Skipping 154 KB..
Full Log91 2.0e-07 8.1e-03 1.2e-05 1.00e+00 1.666374709e+02 1.666379208e+02 1.1e-10 0.79
92 1.8e-07 8.0e-03 1.1e-05 9.99e-01 1.666375000e+02 1.666379050e+02 9.5e-11 0.80
93 1.6e-07 8.0e-03 9.9e-06 9.99e-01 1.666375262e+02 1.666378908e+02 8.6e-11 0.81
94 1.5e-07 8.0e-03 8.9e-06 1.00e+00 1.666375497e+02 1.666378779e+02 7.7e-11 0.82
95 1.3e-07 8.0e-03 8.0e-06 1.00e+00 1.666375709e+02 1.666378663e+02 6.9e-11 0.83
96 1.2e-07 8.0e-03 7.2e-06 1.00e+00 1.666375900e+02 1.666378558e+02 6.2e-11 0.83
97 1.1e-07 7.9e-03 6.5e-06 1.00e+00 1.666376072e+02 1.666378464e+02 5.6e-11 0.84
98 9.5e-08 7.9e-03 5.8e-06 9.99e-01 1.666376226e+02 1.666378379e+02 5.1e-11 0.85
99 8.6e-08 7.9e-03 5.2e-06 1.00e+00 1.666376365e+02 1.666378303e+02 4.6e-11 0.86
100 7.7e-08 7.9e-03 4.7e-06 1.00e+00 1.666376490e+02 1.666378234e+02 4.1e-11 0.87
101 6.9e-08 7.9e-03 4.2e-06 1.00e+00 1.666376603e+02 1.666378172e+02 3.7e-11 0.87
102 6.2e-08 7.9e-03 3.8e-06 9.98e-01 1.666376704e+02 1.666378117e+02 3.3e-11 0.88
103 5.6e-08 7.8e-03 3.4e-06 1.00e+00 1.666376796e+02 1.666378067e+02 3.0e-11 0.89
104 5.1e-08 7.8e-03 3.1e-06 9.99e-01 1.666376878e+02 1.666378022e+02 2.7e-11 0.90
105 4.6e-08 7.8e-03 2.8e-06 1.00e+00 1.666376951e+02 1.666377981e+02 2.4e-11 0.91
106 4.1e-08 7.8e-03 2.5e-06 9.96e-01 1.666377018e+02 1.666377945e+02 2.2e-11 0.91
107 3.7e-08 7.8e-03 2.3e-06 9.98e-01 1.666377078e+02 1.666377912e+02 2.0e-11 0.92
108 3.3e-08 7.8e-03 2.0e-06 1.00e+00 1.666377132e+02 1.666377883e+02 1.8e-11 0.93
109 3.0e-08 7.0e-03 1.8e-06 1.01e+00 1.666377181e+02 1.666377855e+02 1.6e-11 0.94
110 2.7e-08 6.3e-03 1.6e-06 1.00e+00 1.666377224e+02 1.666377831e+02 1.4e-11 0.94
111 2.4e-08 5.7e-03 1.5e-06 1.00e+00 1.666377264e+02 1.666377810e+02 1.3e-11 0.95
112 2.2e-08 5.1e-03 1.3e-06 1.01e+00 1.666377300e+02 1.666377790e+02 1.2e-11 0.96
113 2.0e-08 4.6e-03 1.2e-06 1.00e+00 1.666377332e+02 1.666377772e+02 1.0e-11 0.96
114 2.0e-08 4.6e-03 1.2e-06 9.95e-01 1.666377333e+02 1.666377773e+02 1.0e-11 0.97
115 1.8e-08 4.1e-03 1.1e-06 9.97e-01 1.666377361e+02 1.666377757e+02 9.4e-12 0.98
116 1.6e-08 3.7e-03 9.7e-07 1.01e+00 1.666377387e+02 1.666377743e+02 8.5e-12 0.99
117 1.5e-08 3.3e-03 8.7e-07 1.01e+00 1.666377410e+02 1.666377730e+02 7.6e-12 0.99
118 1.3e-08 3.0e-03 7.8e-07 1.00e+00 1.666377431e+02 1.666377718e+02 6.9e-12 1.00
119 1.2e-08 2.7e-03 7.0e-07 9.99e-01 1.666377450e+02 1.666377708e+02 6.2e-12 1.01
120 1.1e-08 2.4e-03 6.3e-07 9.94e-01 1.666377466e+02 1.666377699e+02 5.6e-12 1.02
121 9.7e-09 2.2e-03 5.7e-07 9.92e-01 1.666377481e+02 1.666377690e+02 5.0e-12 1.03
122 9.0e-09 2.0e-03 5.1e-07 1.01e+00 1.666377495e+02 1.666377683e+02 4.5e-12 1.04
123 8.2e-09 1.8e-03 4.6e-07 9.94e-01 1.666377507e+02 1.666377676e+02 4.1e-12 1.05
124 7.3e-09 1.6e-03 4.2e-07 1.01e+00 1.666377519e+02 1.666377670e+02 3.7e-12 1.05
125 6.6e-09 1.4e-03 3.7e-07 1.00e+00 1.666377528e+02 1.666377664e+02 3.3e-12 1.06
126 5.9e-09 1.3e-03 3.4e-07 9.98e-01 1.666377537e+02 1.666377659e+02 3.0e-12 1.07
127 7.8e-09 1.2e-03 3.0e-07 9.92e-01 1.666377545e+02 1.666377655e+02 2.7e-12 1.08
128 7.0e-09 1.0e-03 2.7e-07 1.01e+00 1.666377552e+02 1.666377651e+02 2.4e-12 1.09
129 6.3e-09 9.4e-04 2.5e-07 1.04e+00 1.666377560e+02 1.666377647e+02 2.2e-12 1.10
130 4.4e-09 8.5e-04 2.2e-07 9.87e-01 1.666377566e+02 1.666377644e+02 2.0e-12 1.10
131 2.2e-08 2.4e-04 4.3e-09 7.60e-01 1.666377647e+02 1.666377650e+02 5.2e-13 1.11
Optimizer terminated. Time: 1.11
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6663776471e+02 nrm: 2e+01 Viol. con: 8e-07 var: 0e+00
Dual. obj: 1.6663776503e+02 nrm: 9e+02 Viol. con: 0e+00 var: 4e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.14 seconds.
Using solver 'mosek'
Solving for 1768 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (312) of matrix 'A'.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 482
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer - threads : 8
Optimizer - solved problem : the primal
Optimizer - Constraints : 873
Optimizer - Cones : 0
Optimizer - Scalar variables : 3462 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.02 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.01
Factor - nonzeros before factor : 1.49e+04 after factor : 1.57e+05
Factor - dense dim. : 0 flops : 3.26e+07
Factor - GP saved nzs : 3.37e+04 GP saved flops : 9.34e+05
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.2e+05 0.00e+00 -1.223844447e+05 2.000000000e+00 1.0e+00 0.03
1 1.7e+03 2.2e+03 8.9e+04 -9.71e-01 -1.216526186e+05 2.621307516e+00 7.3e-01 0.04
2 8.7e+02 1.1e+03 4.7e+04 -9.59e-01 -1.193637044e+05 4.626148661e+00 3.8e-01 0.05
3 2.9e+02 3.8e+02 1.5e+04 -9.21e-01 -1.103995372e+05 1.997391954e+01 1.3e-01 0.06
4 2.9e+02 3.8e+02 1.5e+04 -7.71e-01 -1.080822190e+05 2.042697686e+03 1.3e-01 0.07
5 1.2e+02 1.6e+02 6.4e+03 -7.60e-01 -8.699173306e+04 6.321800779e+03 5.3e-02 0.07
6 4.1e+01 5.4e+01 2.2e+03 -4.49e-01 -4.865820875e+04 1.101126990e+04 1.8e-02 0.08
7 2.4e+01 3.2e+01 1.3e+03 1.99e-01 -3.315603760e+04 7.461031895e+03 1.1e-02 0.09
8 1.2e+01 1.6e+01 6.5e+02 4.98e-01 -1.808984783e+04 4.488227388e+03 5.3e-03 0.10
9 4.6e+00 6.0e+00 2.5e+02 7.63e-01 -7.017022285e+03 2.200334188e+03 2.0e-03 0.10
10 2.1e+00 2.8e+00 1.1e+02 9.36e-01 -3.013574993e+03 1.298063265e+03 9.5e-04 0.11
11 1.3e+00 1.6e+00 6.8e+01 9.86e-01 -1.733134262e+03 8.404669180e+02 5.6e-04 0.12
12 8.1e-01 1.1e+00 4.4e+01 9.87e-01 -1.079217140e+03 6.046322849e+02 3.7e-04 0.13
13 6.1e-01 8.2e-01 3.3e+01 9.60e-01 -7.896096919e+02 4.869528628e+02 2.8e-04 0.13
14 3.6e-01 4.9e-01 1.9e+01 9.97e-01 -3.718428962e+02 3.755278439e+02 1.6e-04 0.14
15 1.8e-01 2.6e-01 1.0e+01 9.91e-01 -1.239916996e+02 2.622463982e+02 8.4e-05 0.15
16 8.5e-02 1.4e-01 4.7e+00 1.00e+00 2.254305964e+01 2.029655165e+02 4.0e-05 0.15
17 7.2e-02 1.1e-01 4.0e+00 1.02e+00 4.882140998e+01 2.008632442e+02 3.4e-05 0.16
18 2.2e-02 8.7e-02 1.3e+00 1.02e+00 1.302065439e+02 1.776815265e+02 1.1e-05 0.17
19 7.3e-03 1.8e-01 4.1e-01 1.01e+00 1.552256873e+02 1.707986362e+02 3.5e-06 0.18
20 2.9e-03 1.6e-01 1.7e-01 1.01e+00 1.619245831e+02 1.681612439e+02 1.4e-06 0.18
21 1.5e-03 1.0e-01 8.9e-02 1.00e+00 1.640996354e+02 1.674649706e+02 7.6e-07 0.19
22 5.3e-04 1.0e-01 3.1e-02 1.01e+00 1.656947408e+02 1.668767093e+02 2.7e-07 0.20
23 1.9e-04 1.0e-01 1.1e-02 1.01e+00 1.662324741e+02 1.666610701e+02 1.0e-07 0.20
24 1.7e-04 9.3e-02 1.0e-02 1.01e+00 1.662653398e+02 1.666509812e+02 9.0e-08 0.21
25 1.5e-04 8.5e-02 9.3e-03 1.01e+00 1.662923135e+02 1.666392585e+02 8.1e-08 0.22
26 1.4e-04 7.7e-02 8.4e-03 1.01e+00 1.663167164e+02 1.666288558e+02 7.3e-08 0.23
27 1.2e-04 7.0e-02 7.5e-03 1.01e+00 1.663385691e+02 1.666194032e+02 6.5e-08 0.23
28 1.1e-04 6.4e-02 6.8e-03 1.01e+00 1.663581774e+02 1.666108524e+02 5.9e-08 0.24
29 1.0e-04 5.8e-02 6.1e-03 1.01e+00 1.663757676e+02 1.666031129e+02 5.3e-08 0.25
30 9.1e-05 5.3e-02 5.5e-03 1.01e+00 1.663915491e+02 1.665961089e+02 4.8e-08 0.26
31 8.2e-05 4.9e-02 4.9e-03 1.01e+00 1.664057090e+02 1.665897710e+02 4.3e-08 0.26
32 7.4e-05 4.5e-02 4.4e-03 1.01e+00 1.664184151e+02 1.665840367e+02 3.9e-08 0.27
33 6.6e-05 4.1e-02 4.0e-03 1.01e+00 1.664298179e+02 1.665788495e+02 3.5e-08 0.28
34 6.0e-05 3.8e-02 3.6e-03 1.01e+00 1.664400524e+02 1.665741581e+02 3.1e-08 0.29
35 5.4e-05 3.5e-02 3.2e-03 1.00e+00 1.664492392e+02 1.665699159e+02 2.8e-08 0.29
36 4.8e-05 3.2e-02 2.9e-03 1.00e+00 1.664574865e+02 1.665660807e+02 2.5e-08 0.30
37 4.3e-05 3.0e-02 2.6e-03 1.00e+00 1.664648914e+02 1.665626140e+02 2.3e-08 0.31
38 3.9e-05 2.7e-02 2.4e-03 1.00e+00 1.664715405e+02 1.665594811e+02 2.1e-08 0.32
39 3.5e-05 2.5e-02 2.1e-03 1.00e+00 1.664775117e+02 1.665566504e+02 1.9e-08 0.33
40 3.2e-05 2.4e-02 1.9e-03 1.00e+00 1.664828746e+02 1.665540932e+02 1.7e-08 0.33
41 2.8e-05 2.2e-02 1.7e-03 1.00e+00 1.664876918e+02 1.665517834e+02 1.5e-08 0.34
42 2.6e-05 2.1e-02 1.6e-03 1.00e+00 1.664920191e+02 1.665496975e+02 1.3e-08 0.35
43 2.3e-05 1.9e-02 1.4e-03 1.00e+00 1.664959069e+02 1.665478142e+02 1.2e-08 0.36
44 2.1e-05 1.8e-02 1.3e-03 1.00e+00 1.664994001e+02 1.665461142e+02 1.1e-08 0.37
45 1.9e-05 1.7e-02 1.1e-03 1.00e+00 1.665025391e+02 1.665445798e+02 9.8e-09 0.38
46 1.7e-05 1.6e-02 1.0e-03 1.00e+00 1.665053603e+02 1.665431953e+02 8.9e-09 0.39
47 1.5e-05 1.5e-02 9.2e-04 1.00e+00 1.665078959e+02 1.665419462e+02 8.0e-09 0.40
48 1.4e-05 1.5e-02 8.2e-04 1.00e+00 1.665101753e+02 1.665408196e+02 7.2e-09 0.41
49 1.2e-05 1.4e-02 7.4e-04 1.00e+00 1.665122245e+02 1.665398036e+02 6.5e-09 0.42
50 1.1e-05 1.3e-02 6.7e-04 1.00e+00 1.665140670e+02 1.665388876e+02 5.8e-09 0.43
51 9.9e-06 1.3e-02 6.0e-04 1.00e+00 1.665157237e+02 1.665380619e+02 5.2e-09 0.44
52 8.9e-06 1.2e-02 5.4e-04 1.00e+00 1.665172136e+02 1.665373176e+02 4.7e-09 0.46
53 8.0e-06 1.2e-02 4.9e-04 1.00e+00 1.665185536e+02 1.665366470e+02 4.2e-09 0.46
54 7.2e-06 1.2e-02 4.4e-04 1.00e+00 1.665197588e+02 1.665360426e+02 3.8e-09 0.47
55 6.5e-06 1.1e-02 3.9e-04 1.00e+00 1.665208428e+02 1.665354981e+02 3.4e-09 0.48
56 5.9e-06 1.1e-02 3.6e-04 1.00e+00 1.665218178e+02 1.665350076e+02 3.1e-09 0.49
57 5.3e-06 1.1e-02 3.2e-04 1.00e+00 1.665226949e+02 1.665345656e+02 2.8e-09 0.50
58 4.8e-06 1.0e-02 2.9e-04 1.00e+00 1.665234838e+02 1.665341674e+02 2.5e-09 0.51
59 4.3e-06 1.0e-02 2.6e-04 1.00e+00 1.665241934e+02 1.665338087e+02 2.3e-09 0.51
60 3.8e-06 1.0e-02 2.3e-04 1.00e+00 1.665248317e+02 1.665334854e+02 2.0e-09 0.52
61 3.5e-06 9.8e-03 2.1e-04 1.00e+00 1.665254057e+02 1.665331941e+02 1.8e-09 0.53
62 3.1e-06 9.7e-03 1.9e-04 1.00e+00 1.665259221e+02 1.665329316e+02 1.6e-09 0.54
63 2.8e-06 9.5e-03 1.7e-04 1.00e+00 1.665263864e+02 1.665326951e+02 1.5e-09 0.55
64 2.5e-06 9.4e-03 1.5e-04 1.00e+00 1.665268042e+02 1.665324819e+02 1.3e-09 0.55
65 2.3e-06 9.2e-03 1.4e-04 1.00e+00 1.665271799e+02 1.665322899e+02 1.2e-09 0.56
66 2.0e-06 9.1e-03 1.2e-04 1.00e+00 1.665275179e+02 1.665321169e+02 1.1e-09 0.57
67 1.8e-06 9.0e-03 1.1e-04 1.00e+00 1.665278220e+02 1.665319611e+02 9.7e-10 0.58
68 1.7e-06 8.9e-03 1.0e-04 1.00e+00 1.665280955e+02 1.665318208e+02 8.7e-10 0.59
69 1.5e-06 8.9e-03 9.0e-05 1.00e+00 1.665283416e+02 1.665316944e+02 7.9e-10 0.59
70 1.3e-06 8.8e-03 8.1e-05 1.00e+00 1.665285630e+02 1.665315805e+02 7.1e-10 0.60
71 1.2e-06 8.7e-03 7.3e-05 1.00e+00 1.665287621e+02 1.665314779e+02 6.4e-10 0.61
72 1.1e-06 8.7e-03 6.6e-05 1.00e+00 1.665289413e+02 1.665313854e+02 5.7e-10 0.62
73 9.8e-07 8.6e-03 5.9e-05 1.00e+00 1.665291024e+02 1.665313022e+02 5.2e-10 0.63
74 8.8e-07 8.6e-03 5.3e-05 1.00e+00 1.665292473e+02 1.665312271e+02 4.6e-10 0.63
75 7.9e-07 8.5e-03 4.8e-05 1.00e+00 1.665293777e+02 1.665311595e+02 4.2e-10 0.64
76 7.1e-07 8.5e-03 4.3e-05 1.00e+00 1.665294950e+02 1.665310986e+02 3.8e-10 0.65
77 6.4e-07 8.4e-03 3.9e-05 1.00e+00 1.665296004e+02 1.665310437e+02 3.4e-10 0.66
78 5.8e-07 8.4e-03 3.5e-05 1.00e+00 1.665296952e+02 1.665309942e+02 3.0e-10 0.67
79 5.2e-07 8.3e-03 3.2e-05 1.00e+00 1.665297805e+02 1.665309496e+02 2.7e-10 0.67
80 4.7e-07 8.3e-03 2.8e-05 1.00e+00 1.665298572e+02 1.665309093e+02 2.5e-10 0.68
81 4.2e-07 8.3e-03 2.6e-05 1.00e+00 1.665299261e+02 1.665308731e+02 2.2e-10 0.69
82 3.8e-07 8.2e-03 2.3e-05 1.00e+00 1.665299881e+02 1.665308404e+02 2.0e-10 0.70
83 3.4e-07 8.2e-03 2.1e-05 1.00e+00 1.665300439e+02 1.665308109e+02 1.8e-10 0.71
84 3.1e-07 8.2e-03 1.9e-05 1.00e+00 1.665300941e+02 1.665307844e+02 1.6e-10 0.71
85 2.8e-07 8.2e-03 1.7e-05 1.00e+00 1.665301392e+02 1.665307605e+02 1.5e-10 0.72
86 2.5e-07 8.1e-03 1.5e-05 1.00e+00 1.665301797e+02 1.665307389e+02 1.3e-10 0.73
87 2.2e-07 8.1e-03 1.4e-05 1.00e+00 1.665302162e+02 1.665307195e+02 1.2e-10 0.74
88 2.0e-07 8.1e-03 1.2e-05 1.00e+00 1.665302490e+02 1.665307020e+02 1.1e-10 0.74
89 1.8e-07 8.1e-03 1.1e-05 1.00e+00 1.665302786e+02 1.665306863e+02 9.6e-11 0.75
90 1.6e-07 8.1e-03 9.9e-06 1.00e+00 1.665303052e+02 1.665306721e+02 8.6e-11 0.76
91 1.5e-07 8.0e-03 8.9e-06 1.00e+00 1.665303291e+02 1.665306593e+02 7.7e-11 0.77
92 1.3e-07 8.0e-03 8.0e-06 1.00e+00 1.665303506e+02 1.665306478e+02 7.0e-11 0.78
93 1.2e-07 8.0e-03 7.2e-06 1.00e+00 1.665303699e+02 1.665306374e+02 6.3e-11 0.78
94 1.1e-07 8.0e-03 6.5e-06 1.00e+00 1.665303873e+02 1.665306281e+02 5.6e-11 0.79
95 9.6e-08 8.0e-03 5.8e-06 1.00e+00 1.665304030e+02 1.665306197e+02 5.1e-11 0.80
96 8.7e-08 7.9e-03 5.3e-06 1.00e+00 1.665304171e+02 1.665306121e+02 4.6e-11 0.81
97 7.8e-08 7.9e-03 4.7e-06 1.00e+00 1.665304298e+02 1.665306053e+02 4.1e-11 0.82
98 7.0e-08 7.9e-03 4.3e-06 1.00e+00 1.665304412e+02 1.665305991e+02 3.7e-11 0.83
99 6.3e-08 7.9e-03 3.8e-06 9.99e-01 1.665304515e+02 1.665305936e+02 3.3e-11 0.83
100 5.7e-08 7.9e-03 3.4e-06 1.00e+00 1.665304607e+02 1.665305887e+02 3.0e-11 0.84
101 5.1e-08 7.8e-03 3.1e-06 1.00e+00 1.665304691e+02 1.665305842e+02 2.7e-11 0.85
102 4.6e-08 7.8e-03 2.8e-06 1.00e+00 1.665304766e+02 1.665305802e+02 2.4e-11 0.86
103 4.1e-08 7.8e-03 2.5e-06 9.99e-01 1.665304833e+02 1.665305766e+02 2.2e-11 0.87
104 3.7e-08 7.8e-03 2.3e-06 9.99e-01 1.665304894e+02 1.665305733e+02 2.0e-11 0.87
105 3.4e-08 7.8e-03 2.0e-06 9.99e-01 1.665304948e+02 1.665305704e+02 1.8e-11 0.88
106 3.0e-08 7.7e-03 1.8e-06 1.00e+00 1.665304997e+02 1.665305678e+02 1.6e-11 0.89
107 2.7e-08 7.7e-03 1.6e-06 1.00e+00 1.665305041e+02 1.665305655e+02 1.4e-11 0.90
108 2.4e-08 7.7e-03 1.5e-06 9.97e-01 1.665305081e+02 1.665305633e+02 1.3e-11 0.91
109 2.2e-08 6.9e-03 1.3e-06 1.00e+00 1.665305117e+02 1.665305614e+02 1.2e-11 0.91
110 2.0e-08 6.2e-03 1.2e-06 9.97e-01 1.665305149e+02 1.665305596e+02 1.0e-11 0.92
111 1.8e-08 5.6e-03 1.1e-06 9.97e-01 1.665305178e+02 1.665305581e+02 9.4e-12 0.93
112 1.6e-08 5.0e-03 9.7e-07 1.00e+00 1.665305205e+02 1.665305567e+02 8.5e-12 0.94
113 1.5e-08 4.5e-03 8.8e-07 9.96e-01 1.665305228e+02 1.665305554e+02 7.6e-12 0.95
114 1.3e-08 4.1e-03 7.9e-07 9.88e-01 1.665305249e+02 1.665305545e+02 6.9e-12 0.96
115 1.2e-08 3.7e-03 7.1e-07 9.88e-01 1.665305268e+02 1.665305535e+02 6.2e-12 0.97
116 1.1e-08 3.3e-03 6.4e-07 9.98e-01 1.665305285e+02 1.665305524e+02 5.6e-12 0.98
117 9.9e-09 3.0e-03 5.8e-07 9.78e-01 1.665305300e+02 1.665305517e+02 5.0e-12 0.98
118 8.9e-09 2.7e-03 5.2e-07 9.91e-01 1.665305314e+02 1.665305510e+02 4.5e-12 0.99
119 8.0e-09 2.4e-03 4.7e-07 9.99e-01 1.665305327e+02 1.665305503e+02 4.1e-12 1.00
120 7.2e-09 2.2e-03 4.2e-07 1.01e+00 1.665305338e+02 1.665305496e+02 3.7e-12 1.01
121 6.5e-09 2.0e-03 3.8e-07 9.92e-01 1.665305348e+02 1.665305491e+02 3.3e-12 1.02
122 5.9e-09 1.8e-03 3.4e-07 9.85e-01 1.665305358e+02 1.665305486e+02 3.0e-12 1.02
123 5.3e-09 1.6e-03 3.1e-07 9.93e-01 1.665305366e+02 1.665305481e+02 2.7e-12 1.03
124 4.8e-09 1.4e-03 2.8e-07 9.93e-01 1.665305373e+02 1.665305477e+02 2.4e-12 1.04
125 4.4e-09 1.3e-03 2.5e-07 9.82e-01 1.665305380e+02 1.665305473e+02 2.2e-12 1.05
126 3.9e-09 1.2e-03 2.2e-07 9.90e-01 1.665305386e+02 1.665305470e+02 2.0e-12 1.06
127 3.6e-09 1.0e-03 2.0e-07 1.00e+00 1.665305391e+02 1.665305467e+02 1.8e-12 1.07
128 3.4e-09 9.3e-04 1.8e-07 9.96e-01 1.665305396e+02 1.665305464e+02 1.6e-12 1.08
129 3.1e-09 8.4e-04 1.6e-07 1.01e+00 1.665305400e+02 1.665305462e+02 1.4e-12 1.08
130 3.3e-10 8.8e-05 1.7e-08 1.00e+00 1.665305435e+02 1.665305442e+02 1.5e-13 1.09
Optimizer terminated. Time: 1.09
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6653054354e+02 nrm: 2e+01 Viol. con: 5e-09 var: 0e+00
Dual. obj: 1.6653054419e+02 nrm: 1e+03 Viol. con: 0e+00 var: 6e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.12 seconds.
Using solver 'mosek'
Solving for 1768 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 482
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer - threads : 8
Optimizer - solved problem : the primal
Optimizer - Constraints : 873
Optimizer - Cones : 0
Optimizer - Scalar variables : 3462 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.02 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.49e+04 after factor : 1.57e+05
Factor - dense dim. : 0 flops : 3.26e+07
Factor - GP saved nzs : 3.37e+04 GP saved flops : 9.34e+05
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.2e+05 0.00e+00 -1.223814476e+05 2.000000000e+00 1.0e+00 0.04
1 1.7e+03 2.2e+03 8.9e+04 -9.71e-01 -1.216494472e+05 2.619367401e+00 7.3e-01 0.05
2 8.8e+02 1.1e+03 4.7e+04 -9.59e-01 -1.193668588e+05 4.615079961e+00 3.8e-01 0.06
3 2.9e+02 3.8e+02 1.5e+04 -9.22e-01 -1.103488376e+05 2.001954112e+01 1.3e-01 0.07
4 2.9e+02 3.7e+02 1.5e+04 -7.70e-01 -1.080517227e+05 2.030288678e+03 1.3e-01 0.08
5 1.2e+02 1.6e+02 6.4e+03 -7.60e-01 -8.691249091e+04 6.300042381e+03 5.3e-02 0.08
6 3.3e+01 4.4e+01 1.8e+03 -4.48e-01 -4.076173705e+04 1.195352215e+04 1.5e-02 0.09
7 2.0e+01 2.6e+01 1.1e+03 3.43e-01 -2.786822718e+04 7.429401555e+03 8.9e-03 0.10
8 1.0e+01 1.3e+01 5.5e+02 5.95e-01 -1.543124716e+04 4.210800516e+03 4.6e-03 0.11
9 3.8e+00 5.0e+00 2.0e+02 8.09e-01 -5.794203935e+03 1.901433143e+03 1.7e-03 0.12
10 2.0e+00 2.7e+00 1.1e+02 9.51e-01 -2.950006101e+03 1.198522177e+03 9.1e-04 0.13
11 8.4e-01 1.1e+00 4.6e+01 9.87e-01 -1.120062289e+03 6.297849203e+02 3.8e-04 0.13
12 8.2e-01 1.1e+00 4.4e+01 9.56e-01 -1.104063312e+03 6.055348872e+02 3.7e-04 0.14
13 5.2e-01 6.8e-01 2.8e+01 9.72e-01 -6.586925530e+02 4.339055833e+02 2.4e-04 0.15
14 3.3e-01 4.4e-01 1.8e+01 1.00e+00 -3.420367133e+02 3.489387007e+02 1.5e-04 0.16
15 1.1e-01 1.8e-01 6.4e+00 9.98e-01 -2.743178241e+01 2.173562659e+02 5.4e-05 0.17
16 8.4e-02 1.3e-01 4.7e+00 1.02e+00 2.608518550e+01 2.049294771e+02 4.0e-05 0.17
17 6.2e-02 9.8e-02 3.5e+00 1.02e+00 6.444236661e+01 1.967541398e+02 2.9e-05 0.18
18 2.0e-02 8.0e-02 1.1e+00 1.02e+00 1.340709579e+02 1.769759093e+02 9.6e-06 0.19
19 6.6e-03 1.7e-01 3.8e-01 1.01e+00 1.562513680e+02 1.703536155e+02 3.2e-06 0.20
20 2.7e-03 2.1e-01 1.6e-01 1.01e+00 1.620619472e+02 1.679613977e+02 1.3e-06 0.21
21 1.2e-03 1.2e-01 7.1e-02 1.01e+00 1.645571871e+02 1.672153103e+02 6.1e-07 0.21
22 3.4e-04 1.2e-01 2.1e-02 1.01e+00 1.659288219e+02 1.667080189e+02 1.8e-07 0.22
23 1.5e-04 1.0e-01 9.4e-03 1.01e+00 1.662327709e+02 1.665829207e+02 8.3e-08 0.23
24 7.1e-05 8.5e-02 4.4e-03 1.01e+00 1.663630105e+02 1.665261053e+02 3.9e-08 0.24
25 6.4e-05 7.7e-02 4.0e-03 1.01e+00 1.663764090e+02 1.665232521e+02 3.5e-08 0.25
26 5.8e-05 7.0e-02 3.6e-03 1.01e+00 1.663863543e+02 1.665184592e+02 3.1e-08 0.25
27 5.2e-05 6.4e-02 3.2e-03 1.01e+00 1.663954693e+02 1.665143316e+02 2.8e-08 0.26
28 4.7e-05 5.8e-02 2.9e-03 1.01e+00 1.664036141e+02 1.665105620e+02 2.6e-08 0.27
29 4.2e-05 5.3e-02 2.6e-03 1.01e+00 1.664109292e+02 1.665071595e+02 2.3e-08 0.28
30 3.8e-05 4.9e-02 2.3e-03 1.01e+00 1.664174953e+02 1.665040837e+02 2.1e-08 0.29
31 3.4e-05 4.5e-02 2.1e-03 1.01e+00 1.664233907e+02 1.665013049e+02 1.9e-08 0.29
32 3.1e-05 4.1e-02 1.9e-03 1.01e+00 1.664286846e+02 1.664987947e+02 1.7e-08 0.30
33 2.8e-05 3.8e-02 1.7e-03 1.00e+00 1.664334388e+02 1.664965276e+02 1.5e-08 0.31
34 2.5e-05 3.5e-02 1.5e-03 1.00e+00 1.664377089e+02 1.664944805e+02 1.4e-08 0.32
35 2.2e-05 3.2e-02 1.4e-03 1.00e+00 1.664415447e+02 1.664926323e+02 1.2e-08 0.32
36 2.0e-05 3.0e-02 1.2e-03 1.00e+00 1.664449907e+02 1.664909640e+02 1.1e-08 0.33
37 1.8e-05 2.8e-02 1.1e-03 1.00e+00 1.664480869e+02 1.664894583e+02 9.9e-09 0.34
38 1.6e-05 2.6e-02 1.0e-03 1.00e+00 1.664508690e+02 1.664880997e+02 8.9e-09 0.35
39 1.5e-05 2.4e-02 9.1e-04 1.00e+00 1.664533693e+02 1.664868740e+02 8.0e-09 0.36
40 1.3e-05 2.2e-02 8.2e-04 1.00e+00 1.664556164e+02 1.664857684e+02 7.2e-09 0.37
41 1.2e-05 2.1e-02 7.4e-04 1.00e+00 1.664576363e+02 1.664847712e+02 6.5e-09 0.37
42 1.1e-05 2.0e-02 6.6e-04 1.00e+00 1.664594521e+02 1.664838720e+02 5.8e-09 0.38
43 9.6e-06 1.8e-02 6.0e-04 1.00e+00 1.664610846e+02 1.664830613e+02 5.3e-09 0.39
44 8.7e-06 1.7e-02 5.4e-04 1.00e+00 1.664625525e+02 1.664823305e+02 4.7e-09 0.40
45 7.8e-06 1.6e-02 4.8e-04 1.00e+00 1.664638724e+02 1.664816719e+02 4.3e-09 0.41
46 7.0e-06 1.6e-02 4.3e-04 1.00e+00 1.664650594e+02 1.664810783e+02 3.8e-09 0.42
47 6.3e-06 1.5e-02 3.9e-04 1.00e+00 1.664661269e+02 1.664805435e+02 3.5e-09 0.42
48 5.7e-06 1.4e-02 3.5e-04 1.00e+00 1.664670870e+02 1.664800616e+02 3.1e-09 0.43
49 5.1e-06 1.3e-02 3.2e-04 1.00e+00 1.664679506e+02 1.664796275e+02 2.8e-09 0.44
50 4.6e-06 1.3e-02 2.9e-04 1.00e+00 1.664687275e+02 1.664792364e+02 2.5e-09 0.45
51 4.1e-06 1.2e-02 2.6e-04 1.00e+00 1.664694263e+02 1.664788842e+02 2.3e-09 0.46
52 3.7e-06 1.2e-02 2.3e-04 1.00e+00 1.664700549e+02 1.664785668e+02 2.0e-09 0.46
53 3.4e-06 1.2e-02 2.1e-04 1.00e+00 1.664706203e+02 1.664782810e+02 1.8e-09 0.47
54 3.0e-06 1.1e-02 1.9e-04 1.00e+00 1.664711290e+02 1.664780235e+02 1.7e-09 0.48
55 2.7e-06 1.1e-02 1.7e-04 1.00e+00 1.664715866e+02 1.664777916e+02 1.5e-09 0.49
56 2.4e-06 1.1e-02 1.5e-04 1.00e+00 1.664719983e+02 1.664775828e+02 1.3e-09 0.50
57 2.2e-06 1.0e-02 1.4e-04 1.00e+00 1.664723688e+02 1.664773948e+02 1.2e-09 0.50
58 2.0e-06 1.0e-02 1.2e-04 1.00e+00 1.664727021e+02 1.664772255e+02 1.1e-09 0.51
59 1.8e-06 9.8e-03 1.1e-04 1.00e+00 1.664730022e+02 1.664770732e+02 9.8e-10 0.52
60 1.6e-06 9.6e-03 9.9e-05 1.00e+00 1.664732721e+02 1.664769360e+02 8.8e-10 0.53
61 1.4e-06 9.4e-03 9.0e-05 1.00e+00 1.664735151e+02 1.664768126e+02 7.9e-10 0.54
62 1.3e-06 9.3e-03 8.1e-05 1.00e+00 1.664737337e+02 1.664767015e+02 7.1e-10 0.55
63 1.2e-06 9.1e-03 7.3e-05 1.00e+00 1.664739305e+02 1.664766015e+02 6.4e-10 0.55
64 1.1e-06 9.0e-03 6.5e-05 1.00e+00 1.664741076e+02 1.664765115e+02 5.8e-10 0.56
65 9.5e-07 8.9e-03 5.9e-05 1.00e+00 1.664742669e+02 1.664764304e+02 5.2e-10 0.57
66 8.5e-07 8.8e-03 5.3e-05 1.00e+00 1.664744103e+02 1.664763575e+02 4.7e-10 0.58
67 7.7e-07 8.7e-03 4.8e-05 1.00e+00 1.664745393e+02 1.664762918e+02 4.2e-10 0.58
68 6.9e-07 8.6e-03 4.3e-05 1.00e+00 1.664746554e+02 1.664762326e+02 3.8e-10 0.59
69 6.2e-07 8.5e-03 3.9e-05 1.00e+00 1.664747598e+02 1.664761793e+02 3.4e-10 0.60
70 5.6e-07 8.4e-03 3.5e-05 1.00e+00 1.664748538e+02 1.664761313e+02 3.1e-10 0.61
71 5.0e-07 8.4e-03 3.1e-05 1.00e+00 1.664749383e+02 1.664760881e+02 2.8e-10 0.62
72 4.5e-07 8.3e-03 2.8e-05 1.00e+00 1.664750143e+02 1.664760492e+02 2.5e-10 0.62
73 4.1e-07 8.3e-03 2.5e-05 1.00e+00 1.664750827e+02 1.664760141e+02 2.2e-10 0.63
74 3.7e-07 8.2e-03 2.3e-05 1.00e+00 1.664751442e+02 1.664759824e+02 2.0e-10 0.64
75 3.3e-07 8.2e-03 2.0e-05 1.00e+00 1.664751995e+02 1.664759540e+02 1.8e-10 0.65
76 3.0e-07 8.1e-03 1.8e-05 1.00e+00 1.664752493e+02 1.664759283e+02 1.6e-10 0.66
77 2.7e-07 8.1e-03 1.7e-05 1.00e+00 1.664752941e+02 1.664759052e+02 1.5e-10 0.67
78 2.4e-07 8.1e-03 1.5e-05 1.00e+00 1.664753344e+02 1.664758844e+02 1.3e-10 0.67
79 2.2e-07 8.0e-03 1.3e-05 1.00e+00 1.664753707e+02 1.664758656e+02 1.2e-10 0.68
80 2.0e-07 8.0e-03 1.2e-05 1.00e+00 1.664754033e+02 1.664758488e+02 1.1e-10 0.69
81 1.8e-07 8.0e-03 1.1e-05 1.00e+00 1.664754326e+02 1.664758336e+02 9.6e-11 0.70
82 1.6e-07 7.9e-03 9.8e-06 1.00e+00 1.664754590e+02 1.664758199e+02 8.7e-11 0.71
83 1.4e-07 7.9e-03 8.8e-06 1.00e+00 1.664754828e+02 1.664758076e+02 7.8e-11 0.72
84 1.3e-07 7.9e-03 7.9e-06 1.00e+00 1.664755042e+02 1.664757965e+02 7.0e-11 0.72
85 1.2e-07 7.9e-03 7.1e-06 1.00e+00 1.664755234e+02 1.664757865e+02 6.3e-11 0.73
86 1.0e-07 7.8e-03 6.4e-06 1.00e+00 1.664755408e+02 1.664757775e+02 5.7e-11 0.75
87 9.3e-08 7.8e-03 5.8e-06 1.00e+00 1.664755563e+02 1.664757694e+02 5.1e-11 0.76
88 8.4e-08 7.8e-03 5.2e-06 9.99e-01 1.664755704e+02 1.664757622e+02 4.6e-11 0.76
89 7.6e-08 7.8e-03 4.7e-06 1.00e+00 1.664755830e+02 1.664757556e+02 4.1e-11 0.77
90 6.8e-08 7.8e-03 4.2e-06 9.97e-01 1.664755943e+02 1.664757497e+02 3.7e-11 0.78
91 6.1e-08 7.8e-03 3.8e-06 1.00e+00 1.664756046e+02 1.664757444e+02 3.4e-11 0.79
92 5.5e-08 7.7e-03 3.4e-06 9.99e-01 1.664756138e+02 1.664757396e+02 3.0e-11 0.80
93 5.0e-08 7.7e-03 3.1e-06 1.00e+00 1.664756220e+02 1.664757353e+02 2.7e-11 0.80
94 4.5e-08 7.7e-03 2.8e-06 1.00e+00 1.664756295e+02 1.664757314e+02 2.4e-11 0.81
95 4.0e-08 7.7e-03 2.5e-06 1.00e+00 1.664756362e+02 1.664757279e+02 2.2e-11 0.82
96 3.6e-08 7.7e-03 2.2e-06 1.00e+00 1.664756422e+02 1.664757248e+02 2.0e-11 0.83
97 3.3e-08 7.7e-03 2.0e-06 1.00e+00 1.664756477e+02 1.664757220e+02 1.8e-11 0.84
98 2.9e-08 7.7e-03 1.8e-06 1.00e+00 1.664756526e+02 1.664757194e+02 1.6e-11 0.85
99 2.6e-08 7.7e-03 1.6e-06 1.00e+00 1.664756570e+02 1.664757171e+02 1.4e-11 0.86
100 2.4e-08 7.6e-03 1.5e-06 1.00e+00 1.664756609e+02 1.664757151e+02 1.3e-11 0.87
101 2.1e-08 7.6e-03 1.3e-06 1.00e+00 1.664756645e+02 1.664757132e+02 1.2e-11 0.88
102 1.9e-08 7.6e-03 1.2e-06 1.00e+00 1.664756677e+02 1.664757116e+02 1.1e-11 0.89
103 1.7e-08 7.6e-03 1.1e-06 9.94e-01 1.664756706e+02 1.664757101e+02 9.5e-12 0.89
104 1.6e-08 6.8e-03 9.7e-07 1.00e+00 1.664756732e+02 1.664757087e+02 8.5e-12 0.90
105 1.4e-08 6.2e-03 8.7e-07 1.01e+00 1.664756756e+02 1.664757075e+02 7.7e-12 0.91
106 1.3e-08 5.5e-03 7.8e-07 1.00e+00 1.664756777e+02 1.664757064e+02 6.9e-12 0.92
107 1.1e-08 5.0e-03 7.0e-07 1.00e+00 1.664756795e+02 1.664757054e+02 6.2e-12 0.93
108 1.0e-08 4.5e-03 6.3e-07 9.95e-01 1.664756812e+02 1.664757045e+02 5.6e-12 0.93
109 9.2e-09 4.0e-03 5.7e-07 1.01e+00 1.664756828e+02 1.664757037e+02 5.1e-12 0.94
110 3.5e-09 4.1e-04 5.8e-08 9.98e-01 1.664756951e+02 1.664756973e+02 5.3e-13 0.95
Optimizer terminated. Time: 0.95
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6647569515e+02 nrm: 2e+01 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6647569729e+02 nrm: 1e+03 Viol. con: 0e+00 var: 3e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 0.976 seconds.
Using solver 'mosek'
Solving for 1768 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (313) of matrix 'A'.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 482
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer - threads : 8
Optimizer - solved problem : the primal
Optimizer - Constraints : 873
Optimizer - Cones : 0
Optimizer - Scalar variables : 3462 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.02 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.01
Factor - nonzeros before factor : 1.49e+04 after factor : 1.57e+05
Factor - dense dim. : 0 flops : 3.26e+07
Factor - GP saved nzs : 3.37e+04 GP saved flops : 9.34e+05
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.2e+05 0.00e+00 -1.223801642e+05 2.000000000e+00 1.0e+00 0.03
1 1.7e+03 2.2e+03 8.9e+04 -9.71e-01 -1.216483304e+05 2.618565322e+00 7.3e-01 0.04
2 8.8e+02 1.1e+03 4.7e+04 -9.59e-01 -1.193676752e+05 4.610922688e+00 3.8e-01 0.05
3 2.9e+02 3.8e+02 1.5e+04 -9.22e-01 -1.103165945e+05 2.004323456e+01 1.3e-01 0.06
4 2.9e+02 3.7e+02 1.5e+04 -7.70e-01 -1.080284782e+05 2.025515228e+03 1.3e-01 0.07
5 1.2e+02 1.5e+02 6.3e+03 -7.60e-01 -8.689193228e+04 6.277145300e+03 5.2e-02 0.08
6 2.9e+01 3.7e+01 1.5e+03 -4.47e-01 -3.555978381e+04 1.254685311e+04 1.3e-02 0.09
7 1.8e+01 2.4e+01 9.7e+02 4.41e-01 -2.517278879e+04 7.242664304e+03 8.0e-03 0.09
8 1.0e+01 1.3e+01 5.5e+02 6.44e-01 -1.529020587e+04 4.344385208e+03 4.5e-03 0.10
9 3.9e+00 5.1e+00 2.1e+02 8.11e-01 -6.021009645e+03 1.946579789e+03 1.8e-03 0.11
10 2.0e+00 2.6e+00 1.1e+02 9.48e-01 -2.964906920e+03 1.186949867e+03 9.1e-04 0.12
11 8.4e-01 1.1e+00 4.6e+01 9.87e-01 -1.106052242e+03 6.319965104e+02 3.8e-04 0.13
12 8.1e-01 1.1e+00 4.4e+01 9.51e-01 -1.097849102e+03 6.089590342e+02 3.7e-04 0.14
13 5.2e-01 6.8e-01 2.8e+01 9.70e-01 -6.574957640e+02 4.370627639e+02 2.4e-04 0.14
14 3.2e-01 4.3e-01 1.8e+01 1.00e+00 -3.348534794e+02 3.460902080e+02 1.5e-04 0.15
15 1.1e-01 1.7e-01 6.2e+00 9.99e-01 -2.180331029e+01 2.157527514e+02 5.2e-05 0.16
16 8.5e-02 1.3e-01 4.7e+00 1.02e+00 2.564071194e+01 2.060915714e+02 4.0e-05 0.17
17 4.8e-02 9.3e-02 2.7e+00 1.02e+00 8.830023858e+01 1.901940651e+02 2.3e-05 0.18
18 1.2e-02 1.7e-01 7.0e-01 1.02e+00 1.470192463e+02 1.734322407e+02 5.9e-06 0.18
19 3.5e-03 2.1e-01 2.1e-01 1.01e+00 1.607382761e+02 1.684750030e+02 1.7e-06 0.19
20 2.1e-03 2.2e-01 1.2e-01 1.00e+00 1.630800225e+02 1.676831725e+02 1.0e-06 0.20
21 6.2e-04 1.5e-01 3.7e-02 1.01e+00 1.654579564e+02 1.668570066e+02 3.2e-07 0.21
22 4.6e-04 1.2e-01 2.8e-02 9.95e-01 1.657162583e+02 1.667485014e+02 2.4e-07 0.22
23 2.4e-04 8.3e-02 1.5e-02 9.83e-01 1.660592328e+02 1.666093529e+02 1.3e-07 0.24
24 2.0e-04 7.0e-02 1.2e-02 1.00e+00 1.661253009e+02 1.665865316e+02 1.1e-07 0.25
25 1.8e-04 6.4e-02 1.1e-02 1.01e+00 1.661586806e+02 1.665735495e+02 9.6e-08 0.26
26 1.6e-04 5.9e-02 1.0e-02 1.01e+00 1.661875497e+02 1.665608333e+02 8.7e-08 0.27
27 1.5e-04 5.3e-02 9.0e-03 1.01e+00 1.662136630e+02 1.665495611e+02 7.8e-08 0.28
28 1.3e-04 4.9e-02 8.1e-03 1.00e+00 1.662370559e+02 1.665393192e+02 7.0e-08 0.29
29 1.2e-04 4.5e-02 7.3e-03 1.00e+00 1.662580556e+02 1.665300572e+02 6.3e-08 0.30
30 1.1e-04 4.1e-02 6.6e-03 1.00e+00 1.662769026e+02 1.665216766e+02 5.7e-08 0.30
31 9.6e-05 3.8e-02 5.9e-03 1.00e+00 1.662938192e+02 1.665140945e+02 5.1e-08 0.31
32 8.7e-05 3.5e-02 5.3e-03 1.00e+00 1.663090035e+02 1.665072347e+02 4.6e-08 0.32
33 7.8e-05 3.2e-02 4.8e-03 1.00e+00 1.663226331e+02 1.665010285e+02 4.2e-08 0.33
34 7.0e-05 3.0e-02 4.3e-03 1.00e+00 1.663348676e+02 1.664954137e+02 3.7e-08 0.33
35 6.3e-05 2.7e-02 3.9e-03 1.00e+00 1.663458504e+02 1.664903343e+02 3.4e-08 0.34
36 5.7e-05 2.5e-02 3.5e-03 1.00e+00 1.663557101e+02 1.664857397e+02 3.0e-08 0.35
37 5.1e-05 2.4e-02 3.1e-03 1.00e+00 1.663645623e+02 1.664815845e+02 2.7e-08 0.36
38 4.6e-05 2.2e-02 2.8e-03 1.00e+00 1.663725107e+02 1.664778272e+02 2.5e-08 0.37
39 4.1e-05 2.1e-02 2.6e-03 1.00e+00 1.663796481e+02 1.664744304e+02 2.2e-08 0.37
40 3.7e-05 1.9e-02 2.3e-03 1.00e+00 1.663860580e+02 1.664713600e+02 2.0e-08 0.38
41 3.4e-05 1.8e-02 2.1e-03 1.00e+00 1.663918150e+02 1.664685853e+02 1.8e-08 0.39
42 3.0e-05 1.7e-02 1.9e-03 1.00e+00 1.663969860e+02 1.664660781e+02 1.6e-08 0.40
43 2.7e-05 1.6e-02 1.7e-03 1.00e+00 1.664016309e+02 1.664638129e+02 1.5e-08 0.40
44 2.5e-05 1.5e-02 1.5e-03 1.00e+00 1.664058036e+02 1.664617668e+02 1.3e-08 0.41
45 2.2e-05 1.5e-02 1.4e-03 1.00e+00 1.664095523e+02 1.664599187e+02 1.2e-08 0.42
46 2.0e-05 1.4e-02 1.2e-03 1.00e+00 1.664129203e+02 1.664582497e+02 1.1e-08 0.43
47 1.8e-05 1.3e-02 1.1e-03 1.00e+00 1.664159464e+02 1.664567427e+02 9.5e-09 0.44
48 1.6e-05 1.3e-02 9.9e-04 1.00e+00 1.664186655e+02 1.664553820e+02 8.6e-09 0.45
49 1.4e-05 1.2e-02 8.9e-04 1.00e+00 1.664211089e+02 1.664541537e+02 7.7e-09 0.46
50 1.3e-05 1.2e-02 8.0e-04 1.00e+00 1.664233046e+02 1.664530450e+02 6.9e-09 0.46
51 1.2e-05 1.1e-02 7.2e-04 1.00e+00 1.664252780e+02 1.664520443e+02 6.3e-09 0.47
52 1.1e-05 1.1e-02 6.5e-04 1.00e+00 1.664270516e+02 1.664511413e+02 5.6e-09 0.48
53 9.5e-06 1.1e-02 5.8e-04 1.00e+00 1.664286458e+02 1.664503266e+02 5.1e-09 0.49
54 8.5e-06 1.1e-02 5.3e-04 1.00e+00 1.664300788e+02 1.664495916e+02 4.6e-09 0.50
55 7.7e-06 1.0e-02 4.7e-04 1.00e+00 1.664313669e+02 1.664489285e+02 4.1e-09 0.50
56 6.9e-06 1.0e-02 4.3e-04 1.00e+00 1.664325250e+02 1.664483305e+02 3.7e-09 0.51
57 6.2e-06 9.9e-03 3.8e-04 1.00e+00 1.664335662e+02 1.664477912e+02 3.3e-09 0.52
58 5.6e-06 9.7e-03 3.4e-04 1.00e+00 1.664345023e+02 1.664473049e+02 3.0e-09 0.53
59 5.0e-06 9.5e-03 3.1e-04 1.00e+00 1.664353439e+02 1.664468664e+02 2.7e-09 0.53
60 4.5e-06 9.4e-03 2.8e-04 1.00e+00 1.664361007e+02 1.664464710e+02 2.4e-09 0.54
61 4.1e-06 9.2e-03 2.5e-04 1.00e+00 1.664367812e+02 1.664461145e+02 2.2e-09 0.55
62 3.7e-06 9.1e-03 2.3e-04 1.00e+00 1.664373931e+02 1.664457931e+02 2.0e-09 0.56
63 3.3e-06 9.0e-03 2.0e-04 1.00e+00 1.664379433e+02 1.664455033e+02 1.8e-09 0.57
64 3.0e-06 8.9e-03 1.8e-04 1.00e+00 1.664384380e+02 1.664452421e+02 1.6e-09 0.58
65 2.7e-06 8.8e-03 1.7e-04 1.00e+00 1.664388829e+02 1.664450067e+02 1.4e-09 0.59
66 2.4e-06 8.7e-03 1.5e-04 1.00e+00 1.664392831e+02 1.664447945e+02 1.3e-09 0.59
67 2.2e-06 8.6e-03 1.3e-04 1.00e+00 1.664396430e+02 1.664446034e+02 1.2e-09 0.60
68 2.0e-06 8.6e-03 1.2e-04 1.00e+00 1.664399668e+02 1.664444312e+02 1.0e-09 0.61
69 1.8e-06 8.5e-03 1.1e-04 1.00e+00 1.664402581e+02 1.664442761e+02 9.4e-10 0.62
70 1.6e-06 8.4e-03 9.7e-05 1.00e+00 1.664405202e+02 1.664441363e+02 8.5e-10 0.63
71 1.4e-06 8.4e-03 8.8e-05 1.00e+00 1.664407559e+02 1.664440105e+02 7.6e-10 0.63
72 1.3e-06 8.3e-03 7.9e-05 1.00e+00 1.664409680e+02 1.664438972e+02 6.9e-10 0.64
73 1.2e-06 8.3e-03 7.1e-05 1.00e+00 1.664411588e+02 1.664437951e+02 6.2e-10 0.65
74 1.0e-06 8.2e-03 6.4e-05 1.00e+00 1.664413305e+02 1.664437031e+02 5.6e-10 0.66
75 9.3e-07 8.2e-03 5.8e-05 1.00e+00 1.664414849e+02 1.664436203e+02 5.0e-10 0.67
76 8.4e-07 8.1e-03 5.2e-05 1.00e+00 1.664416238e+02 1.664435457e+02 4.5e-10 0.67
77 7.6e-07 8.1e-03 4.7e-05 1.00e+00 1.664417488e+02 1.664434785e+02 4.0e-10 0.68
78 6.8e-07 8.1e-03 4.2e-05 1.00e+00 1.664418612e+02 1.664434180e+02 3.6e-10 0.69
79 6.1e-07 8.0e-03 3.8e-05 1.00e+00 1.664419624e+02 1.664433635e+02 3.3e-10 0.70
80 5.5e-07 8.0e-03 3.4e-05 1.00e+00 1.664420534e+02 1.664433144e+02 3.0e-10 0.71
81 5.0e-07 8.0e-03 3.1e-05 1.00e+00 1.664421352e+02 1.664432702e+02 2.7e-10 0.72
82 4.5e-07 7.9e-03 2.8e-05 1.00e+00 1.664422089e+02 1.664432303e+02 2.4e-10 0.72
83 4.0e-07 7.9e-03 2.5e-05 1.00e+00 1.664422751e+02 1.664431944e+02 2.2e-10 0.73
84 3.6e-07 7.9e-03 2.2e-05 1.00e+00 1.664423347e+02 1.664431621e+02 1.9e-10 0.74
85 3.3e-07 7.9e-03 2.0e-05 1.00e+00 1.664423883e+02 1.664431330e+02 1.7e-10 0.75
86 2.9e-07 7.8e-03 1.8e-05 1.00e+00 1.664424366e+02 1.664431067e+02 1.6e-10 0.76
87 2.6e-07 7.8e-03 1.6e-05 1.00e+00 1.664424800e+02 1.664430831e+02 1.4e-10 0.77
88 2.4e-07 7.8e-03 1.5e-05 1.00e+00 1.664425190e+02 1.664430619e+02 1.3e-10 0.77
89 2.1e-07 7.8e-03 1.3e-05 1.00e+00 1.664425542e+02 1.664430428e+02 1.1e-10 0.78
90 1.9e-07 7.8e-03 1.2e-05 1.00e+00 1.664425858e+02 1.664430256e+02 1.0e-10 0.79
91 1.7e-07 7.8e-03 1.1e-05 1.00e+00 1.664426143e+02 1.664430101e+02 9.3e-11 0.80
92 1.6e-07 7.7e-03 9.6e-06 1.00e+00 1.664426399e+02 1.664429961e+02 8.3e-11 0.81
93 1.4e-07 7.7e-03 8.6e-06 1.00e+00 1.664426630e+02 1.664429836e+02 7.5e-11 0.82
94 1.3e-07 7.7e-03 7.8e-06 1.00e+00 1.664426838e+02 1.664429723e+02 6.8e-11 0.82
95 1.1e-07 7.7e-03 7.0e-06 1.00e+00 1.664427025e+02 1.664429622e+02 6.1e-11 0.83
96 1.0e-07 7.7e-03 6.3e-06 1.00e+00 1.664427193e+02 1.664429530e+02 5.5e-11 0.84
97 9.2e-08 7.7e-03 5.7e-06 1.00e+00 1.664427344e+02 1.664429448e+02 4.9e-11 0.85
98 8.3e-08 7.7e-03 5.1e-06 9.99e-01 1.664427480e+02 1.664429374e+02 4.4e-11 0.86
99 7.5e-08 7.6e-03 4.6e-06 1.00e+00 1.664427603e+02 1.664429307e+02 4.0e-11 0.87
100 6.7e-08 7.6e-03 4.1e-06 1.00e+00 1.664427713e+02 1.664429247e+02 3.6e-11 0.87
101 6.0e-08 7.6e-03 3.7e-06 1.00e+00 1.664427813e+02 1.664429193e+02 3.2e-11 0.88
102 5.4e-08 7.6e-03 3.3e-06 9.98e-01 1.664427902e+02 1.664429145e+02 2.9e-11 0.89
103 4.9e-08 7.6e-03 3.0e-06 1.00e+00 1.664427983e+02 1.664429101e+02 2.6e-11 0.90
104 4.4e-08 7.6e-03 2.7e-06 1.00e+00 1.664428055e+02 1.664429062e+02 2.4e-11 0.91
105 4.0e-08 7.6e-03 2.4e-06 1.00e+00 1.664428120e+02 1.664429026e+02 2.1e-11 0.92
106 3.6e-08 7.6e-03 2.2e-06 1.00e+00 1.664428179e+02 1.664428994e+02 1.9e-11 0.92
107 3.2e-08 7.6e-03 2.0e-06 9.97e-01 1.664428232e+02 1.664428966e+02 1.7e-11 0.93
108 2.9e-08 7.6e-03 1.8e-06 9.99e-01 1.664428279e+02 1.664428940e+02 1.5e-11 0.94
109 2.6e-08 7.5e-03 1.6e-06 9.96e-01 1.664428322e+02 1.664428917e+02 1.4e-11 0.95
110 2.3e-08 7.5e-03 1.4e-06 9.98e-01 1.664428360e+02 1.664428896e+02 1.3e-11 0.95
111 2.1e-08 6.8e-03 1.3e-06 1.00e+00 1.664428395e+02 1.664428877e+02 1.1e-11 0.96
112 1.9e-08 6.1e-03 1.2e-06 9.97e-01 1.664428426e+02 1.664428860e+02 1.0e-11 0.97
113 1.7e-08 5.5e-03 1.1e-06 1.00e+00 1.664428454e+02 1.664428845e+02 9.1e-12 0.98
114 1.6e-08 4.9e-03 9.5e-07 1.00e+00 1.664428480e+02 1.664428831e+02 8.2e-12 0.99
115 1.4e-08 4.4e-03 8.5e-07 1.01e+00 1.664428503e+02 1.664428818e+02 7.4e-12 0.99
116 1.3e-08 4.0e-03 7.7e-07 1.00e+00 1.664428524e+02 1.664428807e+02 6.7e-12 1.00
117 1.2e-08 4.0e-03 6.9e-07 9.96e-01 1.664428541e+02 1.664428800e+02 6.0e-12 1.01
118 1.0e-08 3.6e-03 6.2e-07 9.92e-01 1.664428558e+02 1.664428791e+02 5.4e-12 1.02
119 9.2e-09 3.2e-03 5.6e-07 1.02e+00 1.664428574e+02 1.664428781e+02 4.9e-12 1.02
120 8.3e-09 2.9e-03 5.0e-07 9.88e-01 1.664428587e+02 1.664428774e+02 4.4e-12 1.03
121 7.5e-09 2.6e-03 4.5e-07 1.02e+00 1.664428601e+02 1.664428766e+02 4.0e-12 1.04
122 6.8e-09 2.3e-03 4.1e-07 9.75e-01 1.664428611e+02 1.664428760e+02 3.6e-12 1.05
123 6.1e-09 2.1e-03 3.7e-07 1.02e+00 1.664428621e+02 1.664428755e+02 3.3e-12 1.06
124 5.5e-09 1.9e-03 3.3e-07 9.96e-01 1.664428630e+02 1.664428750e+02 3.0e-12 1.07
125 5.0e-09 1.7e-03 3.0e-07 1.00e+00 1.664428638e+02 1.664428746e+02 2.7e-12 1.07
126 4.5e-09 1.5e-03 2.7e-07 9.84e-01 1.664428645e+02 1.664428742e+02 2.4e-12 1.08
127 4.6e-08 1.5e-03 2.6e-07 9.86e-01 1.664428643e+02 1.664428750e+02 2.3e-12 1.09
128 3.6e-08 1.4e-03 2.4e-07 1.06e+00 1.664428651e+02 1.664428743e+02 2.1e-12 1.10
129 3.2e-08 1.2e-03 2.1e-07 9.94e-01 1.664428657e+02 1.664428740e+02 1.9e-12 1.10
130 2.9e-08 1.1e-03 1.9e-07 1.03e+00 1.664428663e+02 1.664428736e+02 1.8e-12 1.11
131 2.6e-08 9.9e-04 1.7e-07 9.43e-01 1.664428667e+02 1.664428733e+02 1.6e-12 1.12
132 2.3e-08 8.9e-04 1.5e-07 1.01e+00 1.664428671e+02 1.664428731e+02 1.4e-12 1.13
133 2.1e-08 8.0e-04 1.4e-07 1.02e+00 1.664428675e+02 1.664428728e+02 1.3e-12 1.13
134 1.9e-08 7.2e-04 1.3e-07 1.01e+00 1.664428678e+02 1.664428726e+02 1.2e-12 1.14
135 1.7e-08 6.5e-04 1.1e-07 9.86e-01 1.664428681e+02 1.664428724e+02 1.1e-12 1.15
136 1.5e-08 5.8e-04 1.0e-07 9.94e-01 1.664428684e+02 1.664428722e+02 9.6e-13 1.16
Optimizer terminated. Time: 1.16
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6644286838e+02 nrm: 2e+01 Viol. con: 4e-07 var: 0e+00
Dual. obj: 1.6644287224e+02 nrm: 1e+03 Viol. con: 0e+00 var: 4e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.19 seconds.
Using solver 'mosek'
Solving for 1768 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (312) of matrix 'A'.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 482
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer - threads : 8
Optimizer - solved problem : the primal
Optimizer - Constraints : 873
Optimizer - Cones : 0
Optimizer - Scalar variables : 3462 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.02 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.01
Factor - nonzeros before factor : 1.49e+04 after factor : 1.57e+05
Factor - dense dim. : 0 flops : 3.26e+07
Factor - GP saved nzs : 3.37e+04 GP saved flops : 9.34e+05
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.2e+05 0.00e+00 -1.223796803e+05 2.000000000e+00 1.0e+00 0.04
1 1.7e+03 2.2e+03 8.9e+04 -9.71e-01 -1.216476084e+05 2.618554922e+00 7.3e-01 0.05
2 8.8e+02 1.1e+03 4.7e+04 -9.59e-01 -1.193666125e+05 4.610537506e+00 3.8e-01 0.06
3 2.9e+02 3.7e+02 1.5e+04 -9.22e-01 -1.102966097e+05 2.005786766e+01 1.3e-01 0.07
4 2.9e+02 3.7e+02 1.5e+04 -7.69e-01 -1.080118792e+05 2.024242288e+03 1.3e-01 0.08
5 1.2e+02 1.5e+02 6.3e+03 -7.60e-01 -8.686643901e+04 6.264842071e+03 5.2e-02 0.09
6 2.7e+01 3.5e+01 1.5e+03 -4.47e-01 -3.361423875e+04 1.275613178e+04 1.2e-02 0.10
7 1.7e+01 2.2e+01 9.2e+02 4.78e-01 -2.409624449e+04 7.121560004e+03 7.6e-03 0.11
8 1.0e+01 1.3e+01 5.3e+02 6.63e-01 -1.491091001e+04 4.313499207e+03 4.4e-03 0.12
9 3.8e+00 5.0e+00 2.1e+02 8.17e-01 -5.882084267e+03 1.917880415e+03 1.7e-03 0.12
10 2.0e+00 2.6e+00 1.1e+02 9.49e-01 -2.856912142e+03 1.168394898e+03 8.8e-04 0.13
11 8.4e-01 1.1e+00 4.6e+01 9.87e-01 -1.134284740e+03 6.217436659e+02 3.8e-04 0.14
12 8.2e-01 1.1e+00 4.5e+01 9.52e-01 -1.122688405e+03 5.985078074e+02 3.7e-04 0.15
13 5.2e-01 6.8e-01 2.8e+01 9.70e-01 -6.636991795e+02 4.331771302e+02 2.4e-04 0.16
14 3.0e-01 4.1e-01 1.7e+01 1.00e+00 -3.097111699e+02 3.352546183e+02 1.4e-04 0.17
15 1.1e-01 1.7e-01 5.9e+00 1.00e+00 -1.482958391e+01 2.136502396e+02 5.0e-05 0.18
16 8.4e-02 1.3e-01 4.7e+00 1.02e+00 2.760730165e+01 2.071351104e+02 4.0e-05 0.19
17 4.8e-02 9.4e-02 2.7e+00 1.02e+00 8.723176146e+01 1.898083063e+02 2.3e-05 0.20
18 1.6e-02 9.0e-02 8.7e-01 1.02e+00 1.418963690e+02 1.747571509e+02 7.4e-06 0.21
19 7.2e-03 7.0e-02 4.1e-01 1.01e+00 1.546961115e+02 1.700499165e+02 3.5e-06 0.21
20 1.7e-03 1.6e-01 1.0e-01 1.01e+00 1.636916571e+02 1.675254609e+02 8.6e-07 0.22
21 1.0e-03 1.1e-01 6.3e-02 9.76e-01 1.647504813e+02 1.670947428e+02 5.3e-07 0.23
22 3.5e-04 1.2e-01 2.2e-02 9.86e-01 1.658617377e+02 1.666773466e+02 1.9e-07 0.24
23 1.6e-04 9.6e-02 1.0e-02 1.00e+00 1.661549018e+02 1.665439119e+02 9.0e-08 0.25
24 6.2e-05 9.2e-02 4.0e-03 1.01e+00 1.663208740e+02 1.664687668e+02 3.5e-08 0.26
25 3.0e-05 7.9e-02 1.9e-03 1.01e+00 1.663730748e+02 1.664449304e+02 1.7e-08 0.27
26 2.7e-05 7.3e-02 1.7e-03 1.01e+00 1.663788267e+02 1.664435430e+02 1.5e-08 0.27
27 2.4e-05 6.6e-02 1.6e-03 1.01e+00 1.663831112e+02 1.664413337e+02 1.4e-08 0.28
28 2.2e-05 6.0e-02 1.4e-03 1.01e+00 1.663870609e+02 1.664394512e+02 1.2e-08 0.29
29 2.0e-05 5.5e-02 1.3e-03 1.01e+00 1.663905952e+02 1.664377370e+02 1.1e-08 0.30
30 1.8e-05 5.0e-02 1.1e-03 1.00e+00 1.663937727e+02 1.664361929e+02 1.0e-08 0.31
31 1.6e-05 4.6e-02 1.0e-03 1.00e+00 1.663966270e+02 1.664347990e+02 9.0e-09 0.32
32 1.4e-05 4.2e-02 9.2e-04 1.00e+00 1.663991915e+02 1.664335414e+02 8.1e-09 0.32
33 1.3e-05 3.9e-02 8.3e-04 1.00e+00 1.664014960e+02 1.664324068e+02 7.3e-09 0.33
34 1.2e-05 3.6e-02 7.5e-04 1.00e+00 1.664035668e+02 1.664313834e+02 6.6e-09 0.34
35 1.0e-05 3.3e-02 6.7e-04 1.00e+00 1.664054279e+02 1.664304602e+02 5.9e-09 0.35
36 9.4e-06 3.1e-02 6.1e-04 1.00e+00 1.664071006e+02 1.664296277e+02 5.3e-09 0.35
37 8.5e-06 2.8e-02 5.5e-04 1.00e+00 1.664086041e+02 1.664288769e+02 4.8e-09 0.36
38 7.6e-06 2.6e-02 4.9e-04 1.00e+00 1.664099557e+02 1.664281999e+02 4.3e-09 0.37
39 6.9e-06 2.4e-02 4.4e-04 1.00e+00 1.664111708e+02 1.664275896e+02 3.9e-09 0.38
40 6.2e-06 2.3e-02 4.0e-04 1.00e+00 1.664122633e+02 1.664270395e+02 3.5e-09 0.39
41 5.6e-06 2.1e-02 3.6e-04 1.00e+00 1.664132456e+02 1.664265435e+02 3.1e-09 0.40
42 5.0e-06 2.0e-02 3.2e-04 1.00e+00 1.664141289e+02 1.664260966e+02 2.8e-09 0.41
43 4.5e-06 1.9e-02 2.9e-04 1.00e+00 1.664149231e+02 1.664256937e+02 2.5e-09 0.41
44 4.1e-06 1.8e-02 2.6e-04 1.00e+00 1.664156374e+02 1.664253307e+02 2.3e-09 0.42
45 3.7e-06 1.7e-02 2.4e-04 1.00e+00 1.664162797e+02 1.664250035e+02 2.1e-09 0.43
46 3.3e-06 1.6e-02 2.1e-04 1.00e+00 1.664168573e+02 1.664247086e+02 1.9e-09 0.43
47 3.0e-06 1.5e-02 1.9e-04 1.00e+00 1.664173768e+02 1.664244429e+02 1.7e-09 0.45
48 2.7e-06 1.4e-02 1.7e-04 1.00e+00 1.664178440e+02 1.664242034e+02 1.5e-09 0.45
49 2.4e-06 1.4e-02 1.5e-04 1.00e+00 1.664182643e+02 1.664239877e+02 1.4e-09 0.46
50 2.2e-06 1.3e-02 1.4e-04 1.00e+00 1.664186423e+02 1.664237934e+02 1.2e-09 0.47
51 1.9e-06 1.3e-02 1.2e-04 1.00e+00 1.664189825e+02 1.664236185e+02 1.1e-09 0.48
52 1.7e-06 1.2e-02 1.1e-04 1.00e+00 1.664192885e+02 1.664234609e+02 9.8e-10 0.49
53 1.6e-06 1.2e-02 1.0e-04 1.00e+00 1.664195638e+02 1.664233190e+02 8.9e-10 0.50
54 1.4e-06 1.1e-02 9.1e-05 1.00e+00 1.664198115e+02 1.664231912e+02 8.0e-10 0.51
55 1.3e-06 1.1e-02 8.2e-05 1.00e+00 1.664200344e+02 1.664230761e+02 7.2e-10 0.52
56 1.1e-06 1.1e-02 7.4e-05 1.00e+00 1.664202349e+02 1.664229724e+02 6.5e-10 0.52
57 1.0e-06 1.0e-02 6.6e-05 1.00e+00 1.664204153e+02 1.664228791e+02 5.8e-10 0.53
58 9.3e-07 1.0e-02 6.0e-05 1.00e+00 1.664205776e+02 1.664227951e+02 5.2e-10 0.54
59 8.4e-07 9.9e-03 5.4e-05 1.00e+00 1.664207236e+02 1.664227194e+02 4.7e-10 0.55
60 7.5e-07 9.7e-03 4.8e-05 1.00e+00 1.664208550e+02 1.664226512e+02 4.2e-10 0.55
61 6.8e-07 9.5e-03 4.4e-05 1.00e+00 1.664209732e+02 1.664225898e+02 3.8e-10 0.56
62 6.1e-07 9.3e-03 3.9e-05 1.00e+00 1.664210796e+02 1.664225345e+02 3.4e-10 0.57
63 5.5e-07 9.2e-03 3.5e-05 1.00e+00 1.664211752e+02 1.664224847e+02 3.1e-10 0.58
64 4.9e-07 9.0e-03 3.2e-05 1.00e+00 1.664212613e+02 1.664224398e+02 2.8e-10 0.58
65 4.4e-07 8.9e-03 2.9e-05 1.00e+00 1.664213387e+02 1.664223994e+02 2.5e-10 0.59
66 4.0e-07 8.8e-03 2.6e-05 1.00e+00 1.664214083e+02 1.664223629e+02 2.3e-10 0.61
67 3.6e-07 8.7e-03 2.3e-05 1.00e+00 1.664214710e+02 1.664223301e+02 2.0e-10 0.62
68 3.2e-07 8.6e-03 2.1e-05 1.00e+00 1.664215273e+02 1.664223006e+02 1.8e-10 0.63
69 2.9e-07 8.5e-03 1.9e-05 1.00e+00 1.664215780e+02 1.664222740e+02 1.6e-10 0.64
70 2.6e-07 8.4e-03 1.7e-05 1.00e+00 1.664216237e+02 1.664222500e+02 1.5e-10 0.65
71 2.4e-07 8.4e-03 1.5e-05 1.00e+00 1.664216647e+02 1.664222284e+02 1.3e-10 0.66
72 2.1e-07 8.3e-03 1.4e-05 1.00e+00 1.664217017e+02 1.664222090e+02 1.2e-10 0.67
73 1.9e-07 8.2e-03 1.2e-05 1.00e+00 1.664217349e+02 1.664221915e+02 1.1e-10 0.68
74 1.7e-07 8.2e-03 1.1e-05 1.00e+00 1.664217648e+02 1.664221758e+02 9.7e-11 0.69
75 1.5e-07 8.1e-03 1.0e-05 1.00e+00 1.664217917e+02 1.664221616e+02 8.7e-11 0.70
76 1.4e-07 8.1e-03 9.0e-06 9.99e-01 1.664218160e+02 1.664221488e+02 7.9e-11 0.71
77 1.3e-07 8.0e-03 8.1e-06 1.00e+00 1.664218378e+02 1.664221373e+02 7.1e-11 0.72
78 1.1e-07 8.0e-03 7.3e-06 1.00e+00 1.664218574e+02 1.664221270e+02 6.4e-11 0.73
79 1.0e-07 8.0e-03 6.5e-06 1.00e+00 1.664218750e+02 1.664221177e+02 5.7e-11 0.74
80 9.1e-08 7.9e-03 5.9e-06 1.00e+00 1.664218909e+02 1.664221093e+02 5.2e-11 0.75
81 8.2e-08 7.9e-03 5.3e-06 1.00e+00 1.664219052e+02 1.664221018e+02 4.6e-11 0.76
82 7.4e-08 7.9e-03 4.8e-06 9.99e-01 1.664219181e+02 1.664220950e+02 4.2e-11 0.77
83 6.7e-08 7.9e-03 4.3e-06 1.00e+00 1.664219297e+02 1.664220889e+02 3.8e-11 0.78
84 6.0e-08 7.8e-03 3.9e-06 9.99e-01 1.664219401e+02 1.664220834e+02 3.4e-11 0.79
85 5.4e-08 7.8e-03 3.5e-06 1.00e+00 1.664219495e+02 1.664220784e+02 3.0e-11 0.80
86 4.9e-08 7.8e-03 3.1e-06 9.99e-01 1.664219579e+02 1.664220740e+02 2.7e-11 0.81
87 4.4e-08 7.8e-03 2.8e-06 9.99e-01 1.664219655e+02 1.664220700e+02 2.5e-11 0.82
88 3.9e-08 7.7e-03 2.5e-06 1.00e+00 1.664219723e+02 1.664220664e+02 2.2e-11 0.83
89 3.5e-08 7.7e-03 2.3e-06 1.00e+00 1.664219785e+02 1.664220631e+02 2.0e-11 0.84
90 3.2e-08 7.7e-03 2.1e-06 1.00e+00 1.664219840e+02 1.664220602e+02 1.8e-11 0.85
91 2.9e-08 7.7e-03 1.8e-06 1.00e+00 1.664219890e+02 1.664220576e+02 1.6e-11 0.86
92 2.6e-08 7.7e-03 1.7e-06 1.00e+00 1.664219935e+02 1.664220552e+02 1.5e-11 0.88
93 2.3e-08 7.7e-03 1.5e-06 9.99e-01 1.664219975e+02 1.664220531e+02 1.3e-11 0.88
94 2.1e-08 7.6e-03 1.3e-06 9.98e-01 1.664220012e+02 1.664220511e+02 1.2e-11 0.89
95 1.9e-08 7.6e-03 1.2e-06 1.00e+00 1.664220044e+02 1.664220494e+02 1.1e-11 0.90
96 1.7e-08 7.6e-03 1.1e-06 1.00e+00 1.664220074e+02 1.664220479e+02 9.6e-12 0.92
97 1.5e-08 7.6e-03 9.8e-07 1.00e+00 1.664220100e+02 1.664220465e+02 8.6e-12 0.93
98 1.4e-08 7.6e-03 8.8e-07 1.00e+00 1.664220124e+02 1.664220452e+02 7.8e-12 0.93
99 1.3e-08 6.8e-03 8.0e-07 1.01e+00 1.664220146e+02 1.664220441e+02 7.0e-12 0.94
100 1.1e-08 6.1e-03 7.2e-07 1.00e+00 1.664220165e+02 1.664220430e+02 6.3e-12 0.96
101 1.0e-08 5.5e-03 6.4e-07 9.99e-01 1.664220183e+02 1.664220421e+02 5.7e-12 0.97
102 9.1e-09 5.0e-03 5.8e-07 9.95e-01 1.664220198e+02 1.664220413e+02 5.1e-12 0.98
103 8.2e-09 4.5e-03 5.2e-07 1.00e+00 1.664220212e+02 1.664220406e+02 4.6e-12 0.99
104 7.4e-09 4.0e-03 4.7e-07 1.00e+00 1.664220225e+02 1.664220399e+02 4.1e-12 1.00
105 1.5e-08 3.7e-03 4.2e-07 9.00e-01 1.664220234e+02 1.664220402e+02 3.7e-12 1.01
106 1.7e-08 3.4e-03 3.8e-07 9.02e-01 1.664220242e+02 1.664220413e+02 3.3e-12 1.02
107 1.3e-08 3.0e-03 3.4e-07 1.00e+00 1.664220252e+02 1.664220407e+02 3.0e-12 1.03
108 1.2e-08 2.7e-03 3.1e-07 1.02e+00 1.664220261e+02 1.664220399e+02 2.7e-12 1.04
109 1.1e-08 2.5e-03 2.8e-07 1.00e+00 1.664220269e+02 1.664220393e+02 2.5e-12 1.05
110 1.0e-08 2.2e-03 2.5e-07 1.01e+00 1.664220276e+02 1.664220388e+02 2.2e-12 1.06
111 1.1e-08 2.0e-03 2.2e-07 8.59e-01 1.664220282e+02 1.664220388e+02 2.0e-12 1.08
112 9.5e-09 1.8e-03 2.0e-07 1.00e+00 1.664220288e+02 1.664220383e+02 1.8e-12 1.09
113 8.6e-09 1.6e-03 1.8e-07 1.00e+00 1.664220293e+02 1.664220379e+02 1.6e-12 1.10
114 7.8e-09 1.5e-03 1.6e-07 1.00e+00 1.664220298e+02 1.664220375e+02 1.5e-12 1.11
115 7.0e-09 1.3e-03 1.5e-07 9.96e-01 1.664220302e+02 1.664220371e+02 1.3e-12 1.12
116 6.3e-09 1.2e-03 1.3e-07 1.00e+00 1.664220305e+02 1.664220368e+02 1.2e-12 1.13
117 5.7e-09 1.1e-03 1.2e-07 9.97e-01 1.664220309e+02 1.664220365e+02 1.1e-12 1.15
118 5.2e-09 9.7e-04 1.1e-07 1.00e+00 1.664220312e+02 1.664220363e+02 9.7e-13 1.16
Optimizer terminated. Time: 1.16
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6642203117e+02 nrm: 2e+01 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6642203625e+02 nrm: 1e+03 Viol. con: 0e+00 var: 9e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.19 seconds.
Using solver 'mosek'
Solving for 1768 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (313) of matrix 'A'.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 482
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.02
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer - threads : 8
Optimizer - solved problem : the primal
Optimizer - Constraints : 873
Optimizer - Cones : 0
Optimizer - Scalar variables : 3462 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.49e+04 after factor : 1.57e+05
Factor - dense dim. : 0 flops : 3.26e+07
Factor - GP saved nzs : 3.37e+04 GP saved flops : 9.34e+05
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.2e+05 0.00e+00 -1.223788450e+05 2.000000000e+00 1.0e+00 0.05
1 1.7e+03 2.2e+03 8.9e+04 -9.71e-01 -1.216464201e+05 2.618823612e+00 7.3e-01 0.06
2 8.8e+02 1.1e+03 4.7e+04 -9.59e-01 -1.193651315e+05 4.610867248e+00 3.8e-01 0.07
3 2.9e+02 3.7e+02 1.5e+04 -9.22e-01 -1.102819975e+05 2.006632579e+01 1.3e-01 0.08
4 2.9e+02 3.7e+02 1.5e+04 -7.69e-01 -1.080008064e+05 2.022086612e+03 1.3e-01 0.09
5 1.2e+02 1.5e+02 6.3e+03 -7.59e-01 -8.679764001e+04 6.271578903e+03 5.2e-02 0.10
6 2.7e+01 3.5e+01 1.4e+03 -4.46e-01 -3.331156973e+04 1.276898522e+04 1.2e-02 0.11
7 1.7e+01 2.2e+01 9.1e+02 4.84e-01 -2.390955460e+04 7.088701501e+03 7.6e-03 0.12
8 9.9e+00 1.3e+01 5.3e+02 6.66e-01 -1.478698502e+04 4.288484843e+03 4.4e-03 0.14
9 3.8e+00 4.9e+00 2.0e+02 8.19e-01 -5.783602810e+03 1.894120710e+03 1.7e-03 0.15
10 1.9e+00 2.5e+00 1.0e+02 9.50e-01 -2.752723046e+03 1.147878748e+03 8.5e-04 0.16
11 8.6e-01 1.1e+00 4.7e+01 9.88e-01 -1.163553864e+03 6.311053338e+02 3.9e-04 0.17
12 8.3e-01 1.1e+00 4.5e+01 9.53e-01 -1.146181136e+03 6.056748478e+02 3.8e-04 0.18
13 5.2e-01 6.8e-01 2.8e+01 9.71e-01 -6.643878606e+02 4.338683157e+02 2.4e-04 0.20
14 3.0e-01 4.0e-01 1.6e+01 1.00e+00 -3.001695787e+02 3.312568167e+02 1.4e-04 0.21
15 1.0e-01 1.6e-01 5.8e+00 1.00e+00 -1.111857075e+01 2.124409044e+02 4.9e-05 0.22
16 8.3e-02 1.3e-01 4.6e+00 1.02e+00 2.954416115e+01 2.070652180e+02 3.9e-05 0.23
17 4.6e-02 9.2e-02 2.6e+00 1.02e+00 9.054315273e+01 1.887141196e+02 2.2e-05 0.24
18 1.2e-02 1.7e-01 6.8e-01 1.02e+00 1.474804520e+02 1.732840791e+02 5.8e-06 0.25
19 4.0e-03 1.9e-01 2.3e-01 1.01e+00 1.599979590e+02 1.685737685e+02 1.9e-06 0.26
20 1.6e-03 1.1e-01 9.4e-02 1.01e+00 1.638684180e+02 1.673751081e+02 8.0e-07 0.27
21 6.4e-04 9.4e-02 3.8e-02 1.01e+00 1.653872518e+02 1.668180858e+02 3.3e-07 0.29
22 2.4e-04 9.6e-02 1.4e-02 1.01e+00 1.660337135e+02 1.665706256e+02 1.3e-07 0.30
23 9.1e-05 9.3e-02 5.6e-03 1.01e+00 1.662643767e+02 1.664734884e+02 5.0e-08 0.31
24 8.2e-05 8.5e-02 5.1e-03 1.01e+00 1.662801856e+02 1.664683641e+02 4.5e-08 0.32
25 7.4e-05 7.7e-02 4.6e-03 1.01e+00 1.662931282e+02 1.664624192e+02 4.0e-08 0.33
26 6.7e-05 7.0e-02 4.1e-03 1.01e+00 1.663048697e+02 1.664571799e+02 3.6e-08 0.34
27 6.0e-05 6.4e-02 3.7e-03 1.01e+00 1.663153795e+02 1.664524151e+02 3.3e-08 0.35
28 5.4e-05 5.8e-02 3.3e-03 1.01e+00 1.663248144e+02 1.664481107e+02 2.9e-08 0.36
29 4.8e-05 5.3e-02 3.0e-03 1.01e+00 1.663332809e+02 1.664442181e+02 2.6e-08 0.37
30 4.4e-05 4.9e-02 2.7e-03 1.01e+00 1.663408801e+02 1.664406994e+02 2.4e-08 0.38
31 3.9e-05 4.5e-02 2.4e-03 1.01e+00 1.663477017e+02 1.664375192e+02 2.1e-08 0.40
32 3.5e-05 4.1e-02 2.2e-03 1.01e+00 1.663538259e+02 1.664346455e+02 1.9e-08 0.40
33 3.2e-05 3.8e-02 2.0e-03 1.01e+00 1.663593248e+02 1.664320492e+02 1.7e-08 0.41
34 2.9e-05 3.5e-02 1.8e-03 1.00e+00 1.663642629e+02 1.664297041e+02 1.6e-08 0.42
35 2.6e-05 3.2e-02 1.6e-03 1.00e+00 1.663686978e+02 1.664275861e+02 1.4e-08 0.44
36 2.3e-05 3.0e-02 1.4e-03 1.00e+00 1.663726813e+02 1.664256736e+02 1.3e-08 0.45
37 2.1e-05 2.8e-02 1.3e-03 1.00e+00 1.663762595e+02 1.664239469e+02 1.1e-08 0.46
38 1.9e-05 2.6e-02 1.2e-03 1.00e+00 1.663794741e+02 1.664223881e+02 1.0e-08 0.47
39 1.7e-05 2.4e-02 1.0e-03 1.00e+00 1.663823623e+02 1.664209811e+02 9.2e-09 0.48
40 1.5e-05 2.2e-02 9.4e-04 1.00e+00 1.663849573e+02 1.664197112e+02 8.3e-09 0.49
41 1.4e-05 2.1e-02 8.5e-04 1.00e+00 1.663872893e+02 1.664185653e+02 7.5e-09 0.51
42 1.2e-05 2.0e-02 7.6e-04 1.00e+00 1.663893850e+02 1.664175315e+02 6.7e-09 0.52
43 1.1e-05 1.8e-02 6.9e-04 1.00e+00 1.663912685e+02 1.664165987e+02 6.0e-09 0.53
44 1.0e-05 1.7e-02 6.2e-04 1.00e+00 1.663929614e+02 1.664157574e+02 5.4e-09 0.54
45 9.0e-06 1.7e-02 5.6e-04 1.00e+00 1.663944832e+02 1.664149986e+02 4.9e-09 0.55
46 8.1e-06 1.6e-02 5.0e-04 1.00e+00 1.663958513e+02 1.664143143e+02 4.4e-09 0.56
47 7.3e-06 1.5e-02 4.5e-04 1.00e+00 1.663970812e+02 1.664136972e+02 4.0e-09 0.57
48 6.5e-06 1.4e-02 4.1e-04 1.00e+00 1.663981870e+02 1.664131409e+02 3.6e-09 0.58
49 5.9e-06 1.4e-02 3.7e-04 1.00e+00 1.663991812e+02 1.664126394e+02 3.2e-09 0.59
50 5.3e-06 1.3e-02 3.3e-04 1.00e+00 1.664000753e+02 1.664121873e+02 2.9e-09 0.60
51 4.8e-06 1.3e-02 3.0e-04 1.00e+00 1.664008792e+02 1.664117798e+02 2.6e-09 0.61
52 4.3e-06 1.2e-02 2.7e-04 1.00e+00 1.664016021e+02 1.664114125e+02 2.3e-09 0.62
53 3.9e-06 1.2e-02 2.4e-04 1.00e+00 1.664022522e+02 1.664110814e+02 2.1e-09 0.63
54 3.5e-06 1.1e-02 2.2e-04 1.00e+00 1.664028368e+02 1.664107829e+02 1.9e-09 0.64
55 3.1e-06 1.1e-02 1.9e-04 1.00e+00 1.664033625e+02 1.664105139e+02 1.7e-09 0.65
56 2.8e-06 1.1e-02 1.7e-04 1.00e+00 1.664038353e+02 1.664102715e+02 1.5e-09 0.67
57 2.5e-06 1.1e-02 1.6e-04 1.00e+00 1.664042606e+02 1.664100531e+02 1.4e-09 0.68
58 2.3e-06 1.0e-02 1.4e-04 1.00e+00 1.664046431e+02 1.664098564e+02 1.2e-09 0.69
59 2.1e-06 1.0e-02 1.3e-04 1.00e+00 1.664049873e+02 1.664096792e+02 1.1e-09 0.71
60 1.8e-06 9.8e-03 1.1e-04 1.00e+00 1.664052969e+02 1.664095196e+02 1.0e-09 0.72
61 1.7e-06 9.7e-03 1.0e-04 1.00e+00 1.664055754e+02 1.664093758e+02 9.1e-10 0.73
62 1.5e-06 9.5e-03 9.3e-05 1.00e+00 1.664058260e+02 1.664092464e+02 8.2e-10 0.74
63 1.3e-06 9.3e-03 8.4e-05 1.00e+00 1.664060515e+02 1.664091298e+02 7.4e-10 0.75
64 1.2e-06 9.2e-03 7.5e-05 1.00e+00 1.664062543e+02 1.664090248e+02 6.6e-10 0.76
65 1.1e-06 9.1e-03 6.8e-05 1.00e+00 1.664064368e+02 1.664089302e+02 6.0e-10 0.77
66 9.8e-07 9.0e-03 6.1e-05 1.00e+00 1.664066010e+02 1.664088451e+02 5.4e-10 0.78
67 8.8e-07 8.9e-03 5.5e-05 1.00e+00 1.664067487e+02 1.664087684e+02 4.8e-10 0.80
68 8.0e-07 8.8e-03 4.9e-05 1.00e+00 1.664068816e+02 1.664086993e+02 4.3e-10 0.80
69 7.2e-07 8.7e-03 4.4e-05 1.00e+00 1.664070012e+02 1.664086371e+02 3.9e-10 0.81
70 6.4e-07 8.6e-03 4.0e-05 1.00e+00 1.664071087e+02 1.664085811e+02 3.5e-10 0.82
71 5.8e-07 8.5e-03 3.6e-05 1.00e+00 1.664072054e+02 1.664085306e+02 3.2e-10 0.83
72 5.2e-07 8.5e-03 3.2e-05 1.00e+00 1.664072925e+02 1.664084851e+02 2.9e-10 0.85
73 4.7e-07 8.4e-03 2.9e-05 1.00e+00 1.664073707e+02 1.664084441e+02 2.6e-10 0.85
74 4.2e-07 8.3e-03 2.6e-05 1.00e+00 1.664074411e+02 1.664084072e+02 2.3e-10 0.86
75 3.8e-07 8.3e-03 2.4e-05 1.00e+00 1.664075045e+02 1.664083739e+02 2.1e-10 0.87
76 3.4e-07 8.2e-03 2.1e-05 1.00e+00 1.664075614e+02 1.664083439e+02 1.9e-10 0.88
77 3.1e-07 8.2e-03 1.9e-05 1.00e+00 1.664076127e+02 1.664083169e+02 1.7e-10 0.89
78 2.8e-07 8.1e-03 1.7e-05 1.00e+00 1.664076588e+02 1.664082926e+02 1.5e-10 0.90
79 2.5e-07 8.1e-03 1.5e-05 1.00e+00 1.664077003e+02 1.664082707e+02 1.4e-10 0.91
80 2.2e-07 8.1e-03 1.4e-05 1.00e+00 1.664077376e+02 1.664082510e+02 1.2e-10 0.92
81 2.0e-07 8.0e-03 1.3e-05 1.00e+00 1.664077712e+02 1.664082333e+02 1.1e-10 0.93
82 1.8e-07 8.0e-03 1.1e-05 1.00e+00 1.664078015e+02 1.664082173e+02 9.9e-11 0.93
83 1.6e-07 8.0e-03 1.0e-05 1.00e+00 1.664078287e+02 1.664082029e+02 9.0e-11 0.95
84 1.5e-07 8.0e-03 9.2e-06 1.00e+00 1.664078531e+02 1.664081899e+02 8.1e-11 0.95
85 1.3e-07 7.9e-03 8.2e-06 1.00e+00 1.664078752e+02 1.664081783e+02 7.3e-11 0.96
86 1.2e-07 7.9e-03 7.4e-06 1.00e+00 1.664078950e+02 1.664081678e+02 6.5e-11 0.97
87 1.1e-07 7.9e-03 6.7e-06 1.00e+00 1.664079128e+02 1.664081583e+02 5.9e-11 0.98
88 9.7e-08 7.9e-03 6.0e-06 1.00e+00 1.664079289e+02 1.664081498e+02 5.3e-11 0.99
89 8.7e-08 7.8e-03 5.4e-06 1.00e+00 1.664079433e+02 1.664081422e+02 4.8e-11 1.00
90 7.8e-08 7.8e-03 4.9e-06 1.00e+00 1.664079563e+02 1.664081353e+02 4.3e-11 1.01
91 7.1e-08 7.8e-03 4.4e-06 1.00e+00 1.664079680e+02 1.664081291e+02 3.9e-11 1.01
92 6.4e-08 7.8e-03 3.9e-06 1.00e+00 1.664079785e+02 1.664081235e+02 3.5e-11 1.02
93 5.7e-08 7.8e-03 3.5e-06 1.00e+00 1.664079880e+02 1.664081185e+02 3.1e-11 1.03
94 5.1e-08 7.8e-03 3.2e-06 1.00e+00 1.664079965e+02 1.664081140e+02 2.8e-11 1.04
95 4.6e-08 7.8e-03 2.9e-06 1.00e+00 1.664080042e+02 1.664081099e+02 2.5e-11 1.05
96 4.2e-08 7.7e-03 2.6e-06 1.00e+00 1.664080111e+02 1.664081062e+02 2.3e-11 1.06
97 3.7e-08 7.7e-03 2.3e-06 1.00e+00 1.664080173e+02 1.664081029e+02 2.0e-11 1.07
98 3.4e-08 7.7e-03 2.1e-06 9.99e-01 1.664080229e+02 1.664080999e+02 1.8e-11 1.07
99 3.0e-08 7.7e-03 1.9e-06 1.00e+00 1.664080279e+02 1.664080973e+02 1.7e-11 1.08
100 2.7e-08 7.7e-03 1.7e-06 9.99e-01 1.664080325e+02 1.664080949e+02 1.5e-11 1.10
101 2.5e-08 7.7e-03 1.5e-06 9.99e-01 1.664080365e+02 1.664080927e+02 1.3e-11 1.11
102 2.2e-08 7.6e-03 1.4e-06 9.98e-01 1.664080402e+02 1.664080908e+02 1.2e-11 1.11
103 2.0e-08 7.6e-03 1.2e-06 1.00e+00 1.664080435e+02 1.664080891e+02 1.1e-11 1.12
104 1.8e-08 7.6e-03 1.1e-06 9.98e-01 1.664080465e+02 1.664080875e+02 9.8e-12 1.13
105 1.6e-08 7.6e-03 1.0e-06 9.98e-01 1.664080491e+02 1.664080861e+02 8.8e-12 1.14
106 1.5e-08 6.8e-03 9.0e-07 1.00e+00 1.664080515e+02 1.664080848e+02 7.9e-12 1.15
107 1.3e-08 6.2e-03 8.1e-07 9.99e-01 1.664080537e+02 1.664080836e+02 7.1e-12 1.15
108 1.2e-08 5.5e-03 7.3e-07 9.97e-01 1.664080557e+02 1.664080826e+02 6.4e-12 1.16
109 1.1e-08 5.0e-03 6.6e-07 9.97e-01 1.664080574e+02 1.664080816e+02 5.8e-12 1.17
110 9.6e-09 4.5e-03 5.9e-07 1.00e+00 1.664080590e+02 1.664080808e+02 5.2e-12 1.18
111 8.6e-09 4.0e-03 5.3e-07 1.01e+00 1.664080605e+02 1.664080800e+02 4.7e-12 1.19
112 7.7e-09 3.6e-03 4.8e-07 1.01e+00 1.664080618e+02 1.664080793e+02 4.3e-12 1.20
113 7.0e-09 3.3e-03 4.3e-07 1.00e+00 1.664080629e+02 1.664080787e+02 3.8e-12 1.21
114 6.3e-09 2.9e-03 3.9e-07 1.01e+00 1.664080640e+02 1.664080781e+02 3.5e-12 1.22
115 5.7e-09 2.6e-03 3.5e-07 9.94e-01 1.664080649e+02 1.664080776e+02 3.1e-12 1.23
116 5.1e-09 2.4e-03 3.1e-07 9.84e-01 1.664080657e+02 1.664080772e+02 2.8e-12 1.25
117 2.1e-08 2.4e-03 3.1e-07 -3.26e-01 1.664080664e+02 1.664080752e+02 2.6e-12 1.26
118 2.1e-08 2.1e-03 2.8e-07 1.02e+00 1.664080676e+02 1.664080744e+02 2.2e-12 1.27
119 1.8e-08 2.0e-03 2.5e-07 9.97e-01 1.664080680e+02 1.664080743e+02 2.0e-12 1.28
120 1.7e-08 1.8e-03 2.3e-07 9.92e-01 1.664080686e+02 1.664080742e+02 1.8e-12 1.29
121 1.5e-08 1.7e-03 2.1e-07 1.03e+00 1.664080691e+02 1.664080741e+02 1.6e-12 1.29
122 1.3e-08 1.5e-03 1.9e-07 1.02e+00 1.664080696e+02 1.664080740e+02 1.5e-12 1.30
123 1.2e-08 1.3e-03 1.7e-07 1.04e+00 1.664080700e+02 1.664080739e+02 1.3e-12 1.31
124 1.1e-08 1.2e-03 1.5e-07 1.01e+00 1.664080703e+02 1.664080738e+02 1.2e-12 1.32
125 9.8e-09 1.1e-03 1.4e-07 9.98e-01 1.664080706e+02 1.664080737e+02 1.1e-12 1.33
126 8.9e-09 9.8e-04 1.2e-07 9.96e-01 1.664080709e+02 1.664080737e+02 9.8e-13 1.34
Optimizer terminated. Time: 1.34
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 1.6640807086e+02 nrm: 2e+01 Viol. con: 1e-07 var: 0e+00
Dual. obj: 1.6640807369e+02 nrm: 1e+03 Viol. con: 0e+00 var: 4e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.38 seconds.
Solving took 9 GP solves and 18.5 seconds.
Solves with these variables bounded:
value near lower bound: Mission.CruiseAlt
value near upper bound: Mission.Aircraft.HorizontalTail.WingBox.M_{r_{out}}, Mission.Aircraft.Engine.Thrust.\alpha_{max}, Mission.Aircraft.Wing.WingNoStruct.A_{tri}, Mission.TotalTime, Mission.Aircraft.LandingGear.d_{nacelle}, Mission.T_{t_{4.1_{max-Cruise}}}
Checking for relaxed constants...
Solution check warning: Primal solution computed cost did not match solver-returned cost: 1.4957403142127757e+110 vs 1.49570493199e+110
GP iteration 0 has relaxed constants
Cost
----
1.496e+110
Free Variables
--------------
| Mission.Aircraft.Engine.Turbine.Relax
C_{p_{t2}} : 2.251 Cp Value for Combustion Products in LP Turbine
| Mission.Aircraft.Fuselage.Relax
l_{nose} : 1.042 Nose length
n_{pass} : [ 2.86 ] Number of passengers
| Mission.Aircraft.Relax
f_{L_{total/wing}} : 1.656 Total lift as a percentage of wing lift
| Mission.Aircraft.Wing.WingNoStruct.Relax
\tan(\Lambda) : 1.133 Tangent of quarter-chord sweep angle
| Mission.FlightState.Atmosphere.Relax
L_{atm} : [ 1.77 1 1 1 1 ] Temperature lapse rate
T_{sl} : [ 1 1 1.25 1 1 ] Temperature at sea level
| Mission.Relax
R_{req} : 2.362 Required Cruise Range
Solution check warning: Primal solution computed cost did not match solver-returned cost: 7.485942833952247e+74 vs 7.48576841516e+74
GP iteration 1 has relaxed constants
Cost
----
7.486e+74
Free Variables
--------------
| Mission.Aircraft.Engine.Combustor.Relax
hold_{4a} : 1.093 1+(gamma-1)/2 * M_4a**2
| Mission.Aircraft.Fuselage.Relax
n_{pass} : [ 1.03 ] Number of passengers
| Mission.Aircraft.LandingGear.Relax
h_{hold} : 1.006 Hold height
WEIGHT DIFFERENCES
Total Fuel Weight Percent Diff: [-92.94682601]
Total Aircraft Weight Percent Diff: [-21.48053826]
Engine Weight Percent Diff: -56.27816263501683
Fuselage Weight Percent Diff: -0.8697283781658797
Payload Weight Percent Diff: [-0.0400356]
VT Weight Percent Diff: -8.607712900393501
HT Weight Percent Diff: -93.23330431885311
Wing Weight Percent Diff: 8.267573259901017
WING DIFFERENCES
Wing Span Percent Diff: -0.029994358510184876
Wing Area Percent Diff: 32.89970105408197
HORIZONTAL TAIL DIFFERENCES
HT Area Percent Diff: 40.48862631668246
VERTICAL TAIL DIFFERENCES
VT Span Percent Diff: -11.02232031308826
VT Area Percent Diff: -60.38681772051953
CRUISE SEGMENT 1 DRAG DIFFERENCES
Overall Cd Percent Diff: [-18.54721004]
L/D Percent Diff: [24.01023756]
Nacelle Cd Percent Diff: [-94.27640786]
HT Cd Percent Diff: [-80.7694112] dimensionless
Fuselage Cd Percent Diff: [108.78752887]
VT Cd Percent Diff: [-58.00288783] dimensionless
Wing Cd percent Diff: [-14.229156]
Induced Drag Cd Percent Diff: [1.21939606]
CRUISE SEGMENT 1 TSFC DIFFERENCES
Initial Cruise TSFC Percent Diff: [-90.57036149]
FUSELAGE DIFFERENCES
Weight of HB material: -38.360425524416385
Weight of VB material: 87.8200230270085
Fan Propulsive Efficiency in Cruise Segment 1
---------------------
[0.71260522]
Mission1
========
Cost
----
W_{f_{total}}[:].sum()
Constraints
-----------
W_{buoy}[:] >= \rho_{cabin}[:]*9.81*V_{cabin}
PRFC[:] = W_{f_{primary}}[:]/9.81*h_{f}/(R_{req}*W_{payload}[:])
x_{CG}[:]*W_{avg}[:] >= x_{misc}*W_{misc} + x_{CG_{lg}}*W_{lg} + 0.5*(W_{fuse} + W_{payload}[:])*l_{fuse} + W_{ht}*x_{CG_{ht}} + W_{vt}*x_{CG_{vt}} + n_{eng}*W_{engsys}*x_{eng} + W_{wing}*(x_{wing} + \Delta x_{AC_{wing}}) + (F_{fuel}[:] + f_{fuel_{res}})*W_{f_{primary}}[:]*(x_{wing} + \Delta x_{AC_{wing}}*F_{fuel}[:])
x_{CG}[3] <= \Delta x_n + x_n
\Delta x_m + x_{CG}[3] >= x_m
\tan(\phi)*(z_{CG} + l_m) + x_{CG}[3] <= x_m
C_{D_{fuse}}[:] = 0.018081
M_{fuseD} = 0.72
W_{start}[0] = W_{total}[:]
W_{start}[:] >= W_{end}[:] + W_{burn}[:]
W_{start}[1:] = W_{end}[:4]
W_{dry}[:] + W_{payload}[:] + f_{fuel_{res}}*W_{f_{primary}}[:] <= W_{end}[-1]
W_{f_{climb}}[:] >= 0 + W_{burn}[:3][0] + W_{burn}[:3][1] + W_{burn}[:3][2]
W_{f_{cruise}}[:] >= 0 + W_{burn}[3:][0] + W_{burn}[3:][1]
hft[2] >= CruiseAlt
hft[1:5] = hft[:4] + dhft[1:5]
hft[0] = dhft[0]
dhft[1:3] = dhft[:2]
RC[0] >= 2.5e+03
RC[:3] >= RC_{min}[:3]
\theta[2] >= 0.015
hft[2] >= MinCruiseAlt
n_{eng}*F[:] >= D[:] + W_{avg}[:]*\theta[:]
R_{segment}[3:4] = R_{segment}[4:5]
M[3:5] >= M_{min}
0 + R_{segment}[0] + R_{segment}[1] + R_{segment}[2] + R_{segment}[3] + R_{segment}[4] >= R_{req}
Fsafetyfac*F[0] = T_e
W_{burn}[:] = n_{eng}*TSFC[:]*thr[:]*F[:]
V_2[:] = M_2[:]*a[:]
\alpha_{max,w}[:3] = 0.18
\alpha_{max,w}[3:] = 0.1
0 + thr[0] + thr[1] + thr[2] + thr[3] + thr[4] <= TotalTime
0 + thr[:3][0] + thr[:3][1] + thr[:3][2] <= ClimbTime
ClimbTime <= MaxClimbTime
T_{t_{4.1}}[3:] <= T_{t_{4.1_{max-Cruise}}}
F_{fuel}[0] >= (0 + W_{burn}[1:][0] + W_{burn}[1:][1] + W_{burn}[1:][2] + W_{burn}[1:][3] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[1] >= (0 + W_{burn}[2:][0] + W_{burn}[2:][1] + W_{burn}[2:][2] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[2] >= (0 + W_{burn}[3:][0] + W_{burn}[3:][1] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[3] >= (0 + W_{burn}[4:][0] + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
F_{fuel}[4] >= (0 + 1e-07*W_{f_{primary}}[:])/W_{f_{primary}}[:]
F_{fuel}[:] <= 1.0000001
OPR[:] <= OPR_{max}
Aircraft
Fuselage
W_{lugg}[:] >= f_{lugg,2}*n_{pass}[:]*2*W_{checked} + f_{lugg,1}*n_{pass}[:]*W_{checked} + W_{carry on}
W_{pass}[:] >= n_{pass}[:]*W_{avg. pass}
W_{payload}[:] >= W_{pass}[:] + W_{lugg}[:] + W_{cargo}
W_{payload}[:] >= n_{pass}[:]*W_{avg. pass_{total}}
W_{payload}[:] <= W_{payload_{max}}
n_{pass}[:] <= n_{seat}
n_{rows} = n_{seat}/SPR
l_{shell} = n_{rows}*p_s
\theta_{db} = w_{db}/R_{fuse}
R_{fuse}*(1 - 0.5*\theta_{db}^2) <= h_{db}
A_{db} >= (2*h_{db} + \Delta R_{fuse})*t_{db}
(PI + 2*\theta_{db} + 2*\theta_{db}*(1 - \theta_{db}^2/2))*R_{fuse}^2 + 2*\Delta R_{fuse}*R_{fuse} <= A_{fuse}
A_{skin} >= (2PI + 4*\theta_{db})*R_{fuse}*t_{skin} + 2*\Delta R_{fuse}*t_{skin}
w_{floor} = w_{fuse}
R_{fuse} + w_{db} >= w_{fuse}
h_{fuse} = R_{fuse} + 0.5*\Delta R_{fuse}
t_{skin}*(1 + r_E*f_{string}*\rho_{skin}/\rho_{bend}) >= t_{shell}
S_{nose} >= (2PI + 4*\theta_{db})*R_{fuse}^2
S_{bulk} >= (2PI + 4*\theta_{db})*R_{fuse}^2
l_{fuse} = l_{nose} + l_{shell} + l_{cone}
l_{cone} = R_{fuse}/\lambda_{cone}
x_{shell1} = l_{nose}
x_{shell2} >= l_{nose} + l_{shell}
t_{skin} = \Delta P_{over}*R_{fuse}/\sigma_{skin}
t_{db} = 2*\Delta P_{over}*w_{db}/\sigma_{skin}
\sigma_x = \Delta P_{over}*R_{fuse}/(2*t_{shell})
\sigma_{\theta} = \Delta P_{over}*R_{fuse}/t_{skin}
l_{floor} >= l_{shell} + 2*R_{fuse}
P_{floor} >= N_{land}*(W_{payload_{max}} + W_{seat})
A_{floor} >= 2*M_{floor}/(\sigma_{floor}*h_{floor}) + 1.5*S_{floor}/\tau_{floor}
V_{floor} = 2*w_{floor}*A_{floor}
W_{floor} >= \rho_{floor}*g*V_{floor} + 2*w_{floor}*l_{floor}*W''_{floor}
\tau_{cone} = \sigma_{skin}
W_{cone} >= \rho_{cone}*g*V_{cone}*(1 + f_{string} + f_{frame})
x_{tail} >= l_{nose} + l_{shell} + 0.5*l_{cone}
-2*R_{fuse}^2*\Delta R_{fuse}*\theta_{db}^2*t_{shell} + 1.57*R_{fuse}*\Delta R_{fuse}^2*t_{shell} + 3.14*R_{fuse}^3*t_{shell} + 4*R_{fuse}^2*\Delta R_{fuse}*t_{shell} + 4*R_{fuse}^3*\theta_{db}*t_{shell} + R_{fuse}*\Delta R_{fuse}^2*\theta_{db}*t_{shell} >= I_{h_{shell}}
(PI*R_{fuse}^2 + 8*w_{db}*R_{fuse} + (2PI + 4*\theta_{db})*w_{db}^2)*R_{fuse}*t_{shell} >= I_{v_{shell}}
x_{hbend_{Land}} >= x_{wing}
x_{hbend_{Land}} <= l_{fuse}
x_{hbend_{MLF}} >= x_{wing}
x_{hbend_{MLF}} <= l_{fuse}
A_{0h} = A_{2h_{Land}}*(x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}*(x_{tail} - x_{hbend_{Land}})
A_{0h} = A_{2h_{MLF}}*(x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}*(x_{tail} - x_{hbend_{MLF}})
A_{2h_{Land}} >= N_{land}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{2h_{MLF}} >= Mission1.Aircraft.Fuselage.N_{lift}*(W_{payload_{max}} + W_{padd} + W_{shell} + W_{window} + W_{insul} + W_{floor} + W_{seat})/(2*l_{shell}*h_{fuse}*\sigma_{M_h})
A_{0h} = I_{h_{shell}}/(r_E*h_{fuse}^2)
A_{2h_{Land}}*(x_{shell2} - x_f)^0 + A_{1h_{Land}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_f)^0 + A_{1h_{MLF}}*(x_{tail} - x_f) - A_{0h} <= A_{hbendf_{MLF}}
A_{2h_{Land}}*(x_{shell2} - x_b)^0 + A_{1h_{Land}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{Land}}
A_{2h_{MLF}}*(x_{shell2} - x_b)^0 + A_{1h_{MLF}}*(x_{tail} - x_b) - A_{0h} <= A_{hbendb_{MLF}}
A_{2h_{Land}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_f) <= V_{hbend_{f}}
A_{2h_{MLF}}/3*(x_{shell2} - x_f)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_f)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_f) <= V_{hbend_{f}}
A_{2h_{Land}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{Land}})^0 + A_{1h_{Land}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{Land}})^0 - A_{0h}*(x_{hbend_{Land}} - x_b) <= V_{hbend_{b}}
A_{2h_{MLF}}/3*(x_{shell2} - x_b)^0 - (x_{shell2} - x_{hbend_{MLF}})^0 + A_{1h_{MLF}}/2*(x_{tail} - x_b)^0 - (x_{tail} - x_{hbend_{MLF}})^0 - A_{0h}*(x_{hbend_{MLF}} - x_b) <= V_{hbend_{b}}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{Land}} + A_{hbendb_{Land}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{hbend_{c}} >= 0.5*(A_{hbendf_{MLF}} + A_{hbendb_{MLF}})*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{hbend} >= V_{hbend_{c}} + V_{hbend_{f}} + V_{hbend_{b}}
W_{hbend} >= g*\rho_{bend}*V_{hbend}
x_{vbend} >= x_{wing}
x_{vbend} <= l_{fuse}
B_{0v} = B_{1v}*(x_{tail} - x_{vbend})
B_{0v} = I_{v_{shell}}/(r_E*w_{fuse}^2)
B_{1v}*(x_{tail} - x_b) - B_{0v} <= A_{vbend_{b}}
0.5*B_{1v}*(x_{tail} - x_b)^0 - (x_{tail} - x_{vbend})^0 - B_{0v}*(x_{vbend} - x_b) <= V_{vbend_{b}}
V_{vbend_{c}} >= 0.5*A_{vbend_{b}}*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
V_{vbend} >= V_{vbend_{b}} + V_{vbend_{c}}
W_{vbend} >= \rho_{bend}*g*V_{vbend}
x_f = x_{wing} + 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
x_b = x_{wing} - 0.5*c_0*Mission1.Aircraft.Fuselage.r_{w/c}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_h}
\sigma_{bend} - r_E*\Delta P_{over}/2*R_{fuse}/t_{shell} >= \sigma_{M_v}
V_{cyl} = A_{skin}*l_{shell}
V_{nose} = S_{nose}*t_{skin}
V_{bulk} = S_{bulk}*t_{skin}
V_{db} = A_{db}*l_{shell}
V_{cabin} >= A_{fuse}*(l_{shell} + 0.67*l_{nose} + 0.67*R_{fuse})
W_{apu} = W_{payload_{max}}*f_{apu}
W_{db} = \rho_{skin}*g*V_{db}
W_{insul} >= W''_{insul}*(3.46 + 2*\theta_{db})*R_{fuse}*l_{shell} + 0.55*(S_{nose} + S_{bulk})
W_{window} >= W'_{window}*l_{shell}
W_{padd} = W_{payload_{max}}*f_{padd}
W_{seat} >= W'_{seat}*n_{seat}
W_{seat} >= f_{seat}*W_{payload_{max}}
W_{skin} >= \rho_{skin}*g*(V_{cyl} + V_{nose} + V_{bulk})
W_{shell} >= W_{skin}*(1 + f_{string} + f_{fadd} + f_{frame}) + W_{db}
W_{fuse} >= C_{fuse}*(W_{shell} + W_{floor} + W_{insul} + W_{apu} + W_{fix} + W_{window} + W_{padd} + W_{seat} + W_{hbend} + W_{vbend} + W_{cone})
Wing
WingNoStruct
A_{rect} = c_{tip}*b
0.5*(1 - \lambda)*c_{root}*b <= A_{tri}
p >= 1 + 2*\lambda
2*q >= 1 + p
y_{mac} = b/3*q/p
mac >= 0.667*(1 + \lambda + \lambda^2)*c_{root}/q
\lambda = c_{tip}/c_{root}
S = b*(c_{root} + c_{tip})/2
0.0524*\lambda^4 - 0.15*\lambda^3 + 0.166*\lambda^2 - 0.0706*\lambda + 0.0119 <= f(\lambda_w)
e*(1 + f(\lambda_w)*AR) <= 1
\lambda >= 0.15
V_{fuel, max} <= 0.303*mac^2*b*\tau
W_{fuel_{wing}} <= \rho_{fuel}*V_{fuel, max}*g
b <= b_{max}
WingBox
AR = b^2/S
0.423*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau^2*t_{cap} >= 0.92*Mission1.Aircraft.Wing.WingBox.r_{w/c}*\tau*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p^-2.38 + 0.14*p^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau*t_{web}*S^1.5*\nu/(3*AR^0.5)
\tau <= \tau_{max_w}
W_{struct} >= W_{web} + W_{cap}
AR*L_{max}*q^2/(\tau*S*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.Wing.WingBox.r_{w/c}*t_{cap}*S^1.5*\nu/(3*AR^0.5)
Mission1.Aircraft.Wing.WingBox.N_{lift} = 3
Mission1.Aircraft.Wing.WingBox.M_r*AR*q^2*\tau/(S*I_{cap}*\sigma_{max}) <= 8
\lambda = taper
W_{wing} >= C_{wing}*W_{struct} + W_{struct}*(f_{flap} + f_{slat} + f_{aileron} + f_{lete} + f_{ribs} + f_{spoiler} + f_{watt})
0.0417*(c_{root} + 5*c_{tip})/S*b^2*\tan(\Lambda) >= \Delta x_{AC_{wing}}
Engine
Compressor
(no constraints)
Combustor
(no constraints)
Turbine
(no constraints)
Thrust
(no constraints)
FanMap
(no constraints)
LPCMap
(no constraints)
HPCMap
(no constraints)
Sizing
A_{2} >= A_{5} + A_{7}
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
EnginePerformance
CompressorPerformance
T_{t_0}[:] = T_{atm}[:]/c1[:]^-1
h_{t_0}[:] = C_{p_{air}*T_{t_0}[:]
P_{t_{1.8}}[:] = \pi_{d}*P_{t_0}[:]
T_{t_{1.8}}[:] = T_{t_0}[:]
h_{t_{1.8}}[:] = h_{t_0}[:]
P_{t_0}[:] = f_{BLI_{P}}*P_{atm}[:]/c1[:]^-3.5
T_{T_{2}}[:] = T_{t_{1.8}}[:]
h_{T_{2}}[:] = h_{t_{1.8}}[:]
P_{T_{2}}[:] = P_{t_{1.8}}[:]
P_{t_{2.1}}[:] = \pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.1}}[:] = T_{T_{2}}[:]*\pi_{f}[:]^0.307767877016
h_{t_{2.1}}[:] = C_{p_{air}*T_{t_{2.1}}[:]
P_{t_7}[:] = \pi_{fn}*P_{t_{2.1}}[:]
T_{t_7}[:] = T_{t_{2.1}}[:]
h_{t_7}[:] = h_{t_{2.1}}[:]
P_{t_{2.5}}[:] = \pi_{lc}[:]*\pi_{f}[:]*P_{T_{2}}[:]
T_{t_{2.5}}[:] = T_{T_{2}}[:]*(\pi_{f}[:]*\pi_{lc}[:])^0.309448280152
h_{t_{2.5}}[:] = T_{t_{2.5}}[:]*C_{p_{1}
P_{t_3}[:] = \pi_{hc}[:]*P_{t_{2.5}}[:]
T_{t_3}[:] = T_{t_{2.5}}[:]*\pi_{hc}[:]^0.293761306491
h_{t_3}[:] = C_{p_{2}*T_{t_3}[:]
CombustorPerformance
h_{t_4}[:] = C_{p_{c}}*T_{t_4}[:]
h_{t_{4.1}}[:] = C_{p_{c}}*T_{t_{4.1}}[:]
fp1[:] = f[:] + 1
M_{4a}[:] = 0.1025
fp1[:]*u_{4.1}[:] = (u_{4a}[:]*fp1[:]*\alpha_c*u_c[:])^0.5
T_{4.1}[:] <= [[T_{t_{4.1}}[0,0] - u_{4.1}[0,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[1,0] - u_{4.1}[1,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[2,0] - u_{4.1}[2,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[3,0] - u_{4.1}[3,0]^2*0.5/C_{p_{c}}], [T_{t_{4.1}}[4,0] - u_{4.1}[4,0]^2*0.5/C_{p_{c}}]]
P_{t_{4.1}}[:] = P_{4a}[:]*(T_{t_{4.1}}[:]/T_{4.1}[:])^-4.19488817891
u_{4a}[:] = M_{4a}[:]*(1.31*Mission1.Aircraft.Engine.EngineConstants.R*T_{t_4}[:])^0.5/hold_{4a}
u_c[:] = r_{uc}*u_{4a}[:]
P_{4a}[:] = P_{t_4}[:]*hold_{4a}^4.19488817891
TurbinePerformance
h_{t_{4.5}}[:] = C_{p_{t1}}*T_{t_{4.5}}[:]
P_{t_{4.9}}[:] = \pi_{LPT}[:]*P_{t_{4.5}}[:]
\pi_{LPT}[:] = (T_{t_{4.9}}[:]/T_{t_{4.5}}[:])^3.5188700565
h_{t_{4.9}}[:] = C_{p_{t2}}*T_{t_{4.9}}[:]
P_{t_5}[:] = \pi_{tn}*P_{t_{4.9}}[:]
T_{t_5}[:] = T_{t_{4.9}}[:]
h_{t_5}[:] = h_{t_{4.9}}[:]
ThrustPerformance
P_{8}[:] = P_{atm}[:]
h_{8}[:] = C_{p_{fex}*T_{8}[:]
u_{8}[:]^2 + 2*h_{8}[:] <= 2*h_{t_8}[:]
(P_{8}[:]/P_{t_8}[:])^0.279019466474 = T_{8}[:]/T_{t_8}[:]
h_{t_8}[:] = C_{p_{fex}*T_{t_8}[:]
P_{6}[:] = P_{atm}[:]
(P_{6}[:]/P_{t_6}[:])^0.285714285714 = T_{6}[:]/T_{t_6}[:]
u_{6}[:]^2 + 2*h_6[:] <= 2*h_{t_6}[:]
h_6[:] = C_{p_{tex}*T_{6}[:]
h_{t_6}[:] = C_{p_{tex}*T_{t_6}[:]
\alpha[:] = m_{fan}[:]/m_{core}[:]
\alpha_{+1}[:] = \alpha[:] + 1
\alpha[:] <= \alpha_{max}
F[:] <= F_{6}[:] + F_{8}[:]
F_{sp}[:] = F[:]/(\alpha_{+1}[:]*m_{core}[:]*a[:])
TSFC[:] = 1/I_{sp}[:]
F_{8}[:]/(\alpha[:]*m_{core}[:]) + V[:]*f_{BLI_{V}} <= u_{8}[:]
FanMapPerformance
m_{tild_f}[:] = m_{f}[:]/\bar{m}_{fan_{D}}
LPCMapPerformance
m_{tild_lc}[:] = m_{lc}[:]/m_{lc_D}
HPCMapPerformance
m_{tild_{hc}}[:] = m_{hc}[:]/m_{hc_D}
SizingPerformance
P_{7}[:] >= P_{atm}[:]
M_7[:] <= 1
a_{7}[:] = (1.4*Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])^0.5
a_{7}[:]*M_7[:] = u_{7}[:]
\rho_7[:] = P_{7}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{7}[:])
P_{5}[:] >= P_{atm}[:]
M_5[:] <= 1
a_{5}[:] = (1.39*Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])^0.5
a_{5}[:]*M_5[:] = u_{5}[:]
\rho_5[:] = P_{5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{5}[:])
h_{2}[:] = C_{p_{1}*T_{2}[:]
\rho_{2}[:] = P_{2}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:])
u_{2}[:] = M_2[:]*(C_{p_{1}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2}[:]/dum[:])^0.5
h_{2.5}[:] = C_{p_{2}*T_{2.5}[:]
\rho_{2.5}[:] = P_{2.5}[:]/(Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:])
u_{2.5}[:] = M_{2.5}[:]*(C_{p_{2}*Mission1.Aircraft.Engine.EngineConstants.R*T_{2.5}[:]/dum[:])^0.5
m_{total}[:]/\alpha_{+1}[:]*1/100*9.81*(1.68e+03 + 17.7*\pi_{f}[:]*\pi_{lc}[:]*\pi_{hc}[:]/30 + 1.66e+03*(\alpha[:]/5)^1.2) <= W_{engine}
d_{f} = (4*A_{2}/(PI*HTR_{f_{SUB}}))^0.5
d_{LPC} = (4*A_{2.5}/(PI*HTR_{lpc_{SUB}}))^0.5
\eta_{B}*f[:]*h_{f} >= [[(1 - \alpha_c)*h_{t_4}[0,0] - (1 - \alpha_c)*h_{t_3}[0,0]], [(1 - \alpha_c)*h_{t_4}[1,0] - (1 - \alpha_c)*h_{t_3}[1,0]], [(1 - \alpha_c)*h_{t_4}[2,0] - (1 - \alpha_c)*h_{t_3}[2,0]], [(1 - \alpha_c)*h_{t_4}[3,0] - (1 - \alpha_c)*h_{t_3}[3,0]], [(1 - \alpha_c)*h_{t_4}[4,0] - (1 - \alpha_c)*h_{t_3}[4,0]]] + C_{p_{fuel}*f[:]*([[T_{t_4}[0,0] - T_{t_f}], [T_{t_4}[1,0] - T_{t_f}], [T_{t_4}[2,0] - T_{t_f}], [T_{t_4}[3,0] - T_{t_f}], [T_{t_4}[4,0] - T_{t_f}]])
h_{t_{4.1}}[:]*fp1[:] <= (1 - \alpha_c + f[:])*h_{t_4}[:] + \alpha_c*h_{t_3}[:]
P_{t_4}[:] = \pi_{b}*P_{t_3}[:]
M_{takeoff}*\eta_{HPshaft}*fp1[:]*([[h_{t_{4.1}}[0,0] - h_{t_{4.5}}[0,0]], [h_{t_{4.1}}[1,0] - h_{t_{4.5}}[1,0]], [h_{t_{4.1}}[2,0] - h_{t_{4.5}}[2,0]], [h_{t_{4.1}}[3,0] - h_{t_{4.5}}[3,0]], [h_{t_{4.1}}[4,0] - h_{t_{4.5}}[4,0]]]) >= [[h_{t_3}[0,0] - h_{t_{2.5}}[0,0]], [h_{t_3}[1,0] - h_{t_{2.5}}[1,0]], [h_{t_3}[2,0] - h_{t_{2.5}}[2,0]], [h_{t_3}[3,0] - h_{t_{2.5}}[3,0]], [h_{t_3}[4,0] - h_{t_{2.5}}[4,0]]]
M_{takeoff}*\eta_{LPshaft}*fp1[:]*([[h_{t_{4.5}}[0,0] - h_{t_{4.9}}[0,0]], [h_{t_{4.5}}[1,0] - h_{t_{4.9}}[1,0]], [h_{t_{4.5}}[2,0] - h_{t_{4.9}}[2,0]], [h_{t_{4.5}}[3,0] - h_{t_{4.9}}[3,0]], [h_{t_{4.5}}[4,0] - h_{t_{4.9}}[4,0]]]) >= [[h_{t_{2.5}}[0,0] - h_{t_{1.8}}[0,0]], [h_{t_{2.5}}[1,0] - h_{t_{1.8}}[1,0]], [h_{t_{2.5}}[2,0] - h_{t_{1.8}}[2,0]], [h_{t_{2.5}}[3,0] - h_{t_{1.8}}[3,0]], [h_{t_{2.5}}[4,0] - h_{t_{1.8}}[4,0]]] + \alpha[:]*([[h_{t_{2.1}}[0,0] - h_{T_{2}}[0,0]], [h_{t_{2.1}}[1,0] - h_{T_{2}}[1,0]], [h_{t_{2.1}}[2,0] - h_{T_{2}}[2,0]], [h_{t_{2.1}}[3,0] - h_{T_{2}}[3,0]], [h_{t_{2.1}}[4,0] - h_{T_{2}}[4,0]]])
P_{t_{4.5}}[:] = \pi_{HPT}[:]*P_{t_{4.1}}[:]
\pi_{HPT}[:] = (T_{t_{4.5}}[:]/T_{t_{4.1}}[:])^3.77163522013
\pi_{f}[:]*1.7/\pi_{f_D} = (1.05*N_{f}[:]^0.0871)^10
\pi_{f}[:]*1.7/\pi_{f_D} <= 1.1*(1.06*m_{tild_f}[:]^0.137)^10
\pi_{f}[:]*1.7/\pi_{f_D} >= 0.9*(1.06*m_{tild_f}[:]^0.137)^10
m_{f}[:] = m_{fan}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{f}[:] >= 1
\pi_{lc}[:]*26/\pi_{lc_D} = (1.38*N_{1}[:]^0.566)^10
\pi_{lc}[:]*26/\pi_{lc_D} <= 1.1*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:]*26/\pi_{lc_D} >= 0.9*(1.38*m_{tild_lc}[:]^0.122)^10
\pi_{lc}[:] >= 1
m_{lc}[:] = m_{core}[:]*(T_{T_{2}}[:]/T_{ref})^0.5/(P_{T_{2}}[:]/P_{ref})
\pi_{hc}[:]*26/\pi_{hc_D} = (1.38*N_{2}[:]^0.566)^10
\pi_{hc}[:]*26/\pi_{hc_D} >= 0.9*(1.38*m_{tild_{hc}}[:]^0.122)^10
\pi_{hc}[:]*26/\pi_{hc_D} <= 1.1*(1.38*m_{tild_{hc}}[:]^0.122)^10
m_{hc}[:] = m_{core}[:]*(T_{t_{2.5}}[:]/T_{ref})^0.5/(P_{t_{2.5}}[:]/P_{ref})
\pi_{hc}[:] >= 1
OPR[:] = \pi_{hc}[:]*\pi_{lc}[:]*\pi_{f}[:]
P_{t_8}[:] = P_{t_7}[:]
T_{t_8}[:] = T_{t_7}[:]
P_{t_6}[:] = P_{t_5}[:]
T_{t_6}[:] = T_{t_5}[:]
F_{6}[:]/(M_{takeoff}*m_{core}[:]) + fp1[:]*V[:] <= fp1[:]*u_{6}[:]
I_{sp}[:] = F_{sp}[:]*a[:]*\alpha_{+1}[:]/(f[:]*g)
N_{f}[:]*G_{f} = N_{1}[:]
N_{1}[:] <= 1.1
N_{2}[:] <= 1.1
fp1[:]*m_{hc}[:]*M_{takeoff}*P_{t_{2.5}}[:]/P_{t_{4.1}}[:]*(T_{t_{4.1}}[:]/T_{t_{2.5}}[:])^0.5 = m_{htD}
fp1[:]*m_{lc}[:]*M_{takeoff}*P_{t_{1.8}}[:]/P_{t_{4.5}}[:]*(T_{t_{4.5}}[:]/T_{t_{1.8}}[:])^0.5 = m_{ltD}
P_{7}[:]/P_{t_7}[:] = (T_{7}[:]/T_{t_7}[:])^3.5
(T_{7}[:]/T_{t_7}[:])^-1 >= 1 + 0.2*M_7[:]^2
P_{5}[:]/P_{t_5}[:] = (T_{5}[:]/T_{t_5}[:])^3.583979
(T_{5}[:]/T_{t_5}[:])^-1 >= 1 + 0.2*M_5[:]^2
M_{takeoff}*m_{core}[:] = \rho_5[:]*A_{5}*u_{5}[:]/fp1[:]
m_{fan}[:] = \rho_7[:]*A_{7}*u_{7}[:]
m_{total}[:] = m_{fan}[:] + m_{core}[:]
P_{2}[:] = P_{T_{2}}[:]*hold_{2}[:]^-3.512
T_{2}[:] = T_{T_{2}}[:]*hold_{2}[:]^-1
m_{fan}[:]/(\rho_{2}[:]*u_{2}[:]) = A_{2}
P_{2.5}[:] = P_{t_{2.5}}[:]*hold_{2.5}[:]^-3.824857
T_{2.5}[:] = T_{t_{2.5}}[:]*hold_{2.5}[:]^-1
m_{core}[:]/(\rho_{2.5}[:]*u_{2.5}[:]) = A_{2.5}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 >= m_{htD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*2.2/14.1 <= m_{htD}
1.3*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 >= m_{ltD}
0.7*fp1[:]*M_{takeoff}*m_{coreD}*1.97/6.98 <= m_{ltD}
m_{lc_D} >= 0.7*m_{coreD}/0.649
m_{lc_D} <= 1.3*m_{coreD}/0.649
m_{hc_D} >= 0.7*m_{coreD}*1.29/3.23
m_{hc_D} <= 1.3*m_{coreD}*1.29/3.23
\bar{m}_{fan_{D}} >= 0.7*\alpha_{OD}*m_{coreD}*0.932/0.405
\bar{m}_{fan_{D}} <= 1.3*\alpha_{OD}*m_{coreD}*0.932/0.405
F[:] = F_{spec}[:]
T_{t_{4.1}}[:] <= T_{t_{4.1_{max}}}
OPR[:] <= OPR_{max}
VerticalTail
VerticalTailNoStruct
C_{L_{vt,yaw}} = 0.85*C_{L_{vt,max}}
L_{vt,EO} = 0.5*\rho_{TO}*V_1^2*S_{vt}*C_{L_{vt,EO}}
c_{l_{vt,EO}} >= C_{L_{vt,EO}}*(1 + c_{l_{vt,EO}}/(PI*e_{vt}*A_{vt}))
A_{vt} = b_{vt}^2/S_{vt}
b_{vt}*(c_{root_{vt}} + c_{tip_{vt}})/2 >= S_{vt}
p_{vt} >= 1 + 2*\lambda_{vt}
2*q_{vt} >= 1 + p_{vt}
y_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
z_{\bar{c}_{vt}} = b_{vt}/3*q_{vt}/p_{vt}
0.667*(1 + \lambda_{vt} + \lambda_{vt}^2)*c_{root_{vt}}/q_{vt} = \bar{c}_{vt}
\lambda_{vt} = c_{tip_{vt}}/c_{root_{vt}}
\Delta x_{trail_{vt}} >= \Delta x_{lead_{vt}} + c_{root_{vt}}
\Delta x_{lead_{vt}} + y_{\bar{c}_{vt}}*\tan(\Lambda_{vt}) + 0.25*\bar{c}_{vt} >= l_{vt}
\lambda_{vt} >= 0.25
V_{vt} >= V_{vt_{min}}
WingBox
AR_{vt} = (2*b_{vt})^2/(2*S_{vt})
0.423*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}^2*t_{cap} >= 0.92*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*\tau_{vt}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{vt}^-2.38 + 0.14*p_{vt}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{vt}*t_{web}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
\tau_{vt} <= 0.14
W_{struct} >= 0.5*(W_{web} + W_{cap})
Mission1.Aircraft.VerticalTail.WingBox.M_r >= 2*L_{vt_{max}}*AR_{vt}*p_{vt}/24
AR_{vt}*2*L_{vt_{max}}*Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*q_{vt}^2/(\tau_{vt}*2*S_{vt}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= 8*\rho_{cap}*g*Mission1.Aircraft.VerticalTail.WingBox.r_{w/c}*t_{cap}*(2*S_{vt})^1.5*\nu/(3*AR_{vt}^0.5)
Mission1.Aircraft.VerticalTail.WingBox.N_{lift} = 1
Mission1.Aircraft.VerticalTail.WingBox.N_{lift}*Mission1.Aircraft.VerticalTail.WingBox.M_r*AR_{vt}*q_{vt}^2*\tau_{vt}/(2*S_{vt}*I_{cap}*\sigma_{max}) <= 8
\lambda_{vt} = taper
W_{vt} >= N_{spar}*C_{VT}*(W_{struct} + W_{struct}*f_{VT})
HorizontalTail
HorizontalTailNoStruct
\Delta x_{lead_{ht}} + y_{\bar{c}_{ht}}*\tan(\Lambda_{ht}) + 0.25*\bar{c}_{ht} >= l_{ht}
\Delta x_{trail_{ht}} >= \Delta x_{lead_{ht}} + c_{root_{ht}}
p_{ht} >= 1 + 2*\lambda_{ht}
2*q_{ht} >= 1 + p_{ht}
y_{\bar{c}_{ht}} = b_{ht}/3*q_{ht}/p_{ht}
0.667*(1 + \lambda_{ht} + \lambda_{ht}^2)*c_{root_{ht}}/q_{ht} = \bar{c}_{ht}
\lambda_{ht} = c_{tip_{ht}}/c_{root_{ht}}
S_{ht} = b_{ht}*(c_{root_{ht}} + c_{tip_{ht}})/2
0.0524*\lambda_{ht}^4 - 0.15*\lambda_{ht}^3 + 0.166*\lambda_{ht}^2 - 0.0706*\lambda_{ht} + 0.0119 <= f(\lambda_{ht})
e_{ht}*(1 + f(\lambda_{ht})*AR_{ht}) <= 1
AR_{ht} = b_{ht}^2/S_{ht}
\lambda_{ht} >= 0.2
\lambda_{ht} <= 1
WingBox
AR_{ht} = b_{ht}^2/S_{ht}
0.423*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}^2*t_{cap} >= 0.92*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*\tau_{ht}*t_{cap}^2 + I_{cap}
\nu^3.94 >= 0.86*p_{ht}^-2.38 + 0.14*p_{ht}^0.56
W_{web} >= 8*\rho_{web}*g*r_h*\tau_{ht}*t_{web}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
\tau_{ht} <= 0.14
W_{struct} >= W_{web} + W_{cap}
L_{ht_{tri_{out}}} >= L_{ht_{tri}}*b_{ht_{out}}^2/(0.5*b_{ht})^2
L_{ht_{rect_{out}}} >= L_{ht_{rect}}*b_{ht_{out}}/(0.5*b_{ht})
2*AR_{ht}*L_{shear}*Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*q_{ht}^2/(\tau_{ht}*S_{ht}*t_{web}*\sigma_{max,shear}) <= 12
W_{cap} >= \pi_{M-fac}*8*\rho_{cap}*g*Mission1.Aircraft.HorizontalTail.WingBox.r_{w/c}*t_{cap}*S_{ht}^1.5*\nu/(3*AR_{ht}^0.5)
Mission1.Aircraft.HorizontalTail.WingBox.N_{lift} = 1
Mission1.Aircraft.HorizontalTail.WingBox.N_{lift}*Mission1.Aircraft.HorizontalTail.WingBox.M_r*AR_{ht}*q_{ht}^2*\tau_{ht}/(S_{ht}*I_{cap}*\sigma_{max}) <= 8
L_{ht_{rect}} >= L_{ht_{max}}/2*c_{tip_{ht}}*b_{ht}/S_{ht}
L_{ht_{max}}/4*(1 - taper)*c_{root_{ht}}*b_{ht}/S_{ht} <= L_{ht_{tri}}
W_{ht} >= C_{ht}*(W_{struct} + W_{struct}*f_{ht})
LandingGear
l_n + z_{wing} + y_m*\tan(\gamma) >= l_m
T = 2*y_m
x_m >= x_n + B
x_n >= 5
\tan(\phi) = \tan(\phi_{min})
(z_{CG} + l_m)^0*(y_m^2 + B^2)/(\Delta x_n*y_m*\tan(\psi))^2 <= 1
\tan(\psi) <= \tan(\psi_{max})
x_{up} - x_m <= l_m/\tan(\theta_{max})
y_m >= l_m
S_{sa} = 1/\eta_s*E_{land}/(L_m*\lambda_{LG})
l_{oleo} = 2.5*S_{sa}
d_{oleo} = 1.3*(4*\lambda_{LG}*L_m/n_{mg}/(PI*p_{oleo}))^0.5
l_m >= l_{oleo} + d_{t_m}/2
F_{w_m} = L_{w_m}*d_{t_m}/(1e+03 [N*in])
W_{wa,m} = 1.2*F_{w_m}^0.609
F_{w_n} = L_{w_n}*d_{t_n}/1e+03
W_{wa,n} = 1.2*F_{w_n}^0.609
L_{w_m} = L_m/(n_{mg}*n_{wps})
L_{w_n} = L_n/n_{wps}
d_{t_m} = 1.63*(L_{w_m}/4.44)^0.315
w_{t_m} = 0.104*(L_{w_m}/4.44)^0.48
d_{t_n} = 0.8*d_{t_m}
w_{t_n} = 0.8*w_{t_m}
W_{ms} >= 2PI*r_m*t_m*l_m*\rho_{st}*g
N_s*\lambda_{LG}*L_m/n_{mg} <= \sigma_{y_c}*2PI*r_m*t_m
W_{mw} = n_{wps}*W_{wa,m}
W_{ns} >= 2PI*r_n*t_n*l_n*\rho_{st}*g
\sigma_{y_c}*2PI*r_n*t_n >= N_s*(L_n + L_{n_{dyn}})
W_{nw} >= n_{wps}*W_{wa,n}
L_m <= 9.87*E*I_m/(K*l_m)^2
I_m = PI*r_m^3*t_m
L_n <= 9.87*E*I_n/(K*l_n)^2
I_n = PI*r_n^3*t_n
2*r_m/t_m <= 40
2*r_m/t_n <= 40
h_{hold} >= 2*w_{t_m} + 2*r_m
0.8 >= 2*w_{t_n} + 2*r_n
W_{mg} >= n_{mg}*(W_{ms} + W_{mw}*(1 + f_{add,m}))
W_{ng} >= W_{ns} + W_{nw}*(1 + f_{add,n})
W_{lg} >= C_{lg}*(W_{mg} + W_{ng})
W_{lg}*x_{CG_{lg}} >= W_{ng}*x_n + W_{mg}*x_m
x_m >= x_{CG_{lg}}
c_{root} = c_0
Mission1.Aircraft.Wing.WingBox.r_{w/c} = Mission1.Aircraft.Fuselage.r_{w/c}
x_w = x_{wing}
Mission1.Aircraft.Fuselage.N_{lift} = Mission1.Aircraft.Wing.WingBox.N_{lift}
f_{L_{total/wing}}*L_{max} >= Mission1.Aircraft.Wing.WingBox.N_{lift}*W_{total, max} + L_{ht_{max}}
W_{dry}[:] >= W_{fuse} + n_{eng}*W_{engsys} + W_{tail} + W_{wing} + W_{misc}
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] + W_{dry}[:] + W_{payload}[:] <= W_{total}[:]
W_{f_{total}}[:] >= W_{f_{primary}}[:] + f_{fuel_{res}}*W_{f_{primary}}[:]
W_{f_{primary}}[:] >= W_{f_{climb}}[:] + W_{f_{cruise}}[:]
W_{total}[:] <= W_{total, max}
f_{wingfuel}*W_{f_{total}}[:]/FuelFrac <= W_{fuel_{wing}}
W_{misc} >= W_{lg} + W_{hpesys}
W_{hpesys} = f_{hpesys}*W_{total, max}
x_n <= l_{nose}
x_m >= x_{wing}
\Delta x_{AC_{wing}} + x_{wing} >= x_m
x_{hpesys} = 1.1*l_{nose}
x_{misc}*W_{misc} >= x_{hpesys}*W_{hpesys}
d_{nacelle} >= d_{f} + 2*t_{nacelle}
E_{land} >= W_{total, max}/(2*g)*w_{ult}^2
x_{up} = x_{shell2}
L_n = W_{total, max}*\Delta x_m/B
L_m = W_{total, max}*\Delta x_n/B
L_{n_{dyn}} >= 0.31*(z_{CG} + l_m)/B*W_{total, max}
y_{eng} >= y_m
3*n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}*(p_{\lambda_{vt}} - 1) >= n_{vt}*L_{vt_{max}}*b_{vt}*p_{\lambda_{vt}}
V_{cone}*(1 + \lambda_{cone})*(PI + 4*\theta_{db}) >= n_{vt}*Mission1.Aircraft.VerticalTail.WingBox.M_r*c_{root_{vt}}/\tau_{cone}*(PI + 2*\theta_{db})*l_{cone}/R_{fuse}
W_{tail} >= n_{vt}*W_{vt} + W_{ht}
2*w_{fuse} >= SPR*w_{seat} + n_{aisle}*w_{aisle} + 2*w_{sys} + t_{db}
B_{1v} = r_{M_v}*n_{vt}*L_{vt_{max}}/(w_{fuse}*\sigma_{M_v})
m_{ratio}*(1 + 2/AR) = 1 + 2/AR_{ht}
x_{CG_{ht}} <= l_{fuse}
V_{ht} = S_{ht}*l_{ht}/(S*mac)
L_{ht_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{ht}*C_{L_{ht,max}}
L_{vt_{max}} >= 0.5*\rho_{T/O}*V_{ne}^2*S_{vt}*C_{L_{vt,max}}
x_{CG_{vt}} <= l_{fuse}
V_{vt} = n_{vt}*S_{vt}*l_{vt}/(S*b)
n_{vt}*0.5*\rho_{TO}*V_{land}^2*S_{vt}*l_{vt}*C_{L_{vt,yaw}} >= \dot{r}_{req}*I_{z, max}
n_{vt}*L_{vt,EO}*l_{vt} >= T_e*y_{eng} + D_{wm}*y_{eng}
D_{wm} >= 0.5*\rho_{TO}*V_1^2.0*A_{2}*C_{D_{wm}}
I_{z}[:] >= I_{z_{wing}}[:] + I_{z_{tail}}[:] + I_{z_{fuse}}[:]
I_{z}[:] <= I_{z, max}
S_{nacelle} = r_{S_{nacelle}}*PI*0.25*d_{f}^2
l_{nacelle} = 0.15*d_{f}*r_{S_{nacelle}}
f_{S_{nacelle}} = S_{nacelle}*S^-1
A_{inlet} = 0.4*S_{nacelle}
A_{fancowl} = 0.2*S_{nacelle}
A_{exh} = 0.4*S_{nacelle}
A_{corecowl} = 3PI*d_{LPC}^2
W_{nacelle} >= ((2.5 + 0.238*d_{f})*A_{inlet} + 1.9*A_{fancowl} + (2.5 + 0.0363*d_{f})*A_{exh} + 1.9*A_{corecowl})
W_{eadd} = f_{eadd}*W_{engine}
W_{pylon} >= (W_{nacelle} + W_{eadd} + W_{engine})*f_{pylon}
W_{engsys} >= C_{engsys}*(W_{pylon} + W_{nacelle} + W_{eadd} + W_{engine})
y_{eng} = 0.5*w_{fuse}
(L_{max} - Mission1.Aircraft.Wing.WingBox.N_{lift}*(W_{wing} + f_{wingfuel}*W_{f_{total}}[:]))*b^2/(12*S)*(c_{root} + 2*c_{tip}) <= Mission1.Aircraft.Wing.WingBox.M_r*c_{root}
A_{1h_{Land}} >= N_{land}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu})/(h_{fuse}*\sigma_{bend})
A_{1h_{MLF}} >= (Mission1.Aircraft.Fuselage.N_{lift}*(W_{tail} + n_{eng}*W_{engsys} + W_{apu}) + r_{M_h}*L_{ht_{max}})/(h_{fuse}*\sigma_{M_h})
I_{z_{wing}}[:] >= (W_{fuel_{wing}} + W_{wing})/(S*9.81)*c_{root}*b^3.0*(0.0833 - (1 - \lambda)/16)
I_{z_{tail}}[:] >= (W_{apu} + W_{vt} + n_{eng}*W_{engsys})*l_{vt}^2.0/9.81 + W_{ht}*l_{ht}^2.0/9.81
I_{z_{fuse}}[:] >= (W_{fuse} + W_{payload_{max}})/l_{fuse}*(x_{wing}^3.0 + l_{vt}^3.0)/(3*9.81)
x_{shell2} + l_{cone} >= x_{eng}
x_{eng} >= x_{shell2} + 0.75*l_{cone}
S_{floor} = 0.312*P_{floor}
M_{floor} = 0.0352*P_{floor}*w_{floor}
\Delta R_{fuse} = R_{fuse}*0.43/1.75
b_{ht}/4*L_{ht_{rect}} + b_{ht}/3*L_{ht_{tri}} = b_{ht_{out}}*L_{ht_{max}}/2
b_{ht_{out}} = 0.5*b_{ht} - w_{fuse}
L_{ht_{rect}}*b_{ht}/4 + L_{ht_{tri}}*b_{ht}/6 - w_{fuse}*L_{ht_{max}}/2 <= Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}}
M_{r_{out}}*c_{attach} >= L_{ht_{rect_{out}}}*0.5*b_{ht_{out}} + L_{ht_{tri_{out}}}*0.333*b_{ht_{out}}
L_{shear} >= L_{ht_{rect_{out}}} + L_{ht_{tri_{out}}}
c_{tip_{ht}} + (1 - \lambda_{ht})*2*b_{ht_{out}}/b_{ht}*c_{root_{ht}} = c_{attach}
\pi_{M-fac} >= (0.5*(M_{r_{out}}*c_{attach} + Mission1.Aircraft.HorizontalTail.WingBox.M_r*c_{root_{ht}})*w_{fuse}/(0.5*M_{r_{out}}*c_{attach}*b_{ht_{out}}) + 1)*b_{ht_{out}}/(0.5*b_{ht})
FlightSegment
FlightState
V[:] = V[:]
a[:] = (\gamma[:]*R[:]*T_{atm}[:])^0.5
V[:] = M[:]*a[:]
Altitude
h[:] = hft[:]
Atmosphere
(P_{atm}[:]/p_{sl}[:])^0.190222560396 = T_{atm}[:]/T_{sl}[:]
\rho[:] = P_{atm}[:]/(R_{atm}[:]/M_{atm}[:]*T_{atm}[:])
T_{sl}[:] = T_{atm}[:] + L_{atm}[:]*h[:]
\mu[:] = C_1[:]*T_{atm}[:]^1.5/(6.64*T_s[:]^0.72)
FlightP
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F[:]
RC[:] = P_{excess}[:]/W_{avg}[:]
\theta[:]*V[:] = RC[:]
dhft[:] = tmin[:]*RC[:]
R_{segment}[:] = thr[:]*V[:]
WingPerformance
0.5*\rho[:]*V[:]^2*S*C_{L}[:] >= L_w[:] + \Delta L_{o}[:] + 2*\Delta L_{t}[:]
\Delta L_{o}[:] = \eta_{o}[:]*f_{L_{o}}[:]*b/2*p_{o}[:]
\Delta L_{t}[:] = f_{L_{t}}[:]*p_{o}[:]*c_{root}*taper^2
(AR/\eta)^2*(1 + \tan(\Lambda)^2 - M[:]^2) + 8PI*AR/C_{L_{\alpha,w}}[:] = (2PI*AR/C_{L_{\alpha,w}}[:])^2
C_{L}[:] = C_{L_{\alpha,w}}[:]*\alpha_w[:]
\alpha_w[:] <= \alpha_{max,w}[:]
D_{wing}[:] = 0.5*\rho[:]*V[:]^2*S*C_{d_w}[:]
C_{d_w}[:] >= C_{D_{p_w}}[:] + C_{D_{i_w}}[:]
C_{D_{i_w}}[:] >= TipReduct*C_{L}[:]^2/(PI*e*AR)
Re_w[:] = \rho[:]*V[:]*mac/\mu[:]
C_{D_{p_w}}[:]^1.6515 >= 1.61*(Re_w[:]/1e+03)^-0.550434*\tau^1.29151*(\cos(\Lambda)*M[:])^3.03609*C_{L}[:]^1.77743 + 0.0466*(Re_w[:]/1e+03)^-0.389048*\tau^0.784123*(\cos(\Lambda)*M[:])^-0.340157*C_{L}[:]^0.950763 + 191*(Re_w[:]/1e+03)^-0.218621*\tau^3.94654*(\cos(\Lambda)*M[:])^19.2524*C_{L}[:]^1.15233 + 2.82e-12*(Re_w[:]/1e+03)^1.18147*\tau^-1.75664*(\cos(\Lambda)*M[:])^0.10563*C_{L}[:]^-1.44114
FuselagePerformance
(no constraints)
VerticalTailPerformance
D_{vt}[:] >= 0.5*\rho[:]*V[:]^2*S_{vt}*C_{D_{vis}}[:]
Re_{vt}[:] = \rho[:]*V[:]*\bar{c}_{vt}/\mu[:]
C_{D_{vis}}[:]^1.18909 >= 2.44e-77*Re_{vt}[:]^-0.52841*\tau_{vt}^133.796*M[:]^1022.7 + 0.00304*Re_{vt}[:]^-0.409988*\tau_{vt}^1.22062*M[:]^1.55119 + 0.000197*Re_{vt}[:]^0.214479*\tau_{vt}^-0.0383195*M[:]^-0.137561 + 6.59e-50*Re_{vt}[:]^-0.498092*\tau_{vt}^1.55922*M[:]^-114.577
HorizontalTailPerformance
L_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{L_{ht}}[:]
C_{L_{ht}}[:] = C_{L_{\alpha,ht}}[:]*\alpha_{ht}[:]
\alpha_{ht}[:] <= \alpha_{ht,max}
C_{L_{\alpha,ht_0}}[:] = 6.28
D_{ht}[:] = 0.5*\rho[:]*V[:]^2*S_{ht}*C_{D_{ht}}[:]
C_{D_{ht}}[:] >= C_{D_{0,ht}}[:] + C_{L_{ht}}[:]^2/(PI*e_{ht}*AR_{ht})
Re_{c_h}[:] = \rho[:]*V[:]*\bar{c}_{ht}/\mu[:]
C_{D_{0,ht}}[:]^6.48983 >= 5.29e-20*Re_{c_h}[:]^0.900672*\tau_{ht}^0.912222*M[:]^8.64547 + 1.68e-28*Re_{c_h}[:]^0.350958*\tau_{ht}^6.29187*M[:]^10.2559 + 7.1e-25*Re_{c_h}[:]^1.39489*\tau_{ht}^1.96239*M[:]^0.567066 + 3.73e-14*Re_{c_h}[:]^-2.57406*\tau_{ht}^3.12793*M[:]^0.448159 + 1.44e-12*Re_{c_h}[:]^-3.91046*\tau_{ht}^4.66279*M[:]^7.68852
W_{burn}[:] = W_{burn}[:]
F_{fuel}[:] = F_{fuel}[:]
\rho_{cabin}[:] = P_{cabin}[:]/(R[:]*T_{cabin}[:])
P_{cabin}[:] = 7.5e+04
T_{cabin}[:] = 297
V[:] >= V_{stall}[:]
W_{avg}[:] >= (W_{start}[:]*W_{end}[:])^0.5 + W_{buoy}[:]
tmin[:] = thr[:]
L_{fuse}[:] = (f_{L_{total/wing}} - 1)*L_w[:]
L_{total}[:] = f_{L_{total/wing}}*L_w[:]
L_{total}[:] >= W_{avg}[:] + L_{ht}[:]
D_{fuse}[:] = 0.5*\rho[:]*V[:]^2*C_{D_{fuse}}[:]*l_{fuse}*R_{fuse}*M[:]^2/M_{fuseD}^2
D[:] >= D_{reduct}*(D_{wing}[:] + D_{fuse}[:] + n_{vt}*D_{vt}[:] + D_{ht}[:] + n_{eng}*D_{nacelle}[:])
C_D[:] = D[:]/(0.5*\rho[:]*V[:]^2*S)
L/D[:] = W_{avg}[:]/D[:]
W_{Load}[:] <= W_{Load_{max}}[:]
W_{Load}[:] = 0.5*C_{L}[:]*S*\rho[:]*V[:]^2/S
p_{o}[:] >= L_w[:]*c_{root}/S
\eta_{o}[:] = w_{fuse}/(b/2)
x_{AC}[:] <= x_{wing} + 0.25*\Delta x_{AC_{wing}} + x_{NP}[:]
c_{m_{w}}[:] = 1.9
x_{NP}[:]/mac/V_{ht}*(AR + 2)*(1 + 2/AR_{ht}) = (1 + 2/AR)*(AR - 2)
x_{CG}[:] + \Delta x_{trail_{vt}} <= l_{fuse}
x_{CG}[:] + 0.5*(\Delta x_{lead_{vt}} + \Delta x_{trail_{vt}}) <= x_{CG_{vt}}
x_{CG}[:] + 0.5*(\Delta x_{lead_{ht}} + \Delta x_{trail_{ht}}) <= x_{CG_{ht}}
C_{L_{\alpha,ht}}[:] + 2*C_{L_{\alpha,w}}[:]/(PI*AR)*\eta_{ht}*C_{L_{\alpha,ht_0}}[:] <= C_{L_{\alpha,ht_0}}[:]*\eta_{ht}
AR_{ht} >= 4
C_{L_{ht}}[:] >= 0.01
SM[:] <= ([[x_{AC}[0,0] - x_{CG}[0,0]], [x_{AC}[1,0] - x_{CG}[1,0]], [x_{AC}[2,0] - x_{CG}[2,0]], [x_{AC}[3,0] - x_{CG}[3,0]], [x_{AC}[4,0] - x_{CG}[4,0]]])/mac
SM[:] >= SM_{min}
SM_{min} + \Delta x_{CG}/mac + c_{m_{w}}[:]/C_{L_{w,max}} <= V_{ht}*m_{ratio} + V_{ht}*C_{L_{ht,max}}/C_{L_{w,max}}
x_{AC}[:]/mac <= x_{CG}[:]/mac + c_{m_{w}}[:]/C_{L}[:] + V_{ht}*C_{L_{ht}}[:]/C_{L}[:]
R_{e_{nacelle}}[:] = \rho[:]*V[:]*l_{nacelle}/\mu[:]
C_{f_{nacelle}}[:] = 0.279/R_{e_{nacelle}}[:]^0.2
V_{nacelle}[:] = r_{v_{nacelle}}*V[:]
V_{nacelle_ratio}[:] >= [[V_{nacelle}[0,0]*2/V[0,0] - V_2[0,0]/V[0,0]], [V_{nacelle}[1,0]*2/V[1,0] - V_2[1,0]/V[1,0]], [V_{nacelle}[2,0]*2/V[2,0] - V_2[2,0]/V[2,0]], [V_{nacelle}[3,0]*2/V[3,0] - V_2[3,0]/V[3,0]], [V_{nacelle}[4,0]*2/V[4,0] - V_2[4,0]/V[4,0]]]
r_{v_{nsurf}}[:]^3.0 >= 0.25*(V_{nacelle_ratio}[:] + r_{v_{nacelle}})*(V_{nacelle_ratio}[:]^2.0 + r_{v_{nacelle}}^2.0)
C_{d_{nacelle}}[:] = f_{S_{nacelle}}*C_{f_{nacelle}}[0]*r_{v_{nsurf}}[:]^3.0
D_{nacelle}[:] = C_{d_{nacelle}}[:]*0.5*\rho[:]*V[:]^2.0*S
\Delta x_{lead_{vt}} + b_{vt}/\tan(\Lambda_{vt}) + w_{fuse}/\tan(\Lambda_{ht}) + c_{root_{ht}} >= \Delta x_{trail_{ht}}
M_2[:3] = M[:3]
M_{2.5}[:3] = 0.6
hold_{2}[:3] = 1.07164
hold_{2.5}[:3] = 1.06372
P_{excess}[:] + V[:]*D[:] <= V[:]*n_{eng}*F_{spec}[:]
c1[:] = 1 + 0.201*M[:]^2.0
M_2[3:] = M[3:]
M_{2.5}[3:] = 0.6
hold_{2}[3:] = 1.07164
hold_{2.5}[3:] = 1.06372
Beginning signomial solve.
Using solver 'mosek'
Solving for 1768 variables.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 476
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer - threads : 8
Optimizer - solved problem : the primal
Optimizer - Constraints : 878
Optimizer - Cones : 0
Optimizer - Scalar variables : 3466 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.49e+04 after factor : 1.55e+05
Factor - dense dim. : 0 flops : 3.17e+07
Factor - GP saved nzs : 3.36e+04 GP saved flops : 9.32e+05
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.2e+05 0.00e+00 -1.223083000e+05 2.000000000e+00 1.0e+00 0.04
1 1.6e+03 2.0e+03 8.4e+04 -9.71e-01 -1.214169755e+05 2.778937242e+00 6.8e-01 0.05
2 8.2e+02 1.1e+03 4.4e+04 -9.56e-01 -1.189685922e+05 5.116623673e+00 3.6e-01 0.06
3 2.9e+02 3.8e+02 1.6e+04 -9.15e-01 -1.102962345e+05 2.170095046e+01 1.3e-01 0.06
4 2.9e+02 3.8e+02 1.6e+04 -7.69e-01 -1.083159562e+05 1.743975991e+03 1.3e-01 0.07
5 1.1e+02 1.5e+02 6.0e+03 -7.60e-01 -8.473424866e+04 6.747984694e+03 5.0e-02 0.08
6 3.8e+01 4.9e+01 2.0e+03 -4.14e-01 -4.537005734e+04 1.080379792e+04 1.7e-02 0.09
7 2.0e+01 2.7e+01 1.1e+03 2.54e-01 -2.836625497e+04 7.045474557e+03 9.0e-03 0.10
8 9.4e+00 1.2e+01 5.0e+02 5.72e-01 -1.387003547e+04 4.245870985e+03 4.2e-03 0.11
9 4.7e+00 6.2e+00 2.6e+02 8.29e-01 -6.980052804e+03 2.517162242e+03 2.1e-03 0.12
10 1.4e+00 1.9e+00 7.8e+01 9.33e-01 -2.014621384e+03 9.508454525e+02 6.5e-04 0.13
11 6.4e-01 8.4e-01 3.5e+01 9.93e-01 -6.678945647e+02 6.594956157e+02 2.9e-04 0.14
12 4.8e-01 6.4e-01 2.7e+01 9.96e-01 -4.499444859e+02 5.609447906e+02 2.2e-04 0.15
13 3.5e-01 7.8e-01 1.9e+01 9.80e-01 -2.667764900e+02 4.766170471e+02 1.6e-04 0.16
14 1.7e-01 3.9e-01 9.5e+00 9.96e-01 3.398903189e-01 3.641145682e+02 8.0e-05 0.16
15 5.8e-02 1.6e-01 3.3e+00 9.94e-01 1.652792674e+02 2.911850936e+02 2.8e-05 0.17
16 3.3e-02 1.4e-01 1.9e+00 1.00e+00 2.032349806e+02 2.745517815e+02 1.6e-05 0.19
17 4.6e-03 2.1e-01 2.9e-01 1.00e+00 2.458601979e+02 2.569052088e+02 2.6e-06 0.20
18 1.3e-03 1.4e-01 8.6e-02 1.00e+00 2.513276389e+02 2.546006416e+02 7.8e-07 0.21
19 4.6e-04 1.1e-01 3.0e-02 1.00e+00 2.528755707e+02 2.540040947e+02 2.7e-07 0.22
20 1.8e-04 9.1e-02 1.2e-02 1.00e+00 2.533597014e+02 2.538150010e+02 1.1e-07 0.23
21 1.7e-04 8.2e-02 1.1e-02 1.00e+00 2.533933866e+02 2.538031620e+02 9.9e-08 0.24
22 1.5e-04 7.5e-02 9.7e-03 1.00e+00 2.534228246e+02 2.537915997e+02 8.9e-08 0.25
23 1.3e-04 6.8e-02 8.7e-03 1.00e+00 2.534493464e+02 2.537812275e+02 8.0e-08 0.26
24 1.2e-04 6.2e-02 7.8e-03 1.00e+00 2.534731930e+02 2.537718722e+02 7.2e-08 0.26
25 1.1e-04 5.6e-02 7.1e-03 1.00e+00 2.534946426e+02 2.537634424e+02 6.5e-08 0.28
26 9.8e-05 5.2e-02 6.4e-03 1.00e+00 2.535139347e+02 2.537558453e+02 5.8e-08 0.29
27 8.8e-05 4.7e-02 5.7e-03 1.00e+00 2.535312881e+02 2.537490000e+02 5.3e-08 0.30
28 7.9e-05 4.3e-02 5.1e-03 1.00e+00 2.535468982e+02 2.537428327e+02 4.7e-08 0.30
29 7.1e-05 4.0e-02 4.6e-03 1.00e+00 2.535609408e+02 2.537372768e+02 4.3e-08 0.31
30 6.4e-05 3.6e-02 4.2e-03 1.00e+00 2.535735736e+02 2.537322719e+02 3.8e-08 0.32
31 5.8e-05 3.4e-02 3.8e-03 1.00e+00 2.535849385e+02 2.537277637e+02 3.5e-08 0.33
32 5.2e-05 3.1e-02 3.4e-03 1.00e+00 2.535951630e+02 2.537237031e+02 3.1e-08 0.34
33 4.7e-05 2.9e-02 3.0e-03 1.00e+00 2.536043618e+02 2.537200458e+02 2.8e-08 0.35
34 4.2e-05 2.7e-02 2.7e-03 1.00e+00 2.536126378e+02 2.537167517e+02 2.5e-08 0.36
35 3.8e-05 2.5e-02 2.5e-03 1.00e+00 2.536200838e+02 2.537137851e+02 2.3e-08 0.37
36 3.4e-05 2.3e-02 2.2e-03 1.00e+00 2.536267832e+02 2.537111133e+02 2.0e-08 0.38
37 3.1e-05 2.1e-02 2.0e-03 1.00e+00 2.536328109e+02 2.537087072e+02 1.8e-08 0.40
38 2.8e-05 2.0e-02 1.8e-03 1.00e+00 2.536382344e+02 2.537065405e+02 1.7e-08 0.41
39 2.5e-05 1.9e-02 1.6e-03 1.00e+00 2.536431143e+02 2.537045893e+02 1.5e-08 0.41
40 2.2e-05 1.8e-02 1.5e-03 1.00e+00 2.536475051e+02 2.537028323e+02 1.3e-08 0.42
41 2.0e-05 1.7e-02 1.3e-03 1.00e+00 2.536514561e+02 2.537012503e+02 1.2e-08 0.44
42 1.8e-05 1.6e-02 1.2e-03 1.00e+00 2.536550112e+02 2.536998258e+02 1.1e-08 0.45
43 1.6e-05 1.5e-02 1.1e-03 1.00e+00 2.536582102e+02 2.536985432e+02 9.8e-09 0.46
44 1.5e-05 1.4e-02 9.5e-04 1.00e+00 2.536610889e+02 2.536973885e+02 8.8e-09 0.48
45 1.3e-05 1.4e-02 8.6e-04 1.00e+00 2.536636793e+02 2.536963489e+02 7.9e-09 0.49
46 1.2e-05 1.3e-02 7.7e-04 1.00e+00 2.536660103e+02 2.536954129e+02 7.1e-09 0.50
47 1.1e-05 1.2e-02 7.0e-04 1.00e+00 2.536681080e+02 2.536945703e+02 6.4e-09 0.51
48 9.6e-06 1.2e-02 6.3e-04 1.00e+00 2.536699957e+02 2.536938118e+02 5.8e-09 0.52
49 8.7e-06 1.2e-02 5.6e-04 1.00e+00 2.536716945e+02 2.536931290e+02 5.2e-09 0.53
50 7.8e-06 1.1e-02 5.1e-04 1.00e+00 2.536732232e+02 2.536925143e+02 4.7e-09 0.54
51 7.0e-06 1.1e-02 4.6e-04 1.00e+00 2.536745990e+02 2.536919610e+02 4.2e-09 0.55
52 6.3e-06 1.0e-02 4.1e-04 1.00e+00 2.536758371e+02 2.536914629e+02 3.8e-09 0.56
53 5.7e-06 1.0e-02 3.7e-04 1.00e+00 2.536769513e+02 2.536910146e+02 3.4e-09 0.57
54 5.1e-06 9.9e-03 3.3e-04 1.00e+00 2.536779540e+02 2.536906110e+02 3.1e-09 0.58
55 4.6e-06 9.7e-03 3.0e-04 1.00e+00 2.536788564e+02 2.536902477e+02 2.8e-09 0.59
56 4.1e-06 9.5e-03 2.7e-04 1.00e+00 2.536796685e+02 2.536899207e+02 2.5e-09 0.61
57 3.7e-06 9.3e-03 2.4e-04 1.00e+00 2.536803993e+02 2.536896263e+02 2.2e-09 0.61
58 3.4e-06 9.1e-03 2.2e-04 1.00e+00 2.536810570e+02 2.536893613e+02 2.0e-09 0.63
59 3.0e-06 8.9e-03 2.0e-04 1.00e+00 2.536816489e+02 2.536891228e+02 1.8e-09 0.64
60 1.2e-06 3.4e-03 7.6e-05 1.00e+00 2.536849211e+02 2.536878032e+02 7.0e-10 0.65
61 1.0e-06 3.1e-03 6.8e-05 1.00e+00 2.536851269e+02 2.536877209e+02 6.3e-10 0.66
62 3.7e-07 1.1e-03 2.4e-05 1.00e+00 2.536863131e+02 2.536872421e+02 2.2e-10 0.68
63 3.4e-07 1.0e-03 2.2e-05 1.00e+00 2.536863794e+02 2.536872155e+02 2.0e-10 0.69
64 3.0e-07 9.0e-04 2.0e-05 1.00e+00 2.536864389e+02 2.536871914e+02 1.8e-10 0.70
65 2.7e-07 8.1e-04 1.8e-05 1.00e+00 2.536864925e+02 2.536871697e+02 1.6e-10 0.71
66 2.5e-07 7.3e-04 1.6e-05 1.00e+00 2.536865407e+02 2.536871503e+02 1.5e-10 0.71
67 2.2e-07 6.6e-04 1.4e-05 1.00e+00 2.536865841e+02 2.536871327e+02 1.3e-10 0.73
68 2.0e-07 5.9e-04 1.3e-05 1.00e+00 2.536866232e+02 2.536871169e+02 1.2e-10 0.74
69 1.8e-07 5.3e-04 1.2e-05 1.00e+00 2.536866583e+02 2.536871027e+02 1.1e-10 0.75
70 1.6e-07 4.8e-04 1.1e-05 1.00e+00 2.536866900e+02 2.536870899e+02 9.7e-11 0.75
71 1.5e-07 4.3e-04 9.5e-06 1.00e+00 2.536867185e+02 2.536870784e+02 8.7e-11 0.76
72 1.3e-07 3.9e-04 8.5e-06 1.00e+00 2.536867441e+02 2.536870680e+02 7.8e-11 0.77
73 1.2e-07 3.5e-04 7.7e-06 1.00e+00 2.536867672e+02 2.536870587e+02 7.1e-11 0.78
74 1.1e-07 3.1e-04 6.9e-06 1.00e+00 2.536867879e+02 2.536870503e+02 6.3e-11 0.79
75 9.5e-08 2.8e-04 6.2e-06 1.00e+00 2.536868066e+02 2.536870427e+02 5.7e-11 0.80
76 8.6e-08 2.5e-04 5.6e-06 1.00e+00 2.536868234e+02 2.536870359e+02 5.1e-11 0.81
77 7.7e-08 2.3e-04 5.0e-06 1.00e+00 2.536868385e+02 2.536870298e+02 4.6e-11 0.82
78 6.9e-08 2.1e-04 4.5e-06 1.00e+00 2.536868521e+02 2.536870243e+02 4.2e-11 0.83
79 6.3e-08 1.9e-04 4.1e-06 1.00e+00 2.536868644e+02 2.536870193e+02 3.7e-11 0.84
80 5.6e-08 1.7e-04 3.7e-06 1.00e+00 2.536868754e+02 2.536870149e+02 3.4e-11 0.86
81 5.1e-08 1.5e-04 3.3e-06 1.00e+00 2.536868854e+02 2.536870109e+02 3.0e-11 0.86
82 4.6e-08 1.3e-04 3.0e-06 1.00e+00 2.536868943e+02 2.536870072e+02 2.7e-11 0.87
83 4.1e-08 1.2e-04 2.7e-06 1.00e+00 2.536869023e+02 2.536870040e+02 2.5e-11 0.89
84 3.7e-08 1.1e-04 2.4e-06 1.00e+00 2.536869096e+02 2.536870010e+02 2.2e-11 0.90
85 3.3e-08 9.8e-05 2.2e-06 1.00e+00 2.536869161e+02 2.536869984e+02 2.0e-11 0.90
86 3.0e-08 8.8e-05 1.9e-06 1.00e+00 2.536869219e+02 2.536869960e+02 1.8e-11 0.91
87 2.7e-08 8.0e-05 1.8e-06 1.00e+00 2.536869272e+02 2.536869939e+02 1.6e-11 0.92
88 2.4e-08 7.2e-05 1.6e-06 1.00e+00 2.536869319e+02 2.536869920e+02 1.5e-11 0.94
89 2.2e-08 6.5e-05 1.4e-06 1.00e+00 2.536869362e+02 2.536869902e+02 1.3e-11 0.94
90 2.0e-08 5.8e-05 1.3e-06 1.00e+00 2.536869401e+02 2.536869887e+02 1.2e-11 0.95
91 1.8e-08 5.2e-05 1.1e-06 1.00e+00 2.536869435e+02 2.536869873e+02 1.1e-11 0.96
92 1.6e-08 4.7e-05 1.0e-06 1.00e+00 2.536869466e+02 2.536869860e+02 9.5e-12 0.97
93 1.4e-08 4.2e-05 9.3e-07 1.00e+00 2.536869494e+02 2.536869849e+02 8.6e-12 0.98
94 1.3e-08 3.8e-05 8.4e-07 1.00e+00 2.536869520e+02 2.536869839e+02 7.7e-12 0.99
95 1.2e-08 3.4e-05 7.5e-07 1.00e+00 2.536869542e+02 2.536869829e+02 6.9e-12 1.00
96 1.0e-08 3.1e-05 6.8e-07 1.00e+00 2.536869563e+02 2.536869821e+02 6.2e-12 1.01
97 9.4e-09 2.8e-05 6.1e-07 1.00e+00 2.536869581e+02 2.536869814e+02 5.6e-12 1.02
Optimizer terminated. Time: 1.02
solsta = 1, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : OPTIMAL
Primal. obj: 2.5368695810e+02 nrm: 4e+01 Viol. con: 2e-07 var: 0e+00
Dual. obj: 2.5368698136e+02 nrm: 8e+02 Viol. con: 0e+00 var: 2e-04
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.04 seconds.
Using solver 'mosek'
Solving for 1768 variables.
MOSEK warning 710: #1 (nearly) zero elements are specified in sparse col '' (450) of matrix 'A'.
Number of Hessian non-zeros: 2054
* Solving exponential optimization problem on dual form. *
* The following log information refers to the solution of the dual problem. *
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer started.
Presolve started.
Linear dependency checker started.
Linear dependency checker terminated.
Eliminator started.
Freed constraints in eliminator : 476
Eliminator terminated.
Eliminator started.
Freed constraints in eliminator : 6
Eliminator terminated.
Eliminator - tries : 2 time : 0.00
Lin. dep. - tries : 1 time : 0.00
Lin. dep. - number : 0
Presolve terminated. Time: 0.01
Matrix reordering started.
Local matrix reordering started.
Local matrix reordering terminated.
Matrix reordering terminated.
Problem
Name :
Objective sense : max
Type : GECO (general convex optimization problem)
Constraints : 1769
Cones : 0
Scalar variables : 6131
Matrix variables : 0
Integer variables : 0
Optimizer - threads : 8
Optimizer - solved problem : the primal
Optimizer - Constraints : 879
Optimizer - Cones : 0
Optimizer - Scalar variables : 3468 conic : 0
Optimizer - Semi-definite variables: 0 scalarized : 0
Factor - setup time : 0.03 dense det. time : 0.00
Factor - ML order time : 0.00 GP order time : 0.02
Factor - nonzeros before factor : 1.49e+04 after factor : 1.56e+05
Factor - dense dim. : 0 flops : 3.19e+07
Factor - GP saved nzs : 3.36e+04 GP saved flops : 9.32e+05
ITE PFEAS DFEAS GFEAS PRSTATUS POBJ DOBJ MU TIME
0 2.3e+03 3.0e+03 1.2e+05 0.00e+00 -1.219705586e+05 2.000000000e+00 1.0e+00 0.04
1 1.6e+03 2.1e+03 8.4e+04 -9.71e-01 -1.211031020e+05 2.765533663e+00 6.9e-01 0.05
2 7.8e+02 1.0e+03 4.2e+04 -9.57e-01 -1.183621946e+05 5.379607955e+00 3.4e-01 0.05
3 2.9e+02 3.8e+02 1.6e+04 -9.11e-01 -1.100271642e+05 2.234927157e+01 1.3e-01 0.06
4 2.9e+02 3.8e+02 1.6e+04 -7.69e-01 -1.081090538e+05 1.691198782e+03 1.3e-01 0.07
5 1.2e+02 1.6e+02 6.6e+03 -7.61e-01 -8.730500726e+04 6.170178286e+03 5.4e-02 0.08
6 3.9e+01 5.1e+01 2.1e+03 -4.57e-01 -4.641557494e+04 1.102767695e+04 1.7e-02 0.09
7 2.3e+01 3.0e+01 1.2e+03 2.33e-01 -3.095362448e+04 7.311515434e+03 1.0e-02 0.10
8 9.3e+00 1.2e+01 5.0e+02 5.26e-01 -1.383958025e+04 4.015287293e+03 4.1e-03 0.11
9 6.1e+00 7.9e+00 3.2e+02 8.28e-01 -9.007628044e+03 2.852555853e+03 2.7e-03 0.12
10 2.1e+00 2.7e+00 1.1e+02 9.03e-01 -3.047258165e+03 1.195224977e+03 9.4e-04 0.14
11 1.6e+00 2.0e+00 8.5e+01 9.77e-01 -2.209373100e+03 9.993568394e+02 7.0e-04 0.14
12 1.0e+00 1.4e+00 5.6e+01 9.78e-01 -1.412745572e+03 7.362078430e+02 4.7e-04 0.15
13 4.1e-01 7.0e-01 2.2e+01 9.86e-01 -4.532334049e+02 3.966890953e+02 1.9e-04 0.16
14 2.4e-01 4.3e-01 1.3e+01 1.00e+00 -1.803313668e+02 3.208030866e+02 1.1e-04 0.17
15 7.5e-02 4.3e-01 4.2e+00 1.00e+00 5.907667930e+01 2.194258788e+02 3.6e-05 0.18
16 2.7e-02 1.8e-01 1.5e+00 1.01e+00 1.312032677e+02 1.889662771e+02 1.3e-05 0.19
17 8.9e-03 1.1e-01 5.2e-01 1.01e+00 1.583140177e+02 1.780792062e+02 4.6e-06 0.20
18 3.5e-03 9.8e-02 2.1e-01 1.01e+00 1.668085083e+02 1.746024948e+02 1.8e-06 0.21
19 9.2e-04 1.2e-01 5.6e-02 1.01e+00 1.708677782e+02 1.729897946e+02 5.1e-07 0.21
20 3.1e-04 1.0e-01 1.9e-02 1.00e+00 1.718819279e+02 1.726108386e+02 1.8e-07 0.23
21 1.1e-04 1.0e-01 7.1e-03 9.98e-01 1.722145287e+02 1.724820216e+02 6.5e-08 0.24
22 3.7e-05 1.0e-01 2.4e-03 9.99e-01 1.723408997e+02 1.724300134e+02 2.2e-08 0.25
23 3.4e-05 9.2e-02 2.1e-03 1.00e+00 1.723477057e+02 1.724279165e+02 1.9e-08 0.26
24 3.0e-05 8.4e-02 1.9e-03 1.00e+00 1.723534337e+02 1.724256231e+02 1.8e-08 0.27
25 2.7e-05 7.6e-02 1.7e-03 1.00e+00 1.723585613e+02 1.724235306e+02 1.6e-08 0.28
26 2.5e-05 7.0e-02 1.6e-03 1.00e+00 1.723631653e+02 1.724216358e+02 1.4e-08 0.29
27 2.2e-05 6.3e-02 1.4e-03 1.00e+00 1.723673034e+02 1.724199249e+02 1.3e-08 0.30
28 2.0e-05 5.8e-02 1.3e-03 1.00e+00 1.723710236e+02 1.724183812e+02 1.2e-08 0.31
29 1.8e-05 5.3e-02 1.1e-03 1.00e+00 1.723743688e+02 1.724169890e+02 1.0e-08 0.32
30 1.6e-05 4.8e-02 1.0e-03 1.00e+00 1.723773770e+02 1.724157339e+02 9.3e-09 0.33
31 1.5e-05 4.4e-02 9.2e-04 1.00e+00 1.723800823e+02 1.724146024e+02 8.4e-09 0.34
32 1.3e-05 4.1e-02 8.2e-04 1.00e+00 1.723825154e+02 1.724135826e+02 7.6e-09 0.35
33 1.2e-05 3.7e-02 7.4e-04 1.00e+00 1.723847038e+02 1.724126634e+02 6.8e-09 0.36
34 1.1e-05 3.4e-02 6.7e-04 1.00e+00 1.723866721e+02 1.724118351e+02 6.1e-09 0.36
35 9.5e-06 3.2e-02 6.0e-04 1.00e+00 1.723884426e+02 1.724110887e+02 5.5e-09 0.38
36 8.6e-06 2.9e-02 5.4e-04 1.00e+00 1.723900351e+02 1.724104163e+02 5.0e-09 0.39
37 7.7e-06 2.7e-02 4.9e-04 1.00e+00 1.723914678e+02 1.724098104e+02 4.5e-09 0.40
38 6.9e-06 2.5e-02 4.4e-04 1.00e+00 1.723927565e+02 1.724092646e+02 4.0e-09 0.41
39 6.3e-06 2.4e-02 3.9e-04 1.00e+00 1.723939159e+02 1.724087729e+02 3.6e-09 0.42
40 5.6e-06 2.2e-02 3.5e-04 1.00e+00 1.723949589e+02 1.724083301e+02 3.3e-09 0.44
41 5.1e-06 2.1e-02 3.2e-04 1.00e+00 1.723958973e+02 1.724079312e+02 2.9e-09 0.45
42 4.6e-06 1.9e-02 2.9e-04 1.00e+00 1.723967416e+02 1.724075719e+02 2.6e-09 0.46
43 4.1e-06 1.8e-02 2.6e-04 1.00e+00 1.723975012e+02 1.724072484e+02 2.4e-09 0.47
44 3.7e-06 1.7e-02 2.3e-04 1.00e+00 1.723981846e+02 1.724069570e+02 2.1e-09 0.49
45 3.3e-06 1.6e-02 2.1e-04 1.00e+00 1.723987995e+02 1.724066946e+02 1.9e-09 0.50
46 3.0e-06 1.5e-02 1.9e-04 1.00e+00 1.723993528e+02 1.724064584e+02 1.7e-09 0.50
47 2.7e-06 1.5e-02 1.7e-04 1.00e+00 1.723998506e+02 1.724062456e+02 1.6e-09 0.52
48 2.4e-06 1.4e-02 1.5e-04 1.00e+00 1.724002985e+02 1.724060540e+02 1.4e-09 0.53
49 2.2e-06 1.3e-02 1.4e-04 1.00e+00 1.724007016e+02 1.724058815e+02 1.3e-09 0.54
50 2.0e-06 1.3e-02 1.2e-04 1.00e+00 1.724010643e+02 1.724057262e+02 1.1e-09 0.55
51 1.8e-06 1.2e-02 1.1e-04 1.00e+00 1.724013906e+02 1.724055863e+02 1.0e-09 0.56
52 1.6e-06 1.2e-02 1.0e-04 1.00e+00 1.724016843e+02 1.724054604e+02 9.2e-10 0.58
53 1.4e-06 1.1e-02 9.0e-05 1.00e+00 1.724019485e+02 1.724053470e+02 8.3e-10 0.59
54 1.3e-06 1.1e-02 8.1e-05 1.00e+00 1.724021863e+02 1.724052450e+02 7.4e-10 0.60
55 1.2e-06 1.1e-02 7.3e-05 1.00e+00 1.724024003e+02 1.724051531e+02 6.7e-10 0.60
56 1.0e-06 1.0e-02 6.6e-05 1.00e+00 1.724025928e+02 1.724050703e+02 6.0e-10 0.62
57 9.4e-07 1.0e-02 5.9e-05 1.00e+00 1.724027661e+02 1.724049959e+02 5.4e-10 0.63
58 8.4e-07 9.8e-03 5.3e-05 1.00e+00 1.724029220e+02 1.724049288e+02 4.9e-10 0.64
59 7.6e-07 9.6e-03 4.8e-05 1.00e+00 1.724030623e+02 1.724048684e+02 4.4e-10 0.65
60 6.8e-07 9.4e-03 4.3e-05 1.00e+00 1.724031886e+02 1.724048141e+02 4.0e-10 0.66
61 6.2e-07 9.2e-03 3.9e-05 1.00e+00 1.724033022e+02 1.724047651e+02 3.6e-10 0.66
62 5.5e-07 9.1e-03 3.5e-05 1.00e+00 1.724034044e+02 1.724047211e+02 3.2e-10 0.68
63 5.0e-07 8.9e-03 3.1e-05 1.00e+00 1.724034964e+02 1.724046814e+02 2.9e-10 0.69
64 4.5e-07 8.8e-03 2.8e-05 1.00e+00 1.724035792e+02 1.724046457e+02 2.6e-10 0.70
65 4.0e-07 8.7e-03 2.5e-05 1.00e+00 1.724036537e+02 1.724046135e+02 2.3e-10 0.71
66 3.6e-07 8.6e-03 2.3e-05 1.00e+00 1.724037207e+02 1.724045846e+02 2.1e-10 0.73
67 3.3e-07 8.5e-03 2.1e-05 1.00e+00 1.724037810e+02 1.724045585e+02 1.9e-10 0.74
68 2.9e-07 8.4e-03 1.9e-05 1.00e+00 1.724038353e+02 1.724045351e+02 1.7e-10 0.75
69 2.7e-07 8.3e-03 1.7e-05 1.00e+00 1.724038842e+02 1.724045140e+02 1.5e-10 0.76
70 2.4e-07 8.2e-03 1.5e-05 1.00e+00 1.724039281e+02 1.724044949e+02 1.4e-10 0.77
71 2.1e-07 8.1e-03 1.4e-05 1.00e+00 1.724039677e+02 1.724044778e+02 1.2e-10 0.78
72 1.9e-07 8.1e-03 1.2e-05 1.00e+00 1.724040033e+02 1.724044624e+02 1.1e-10 0.79
73 1.7e-07 8.0e-03 1.1e-05 1.00e+00 1.724040353e+02 1.724044485e+02 1.0e-10 0.80
74 1.6e-07 8.0e-03 9.9e-06 9.99e-01 1.724040642e+02 1.724044360e+02 9.0e-11 0.81
75 1.4e-07 7.9e-03 8.9e-06 1.00e+00 1.724040901e+02 1.724044248e+02 8.1e-11 0.82
76 1.3e-07 7.9e-03 8.0e-06 1.00e+00 1.724041135e+02 1.724044147e+02 7.3e-11 0.83
77 1.1e-07 7.8e-03 7.2e-06 1.00e+0E
======================================================================
ERROR [32.960s]: test_SPaircraft_py_mosek (gpkit.tests.from_paths.TestFiles)
----------------------------------------------------------------------
Traceback (most recent call last):
File "/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/gpkit/gpkit/tests/helpers.py", line 64, in test
testfn(name, import_dict, path)(self)
File "/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/gpkit/gpkit/tests/from_paths.py", line 51, in <lambda>
lambda self: getattr(self, name)())) # pylint:disable=undefined-variable
File "/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/gpkit/gpkit/tests/from_paths.py", line 40, in test_fn
mod.test()
File "SPaircraft.py", line 89, in test
sol = optimize_aircraft(m, substitutions, fixedBPR, pRatOpt, mutategparg)
File "SPaircraft.py", line 64, in optimize_aircraft
sol = m_relax.localsolve(verbosity=4, iteration_limit=200, reltol=0.01, mutategp=mutategparg, x0 = x0)
File "/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/gpkit/gpkit/constraints/prog_factories.py", line 124, in solvefn
result = progsolve(solver, verbosity, **kwargs)
File "/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/gpkit/gpkit/constraints/sgp.py", line 149, in localsolve
feas_constrs, None)
File "/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/gpkit/gpkit/constraints/gp.py", line 112, in __init__
+ boundstrs)
ValueError: Geometric Program is not fully bounded:
Mission1.Aircraft.Engine.EngineConstants.Relax1.R has no lower bound
Mission1.Aircraft.Engine.EngineConstants.Relax1.g has no lower bound
----------------------------------------------------------------------
Ran 1 test in 32.961s
FAILED (errors=1)
Generating XML reports...
0 1.724041344e+02 1.724044056e+02 6.6e-11 0.84
78 1.0e-07 7.8e-03 6.5e-06 1.00e+00 1.724041534e+02 1.724043974e+02 5.9e-11 0.85
79 9.2e-08 7.0e-03 5.8e-06 1.01e+00 1.724041707e+02 1.724043898e+02 5.4e-11 0.86
80 8.3e-08 6.3e-03 5.2e-06 9.98e-01 1.724041860e+02 1.724043831e+02 4.8e-11 0.87
81 7.5e-08 5.7e-03 4.7e-06 9.95e-01 1.724041998e+02 1.724043771e+02 4.3e-11 0.88
82 6.8e-08 5.1e-03 4.3e-06 9.94e-01 1.724042122e+02 1.724043717e+02 3.9e-11 0.89
83 6.1e-08 4.6e-03 3.8e-06 9.99e-01 1.724042233e+02 1.724043669e+02 3.5e-11 0.90
84 5.5e-08 4.1e-03 3.4e-06 9.99e-01 1.724042333e+02 1.724043626e+02 3.2e-11 0.91
85 4.9e-08 3.7e-03 3.1e-06 9.94e-01 1.724042423e+02 1.724043586e+02 2.8e-11 0.91
86 4.5e-08 3.4e-03 2.8e-06 9.91e-01 1.724042504e+02 1.724043551e+02 2.6e-11 0.93
87 4.0e-08 3.0e-03 2.5e-06 9.74e-01 1.724042578e+02 1.724043519e+02 2.3e-11 0.94
88 3.7e-08 2.7e-03 2.3e-06 9.78e-01 1.724042644e+02 1.724043489e+02 2.1e-11 0.95
89 3.2e-08 2.4e-03 2.0e-06 1.01e+00 1.724042705e+02 1.724043464e+02 1.9e-11 0.96
90 3.0e-08 2.2e-03 1.8e-06 1.05e+00 1.724042770e+02 1.724043434e+02 1.7e-11 0.97
91 2.7e-08 2.0e-03 1.6e-06 9.74e-01 1.724042816e+02 1.724043414e+02 1.6e-11 0.98
92 2.6e-08 1.8e-03 1.5e-06 1.01e+00 1.724042860e+02 1.724043393e+02 1.4e-11 0.99
93 2.5e-08 1.6e-03 1.3e-06 9.93e-01 1.724042898e+02 1.724043376e+02 1.3e-11 1.00
94 5.6e-08 2.3e-04 1.9e-07 7.69e-01 1.724043192e+02 1.724043264e+02 2.2e-12 1.01
95 2.7e-08 2.3e-04 1.9e-07 -1.73e+00 1.724043193e+02 1.724043245e+02 2.0e-12 1.02
96 4.0e-08 2.3e-04 2.1e-07 1.00e+00 1.724043188e+02 1.724043245e+02 2.0e-12 1.04
97 4.0e-08 2.3e-04 2.1e-07 1.03e+01 1.724043188e+02 1.724043245e+02 2.0e-12 1.05
Optimizer terminated. Time: 1.05
solsta = 7, prosta = 1
Interior-point solution summary
Problem status : PRIMAL_AND_DUAL_FEASIBLE
Solution status : NEAR_OPTIMAL
Primal. obj: 1.7240431885e+02 nrm: 4e+01 Viol. con: 8e-07 var: 0e+00
Dual. obj: 1.7240432452e+02 nrm: 8e+02 Viol. con: 0e+00 var: 1e-03
* End solution on dual form. *
Transforming to primal solution.
Solving took 1.08 seconds.
Found no installed solvers, beginning a build.
# Moving to the directory from which GPkit was imported.
Started building gpkit...
Attempting to find and build solvers:
# Looking for mosek
# Found /Users/jenkins/mosek/8/tools/platform/osx64x86/h/mosek.h
# Found /Users/jenkins/mosek/8/tools/platform/osx64x86/bin/libmosek64.8.1.dylib
# Found /Users/jenkins/mosek/8/tools/examples/c/scopt-ext.c
# Found /Users/jenkins/mosek/8/tools/examples/c/expopt.c
# Found /Users/jenkins/mosek/8/tools/examples/c/dgopt.c
# Found /Users/jenkins/mosek/8/tools/examples/c/scopt-ext.h
# Found /Users/jenkins/mosek/8/tools/examples/c/expopt.h
# Found /Users/jenkins/mosek/8/tools/examples/c/dgopt.h
# Found /Users/jenkins/mosek/8/tools/platform/osx64x86/h/mosek.h
# Found mosek version 8, installed to /Users/jenkins/mosek
#
# Building mosek...
# Replacing directory _mosek/lib
# Replacing directory _mosek/build
# Replacing directory /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/build_gpkit
#
# Copying expopt library files to _mosek/build
# Copying /Users/jenkins/mosek/8/tools/examples/c/scopt-ext.c
# Copying /Users/jenkins/mosek/8/tools/examples/c/expopt.c
# Copying /Users/jenkins/mosek/8/tools/examples/c/dgopt.c
# Copying /Users/jenkins/mosek/8/tools/examples/c/scopt-ext.h
# Copying /Users/jenkins/mosek/8/tools/examples/c/expopt.h
# Copying /Users/jenkins/mosek/8/tools/examples/c/dgopt.h
# Copying /Users/jenkins/mosek/8/tools/platform/osx64x86/h/mosek.h
#
# Applying expopt patches...
#
# Change in _mosek/build/dgopt.con line 651
# -- printf("Number of Hessian non-zeros: %d\n",nlh[0]->numhesnz);
# ++ MSK_echotask(task,MSK_STREAM_MSG,"Number of Hessian non-zeros: %d\n",n
#
# Change in _mosek/build/expopt.con line 566
# -- printf("Warning: The variable with index '%d' has only positiv
# ++ MSK_echotask(expopttask,MSK_STREAM_MSG, "Warning: The variable with in
#
# Change in _mosek/build/expopt.con line 579
# -- printf("Warning: The variable with index '%d' has only negativ
# ++ MSK_echotask(expopttask,MSK_STREAM_MSG, "Warning: The variable with in
#
# Change in _mosek/build/expopt.con line 1115
# -- printf ("solsta = %d, prosta = %d\n", (int)*solsta,(int)*prosta);
# ++ MSK_echotask(expopttask,MSK_STREAM_MSG, "solsta = %d, prosta = %d\n",
#
# Building expopt library...
# Calling 'gcc -fpic -shared -Wl,-rpath "/Users/jenkins/mosek/8/tools/platform/osx64x86/bin" _mosek/build/scopt-ext.c _mosek/build/expopt.c _mosek/build/dgopt.c "/Users/jenkins/mosek/8/tools/platform/osx64x86/bin/libmosek64.8.1.dylib" -o /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/build_gpkit/expopt.so'
##
### CALL BEGINS
### CALL ENDS
##
# Calling 'install_name_tool -change libmosek64.8.1.dylib /Users/jenkins/mosek/8/tools/platform/osx64x86/bin/libmosek64.8.1.dylib /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/build_gpkit/expopt.so'
##
### CALL BEGINS
### CALL ENDS
##
# Calling 'install_name_tool -change libmosek64.8.1.dylib @executable_path/libmosek64.8.1.dylib /Users/jenkins/mosek/8/tools/platform/osx64x86/bin/mskexpopt'
##
### CALL BEGINS
### CALL ENDS
##
#
# Building Python bindings for expopt and Mosek...
# (if this fails on Windows, verify the mingw version)
# Calling 'python modified_ctypesgen.py -a -l /Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/build_gpkit/expopt.so -l "/Users/jenkins/mosek/8/tools/platform/osx64x86/bin/libmosek64.8.1.dylib" -o _mosek/lib/expopt_h.py _mosek/build/expopt.h'
##
### CALL BEGINS
### CALL ENDS
##
# Done building mosek
# Looking for mosek_cli
# Trying to run mskexpopt...
# Calling 'mskexpopt'
##
### CALL BEGINS
### CALL ENDS
##
# Found mosek_cli in system path
# Looking for cvxopt
# Trying to import cvxopt...
# Did not find cvxopt
...finished building gpkit.
Replaced found solvers ([u'mosek', u'mosek_cli']) with environment var GPKITSOLVERS (mosek, mosek_cli)
Found the following solvers: mosek, mosek_cli
# Replacing directory env
x[:] <= w
GPkit is now installed with solver(s) [u'mosek', u'mosek_cli']
To incorporate new solvers at a later date, run `gpkit.build()`.
If any tests didn't pass, please post the output above
(starting from "Found no installed solvers, beginning a build.")
to gpkit@mit.edu or https://github.com/convexengineering/gpkit/issues/new
so we can prevent others from having these errors.
The same goes for any other bugs you encounter with GPkit:
send 'em our way, along with any interesting models, speculative features,
comments, discussions, or clarifications you feel like sharing.
Finally, we hope you find our documentation (https://gpkit.readthedocs.io/)
and engineering-design models (https://github.com/convexengineering/gplibrary/)
to be useful resources for your own applications.
Enjoy!
SETTINGS
defaultdict(<type 'str'>, {'skipsolvers': 'cvxopt, mosek_cli', 'pip install': 'git+https://github.com/hoburg/turbofan.git', 'gpkit-models branch': 'master'})
calling ['git', 'clone', '--depth', '1', '-b', 'master', 'https://github.com/convexengineering/gplibrary.git']
attempt 1
calling ['python', '/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin/pip', 'install', '--no-cache-dir', '--no-deps', '-e', 'gplibrary']
attempt 1
calling ['python', '/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin/pip', 'install', 'git+https://github.com/hoburg/turbofan.git']
attempt 1
calling ['python', '/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek/venv2_gpkit/bin/pip', 'install', '.']
attempt 1
[Execution node] check if [macys] is in [[windows10x64, windows7x64]]
Run condition [Execution node ] preventing perform for step [Execute Windows batch command]
Build step 'Console output (build log) parsing' changed build result to FAILURE
[Cobertura] Publishing Cobertura coverage report...
INFO: Starting to record.
INFO: Processing JUnit
INFO: [JUnit] - 1 test report file(s) were found with the pattern '**/test_reports/*.xml' relative to '/Users/jenkins/workspace/gpkit_ResearchModel_SPaircraft_PR/mosek' for the testing framework 'JUnit'.
INFO: Check 'Failed Tests' threshold.
INFO: The total number of tests for the threshold 'Failed Tests' exceeds the specified "failure threshold" value.
INFO: Setting the build status to FAILURE
INFO: Stopping recording.
[WS-CLEANUP] Deleting project workspace...
[WS-CLEANUP] Deferred wipeout is used...
[WS-CLEANUP] done
Finished: FAILURE
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