MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance syn20m03m
Selection of optimal configuration and parameters for a processing system selected from a superstructure containing alternative processing units and interconnections.
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 2646.95210000 (ALPHAECP) 2646.95150000 (ANTIGONE) 2646.95100300 (BARON) 3002.28890000 (BONMIN) 4126.52078500 (COUENNE) 2646.95104300 (LINDO) 2646.95129600 (SCIP) 2647.01249400 (SHOT) |
| Referencesⓘ | Duran, Marco A and Grossmann, I E, An Outer-Approximation Algorithm for a Class of Mixed-integer Nonlinear Programs, Mathematical Programming, 36:3, 1986, 307-339. Türkay, Metin and Grossmann, I E, Logic-based MINLP Algorithms for optimal synthesis of process networks, Computers and Chemical Engineering, 20:8, 1996, 959-978. |
| Sourceⓘ | Syn20M03M.gms from CMU-IBM MINLP solver project page |
| Applicationⓘ | Synthesis of processing system |
| Added to libraryⓘ | 28 Sep 2013 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 315 |
| #Binary Variablesⓘ | 120 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 42 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | max |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 102 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 699 |
| #Linear Constraintsⓘ | 657 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 42 |
| Operands in Gen. Nonlin. Functionsⓘ | log |
| Constraints curvatureⓘ | convex |
| #Nonzeros in Jacobianⓘ | 1623 |
| #Nonlinear Nonzeros in Jacobianⓘ | 42 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 42 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 42 |
| #Blocks in Hessian of Lagrangianⓘ | 42 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 1 |
| Average blocksize in Hessian of Lagrangianⓘ | 1.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 5.0000e-01 |
| Maximal coefficientⓘ | 4.3000e+02 |
| Infeasibility of initial pointⓘ | 1 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 700 34 168 498 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 316 196 120 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1726 1684 42 0
*
* Solve m using MINLP maximizing objvar;
Variables objvar,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18
,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35
,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52
,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69
,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86
,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102
,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115
,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128
,x129,x130,x131,x132,x133,x134,x135,x136,b137,b138,b139,b140,b141
,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154
,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167
,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180
,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193
,b194,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206
,b207,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218,b219
,b220,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231,b232
,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245
,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,x257,x258
,x259,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271
,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284
,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297
,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310
,x311,x312,x313,x314,x315,x316;
Positive Variables x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17
,x18,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34
,x35,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51
,x52,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68
,x69,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85
,x86,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101
,x102,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114
,x115,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127
,x128,x129,x130,x131,x132,x133,x134,x135,x136;
Binary Variables b137,b138,b139,b140,b141,b142,b143,b144,b145,b146,b147,b148
,b149,b150,b151,b152,b153,b154,b155,b156,b157,b158,b159,b160,b161
,b162,b163,b164,b165,b166,b167,b168,b169,b170,b171,b172,b173,b174
,b175,b176,b177,b178,b179,b180,b181,b182,b183,b184,b185,b186,b187
,b188,b189,b190,b191,b192,b193,b194,b195,b196,b197,b198,b199,b200
,b201,b202,b203,b204,b205,b206,b207,b208,b209,b210,b211,b212,b213
,b214,b215,b216,b217,b218,b219,b220,b221,b222,b223,b224,b225,b226
,b227,b228,b229,b230,b231,b232,b233,b234,b235,b236,b237,b238,b239
,b240,b241,b242,b243,b244,b245,b246,b247,b248,b249,b250,b251,b252
,b253,b254,b255,b256;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441
,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
,e481,e482,e483,e484,e485,e486,e487,e488,e489,e490,e491,e492,e493
,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
,e507,e508,e509,e510,e511,e512,e513,e514,e515,e516,e517,e518,e519
,e520,e521,e522,e523,e524,e525,e526,e527,e528,e529,e530,e531,e532
,e533,e534,e535,e536,e537,e538,e539,e540,e541,e542,e543,e544,e545
,e546,e547,e548,e549,e550,e551,e552,e553,e554,e555,e556,e557,e558
,e559,e560,e561,e562,e563,e564,e565,e566,e567,e568,e569,e570,e571
,e572,e573,e574,e575,e576,e577,e578,e579,e580,e581,e582,e583,e584
,e585,e586,e587,e588,e589,e590,e591,e592,e593,e594,e595,e596,e597
,e598,e599,e600,e601,e602,e603,e604,e605,e606,e607,e608,e609,e610
,e611,e612,e613,e614,e615,e616,e617,e618,e619,e620,e621,e622,e623
,e624,e625,e626,e627,e628,e629,e630,e631,e632,e633,e634,e635,e636
,e637,e638,e639,e640,e641,e642,e643,e644,e645,e646,e647,e648,e649
,e650,e651,e652,e653,e654,e655,e656,e657,e658,e659,e660,e661,e662
,e663,e664,e665,e666,e667,e668,e669,e670,e671,e672,e673,e674,e675
,e676,e677,e678,e679,e680,e681,e682,e683,e684,e685,e686,e687,e688
,e689,e690,e691,e692,e693,e694,e695,e696,e697,e698,e699,e700;
e1.. objvar + x2 + x3 + x4 - 5*x20 - 10*x21 - 5*x22 + 2*x35 + x36 + 2*x37
+ 10*x86 + 5*x87 + 5*x88 + 5*x89 + 5*x90 + 5*x91 - 80*x110 - 130*x111
- 215*x112 - 110*x113 - 120*x114 - 125*x115 - 110*x116 - 130*x117
- 140*x118 - 80*x119 - 90*x120 - 120*x121 - 285*x122 - 390*x123
- 350*x124 - 290*x125 - 405*x126 - 190*x127 - 280*x128 - 400*x129
- 430*x130 - 290*x131 - 300*x132 - 240*x133 - 350*x134 - 250*x135
- 300*x136 + 5*b197 + 4*b198 + 6*b199 + 8*b200 + 7*b201 + 6*b202 + 6*b203
+ 9*b204 + 4*b205 + 10*b206 + 9*b207 + 5*b208 + 6*b209 + 10*b210 + 6*b211
+ 7*b212 + 7*b213 + 4*b214 + 4*b215 + 3*b216 + 2*b217 + 5*b218 + 6*b219
+ 7*b220 + 2*b221 + 5*b222 + 2*b223 + 4*b224 + 7*b225 + 4*b226 + 3*b227
+ 9*b228 + 3*b229 + 7*b230 + 2*b231 + 9*b232 + 3*b233 + b234 + 9*b235
+ 2*b236 + 6*b237 + 3*b238 + 4*b239 + 8*b240 + b241 + 2*b242 + 5*b243
+ 2*b244 + 3*b245 + 4*b246 + 3*b247 + 5*b248 + 7*b249 + 6*b250 + 2*b251
+ 8*b252 + 4*b253 + b254 + 4*b255 + b256 =E= 0;
e2.. x2 - x5 - x8 =E= 0;
e3.. x3 - x6 - x9 =E= 0;
e4.. x4 - x7 - x10 =E= 0;
e5.. - x11 - x14 + x17 =E= 0;
e6.. - x12 - x15 + x18 =E= 0;
e7.. - x13 - x16 + x19 =E= 0;
e8.. x17 - x20 - x23 =E= 0;
e9.. x18 - x21 - x24 =E= 0;
e10.. x19 - x22 - x25 =E= 0;
e11.. x23 - x26 - x29 - x32 =E= 0;
e12.. x24 - x27 - x30 - x33 =E= 0;
e13.. x25 - x28 - x31 - x34 =E= 0;
e14.. x38 - x47 - x50 =E= 0;
e15.. x39 - x48 - x51 =E= 0;
e16.. x40 - x49 - x52 =E= 0;
e17.. x44 - x53 - x56 - x59 =E= 0;
e18.. x45 - x54 - x57 - x60 =E= 0;
e19.. x46 - x55 - x58 - x61 =E= 0;
e20.. x68 - x80 - x83 =E= 0;
e21.. x69 - x81 - x84 =E= 0;
e22.. x70 - x82 - x85 =E= 0;
e23.. - x71 - x89 + x92 =E= 0;
e24.. - x72 - x90 + x93 =E= 0;
e25.. - x73 - x91 + x94 =E= 0;
e26.. x74 - x95 - x98 =E= 0;
e27.. x75 - x96 - x99 =E= 0;
e28.. x76 - x97 - x100 =E= 0;
e29.. x77 - x101 - x104 - x107 =E= 0;
e30.. x78 - x102 - x105 - x108 =E= 0;
e31.. x79 - x103 - x106 - x109 =E= 0;
e32.. -log(1 + x5) + x11 + b137 =L= 1;
e33.. -log(1 + x6) + x12 + b138 =L= 1;
e34.. -log(1 + x7) + x13 + b139 =L= 1;
e35.. x5 - 40*b137 =L= 0;
e36.. x6 - 40*b138 =L= 0;
e37.. x7 - 40*b139 =L= 0;
e38.. x11 - 3.71357206670431*b137 =L= 0;
e39.. x12 - 3.71357206670431*b138 =L= 0;
e40.. x13 - 3.71357206670431*b139 =L= 0;
e41.. -1.2*log(1 + x8) + x14 + b140 =L= 1;
e42.. -1.2*log(1 + x9) + x15 + b141 =L= 1;
e43.. -1.2*log(1 + x10) + x16 + b142 =L= 1;
e44.. x8 - 40*b140 =L= 0;
e45.. x9 - 40*b141 =L= 0;
e46.. x10 - 40*b142 =L= 0;
e47.. x14 - 4.45628648004517*b140 =L= 0;
e48.. x15 - 4.45628648004517*b141 =L= 0;
e49.. x16 - 4.45628648004517*b142 =L= 0;
e50.. - 0.75*x26 + x38 + b143 =L= 1;
e51.. - 0.75*x27 + x39 + b144 =L= 1;
e52.. - 0.75*x28 + x40 + b145 =L= 1;
e53.. - 0.75*x26 + x38 - b143 =G= -1;
e54.. - 0.75*x27 + x39 - b144 =G= -1;
e55.. - 0.75*x28 + x40 - b145 =G= -1;
e56.. x26 - 4.45628648004517*b143 =L= 0;
e57.. x27 - 4.45628648004517*b144 =L= 0;
e58.. x28 - 4.45628648004517*b145 =L= 0;
e59.. x38 - 3.34221486003388*b143 =L= 0;
e60.. x39 - 3.34221486003388*b144 =L= 0;
e61.. x40 - 3.34221486003388*b145 =L= 0;
e62.. -1.5*log(1 + x29) + x41 + b146 =L= 1;
e63.. -1.5*log(1 + x30) + x42 + b147 =L= 1;
e64.. -1.5*log(1 + x31) + x43 + b148 =L= 1;
e65.. x29 - 4.45628648004517*b146 =L= 0;
e66.. x30 - 4.45628648004517*b147 =L= 0;
e67.. x31 - 4.45628648004517*b148 =L= 0;
e68.. x41 - 2.54515263975353*b146 =L= 0;
e69.. x42 - 2.54515263975353*b147 =L= 0;
e70.. x43 - 2.54515263975353*b148 =L= 0;
e71.. - x32 + x44 + b149 =L= 1;
e72.. - x33 + x45 + b150 =L= 1;
e73.. - x34 + x46 + b151 =L= 1;
e74.. - x32 + x44 - b149 =G= -1;
e75.. - x33 + x45 - b150 =G= -1;
e76.. - x34 + x46 - b151 =G= -1;
e77.. - 0.5*x35 + x44 + b149 =L= 1;
e78.. - 0.5*x36 + x45 + b150 =L= 1;
e79.. - 0.5*x37 + x46 + b151 =L= 1;
e80.. - 0.5*x35 + x44 - b149 =G= -1;
e81.. - 0.5*x36 + x45 - b150 =G= -1;
e82.. - 0.5*x37 + x46 - b151 =G= -1;
e83.. x32 - 4.45628648004517*b149 =L= 0;
e84.. x33 - 4.45628648004517*b150 =L= 0;
e85.. x34 - 4.45628648004517*b151 =L= 0;
e86.. x35 - 30*b149 =L= 0;
e87.. x36 - 30*b150 =L= 0;
e88.. x37 - 30*b151 =L= 0;
e89.. x44 - 15*b149 =L= 0;
e90.. x45 - 15*b150 =L= 0;
e91.. x46 - 15*b151 =L= 0;
e92.. -1.25*log(1 + x47) + x62 + b152 =L= 1;
e93.. -1.25*log(1 + x48) + x63 + b153 =L= 1;
e94.. -1.25*log(1 + x49) + x64 + b154 =L= 1;
e95.. x47 - 3.34221486003388*b152 =L= 0;
e96.. x48 - 3.34221486003388*b153 =L= 0;
e97.. x49 - 3.34221486003388*b154 =L= 0;
e98.. x62 - 1.83548069293539*b152 =L= 0;
e99.. x63 - 1.83548069293539*b153 =L= 0;
e100.. x64 - 1.83548069293539*b154 =L= 0;
e101.. -0.9*log(1 + x50) + x65 + b155 =L= 1;
e102.. -0.9*log(1 + x51) + x66 + b156 =L= 1;
e103.. -0.9*log(1 + x52) + x67 + b157 =L= 1;
e104.. x50 - 3.34221486003388*b155 =L= 0;
e105.. x51 - 3.34221486003388*b156 =L= 0;
e106.. x52 - 3.34221486003388*b157 =L= 0;
e107.. x65 - 1.32154609891348*b155 =L= 0;
e108.. x66 - 1.32154609891348*b156 =L= 0;
e109.. x67 - 1.32154609891348*b157 =L= 0;
e110.. -log(1 + x41) + x68 + b158 =L= 1;
e111.. -log(1 + x42) + x69 + b159 =L= 1;
e112.. -log(1 + x43) + x70 + b160 =L= 1;
e113.. x41 - 2.54515263975353*b158 =L= 0;
e114.. x42 - 2.54515263975353*b159 =L= 0;
e115.. x43 - 2.54515263975353*b160 =L= 0;
e116.. x68 - 1.26558121681553*b158 =L= 0;
e117.. x69 - 1.26558121681553*b159 =L= 0;
e118.. x70 - 1.26558121681553*b160 =L= 0;
e119.. - 0.9*x53 + x71 + b161 =L= 1;
e120.. - 0.9*x54 + x72 + b162 =L= 1;
e121.. - 0.9*x55 + x73 + b163 =L= 1;
e122.. - 0.9*x53 + x71 - b161 =G= -1;
e123.. - 0.9*x54 + x72 - b162 =G= -1;
e124.. - 0.9*x55 + x73 - b163 =G= -1;
e125.. x53 - 15*b161 =L= 0;
e126.. x54 - 15*b162 =L= 0;
e127.. x55 - 15*b163 =L= 0;
e128.. x71 - 13.5*b161 =L= 0;
e129.. x72 - 13.5*b162 =L= 0;
e130.. x73 - 13.5*b163 =L= 0;
e131.. - 0.6*x56 + x74 + b164 =L= 1;
e132.. - 0.6*x57 + x75 + b165 =L= 1;
e133.. - 0.6*x58 + x76 + b166 =L= 1;
e134.. - 0.6*x56 + x74 - b164 =G= -1;
e135.. - 0.6*x57 + x75 - b165 =G= -1;
e136.. - 0.6*x58 + x76 - b166 =G= -1;
e137.. x56 - 15*b164 =L= 0;
e138.. x57 - 15*b165 =L= 0;
e139.. x58 - 15*b166 =L= 0;
e140.. x74 - 9*b164 =L= 0;
e141.. x75 - 9*b165 =L= 0;
e142.. x76 - 9*b166 =L= 0;
e143.. -1.1*log(1 + x59) + x77 + b167 =L= 1;
e144.. -1.1*log(1 + x60) + x78 + b168 =L= 1;
e145.. -1.1*log(1 + x61) + x79 + b169 =L= 1;
e146.. x59 - 15*b167 =L= 0;
e147.. x60 - 15*b168 =L= 0;
e148.. x61 - 15*b169 =L= 0;
e149.. x77 - 3.04984759446376*b167 =L= 0;
e150.. x78 - 3.04984759446376*b168 =L= 0;
e151.. x79 - 3.04984759446376*b169 =L= 0;
e152.. - 0.9*x62 + x110 + b170 =L= 1;
e153.. - 0.9*x63 + x111 + b171 =L= 1;
e154.. - 0.9*x64 + x112 + b172 =L= 1;
e155.. - 0.9*x62 + x110 - b170 =G= -1;
e156.. - 0.9*x63 + x111 - b171 =G= -1;
e157.. - 0.9*x64 + x112 - b172 =G= -1;
e158.. - x86 + x110 + b170 =L= 1;
e159.. - x87 + x111 + b171 =L= 1;
e160.. - x88 + x112 + b172 =L= 1;
e161.. - x86 + x110 - b170 =G= -1;
e162.. - x87 + x111 - b171 =G= -1;
e163.. - x88 + x112 - b172 =G= -1;
e164.. x62 - 1.83548069293539*b170 =L= 0;
e165.. x63 - 1.83548069293539*b171 =L= 0;
e166.. x64 - 1.83548069293539*b172 =L= 0;
e167.. x86 - 20*b170 =L= 0;
e168.. x87 - 20*b171 =L= 0;
e169.. x88 - 20*b172 =L= 0;
e170.. x110 - 20*b170 =L= 0;
e171.. x111 - 20*b171 =L= 0;
e172.. x112 - 20*b172 =L= 0;
e173.. -log(1 + x65) + x113 + b173 =L= 1;
e174.. -log(1 + x66) + x114 + b174 =L= 1;
e175.. -log(1 + x67) + x115 + b175 =L= 1;
e176.. x65 - 1.32154609891348*b173 =L= 0;
e177.. x66 - 1.32154609891348*b174 =L= 0;
e178.. x67 - 1.32154609891348*b175 =L= 0;
e179.. x113 - 0.842233385663186*b173 =L= 0;
e180.. x114 - 0.842233385663186*b174 =L= 0;
e181.. x115 - 0.842233385663186*b175 =L= 0;
e182.. -0.7*log(1 + x80) + x116 + b176 =L= 1;
e183.. -0.7*log(1 + x81) + x117 + b177 =L= 1;
e184.. -0.7*log(1 + x82) + x118 + b178 =L= 1;
e185.. x80 - 1.26558121681553*b176 =L= 0;
e186.. x81 - 1.26558121681553*b177 =L= 0;
e187.. x82 - 1.26558121681553*b178 =L= 0;
e188.. x116 - 0.572481933717686*b176 =L= 0;
e189.. x117 - 0.572481933717686*b177 =L= 0;
e190.. x118 - 0.572481933717686*b178 =L= 0;
e191.. -0.65*log(1 + x83) + x119 + b179 =L= 1;
e192.. -0.65*log(1 + x84) + x120 + b180 =L= 1;
e193.. -0.65*log(1 + x85) + x121 + b181 =L= 1;
e194.. -0.65*log(1 + x92) + x119 + b179 =L= 1;
e195.. -0.65*log(1 + x93) + x120 + b180 =L= 1;
e196.. -0.65*log(1 + x94) + x121 + b181 =L= 1;
e197.. x83 - 1.26558121681553*b179 =L= 0;
e198.. x84 - 1.26558121681553*b180 =L= 0;
e199.. x85 - 1.26558121681553*b181 =L= 0;
e200.. x92 - 33.5*b179 =L= 0;
e201.. x93 - 33.5*b180 =L= 0;
e202.. x94 - 33.5*b181 =L= 0;
e203.. x119 - 2.30162356062425*b179 =L= 0;
e204.. x120 - 2.30162356062425*b180 =L= 0;
e205.. x121 - 2.30162356062425*b181 =L= 0;
e206.. - x95 + x122 + b182 =L= 1;
e207.. - x96 + x123 + b183 =L= 1;
e208.. - x97 + x124 + b184 =L= 1;
e209.. - x95 + x122 - b182 =G= -1;
e210.. - x96 + x123 - b183 =G= -1;
e211.. - x97 + x124 - b184 =G= -1;
e212.. x95 - 9*b182 =L= 0;
e213.. x96 - 9*b183 =L= 0;
e214.. x97 - 9*b184 =L= 0;
e215.. x122 - 9*b182 =L= 0;
e216.. x123 - 9*b183 =L= 0;
e217.. x124 - 9*b184 =L= 0;
e218.. - x98 + x125 + b185 =L= 1;
e219.. - x99 + x126 + b186 =L= 1;
e220.. - x100 + x127 + b187 =L= 1;
e221.. - x98 + x125 - b185 =G= -1;
e222.. - x99 + x126 - b186 =G= -1;
e223.. - x100 + x127 - b187 =G= -1;
e224.. x98 - 9*b185 =L= 0;
e225.. x99 - 9*b186 =L= 0;
e226.. x100 - 9*b187 =L= 0;
e227.. x125 - 9*b185 =L= 0;
e228.. x126 - 9*b186 =L= 0;
e229.. x127 - 9*b187 =L= 0;
e230.. -0.75*log(1 + x101) + x128 + b188 =L= 1;
e231.. -0.75*log(1 + x102) + x129 + b189 =L= 1;
e232.. -0.75*log(1 + x103) + x130 + b190 =L= 1;
e233.. x101 - 3.04984759446376*b188 =L= 0;
e234.. x102 - 3.04984759446376*b189 =L= 0;
e235.. x103 - 3.04984759446376*b190 =L= 0;
e236.. x128 - 1.04900943706034*b188 =L= 0;
e237.. x129 - 1.04900943706034*b189 =L= 0;
e238.. x130 - 1.04900943706034*b190 =L= 0;
e239.. -0.8*log(1 + x104) + x131 + b191 =L= 1;
e240.. -0.8*log(1 + x105) + x132 + b192 =L= 1;
e241.. -0.8*log(1 + x106) + x133 + b193 =L= 1;
e242.. x104 - 3.04984759446376*b191 =L= 0;
e243.. x105 - 3.04984759446376*b192 =L= 0;
e244.. x106 - 3.04984759446376*b193 =L= 0;
e245.. x131 - 1.11894339953103*b191 =L= 0;
e246.. x132 - 1.11894339953103*b192 =L= 0;
e247.. x133 - 1.11894339953103*b193 =L= 0;
e248.. -0.85*log(1 + x107) + x134 + b194 =L= 1;
e249.. -0.85*log(1 + x108) + x135 + b195 =L= 1;
e250.. -0.85*log(1 + x109) + x136 + b196 =L= 1;
e251.. x107 - 3.04984759446376*b194 =L= 0;
e252.. x108 - 3.04984759446376*b195 =L= 0;
e253.. x109 - 3.04984759446376*b196 =L= 0;
e254.. x134 - 1.18887736200171*b194 =L= 0;
e255.. x135 - 1.18887736200171*b195 =L= 0;
e256.. x136 - 1.18887736200171*b196 =L= 0;
e257.. 5*b197 + x257 =L= 0;
e258.. 4*b198 + x258 =L= 0;
e259.. 6*b199 + x259 =L= 0;
e260.. 8*b200 + x260 =L= 0;
e261.. 7*b201 + x261 =L= 0;
e262.. 6*b202 + x262 =L= 0;
e263.. 6*b203 + x263 =L= 0;
e264.. 9*b204 + x264 =L= 0;
e265.. 4*b205 + x265 =L= 0;
e266.. 10*b206 + x266 =L= 0;
e267.. 9*b207 + x267 =L= 0;
e268.. 5*b208 + x268 =L= 0;
e269.. 6*b209 + x269 =L= 0;
e270.. 10*b210 + x270 =L= 0;
e271.. 6*b211 + x271 =L= 0;
e272.. 7*b212 + x272 =L= 0;
e273.. 7*b213 + x273 =L= 0;
e274.. 4*b214 + x274 =L= 0;
e275.. 4*b215 + x275 =L= 0;
e276.. 3*b216 + x276 =L= 0;
e277.. 2*b217 + x277 =L= 0;
e278.. 5*b218 + x278 =L= 0;
e279.. 6*b219 + x279 =L= 0;
e280.. 7*b220 + x280 =L= 0;
e281.. 2*b221 + x281 =L= 0;
e282.. 5*b222 + x282 =L= 0;
e283.. 2*b223 + x283 =L= 0;
e284.. 4*b224 + x284 =L= 0;
e285.. 7*b225 + x285 =L= 0;
e286.. 4*b226 + x286 =L= 0;
e287.. 3*b227 + x287 =L= 0;
e288.. 9*b228 + x288 =L= 0;
e289.. 3*b229 + x289 =L= 0;
e290.. 7*b230 + x290 =L= 0;
e291.. 2*b231 + x291 =L= 0;
e292.. 9*b232 + x292 =L= 0;
e293.. 3*b233 + x293 =L= 0;
e294.. b234 + x294 =L= 0;
e295.. 9*b235 + x295 =L= 0;
e296.. 2*b236 + x296 =L= 0;
e297.. 6*b237 + x297 =L= 0;
e298.. 3*b238 + x298 =L= 0;
e299.. 4*b239 + x299 =L= 0;
e300.. 8*b240 + x300 =L= 0;
e301.. b241 + x301 =L= 0;
e302.. 2*b242 + x302 =L= 0;
e303.. 5*b243 + x303 =L= 0;
e304.. 2*b244 + x304 =L= 0;
e305.. 3*b245 + x305 =L= 0;
e306.. 4*b246 + x306 =L= 0;
e307.. 3*b247 + x307 =L= 0;
e308.. 5*b248 + x308 =L= 0;
e309.. 7*b249 + x309 =L= 0;
e310.. 6*b250 + x310 =L= 0;
e311.. 2*b251 + x311 =L= 0;
e312.. 8*b252 + x312 =L= 0;
e313.. 4*b253 + x313 =L= 0;
e314.. b254 + x314 =L= 0;
e315.. 4*b255 + x315 =L= 0;
e316.. b256 + x316 =L= 0;
e317.. 5*b197 + x257 =G= 0;
e318.. 4*b198 + x258 =G= 0;
e319.. 6*b199 + x259 =G= 0;
e320.. 8*b200 + x260 =G= 0;
e321.. 7*b201 + x261 =G= 0;
e322.. 6*b202 + x262 =G= 0;
e323.. 6*b203 + x263 =G= 0;
e324.. 9*b204 + x264 =G= 0;
e325.. 4*b205 + x265 =G= 0;
e326.. 10*b206 + x266 =G= 0;
e327.. 9*b207 + x267 =G= 0;
e328.. 5*b208 + x268 =G= 0;
e329.. 6*b209 + x269 =G= 0;
e330.. 10*b210 + x270 =G= 0;
e331.. 6*b211 + x271 =G= 0;
e332.. 7*b212 + x272 =G= 0;
e333.. 7*b213 + x273 =G= 0;
e334.. 4*b214 + x274 =G= 0;
e335.. 4*b215 + x275 =G= 0;
e336.. 3*b216 + x276 =G= 0;
e337.. 2*b217 + x277 =G= 0;
e338.. 5*b218 + x278 =G= 0;
e339.. 6*b219 + x279 =G= 0;
e340.. 7*b220 + x280 =G= 0;
e341.. 2*b221 + x281 =G= 0;
e342.. 5*b222 + x282 =G= 0;
e343.. 2*b223 + x283 =G= 0;
e344.. 4*b224 + x284 =G= 0;
e345.. 7*b225 + x285 =G= 0;
e346.. 4*b226 + x286 =G= 0;
e347.. 3*b227 + x287 =G= 0;
e348.. 9*b228 + x288 =G= 0;
e349.. 3*b229 + x289 =G= 0;
e350.. 7*b230 + x290 =G= 0;
e351.. 2*b231 + x291 =G= 0;
e352.. 9*b232 + x292 =G= 0;
e353.. 3*b233 + x293 =G= 0;
e354.. b234 + x294 =G= 0;
e355.. 9*b235 + x295 =G= 0;
e356.. 2*b236 + x296 =G= 0;
e357.. 6*b237 + x297 =G= 0;
e358.. 3*b238 + x298 =G= 0;
e359.. 4*b239 + x299 =G= 0;
e360.. 8*b240 + x300 =G= 0;
e361.. b241 + x301 =G= 0;
e362.. 2*b242 + x302 =G= 0;
e363.. 5*b243 + x303 =G= 0;
e364.. 2*b244 + x304 =G= 0;
e365.. 3*b245 + x305 =G= 0;
e366.. 4*b246 + x306 =G= 0;
e367.. 3*b247 + x307 =G= 0;
e368.. 5*b248 + x308 =G= 0;
e369.. 7*b249 + x309 =G= 0;
e370.. 6*b250 + x310 =G= 0;
e371.. 2*b251 + x311 =G= 0;
e372.. 8*b252 + x312 =G= 0;
e373.. 4*b253 + x313 =G= 0;
e374.. b254 + x314 =G= 0;
e375.. 4*b255 + x315 =G= 0;
e376.. b256 + x316 =G= 0;
e377.. b137 - b138 =L= 0;
e378.. b137 - b139 =L= 0;
e379.. b138 - b139 =L= 0;
e380.. b140 - b141 =L= 0;
e381.. b140 - b142 =L= 0;
e382.. b141 - b142 =L= 0;
e383.. b143 - b144 =L= 0;
e384.. b143 - b145 =L= 0;
e385.. b144 - b145 =L= 0;
e386.. b146 - b147 =L= 0;
e387.. b146 - b148 =L= 0;
e388.. b147 - b148 =L= 0;
e389.. b149 - b150 =L= 0;
e390.. b149 - b151 =L= 0;
e391.. b150 - b151 =L= 0;
e392.. b152 - b153 =L= 0;
e393.. b152 - b154 =L= 0;
e394.. b153 - b154 =L= 0;
e395.. b155 - b156 =L= 0;
e396.. b155 - b157 =L= 0;
e397.. b156 - b157 =L= 0;
e398.. b158 - b159 =L= 0;
e399.. b158 - b160 =L= 0;
e400.. b159 - b160 =L= 0;
e401.. b161 - b162 =L= 0;
e402.. b161 - b163 =L= 0;
e403.. b162 - b163 =L= 0;
e404.. b164 - b165 =L= 0;
e405.. b164 - b166 =L= 0;
e406.. b165 - b166 =L= 0;
e407.. b167 - b168 =L= 0;
e408.. b167 - b169 =L= 0;
e409.. b168 - b169 =L= 0;
e410.. b170 - b171 =L= 0;
e411.. b170 - b172 =L= 0;
e412.. b171 - b172 =L= 0;
e413.. b173 - b174 =L= 0;
e414.. b173 - b175 =L= 0;
e415.. b174 - b175 =L= 0;
e416.. b176 - b177 =L= 0;
e417.. b176 - b178 =L= 0;
e418.. b177 - b178 =L= 0;
e419.. b179 - b180 =L= 0;
e420.. b179 - b181 =L= 0;
e421.. b180 - b181 =L= 0;
e422.. b182 - b183 =L= 0;
e423.. b182 - b184 =L= 0;
e424.. b183 - b184 =L= 0;
e425.. b185 - b186 =L= 0;
e426.. b185 - b187 =L= 0;
e427.. b186 - b187 =L= 0;
e428.. b188 - b189 =L= 0;
e429.. b188 - b190 =L= 0;
e430.. b189 - b190 =L= 0;
e431.. b191 - b192 =L= 0;
e432.. b191 - b193 =L= 0;
e433.. b192 - b193 =L= 0;
e434.. b194 - b195 =L= 0;
e435.. b194 - b196 =L= 0;
e436.. b195 - b196 =L= 0;
e437.. b197 + b198 =L= 1;
e438.. b197 + b199 =L= 1;
e439.. b197 + b198 =L= 1;
e440.. b198 + b199 =L= 1;
e441.. b197 + b199 =L= 1;
e442.. b198 + b199 =L= 1;
e443.. b200 + b201 =L= 1;
e444.. b200 + b202 =L= 1;
e445.. b200 + b201 =L= 1;
e446.. b201 + b202 =L= 1;
e447.. b200 + b202 =L= 1;
e448.. b201 + b202 =L= 1;
e449.. b203 + b204 =L= 1;
e450.. b203 + b205 =L= 1;
e451.. b203 + b204 =L= 1;
e452.. b204 + b205 =L= 1;
e453.. b203 + b205 =L= 1;
e454.. b204 + b205 =L= 1;
e455.. b206 + b207 =L= 1;
e456.. b206 + b208 =L= 1;
e457.. b206 + b207 =L= 1;
e458.. b207 + b208 =L= 1;
e459.. b206 + b208 =L= 1;
e460.. b207 + b208 =L= 1;
e461.. b209 + b210 =L= 1;
e462.. b209 + b211 =L= 1;
e463.. b209 + b210 =L= 1;
e464.. b210 + b211 =L= 1;
e465.. b209 + b211 =L= 1;
e466.. b210 + b211 =L= 1;
e467.. b212 + b213 =L= 1;
e468.. b212 + b214 =L= 1;
e469.. b212 + b213 =L= 1;
e470.. b213 + b214 =L= 1;
e471.. b212 + b214 =L= 1;
e472.. b213 + b214 =L= 1;
e473.. b215 + b216 =L= 1;
e474.. b215 + b217 =L= 1;
e475.. b215 + b216 =L= 1;
e476.. b216 + b217 =L= 1;
e477.. b215 + b217 =L= 1;
e478.. b216 + b217 =L= 1;
e479.. b218 + b219 =L= 1;
e480.. b218 + b220 =L= 1;
e481.. b218 + b219 =L= 1;
e482.. b219 + b220 =L= 1;
e483.. b218 + b220 =L= 1;
e484.. b219 + b220 =L= 1;
e485.. b221 + b222 =L= 1;
e486.. b221 + b223 =L= 1;
e487.. b221 + b222 =L= 1;
e488.. b222 + b223 =L= 1;
e489.. b221 + b223 =L= 1;
e490.. b222 + b223 =L= 1;
e491.. b224 + b225 =L= 1;
e492.. b224 + b226 =L= 1;
e493.. b224 + b225 =L= 1;
e494.. b225 + b226 =L= 1;
e495.. b224 + b226 =L= 1;
e496.. b225 + b226 =L= 1;
e497.. b227 + b228 =L= 1;
e498.. b227 + b229 =L= 1;
e499.. b227 + b228 =L= 1;
e500.. b228 + b229 =L= 1;
e501.. b227 + b229 =L= 1;
e502.. b228 + b229 =L= 1;
e503.. b230 + b231 =L= 1;
e504.. b230 + b232 =L= 1;
e505.. b230 + b231 =L= 1;
e506.. b231 + b232 =L= 1;
e507.. b230 + b232 =L= 1;
e508.. b231 + b232 =L= 1;
e509.. b233 + b234 =L= 1;
e510.. b233 + b235 =L= 1;
e511.. b233 + b234 =L= 1;
e512.. b234 + b235 =L= 1;
e513.. b233 + b235 =L= 1;
e514.. b234 + b235 =L= 1;
e515.. b236 + b237 =L= 1;
e516.. b236 + b238 =L= 1;
e517.. b236 + b237 =L= 1;
e518.. b237 + b238 =L= 1;
e519.. b236 + b238 =L= 1;
e520.. b237 + b238 =L= 1;
e521.. b239 + b240 =L= 1;
e522.. b239 + b241 =L= 1;
e523.. b239 + b240 =L= 1;
e524.. b240 + b241 =L= 1;
e525.. b239 + b241 =L= 1;
e526.. b240 + b241 =L= 1;
e527.. b242 + b243 =L= 1;
e528.. b242 + b244 =L= 1;
e529.. b242 + b243 =L= 1;
e530.. b243 + b244 =L= 1;
e531.. b242 + b244 =L= 1;
e532.. b243 + b244 =L= 1;
e533.. b245 + b246 =L= 1;
e534.. b245 + b247 =L= 1;
e535.. b245 + b246 =L= 1;
e536.. b246 + b247 =L= 1;
e537.. b245 + b247 =L= 1;
e538.. b246 + b247 =L= 1;
e539.. b248 + b249 =L= 1;
e540.. b248 + b250 =L= 1;
e541.. b248 + b249 =L= 1;
e542.. b249 + b250 =L= 1;
e543.. b248 + b250 =L= 1;
e544.. b249 + b250 =L= 1;
e545.. b251 + b252 =L= 1;
e546.. b251 + b253 =L= 1;
e547.. b251 + b252 =L= 1;
e548.. b252 + b253 =L= 1;
e549.. b251 + b253 =L= 1;
e550.. b252 + b253 =L= 1;
e551.. b254 + b255 =L= 1;
e552.. b254 + b256 =L= 1;
e553.. b254 + b255 =L= 1;
e554.. b255 + b256 =L= 1;
e555.. b254 + b256 =L= 1;
e556.. b255 + b256 =L= 1;
e557.. b137 - b197 =L= 0;
e558.. - b137 + b138 - b198 =L= 0;
e559.. - b137 - b138 + b139 - b199 =L= 0;
e560.. b140 - b200 =L= 0;
e561.. - b140 + b141 - b201 =L= 0;
e562.. - b140 - b141 + b142 - b202 =L= 0;
e563.. b143 - b203 =L= 0;
e564.. - b143 + b144 - b204 =L= 0;
e565.. - b143 - b144 + b145 - b205 =L= 0;
e566.. b146 - b206 =L= 0;
e567.. - b146 + b147 - b207 =L= 0;
e568.. - b146 - b147 + b148 - b208 =L= 0;
e569.. b149 - b209 =L= 0;
e570.. - b149 + b150 - b210 =L= 0;
e571.. - b149 - b150 + b151 - b211 =L= 0;
e572.. b152 - b212 =L= 0;
e573.. - b152 + b153 - b213 =L= 0;
e574.. - b152 - b153 + b154 - b214 =L= 0;
e575.. b155 - b215 =L= 0;
e576.. - b155 + b156 - b216 =L= 0;
e577.. - b155 - b156 + b157 - b217 =L= 0;
e578.. b158 - b218 =L= 0;
e579.. - b158 + b159 - b219 =L= 0;
e580.. - b158 - b159 + b160 - b220 =L= 0;
e581.. b161 - b221 =L= 0;
e582.. - b161 + b162 - b222 =L= 0;
e583.. - b161 - b162 + b163 - b223 =L= 0;
e584.. b164 - b224 =L= 0;
e585.. - b164 + b165 - b225 =L= 0;
e586.. - b164 - b165 + b166 - b226 =L= 0;
e587.. b167 - b227 =L= 0;
e588.. - b167 + b168 - b228 =L= 0;
e589.. - b167 - b168 + b169 - b229 =L= 0;
e590.. b170 - b230 =L= 0;
e591.. - b170 + b171 - b231 =L= 0;
e592.. - b170 - b171 + b172 - b232 =L= 0;
e593.. b173 - b233 =L= 0;
e594.. - b173 + b174 - b234 =L= 0;
e595.. - b173 - b174 + b175 - b235 =L= 0;
e596.. b176 - b236 =L= 0;
e597.. - b176 + b177 - b237 =L= 0;
e598.. - b176 - b177 + b178 - b238 =L= 0;
e599.. b179 - b239 =L= 0;
e600.. - b179 + b180 - b240 =L= 0;
e601.. - b179 - b180 + b181 - b241 =L= 0;
e602.. b182 - b242 =L= 0;
e603.. - b182 + b183 - b243 =L= 0;
e604.. - b182 - b183 + b184 - b244 =L= 0;
e605.. b185 - b245 =L= 0;
e606.. - b185 + b186 - b246 =L= 0;
e607.. - b185 - b186 + b187 - b247 =L= 0;
e608.. b188 - b248 =L= 0;
e609.. - b188 + b189 - b249 =L= 0;
e610.. - b188 - b189 + b190 - b250 =L= 0;
e611.. b191 - b251 =L= 0;
e612.. - b191 + b192 - b252 =L= 0;
e613.. - b191 - b192 + b193 - b253 =L= 0;
e614.. b194 - b254 =L= 0;
e615.. - b194 + b195 - b255 =L= 0;
e616.. - b194 - b195 + b196 - b256 =L= 0;
e617.. b137 + b140 =E= 1;
e618.. b138 + b141 =E= 1;
e619.. b139 + b142 =E= 1;
e620.. - b143 + b152 + b155 =G= 0;
e621.. - b144 + b153 + b156 =G= 0;
e622.. - b145 + b154 + b157 =G= 0;
e623.. - b152 + b170 =G= 0;
e624.. - b153 + b171 =G= 0;
e625.. - b154 + b172 =G= 0;
e626.. - b155 + b173 =G= 0;
e627.. - b156 + b174 =G= 0;
e628.. - b157 + b175 =G= 0;
e629.. - b146 + b158 =G= 0;
e630.. - b147 + b159 =G= 0;
e631.. - b148 + b160 =G= 0;
e632.. - b158 + b176 + b179 =G= 0;
e633.. - b159 + b177 + b180 =G= 0;
e634.. - b160 + b178 + b181 =G= 0;
e635.. - b149 + b161 + b164 + b167 =G= 0;
e636.. - b150 + b162 + b165 + b168 =G= 0;
e637.. - b151 + b163 + b166 + b169 =G= 0;
e638.. - b161 + b179 =G= 0;
e639.. - b162 + b180 =G= 0;
e640.. - b163 + b181 =G= 0;
e641.. - b164 + b182 + b185 =G= 0;
e642.. - b165 + b183 + b186 =G= 0;
e643.. - b166 + b184 + b187 =G= 0;
e644.. - b167 + b188 + b191 + b194 =G= 0;
e645.. - b168 + b189 + b192 + b195 =G= 0;
e646.. - b169 + b190 + b193 + b196 =G= 0;
e647.. b137 + b140 - b143 =G= 0;
e648.. b138 + b141 - b144 =G= 0;
e649.. b139 + b142 - b145 =G= 0;
e650.. b137 + b140 - b146 =G= 0;
e651.. b138 + b141 - b147 =G= 0;
e652.. b139 + b142 - b148 =G= 0;
e653.. b137 + b140 - b149 =G= 0;
e654.. b138 + b141 - b150 =G= 0;
e655.. b139 + b142 - b151 =G= 0;
e656.. b143 - b152 =G= 0;
e657.. b144 - b153 =G= 0;
e658.. b145 - b154 =G= 0;
e659.. b143 - b155 =G= 0;
e660.. b144 - b156 =G= 0;
e661.. b145 - b157 =G= 0;
e662.. b146 - b158 =G= 0;
e663.. b147 - b159 =G= 0;
e664.. b148 - b160 =G= 0;
e665.. b149 - b161 =G= 0;
e666.. b150 - b162 =G= 0;
e667.. b151 - b163 =G= 0;
e668.. b149 - b164 =G= 0;
e669.. b150 - b165 =G= 0;
e670.. b151 - b166 =G= 0;
e671.. b149 - b167 =G= 0;
e672.. b150 - b168 =G= 0;
e673.. b151 - b169 =G= 0;
e674.. b152 - b170 =G= 0;
e675.. b153 - b171 =G= 0;
e676.. b154 - b172 =G= 0;
e677.. b155 - b173 =G= 0;
e678.. b156 - b174 =G= 0;
e679.. b157 - b175 =G= 0;
e680.. b158 - b176 =G= 0;
e681.. b159 - b177 =G= 0;
e682.. b160 - b178 =G= 0;
e683.. b158 - b179 =G= 0;
e684.. b159 - b180 =G= 0;
e685.. b160 - b181 =G= 0;
e686.. b164 - b182 =G= 0;
e687.. b165 - b183 =G= 0;
e688.. b166 - b184 =G= 0;
e689.. b164 - b185 =G= 0;
e690.. b165 - b186 =G= 0;
e691.. b166 - b187 =G= 0;
e692.. b167 - b188 =G= 0;
e693.. b168 - b189 =G= 0;
e694.. b169 - b190 =G= 0;
e695.. b167 - b191 =G= 0;
e696.. b168 - b192 =G= 0;
e697.. b169 - b193 =G= 0;
e698.. b167 - b194 =G= 0;
e699.. b168 - b195 =G= 0;
e700.. b169 - b196 =G= 0;
* set non-default bounds
x2.up = 40;
x3.up = 40;
x4.up = 40;
x35.up = 30;
x36.up = 30;
x37.up = 30;
x86.up = 20;
x87.up = 20;
x88.up = 20;
x89.up = 20;
x90.up = 20;
x91.up = 20;
Model m / all /;
m.limrow=0; m.limcol=0;
m.tolproj=0.0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% maximizing objvar;
Last updated: 2025-08-07 Git hash: e62cedfc