MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance syn30m02m
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ⓘ | 400.04154000 (ALPHAECP) 399.68417720 (ANTIGONE) 399.68316700 (BARON) 665.50901000 (BONMIN) 2705.36123200 (COUENNE) 399.68316340 (LINDO) 399.68402170 (SCIP) 403.28462520 (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ⓘ | Syn30M02M.gms from CMU-IBM MINLP solver project page |
| Applicationⓘ | Synthesis of processing system |
| Added to libraryⓘ | 28 Sep 2013 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 320 |
| #Binary Variablesⓘ | 120 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 40 |
| #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ⓘ | 604 |
| #Linear Constraintsⓘ | 564 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 40 |
| Operands in Gen. Nonlin. Functionsⓘ | log |
| Constraints curvatureⓘ | convex |
| #Nonzeros in Jacobianⓘ | 1400 |
| #Nonlinear Nonzeros in Jacobianⓘ | 40 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 40 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 40 |
| #Blocks in Hessian of Lagrangianⓘ | 40 |
| 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ⓘ | 4.8023e-01 |
| Maximal coefficientⓘ | 4.0500e+02 |
| Infeasibility of initial pointⓘ | 1 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 605 37 162 406 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 321 201 120 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1503 1463 40 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,x137,x138,x139,x140,x141
,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,b257,b258
,b259,b260,b261,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,x317,x318,x319,x320,x321;
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,x137,x138,x139,x140
,x141;
Binary Variables 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,b257
,b258,b259,b260,b261;
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;
e1.. objvar + x2 + x3 - 5*x14 - 10*x15 + 2*x24 + x25 + 10*x58 + 5*x59
+ 5*x60 + 5*x61 - 40*x74 - 30*x75 - 15*x76 - 20*x77 - 10*x78 - 30*x79
- 30*x80 - 20*x81 - 35*x82 - 50*x83 - 20*x84 - 30*x85 - 25*x86 - 50*x87
- 15*x88 - 20*x89 - 30*x104 - 40*x105 + x114 + x115 - 80*x130 - 90*x131
- 285*x132 - 390*x133 - 290*x134 - 405*x135 - 280*x136 - 400*x137
- 290*x138 - 300*x139 - 350*x140 - 250*x141 + 5*b202 + 4*b203 + 8*b204
+ 7*b205 + 6*b206 + 9*b207 + 10*b208 + 9*b209 + 6*b210 + 10*b211 + 7*b212
+ 7*b213 + 4*b214 + 3*b215 + 5*b216 + 6*b217 + 2*b218 + 5*b219 + 4*b220
+ 7*b221 + 3*b222 + 9*b223 + 7*b224 + 2*b225 + 3*b226 + b227 + 2*b228
+ 6*b229 + 4*b230 + 8*b231 + 2*b232 + 5*b233 + 3*b234 + 4*b235 + 5*b236
+ 7*b237 + 2*b238 + 8*b239 + b240 + 4*b241 + 2*b242 + 5*b243 + 9*b244
+ 2*b245 + 5*b246 + 8*b247 + 2*b248 + 3*b249 + 10*b250 + 6*b251 + 4*b252
+ 8*b253 + 7*b254 + 3*b255 + 4*b256 + 8*b257 + 2*b258 + b259 + 8*b260
+ 3*b261 =E= 0;
e2.. x2 - x4 - x6 =E= 0;
e3.. x3 - x5 - x7 =E= 0;
e4.. - x8 - x10 + x12 =E= 0;
e5.. - x9 - x11 + x13 =E= 0;
e6.. x12 - x14 - x16 =E= 0;
e7.. x13 - x15 - x17 =E= 0;
e8.. x16 - x18 - x20 - x22 =E= 0;
e9.. x17 - x19 - x21 - x23 =E= 0;
e10.. x26 - x32 - x34 =E= 0;
e11.. x27 - x33 - x35 =E= 0;
e12.. x30 - x36 - x38 - x40 =E= 0;
e13.. x31 - x37 - x39 - x41 =E= 0;
e14.. x46 - x54 - x56 =E= 0;
e15.. x47 - x55 - x57 =E= 0;
e16.. - x48 - x60 + x62 =E= 0;
e17.. - x49 - x61 + x63 =E= 0;
e18.. x50 - x64 - x66 =E= 0;
e19.. x51 - x65 - x67 =E= 0;
e20.. x52 - x68 - x70 - x72 =E= 0;
e21.. x53 - x69 - x71 - x73 =E= 0;
e22.. x90 - x92 =E= 0;
e23.. x91 - x93 =E= 0;
e24.. x92 - x94 - x96 =E= 0;
e25.. x93 - x95 - x97 =E= 0;
e26.. - x98 - x100 + x102 =E= 0;
e27.. - x99 - x101 + x103 =E= 0;
e28.. x102 - x104 - x106 =E= 0;
e29.. x103 - x105 - x107 =E= 0;
e30.. x106 - x108 - x110 - x112 =E= 0;
e31.. x107 - x109 - x111 - x113 =E= 0;
e32.. x116 - x122 - x124 =E= 0;
e33.. x117 - x123 - x125 =E= 0;
e34.. x120 - x126 - x128 - x130 =E= 0;
e35.. x121 - x127 - x129 - x131 =E= 0;
e36.. -log(1 + x4) + x8 + b142 =L= 1;
e37.. -log(1 + x5) + x9 + b143 =L= 1;
e38.. x4 - 40*b142 =L= 0;
e39.. x5 - 40*b143 =L= 0;
e40.. x8 - 3.71357206670431*b142 =L= 0;
e41.. x9 - 3.71357206670431*b143 =L= 0;
e42.. -1.2*log(1 + x6) + x10 + b144 =L= 1;
e43.. -1.2*log(1 + x7) + x11 + b145 =L= 1;
e44.. x6 - 40*b144 =L= 0;
e45.. x7 - 40*b145 =L= 0;
e46.. x10 - 4.45628648004517*b144 =L= 0;
e47.. x11 - 4.45628648004517*b145 =L= 0;
e48.. - 0.75*x18 + x26 + b146 =L= 1;
e49.. - 0.75*x19 + x27 + b147 =L= 1;
e50.. - 0.75*x18 + x26 - b146 =G= -1;
e51.. - 0.75*x19 + x27 - b147 =G= -1;
e52.. x18 - 4.45628648004517*b146 =L= 0;
e53.. x19 - 4.45628648004517*b147 =L= 0;
e54.. x26 - 3.34221486003388*b146 =L= 0;
e55.. x27 - 3.34221486003388*b147 =L= 0;
e56.. -1.5*log(1 + x20) + x28 + b148 =L= 1;
e57.. -1.5*log(1 + x21) + x29 + b149 =L= 1;
e58.. x20 - 4.45628648004517*b148 =L= 0;
e59.. x21 - 4.45628648004517*b149 =L= 0;
e60.. x28 - 2.54515263975353*b148 =L= 0;
e61.. x29 - 2.54515263975353*b149 =L= 0;
e62.. - x22 + x30 + b150 =L= 1;
e63.. - x23 + x31 + b151 =L= 1;
e64.. - x22 + x30 - b150 =G= -1;
e65.. - x23 + x31 - b151 =G= -1;
e66.. - 0.5*x24 + x30 + b150 =L= 1;
e67.. - 0.5*x25 + x31 + b151 =L= 1;
e68.. - 0.5*x24 + x30 - b150 =G= -1;
e69.. - 0.5*x25 + x31 - b151 =G= -1;
e70.. x22 - 4.45628648004517*b150 =L= 0;
e71.. x23 - 4.45628648004517*b151 =L= 0;
e72.. x24 - 30*b150 =L= 0;
e73.. x25 - 30*b151 =L= 0;
e74.. x30 - 15*b150 =L= 0;
e75.. x31 - 15*b151 =L= 0;
e76.. -1.25*log(1 + x32) + x42 + b152 =L= 1;
e77.. -1.25*log(1 + x33) + x43 + b153 =L= 1;
e78.. x32 - 3.34221486003388*b152 =L= 0;
e79.. x33 - 3.34221486003388*b153 =L= 0;
e80.. x42 - 1.83548069293539*b152 =L= 0;
e81.. x43 - 1.83548069293539*b153 =L= 0;
e82.. -0.9*log(1 + x34) + x44 + b154 =L= 1;
e83.. -0.9*log(1 + x35) + x45 + b155 =L= 1;
e84.. x34 - 3.34221486003388*b154 =L= 0;
e85.. x35 - 3.34221486003388*b155 =L= 0;
e86.. x44 - 1.32154609891348*b154 =L= 0;
e87.. x45 - 1.32154609891348*b155 =L= 0;
e88.. -log(1 + x28) + x46 + b156 =L= 1;
e89.. -log(1 + x29) + x47 + b157 =L= 1;
e90.. x28 - 2.54515263975353*b156 =L= 0;
e91.. x29 - 2.54515263975353*b157 =L= 0;
e92.. x46 - 1.26558121681553*b156 =L= 0;
e93.. x47 - 1.26558121681553*b157 =L= 0;
e94.. - 0.9*x36 + x48 + b158 =L= 1;
e95.. - 0.9*x37 + x49 + b159 =L= 1;
e96.. - 0.9*x36 + x48 - b158 =G= -1;
e97.. - 0.9*x37 + x49 - b159 =G= -1;
e98.. x36 - 15*b158 =L= 0;
e99.. x37 - 15*b159 =L= 0;
e100.. x48 - 13.5*b158 =L= 0;
e101.. x49 - 13.5*b159 =L= 0;
e102.. - 0.6*x38 + x50 + b160 =L= 1;
e103.. - 0.6*x39 + x51 + b161 =L= 1;
e104.. - 0.6*x38 + x50 - b160 =G= -1;
e105.. - 0.6*x39 + x51 - b161 =G= -1;
e106.. x38 - 15*b160 =L= 0;
e107.. x39 - 15*b161 =L= 0;
e108.. x50 - 9*b160 =L= 0;
e109.. x51 - 9*b161 =L= 0;
e110.. -1.1*log(1 + x40) + x52 + b162 =L= 1;
e111.. -1.1*log(1 + x41) + x53 + b163 =L= 1;
e112.. x40 - 15*b162 =L= 0;
e113.. x41 - 15*b163 =L= 0;
e114.. x52 - 3.04984759446376*b162 =L= 0;
e115.. x53 - 3.04984759446376*b163 =L= 0;
e116.. - 0.9*x42 + x74 + b164 =L= 1;
e117.. - 0.9*x43 + x75 + b165 =L= 1;
e118.. - 0.9*x42 + x74 - b164 =G= -1;
e119.. - 0.9*x43 + x75 - b165 =G= -1;
e120.. - x58 + x74 + b164 =L= 1;
e121.. - x59 + x75 + b165 =L= 1;
e122.. - x58 + x74 - b164 =G= -1;
e123.. - x59 + x75 - b165 =G= -1;
e124.. x42 - 1.83548069293539*b164 =L= 0;
e125.. x43 - 1.83548069293539*b165 =L= 0;
e126.. x58 - 20*b164 =L= 0;
e127.. x59 - 20*b165 =L= 0;
e128.. x74 - 20*b164 =L= 0;
e129.. x75 - 20*b165 =L= 0;
e130.. -log(1 + x44) + x76 + b166 =L= 1;
e131.. -log(1 + x45) + x77 + b167 =L= 1;
e132.. x44 - 1.32154609891348*b166 =L= 0;
e133.. x45 - 1.32154609891348*b167 =L= 0;
e134.. x76 - 0.842233385663186*b166 =L= 0;
e135.. x77 - 0.842233385663186*b167 =L= 0;
e136.. -0.7*log(1 + x54) + x78 + b168 =L= 1;
e137.. -0.7*log(1 + x55) + x79 + b169 =L= 1;
e138.. x54 - 1.26558121681553*b168 =L= 0;
e139.. x55 - 1.26558121681553*b169 =L= 0;
e140.. x78 - 0.572481933717686*b168 =L= 0;
e141.. x79 - 0.572481933717686*b169 =L= 0;
e142.. -0.65*log(1 + x56) + x80 + b170 =L= 1;
e143.. -0.65*log(1 + x57) + x81 + b171 =L= 1;
e144.. -0.65*log(1 + x62) + x80 + b170 =L= 1;
e145.. -0.65*log(1 + x63) + x81 + b171 =L= 1;
e146.. x56 - 1.26558121681553*b170 =L= 0;
e147.. x57 - 1.26558121681553*b171 =L= 0;
e148.. x62 - 33.5*b170 =L= 0;
e149.. x63 - 33.5*b171 =L= 0;
e150.. x80 - 2.30162356062425*b170 =L= 0;
e151.. x81 - 2.30162356062425*b171 =L= 0;
e152.. - x64 + x82 + b172 =L= 1;
e153.. - x65 + x83 + b173 =L= 1;
e154.. - x64 + x82 - b172 =G= -1;
e155.. - x65 + x83 - b173 =G= -1;
e156.. x64 - 9*b172 =L= 0;
e157.. x65 - 9*b173 =L= 0;
e158.. x82 - 9*b172 =L= 0;
e159.. x83 - 9*b173 =L= 0;
e160.. - x66 + x84 + b174 =L= 1;
e161.. - x67 + x85 + b175 =L= 1;
e162.. - x66 + x84 - b174 =G= -1;
e163.. - x67 + x85 - b175 =G= -1;
e164.. x66 - 9*b174 =L= 0;
e165.. x67 - 9*b175 =L= 0;
e166.. x84 - 9*b174 =L= 0;
e167.. x85 - 9*b175 =L= 0;
e168.. -0.75*log(1 + x68) + x86 + b176 =L= 1;
e169.. -0.75*log(1 + x69) + x87 + b177 =L= 1;
e170.. x68 - 3.04984759446376*b176 =L= 0;
e171.. x69 - 3.04984759446376*b177 =L= 0;
e172.. x86 - 1.04900943706034*b176 =L= 0;
e173.. x87 - 1.04900943706034*b177 =L= 0;
e174.. -0.8*log(1 + x70) + x88 + b178 =L= 1;
e175.. -0.8*log(1 + x71) + x89 + b179 =L= 1;
e176.. x70 - 3.04984759446376*b178 =L= 0;
e177.. x71 - 3.04984759446376*b179 =L= 0;
e178.. x88 - 1.11894339953103*b178 =L= 0;
e179.. x89 - 1.11894339953103*b179 =L= 0;
e180.. -0.85*log(1 + x72) + x90 + b180 =L= 1;
e181.. -0.85*log(1 + x73) + x91 + b181 =L= 1;
e182.. x72 - 3.04984759446376*b180 =L= 0;
e183.. x73 - 3.04984759446376*b181 =L= 0;
e184.. x90 - 1.18887736200171*b180 =L= 0;
e185.. x91 - 1.18887736200171*b181 =L= 0;
e186.. -log(1 + x94) + x98 + b182 =L= 1;
e187.. -log(1 + x95) + x99 + b183 =L= 1;
e188.. x94 - 1.18887736200171*b182 =L= 0;
e189.. x95 - 1.18887736200171*b183 =L= 0;
e190.. x98 - 0.78338879230327*b182 =L= 0;
e191.. x99 - 0.78338879230327*b183 =L= 0;
e192.. -1.2*log(1 + x96) + x100 + b184 =L= 1;
e193.. -1.2*log(1 + x97) + x101 + b185 =L= 1;
e194.. x96 - 1.18887736200171*b184 =L= 0;
e195.. x97 - 1.18887736200171*b185 =L= 0;
e196.. x100 - 0.940066550763924*b184 =L= 0;
e197.. x101 - 0.940066550763924*b185 =L= 0;
e198.. - 0.75*x108 + x116 + b186 =L= 1;
e199.. - 0.75*x109 + x117 + b187 =L= 1;
e200.. - 0.75*x108 + x116 - b186 =G= -1;
e201.. - 0.75*x109 + x117 - b187 =G= -1;
e202.. x108 - 0.940066550763924*b186 =L= 0;
e203.. x109 - 0.940066550763924*b187 =L= 0;
e204.. x116 - 0.705049913072943*b186 =L= 0;
e205.. x117 - 0.705049913072943*b187 =L= 0;
e206.. -1.5*log(1 + x110) + x118 + b188 =L= 1;
e207.. -1.5*log(1 + x111) + x119 + b189 =L= 1;
e208.. x110 - 0.940066550763924*b188 =L= 0;
e209.. x111 - 0.940066550763924*b189 =L= 0;
e210.. x118 - 0.994083415506506*b188 =L= 0;
e211.. x119 - 0.994083415506506*b189 =L= 0;
e212.. - x112 + x120 + b190 =L= 1;
e213.. - x113 + x121 + b191 =L= 1;
e214.. - x112 + x120 - b190 =G= -1;
e215.. - x113 + x121 - b191 =G= -1;
e216.. - 0.5*x114 + x120 + b190 =L= 1;
e217.. - 0.5*x115 + x121 + b191 =L= 1;
e218.. - 0.5*x114 + x120 - b190 =G= -1;
e219.. - 0.5*x115 + x121 - b191 =G= -1;
e220.. x112 - 0.940066550763924*b190 =L= 0;
e221.. x113 - 0.940066550763924*b191 =L= 0;
e222.. x114 - 30*b190 =L= 0;
e223.. x115 - 30*b191 =L= 0;
e224.. x120 - 15*b190 =L= 0;
e225.. x121 - 15*b191 =L= 0;
e226.. -1.25*log(1 + x122) + x132 + b192 =L= 1;
e227.. -1.25*log(1 + x123) + x133 + b193 =L= 1;
e228.. x122 - 0.705049913072943*b192 =L= 0;
e229.. x123 - 0.705049913072943*b193 =L= 0;
e230.. x132 - 0.666992981045719*b192 =L= 0;
e231.. x133 - 0.666992981045719*b193 =L= 0;
e232.. -0.9*log(1 + x124) + x134 + b194 =L= 1;
e233.. -0.9*log(1 + x125) + x135 + b195 =L= 1;
e234.. x124 - 0.705049913072943*b194 =L= 0;
e235.. x125 - 0.705049913072943*b195 =L= 0;
e236.. x134 - 0.480234946352917*b194 =L= 0;
e237.. x135 - 0.480234946352917*b195 =L= 0;
e238.. -log(1 + x118) + x136 + b196 =L= 1;
e239.. -log(1 + x119) + x137 + b197 =L= 1;
e240.. x118 - 0.994083415506506*b196 =L= 0;
e241.. x119 - 0.994083415506506*b197 =L= 0;
e242.. x136 - 0.690184503917672*b196 =L= 0;
e243.. x137 - 0.690184503917672*b197 =L= 0;
e244.. - 0.9*x126 + x138 + b198 =L= 1;
e245.. - 0.9*x127 + x139 + b199 =L= 1;
e246.. - 0.9*x126 + x138 - b198 =G= -1;
e247.. - 0.9*x127 + x139 - b199 =G= -1;
e248.. x126 - 15*b198 =L= 0;
e249.. x127 - 15*b199 =L= 0;
e250.. x138 - 13.5*b198 =L= 0;
e251.. x139 - 13.5*b199 =L= 0;
e252.. - 0.6*x128 + x140 + b200 =L= 1;
e253.. - 0.6*x129 + x141 + b201 =L= 1;
e254.. - 0.6*x128 + x140 - b200 =G= -1;
e255.. - 0.6*x129 + x141 - b201 =G= -1;
e256.. x128 - 15*b200 =L= 0;
e257.. x129 - 15*b201 =L= 0;
e258.. x140 - 9*b200 =L= 0;
e259.. x141 - 9*b201 =L= 0;
e260.. 5*b202 + x262 =L= 0;
e261.. 4*b203 + x263 =L= 0;
e262.. 8*b204 + x264 =L= 0;
e263.. 7*b205 + x265 =L= 0;
e264.. 6*b206 + x266 =L= 0;
e265.. 9*b207 + x267 =L= 0;
e266.. 10*b208 + x268 =L= 0;
e267.. 9*b209 + x269 =L= 0;
e268.. 6*b210 + x270 =L= 0;
e269.. 10*b211 + x271 =L= 0;
e270.. 7*b212 + x272 =L= 0;
e271.. 7*b213 + x273 =L= 0;
e272.. 4*b214 + x274 =L= 0;
e273.. 3*b215 + x275 =L= 0;
e274.. 5*b216 + x276 =L= 0;
e275.. 6*b217 + x277 =L= 0;
e276.. 2*b218 + x278 =L= 0;
e277.. 5*b219 + x279 =L= 0;
e278.. 4*b220 + x280 =L= 0;
e279.. 7*b221 + x281 =L= 0;
e280.. 3*b222 + x282 =L= 0;
e281.. 9*b223 + x283 =L= 0;
e282.. 7*b224 + x284 =L= 0;
e283.. 2*b225 + x285 =L= 0;
e284.. 3*b226 + x286 =L= 0;
e285.. b227 + x287 =L= 0;
e286.. 2*b228 + x288 =L= 0;
e287.. 6*b229 + x289 =L= 0;
e288.. 4*b230 + x290 =L= 0;
e289.. 8*b231 + x291 =L= 0;
e290.. 2*b232 + x292 =L= 0;
e291.. 5*b233 + x293 =L= 0;
e292.. 3*b234 + x294 =L= 0;
e293.. 4*b235 + x295 =L= 0;
e294.. 5*b236 + x296 =L= 0;
e295.. 7*b237 + x297 =L= 0;
e296.. 2*b238 + x298 =L= 0;
e297.. 8*b239 + x299 =L= 0;
e298.. b240 + x300 =L= 0;
e299.. 4*b241 + x301 =L= 0;
e300.. 2*b242 + x302 =L= 0;
e301.. 5*b243 + x303 =L= 0;
e302.. 9*b244 + x304 =L= 0;
e303.. 2*b245 + x305 =L= 0;
e304.. 5*b246 + x306 =L= 0;
e305.. 8*b247 + x307 =L= 0;
e306.. 2*b248 + x308 =L= 0;
e307.. 3*b249 + x309 =L= 0;
e308.. 10*b250 + x310 =L= 0;
e309.. 6*b251 + x311 =L= 0;
e310.. 4*b252 + x312 =L= 0;
e311.. 8*b253 + x313 =L= 0;
e312.. 7*b254 + x314 =L= 0;
e313.. 3*b255 + x315 =L= 0;
e314.. 4*b256 + x316 =L= 0;
e315.. 8*b257 + x317 =L= 0;
e316.. 2*b258 + x318 =L= 0;
e317.. b259 + x319 =L= 0;
e318.. 8*b260 + x320 =L= 0;
e319.. 3*b261 + x321 =L= 0;
e320.. 5*b202 + x262 =G= 0;
e321.. 4*b203 + x263 =G= 0;
e322.. 8*b204 + x264 =G= 0;
e323.. 7*b205 + x265 =G= 0;
e324.. 6*b206 + x266 =G= 0;
e325.. 9*b207 + x267 =G= 0;
e326.. 10*b208 + x268 =G= 0;
e327.. 9*b209 + x269 =G= 0;
e328.. 6*b210 + x270 =G= 0;
e329.. 10*b211 + x271 =G= 0;
e330.. 7*b212 + x272 =G= 0;
e331.. 7*b213 + x273 =G= 0;
e332.. 4*b214 + x274 =G= 0;
e333.. 3*b215 + x275 =G= 0;
e334.. 5*b216 + x276 =G= 0;
e335.. 6*b217 + x277 =G= 0;
e336.. 2*b218 + x278 =G= 0;
e337.. 5*b219 + x279 =G= 0;
e338.. 4*b220 + x280 =G= 0;
e339.. 7*b221 + x281 =G= 0;
e340.. 3*b222 + x282 =G= 0;
e341.. 9*b223 + x283 =G= 0;
e342.. 7*b224 + x284 =G= 0;
e343.. 2*b225 + x285 =G= 0;
e344.. 3*b226 + x286 =G= 0;
e345.. b227 + x287 =G= 0;
e346.. 2*b228 + x288 =G= 0;
e347.. 6*b229 + x289 =G= 0;
e348.. 4*b230 + x290 =G= 0;
e349.. 8*b231 + x291 =G= 0;
e350.. 2*b232 + x292 =G= 0;
e351.. 5*b233 + x293 =G= 0;
e352.. 3*b234 + x294 =G= 0;
e353.. 4*b235 + x295 =G= 0;
e354.. 5*b236 + x296 =G= 0;
e355.. 7*b237 + x297 =G= 0;
e356.. 2*b238 + x298 =G= 0;
e357.. 8*b239 + x299 =G= 0;
e358.. b240 + x300 =G= 0;
e359.. 4*b241 + x301 =G= 0;
e360.. 2*b242 + x302 =G= 0;
e361.. 5*b243 + x303 =G= 0;
e362.. 9*b244 + x304 =G= 0;
e363.. 2*b245 + x305 =G= 0;
e364.. 5*b246 + x306 =G= 0;
e365.. 8*b247 + x307 =G= 0;
e366.. 2*b248 + x308 =G= 0;
e367.. 3*b249 + x309 =G= 0;
e368.. 10*b250 + x310 =G= 0;
e369.. 6*b251 + x311 =G= 0;
e370.. 4*b252 + x312 =G= 0;
e371.. 8*b253 + x313 =G= 0;
e372.. 7*b254 + x314 =G= 0;
e373.. 3*b255 + x315 =G= 0;
e374.. 4*b256 + x316 =G= 0;
e375.. 8*b257 + x317 =G= 0;
e376.. 2*b258 + x318 =G= 0;
e377.. b259 + x319 =G= 0;
e378.. 8*b260 + x320 =G= 0;
e379.. 3*b261 + x321 =G= 0;
e380.. b142 - b143 =L= 0;
e381.. b144 - b145 =L= 0;
e382.. b146 - b147 =L= 0;
e383.. b148 - b149 =L= 0;
e384.. b150 - b151 =L= 0;
e385.. b152 - b153 =L= 0;
e386.. b154 - b155 =L= 0;
e387.. b156 - b157 =L= 0;
e388.. b158 - b159 =L= 0;
e389.. b160 - b161 =L= 0;
e390.. b162 - b163 =L= 0;
e391.. b164 - b165 =L= 0;
e392.. b166 - b167 =L= 0;
e393.. b168 - b169 =L= 0;
e394.. b170 - b171 =L= 0;
e395.. b172 - b173 =L= 0;
e396.. b174 - b175 =L= 0;
e397.. b176 - b177 =L= 0;
e398.. b178 - b179 =L= 0;
e399.. b180 - b181 =L= 0;
e400.. b182 - b183 =L= 0;
e401.. b184 - b185 =L= 0;
e402.. b186 - b187 =L= 0;
e403.. b188 - b189 =L= 0;
e404.. b190 - b191 =L= 0;
e405.. b192 - b193 =L= 0;
e406.. b194 - b195 =L= 0;
e407.. b196 - b197 =L= 0;
e408.. b198 - b199 =L= 0;
e409.. b200 - b201 =L= 0;
e410.. b202 + b203 =L= 1;
e411.. b202 + b203 =L= 1;
e412.. b204 + b205 =L= 1;
e413.. b204 + b205 =L= 1;
e414.. b206 + b207 =L= 1;
e415.. b206 + b207 =L= 1;
e416.. b208 + b209 =L= 1;
e417.. b208 + b209 =L= 1;
e418.. b210 + b211 =L= 1;
e419.. b210 + b211 =L= 1;
e420.. b212 + b213 =L= 1;
e421.. b212 + b213 =L= 1;
e422.. b214 + b215 =L= 1;
e423.. b214 + b215 =L= 1;
e424.. b216 + b217 =L= 1;
e425.. b216 + b217 =L= 1;
e426.. b218 + b219 =L= 1;
e427.. b218 + b219 =L= 1;
e428.. b220 + b221 =L= 1;
e429.. b220 + b221 =L= 1;
e430.. b222 + b223 =L= 1;
e431.. b222 + b223 =L= 1;
e432.. b224 + b225 =L= 1;
e433.. b224 + b225 =L= 1;
e434.. b226 + b227 =L= 1;
e435.. b226 + b227 =L= 1;
e436.. b228 + b229 =L= 1;
e437.. b228 + b229 =L= 1;
e438.. b230 + b231 =L= 1;
e439.. b230 + b231 =L= 1;
e440.. b232 + b233 =L= 1;
e441.. b232 + b233 =L= 1;
e442.. b234 + b235 =L= 1;
e443.. b234 + b235 =L= 1;
e444.. b236 + b237 =L= 1;
e445.. b236 + b237 =L= 1;
e446.. b238 + b239 =L= 1;
e447.. b238 + b239 =L= 1;
e448.. b240 + b241 =L= 1;
e449.. b240 + b241 =L= 1;
e450.. b242 + b243 =L= 1;
e451.. b242 + b243 =L= 1;
e452.. b244 + b245 =L= 1;
e453.. b244 + b245 =L= 1;
e454.. b246 + b247 =L= 1;
e455.. b246 + b247 =L= 1;
e456.. b248 + b249 =L= 1;
e457.. b248 + b249 =L= 1;
e458.. b250 + b251 =L= 1;
e459.. b250 + b251 =L= 1;
e460.. b252 + b253 =L= 1;
e461.. b252 + b253 =L= 1;
e462.. b254 + b255 =L= 1;
e463.. b254 + b255 =L= 1;
e464.. b256 + b257 =L= 1;
e465.. b256 + b257 =L= 1;
e466.. b258 + b259 =L= 1;
e467.. b258 + b259 =L= 1;
e468.. b260 + b261 =L= 1;
e469.. b260 + b261 =L= 1;
e470.. b142 - b202 =L= 0;
e471.. - b142 + b143 - b203 =L= 0;
e472.. b144 - b204 =L= 0;
e473.. - b144 + b145 - b205 =L= 0;
e474.. b146 - b206 =L= 0;
e475.. - b146 + b147 - b207 =L= 0;
e476.. b148 - b208 =L= 0;
e477.. - b148 + b149 - b209 =L= 0;
e478.. b150 - b210 =L= 0;
e479.. - b150 + b151 - b211 =L= 0;
e480.. b152 - b212 =L= 0;
e481.. - b152 + b153 - b213 =L= 0;
e482.. b154 - b214 =L= 0;
e483.. - b154 + b155 - b215 =L= 0;
e484.. b156 - b216 =L= 0;
e485.. - b156 + b157 - b217 =L= 0;
e486.. b158 - b218 =L= 0;
e487.. - b158 + b159 - b219 =L= 0;
e488.. b160 - b220 =L= 0;
e489.. - b160 + b161 - b221 =L= 0;
e490.. b162 - b222 =L= 0;
e491.. - b162 + b163 - b223 =L= 0;
e492.. b164 - b224 =L= 0;
e493.. - b164 + b165 - b225 =L= 0;
e494.. b166 - b226 =L= 0;
e495.. - b166 + b167 - b227 =L= 0;
e496.. b168 - b228 =L= 0;
e497.. - b168 + b169 - b229 =L= 0;
e498.. b170 - b230 =L= 0;
e499.. - b170 + b171 - b231 =L= 0;
e500.. b172 - b232 =L= 0;
e501.. - b172 + b173 - b233 =L= 0;
e502.. b174 - b234 =L= 0;
e503.. - b174 + b175 - b235 =L= 0;
e504.. b176 - b236 =L= 0;
e505.. - b176 + b177 - b237 =L= 0;
e506.. b178 - b238 =L= 0;
e507.. - b178 + b179 - b239 =L= 0;
e508.. b180 - b240 =L= 0;
e509.. - b180 + b181 - b241 =L= 0;
e510.. b182 - b242 =L= 0;
e511.. - b182 + b183 - b243 =L= 0;
e512.. b184 - b244 =L= 0;
e513.. - b184 + b185 - b245 =L= 0;
e514.. b186 - b246 =L= 0;
e515.. - b186 + b187 - b247 =L= 0;
e516.. b188 - b248 =L= 0;
e517.. - b188 + b189 - b249 =L= 0;
e518.. b190 - b250 =L= 0;
e519.. - b190 + b191 - b251 =L= 0;
e520.. b192 - b252 =L= 0;
e521.. - b192 + b193 - b253 =L= 0;
e522.. b194 - b254 =L= 0;
e523.. - b194 + b195 - b255 =L= 0;
e524.. b196 - b256 =L= 0;
e525.. - b196 + b197 - b257 =L= 0;
e526.. b198 - b258 =L= 0;
e527.. - b198 + b199 - b259 =L= 0;
e528.. b200 - b260 =L= 0;
e529.. - b200 + b201 - b261 =L= 0;
e530.. b142 + b144 =E= 1;
e531.. b143 + b145 =E= 1;
e532.. - b146 + b152 + b154 =G= 0;
e533.. - b147 + b153 + b155 =G= 0;
e534.. - b152 + b164 =G= 0;
e535.. - b153 + b165 =G= 0;
e536.. - b154 + b166 =G= 0;
e537.. - b155 + b167 =G= 0;
e538.. - b148 + b156 =G= 0;
e539.. - b149 + b157 =G= 0;
e540.. - b156 + b168 + b170 =G= 0;
e541.. - b157 + b169 + b171 =G= 0;
e542.. - b150 + b158 + b160 + b162 =G= 0;
e543.. - b151 + b159 + b161 + b163 =G= 0;
e544.. - b158 + b170 =G= 0;
e545.. - b159 + b171 =G= 0;
e546.. - b160 + b172 + b174 =G= 0;
e547.. - b161 + b173 + b175 =G= 0;
e548.. - b162 + b176 + b178 + b180 =G= 0;
e549.. - b163 + b177 + b179 + b181 =G= 0;
e550.. b142 + b144 - b146 =G= 0;
e551.. b143 + b145 - b147 =G= 0;
e552.. b142 + b144 - b148 =G= 0;
e553.. b143 + b145 - b149 =G= 0;
e554.. b142 + b144 - b150 =G= 0;
e555.. b143 + b145 - b151 =G= 0;
e556.. b146 - b152 =G= 0;
e557.. b147 - b153 =G= 0;
e558.. b146 - b154 =G= 0;
e559.. b147 - b155 =G= 0;
e560.. b148 - b156 =G= 0;
e561.. b149 - b157 =G= 0;
e562.. b150 - b158 =G= 0;
e563.. b151 - b159 =G= 0;
e564.. b150 - b160 =G= 0;
e565.. b151 - b161 =G= 0;
e566.. b150 - b162 =G= 0;
e567.. b151 - b163 =G= 0;
e568.. b152 - b164 =G= 0;
e569.. b153 - b165 =G= 0;
e570.. b154 - b166 =G= 0;
e571.. b155 - b167 =G= 0;
e572.. b156 - b168 =G= 0;
e573.. b157 - b169 =G= 0;
e574.. b156 - b170 =G= 0;
e575.. b157 - b171 =G= 0;
e576.. b160 - b172 =G= 0;
e577.. b161 - b173 =G= 0;
e578.. b160 - b174 =G= 0;
e579.. b161 - b175 =G= 0;
e580.. b162 - b176 =G= 0;
e581.. b163 - b177 =G= 0;
e582.. b162 - b178 =G= 0;
e583.. b163 - b179 =G= 0;
e584.. b162 - b180 =G= 0;
e585.. b163 - b181 =G= 0;
e586.. - b180 + b182 + b184 =G= 0;
e587.. - b181 + b183 + b185 =G= 0;
e588.. - b186 + b192 + b194 =G= 0;
e589.. - b187 + b193 + b195 =G= 0;
e590.. - b188 + b196 =G= 0;
e591.. - b189 + b197 =G= 0;
e592.. b180 - b182 =G= 0;
e593.. b181 - b183 =G= 0;
e594.. b180 - b184 =G= 0;
e595.. b181 - b185 =G= 0;
e596.. b186 - b192 =G= 0;
e597.. b187 - b193 =G= 0;
e598.. b186 - b194 =G= 0;
e599.. b187 - b195 =G= 0;
e600.. b188 - b196 =G= 0;
e601.. b189 - b197 =G= 0;
e602.. b190 - b198 =G= 0;
e603.. b191 - b199 =G= 0;
e604.. b190 - b200 =G= 0;
e605.. b191 - b201 =G= 0;
* set non-default bounds
x2.up = 40;
x3.up = 40;
x24.up = 30;
x25.up = 30;
x58.up = 20;
x59.up = 20;
x60.up = 20;
x61.up = 20;
x114.up = 30;
x115.up = 30;
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