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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance syn15m03m
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ⓘ | 3850.18300000 (ALPHAECP) 3850.18205000 (ANTIGONE) 3850.18178000 (BARON) 3850.18181000 (COUENNE) 3850.18179400 (LINDO) 3850.18225400 (SCIP) 3850.18225700 (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ⓘ | Syn15M03M.gms from CMU-IBM MINLP solver project page |
| Applicationⓘ | Synthesis of processing system |
| Added to libraryⓘ | 28 Sep 2013 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 255 |
| #Binary Variablesⓘ | 90 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 33 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | max |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 78 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 537 |
| #Linear Constraintsⓘ | 504 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 33 |
| Operands in Gen. Nonlin. Functionsⓘ | log |
| Constraints curvatureⓘ | convex |
| #Nonzeros in Jacobianⓘ | 1254 |
| #Nonlinear Nonzeros in Jacobianⓘ | 33 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 33 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 33 |
| #Blocks in Hessian of Lagrangianⓘ | 33 |
| 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ⓘ | 6.0000e+02 |
| Infeasibility of initial pointⓘ | 1 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 538 34 126 378 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 256 166 90 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1333 1300 33 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,b122,b123,b124,b125,b126,b127,b128
,b129,b130,b131,b132,b133,b134,b135,b136,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,x212,x213,x214,x215,x216,x217,x218,x219
,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232
,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245
,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256;
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;
Binary Variables b122,b123,b124,b125,b126,b127,b128,b129,b130,b131,b132,b133
,b134,b135,b136,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;
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;
e1.. objvar + x2 + x3 + x4 - 5*x20 - 10*x21 - 5*x22 + 2*x35 + x36 + 2*x37
- 500*x74 - 600*x75 - 350*x76 - 350*x77 - 400*x78 - 450*x79 + 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 + 5*b167 + 4*b168 + 6*b169 + 8*b170
+ 7*b171 + 6*b172 + 6*b173 + 9*b174 + 4*b175 + 10*b176 + 9*b177 + 5*b178
+ 6*b179 + 10*b180 + 6*b181 + 7*b182 + 7*b183 + 4*b184 + 4*b185 + 3*b186
+ 2*b187 + 5*b188 + 6*b189 + 7*b190 + 2*b191 + 5*b192 + 2*b193 + 4*b194
+ 7*b195 + 4*b196 + 3*b197 + 9*b198 + 3*b199 + 7*b200 + 2*b201 + 9*b202
+ 3*b203 + b204 + 9*b205 + 2*b206 + 6*b207 + 3*b208 + 4*b209 + 8*b210
+ b211 =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 + b122 =L= 1;
e33.. -log(1 + x6) + x12 + b123 =L= 1;
e34.. -log(1 + x7) + x13 + b124 =L= 1;
e35.. x5 - 40*b122 =L= 0;
e36.. x6 - 40*b123 =L= 0;
e37.. x7 - 40*b124 =L= 0;
e38.. x11 - 3.71357206670431*b122 =L= 0;
e39.. x12 - 3.71357206670431*b123 =L= 0;
e40.. x13 - 3.71357206670431*b124 =L= 0;
e41.. -1.2*log(1 + x8) + x14 + b125 =L= 1;
e42.. -1.2*log(1 + x9) + x15 + b126 =L= 1;
e43.. -1.2*log(1 + x10) + x16 + b127 =L= 1;
e44.. x8 - 40*b125 =L= 0;
e45.. x9 - 40*b126 =L= 0;
e46.. x10 - 40*b127 =L= 0;
e47.. x14 - 4.45628648004517*b125 =L= 0;
e48.. x15 - 4.45628648004517*b126 =L= 0;
e49.. x16 - 4.45628648004517*b127 =L= 0;
e50.. - 0.75*x26 + x38 + b128 =L= 1;
e51.. - 0.75*x27 + x39 + b129 =L= 1;
e52.. - 0.75*x28 + x40 + b130 =L= 1;
e53.. - 0.75*x26 + x38 - b128 =G= -1;
e54.. - 0.75*x27 + x39 - b129 =G= -1;
e55.. - 0.75*x28 + x40 - b130 =G= -1;
e56.. x26 - 4.45628648004517*b128 =L= 0;
e57.. x27 - 4.45628648004517*b129 =L= 0;
e58.. x28 - 4.45628648004517*b130 =L= 0;
e59.. x38 - 3.34221486003388*b128 =L= 0;
e60.. x39 - 3.34221486003388*b129 =L= 0;
e61.. x40 - 3.34221486003388*b130 =L= 0;
e62.. -1.5*log(1 + x29) + x41 + b131 =L= 1;
e63.. -1.5*log(1 + x30) + x42 + b132 =L= 1;
e64.. -1.5*log(1 + x31) + x43 + b133 =L= 1;
e65.. x29 - 4.45628648004517*b131 =L= 0;
e66.. x30 - 4.45628648004517*b132 =L= 0;
e67.. x31 - 4.45628648004517*b133 =L= 0;
e68.. x41 - 2.54515263975353*b131 =L= 0;
e69.. x42 - 2.54515263975353*b132 =L= 0;
e70.. x43 - 2.54515263975353*b133 =L= 0;
e71.. - x32 + x44 + b134 =L= 1;
e72.. - x33 + x45 + b135 =L= 1;
e73.. - x34 + x46 + b136 =L= 1;
e74.. - x32 + x44 - b134 =G= -1;
e75.. - x33 + x45 - b135 =G= -1;
e76.. - x34 + x46 - b136 =G= -1;
e77.. - 0.5*x35 + x44 + b134 =L= 1;
e78.. - 0.5*x36 + x45 + b135 =L= 1;
e79.. - 0.5*x37 + x46 + b136 =L= 1;
e80.. - 0.5*x35 + x44 - b134 =G= -1;
e81.. - 0.5*x36 + x45 - b135 =G= -1;
e82.. - 0.5*x37 + x46 - b136 =G= -1;
e83.. x32 - 4.45628648004517*b134 =L= 0;
e84.. x33 - 4.45628648004517*b135 =L= 0;
e85.. x34 - 4.45628648004517*b136 =L= 0;
e86.. x35 - 30*b134 =L= 0;
e87.. x36 - 30*b135 =L= 0;
e88.. x37 - 30*b136 =L= 0;
e89.. x44 - 15*b134 =L= 0;
e90.. x45 - 15*b135 =L= 0;
e91.. x46 - 15*b136 =L= 0;
e92.. -1.25*log(1 + x47) + x62 + b137 =L= 1;
e93.. -1.25*log(1 + x48) + x63 + b138 =L= 1;
e94.. -1.25*log(1 + x49) + x64 + b139 =L= 1;
e95.. x47 - 3.34221486003388*b137 =L= 0;
e96.. x48 - 3.34221486003388*b138 =L= 0;
e97.. x49 - 3.34221486003388*b139 =L= 0;
e98.. x62 - 1.83548069293539*b137 =L= 0;
e99.. x63 - 1.83548069293539*b138 =L= 0;
e100.. x64 - 1.83548069293539*b139 =L= 0;
e101.. -0.9*log(1 + x50) + x65 + b140 =L= 1;
e102.. -0.9*log(1 + x51) + x66 + b141 =L= 1;
e103.. -0.9*log(1 + x52) + x67 + b142 =L= 1;
e104.. x50 - 3.34221486003388*b140 =L= 0;
e105.. x51 - 3.34221486003388*b141 =L= 0;
e106.. x52 - 3.34221486003388*b142 =L= 0;
e107.. x65 - 1.32154609891348*b140 =L= 0;
e108.. x66 - 1.32154609891348*b141 =L= 0;
e109.. x67 - 1.32154609891348*b142 =L= 0;
e110.. -log(1 + x41) + x68 + b143 =L= 1;
e111.. -log(1 + x42) + x69 + b144 =L= 1;
e112.. -log(1 + x43) + x70 + b145 =L= 1;
e113.. x41 - 2.54515263975353*b143 =L= 0;
e114.. x42 - 2.54515263975353*b144 =L= 0;
e115.. x43 - 2.54515263975353*b145 =L= 0;
e116.. x68 - 1.26558121681553*b143 =L= 0;
e117.. x69 - 1.26558121681553*b144 =L= 0;
e118.. x70 - 1.26558121681553*b145 =L= 0;
e119.. - 0.9*x53 + x71 + b146 =L= 1;
e120.. - 0.9*x54 + x72 + b147 =L= 1;
e121.. - 0.9*x55 + x73 + b148 =L= 1;
e122.. - 0.9*x53 + x71 - b146 =G= -1;
e123.. - 0.9*x54 + x72 - b147 =G= -1;
e124.. - 0.9*x55 + x73 - b148 =G= -1;
e125.. x53 - 15*b146 =L= 0;
e126.. x54 - 15*b147 =L= 0;
e127.. x55 - 15*b148 =L= 0;
e128.. x71 - 13.5*b146 =L= 0;
e129.. x72 - 13.5*b147 =L= 0;
e130.. x73 - 13.5*b148 =L= 0;
e131.. - 0.6*x56 + x74 + b149 =L= 1;
e132.. - 0.6*x57 + x75 + b150 =L= 1;
e133.. - 0.6*x58 + x76 + b151 =L= 1;
e134.. - 0.6*x56 + x74 - b149 =G= -1;
e135.. - 0.6*x57 + x75 - b150 =G= -1;
e136.. - 0.6*x58 + x76 - b151 =G= -1;
e137.. x56 - 15*b149 =L= 0;
e138.. x57 - 15*b150 =L= 0;
e139.. x58 - 15*b151 =L= 0;
e140.. x74 - 9*b149 =L= 0;
e141.. x75 - 9*b150 =L= 0;
e142.. x76 - 9*b151 =L= 0;
e143.. -1.1*log(1 + x59) + x77 + b152 =L= 1;
e144.. -1.1*log(1 + x60) + x78 + b153 =L= 1;
e145.. -1.1*log(1 + x61) + x79 + b154 =L= 1;
e146.. x59 - 15*b152 =L= 0;
e147.. x60 - 15*b153 =L= 0;
e148.. x61 - 15*b154 =L= 0;
e149.. x77 - 3.04984759446376*b152 =L= 0;
e150.. x78 - 3.04984759446376*b153 =L= 0;
e151.. x79 - 3.04984759446376*b154 =L= 0;
e152.. - 0.9*x62 + x110 + b155 =L= 1;
e153.. - 0.9*x63 + x111 + b156 =L= 1;
e154.. - 0.9*x64 + x112 + b157 =L= 1;
e155.. - 0.9*x62 + x110 - b155 =G= -1;
e156.. - 0.9*x63 + x111 - b156 =G= -1;
e157.. - 0.9*x64 + x112 - b157 =G= -1;
e158.. - x86 + x110 + b155 =L= 1;
e159.. - x87 + x111 + b156 =L= 1;
e160.. - x88 + x112 + b157 =L= 1;
e161.. - x86 + x110 - b155 =G= -1;
e162.. - x87 + x111 - b156 =G= -1;
e163.. - x88 + x112 - b157 =G= -1;
e164.. x62 - 1.83548069293539*b155 =L= 0;
e165.. x63 - 1.83548069293539*b156 =L= 0;
e166.. x64 - 1.83548069293539*b157 =L= 0;
e167.. x86 - 20*b155 =L= 0;
e168.. x87 - 20*b156 =L= 0;
e169.. x88 - 20*b157 =L= 0;
e170.. x110 - 20*b155 =L= 0;
e171.. x111 - 20*b156 =L= 0;
e172.. x112 - 20*b157 =L= 0;
e173.. -log(1 + x65) + x113 + b158 =L= 1;
e174.. -log(1 + x66) + x114 + b159 =L= 1;
e175.. -log(1 + x67) + x115 + b160 =L= 1;
e176.. x65 - 1.32154609891348*b158 =L= 0;
e177.. x66 - 1.32154609891348*b159 =L= 0;
e178.. x67 - 1.32154609891348*b160 =L= 0;
e179.. x113 - 0.842233385663186*b158 =L= 0;
e180.. x114 - 0.842233385663186*b159 =L= 0;
e181.. x115 - 0.842233385663186*b160 =L= 0;
e182.. -0.7*log(1 + x80) + x116 + b161 =L= 1;
e183.. -0.7*log(1 + x81) + x117 + b162 =L= 1;
e184.. -0.7*log(1 + x82) + x118 + b163 =L= 1;
e185.. x80 - 1.26558121681553*b161 =L= 0;
e186.. x81 - 1.26558121681553*b162 =L= 0;
e187.. x82 - 1.26558121681553*b163 =L= 0;
e188.. x116 - 0.572481933717686*b161 =L= 0;
e189.. x117 - 0.572481933717686*b162 =L= 0;
e190.. x118 - 0.572481933717686*b163 =L= 0;
e191.. -0.65*log(1 + x83) + x119 + b164 =L= 1;
e192.. -0.65*log(1 + x84) + x120 + b165 =L= 1;
e193.. -0.65*log(1 + x85) + x121 + b166 =L= 1;
e194.. -0.65*log(1 + x92) + x119 + b164 =L= 1;
e195.. -0.65*log(1 + x93) + x120 + b165 =L= 1;
e196.. -0.65*log(1 + x94) + x121 + b166 =L= 1;
e197.. x83 - 1.26558121681553*b164 =L= 0;
e198.. x84 - 1.26558121681553*b165 =L= 0;
e199.. x85 - 1.26558121681553*b166 =L= 0;
e200.. x92 - 33.5*b164 =L= 0;
e201.. x93 - 33.5*b165 =L= 0;
e202.. x94 - 33.5*b166 =L= 0;
e203.. x119 - 2.30162356062425*b164 =L= 0;
e204.. x120 - 2.30162356062425*b165 =L= 0;
e205.. x121 - 2.30162356062425*b166 =L= 0;
e206.. 5*b167 + x212 =L= 0;
e207.. 4*b168 + x213 =L= 0;
e208.. 6*b169 + x214 =L= 0;
e209.. 8*b170 + x215 =L= 0;
e210.. 7*b171 + x216 =L= 0;
e211.. 6*b172 + x217 =L= 0;
e212.. 6*b173 + x218 =L= 0;
e213.. 9*b174 + x219 =L= 0;
e214.. 4*b175 + x220 =L= 0;
e215.. 10*b176 + x221 =L= 0;
e216.. 9*b177 + x222 =L= 0;
e217.. 5*b178 + x223 =L= 0;
e218.. 6*b179 + x224 =L= 0;
e219.. 10*b180 + x225 =L= 0;
e220.. 6*b181 + x226 =L= 0;
e221.. 7*b182 + x227 =L= 0;
e222.. 7*b183 + x228 =L= 0;
e223.. 4*b184 + x229 =L= 0;
e224.. 4*b185 + x230 =L= 0;
e225.. 3*b186 + x231 =L= 0;
e226.. 2*b187 + x232 =L= 0;
e227.. 5*b188 + x233 =L= 0;
e228.. 6*b189 + x234 =L= 0;
e229.. 7*b190 + x235 =L= 0;
e230.. 2*b191 + x236 =L= 0;
e231.. 5*b192 + x237 =L= 0;
e232.. 2*b193 + x238 =L= 0;
e233.. 4*b194 + x239 =L= 0;
e234.. 7*b195 + x240 =L= 0;
e235.. 4*b196 + x241 =L= 0;
e236.. 3*b197 + x242 =L= 0;
e237.. 9*b198 + x243 =L= 0;
e238.. 3*b199 + x244 =L= 0;
e239.. 7*b200 + x245 =L= 0;
e240.. 2*b201 + x246 =L= 0;
e241.. 9*b202 + x247 =L= 0;
e242.. 3*b203 + x248 =L= 0;
e243.. b204 + x249 =L= 0;
e244.. 9*b205 + x250 =L= 0;
e245.. 2*b206 + x251 =L= 0;
e246.. 6*b207 + x252 =L= 0;
e247.. 3*b208 + x253 =L= 0;
e248.. 4*b209 + x254 =L= 0;
e249.. 8*b210 + x255 =L= 0;
e250.. b211 + x256 =L= 0;
e251.. 5*b167 + x212 =G= 0;
e252.. 4*b168 + x213 =G= 0;
e253.. 6*b169 + x214 =G= 0;
e254.. 8*b170 + x215 =G= 0;
e255.. 7*b171 + x216 =G= 0;
e256.. 6*b172 + x217 =G= 0;
e257.. 6*b173 + x218 =G= 0;
e258.. 9*b174 + x219 =G= 0;
e259.. 4*b175 + x220 =G= 0;
e260.. 10*b176 + x221 =G= 0;
e261.. 9*b177 + x222 =G= 0;
e262.. 5*b178 + x223 =G= 0;
e263.. 6*b179 + x224 =G= 0;
e264.. 10*b180 + x225 =G= 0;
e265.. 6*b181 + x226 =G= 0;
e266.. 7*b182 + x227 =G= 0;
e267.. 7*b183 + x228 =G= 0;
e268.. 4*b184 + x229 =G= 0;
e269.. 4*b185 + x230 =G= 0;
e270.. 3*b186 + x231 =G= 0;
e271.. 2*b187 + x232 =G= 0;
e272.. 5*b188 + x233 =G= 0;
e273.. 6*b189 + x234 =G= 0;
e274.. 7*b190 + x235 =G= 0;
e275.. 2*b191 + x236 =G= 0;
e276.. 5*b192 + x237 =G= 0;
e277.. 2*b193 + x238 =G= 0;
e278.. 4*b194 + x239 =G= 0;
e279.. 7*b195 + x240 =G= 0;
e280.. 4*b196 + x241 =G= 0;
e281.. 3*b197 + x242 =G= 0;
e282.. 9*b198 + x243 =G= 0;
e283.. 3*b199 + x244 =G= 0;
e284.. 7*b200 + x245 =G= 0;
e285.. 2*b201 + x246 =G= 0;
e286.. 9*b202 + x247 =G= 0;
e287.. 3*b203 + x248 =G= 0;
e288.. b204 + x249 =G= 0;
e289.. 9*b205 + x250 =G= 0;
e290.. 2*b206 + x251 =G= 0;
e291.. 6*b207 + x252 =G= 0;
e292.. 3*b208 + x253 =G= 0;
e293.. 4*b209 + x254 =G= 0;
e294.. 8*b210 + x255 =G= 0;
e295.. b211 + x256 =G= 0;
e296.. b122 - b123 =L= 0;
e297.. b122 - b124 =L= 0;
e298.. b123 - b124 =L= 0;
e299.. b125 - b126 =L= 0;
e300.. b125 - b127 =L= 0;
e301.. b126 - b127 =L= 0;
e302.. b128 - b129 =L= 0;
e303.. b128 - b130 =L= 0;
e304.. b129 - b130 =L= 0;
e305.. b131 - b132 =L= 0;
e306.. b131 - b133 =L= 0;
e307.. b132 - b133 =L= 0;
e308.. b134 - b135 =L= 0;
e309.. b134 - b136 =L= 0;
e310.. b135 - b136 =L= 0;
e311.. b137 - b138 =L= 0;
e312.. b137 - b139 =L= 0;
e313.. b138 - b139 =L= 0;
e314.. b140 - b141 =L= 0;
e315.. b140 - b142 =L= 0;
e316.. b141 - b142 =L= 0;
e317.. b143 - b144 =L= 0;
e318.. b143 - b145 =L= 0;
e319.. b144 - b145 =L= 0;
e320.. b146 - b147 =L= 0;
e321.. b146 - b148 =L= 0;
e322.. b147 - b148 =L= 0;
e323.. b149 - b150 =L= 0;
e324.. b149 - b151 =L= 0;
e325.. b150 - b151 =L= 0;
e326.. b152 - b153 =L= 0;
e327.. b152 - b154 =L= 0;
e328.. b153 - b154 =L= 0;
e329.. b155 - b156 =L= 0;
e330.. b155 - b157 =L= 0;
e331.. b156 - b157 =L= 0;
e332.. b158 - b159 =L= 0;
e333.. b158 - b160 =L= 0;
e334.. b159 - b160 =L= 0;
e335.. b161 - b162 =L= 0;
e336.. b161 - b163 =L= 0;
e337.. b162 - b163 =L= 0;
e338.. b164 - b165 =L= 0;
e339.. b164 - b166 =L= 0;
e340.. b165 - b166 =L= 0;
e341.. b167 + b168 =L= 1;
e342.. b167 + b169 =L= 1;
e343.. b167 + b168 =L= 1;
e344.. b168 + b169 =L= 1;
e345.. b167 + b169 =L= 1;
e346.. b168 + b169 =L= 1;
e347.. b170 + b171 =L= 1;
e348.. b170 + b172 =L= 1;
e349.. b170 + b171 =L= 1;
e350.. b171 + b172 =L= 1;
e351.. b170 + b172 =L= 1;
e352.. b171 + b172 =L= 1;
e353.. b173 + b174 =L= 1;
e354.. b173 + b175 =L= 1;
e355.. b173 + b174 =L= 1;
e356.. b174 + b175 =L= 1;
e357.. b173 + b175 =L= 1;
e358.. b174 + b175 =L= 1;
e359.. b176 + b177 =L= 1;
e360.. b176 + b178 =L= 1;
e361.. b176 + b177 =L= 1;
e362.. b177 + b178 =L= 1;
e363.. b176 + b178 =L= 1;
e364.. b177 + b178 =L= 1;
e365.. b179 + b180 =L= 1;
e366.. b179 + b181 =L= 1;
e367.. b179 + b180 =L= 1;
e368.. b180 + b181 =L= 1;
e369.. b179 + b181 =L= 1;
e370.. b180 + b181 =L= 1;
e371.. b182 + b183 =L= 1;
e372.. b182 + b184 =L= 1;
e373.. b182 + b183 =L= 1;
e374.. b183 + b184 =L= 1;
e375.. b182 + b184 =L= 1;
e376.. b183 + b184 =L= 1;
e377.. b185 + b186 =L= 1;
e378.. b185 + b187 =L= 1;
e379.. b185 + b186 =L= 1;
e380.. b186 + b187 =L= 1;
e381.. b185 + b187 =L= 1;
e382.. b186 + b187 =L= 1;
e383.. b188 + b189 =L= 1;
e384.. b188 + b190 =L= 1;
e385.. b188 + b189 =L= 1;
e386.. b189 + b190 =L= 1;
e387.. b188 + b190 =L= 1;
e388.. b189 + b190 =L= 1;
e389.. b191 + b192 =L= 1;
e390.. b191 + b193 =L= 1;
e391.. b191 + b192 =L= 1;
e392.. b192 + b193 =L= 1;
e393.. b191 + b193 =L= 1;
e394.. b192 + b193 =L= 1;
e395.. b194 + b195 =L= 1;
e396.. b194 + b196 =L= 1;
e397.. b194 + b195 =L= 1;
e398.. b195 + b196 =L= 1;
e399.. b194 + b196 =L= 1;
e400.. b195 + b196 =L= 1;
e401.. b197 + b198 =L= 1;
e402.. b197 + b199 =L= 1;
e403.. b197 + b198 =L= 1;
e404.. b198 + b199 =L= 1;
e405.. b197 + b199 =L= 1;
e406.. b198 + b199 =L= 1;
e407.. b200 + b201 =L= 1;
e408.. b200 + b202 =L= 1;
e409.. b200 + b201 =L= 1;
e410.. b201 + b202 =L= 1;
e411.. b200 + b202 =L= 1;
e412.. b201 + b202 =L= 1;
e413.. b203 + b204 =L= 1;
e414.. b203 + b205 =L= 1;
e415.. b203 + b204 =L= 1;
e416.. b204 + b205 =L= 1;
e417.. b203 + b205 =L= 1;
e418.. b204 + b205 =L= 1;
e419.. b206 + b207 =L= 1;
e420.. b206 + b208 =L= 1;
e421.. b206 + b207 =L= 1;
e422.. b207 + b208 =L= 1;
e423.. b206 + b208 =L= 1;
e424.. b207 + b208 =L= 1;
e425.. b209 + b210 =L= 1;
e426.. b209 + b211 =L= 1;
e427.. b209 + b210 =L= 1;
e428.. b210 + b211 =L= 1;
e429.. b209 + b211 =L= 1;
e430.. b210 + b211 =L= 1;
e431.. b122 - b167 =L= 0;
e432.. - b122 + b123 - b168 =L= 0;
e433.. - b122 - b123 + b124 - b169 =L= 0;
e434.. b125 - b170 =L= 0;
e435.. - b125 + b126 - b171 =L= 0;
e436.. - b125 - b126 + b127 - b172 =L= 0;
e437.. b128 - b173 =L= 0;
e438.. - b128 + b129 - b174 =L= 0;
e439.. - b128 - b129 + b130 - b175 =L= 0;
e440.. b131 - b176 =L= 0;
e441.. - b131 + b132 - b177 =L= 0;
e442.. - b131 - b132 + b133 - b178 =L= 0;
e443.. b134 - b179 =L= 0;
e444.. - b134 + b135 - b180 =L= 0;
e445.. - b134 - b135 + b136 - b181 =L= 0;
e446.. b137 - b182 =L= 0;
e447.. - b137 + b138 - b183 =L= 0;
e448.. - b137 - b138 + b139 - b184 =L= 0;
e449.. b140 - b185 =L= 0;
e450.. - b140 + b141 - b186 =L= 0;
e451.. - b140 - b141 + b142 - b187 =L= 0;
e452.. b143 - b188 =L= 0;
e453.. - b143 + b144 - b189 =L= 0;
e454.. - b143 - b144 + b145 - b190 =L= 0;
e455.. b146 - b191 =L= 0;
e456.. - b146 + b147 - b192 =L= 0;
e457.. - b146 - b147 + b148 - b193 =L= 0;
e458.. b149 - b194 =L= 0;
e459.. - b149 + b150 - b195 =L= 0;
e460.. - b149 - b150 + b151 - b196 =L= 0;
e461.. b152 - b197 =L= 0;
e462.. - b152 + b153 - b198 =L= 0;
e463.. - b152 - b153 + b154 - b199 =L= 0;
e464.. b155 - b200 =L= 0;
e465.. - b155 + b156 - b201 =L= 0;
e466.. - b155 - b156 + b157 - b202 =L= 0;
e467.. b158 - b203 =L= 0;
e468.. - b158 + b159 - b204 =L= 0;
e469.. - b158 - b159 + b160 - b205 =L= 0;
e470.. b161 - b206 =L= 0;
e471.. - b161 + b162 - b207 =L= 0;
e472.. - b161 - b162 + b163 - b208 =L= 0;
e473.. b164 - b209 =L= 0;
e474.. - b164 + b165 - b210 =L= 0;
e475.. - b164 - b165 + b166 - b211 =L= 0;
e476.. b122 + b125 =E= 1;
e477.. b123 + b126 =E= 1;
e478.. b124 + b127 =E= 1;
e479.. - b128 + b137 + b140 =G= 0;
e480.. - b129 + b138 + b141 =G= 0;
e481.. - b130 + b139 + b142 =G= 0;
e482.. - b137 + b155 =G= 0;
e483.. - b138 + b156 =G= 0;
e484.. - b139 + b157 =G= 0;
e485.. - b140 + b158 =G= 0;
e486.. - b141 + b159 =G= 0;
e487.. - b142 + b160 =G= 0;
e488.. - b131 + b143 =G= 0;
e489.. - b132 + b144 =G= 0;
e490.. - b133 + b145 =G= 0;
e491.. - b143 + b161 + b164 =G= 0;
e492.. - b144 + b162 + b165 =G= 0;
e493.. - b145 + b163 + b166 =G= 0;
e494.. - b134 + b146 + b149 + b152 =G= 0;
e495.. - b135 + b147 + b150 + b153 =G= 0;
e496.. - b136 + b148 + b151 + b154 =G= 0;
e497.. - b146 + b164 =G= 0;
e498.. - b147 + b165 =G= 0;
e499.. - b148 + b166 =G= 0;
e500.. b122 + b125 - b128 =G= 0;
e501.. b123 + b126 - b129 =G= 0;
e502.. b124 + b127 - b130 =G= 0;
e503.. b122 + b125 - b131 =G= 0;
e504.. b123 + b126 - b132 =G= 0;
e505.. b124 + b127 - b133 =G= 0;
e506.. b122 + b125 - b134 =G= 0;
e507.. b123 + b126 - b135 =G= 0;
e508.. b124 + b127 - b136 =G= 0;
e509.. b128 - b137 =G= 0;
e510.. b129 - b138 =G= 0;
e511.. b130 - b139 =G= 0;
e512.. b128 - b140 =G= 0;
e513.. b129 - b141 =G= 0;
e514.. b130 - b142 =G= 0;
e515.. b131 - b143 =G= 0;
e516.. b132 - b144 =G= 0;
e517.. b133 - b145 =G= 0;
e518.. b134 - b146 =G= 0;
e519.. b135 - b147 =G= 0;
e520.. b136 - b148 =G= 0;
e521.. b134 - b149 =G= 0;
e522.. b135 - b150 =G= 0;
e523.. b136 - b151 =G= 0;
e524.. b134 - b152 =G= 0;
e525.. b135 - b153 =G= 0;
e526.. b136 - b154 =G= 0;
e527.. b137 - b155 =G= 0;
e528.. b138 - b156 =G= 0;
e529.. b139 - b157 =G= 0;
e530.. b140 - b158 =G= 0;
e531.. b141 - b159 =G= 0;
e532.. b142 - b160 =G= 0;
e533.. b143 - b161 =G= 0;
e534.. b144 - b162 =G= 0;
e535.. b145 - b163 =G= 0;
e536.. b143 - b164 =G= 0;
e537.. b144 - b165 =G= 0;
e538.. b145 - b166 =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