MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance syn10m04m
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ⓘ | 4557.35690000 (ALPHAECP) 4557.06331300 (ANTIGONE) 4557.06234300 (BARON) 4557.06233800 (BONMIN) 4557.06250000 (COUENNE) 4557.06233800 (LINDO) 4557.06335600 (SCIP) 4557.06335200 (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ⓘ | Syn10M04M.gms from CMU-IBM MINLP solver project page |
| Applicationⓘ | Synthesis of processing system |
| Added to libraryⓘ | 28 Sep 2013 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 220 |
| #Binary Variablesⓘ | 80 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 24 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | max |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 76 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 516 |
| #Linear Constraintsⓘ | 492 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 24 |
| Operands in Gen. Nonlin. Functionsⓘ | log |
| Constraints curvatureⓘ | convex |
| #Nonzeros in Jacobianⓘ | 1204 |
| #Nonlinear Nonzeros in Jacobianⓘ | 24 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 24 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 24 |
| #Blocks in Hessian of Lagrangianⓘ | 24 |
| 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
* 517 29 100 388 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 221 141 80 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1281 1257 24 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,b102
,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115
,b116,b117,b118,b119,b120,b121,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,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193
,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206
,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219
,x220,x221;
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;
Binary Variables b102,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113
,b114,b115,b116,b117,b118,b119,b120,b121,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;
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;
e1.. objvar + x2 + x3 + x4 + x5 - 5*x26 - 10*x27 - 5*x28 - 10*x29 + 2*x46
+ x47 + 2*x48 + x49 - 80*x78 - 90*x79 - 120*x80 - 100*x81 - 285*x82
- 390*x83 - 350*x84 - 300*x85 - 290*x86 - 405*x87 - 190*x88 - 340*x89
- 280*x90 - 400*x91 - 430*x92 - 260*x93 - 290*x94 - 300*x95 - 240*x96
- 310*x97 - 350*x98 - 250*x99 - 300*x100 - 400*x101 + 5*b142 + 4*b143
+ 6*b144 + 3*b145 + 8*b146 + 7*b147 + 6*b148 + 5*b149 + 6*b150 + 9*b151
+ 4*b152 + 3*b153 + 10*b154 + 9*b155 + 5*b156 + 6*b157 + 6*b158 + 10*b159
+ 6*b160 + 9*b161 + 7*b162 + 7*b163 + 4*b164 + 2*b165 + 4*b166 + 3*b167
+ 2*b168 + 8*b169 + 5*b170 + 6*b171 + 7*b172 + 4*b173 + 2*b174 + 5*b175
+ 2*b176 + 6*b177 + 4*b178 + 7*b179 + 4*b180 + 7*b181 =E= 0;
e2.. x2 - x6 - x10 =E= 0;
e3.. x3 - x7 - x11 =E= 0;
e4.. x4 - x8 - x12 =E= 0;
e5.. x5 - x9 - x13 =E= 0;
e6.. - x14 - x18 + x22 =E= 0;
e7.. - x15 - x19 + x23 =E= 0;
e8.. - x16 - x20 + x24 =E= 0;
e9.. - x17 - x21 + x25 =E= 0;
e10.. x22 - x26 - x30 =E= 0;
e11.. x23 - x27 - x31 =E= 0;
e12.. x24 - x28 - x32 =E= 0;
e13.. x25 - x29 - x33 =E= 0;
e14.. x30 - x34 - x38 - x42 =E= 0;
e15.. x31 - x35 - x39 - x43 =E= 0;
e16.. x32 - x36 - x40 - x44 =E= 0;
e17.. x33 - x37 - x41 - x45 =E= 0;
e18.. x50 - x62 - x66 =E= 0;
e19.. x51 - x63 - x67 =E= 0;
e20.. x52 - x64 - x68 =E= 0;
e21.. x53 - x65 - x69 =E= 0;
e22.. x58 - x70 - x74 - x78 =E= 0;
e23.. x59 - x71 - x75 - x79 =E= 0;
e24.. x60 - x72 - x76 - x80 =E= 0;
e25.. x61 - x73 - x77 - x81 =E= 0;
e26.. -log(1 + x6) + x14 + b102 =L= 1;
e27.. -log(1 + x7) + x15 + b103 =L= 1;
e28.. -log(1 + x8) + x16 + b104 =L= 1;
e29.. -log(1 + x9) + x17 + b105 =L= 1;
e30.. x6 - 40*b102 =L= 0;
e31.. x7 - 40*b103 =L= 0;
e32.. x8 - 40*b104 =L= 0;
e33.. x9 - 40*b105 =L= 0;
e34.. x14 - 3.71357206670431*b102 =L= 0;
e35.. x15 - 3.71357206670431*b103 =L= 0;
e36.. x16 - 3.71357206670431*b104 =L= 0;
e37.. x17 - 3.71357206670431*b105 =L= 0;
e38.. -1.2*log(1 + x10) + x18 + b106 =L= 1;
e39.. -1.2*log(1 + x11) + x19 + b107 =L= 1;
e40.. -1.2*log(1 + x12) + x20 + b108 =L= 1;
e41.. -1.2*log(1 + x13) + x21 + b109 =L= 1;
e42.. x10 - 40*b106 =L= 0;
e43.. x11 - 40*b107 =L= 0;
e44.. x12 - 40*b108 =L= 0;
e45.. x13 - 40*b109 =L= 0;
e46.. x18 - 4.45628648004517*b106 =L= 0;
e47.. x19 - 4.45628648004517*b107 =L= 0;
e48.. x20 - 4.45628648004517*b108 =L= 0;
e49.. x21 - 4.45628648004517*b109 =L= 0;
e50.. - 0.75*x34 + x50 + b110 =L= 1;
e51.. - 0.75*x35 + x51 + b111 =L= 1;
e52.. - 0.75*x36 + x52 + b112 =L= 1;
e53.. - 0.75*x37 + x53 + b113 =L= 1;
e54.. - 0.75*x34 + x50 - b110 =G= -1;
e55.. - 0.75*x35 + x51 - b111 =G= -1;
e56.. - 0.75*x36 + x52 - b112 =G= -1;
e57.. - 0.75*x37 + x53 - b113 =G= -1;
e58.. x34 - 4.45628648004517*b110 =L= 0;
e59.. x35 - 4.45628648004517*b111 =L= 0;
e60.. x36 - 4.45628648004517*b112 =L= 0;
e61.. x37 - 4.45628648004517*b113 =L= 0;
e62.. x50 - 3.34221486003388*b110 =L= 0;
e63.. x51 - 3.34221486003388*b111 =L= 0;
e64.. x52 - 3.34221486003388*b112 =L= 0;
e65.. x53 - 3.34221486003388*b113 =L= 0;
e66.. -1.5*log(1 + x38) + x54 + b114 =L= 1;
e67.. -1.5*log(1 + x39) + x55 + b115 =L= 1;
e68.. -1.5*log(1 + x40) + x56 + b116 =L= 1;
e69.. -1.5*log(1 + x41) + x57 + b117 =L= 1;
e70.. x38 - 4.45628648004517*b114 =L= 0;
e71.. x39 - 4.45628648004517*b115 =L= 0;
e72.. x40 - 4.45628648004517*b116 =L= 0;
e73.. x41 - 4.45628648004517*b117 =L= 0;
e74.. x54 - 2.54515263975353*b114 =L= 0;
e75.. x55 - 2.54515263975353*b115 =L= 0;
e76.. x56 - 2.54515263975353*b116 =L= 0;
e77.. x57 - 2.54515263975353*b117 =L= 0;
e78.. - x42 + x58 + b118 =L= 1;
e79.. - x43 + x59 + b119 =L= 1;
e80.. - x44 + x60 + b120 =L= 1;
e81.. - x45 + x61 + b121 =L= 1;
e82.. - x42 + x58 - b118 =G= -1;
e83.. - x43 + x59 - b119 =G= -1;
e84.. - x44 + x60 - b120 =G= -1;
e85.. - x45 + x61 - b121 =G= -1;
e86.. - 0.5*x46 + x58 + b118 =L= 1;
e87.. - 0.5*x47 + x59 + b119 =L= 1;
e88.. - 0.5*x48 + x60 + b120 =L= 1;
e89.. - 0.5*x49 + x61 + b121 =L= 1;
e90.. - 0.5*x46 + x58 - b118 =G= -1;
e91.. - 0.5*x47 + x59 - b119 =G= -1;
e92.. - 0.5*x48 + x60 - b120 =G= -1;
e93.. - 0.5*x49 + x61 - b121 =G= -1;
e94.. x42 - 4.45628648004517*b118 =L= 0;
e95.. x43 - 4.45628648004517*b119 =L= 0;
e96.. x44 - 4.45628648004517*b120 =L= 0;
e97.. x45 - 4.45628648004517*b121 =L= 0;
e98.. x46 - 30*b118 =L= 0;
e99.. x47 - 30*b119 =L= 0;
e100.. x48 - 30*b120 =L= 0;
e101.. x49 - 30*b121 =L= 0;
e102.. x58 - 15*b118 =L= 0;
e103.. x59 - 15*b119 =L= 0;
e104.. x60 - 15*b120 =L= 0;
e105.. x61 - 15*b121 =L= 0;
e106.. -1.25*log(1 + x62) + x82 + b122 =L= 1;
e107.. -1.25*log(1 + x63) + x83 + b123 =L= 1;
e108.. -1.25*log(1 + x64) + x84 + b124 =L= 1;
e109.. -1.25*log(1 + x65) + x85 + b125 =L= 1;
e110.. x62 - 3.34221486003388*b122 =L= 0;
e111.. x63 - 3.34221486003388*b123 =L= 0;
e112.. x64 - 3.34221486003388*b124 =L= 0;
e113.. x65 - 3.34221486003388*b125 =L= 0;
e114.. x82 - 1.83548069293539*b122 =L= 0;
e115.. x83 - 1.83548069293539*b123 =L= 0;
e116.. x84 - 1.83548069293539*b124 =L= 0;
e117.. x85 - 1.83548069293539*b125 =L= 0;
e118.. -0.9*log(1 + x66) + x86 + b126 =L= 1;
e119.. -0.9*log(1 + x67) + x87 + b127 =L= 1;
e120.. -0.9*log(1 + x68) + x88 + b128 =L= 1;
e121.. -0.9*log(1 + x69) + x89 + b129 =L= 1;
e122.. x66 - 3.34221486003388*b126 =L= 0;
e123.. x67 - 3.34221486003388*b127 =L= 0;
e124.. x68 - 3.34221486003388*b128 =L= 0;
e125.. x69 - 3.34221486003388*b129 =L= 0;
e126.. x86 - 1.32154609891348*b126 =L= 0;
e127.. x87 - 1.32154609891348*b127 =L= 0;
e128.. x88 - 1.32154609891348*b128 =L= 0;
e129.. x89 - 1.32154609891348*b129 =L= 0;
e130.. -log(1 + x54) + x90 + b130 =L= 1;
e131.. -log(1 + x55) + x91 + b131 =L= 1;
e132.. -log(1 + x56) + x92 + b132 =L= 1;
e133.. -log(1 + x57) + x93 + b133 =L= 1;
e134.. x54 - 2.54515263975353*b130 =L= 0;
e135.. x55 - 2.54515263975353*b131 =L= 0;
e136.. x56 - 2.54515263975353*b132 =L= 0;
e137.. x57 - 2.54515263975353*b133 =L= 0;
e138.. x90 - 1.26558121681553*b130 =L= 0;
e139.. x91 - 1.26558121681553*b131 =L= 0;
e140.. x92 - 1.26558121681553*b132 =L= 0;
e141.. x93 - 1.26558121681553*b133 =L= 0;
e142.. - 0.9*x70 + x94 + b134 =L= 1;
e143.. - 0.9*x71 + x95 + b135 =L= 1;
e144.. - 0.9*x72 + x96 + b136 =L= 1;
e145.. - 0.9*x73 + x97 + b137 =L= 1;
e146.. - 0.9*x70 + x94 - b134 =G= -1;
e147.. - 0.9*x71 + x95 - b135 =G= -1;
e148.. - 0.9*x72 + x96 - b136 =G= -1;
e149.. - 0.9*x73 + x97 - b137 =G= -1;
e150.. x70 - 15*b134 =L= 0;
e151.. x71 - 15*b135 =L= 0;
e152.. x72 - 15*b136 =L= 0;
e153.. x73 - 15*b137 =L= 0;
e154.. x94 - 13.5*b134 =L= 0;
e155.. x95 - 13.5*b135 =L= 0;
e156.. x96 - 13.5*b136 =L= 0;
e157.. x97 - 13.5*b137 =L= 0;
e158.. - 0.6*x74 + x98 + b138 =L= 1;
e159.. - 0.6*x75 + x99 + b139 =L= 1;
e160.. - 0.6*x76 + x100 + b140 =L= 1;
e161.. - 0.6*x77 + x101 + b141 =L= 1;
e162.. - 0.6*x74 + x98 - b138 =G= -1;
e163.. - 0.6*x75 + x99 - b139 =G= -1;
e164.. - 0.6*x76 + x100 - b140 =G= -1;
e165.. - 0.6*x77 + x101 - b141 =G= -1;
e166.. x74 - 15*b138 =L= 0;
e167.. x75 - 15*b139 =L= 0;
e168.. x76 - 15*b140 =L= 0;
e169.. x77 - 15*b141 =L= 0;
e170.. x98 - 9*b138 =L= 0;
e171.. x99 - 9*b139 =L= 0;
e172.. x100 - 9*b140 =L= 0;
e173.. x101 - 9*b141 =L= 0;
e174.. 5*b142 + x182 =L= 0;
e175.. 4*b143 + x183 =L= 0;
e176.. 6*b144 + x184 =L= 0;
e177.. 3*b145 + x185 =L= 0;
e178.. 8*b146 + x186 =L= 0;
e179.. 7*b147 + x187 =L= 0;
e180.. 6*b148 + x188 =L= 0;
e181.. 5*b149 + x189 =L= 0;
e182.. 6*b150 + x190 =L= 0;
e183.. 9*b151 + x191 =L= 0;
e184.. 4*b152 + x192 =L= 0;
e185.. 3*b153 + x193 =L= 0;
e186.. 10*b154 + x194 =L= 0;
e187.. 9*b155 + x195 =L= 0;
e188.. 5*b156 + x196 =L= 0;
e189.. 6*b157 + x197 =L= 0;
e190.. 6*b158 + x198 =L= 0;
e191.. 10*b159 + x199 =L= 0;
e192.. 6*b160 + x200 =L= 0;
e193.. 9*b161 + x201 =L= 0;
e194.. 7*b162 + x202 =L= 0;
e195.. 7*b163 + x203 =L= 0;
e196.. 4*b164 + x204 =L= 0;
e197.. 2*b165 + x205 =L= 0;
e198.. 4*b166 + x206 =L= 0;
e199.. 3*b167 + x207 =L= 0;
e200.. 2*b168 + x208 =L= 0;
e201.. 8*b169 + x209 =L= 0;
e202.. 5*b170 + x210 =L= 0;
e203.. 6*b171 + x211 =L= 0;
e204.. 7*b172 + x212 =L= 0;
e205.. 4*b173 + x213 =L= 0;
e206.. 2*b174 + x214 =L= 0;
e207.. 5*b175 + x215 =L= 0;
e208.. 2*b176 + x216 =L= 0;
e209.. 6*b177 + x217 =L= 0;
e210.. 4*b178 + x218 =L= 0;
e211.. 7*b179 + x219 =L= 0;
e212.. 4*b180 + x220 =L= 0;
e213.. 7*b181 + x221 =L= 0;
e214.. 5*b142 + x182 =G= 0;
e215.. 4*b143 + x183 =G= 0;
e216.. 6*b144 + x184 =G= 0;
e217.. 3*b145 + x185 =G= 0;
e218.. 8*b146 + x186 =G= 0;
e219.. 7*b147 + x187 =G= 0;
e220.. 6*b148 + x188 =G= 0;
e221.. 5*b149 + x189 =G= 0;
e222.. 6*b150 + x190 =G= 0;
e223.. 9*b151 + x191 =G= 0;
e224.. 4*b152 + x192 =G= 0;
e225.. 3*b153 + x193 =G= 0;
e226.. 10*b154 + x194 =G= 0;
e227.. 9*b155 + x195 =G= 0;
e228.. 5*b156 + x196 =G= 0;
e229.. 6*b157 + x197 =G= 0;
e230.. 6*b158 + x198 =G= 0;
e231.. 10*b159 + x199 =G= 0;
e232.. 6*b160 + x200 =G= 0;
e233.. 9*b161 + x201 =G= 0;
e234.. 7*b162 + x202 =G= 0;
e235.. 7*b163 + x203 =G= 0;
e236.. 4*b164 + x204 =G= 0;
e237.. 2*b165 + x205 =G= 0;
e238.. 4*b166 + x206 =G= 0;
e239.. 3*b167 + x207 =G= 0;
e240.. 2*b168 + x208 =G= 0;
e241.. 8*b169 + x209 =G= 0;
e242.. 5*b170 + x210 =G= 0;
e243.. 6*b171 + x211 =G= 0;
e244.. 7*b172 + x212 =G= 0;
e245.. 4*b173 + x213 =G= 0;
e246.. 2*b174 + x214 =G= 0;
e247.. 5*b175 + x215 =G= 0;
e248.. 2*b176 + x216 =G= 0;
e249.. 6*b177 + x217 =G= 0;
e250.. 4*b178 + x218 =G= 0;
e251.. 7*b179 + x219 =G= 0;
e252.. 4*b180 + x220 =G= 0;
e253.. 7*b181 + x221 =G= 0;
e254.. b102 - b103 =L= 0;
e255.. b102 - b104 =L= 0;
e256.. b102 - b105 =L= 0;
e257.. b103 - b104 =L= 0;
e258.. b103 - b105 =L= 0;
e259.. b104 - b105 =L= 0;
e260.. b106 - b107 =L= 0;
e261.. b106 - b108 =L= 0;
e262.. b106 - b109 =L= 0;
e263.. b107 - b108 =L= 0;
e264.. b107 - b109 =L= 0;
e265.. b108 - b109 =L= 0;
e266.. b110 - b111 =L= 0;
e267.. b110 - b112 =L= 0;
e268.. b110 - b113 =L= 0;
e269.. b111 - b112 =L= 0;
e270.. b111 - b113 =L= 0;
e271.. b112 - b113 =L= 0;
e272.. b114 - b115 =L= 0;
e273.. b114 - b116 =L= 0;
e274.. b114 - b117 =L= 0;
e275.. b115 - b116 =L= 0;
e276.. b115 - b117 =L= 0;
e277.. b116 - b117 =L= 0;
e278.. b118 - b119 =L= 0;
e279.. b118 - b120 =L= 0;
e280.. b118 - b121 =L= 0;
e281.. b119 - b120 =L= 0;
e282.. b119 - b121 =L= 0;
e283.. b120 - b121 =L= 0;
e284.. b122 - b123 =L= 0;
e285.. b122 - b124 =L= 0;
e286.. b122 - b125 =L= 0;
e287.. b123 - b124 =L= 0;
e288.. b123 - b125 =L= 0;
e289.. b124 - b125 =L= 0;
e290.. b126 - b127 =L= 0;
e291.. b126 - b128 =L= 0;
e292.. b126 - b129 =L= 0;
e293.. b127 - b128 =L= 0;
e294.. b127 - b129 =L= 0;
e295.. b128 - b129 =L= 0;
e296.. b130 - b131 =L= 0;
e297.. b130 - b132 =L= 0;
e298.. b130 - b133 =L= 0;
e299.. b131 - b132 =L= 0;
e300.. b131 - b133 =L= 0;
e301.. b132 - b133 =L= 0;
e302.. b134 - b135 =L= 0;
e303.. b134 - b136 =L= 0;
e304.. b134 - b137 =L= 0;
e305.. b135 - b136 =L= 0;
e306.. b135 - b137 =L= 0;
e307.. b136 - b137 =L= 0;
e308.. b138 - b139 =L= 0;
e309.. b138 - b140 =L= 0;
e310.. b138 - b141 =L= 0;
e311.. b139 - b140 =L= 0;
e312.. b139 - b141 =L= 0;
e313.. b140 - b141 =L= 0;
e314.. b142 + b143 =L= 1;
e315.. b142 + b144 =L= 1;
e316.. b142 + b145 =L= 1;
e317.. b142 + b143 =L= 1;
e318.. b143 + b144 =L= 1;
e319.. b143 + b145 =L= 1;
e320.. b142 + b144 =L= 1;
e321.. b143 + b144 =L= 1;
e322.. b144 + b145 =L= 1;
e323.. b142 + b145 =L= 1;
e324.. b143 + b145 =L= 1;
e325.. b144 + b145 =L= 1;
e326.. b146 + b147 =L= 1;
e327.. b146 + b148 =L= 1;
e328.. b146 + b149 =L= 1;
e329.. b146 + b147 =L= 1;
e330.. b147 + b148 =L= 1;
e331.. b147 + b149 =L= 1;
e332.. b146 + b148 =L= 1;
e333.. b147 + b148 =L= 1;
e334.. b148 + b149 =L= 1;
e335.. b146 + b149 =L= 1;
e336.. b147 + b149 =L= 1;
e337.. b148 + b149 =L= 1;
e338.. b150 + b151 =L= 1;
e339.. b150 + b152 =L= 1;
e340.. b150 + b153 =L= 1;
e341.. b150 + b151 =L= 1;
e342.. b151 + b152 =L= 1;
e343.. b151 + b153 =L= 1;
e344.. b150 + b152 =L= 1;
e345.. b151 + b152 =L= 1;
e346.. b152 + b153 =L= 1;
e347.. b150 + b153 =L= 1;
e348.. b151 + b153 =L= 1;
e349.. b152 + b153 =L= 1;
e350.. b154 + b155 =L= 1;
e351.. b154 + b156 =L= 1;
e352.. b154 + b157 =L= 1;
e353.. b154 + b155 =L= 1;
e354.. b155 + b156 =L= 1;
e355.. b155 + b157 =L= 1;
e356.. b154 + b156 =L= 1;
e357.. b155 + b156 =L= 1;
e358.. b156 + b157 =L= 1;
e359.. b154 + b157 =L= 1;
e360.. b155 + b157 =L= 1;
e361.. b156 + b157 =L= 1;
e362.. b158 + b159 =L= 1;
e363.. b158 + b160 =L= 1;
e364.. b158 + b161 =L= 1;
e365.. b158 + b159 =L= 1;
e366.. b159 + b160 =L= 1;
e367.. b159 + b161 =L= 1;
e368.. b158 + b160 =L= 1;
e369.. b159 + b160 =L= 1;
e370.. b160 + b161 =L= 1;
e371.. b158 + b161 =L= 1;
e372.. b159 + b161 =L= 1;
e373.. b160 + b161 =L= 1;
e374.. b162 + b163 =L= 1;
e375.. b162 + b164 =L= 1;
e376.. b162 + b165 =L= 1;
e377.. b162 + b163 =L= 1;
e378.. b163 + b164 =L= 1;
e379.. b163 + b165 =L= 1;
e380.. b162 + b164 =L= 1;
e381.. b163 + b164 =L= 1;
e382.. b164 + b165 =L= 1;
e383.. b162 + b165 =L= 1;
e384.. b163 + b165 =L= 1;
e385.. b164 + b165 =L= 1;
e386.. b166 + b167 =L= 1;
e387.. b166 + b168 =L= 1;
e388.. b166 + b169 =L= 1;
e389.. b166 + b167 =L= 1;
e390.. b167 + b168 =L= 1;
e391.. b167 + b169 =L= 1;
e392.. b166 + b168 =L= 1;
e393.. b167 + b168 =L= 1;
e394.. b168 + b169 =L= 1;
e395.. b166 + b169 =L= 1;
e396.. b167 + b169 =L= 1;
e397.. b168 + b169 =L= 1;
e398.. b170 + b171 =L= 1;
e399.. b170 + b172 =L= 1;
e400.. b170 + b173 =L= 1;
e401.. b170 + b171 =L= 1;
e402.. b171 + b172 =L= 1;
e403.. b171 + b173 =L= 1;
e404.. b170 + b172 =L= 1;
e405.. b171 + b172 =L= 1;
e406.. b172 + b173 =L= 1;
e407.. b170 + b173 =L= 1;
e408.. b171 + b173 =L= 1;
e409.. b172 + b173 =L= 1;
e410.. b174 + b175 =L= 1;
e411.. b174 + b176 =L= 1;
e412.. b174 + b177 =L= 1;
e413.. b174 + b175 =L= 1;
e414.. b175 + b176 =L= 1;
e415.. b175 + b177 =L= 1;
e416.. b174 + b176 =L= 1;
e417.. b175 + b176 =L= 1;
e418.. b176 + b177 =L= 1;
e419.. b174 + b177 =L= 1;
e420.. b175 + b177 =L= 1;
e421.. b176 + b177 =L= 1;
e422.. b178 + b179 =L= 1;
e423.. b178 + b180 =L= 1;
e424.. b178 + b181 =L= 1;
e425.. b178 + b179 =L= 1;
e426.. b179 + b180 =L= 1;
e427.. b179 + b181 =L= 1;
e428.. b178 + b180 =L= 1;
e429.. b179 + b180 =L= 1;
e430.. b180 + b181 =L= 1;
e431.. b178 + b181 =L= 1;
e432.. b179 + b181 =L= 1;
e433.. b180 + b181 =L= 1;
e434.. b102 - b142 =L= 0;
e435.. - b102 + b103 - b143 =L= 0;
e436.. - b102 - b103 + b104 - b144 =L= 0;
e437.. - b102 - b103 - b104 + b105 - b145 =L= 0;
e438.. b106 - b146 =L= 0;
e439.. - b106 + b107 - b147 =L= 0;
e440.. - b106 - b107 + b108 - b148 =L= 0;
e441.. - b106 - b107 - b108 + b109 - b149 =L= 0;
e442.. b110 - b150 =L= 0;
e443.. - b110 + b111 - b151 =L= 0;
e444.. - b110 - b111 + b112 - b152 =L= 0;
e445.. - b110 - b111 - b112 + b113 - b153 =L= 0;
e446.. b114 - b154 =L= 0;
e447.. - b114 + b115 - b155 =L= 0;
e448.. - b114 - b115 + b116 - b156 =L= 0;
e449.. - b114 - b115 - b116 + b117 - b157 =L= 0;
e450.. b118 - b158 =L= 0;
e451.. - b118 + b119 - b159 =L= 0;
e452.. - b118 - b119 + b120 - b160 =L= 0;
e453.. - b118 - b119 - b120 + b121 - b161 =L= 0;
e454.. b122 - b162 =L= 0;
e455.. - b122 + b123 - b163 =L= 0;
e456.. - b122 - b123 + b124 - b164 =L= 0;
e457.. - b122 - b123 - b124 + b125 - b165 =L= 0;
e458.. b126 - b166 =L= 0;
e459.. - b126 + b127 - b167 =L= 0;
e460.. - b126 - b127 + b128 - b168 =L= 0;
e461.. - b126 - b127 - b128 + b129 - b169 =L= 0;
e462.. b130 - b170 =L= 0;
e463.. - b130 + b131 - b171 =L= 0;
e464.. - b130 - b131 + b132 - b172 =L= 0;
e465.. - b130 - b131 - b132 + b133 - b173 =L= 0;
e466.. b134 - b174 =L= 0;
e467.. - b134 + b135 - b175 =L= 0;
e468.. - b134 - b135 + b136 - b176 =L= 0;
e469.. - b134 - b135 - b136 + b137 - b177 =L= 0;
e470.. b138 - b178 =L= 0;
e471.. - b138 + b139 - b179 =L= 0;
e472.. - b138 - b139 + b140 - b180 =L= 0;
e473.. - b138 - b139 - b140 + b141 - b181 =L= 0;
e474.. b102 + b106 =E= 1;
e475.. b103 + b107 =E= 1;
e476.. b104 + b108 =E= 1;
e477.. b105 + b109 =E= 1;
e478.. - b110 + b122 + b126 =G= 0;
e479.. - b111 + b123 + b127 =G= 0;
e480.. - b112 + b124 + b128 =G= 0;
e481.. - b113 + b125 + b129 =G= 0;
e482.. - b114 + b130 =G= 0;
e483.. - b115 + b131 =G= 0;
e484.. - b116 + b132 =G= 0;
e485.. - b117 + b133 =G= 0;
e486.. b102 + b106 - b110 =G= 0;
e487.. b103 + b107 - b111 =G= 0;
e488.. b104 + b108 - b112 =G= 0;
e489.. b105 + b109 - b113 =G= 0;
e490.. b102 + b106 - b114 =G= 0;
e491.. b103 + b107 - b115 =G= 0;
e492.. b104 + b108 - b116 =G= 0;
e493.. b105 + b109 - b117 =G= 0;
e494.. b102 + b106 - b118 =G= 0;
e495.. b103 + b107 - b119 =G= 0;
e496.. b104 + b108 - b120 =G= 0;
e497.. b105 + b109 - b121 =G= 0;
e498.. b110 - b122 =G= 0;
e499.. b111 - b123 =G= 0;
e500.. b112 - b124 =G= 0;
e501.. b113 - b125 =G= 0;
e502.. b110 - b126 =G= 0;
e503.. b111 - b127 =G= 0;
e504.. b112 - b128 =G= 0;
e505.. b113 - b129 =G= 0;
e506.. b114 - b130 =G= 0;
e507.. b115 - b131 =G= 0;
e508.. b116 - b132 =G= 0;
e509.. b117 - b133 =G= 0;
e510.. b118 - b134 =G= 0;
e511.. b119 - b135 =G= 0;
e512.. b120 - b136 =G= 0;
e513.. b121 - b137 =G= 0;
e514.. b118 - b138 =G= 0;
e515.. b119 - b139 =G= 0;
e516.. b120 - b140 =G= 0;
e517.. b121 - b141 =G= 0;
* set non-default bounds
x2.up = 40;
x3.up = 40;
x4.up = 40;
x5.up = 40;
x46.up = 30;
x47.up = 30;
x48.up = 30;
x49.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