MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Removed Instance syn10m03h
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ⓘ | 3354.68825400 (ALPHAECP) 3428.19920500 (ANTIGONE) 3354.68337000 (BARON) 3354.68336700 (BONMIN) 3354.68349600 (COUENNE) 3354.68336700 (LINDO) 3354.68382600 (SCIP) 3354.68429700 (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ⓘ | Syn10M03H.gms from CMU-IBM MINLP solver project page |
| Applicationⓘ | Synthesis of processing system |
| Added to libraryⓘ | 28 Sep 2013 |
| Removed from libraryⓘ | 16 Feb 2022 |
| Removed becauseⓘ | Superseded by syn10m03hfsg. |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 291 |
| #Binary Variablesⓘ | 60 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 54 |
| #Nonlinear Binary Variablesⓘ | 18 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | max |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 57 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 486 |
| #Linear Constraintsⓘ | 468 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 18 |
| Operands in Gen. Nonlin. Functionsⓘ | div log mul |
| Constraints curvatureⓘ | convex |
| #Nonzeros in Jacobianⓘ | 1056 |
| #Nonlinear Nonzeros in Jacobianⓘ | 54 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 108 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 36 |
| #Blocks in Hessian of Lagrangianⓘ | 18 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 3 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 3 |
| Average blocksize in Hessian of Lagrangianⓘ | 3.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.0000e-06 |
| 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
* 487 193 30 264 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 292 232 60 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1114 1060 54 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
,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154
,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167
,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180
,x181,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,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232
,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,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271
,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284
,b285,b286,b287,b288,b289,b290,b291,b292;
Positive Variables 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,x142,x143,x144,x145,x146,x147,x148,x149
,x150,x151,x152,x153,x154,x155,x156,x157,x158,x159,x160,x161,x162
,x163,x164,x165,x166,x167,x168,x169,x170,x171,x172,x173,x174,x175
,x176,x177,x178,x179,x180,x181,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,x222,x223,x224,x225,x226,x227
,x228,x229,x230,x231,x232;
Binary Variables 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,b262,b263,b264,b265,b266,b267,b268,b269,b270
,b271,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283
,b284,b285,b286,b287,b288,b289,b290,b291,b292;
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;
e1.. objvar + x32 + x33 + x34 - 5*x50 - 10*x51 - 5*x52 + 2*x65 + x66 + 2*x67
- 80*x89 - 90*x90 - 120*x91 - 285*x92 - 390*x93 - 350*x94 - 290*x95
- 405*x96 - 190*x97 - 280*x98 - 400*x99 - 430*x100 - 290*x101 - 300*x102
- 240*x103 - 350*x104 - 250*x105 - 300*x106 + 5*b263 + 4*b264 + 6*b265
+ 8*b266 + 7*b267 + 6*b268 + 6*b269 + 9*b270 + 4*b271 + 10*b272 + 9*b273
+ 5*b274 + 6*b275 + 10*b276 + 6*b277 + 7*b278 + 7*b279 + 4*b280 + 4*b281
+ 3*b282 + 2*b283 + 5*b284 + 6*b285 + 7*b286 + 2*b287 + 5*b288 + 2*b289
+ 4*b290 + 7*b291 + 4*b292 =E= 0;
e2.. x32 - x35 - x38 =E= 0;
e3.. x33 - x36 - x39 =E= 0;
e4.. x34 - x37 - x40 =E= 0;
e5.. - x41 - x44 + x47 =E= 0;
e6.. - x42 - x45 + x48 =E= 0;
e7.. - x43 - x46 + x49 =E= 0;
e8.. x47 - x50 - x53 =E= 0;
e9.. x48 - x51 - x54 =E= 0;
e10.. x49 - x52 - x55 =E= 0;
e11.. x53 - x56 - x59 - x62 =E= 0;
e12.. x54 - x57 - x60 - x63 =E= 0;
e13.. x55 - x58 - x61 - x64 =E= 0;
e14.. x68 - x77 - x80 =E= 0;
e15.. x69 - x78 - x81 =E= 0;
e16.. x70 - x79 - x82 =E= 0;
e17.. x74 - x83 - x86 - x89 =E= 0;
e18.. x75 - x84 - x87 - x90 =E= 0;
e19.. x76 - x85 - x88 - x91 =E= 0;
e20.. (x119/(1e-6 + b233) - log(1 + x107/(1e-6 + b233)))*(1e-6 + b233) =L= 0;
e21.. (x120/(1e-6 + b234) - log(1 + x108/(1e-6 + b234)))*(1e-6 + b234) =L= 0;
e22.. (x121/(1e-6 + b235) - log(1 + x109/(1e-6 + b235)))*(1e-6 + b235) =L= 0;
e23.. x110 =E= 0;
e24.. x111 =E= 0;
e25.. x112 =E= 0;
e26.. x122 =E= 0;
e27.. x123 =E= 0;
e28.. x124 =E= 0;
e29.. x35 - x107 - x110 =E= 0;
e30.. x36 - x108 - x111 =E= 0;
e31.. x37 - x109 - x112 =E= 0;
e32.. x41 - x119 - x122 =E= 0;
e33.. x42 - x120 - x123 =E= 0;
e34.. x43 - x121 - x124 =E= 0;
e35.. x107 - 40*b233 =L= 0;
e36.. x108 - 40*b234 =L= 0;
e37.. x109 - 40*b235 =L= 0;
e38.. x110 + 40*b233 =L= 40;
e39.. x111 + 40*b234 =L= 40;
e40.. x112 + 40*b235 =L= 40;
e41.. x119 - 3.71357206670431*b233 =L= 0;
e42.. x120 - 3.71357206670431*b234 =L= 0;
e43.. x121 - 3.71357206670431*b235 =L= 0;
e44.. x122 + 3.71357206670431*b233 =L= 3.71357206670431;
e45.. x123 + 3.71357206670431*b234 =L= 3.71357206670431;
e46.. x124 + 3.71357206670431*b235 =L= 3.71357206670431;
e47.. (x125/(1e-6 + b236) - 1.2*log(1 + x113/(1e-6 + b236)))*(1e-6 + b236)
=L= 0;
e48.. (x126/(1e-6 + b237) - 1.2*log(1 + x114/(1e-6 + b237)))*(1e-6 + b237)
=L= 0;
e49.. (x127/(1e-6 + b238) - 1.2*log(1 + x115/(1e-6 + b238)))*(1e-6 + b238)
=L= 0;
e50.. x116 =E= 0;
e51.. x117 =E= 0;
e52.. x118 =E= 0;
e53.. x128 =E= 0;
e54.. x129 =E= 0;
e55.. x130 =E= 0;
e56.. x38 - x113 - x116 =E= 0;
e57.. x39 - x114 - x117 =E= 0;
e58.. x40 - x115 - x118 =E= 0;
e59.. x44 - x125 - x128 =E= 0;
e60.. x45 - x126 - x129 =E= 0;
e61.. x46 - x127 - x130 =E= 0;
e62.. x113 - 40*b236 =L= 0;
e63.. x114 - 40*b237 =L= 0;
e64.. x115 - 40*b238 =L= 0;
e65.. x116 + 40*b236 =L= 40;
e66.. x117 + 40*b237 =L= 40;
e67.. x118 + 40*b238 =L= 40;
e68.. x125 - 4.45628648004517*b236 =L= 0;
e69.. x126 - 4.45628648004517*b237 =L= 0;
e70.. x127 - 4.45628648004517*b238 =L= 0;
e71.. x128 + 4.45628648004517*b236 =L= 4.45628648004517;
e72.. x129 + 4.45628648004517*b237 =L= 4.45628648004517;
e73.. x130 + 4.45628648004517*b238 =L= 4.45628648004517;
e74.. - 0.75*x131 + x155 =E= 0;
e75.. - 0.75*x132 + x156 =E= 0;
e76.. - 0.75*x133 + x157 =E= 0;
e77.. x134 =E= 0;
e78.. x135 =E= 0;
e79.. x136 =E= 0;
e80.. x158 =E= 0;
e81.. x159 =E= 0;
e82.. x160 =E= 0;
e83.. x56 - x131 - x134 =E= 0;
e84.. x57 - x132 - x135 =E= 0;
e85.. x58 - x133 - x136 =E= 0;
e86.. x68 - x155 - x158 =E= 0;
e87.. x69 - x156 - x159 =E= 0;
e88.. x70 - x157 - x160 =E= 0;
e89.. x131 - 4.45628648004517*b239 =L= 0;
e90.. x132 - 4.45628648004517*b240 =L= 0;
e91.. x133 - 4.45628648004517*b241 =L= 0;
e92.. x134 + 4.45628648004517*b239 =L= 4.45628648004517;
e93.. x135 + 4.45628648004517*b240 =L= 4.45628648004517;
e94.. x136 + 4.45628648004517*b241 =L= 4.45628648004517;
e95.. x155 - 3.34221486003388*b239 =L= 0;
e96.. x156 - 3.34221486003388*b240 =L= 0;
e97.. x157 - 3.34221486003388*b241 =L= 0;
e98.. x158 + 3.34221486003388*b239 =L= 3.34221486003388;
e99.. x159 + 3.34221486003388*b240 =L= 3.34221486003388;
e100.. x160 + 3.34221486003388*b241 =L= 3.34221486003388;
e101.. (x161/(1e-6 + b242) - 1.5*log(1 + x137/(1e-6 + b242)))*(1e-6 + b242)
=L= 0;
e102.. (x162/(1e-6 + b243) - 1.5*log(1 + x138/(1e-6 + b243)))*(1e-6 + b243)
=L= 0;
e103.. (x163/(1e-6 + b244) - 1.5*log(1 + x139/(1e-6 + b244)))*(1e-6 + b244)
=L= 0;
e104.. x140 =E= 0;
e105.. x141 =E= 0;
e106.. x142 =E= 0;
e107.. x167 =E= 0;
e108.. x168 =E= 0;
e109.. x169 =E= 0;
e110.. x59 - x137 - x140 =E= 0;
e111.. x60 - x138 - x141 =E= 0;
e112.. x61 - x139 - x142 =E= 0;
e113.. x71 - x161 - x167 =E= 0;
e114.. x72 - x162 - x168 =E= 0;
e115.. x73 - x163 - x169 =E= 0;
e116.. x137 - 4.45628648004517*b242 =L= 0;
e117.. x138 - 4.45628648004517*b243 =L= 0;
e118.. x139 - 4.45628648004517*b244 =L= 0;
e119.. x140 + 4.45628648004517*b242 =L= 4.45628648004517;
e120.. x141 + 4.45628648004517*b243 =L= 4.45628648004517;
e121.. x142 + 4.45628648004517*b244 =L= 4.45628648004517;
e122.. x161 - 2.54515263975353*b242 =L= 0;
e123.. x162 - 2.54515263975353*b243 =L= 0;
e124.. x163 - 2.54515263975353*b244 =L= 0;
e125.. x167 + 2.54515263975353*b242 =L= 2.54515263975353;
e126.. x168 + 2.54515263975353*b243 =L= 2.54515263975353;
e127.. x169 + 2.54515263975353*b244 =L= 2.54515263975353;
e128.. - x143 + x173 =E= 0;
e129.. - x144 + x174 =E= 0;
e130.. - x145 + x175 =E= 0;
e131.. - 0.5*x149 + x173 =E= 0;
e132.. - 0.5*x150 + x174 =E= 0;
e133.. - 0.5*x151 + x175 =E= 0;
e134.. x146 =E= 0;
e135.. x147 =E= 0;
e136.. x148 =E= 0;
e137.. x152 =E= 0;
e138.. x153 =E= 0;
e139.. x154 =E= 0;
e140.. x176 =E= 0;
e141.. x177 =E= 0;
e142.. x178 =E= 0;
e143.. x62 - x143 - x146 =E= 0;
e144.. x63 - x144 - x147 =E= 0;
e145.. x64 - x145 - x148 =E= 0;
e146.. x65 - x149 - x152 =E= 0;
e147.. x66 - x150 - x153 =E= 0;
e148.. x67 - x151 - x154 =E= 0;
e149.. x74 - x173 - x176 =E= 0;
e150.. x75 - x174 - x177 =E= 0;
e151.. x76 - x175 - x178 =E= 0;
e152.. x143 - 4.45628648004517*b245 =L= 0;
e153.. x144 - 4.45628648004517*b246 =L= 0;
e154.. x145 - 4.45628648004517*b247 =L= 0;
e155.. x146 + 4.45628648004517*b245 =L= 4.45628648004517;
e156.. x147 + 4.45628648004517*b246 =L= 4.45628648004517;
e157.. x148 + 4.45628648004517*b247 =L= 4.45628648004517;
e158.. x149 - 30*b245 =L= 0;
e159.. x150 - 30*b246 =L= 0;
e160.. x151 - 30*b247 =L= 0;
e161.. x152 + 30*b245 =L= 30;
e162.. x153 + 30*b246 =L= 30;
e163.. x154 + 30*b247 =L= 30;
e164.. x173 - 15*b245 =L= 0;
e165.. x174 - 15*b246 =L= 0;
e166.. x175 - 15*b247 =L= 0;
e167.. x176 + 15*b245 =L= 15;
e168.. x177 + 15*b246 =L= 15;
e169.. x178 + 15*b247 =L= 15;
e170.. (x203/(1e-6 + b248) - 1.25*log(1 + x179/(1e-6 + b248)))*(1e-6 + b248)
=L= 0;
e171.. (x204/(1e-6 + b249) - 1.25*log(1 + x180/(1e-6 + b249)))*(1e-6 + b249)
=L= 0;
e172.. (x205/(1e-6 + b250) - 1.25*log(1 + x181/(1e-6 + b250)))*(1e-6 + b250)
=L= 0;
e173.. x182 =E= 0;
e174.. x183 =E= 0;
e175.. x184 =E= 0;
e176.. x206 =E= 0;
e177.. x207 =E= 0;
e178.. x208 =E= 0;
e179.. x77 - x179 - x182 =E= 0;
e180.. x78 - x180 - x183 =E= 0;
e181.. x79 - x181 - x184 =E= 0;
e182.. x92 - x203 - x206 =E= 0;
e183.. x93 - x204 - x207 =E= 0;
e184.. x94 - x205 - x208 =E= 0;
e185.. x179 - 3.34221486003388*b248 =L= 0;
e186.. x180 - 3.34221486003388*b249 =L= 0;
e187.. x181 - 3.34221486003388*b250 =L= 0;
e188.. x182 + 3.34221486003388*b248 =L= 3.34221486003388;
e189.. x183 + 3.34221486003388*b249 =L= 3.34221486003388;
e190.. x184 + 3.34221486003388*b250 =L= 3.34221486003388;
e191.. x203 - 1.83548069293539*b248 =L= 0;
e192.. x204 - 1.83548069293539*b249 =L= 0;
e193.. x205 - 1.83548069293539*b250 =L= 0;
e194.. x206 + 1.83548069293539*b248 =L= 1.83548069293539;
e195.. x207 + 1.83548069293539*b249 =L= 1.83548069293539;
e196.. x208 + 1.83548069293539*b250 =L= 1.83548069293539;
e197.. (x209/(1e-6 + b251) - 0.9*log(1 + x185/(1e-6 + b251)))*(1e-6 + b251)
=L= 0;
e198.. (x210/(1e-6 + b252) - 0.9*log(1 + x186/(1e-6 + b252)))*(1e-6 + b252)
=L= 0;
e199.. (x211/(1e-6 + b253) - 0.9*log(1 + x187/(1e-6 + b253)))*(1e-6 + b253)
=L= 0;
e200.. x188 =E= 0;
e201.. x189 =E= 0;
e202.. x190 =E= 0;
e203.. x212 =E= 0;
e204.. x213 =E= 0;
e205.. x214 =E= 0;
e206.. x80 - x185 - x188 =E= 0;
e207.. x81 - x186 - x189 =E= 0;
e208.. x82 - x187 - x190 =E= 0;
e209.. x95 - x209 - x212 =E= 0;
e210.. x96 - x210 - x213 =E= 0;
e211.. x97 - x211 - x214 =E= 0;
e212.. x185 - 3.34221486003388*b251 =L= 0;
e213.. x186 - 3.34221486003388*b252 =L= 0;
e214.. x187 - 3.34221486003388*b253 =L= 0;
e215.. x188 + 3.34221486003388*b251 =L= 3.34221486003388;
e216.. x189 + 3.34221486003388*b252 =L= 3.34221486003388;
e217.. x190 + 3.34221486003388*b253 =L= 3.34221486003388;
e218.. x209 - 1.32154609891348*b251 =L= 0;
e219.. x210 - 1.32154609891348*b252 =L= 0;
e220.. x211 - 1.32154609891348*b253 =L= 0;
e221.. x212 + 1.32154609891348*b251 =L= 1.32154609891348;
e222.. x213 + 1.32154609891348*b252 =L= 1.32154609891348;
e223.. x214 + 1.32154609891348*b253 =L= 1.32154609891348;
e224.. (x215/(1e-6 + b254) - log(1 + x164/(1e-6 + b254)))*(1e-6 + b254) =L= 0;
e225.. (x216/(1e-6 + b255) - log(1 + x165/(1e-6 + b255)))*(1e-6 + b255) =L= 0;
e226.. (x217/(1e-6 + b256) - log(1 + x166/(1e-6 + b256)))*(1e-6 + b256) =L= 0;
e227.. x170 =E= 0;
e228.. x171 =E= 0;
e229.. x172 =E= 0;
e230.. x218 =E= 0;
e231.. x219 =E= 0;
e232.. x220 =E= 0;
e233.. x71 - x164 - x170 =E= 0;
e234.. x72 - x165 - x171 =E= 0;
e235.. x73 - x166 - x172 =E= 0;
e236.. x98 - x215 - x218 =E= 0;
e237.. x99 - x216 - x219 =E= 0;
e238.. x100 - x217 - x220 =E= 0;
e239.. x164 - 2.54515263975353*b254 =L= 0;
e240.. x165 - 2.54515263975353*b255 =L= 0;
e241.. x166 - 2.54515263975353*b256 =L= 0;
e242.. x170 + 2.54515263975353*b254 =L= 2.54515263975353;
e243.. x171 + 2.54515263975353*b255 =L= 2.54515263975353;
e244.. x172 + 2.54515263975353*b256 =L= 2.54515263975353;
e245.. x215 - 1.26558121681553*b254 =L= 0;
e246.. x216 - 1.26558121681553*b255 =L= 0;
e247.. x217 - 1.26558121681553*b256 =L= 0;
e248.. x218 + 1.26558121681553*b254 =L= 1.26558121681553;
e249.. x219 + 1.26558121681553*b255 =L= 1.26558121681553;
e250.. x220 + 1.26558121681553*b256 =L= 1.26558121681553;
e251.. - 0.9*x191 + x221 =E= 0;
e252.. - 0.9*x192 + x222 =E= 0;
e253.. - 0.9*x193 + x223 =E= 0;
e254.. x194 =E= 0;
e255.. x195 =E= 0;
e256.. x196 =E= 0;
e257.. x224 =E= 0;
e258.. x225 =E= 0;
e259.. x226 =E= 0;
e260.. x83 - x191 - x194 =E= 0;
e261.. x84 - x192 - x195 =E= 0;
e262.. x85 - x193 - x196 =E= 0;
e263.. x101 - x221 - x224 =E= 0;
e264.. x102 - x222 - x225 =E= 0;
e265.. x103 - x223 - x226 =E= 0;
e266.. x191 - 15*b257 =L= 0;
e267.. x192 - 15*b258 =L= 0;
e268.. x193 - 15*b259 =L= 0;
e269.. x194 + 15*b257 =L= 15;
e270.. x195 + 15*b258 =L= 15;
e271.. x196 + 15*b259 =L= 15;
e272.. x221 - 13.5*b257 =L= 0;
e273.. x222 - 13.5*b258 =L= 0;
e274.. x223 - 13.5*b259 =L= 0;
e275.. x224 + 13.5*b257 =L= 13.5;
e276.. x225 + 13.5*b258 =L= 13.5;
e277.. x226 + 13.5*b259 =L= 13.5;
e278.. - 0.6*x197 + x227 =E= 0;
e279.. - 0.6*x198 + x228 =E= 0;
e280.. - 0.6*x199 + x229 =E= 0;
e281.. x200 =E= 0;
e282.. x201 =E= 0;
e283.. x202 =E= 0;
e284.. x230 =E= 0;
e285.. x231 =E= 0;
e286.. x232 =E= 0;
e287.. x86 - x197 - x200 =E= 0;
e288.. x87 - x198 - x201 =E= 0;
e289.. x88 - x199 - x202 =E= 0;
e290.. x104 - x227 - x230 =E= 0;
e291.. x105 - x228 - x231 =E= 0;
e292.. x106 - x229 - x232 =E= 0;
e293.. x197 - 15*b260 =L= 0;
e294.. x198 - 15*b261 =L= 0;
e295.. x199 - 15*b262 =L= 0;
e296.. x200 + 15*b260 =L= 15;
e297.. x201 + 15*b261 =L= 15;
e298.. x202 + 15*b262 =L= 15;
e299.. x227 - 9*b260 =L= 0;
e300.. x228 - 9*b261 =L= 0;
e301.. x229 - 9*b262 =L= 0;
e302.. x230 + 9*b260 =L= 9;
e303.. x231 + 9*b261 =L= 9;
e304.. x232 + 9*b262 =L= 9;
e305.. x2 + 5*b263 =E= 0;
e306.. x3 + 4*b264 =E= 0;
e307.. x4 + 6*b265 =E= 0;
e308.. x5 + 8*b266 =E= 0;
e309.. x6 + 7*b267 =E= 0;
e310.. x7 + 6*b268 =E= 0;
e311.. x8 + 6*b269 =E= 0;
e312.. x9 + 9*b270 =E= 0;
e313.. x10 + 4*b271 =E= 0;
e314.. x11 + 10*b272 =E= 0;
e315.. x12 + 9*b273 =E= 0;
e316.. x13 + 5*b274 =E= 0;
e317.. x14 + 6*b275 =E= 0;
e318.. x15 + 10*b276 =E= 0;
e319.. x16 + 6*b277 =E= 0;
e320.. x17 + 7*b278 =E= 0;
e321.. x18 + 7*b279 =E= 0;
e322.. x19 + 4*b280 =E= 0;
e323.. x20 + 4*b281 =E= 0;
e324.. x21 + 3*b282 =E= 0;
e325.. x22 + 2*b283 =E= 0;
e326.. x23 + 5*b284 =E= 0;
e327.. x24 + 6*b285 =E= 0;
e328.. x25 + 7*b286 =E= 0;
e329.. x26 + 2*b287 =E= 0;
e330.. x27 + 5*b288 =E= 0;
e331.. x28 + 2*b289 =E= 0;
e332.. x29 + 4*b290 =E= 0;
e333.. x30 + 7*b291 =E= 0;
e334.. x31 + 4*b292 =E= 0;
e335.. b233 - b234 =L= 0;
e336.. b233 - b235 =L= 0;
e337.. b234 - b235 =L= 0;
e338.. b236 - b237 =L= 0;
e339.. b236 - b238 =L= 0;
e340.. b237 - b238 =L= 0;
e341.. b239 - b240 =L= 0;
e342.. b239 - b241 =L= 0;
e343.. b240 - b241 =L= 0;
e344.. b242 - b243 =L= 0;
e345.. b242 - b244 =L= 0;
e346.. b243 - b244 =L= 0;
e347.. b245 - b246 =L= 0;
e348.. b245 - b247 =L= 0;
e349.. b246 - b247 =L= 0;
e350.. b248 - b249 =L= 0;
e351.. b248 - b250 =L= 0;
e352.. b249 - b250 =L= 0;
e353.. b251 - b252 =L= 0;
e354.. b251 - b253 =L= 0;
e355.. b252 - b253 =L= 0;
e356.. b254 - b255 =L= 0;
e357.. b254 - b256 =L= 0;
e358.. b255 - b256 =L= 0;
e359.. b257 - b258 =L= 0;
e360.. b257 - b259 =L= 0;
e361.. b258 - b259 =L= 0;
e362.. b260 - b261 =L= 0;
e363.. b260 - b262 =L= 0;
e364.. b261 - b262 =L= 0;
e365.. b263 + b264 =L= 1;
e366.. b263 + b265 =L= 1;
e367.. b263 + b264 =L= 1;
e368.. b264 + b265 =L= 1;
e369.. b263 + b265 =L= 1;
e370.. b264 + b265 =L= 1;
e371.. b266 + b267 =L= 1;
e372.. b266 + b268 =L= 1;
e373.. b266 + b267 =L= 1;
e374.. b267 + b268 =L= 1;
e375.. b266 + b268 =L= 1;
e376.. b267 + b268 =L= 1;
e377.. b269 + b270 =L= 1;
e378.. b269 + b271 =L= 1;
e379.. b269 + b270 =L= 1;
e380.. b270 + b271 =L= 1;
e381.. b269 + b271 =L= 1;
e382.. b270 + b271 =L= 1;
e383.. b272 + b273 =L= 1;
e384.. b272 + b274 =L= 1;
e385.. b272 + b273 =L= 1;
e386.. b273 + b274 =L= 1;
e387.. b272 + b274 =L= 1;
e388.. b273 + b274 =L= 1;
e389.. b275 + b276 =L= 1;
e390.. b275 + b277 =L= 1;
e391.. b275 + b276 =L= 1;
e392.. b276 + b277 =L= 1;
e393.. b275 + b277 =L= 1;
e394.. b276 + b277 =L= 1;
e395.. b278 + b279 =L= 1;
e396.. b278 + b280 =L= 1;
e397.. b278 + b279 =L= 1;
e398.. b279 + b280 =L= 1;
e399.. b278 + b280 =L= 1;
e400.. b279 + b280 =L= 1;
e401.. b281 + b282 =L= 1;
e402.. b281 + b283 =L= 1;
e403.. b281 + b282 =L= 1;
e404.. b282 + b283 =L= 1;
e405.. b281 + b283 =L= 1;
e406.. b282 + b283 =L= 1;
e407.. b284 + b285 =L= 1;
e408.. b284 + b286 =L= 1;
e409.. b284 + b285 =L= 1;
e410.. b285 + b286 =L= 1;
e411.. b284 + b286 =L= 1;
e412.. b285 + b286 =L= 1;
e413.. b287 + b288 =L= 1;
e414.. b287 + b289 =L= 1;
e415.. b287 + b288 =L= 1;
e416.. b288 + b289 =L= 1;
e417.. b287 + b289 =L= 1;
e418.. b288 + b289 =L= 1;
e419.. b290 + b291 =L= 1;
e420.. b290 + b292 =L= 1;
e421.. b290 + b291 =L= 1;
e422.. b291 + b292 =L= 1;
e423.. b290 + b292 =L= 1;
e424.. b291 + b292 =L= 1;
e425.. b233 - b263 =L= 0;
e426.. - b233 + b234 - b264 =L= 0;
e427.. - b233 - b234 + b235 - b265 =L= 0;
e428.. b236 - b266 =L= 0;
e429.. - b236 + b237 - b267 =L= 0;
e430.. - b236 - b237 + b238 - b268 =L= 0;
e431.. b239 - b269 =L= 0;
e432.. - b239 + b240 - b270 =L= 0;
e433.. - b239 - b240 + b241 - b271 =L= 0;
e434.. b242 - b272 =L= 0;
e435.. - b242 + b243 - b273 =L= 0;
e436.. - b242 - b243 + b244 - b274 =L= 0;
e437.. b245 - b275 =L= 0;
e438.. - b245 + b246 - b276 =L= 0;
e439.. - b245 - b246 + b247 - b277 =L= 0;
e440.. b248 - b278 =L= 0;
e441.. - b248 + b249 - b279 =L= 0;
e442.. - b248 - b249 + b250 - b280 =L= 0;
e443.. b251 - b281 =L= 0;
e444.. - b251 + b252 - b282 =L= 0;
e445.. - b251 - b252 + b253 - b283 =L= 0;
e446.. b254 - b284 =L= 0;
e447.. - b254 + b255 - b285 =L= 0;
e448.. - b254 - b255 + b256 - b286 =L= 0;
e449.. b257 - b287 =L= 0;
e450.. - b257 + b258 - b288 =L= 0;
e451.. - b257 - b258 + b259 - b289 =L= 0;
e452.. b260 - b290 =L= 0;
e453.. - b260 + b261 - b291 =L= 0;
e454.. - b260 - b261 + b262 - b292 =L= 0;
e455.. b233 + b236 =E= 1;
e456.. b234 + b237 =E= 1;
e457.. b235 + b238 =E= 1;
e458.. - b239 + b248 + b251 =G= 0;
e459.. - b240 + b249 + b252 =G= 0;
e460.. - b241 + b250 + b253 =G= 0;
e461.. - b242 + b254 =G= 0;
e462.. - b243 + b255 =G= 0;
e463.. - b244 + b256 =G= 0;
e464.. b233 + b236 - b239 =G= 0;
e465.. b234 + b237 - b240 =G= 0;
e466.. b235 + b238 - b241 =G= 0;
e467.. b233 + b236 - b242 =G= 0;
e468.. b234 + b237 - b243 =G= 0;
e469.. b235 + b238 - b244 =G= 0;
e470.. b233 + b236 - b245 =G= 0;
e471.. b234 + b237 - b246 =G= 0;
e472.. b235 + b238 - b247 =G= 0;
e473.. b239 - b248 =G= 0;
e474.. b240 - b249 =G= 0;
e475.. b241 - b250 =G= 0;
e476.. b239 - b251 =G= 0;
e477.. b240 - b252 =G= 0;
e478.. b241 - b253 =G= 0;
e479.. b242 - b254 =G= 0;
e480.. b243 - b255 =G= 0;
e481.. b244 - b256 =G= 0;
e482.. b245 - b257 =G= 0;
e483.. b246 - b258 =G= 0;
e484.. b247 - b259 =G= 0;
e485.. b245 - b260 =G= 0;
e486.. b246 - b261 =G= 0;
e487.. b247 - b262 =G= 0;
* set non-default bounds
x32.up = 40;
x33.up = 40;
x34.up = 40;
x65.up = 30;
x66.up = 30;
x67.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