MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Removed Instance syn40h
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ⓘ | 67.71342238 (ALPHAECP) 67.71338664 (ANTIGONE) 67.71338664 (BARON) 67.71338685 (BONMIN) 121.91969250 (COUENNE) 67.71338658 (LINDO) 67.71354892 (SCIP) 68.17843855 (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ⓘ | Syn40H.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| Removed becauseⓘ | Superseded by syn40hfsg. |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 302 |
| #Binary Variablesⓘ | 40 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 80 |
| #Nonlinear Binary Variablesⓘ | 26 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | max |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 66 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 466 |
| #Linear Constraintsⓘ | 438 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 28 |
| Operands in Gen. Nonlin. Functionsⓘ | div log mul |
| Constraints curvatureⓘ | convex |
| #Nonzeros in Jacobianⓘ | 1004 |
| #Nonlinear Nonzeros in Jacobianⓘ | 84 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 162 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 54 |
| #Blocks in Hessian of Lagrangianⓘ | 26 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 3 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 4 |
| Average blocksize in Hessian of Lagrangianⓘ | 3.076923 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.0000e-06 |
| Maximal coefficientⓘ | 3.5000e+02 |
| Infeasibility of initial pointⓘ | 1 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 467 213 54 200 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 303 263 40 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1071 987 84 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
,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245
,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258
,x259,x260,x261,x262,x263,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,b293,b294,b295,b296,b297
,b298,b299,b300,b301,b302,b303;
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,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,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244
,x245,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257
,x258,x259,x260,x261,x262,x263;
Binary Variables 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,b293,b294,b295,b296,b297,b298,b299,b300,b301
,b302,b303;
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;
e1.. objvar + x2 - 5*x8 + 2*x13 + 10*x30 + 5*x31 - 40*x38 - 15*x39 - 10*x40
- 30*x41 - 35*x42 - 20*x43 - 25*x44 - 15*x45 - 30*x53 + x58 + 5*x75 + x76
- 120*x83 - 140*x84 - 90*x85 - 80*x86 - 285*x87 - 290*x88 - 280*x89
- 290*x90 - 350*x91 + 5*b264 + 8*b265 + 6*b266 + 10*b267 + 6*b268
+ 7*b269 + 4*b270 + 5*b271 + 2*b272 + 4*b273 + 3*b274 + 7*b275 + 3*b276
+ 2*b277 + 4*b278 + 2*b279 + 3*b280 + 5*b281 + 2*b282 + b283 + 2*b284
+ 9*b285 + 5*b286 + 2*b287 + 10*b288 + 4*b289 + 7*b290 + 4*b291 + 2*b292
+ 8*b293 + 9*b294 + 3*b295 + 5*b296 + 5*b297 + 6*b298 + 2*b299 + 6*b300
+ 3*b301 + 5*b302 + 9*b303 =E= 0;
e2.. x2 - x3 - x4 =E= 0;
e3.. - x5 - x6 + x7 =E= 0;
e4.. x7 - x8 - x9 =E= 0;
e5.. x9 - x10 - x11 - x12 =E= 0;
e6.. x14 - x17 - x18 =E= 0;
e7.. x16 - x19 - x20 - x21 =E= 0;
e8.. x24 - x28 - x29 =E= 0;
e9.. - x25 - x31 + x32 =E= 0;
e10.. x26 - x33 - x34 =E= 0;
e11.. x27 - x35 - x36 - x37 =E= 0;
e12.. x46 - x47 =E= 0;
e13.. x47 - x48 - x49 =E= 0;
e14.. - x50 - x51 + x52 =E= 0;
e15.. x52 - x53 - x54 =E= 0;
e16.. x54 - x55 - x56 - x57 =E= 0;
e17.. x59 - x62 - x63 =E= 0;
e18.. x61 - x64 - x65 - x66 =E= 0;
e19.. x69 - x73 - x74 =E= 0;
e20.. - x70 - x76 + x77 =E= 0;
e21.. x71 - x78 - x79 =E= 0;
e22.. x72 - x80 - x81 - x82 =E= 0;
e23.. (x96/(1e-6 + b264) - log(1 + x92/(1e-6 + b264)))*(1e-6 + b264) =L= 0;
e24.. x93 =E= 0;
e25.. x97 =E= 0;
e26.. x3 - x92 - x93 =E= 0;
e27.. x5 - x96 - x97 =E= 0;
e28.. x92 - 40*b264 =L= 0;
e29.. x93 + 40*b264 =L= 40;
e30.. x96 - 3.71357206670431*b264 =L= 0;
e31.. x97 + 3.71357206670431*b264 =L= 3.71357206670431;
e32.. (x98/(1e-6 + b265) - 1.2*log(1 + x94/(1e-6 + b265)))*(1e-6 + b265) =L= 0;
e33.. x95 =E= 0;
e34.. x99 =E= 0;
e35.. x4 - x94 - x95 =E= 0;
e36.. x6 - x98 - x99 =E= 0;
e37.. x94 - 40*b265 =L= 0;
e38.. x95 + 40*b265 =L= 40;
e39.. x98 - 4.45628648004517*b265 =L= 0;
e40.. x99 + 4.45628648004517*b265 =L= 4.45628648004517;
e41.. - 0.75*x100 + x108 =E= 0;
e42.. x101 =E= 0;
e43.. x109 =E= 0;
e44.. x10 - x100 - x101 =E= 0;
e45.. x14 - x108 - x109 =E= 0;
e46.. x100 - 4.45628648004517*b266 =L= 0;
e47.. x101 + 4.45628648004517*b266 =L= 4.45628648004517;
e48.. x108 - 3.34221486003388*b266 =L= 0;
e49.. x109 + 3.34221486003388*b266 =L= 3.34221486003388;
e50.. (x110/(1e-6 + b267) - 1.5*log(1 + x102/(1e-6 + b267)))*(1e-6 + b267)
=L= 0;
e51.. x103 =E= 0;
e52.. x112 =E= 0;
e53.. x11 - x102 - x103 =E= 0;
e54.. x15 - x110 - x112 =E= 0;
e55.. x102 - 4.45628648004517*b267 =L= 0;
e56.. x103 + 4.45628648004517*b267 =L= 4.45628648004517;
e57.. x110 - 2.54515263975353*b267 =L= 0;
e58.. x112 + 2.54515263975353*b267 =L= 2.54515263975353;
e59.. - x104 + x114 =E= 0;
e60.. - 0.5*x106 + x114 =E= 0;
e61.. x105 =E= 0;
e62.. x107 =E= 0;
e63.. x115 =E= 0;
e64.. x12 - x104 - x105 =E= 0;
e65.. x13 - x106 - x107 =E= 0;
e66.. x16 - x114 - x115 =E= 0;
e67.. x104 - 4.45628648004517*b268 =L= 0;
e68.. x105 + 4.45628648004517*b268 =L= 4.45628648004517;
e69.. x106 - 30*b268 =L= 0;
e70.. x107 + 30*b268 =L= 30;
e71.. x114 - 15*b268 =L= 0;
e72.. x115 + 15*b268 =L= 15;
e73.. (x126/(1e-6 + b269) - 1.25*log(1 + x116/(1e-6 + b269)))*(1e-6 + b269)
=L= 0;
e74.. x117 =E= 0;
e75.. x128 =E= 0;
e76.. x17 - x116 - x117 =E= 0;
e77.. x22 - x126 - x128 =E= 0;
e78.. x116 - 3.34221486003388*b269 =L= 0;
e79.. x117 + 3.34221486003388*b269 =L= 3.34221486003388;
e80.. x126 - 1.83548069293539*b269 =L= 0;
e81.. x128 + 1.83548069293539*b269 =L= 1.83548069293539;
e82.. (x130/(1e-6 + b270) - 0.9*log(1 + x118/(1e-6 + b270)))*(1e-6 + b270)
=L= 0;
e83.. x119 =E= 0;
e84.. x132 =E= 0;
e85.. x18 - x118 - x119 =E= 0;
e86.. x23 - x130 - x132 =E= 0;
e87.. x118 - 3.34221486003388*b270 =L= 0;
e88.. x119 + 3.34221486003388*b270 =L= 3.34221486003388;
e89.. x130 - 1.32154609891348*b270 =L= 0;
e90.. x132 + 1.32154609891348*b270 =L= 1.32154609891348;
e91.. (x134/(1e-6 + b271) - log(1 + x111/(1e-6 + b271)))*(1e-6 + b271) =L= 0;
e92.. x113 =E= 0;
e93.. x135 =E= 0;
e94.. x15 - x111 - x113 =E= 0;
e95.. x24 - x134 - x135 =E= 0;
e96.. x111 - 2.54515263975353*b271 =L= 0;
e97.. x113 + 2.54515263975353*b271 =L= 2.54515263975353;
e98.. x134 - 1.26558121681553*b271 =L= 0;
e99.. x135 + 1.26558121681553*b271 =L= 1.26558121681553;
e100.. - 0.9*x120 + x136 =E= 0;
e101.. x121 =E= 0;
e102.. x137 =E= 0;
e103.. x19 - x120 - x121 =E= 0;
e104.. x25 - x136 - x137 =E= 0;
e105.. x120 - 15*b272 =L= 0;
e106.. x121 + 15*b272 =L= 15;
e107.. x136 - 13.5*b272 =L= 0;
e108.. x137 + 13.5*b272 =L= 13.5;
e109.. - 0.6*x122 + x138 =E= 0;
e110.. x123 =E= 0;
e111.. x139 =E= 0;
e112.. x20 - x122 - x123 =E= 0;
e113.. x26 - x138 - x139 =E= 0;
e114.. x122 - 15*b273 =L= 0;
e115.. x123 + 15*b273 =L= 15;
e116.. x138 - 9*b273 =L= 0;
e117.. x139 + 9*b273 =L= 9;
e118.. (x140/(1e-6 + b274) - 1.1*log(1 + x124/(1e-6 + b274)))*(1e-6 + b274)
=L= 0;
e119.. x125 =E= 0;
e120.. x141 =E= 0;
e121.. x21 - x124 - x125 =E= 0;
e122.. x27 - x140 - x141 =E= 0;
e123.. x124 - 15*b274 =L= 0;
e124.. x125 + 15*b274 =L= 15;
e125.. x140 - 3.04984759446376*b274 =L= 0;
e126.. x141 + 3.04984759446376*b274 =L= 3.04984759446376;
e127.. - 0.9*x127 + x160 =E= 0;
e128.. - x146 + x160 =E= 0;
e129.. x129 =E= 0;
e130.. x147 =E= 0;
e131.. x161 =E= 0;
e132.. x22 - x127 - x129 =E= 0;
e133.. x30 - x146 - x147 =E= 0;
e134.. x38 - x160 - x161 =E= 0;
e135.. x127 - 1.83548069293539*b275 =L= 0;
e136.. x129 + 1.83548069293539*b275 =L= 1.83548069293539;
e137.. x146 - 20*b275 =L= 0;
e138.. x147 + 20*b275 =L= 20;
e139.. x160 - 20*b275 =L= 0;
e140.. x161 + 20*b275 =L= 20;
e141.. (x162/(1e-6 + b276) - log(1 + x131/(1e-6 + b276)))*(1e-6 + b276) =L= 0;
e142.. x133 =E= 0;
e143.. x163 =E= 0;
e144.. x23 - x131 - x133 =E= 0;
e145.. x39 - x162 - x163 =E= 0;
e146.. x131 - 1.32154609891348*b276 =L= 0;
e147.. x133 + 1.32154609891348*b276 =L= 1.32154609891348;
e148.. x162 - 0.842233385663186*b276 =L= 0;
e149.. x163 + 0.842233385663186*b276 =L= 0.842233385663186;
e150.. (x164/(1e-6 + b277) - 0.7*log(1 + x142/(1e-6 + b277)))*(1e-6 + b277)
=L= 0;
e151.. x143 =E= 0;
e152.. x165 =E= 0;
e153.. x28 - x142 - x143 =E= 0;
e154.. x40 - x164 - x165 =E= 0;
e155.. x142 - 1.26558121681553*b277 =L= 0;
e156.. x143 + 1.26558121681553*b277 =L= 1.26558121681553;
e157.. x164 - 0.572481933717686*b277 =L= 0;
e158.. x165 + 0.572481933717686*b277 =L= 0.572481933717686;
e159.. (x166/(1e-6 + b278) - 0.65*log(1 + x144/(1e-6 + b278)))*(1e-6 + b278)
=L= 0;
e160.. (x166/(1e-6 + b278) - 0.65*log(1 + x148/(1e-6 + b278)))*(1e-6 + b278)
=L= 0;
e161.. x145 =E= 0;
e162.. x149 =E= 0;
e163.. x167 =E= 0;
e164.. x29 - x144 - x145 =E= 0;
e165.. x32 - x148 - x149 =E= 0;
e166.. x41 - x166 - x167 =E= 0;
e167.. x144 - 1.26558121681553*b278 =L= 0;
e168.. x145 + 1.26558121681553*b278 =L= 1.26558121681553;
e169.. x148 - 33.5*b278 =L= 0;
e170.. x149 + 33.5*b278 =L= 33.5;
e171.. x166 - 2.30162356062425*b278 =L= 0;
e172.. x167 + 2.30162356062425*b278 =L= 2.30162356062425;
e173.. - x150 + x168 =E= 0;
e174.. x151 =E= 0;
e175.. x169 =E= 0;
e176.. x33 - x150 - x151 =E= 0;
e177.. x42 - x168 - x169 =E= 0;
e178.. x150 - 9*b279 =L= 0;
e179.. x151 + 9*b279 =L= 9;
e180.. x168 - 9*b279 =L= 0;
e181.. x169 + 9*b279 =L= 9;
e182.. - x152 + x170 =E= 0;
e183.. x153 =E= 0;
e184.. x171 =E= 0;
e185.. x34 - x152 - x153 =E= 0;
e186.. x43 - x170 - x171 =E= 0;
e187.. x152 - 9*b280 =L= 0;
e188.. x153 + 9*b280 =L= 9;
e189.. x170 - 9*b280 =L= 0;
e190.. x171 + 9*b280 =L= 9;
e191.. (x172/(1e-6 + b281) - 0.75*log(1 + x154/(1e-6 + b281)))*(1e-6 + b281)
=L= 0;
e192.. x155 =E= 0;
e193.. x173 =E= 0;
e194.. x35 - x154 - x155 =E= 0;
e195.. x44 - x172 - x173 =E= 0;
e196.. x154 - 3.04984759446376*b281 =L= 0;
e197.. x155 + 3.04984759446376*b281 =L= 3.04984759446376;
e198.. x172 - 1.04900943706034*b281 =L= 0;
e199.. x173 + 1.04900943706034*b281 =L= 1.04900943706034;
e200.. (x174/(1e-6 + b282) - 0.8*log(1 + x156/(1e-6 + b282)))*(1e-6 + b282)
=L= 0;
e201.. x157 =E= 0;
e202.. x175 =E= 0;
e203.. x36 - x156 - x157 =E= 0;
e204.. x45 - x174 - x175 =E= 0;
e205.. x156 - 3.04984759446376*b282 =L= 0;
e206.. x157 + 3.04984759446376*b282 =L= 3.04984759446376;
e207.. x174 - 1.11894339953103*b282 =L= 0;
e208.. x175 + 1.11894339953103*b282 =L= 1.11894339953103;
e209.. (x176/(1e-6 + b283) - 0.85*log(1 + x158/(1e-6 + b283)))*(1e-6 + b283)
=L= 0;
e210.. x159 =E= 0;
e211.. x177 =E= 0;
e212.. x37 - x158 - x159 =E= 0;
e213.. x46 - x176 - x177 =E= 0;
e214.. x158 - 3.04984759446376*b283 =L= 0;
e215.. x159 + 3.04984759446376*b283 =L= 3.04984759446376;
e216.. x176 - 1.18887736200171*b283 =L= 0;
e217.. x177 + 1.18887736200171*b283 =L= 1.18887736200171;
e218.. (x182/(1e-6 + b284) - log(1 + x178/(1e-6 + b284)))*(1e-6 + b284) =L= 0;
e219.. x179 =E= 0;
e220.. x183 =E= 0;
e221.. x48 - x178 - x179 =E= 0;
e222.. x50 - x182 - x183 =E= 0;
e223.. x178 - 1.18887736200171*b284 =L= 0;
e224.. x179 + 1.18887736200171*b284 =L= 1.18887736200171;
e225.. x182 - 0.78338879230327*b284 =L= 0;
e226.. x183 + 0.78338879230327*b284 =L= 0.78338879230327;
e227.. (x184/(1e-6 + b285) - 1.2*log(1 + x180/(1e-6 + b285)))*(1e-6 + b285)
=L= 0;
e228.. x181 =E= 0;
e229.. x185 =E= 0;
e230.. x49 - x180 - x181 =E= 0;
e231.. x51 - x184 - x185 =E= 0;
e232.. x180 - 1.18887736200171*b285 =L= 0;
e233.. x181 + 1.18887736200171*b285 =L= 1.18887736200171;
e234.. x184 - 0.940066550763924*b285 =L= 0;
e235.. x185 + 0.940066550763924*b285 =L= 0.940066550763924;
e236.. - 0.75*x186 + x194 =E= 0;
e237.. x187 =E= 0;
e238.. x195 =E= 0;
e239.. x55 - x186 - x187 =E= 0;
e240.. x59 - x194 - x195 =E= 0;
e241.. x186 - 0.940066550763924*b286 =L= 0;
e242.. x187 + 0.940066550763924*b286 =L= 0.940066550763924;
e243.. x194 - 0.705049913072943*b286 =L= 0;
e244.. x195 + 0.705049913072943*b286 =L= 0.705049913072943;
e245.. (x196/(1e-6 + b287) - 1.5*log(1 + x188/(1e-6 + b287)))*(1e-6 + b287)
=L= 0;
e246.. x189 =E= 0;
e247.. x198 =E= 0;
e248.. x56 - x188 - x189 =E= 0;
e249.. x60 - x196 - x198 =E= 0;
e250.. x188 - 0.940066550763924*b287 =L= 0;
e251.. x189 + 0.940066550763924*b287 =L= 0.940066550763924;
e252.. x196 - 0.994083415506506*b287 =L= 0;
e253.. x198 + 0.994083415506506*b287 =L= 0.994083415506506;
e254.. - x190 + x200 =E= 0;
e255.. - 0.5*x192 + x200 =E= 0;
e256.. x191 =E= 0;
e257.. x193 =E= 0;
e258.. x201 =E= 0;
e259.. x57 - x190 - x191 =E= 0;
e260.. x58 - x192 - x193 =E= 0;
e261.. x61 - x200 - x201 =E= 0;
e262.. x190 - 0.940066550763924*b288 =L= 0;
e263.. x191 + 0.940066550763924*b288 =L= 0.940066550763924;
e264.. x192 - 30*b288 =L= 0;
e265.. x193 + 30*b288 =L= 30;
e266.. x200 - 15*b288 =L= 0;
e267.. x201 + 15*b288 =L= 15;
e268.. (x212/(1e-6 + b289) - 1.25*log(1 + x202/(1e-6 + b289)))*(1e-6 + b289)
=L= 0;
e269.. x203 =E= 0;
e270.. x214 =E= 0;
e271.. x62 - x202 - x203 =E= 0;
e272.. x67 - x212 - x214 =E= 0;
e273.. x202 - 0.705049913072943*b289 =L= 0;
e274.. x203 + 0.705049913072943*b289 =L= 0.705049913072943;
e275.. x212 - 0.666992981045719*b289 =L= 0;
e276.. x214 + 0.666992981045719*b289 =L= 0.666992981045719;
e277.. (x216/(1e-6 + b290) - 0.9*log(1 + x204/(1e-6 + b290)))*(1e-6 + b290)
=L= 0;
e278.. x205 =E= 0;
e279.. x218 =E= 0;
e280.. x63 - x204 - x205 =E= 0;
e281.. x68 - x216 - x218 =E= 0;
e282.. x204 - 0.705049913072943*b290 =L= 0;
e283.. x205 + 0.705049913072943*b290 =L= 0.705049913072943;
e284.. x216 - 0.480234946352917*b290 =L= 0;
e285.. x218 + 0.480234946352917*b290 =L= 0.480234946352917;
e286.. (x220/(1e-6 + b291) - log(1 + x197/(1e-6 + b291)))*(1e-6 + b291) =L= 0;
e287.. x199 =E= 0;
e288.. x221 =E= 0;
e289.. x60 - x197 - x199 =E= 0;
e290.. x69 - x220 - x221 =E= 0;
e291.. x197 - 0.994083415506506*b291 =L= 0;
e292.. x199 + 0.994083415506506*b291 =L= 0.994083415506506;
e293.. x220 - 0.690184503917672*b291 =L= 0;
e294.. x221 + 0.690184503917672*b291 =L= 0.690184503917672;
e295.. - 0.9*x206 + x222 =E= 0;
e296.. x207 =E= 0;
e297.. x223 =E= 0;
e298.. x64 - x206 - x207 =E= 0;
e299.. x70 - x222 - x223 =E= 0;
e300.. x206 - 15*b292 =L= 0;
e301.. x207 + 15*b292 =L= 15;
e302.. x222 - 13.5*b292 =L= 0;
e303.. x223 + 13.5*b292 =L= 13.5;
e304.. - 0.6*x208 + x224 =E= 0;
e305.. x209 =E= 0;
e306.. x225 =E= 0;
e307.. x65 - x208 - x209 =E= 0;
e308.. x71 - x224 - x225 =E= 0;
e309.. x208 - 15*b293 =L= 0;
e310.. x209 + 15*b293 =L= 15;
e311.. x224 - 9*b293 =L= 0;
e312.. x225 + 9*b293 =L= 9;
e313.. (x226/(1e-6 + b294) - 1.1*log(1 + x210/(1e-6 + b294)))*(1e-6 + b294)
=L= 0;
e314.. x211 =E= 0;
e315.. x227 =E= 0;
e316.. x66 - x210 - x211 =E= 0;
e317.. x72 - x226 - x227 =E= 0;
e318.. x210 - 15*b294 =L= 0;
e319.. x211 + 15*b294 =L= 15;
e320.. x226 - 3.04984759446376*b294 =L= 0;
e321.. x227 + 3.04984759446376*b294 =L= 3.04984759446376;
e322.. - 0.9*x213 + x246 =E= 0;
e323.. - x232 + x246 =E= 0;
e324.. x215 =E= 0;
e325.. x233 =E= 0;
e326.. x247 =E= 0;
e327.. x67 - x213 - x215 =E= 0;
e328.. x75 - x232 - x233 =E= 0;
e329.. x83 - x246 - x247 =E= 0;
e330.. x213 - 0.666992981045719*b295 =L= 0;
e331.. x215 + 0.666992981045719*b295 =L= 0.666992981045719;
e332.. x232 - 25*b295 =L= 0;
e333.. x233 + 25*b295 =L= 25;
e334.. x246 - 25*b295 =L= 0;
e335.. x247 + 25*b295 =L= 25;
e336.. (x248/(1e-6 + b296) - log(1 + x217/(1e-6 + b296)))*(1e-6 + b296) =L= 0;
e337.. x219 =E= 0;
e338.. x249 =E= 0;
e339.. x68 - x217 - x219 =E= 0;
e340.. x84 - x248 - x249 =E= 0;
e341.. x217 - 0.480234946352917*b296 =L= 0;
e342.. x219 + 0.480234946352917*b296 =L= 0.480234946352917;
e343.. x248 - 0.392200822712722*b296 =L= 0;
e344.. x249 + 0.392200822712722*b296 =L= 0.392200822712722;
e345.. (x250/(1e-6 + b297) - 0.7*log(1 + x228/(1e-6 + b297)))*(1e-6 + b297)
=L= 0;
e346.. x229 =E= 0;
e347.. x251 =E= 0;
e348.. x73 - x228 - x229 =E= 0;
e349.. x85 - x250 - x251 =E= 0;
e350.. x228 - 0.690184503917672*b297 =L= 0;
e351.. x229 + 0.690184503917672*b297 =L= 0.690184503917672;
e352.. x250 - 0.367386387824208*b297 =L= 0;
e353.. x251 + 0.367386387824208*b297 =L= 0.367386387824208;
e354.. (x252/(1e-6 + b298) - 0.65*log(1 + x230/(1e-6 + b298)))*(1e-6 + b298)
=L= 0;
e355.. (x252/(1e-6 + b298) - 0.65*log(1 + x234/(1e-6 + b298)))*(1e-6 + b298)
=L= 0;
e356.. x231 =E= 0;
e357.. x235 =E= 0;
e358.. x253 =E= 0;
e359.. x74 - x230 - x231 =E= 0;
e360.. x77 - x234 - x235 =E= 0;
e361.. x86 - x252 - x253 =E= 0;
e362.. x230 - 0.690184503917672*b298 =L= 0;
e363.. x231 + 0.690184503917672*b298 =L= 0.690184503917672;
e364.. x234 - 38.5*b298 =L= 0;
e365.. x235 + 38.5*b298 =L= 38.5;
e366.. x252 - 2.3895954367396*b298 =L= 0;
e367.. x253 + 2.3895954367396*b298 =L= 2.3895954367396;
e368.. - x236 + x254 =E= 0;
e369.. x237 =E= 0;
e370.. x255 =E= 0;
e371.. x78 - x236 - x237 =E= 0;
e372.. x87 - x254 - x255 =E= 0;
e373.. x236 - 9*b299 =L= 0;
e374.. x237 + 9*b299 =L= 9;
e375.. x254 - 9*b299 =L= 0;
e376.. x255 + 9*b299 =L= 9;
e377.. - x238 + x256 =E= 0;
e378.. x239 =E= 0;
e379.. x257 =E= 0;
e380.. x79 - x238 - x239 =E= 0;
e381.. x88 - x256 - x257 =E= 0;
e382.. x238 - 9*b300 =L= 0;
e383.. x239 + 9*b300 =L= 9;
e384.. x256 - 9*b300 =L= 0;
e385.. x257 + 9*b300 =L= 9;
e386.. (x258/(1e-6 + b301) - 0.75*log(1 + x240/(1e-6 + b301)))*(1e-6 + b301)
=L= 0;
e387.. x241 =E= 0;
e388.. x259 =E= 0;
e389.. x80 - x240 - x241 =E= 0;
e390.. x89 - x258 - x259 =E= 0;
e391.. x240 - 3.04984759446376*b301 =L= 0;
e392.. x241 + 3.04984759446376*b301 =L= 3.04984759446376;
e393.. x258 - 1.04900943706034*b301 =L= 0;
e394.. x259 + 1.04900943706034*b301 =L= 1.04900943706034;
e395.. (x260/(1e-6 + b302) - 0.8*log(1 + x242/(1e-6 + b302)))*(1e-6 + b302)
=L= 0;
e396.. x243 =E= 0;
e397.. x261 =E= 0;
e398.. x81 - x242 - x243 =E= 0;
e399.. x90 - x260 - x261 =E= 0;
e400.. x242 - 3.04984759446376*b302 =L= 0;
e401.. x243 + 3.04984759446376*b302 =L= 3.04984759446376;
e402.. x260 - 1.11894339953103*b302 =L= 0;
e403.. x261 + 1.11894339953103*b302 =L= 1.11894339953103;
e404.. (x262/(1e-6 + b303) - 0.85*log(1 + x244/(1e-6 + b303)))*(1e-6 + b303)
=L= 0;
e405.. x245 =E= 0;
e406.. x263 =E= 0;
e407.. x82 - x244 - x245 =E= 0;
e408.. x91 - x262 - x263 =E= 0;
e409.. x244 - 3.04984759446376*b303 =L= 0;
e410.. x245 + 3.04984759446376*b303 =L= 3.04984759446376;
e411.. x262 - 1.18887736200171*b303 =L= 0;
e412.. x263 + 1.18887736200171*b303 =L= 1.18887736200171;
e413.. b264 + b265 =E= 1;
e414.. - b266 + b269 + b270 =G= 0;
e415.. - b269 + b275 =G= 0;
e416.. - b270 + b276 =G= 0;
e417.. - b267 + b271 =G= 0;
e418.. - b271 + b277 + b278 =G= 0;
e419.. - b268 + b272 + b273 + b274 =G= 0;
e420.. - b272 + b278 =G= 0;
e421.. - b273 + b279 + b280 =G= 0;
e422.. - b274 + b281 + b282 + b283 =G= 0;
e423.. b266 - b269 =G= 0;
e424.. b266 - b270 =G= 0;
e425.. b267 - b271 =G= 0;
e426.. b268 - b272 =G= 0;
e427.. b268 - b273 =G= 0;
e428.. b268 - b274 =G= 0;
e429.. b269 - b275 =G= 0;
e430.. b270 - b276 =G= 0;
e431.. b271 - b277 =G= 0;
e432.. b271 - b278 =G= 0;
e433.. b273 - b279 =G= 0;
e434.. b273 - b280 =G= 0;
e435.. b274 - b281 =G= 0;
e436.. b274 - b282 =G= 0;
e437.. b274 - b283 =G= 0;
e438.. - b283 + b284 + b285 =G= 0;
e439.. - b286 + b289 + b290 =G= 0;
e440.. - b289 + b295 =G= 0;
e441.. - b290 + b296 =G= 0;
e442.. - b287 + b291 =G= 0;
e443.. - b291 + b297 + b298 =G= 0;
e444.. - b288 + b292 + b293 + b294 =G= 0;
e445.. - b292 + b298 =G= 0;
e446.. - b293 + b299 + b300 =G= 0;
e447.. - b294 + b301 + b302 + b303 =G= 0;
e448.. b286 - b289 =G= 0;
e449.. b286 - b290 =G= 0;
e450.. b289 - b295 =G= 0;
e451.. b290 - b296 =G= 0;
e452.. b287 - b291 =G= 0;
e453.. b291 - b297 =G= 0;
e454.. b291 - b298 =G= 0;
e455.. b288 - b292 =G= 0;
e456.. b288 - b293 =G= 0;
e457.. b288 - b294 =G= 0;
e458.. b293 - b299 =G= 0;
e459.. b293 - b300 =G= 0;
e460.. b294 - b301 =G= 0;
e461.. b294 - b302 =G= 0;
e462.. b294 - b303 =G= 0;
e463.. b264 + b265 - b266 =G= 0;
e464.. b264 + b265 - b267 =G= 0;
e465.. b264 + b265 - b268 =G= 0;
e466.. b283 - b284 =G= 0;
e467.. b283 - b285 =G= 0;
* set non-default bounds
x2.up = 40;
x13.up = 30;
x30.up = 20;
x31.up = 20;
x58.up = 30;
x75.up = 25;
x76.up = 25;
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: 2024-12-17 Git hash: 8eaceb91