MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
Home // Instances // Documentation // Download // Statistics
Removed Instance syn15m02h
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ⓘ | 2832.75240600 (ALPHAECP) 2832.74914200 (ANTIGONE) 2832.74914200 (BARON) 2832.74913900 (BONMIN) 2832.74913900 (COUENNE) 2832.74913900 (LINDO) 2832.74929800 (SCIP) 2832.74960200 (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ⓘ | Syn15M02H.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| Removed becauseⓘ | Superseded by syn15m02hfsg. |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 302 |
| #Binary Variablesⓘ | 60 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 62 |
| #Nonlinear Binary Variablesⓘ | 20 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | max |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 52 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 467 |
| #Linear Constraintsⓘ | 445 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 22 |
| Operands in Gen. Nonlin. Functionsⓘ | div log mul |
| Constraints curvatureⓘ | convex |
| #Nonzeros in Jacobianⓘ | 1011 |
| #Nonlinear Nonzeros in Jacobianⓘ | 66 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 126 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 42 |
| #Blocks in Hessian of Lagrangianⓘ | 20 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 3 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 4 |
| Average blocksize in Hessian of Lagrangianⓘ | 3.1 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.0000e-06 |
| 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
* 468 199 40 229 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 303 243 60 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1064 998 66 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,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,b293,b294,b295,b296,b297
,b298,b299,b300,b301,b302,b303;
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,x233,x234,x235,x236,x237,x238,x239,x240
,x241,x242,x243;
Binary Variables 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,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
,e468;
e1.. objvar + x32 + x33 - 5*x44 - 10*x45 + 2*x54 + x55 - 500*x80 - 600*x81
- 350*x82 - 400*x83 + 10*x88 + 5*x89 + 5*x90 + 5*x91 - 80*x104 - 130*x105
- 110*x106 - 120*x107 - 110*x108 - 130*x109 - 80*x110 - 90*x111 + 5*b274
+ 4*b275 + 8*b276 + 7*b277 + 6*b278 + 9*b279 + 10*b280 + 9*b281 + 6*b282
+ 10*b283 + 7*b284 + 7*b285 + 4*b286 + 3*b287 + 5*b288 + 6*b289 + 2*b290
+ 5*b291 + 4*b292 + 7*b293 + 3*b294 + 9*b295 + 7*b296 + 2*b297 + 3*b298
+ b299 + 2*b300 + 6*b301 + 4*b302 + 8*b303 =E= 0;
e2.. x32 - x34 - x36 =E= 0;
e3.. x33 - x35 - x37 =E= 0;
e4.. - x38 - x40 + x42 =E= 0;
e5.. - x39 - x41 + x43 =E= 0;
e6.. x42 - x44 - x46 =E= 0;
e7.. x43 - x45 - x47 =E= 0;
e8.. x46 - x48 - x50 - x52 =E= 0;
e9.. x47 - x49 - x51 - x53 =E= 0;
e10.. x56 - x62 - x64 =E= 0;
e11.. x57 - x63 - x65 =E= 0;
e12.. x60 - x66 - x68 - x70 =E= 0;
e13.. x61 - x67 - x69 - x71 =E= 0;
e14.. x76 - x84 - x86 =E= 0;
e15.. x77 - x85 - x87 =E= 0;
e16.. - x78 - x90 + x92 =E= 0;
e17.. - x79 - x91 + x93 =E= 0;
e18.. x80 - x94 - x96 =E= 0;
e19.. x81 - x95 - x97 =E= 0;
e20.. x82 - x98 - x100 - x102 =E= 0;
e21.. x83 - x99 - x101 - x103 =E= 0;
e22.. (x120/(1e-6 + b244) - log(1 + x112/(1e-6 + b244)))*(1e-6 + b244) =L= 0;
e23.. (x121/(1e-6 + b245) - log(1 + x113/(1e-6 + b245)))*(1e-6 + b245) =L= 0;
e24.. x114 =E= 0;
e25.. x115 =E= 0;
e26.. x122 =E= 0;
e27.. x123 =E= 0;
e28.. x34 - x112 - x114 =E= 0;
e29.. x35 - x113 - x115 =E= 0;
e30.. x38 - x120 - x122 =E= 0;
e31.. x39 - x121 - x123 =E= 0;
e32.. x112 - 40*b244 =L= 0;
e33.. x113 - 40*b245 =L= 0;
e34.. x114 + 40*b244 =L= 40;
e35.. x115 + 40*b245 =L= 40;
e36.. x120 - 3.71357206670431*b244 =L= 0;
e37.. x121 - 3.71357206670431*b245 =L= 0;
e38.. x122 + 3.71357206670431*b244 =L= 3.71357206670431;
e39.. x123 + 3.71357206670431*b245 =L= 3.71357206670431;
e40.. (x124/(1e-6 + b246) - 1.2*log(1 + x116/(1e-6 + b246)))*(1e-6 + b246)
=L= 0;
e41.. (x125/(1e-6 + b247) - 1.2*log(1 + x117/(1e-6 + b247)))*(1e-6 + b247)
=L= 0;
e42.. x118 =E= 0;
e43.. x119 =E= 0;
e44.. x126 =E= 0;
e45.. x127 =E= 0;
e46.. x36 - x116 - x118 =E= 0;
e47.. x37 - x117 - x119 =E= 0;
e48.. x40 - x124 - x126 =E= 0;
e49.. x41 - x125 - x127 =E= 0;
e50.. x116 - 40*b246 =L= 0;
e51.. x117 - 40*b247 =L= 0;
e52.. x118 + 40*b246 =L= 40;
e53.. x119 + 40*b247 =L= 40;
e54.. x124 - 4.45628648004517*b246 =L= 0;
e55.. x125 - 4.45628648004517*b247 =L= 0;
e56.. x126 + 4.45628648004517*b246 =L= 4.45628648004517;
e57.. x127 + 4.45628648004517*b247 =L= 4.45628648004517;
e58.. - 0.75*x128 + x144 =E= 0;
e59.. - 0.75*x129 + x145 =E= 0;
e60.. x130 =E= 0;
e61.. x131 =E= 0;
e62.. x146 =E= 0;
e63.. x147 =E= 0;
e64.. x48 - x128 - x130 =E= 0;
e65.. x49 - x129 - x131 =E= 0;
e66.. x56 - x144 - x146 =E= 0;
e67.. x57 - x145 - x147 =E= 0;
e68.. x128 - 4.45628648004517*b248 =L= 0;
e69.. x129 - 4.45628648004517*b249 =L= 0;
e70.. x130 + 4.45628648004517*b248 =L= 4.45628648004517;
e71.. x131 + 4.45628648004517*b249 =L= 4.45628648004517;
e72.. x144 - 3.34221486003388*b248 =L= 0;
e73.. x145 - 3.34221486003388*b249 =L= 0;
e74.. x146 + 3.34221486003388*b248 =L= 3.34221486003388;
e75.. x147 + 3.34221486003388*b249 =L= 3.34221486003388;
e76.. (x148/(1e-6 + b250) - 1.5*log(1 + x132/(1e-6 + b250)))*(1e-6 + b250)
=L= 0;
e77.. (x149/(1e-6 + b251) - 1.5*log(1 + x133/(1e-6 + b251)))*(1e-6 + b251)
=L= 0;
e78.. x134 =E= 0;
e79.. x135 =E= 0;
e80.. x152 =E= 0;
e81.. x153 =E= 0;
e82.. x50 - x132 - x134 =E= 0;
e83.. x51 - x133 - x135 =E= 0;
e84.. x58 - x148 - x152 =E= 0;
e85.. x59 - x149 - x153 =E= 0;
e86.. x132 - 4.45628648004517*b250 =L= 0;
e87.. x133 - 4.45628648004517*b251 =L= 0;
e88.. x134 + 4.45628648004517*b250 =L= 4.45628648004517;
e89.. x135 + 4.45628648004517*b251 =L= 4.45628648004517;
e90.. x148 - 2.54515263975353*b250 =L= 0;
e91.. x149 - 2.54515263975353*b251 =L= 0;
e92.. x152 + 2.54515263975353*b250 =L= 2.54515263975353;
e93.. x153 + 2.54515263975353*b251 =L= 2.54515263975353;
e94.. - x136 + x156 =E= 0;
e95.. - x137 + x157 =E= 0;
e96.. - 0.5*x140 + x156 =E= 0;
e97.. - 0.5*x141 + x157 =E= 0;
e98.. x138 =E= 0;
e99.. x139 =E= 0;
e100.. x142 =E= 0;
e101.. x143 =E= 0;
e102.. x158 =E= 0;
e103.. x159 =E= 0;
e104.. x52 - x136 - x138 =E= 0;
e105.. x53 - x137 - x139 =E= 0;
e106.. x54 - x140 - x142 =E= 0;
e107.. x55 - x141 - x143 =E= 0;
e108.. x60 - x156 - x158 =E= 0;
e109.. x61 - x157 - x159 =E= 0;
e110.. x136 - 4.45628648004517*b252 =L= 0;
e111.. x137 - 4.45628648004517*b253 =L= 0;
e112.. x138 + 4.45628648004517*b252 =L= 4.45628648004517;
e113.. x139 + 4.45628648004517*b253 =L= 4.45628648004517;
e114.. x140 - 30*b252 =L= 0;
e115.. x141 - 30*b253 =L= 0;
e116.. x142 + 30*b252 =L= 30;
e117.. x143 + 30*b253 =L= 30;
e118.. x156 - 15*b252 =L= 0;
e119.. x157 - 15*b253 =L= 0;
e120.. x158 + 15*b252 =L= 15;
e121.. x159 + 15*b253 =L= 15;
e122.. (x180/(1e-6 + b254) - 1.25*log(1 + x160/(1e-6 + b254)))*(1e-6 + b254)
=L= 0;
e123.. (x181/(1e-6 + b255) - 1.25*log(1 + x161/(1e-6 + b255)))*(1e-6 + b255)
=L= 0;
e124.. x162 =E= 0;
e125.. x163 =E= 0;
e126.. x184 =E= 0;
e127.. x185 =E= 0;
e128.. x62 - x160 - x162 =E= 0;
e129.. x63 - x161 - x163 =E= 0;
e130.. x72 - x180 - x184 =E= 0;
e131.. x73 - x181 - x185 =E= 0;
e132.. x160 - 3.34221486003388*b254 =L= 0;
e133.. x161 - 3.34221486003388*b255 =L= 0;
e134.. x162 + 3.34221486003388*b254 =L= 3.34221486003388;
e135.. x163 + 3.34221486003388*b255 =L= 3.34221486003388;
e136.. x180 - 1.83548069293539*b254 =L= 0;
e137.. x181 - 1.83548069293539*b255 =L= 0;
e138.. x184 + 1.83548069293539*b254 =L= 1.83548069293539;
e139.. x185 + 1.83548069293539*b255 =L= 1.83548069293539;
e140.. (x188/(1e-6 + b256) - 0.9*log(1 + x164/(1e-6 + b256)))*(1e-6 + b256)
=L= 0;
e141.. (x189/(1e-6 + b257) - 0.9*log(1 + x165/(1e-6 + b257)))*(1e-6 + b257)
=L= 0;
e142.. x166 =E= 0;
e143.. x167 =E= 0;
e144.. x192 =E= 0;
e145.. x193 =E= 0;
e146.. x64 - x164 - x166 =E= 0;
e147.. x65 - x165 - x167 =E= 0;
e148.. x74 - x188 - x192 =E= 0;
e149.. x75 - x189 - x193 =E= 0;
e150.. x164 - 3.34221486003388*b256 =L= 0;
e151.. x165 - 3.34221486003388*b257 =L= 0;
e152.. x166 + 3.34221486003388*b256 =L= 3.34221486003388;
e153.. x167 + 3.34221486003388*b257 =L= 3.34221486003388;
e154.. x188 - 1.32154609891348*b256 =L= 0;
e155.. x189 - 1.32154609891348*b257 =L= 0;
e156.. x192 + 1.32154609891348*b256 =L= 1.32154609891348;
e157.. x193 + 1.32154609891348*b257 =L= 1.32154609891348;
e158.. (x196/(1e-6 + b258) - log(1 + x150/(1e-6 + b258)))*(1e-6 + b258) =L= 0;
e159.. (x197/(1e-6 + b259) - log(1 + x151/(1e-6 + b259)))*(1e-6 + b259) =L= 0;
e160.. x154 =E= 0;
e161.. x155 =E= 0;
e162.. x198 =E= 0;
e163.. x199 =E= 0;
e164.. x58 - x150 - x154 =E= 0;
e165.. x59 - x151 - x155 =E= 0;
e166.. x76 - x196 - x198 =E= 0;
e167.. x77 - x197 - x199 =E= 0;
e168.. x150 - 2.54515263975353*b258 =L= 0;
e169.. x151 - 2.54515263975353*b259 =L= 0;
e170.. x154 + 2.54515263975353*b258 =L= 2.54515263975353;
e171.. x155 + 2.54515263975353*b259 =L= 2.54515263975353;
e172.. x196 - 1.26558121681553*b258 =L= 0;
e173.. x197 - 1.26558121681553*b259 =L= 0;
e174.. x198 + 1.26558121681553*b258 =L= 1.26558121681553;
e175.. x199 + 1.26558121681553*b259 =L= 1.26558121681553;
e176.. - 0.9*x168 + x200 =E= 0;
e177.. - 0.9*x169 + x201 =E= 0;
e178.. x170 =E= 0;
e179.. x171 =E= 0;
e180.. x202 =E= 0;
e181.. x203 =E= 0;
e182.. x66 - x168 - x170 =E= 0;
e183.. x67 - x169 - x171 =E= 0;
e184.. x78 - x200 - x202 =E= 0;
e185.. x79 - x201 - x203 =E= 0;
e186.. x168 - 15*b260 =L= 0;
e187.. x169 - 15*b261 =L= 0;
e188.. x170 + 15*b260 =L= 15;
e189.. x171 + 15*b261 =L= 15;
e190.. x200 - 13.5*b260 =L= 0;
e191.. x201 - 13.5*b261 =L= 0;
e192.. x202 + 13.5*b260 =L= 13.5;
e193.. x203 + 13.5*b261 =L= 13.5;
e194.. - 0.6*x172 + x204 =E= 0;
e195.. - 0.6*x173 + x205 =E= 0;
e196.. x174 =E= 0;
e197.. x175 =E= 0;
e198.. x206 =E= 0;
e199.. x207 =E= 0;
e200.. x68 - x172 - x174 =E= 0;
e201.. x69 - x173 - x175 =E= 0;
e202.. x80 - x204 - x206 =E= 0;
e203.. x81 - x205 - x207 =E= 0;
e204.. x172 - 15*b262 =L= 0;
e205.. x173 - 15*b263 =L= 0;
e206.. x174 + 15*b262 =L= 15;
e207.. x175 + 15*b263 =L= 15;
e208.. x204 - 9*b262 =L= 0;
e209.. x205 - 9*b263 =L= 0;
e210.. x206 + 9*b262 =L= 9;
e211.. x207 + 9*b263 =L= 9;
e212.. (x208/(1e-6 + b264) - 1.1*log(1 + x176/(1e-6 + b264)))*(1e-6 + b264)
=L= 0;
e213.. (x209/(1e-6 + b265) - 1.1*log(1 + x177/(1e-6 + b265)))*(1e-6 + b265)
=L= 0;
e214.. x178 =E= 0;
e215.. x179 =E= 0;
e216.. x210 =E= 0;
e217.. x211 =E= 0;
e218.. x70 - x176 - x178 =E= 0;
e219.. x71 - x177 - x179 =E= 0;
e220.. x82 - x208 - x210 =E= 0;
e221.. x83 - x209 - x211 =E= 0;
e222.. x176 - 15*b264 =L= 0;
e223.. x177 - 15*b265 =L= 0;
e224.. x178 + 15*b264 =L= 15;
e225.. x179 + 15*b265 =L= 15;
e226.. x208 - 3.04984759446376*b264 =L= 0;
e227.. x209 - 3.04984759446376*b265 =L= 0;
e228.. x210 + 3.04984759446376*b264 =L= 3.04984759446376;
e229.. x211 + 3.04984759446376*b265 =L= 3.04984759446376;
e230.. - 0.9*x182 + x228 =E= 0;
e231.. - 0.9*x183 + x229 =E= 0;
e232.. - x220 + x228 =E= 0;
e233.. - x221 + x229 =E= 0;
e234.. x186 =E= 0;
e235.. x187 =E= 0;
e236.. x222 =E= 0;
e237.. x223 =E= 0;
e238.. x230 =E= 0;
e239.. x231 =E= 0;
e240.. x72 - x182 - x186 =E= 0;
e241.. x73 - x183 - x187 =E= 0;
e242.. x88 - x220 - x222 =E= 0;
e243.. x89 - x221 - x223 =E= 0;
e244.. x104 - x228 - x230 =E= 0;
e245.. x105 - x229 - x231 =E= 0;
e246.. x182 - 1.83548069293539*b266 =L= 0;
e247.. x183 - 1.83548069293539*b267 =L= 0;
e248.. x186 + 1.83548069293539*b266 =L= 1.83548069293539;
e249.. x187 + 1.83548069293539*b267 =L= 1.83548069293539;
e250.. x220 - 20*b266 =L= 0;
e251.. x221 - 20*b267 =L= 0;
e252.. x222 + 20*b266 =L= 20;
e253.. x223 + 20*b267 =L= 20;
e254.. x228 - 20*b266 =L= 0;
e255.. x229 - 20*b267 =L= 0;
e256.. x230 + 20*b266 =L= 20;
e257.. x231 + 20*b267 =L= 20;
e258.. (x232/(1e-6 + b268) - log(1 + x190/(1e-6 + b268)))*(1e-6 + b268) =L= 0;
e259.. (x233/(1e-6 + b269) - log(1 + x191/(1e-6 + b269)))*(1e-6 + b269) =L= 0;
e260.. x194 =E= 0;
e261.. x195 =E= 0;
e262.. x234 =E= 0;
e263.. x235 =E= 0;
e264.. x74 - x190 - x194 =E= 0;
e265.. x75 - x191 - x195 =E= 0;
e266.. x106 - x232 - x234 =E= 0;
e267.. x107 - x233 - x235 =E= 0;
e268.. x190 - 1.32154609891348*b268 =L= 0;
e269.. x191 - 1.32154609891348*b269 =L= 0;
e270.. x194 + 1.32154609891348*b268 =L= 1.32154609891348;
e271.. x195 + 1.32154609891348*b269 =L= 1.32154609891348;
e272.. x232 - 0.842233385663186*b268 =L= 0;
e273.. x233 - 0.842233385663186*b269 =L= 0;
e274.. x234 + 0.842233385663186*b268 =L= 0.842233385663186;
e275.. x235 + 0.842233385663186*b269 =L= 0.842233385663186;
e276.. (x236/(1e-6 + b270) - 0.7*log(1 + x212/(1e-6 + b270)))*(1e-6 + b270)
=L= 0;
e277.. (x237/(1e-6 + b271) - 0.7*log(1 + x213/(1e-6 + b271)))*(1e-6 + b271)
=L= 0;
e278.. x214 =E= 0;
e279.. x215 =E= 0;
e280.. x238 =E= 0;
e281.. x239 =E= 0;
e282.. x84 - x212 - x214 =E= 0;
e283.. x85 - x213 - x215 =E= 0;
e284.. x108 - x236 - x238 =E= 0;
e285.. x109 - x237 - x239 =E= 0;
e286.. x212 - 1.26558121681553*b270 =L= 0;
e287.. x213 - 1.26558121681553*b271 =L= 0;
e288.. x214 + 1.26558121681553*b270 =L= 1.26558121681553;
e289.. x215 + 1.26558121681553*b271 =L= 1.26558121681553;
e290.. x236 - 0.572481933717686*b270 =L= 0;
e291.. x237 - 0.572481933717686*b271 =L= 0;
e292.. x238 + 0.572481933717686*b270 =L= 0.572481933717686;
e293.. x239 + 0.572481933717686*b271 =L= 0.572481933717686;
e294.. (x240/(1e-6 + b272) - 0.65*log(1 + x216/(1e-6 + b272)))*(1e-6 + b272)
=L= 0;
e295.. (x241/(1e-6 + b273) - 0.65*log(1 + x217/(1e-6 + b273)))*(1e-6 + b273)
=L= 0;
e296.. (x240/(1e-6 + b272) - 0.65*log(1 + x224/(1e-6 + b272)))*(1e-6 + b272)
=L= 0;
e297.. (x241/(1e-6 + b273) - 0.65*log(1 + x225/(1e-6 + b273)))*(1e-6 + b273)
=L= 0;
e298.. x218 =E= 0;
e299.. x219 =E= 0;
e300.. x226 =E= 0;
e301.. x227 =E= 0;
e302.. x242 =E= 0;
e303.. x243 =E= 0;
e304.. x86 - x216 - x218 =E= 0;
e305.. x87 - x217 - x219 =E= 0;
e306.. x92 - x224 - x226 =E= 0;
e307.. x93 - x225 - x227 =E= 0;
e308.. x110 - x240 - x242 =E= 0;
e309.. x111 - x241 - x243 =E= 0;
e310.. x216 - 1.26558121681553*b272 =L= 0;
e311.. x217 - 1.26558121681553*b273 =L= 0;
e312.. x218 + 1.26558121681553*b272 =L= 1.26558121681553;
e313.. x219 + 1.26558121681553*b273 =L= 1.26558121681553;
e314.. x224 - 33.5*b272 =L= 0;
e315.. x225 - 33.5*b273 =L= 0;
e316.. x226 + 33.5*b272 =L= 33.5;
e317.. x227 + 33.5*b273 =L= 33.5;
e318.. x240 - 2.30162356062425*b272 =L= 0;
e319.. x241 - 2.30162356062425*b273 =L= 0;
e320.. x242 + 2.30162356062425*b272 =L= 2.30162356062425;
e321.. x243 + 2.30162356062425*b273 =L= 2.30162356062425;
e322.. x2 + 5*b274 =E= 0;
e323.. x3 + 4*b275 =E= 0;
e324.. x4 + 8*b276 =E= 0;
e325.. x5 + 7*b277 =E= 0;
e326.. x6 + 6*b278 =E= 0;
e327.. x7 + 9*b279 =E= 0;
e328.. x8 + 10*b280 =E= 0;
e329.. x9 + 9*b281 =E= 0;
e330.. x10 + 6*b282 =E= 0;
e331.. x11 + 10*b283 =E= 0;
e332.. x12 + 7*b284 =E= 0;
e333.. x13 + 7*b285 =E= 0;
e334.. x14 + 4*b286 =E= 0;
e335.. x15 + 3*b287 =E= 0;
e336.. x16 + 5*b288 =E= 0;
e337.. x17 + 6*b289 =E= 0;
e338.. x18 + 2*b290 =E= 0;
e339.. x19 + 5*b291 =E= 0;
e340.. x20 + 4*b292 =E= 0;
e341.. x21 + 7*b293 =E= 0;
e342.. x22 + 3*b294 =E= 0;
e343.. x23 + 9*b295 =E= 0;
e344.. x24 + 7*b296 =E= 0;
e345.. x25 + 2*b297 =E= 0;
e346.. x26 + 3*b298 =E= 0;
e347.. x27 + b299 =E= 0;
e348.. x28 + 2*b300 =E= 0;
e349.. x29 + 6*b301 =E= 0;
e350.. x30 + 4*b302 =E= 0;
e351.. x31 + 8*b303 =E= 0;
e352.. b244 - b245 =L= 0;
e353.. b246 - b247 =L= 0;
e354.. b248 - b249 =L= 0;
e355.. b250 - b251 =L= 0;
e356.. b252 - b253 =L= 0;
e357.. b254 - b255 =L= 0;
e358.. b256 - b257 =L= 0;
e359.. b258 - b259 =L= 0;
e360.. b260 - b261 =L= 0;
e361.. b262 - b263 =L= 0;
e362.. b264 - b265 =L= 0;
e363.. b266 - b267 =L= 0;
e364.. b268 - b269 =L= 0;
e365.. b270 - b271 =L= 0;
e366.. b272 - b273 =L= 0;
e367.. b274 + b275 =L= 1;
e368.. b274 + b275 =L= 1;
e369.. b276 + b277 =L= 1;
e370.. b276 + b277 =L= 1;
e371.. b278 + b279 =L= 1;
e372.. b278 + b279 =L= 1;
e373.. b280 + b281 =L= 1;
e374.. b280 + b281 =L= 1;
e375.. b282 + b283 =L= 1;
e376.. b282 + b283 =L= 1;
e377.. b284 + b285 =L= 1;
e378.. b284 + b285 =L= 1;
e379.. b286 + b287 =L= 1;
e380.. b286 + b287 =L= 1;
e381.. b288 + b289 =L= 1;
e382.. b288 + b289 =L= 1;
e383.. b290 + b291 =L= 1;
e384.. b290 + b291 =L= 1;
e385.. b292 + b293 =L= 1;
e386.. b292 + b293 =L= 1;
e387.. b294 + b295 =L= 1;
e388.. b294 + b295 =L= 1;
e389.. b296 + b297 =L= 1;
e390.. b296 + b297 =L= 1;
e391.. b298 + b299 =L= 1;
e392.. b298 + b299 =L= 1;
e393.. b300 + b301 =L= 1;
e394.. b300 + b301 =L= 1;
e395.. b302 + b303 =L= 1;
e396.. b302 + b303 =L= 1;
e397.. b244 - b274 =L= 0;
e398.. - b244 + b245 - b275 =L= 0;
e399.. b246 - b276 =L= 0;
e400.. - b246 + b247 - b277 =L= 0;
e401.. b248 - b278 =L= 0;
e402.. - b248 + b249 - b279 =L= 0;
e403.. b250 - b280 =L= 0;
e404.. - b250 + b251 - b281 =L= 0;
e405.. b252 - b282 =L= 0;
e406.. - b252 + b253 - b283 =L= 0;
e407.. b254 - b284 =L= 0;
e408.. - b254 + b255 - b285 =L= 0;
e409.. b256 - b286 =L= 0;
e410.. - b256 + b257 - b287 =L= 0;
e411.. b258 - b288 =L= 0;
e412.. - b258 + b259 - b289 =L= 0;
e413.. b260 - b290 =L= 0;
e414.. - b260 + b261 - b291 =L= 0;
e415.. b262 - b292 =L= 0;
e416.. - b262 + b263 - b293 =L= 0;
e417.. b264 - b294 =L= 0;
e418.. - b264 + b265 - b295 =L= 0;
e419.. b266 - b296 =L= 0;
e420.. - b266 + b267 - b297 =L= 0;
e421.. b268 - b298 =L= 0;
e422.. - b268 + b269 - b299 =L= 0;
e423.. b270 - b300 =L= 0;
e424.. - b270 + b271 - b301 =L= 0;
e425.. b272 - b302 =L= 0;
e426.. - b272 + b273 - b303 =L= 0;
e427.. b244 + b246 =E= 1;
e428.. b245 + b247 =E= 1;
e429.. - b248 + b254 + b256 =G= 0;
e430.. - b249 + b255 + b257 =G= 0;
e431.. - b254 + b266 =G= 0;
e432.. - b255 + b267 =G= 0;
e433.. - b256 + b268 =G= 0;
e434.. - b257 + b269 =G= 0;
e435.. - b250 + b258 =G= 0;
e436.. - b251 + b259 =G= 0;
e437.. - b258 + b270 + b272 =G= 0;
e438.. - b259 + b271 + b273 =G= 0;
e439.. - b252 + b260 + b262 + b264 =G= 0;
e440.. - b253 + b261 + b263 + b265 =G= 0;
e441.. - b260 + b272 =G= 0;
e442.. - b261 + b273 =G= 0;
e443.. b244 + b246 - b248 =G= 0;
e444.. b245 + b247 - b249 =G= 0;
e445.. b244 + b246 - b250 =G= 0;
e446.. b245 + b247 - b251 =G= 0;
e447.. b244 + b246 - b252 =G= 0;
e448.. b245 + b247 - b253 =G= 0;
e449.. b248 - b254 =G= 0;
e450.. b249 - b255 =G= 0;
e451.. b248 - b256 =G= 0;
e452.. b249 - b257 =G= 0;
e453.. b250 - b258 =G= 0;
e454.. b251 - b259 =G= 0;
e455.. b252 - b260 =G= 0;
e456.. b253 - b261 =G= 0;
e457.. b252 - b262 =G= 0;
e458.. b253 - b263 =G= 0;
e459.. b252 - b264 =G= 0;
e460.. b253 - b265 =G= 0;
e461.. b254 - b266 =G= 0;
e462.. b255 - b267 =G= 0;
e463.. b256 - b268 =G= 0;
e464.. b257 - b269 =G= 0;
e465.. b258 - b270 =G= 0;
e466.. b259 - b271 =G= 0;
e467.. b258 - b272 =G= 0;
e468.. b259 - b273 =G= 0;
* set non-default bounds
x32.up = 40;
x33.up = 40;
x54.up = 30;
x55.up = 30;
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