MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Removed Instance rsyn0815h
Redesign of existing plants to increase throughput, reduce energy consumption, improve yields, and reduce waste generation. Given limited capital investments to make process improvements and cost estimations over a given time horizon, the problem is to identify the modifications that yield the highest economic improvement which is defined as the income from product sales minus the cost of raw materials, energy, and process modifications.
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 1269.93014900 (ALPHAECP) 1269.92574400 (ANTIGONE) 1269.92574400 (BARON) 1269.92574300 (BONMIN) 1273.94119800 (COUENNE) 1269.92579500 (LINDO) 1269.92578100 (SCIP) 1269.92600800 (SHOT) |
| Referencesⓘ | Sawaya, Nicolas W, Reformulations, relaxations and cutting planes for generalized disjunctive programming, PhD thesis, Carnegie Mellon University, 2006. |
| Sourceⓘ | RSyn0815H.gms from CMU-IBM MINLP solver project page |
| Applicationⓘ | Retrofit Planning |
| Added to libraryⓘ | 28 Sep 2013 |
| Removed from libraryⓘ | 16 Feb 2022 |
| Removed becauseⓘ | Superseded by rsyn0815hfsg. |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 387 |
| #Binary Variablesⓘ | 47 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 31 |
| #Nonlinear Binary Variablesⓘ | 10 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | max |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 57 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 552 |
| #Linear Constraintsⓘ | 541 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 11 |
| Operands in Gen. Nonlin. Functionsⓘ | div log mul |
| Constraints curvatureⓘ | convex |
| #Nonzeros in Jacobianⓘ | 1281 |
| #Nonlinear Nonzeros in Jacobianⓘ | 33 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 63 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 21 |
| #Blocks in Hessian of Lagrangianⓘ | 10 |
| 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ⓘ | 5.0000e+02 |
| Infeasibility of initial pointⓘ | 1 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 553 261 26 266 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 388 341 47 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1339 1306 33 0
*
* Solve m using MINLP maximizing objvar;
Variables objvar,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18
,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35
,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52
,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69
,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86
,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102
,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115
,x116,x117,x118,x119,x120,x121,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,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,x268,x269,x270,x271
,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284
,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297
,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310
,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323
,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336
,x337,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349
,x350,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362
,x363,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,b374,b375
,b376,b377,b378,b379,b380,b381,b382,b383,b384,b385,b386,b387,b388;
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,x268,x269,x270,x271,x272,x273,x274,x275,x276
,x277,x278,x279,x280,x281,x282,x283,x284,x285,x286,x287,x288,x289
,x290,x291,x292,x293,x294,x295,x296,x297,x298,x299,x300,x301,x302
,x303,x304,x305,x306,x307,x308,x309,x310,x311,x312,x313,x314,x315
,x316,x317,x318,x319,x320,x321,x322,x323,x324,x325,x326,x327,x328
,x329,x330,x331,x332,x333,x334,x335,x336,x337,x338,x339,x340,x341
,x342,x343,x344,x345,x346,x347,x348,x349,x350,x351,x352,x353,x354
,x355,x356,x357,x358,x359,x360,x361,x362,x363,x364,x365,x366,x367
,x368,x369,x370,x371,x372,x373;
Binary Variables 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,b374,b375,b376,b377,b378,b379
,b380,b381,b382,b383,b384,b385,b386,b387,b388;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441
,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
,e481,e482,e483,e484,e485,e486,e487,e488,e489,e490,e491,e492,e493
,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
,e507,e508,e509,e510,e511,e512,e513,e514,e515,e516,e517,e518,e519
,e520,e521,e522,e523,e524,e525,e526,e527,e528,e529,e530,e531,e532
,e533,e534,e535,e536,e537,e538,e539,e540,e541,e542,e543,e544,e545
,e546,e547,e548,e549,e550,e551,e552,e553;
e1.. objvar + 4*x2 + 8*x7 + 5*x11 + 8*x23 - 23*x27 - 19*x29 + 10*x30 - 2*x33
- 3*x34 - 5*x35 - 4*x36 + 6*b237 + 40*b238 + 46*b239 + 7*b241 + 30*b242
+ 37*b243 + 7*b245 + 15*b246 + 22*b247 + 11*b249 + 13*b250 + 24*b251
+ 10*b253 + 13*b254 + 23*b255 + 9*b257 + 30*b258 + 39*b259 + 8*b261
+ 20*b262 + 28*b263 + 8*b265 + 15*b266 + 23*b267 - 5*x274 - 500*x292
- 350*x293 - 200*x304 - 250*x305 - 200*x306 - 200*x307 + 5*b374 + 8*b375
+ 6*b376 + 10*b377 + 6*b378 + 7*b379 + 4*b380 + 5*b381 + 2*b382 + 4*b383
+ 3*b384 + 7*b385 + 3*b386 + 2*b387 + 4*b388 =E= 0;
e2.. x2 - 0.2*x37 =E= 0;
e3.. x3 - 0.2*x38 =E= 0;
e4.. x4 - 0.2*x39 =E= 0;
e5.. x5 - 0.2*x40 =E= 0;
e6.. x6 - 0.2*x41 =E= 0;
e7.. x7 - 0.5*x42 =E= 0;
e8.. x8 - 0.5*x43 =E= 0;
e9.. x9 - 0.7*x44 =E= 0;
e10.. x10 - 0.7*x45 =E= 0;
e11.. x11 - 1.2*x46 =E= 0;
e12.. x12 - 1.2*x47 =E= 0;
e13.. x13 - 0.5*x48 =E= 0;
e14.. x14 - 0.7*x49 =E= 0;
e15.. x15 - 1.2*x50 =E= 0;
e16.. x16 - 1.2*x51 =E= 0;
e17.. x17 - 1.2*x52 =E= 0;
e18.. x18 - 1.2*x53 =E= 0;
e19.. x19 - 0.3*x54 =E= 0;
e20.. x20 - 0.9*x55 =E= 0;
e21.. x21 - 0.3*x56 =E= 0;
e22.. x22 - 0.9*x57 =E= 0;
e23.. x23 - 0.4*x58 =E= 0;
e24.. x24 - 0.4*x59 =E= 0;
e25.. x25 - 0.4*x60 =E= 0;
e26.. x26 - 1.6*x61 =E= 0;
e27.. x27 - 1.6*x62 =E= 0;
e28.. x28 - 1.1*x63 =E= 0;
e29.. x29 - 1.1*x64 =E= 0;
e30.. x30 - 0.7*x65 =E= 0;
e31.. x31 - 0.7*x66 =E= 0;
e32.. x32 - 0.7*x67 =E= 0;
e33.. x33 - 0.2*x68 =E= 0;
e34.. x34 - 0.7*x69 =E= 0;
e35.. x35 - 0.3*x70 =E= 0;
e36.. x36 - 0.9*x71 =E= 0;
e37.. x27 =G= 0.4;
e38.. x29 =G= 0.3;
e39.. x33 =G= 0.2;
e40.. x34 =G= 0.5;
e41.. x35 =G= 0.2;
e42.. x36 =G= 0.3;
e43.. x2 =L= 35;
e44.. x7 =L= 36;
e45.. x11 =L= 25;
e46.. x23 =L= 24;
e47.. x30 =L= 30;
e48.. x2 - x3 - x4 =E= 0;
e49.. x5 - x6 =E= 0;
e50.. x7 - x8 + x13 =E= 0;
e51.. x9 - x10 + x14 =E= 0;
e52.. x11 - x12 - x15 =E= 0;
e53.. x16 - x17 - x18 =E= 0;
e54.. x19 - x21 =E= 0;
e55.. x20 - x22 =E= 0;
e56.. x23 - x24 - x25 =E= 0;
e57.. x26 - x27 =E= 0;
e58.. x28 - x29 =E= 0;
e59.. x30 - x31 =E= 0;
e60.. x3 - x5 - x72 =E= 0;
e61.. x4 + x8 - x9 - x73 =E= 0;
e62.. x12 - x13 - x14 - x74 =E= 0;
e63.. x15 - x16 - x75 =E= 0;
e64.. x18 - x19 - x20 - x76 =E= 0;
e65.. x17 + x24 - x26 - x77 =E= 0;
e66.. x25 - x28 + x32 - x78 =E= 0;
e67.. x31 - x32 - x79 =E= 0;
e68.. x39 - x43 =L= 0;
e69.. x52 - x59 =L= 0;
e70.. x60 - x67 =L= 0;
e71.. x40 - x140 - x141 - x142 - x143 =E= 0;
e72.. x38 - x132 - x133 - x134 - x135 =E= 0;
e73.. x44 - x144 - x145 - x146 - x147 =E= 0;
e74.. x39 - x136 - x137 - x138 - x139 =E= 0;
e75.. x48 - x152 - x153 - x154 - x155 =E= 0;
e76.. x49 - x156 - x157 - x158 - x159 =E= 0;
e77.. x47 - x148 - x149 - x150 - x151 =E= 0;
e78.. x51 - x164 - x165 - x166 - x167 =E= 0;
e79.. x50 - x160 - x161 - x162 - x163 =E= 0;
e80.. x54 - x176 - x177 - x178 - x179 =E= 0;
e81.. x55 - x180 - x181 - x182 - x183 =E= 0;
e82.. x53 - x172 - x173 - x174 - x175 =E= 0;
e83.. x61 - x188 - x189 - x190 - x191 =E= 0;
e84.. x52 - x168 - x169 - x170 - x171 =E= 0;
e85.. x63 - x192 - x193 - x194 - x195 =E= 0;
e86.. x60 - x184 - x185 - x186 - x187 =E= 0;
e87.. x67 - x200 - x201 - x202 - x203 =E= 0;
e88.. x66 - x196 - x197 - x198 - x199 =E= 0;
e89.. x140 - 148.75*b236 =L= 0;
e90.. x141 - 148.75*b237 =L= 0;
e91.. x142 - 148.75*b238 =L= 0;
e92.. x143 - 148.75*b239 =L= 0;
e93.. x144 - 254.045833333333*b240 =L= 0;
e94.. x145 - 254.045833333333*b241 =L= 0;
e95.. x146 - 254.045833333333*b242 =L= 0;
e96.. x147 - 254.045833333333*b243 =L= 0;
e97.. x152 - 20.4166666666667*b244 =L= 0;
e98.. x153 - 20.4166666666667*b245 =L= 0;
e99.. x154 - 20.4166666666667*b246 =L= 0;
e100.. x155 - 20.4166666666667*b247 =L= 0;
e101.. x156 - 20.4166666666667*b244 =L= 0;
e102.. x157 - 20.4166666666667*b245 =L= 0;
e103.. x158 - 20.4166666666667*b246 =L= 0;
e104.. x159 - 20.4166666666667*b247 =L= 0;
e105.. x164 - 18.75*b248 =L= 0;
e106.. x165 - 18.75*b249 =L= 0;
e107.. x166 - 18.75*b250 =L= 0;
e108.. x167 - 18.75*b251 =L= 0;
e109.. x176 - 17.8125*b252 =L= 0;
e110.. x177 - 17.8125*b253 =L= 0;
e111.. x178 - 17.8125*b254 =L= 0;
e112.. x179 - 17.8125*b255 =L= 0;
e113.. x180 - 17.8125*b252 =L= 0;
e114.. x181 - 17.8125*b253 =L= 0;
e115.. x182 - 17.8125*b254 =L= 0;
e116.. x183 - 17.8125*b255 =L= 0;
e117.. x188 - 66.9375*b256 =L= 0;
e118.. x189 - 66.9375*b257 =L= 0;
e119.. x190 - 66.9375*b258 =L= 0;
e120.. x191 - 66.9375*b259 =L= 0;
e121.. x192 - 94.4571428571429*b260 =L= 0;
e122.. x193 - 94.4571428571429*b261 =L= 0;
e123.. x194 - 94.4571428571429*b262 =L= 0;
e124.. x195 - 94.4571428571429*b263 =L= 0;
e125.. x200 - 39.4285714285714*b264 =L= 0;
e126.. x201 - 39.4285714285714*b265 =L= 0;
e127.. x202 - 39.4285714285714*b266 =L= 0;
e128.. x203 - 39.4285714285714*b267 =L= 0;
e129.. x132 - 175*b236 =L= 0;
e130.. x133 - 175*b237 =L= 0;
e131.. x134 - 175*b238 =L= 0;
e132.. x135 - 175*b239 =L= 0;
e133.. x136 - 175*b240 =L= 0;
e134.. x137 - 175*b241 =L= 0;
e135.. x138 - 175*b242 =L= 0;
e136.. x139 - 175*b243 =L= 0;
e137.. x148 - 20.8333333333333*b244 =L= 0;
e138.. x149 - 20.8333333333333*b245 =L= 0;
e139.. x150 - 20.8333333333333*b246 =L= 0;
e140.. x151 - 20.8333333333333*b247 =L= 0;
e141.. x160 - 20.8333333333333*b248 =L= 0;
e142.. x161 - 20.8333333333333*b249 =L= 0;
e143.. x162 - 20.8333333333333*b250 =L= 0;
e144.. x163 - 20.8333333333333*b251 =L= 0;
e145.. x172 - 18.75*b252 =L= 0;
e146.. x173 - 18.75*b253 =L= 0;
e147.. x174 - 18.75*b254 =L= 0;
e148.. x175 - 18.75*b255 =L= 0;
e149.. x168 - 18.75*b256 =L= 0;
e150.. x169 - 18.75*b257 =L= 0;
e151.. x170 - 18.75*b258 =L= 0;
e152.. x171 - 18.75*b259 =L= 0;
e153.. x184 - 60*b260 =L= 0;
e154.. x185 - 60*b261 =L= 0;
e155.. x186 - 60*b262 =L= 0;
e156.. x187 - 60*b263 =L= 0;
e157.. x196 - 42.8571428571429*b264 =L= 0;
e158.. x197 - 42.8571428571429*b265 =L= 0;
e159.. x198 - 42.8571428571429*b266 =L= 0;
e160.. x199 - 42.8571428571429*b267 =L= 0;
e161.. - 0.8*x132 + x140 =E= 0;
e162.. - 0.85*x133 + x141 =E= 0;
e163.. - 0.8*x134 + x142 =E= 0;
e164.. - 0.85*x135 + x143 =E= 0;
e165.. - 0.9*x136 + x144 =E= 0;
e166.. - 0.95*x137 + x145 =E= 0;
e167.. - 0.9*x138 + x146 =E= 0;
e168.. - 0.95*x139 + x147 =E= 0;
e169.. - 0.85*x148 + x152 =E= 0;
e170.. - 0.98*x149 + x153 =E= 0;
e171.. - 0.85*x150 + x154 =E= 0;
e172.. - 0.98*x151 + x155 =E= 0;
e173.. - 0.85*x148 + x156 =E= 0;
e174.. - 0.98*x149 + x157 =E= 0;
e175.. - 0.85*x150 + x158 =E= 0;
e176.. - 0.98*x151 + x159 =E= 0;
e177.. - 0.85*x160 + x164 =E= 0;
e178.. - 0.9*x161 + x165 =E= 0;
e179.. - 0.85*x162 + x166 =E= 0;
e180.. - 0.9*x163 + x167 =E= 0;
e181.. - 0.75*x172 + x176 =E= 0;
e182.. - 0.95*x173 + x177 =E= 0;
e183.. - 0.9*x174 + x178 =E= 0;
e184.. - 0.95*x175 + x179 =E= 0;
e185.. - 0.75*x172 + x180 =E= 0;
e186.. - 0.95*x173 + x181 =E= 0;
e187.. - 0.9*x174 + x182 =E= 0;
e188.. - 0.95*x175 + x183 =E= 0;
e189.. - 0.8*x168 + x188 =E= 0;
e190.. - 0.85*x169 + x189 =E= 0;
e191.. - 0.8*x170 + x190 =E= 0;
e192.. - 0.85*x171 + x191 =E= 0;
e193.. - 0.85*x184 + x192 =E= 0;
e194.. - 0.95*x185 + x193 =E= 0;
e195.. - 0.85*x186 + x194 =E= 0;
e196.. - 0.95*x187 + x195 =E= 0;
e197.. - 0.8*x196 + x200 =E= 0;
e198.. - 0.92*x197 + x201 =E= 0;
e199.. - 0.8*x198 + x202 =E= 0;
e200.. - 0.92*x199 + x203 =E= 0;
e201.. x3 - x88 - x89 - x90 - x91 =E= 0;
e202.. x4 - x92 - x93 - x94 - x95 =E= 0;
e203.. x8 - x96 - x97 - x98 - x99 =E= 0;
e204.. x12 - x100 - x101 - x102 - x103 =E= 0;
e205.. x15 - x104 - x105 - x106 - x107 =E= 0;
e206.. x18 - x112 - x113 - x114 - x115 =E= 0;
e207.. x17 - x108 - x109 - x110 - x111 =E= 0;
e208.. x24 - x116 - x117 - x118 - x119 =E= 0;
e209.. x25 - x120 - x121 - x122 - x123 =E= 0;
e210.. x32 - x128 - x129 - x130 - x131 =E= 0;
e211.. x31 - x124 - x125 - x126 - x127 =E= 0;
e212.. x88 - 35*b236 =L= 0;
e213.. x89 - 35*b237 =L= 0;
e214.. x90 - 35*b238 =L= 0;
e215.. x91 - 35*b239 =L= 0;
e216.. x92 - 35*b240 =L= 0;
e217.. x93 - 35*b241 =L= 0;
e218.. x94 - 35*b242 =L= 0;
e219.. x95 - 35*b243 =L= 0;
e220.. x96 - 61*b240 =L= 0;
e221.. x97 - 61*b241 =L= 0;
e222.. x98 - 61*b242 =L= 0;
e223.. x99 - 61*b243 =L= 0;
e224.. x100 - 25*b244 =L= 0;
e225.. x101 - 25*b245 =L= 0;
e226.. x102 - 25*b246 =L= 0;
e227.. x103 - 25*b247 =L= 0;
e228.. x104 - 25*b248 =L= 0;
e229.. x105 - 25*b249 =L= 0;
e230.. x106 - 25*b250 =L= 0;
e231.. x107 - 25*b251 =L= 0;
e232.. x112 - 25*b252 =L= 0;
e233.. x113 - 25*b253 =L= 0;
e234.. x114 - 25*b254 =L= 0;
e235.. x115 - 25*b255 =L= 0;
e236.. x108 - 25*b256 =L= 0;
e237.. x109 - 25*b257 =L= 0;
e238.. x110 - 25*b258 =L= 0;
e239.. x111 - 25*b259 =L= 0;
e240.. x116 - 24*b256 =L= 0;
e241.. x117 - 24*b257 =L= 0;
e242.. x118 - 24*b258 =L= 0;
e243.. x119 - 24*b259 =L= 0;
e244.. x120 - 24*b260 =L= 0;
e245.. x121 - 24*b261 =L= 0;
e246.. x122 - 24*b262 =L= 0;
e247.. x123 - 24*b263 =L= 0;
e248.. x128 - 30*b260 =L= 0;
e249.. x129 - 30*b261 =L= 0;
e250.. x130 - 30*b262 =L= 0;
e251.. x131 - 30*b263 =L= 0;
e252.. x124 - 30*b264 =L= 0;
e253.. x125 - 30*b265 =L= 0;
e254.. x126 - 30*b266 =L= 0;
e255.. x127 - 30*b267 =L= 0;
e256.. x88 - 10*b236 =L= 0;
e257.. x89 - 10*b237 =L= 0;
e258.. x90 - 50*b238 =L= 0;
e259.. x91 - 50*b239 =L= 0;
e260.. x92 + x96 - 40*b240 =L= 0;
e261.. x93 + x97 - 40*b241 =L= 0;
e262.. x94 + x98 - 60*b242 =L= 0;
e263.. x95 + x99 - 60*b243 =L= 0;
e264.. x100 - 15*b244 =L= 0;
e265.. x101 - 15*b245 =L= 0;
e266.. x102 - 25*b246 =L= 0;
e267.. x103 - 25*b247 =L= 0;
e268.. x104 - 15*b248 =L= 0;
e269.. x105 - 15*b249 =L= 0;
e270.. x106 - 20*b250 =L= 0;
e271.. x107 - 20*b251 =L= 0;
e272.. x112 - 10*b252 =L= 0;
e273.. x113 - 10*b253 =L= 0;
e274.. x114 - 20*b254 =L= 0;
e275.. x115 - 20*b255 =L= 0;
e276.. x108 + x116 - 20*b256 =L= 0;
e277.. x109 + x117 - 20*b257 =L= 0;
e278.. x110 + x118 - 55*b258 =L= 0;
e279.. x111 + x119 - 55*b259 =L= 0;
e280.. x120 + x128 - 25*b260 =L= 0;
e281.. x121 + x129 - 25*b261 =L= 0;
e282.. x122 + x130 - 50*b262 =L= 0;
e283.. x123 + x131 - 50*b263 =L= 0;
e284.. x124 - 15*b264 =L= 0;
e285.. x125 - 15*b265 =L= 0;
e286.. x126 - 35*b266 =L= 0;
e287.. x127 - 35*b267 =L= 0;
e288.. x80 - x204 - x205 - x206 - x207 =E= 0;
e289.. x81 - x208 - x209 - x210 - x211 =E= 0;
e290.. x82 - x212 - x213 - x214 - x215 =E= 0;
e291.. x83 - x216 - x217 - x218 - x219 =E= 0;
e292.. x84 - x220 - x221 - x222 - x223 =E= 0;
e293.. x85 - x224 - x225 - x226 - x227 =E= 0;
e294.. x86 - x228 - x229 - x230 - x231 =E= 0;
e295.. x87 - x232 - x233 - x234 - x235 =E= 0;
e296.. x204 =L= 0;
e297.. x205 - 6*b237 =L= 0;
e298.. x206 - 40*b238 =L= 0;
e299.. x207 - 46*b239 =L= 0;
e300.. x208 =L= 0;
e301.. x209 - 7*b241 =L= 0;
e302.. x210 - 30*b242 =L= 0;
e303.. x211 - 37*b243 =L= 0;
e304.. x212 =L= 0;
e305.. x213 - 7*b245 =L= 0;
e306.. x214 - 15*b246 =L= 0;
e307.. x215 - 22*b247 =L= 0;
e308.. x216 =L= 0;
e309.. x217 - 11*b249 =L= 0;
e310.. x218 - 13*b250 =L= 0;
e311.. x219 - 24*b251 =L= 0;
e312.. x220 =L= 0;
e313.. x221 - 10*b253 =L= 0;
e314.. x222 - 13*b254 =L= 0;
e315.. x223 - 23*b255 =L= 0;
e316.. x224 =L= 0;
e317.. x225 - 9*b257 =L= 0;
e318.. x226 - 30*b258 =L= 0;
e319.. x227 - 39*b259 =L= 0;
e320.. x228 =L= 0;
e321.. x229 - 8*b261 =L= 0;
e322.. x230 - 20*b262 =L= 0;
e323.. x231 - 28*b263 =L= 0;
e324.. x232 =L= 0;
e325.. x233 - 8*b265 =L= 0;
e326.. x234 - 15*b266 =L= 0;
e327.. x235 - 23*b267 =L= 0;
e328.. x204 =E= 0;
e329.. x205 - 6*b237 =E= 0;
e330.. x206 - 40*b238 =E= 0;
e331.. x207 - 46*b239 =E= 0;
e332.. x208 =E= 0;
e333.. x209 - 7*b241 =E= 0;
e334.. x210 - 30*b242 =E= 0;
e335.. x211 - 37*b243 =E= 0;
e336.. x212 =E= 0;
e337.. x213 - 7*b245 =E= 0;
e338.. x214 - 15*b246 =E= 0;
e339.. x215 - 22*b247 =E= 0;
e340.. x216 =E= 0;
e341.. x217 - 11*b249 =E= 0;
e342.. x218 - 13*b250 =E= 0;
e343.. x219 - 24*b251 =E= 0;
e344.. x220 =E= 0;
e345.. x221 - 10*b253 =E= 0;
e346.. x222 - 13*b254 =E= 0;
e347.. x223 - 23*b255 =E= 0;
e348.. x224 =E= 0;
e349.. x225 - 9*b257 =E= 0;
e350.. x226 - 30*b258 =E= 0;
e351.. x227 - 39*b259 =E= 0;
e352.. x228 =E= 0;
e353.. x229 - 8*b261 =E= 0;
e354.. x230 - 20*b262 =E= 0;
e355.. x231 - 28*b263 =E= 0;
e356.. x232 =E= 0;
e357.. x233 - 8*b265 =E= 0;
e358.. x234 - 15*b266 =E= 0;
e359.. x235 - 23*b267 =E= 0;
e360.. 4*x2 + 8*x7 + 5*x11 + 8*x23 + 10*x30 + x80 + x81 + x82 + x83 + x84
+ x85 + x86 + x87 =L= 4000;
e361.. b236 + b237 + b238 + b239 =E= 1;
e362.. b240 + b241 + b242 + b243 =E= 1;
e363.. b244 + b245 + b246 + b247 =E= 1;
e364.. b248 + b249 + b250 + b251 =E= 1;
e365.. b252 + b253 + b254 + b255 =E= 1;
e366.. b256 + b257 + b258 + b259 =E= 1;
e367.. b260 + b261 + b262 + b263 =E= 1;
e368.. b264 + b265 + b266 + b267 =E= 1;
e369.. x6 - x33 - x268 =E= 0;
e370.. x10 - x34 - x279 =E= 0;
e371.. x21 - x35 - x296 =E= 0;
e372.. x22 - x36 - x297 =E= 0;
e373.. x268 - x269 - x270 =E= 0;
e374.. - x271 - x272 + x273 =E= 0;
e375.. x273 - x274 - x275 =E= 0;
e376.. x275 - x276 - x277 - x278 =E= 0;
e377.. x280 - x283 - x284 =E= 0;
e378.. x282 - x285 - x286 - x287 =E= 0;
e379.. x290 - x294 - x295 =E= 0;
e380.. - x291 - x297 + x298 =E= 0;
e381.. x292 - x299 - x300 =E= 0;
e382.. x293 - x301 - x302 - x303 =E= 0;
e383.. (x312/(1e-6 + b374) - log(1 + x308/(1e-6 + b374)))*(1e-6 + b374) =L= 0;
e384.. x309 =E= 0;
e385.. x313 =E= 0;
e386.. x269 - x308 - x309 =E= 0;
e387.. x271 - x312 - x313 =E= 0;
e388.. x308 - 10*b374 =L= 0;
e389.. x309 + 10*b374 =L= 10;
e390.. x312 - 2.39789527279837*b374 =L= 0;
e391.. x313 + 2.39789527279837*b374 =L= 2.39789527279837;
e392.. (x314/(1e-6 + b375) - 1.2*log(1 + x310/(1e-6 + b375)))*(1e-6 + b375)
=L= 0;
e393.. x311 =E= 0;
e394.. x315 =E= 0;
e395.. x270 - x310 - x311 =E= 0;
e396.. x272 - x314 - x315 =E= 0;
e397.. x310 - 10*b375 =L= 0;
e398.. x311 + 10*b375 =L= 10;
e399.. x314 - 2.87747432735804*b375 =L= 0;
e400.. x315 + 2.87747432735804*b375 =L= 2.87747432735804;
e401.. - 0.75*x316 + x324 =E= 0;
e402.. x317 =E= 0;
e403.. x325 =E= 0;
e404.. x276 - x316 - x317 =E= 0;
e405.. x280 - x324 - x325 =E= 0;
e406.. x316 - 2.87747432735804*b376 =L= 0;
e407.. x317 + 2.87747432735804*b376 =L= 2.87747432735804;
e408.. x324 - 2.15810574551853*b376 =L= 0;
e409.. x325 + 2.15810574551853*b376 =L= 2.15810574551853;
e410.. (x326/(1e-6 + b377) - 1.5*log(1 + x318/(1e-6 + b377)))*(1e-6 + b377)
=L= 0;
e411.. x319 =E= 0;
e412.. x328 =E= 0;
e413.. x277 - x318 - x319 =E= 0;
e414.. x281 - x326 - x328 =E= 0;
e415.. x318 - 2.87747432735804*b377 =L= 0;
e416.. x319 + 2.87747432735804*b377 =L= 2.87747432735804;
e417.. x326 - 2.03277599268042*b377 =L= 0;
e418.. x328 + 2.03277599268042*b377 =L= 2.03277599268042;
e419.. - x320 + x330 =E= 0;
e420.. - 0.5*x322 + x330 =E= 0;
e421.. x321 =E= 0;
e422.. x323 =E= 0;
e423.. x331 =E= 0;
e424.. x278 - x320 - x321 =E= 0;
e425.. x279 - x322 - x323 =E= 0;
e426.. x282 - x330 - x331 =E= 0;
e427.. x320 - 2.87747432735804*b378 =L= 0;
e428.. x321 + 2.87747432735804*b378 =L= 2.87747432735804;
e429.. x322 - 7*b378 =L= 0;
e430.. x323 + 7*b378 =L= 7;
e431.. x330 - 3.5*b378 =L= 0;
e432.. x331 + 3.5*b378 =L= 3.5;
e433.. (x342/(1e-6 + b379) - 1.25*log(1 + x332/(1e-6 + b379)))*(1e-6 + b379)
=L= 0;
e434.. x333 =E= 0;
e435.. x344 =E= 0;
e436.. x283 - x332 - x333 =E= 0;
e437.. x288 - x342 - x344 =E= 0;
e438.. x332 - 2.15810574551853*b379 =L= 0;
e439.. x333 + 2.15810574551853*b379 =L= 2.15810574551853;
e440.. x342 - 1.43746550029693*b379 =L= 0;
e441.. x344 + 1.43746550029693*b379 =L= 1.43746550029693;
e442.. (x346/(1e-6 + b380) - 0.9*log(1 + x334/(1e-6 + b380)))*(1e-6 + b380)
=L= 0;
e443.. x335 =E= 0;
e444.. x348 =E= 0;
e445.. x284 - x334 - x335 =E= 0;
e446.. x289 - x346 - x348 =E= 0;
e447.. x334 - 2.15810574551853*b380 =L= 0;
e448.. x335 + 2.15810574551853*b380 =L= 2.15810574551853;
e449.. x346 - 1.03497516021379*b380 =L= 0;
e450.. x348 + 1.03497516021379*b380 =L= 1.03497516021379;
e451.. (x350/(1e-6 + b381) - log(1 + x327/(1e-6 + b381)))*(1e-6 + b381) =L= 0;
e452.. x329 =E= 0;
e453.. x351 =E= 0;
e454.. x281 - x327 - x329 =E= 0;
e455.. x290 - x350 - x351 =E= 0;
e456.. x327 - 2.03277599268042*b381 =L= 0;
e457.. x329 + 2.03277599268042*b381 =L= 2.03277599268042;
e458.. x350 - 1.10947836929589*b381 =L= 0;
e459.. x351 + 1.10947836929589*b381 =L= 1.10947836929589;
e460.. - 0.9*x336 + x352 =E= 0;
e461.. x337 =E= 0;
e462.. x353 =E= 0;
e463.. x285 - x336 - x337 =E= 0;
e464.. x291 - x352 - x353 =E= 0;
e465.. x336 - 3.5*b382 =L= 0;
e466.. x337 + 3.5*b382 =L= 3.5;
e467.. x352 - 3.15*b382 =L= 0;
e468.. x353 + 3.15*b382 =L= 3.15;
e469.. - 0.6*x338 + x354 =E= 0;
e470.. x339 =E= 0;
e471.. x355 =E= 0;
e472.. x286 - x338 - x339 =E= 0;
e473.. x292 - x354 - x355 =E= 0;
e474.. x338 - 3.5*b383 =L= 0;
e475.. x339 + 3.5*b383 =L= 3.5;
e476.. x354 - 2.1*b383 =L= 0;
e477.. x355 + 2.1*b383 =L= 2.1;
e478.. (x356/(1e-6 + b384) - 1.1*log(1 + x340/(1e-6 + b384)))*(1e-6 + b384)
=L= 0;
e479.. x341 =E= 0;
e480.. x357 =E= 0;
e481.. x287 - x340 - x341 =E= 0;
e482.. x293 - x356 - x357 =E= 0;
e483.. x340 - 3.5*b384 =L= 0;
e484.. x341 + 3.5*b384 =L= 3.5;
e485.. x356 - 1.6544851364539*b384 =L= 0;
e486.. x357 + 1.6544851364539*b384 =L= 1.6544851364539;
e487.. - 0.9*x343 + x366 =E= 0;
e488.. - x362 + x366 =E= 0;
e489.. x345 =E= 0;
e490.. x363 =E= 0;
e491.. x367 =E= 0;
e492.. x288 - x343 - x345 =E= 0;
e493.. x296 - x362 - x363 =E= 0;
e494.. x304 - x366 - x367 =E= 0;
e495.. x343 - 1.43746550029693*b385 =L= 0;
e496.. x345 + 1.43746550029693*b385 =L= 1.43746550029693;
e497.. x362 - 5*b385 =L= 0;
e498.. x363 + 5*b385 =L= 5;
e499.. x366 - 5*b385 =L= 0;
e500.. x367 + 5*b385 =L= 5;
e501.. (x368/(1e-6 + b386) - log(1 + x347/(1e-6 + b386)))*(1e-6 + b386) =L= 0;
e502.. x349 =E= 0;
e503.. x369 =E= 0;
e504.. x289 - x347 - x349 =E= 0;
e505.. x305 - x368 - x369 =E= 0;
e506.. x347 - 1.03497516021379*b386 =L= 0;
e507.. x349 + 1.03497516021379*b386 =L= 1.03497516021379;
e508.. x368 - 0.710483612536911*b386 =L= 0;
e509.. x369 + 0.710483612536911*b386 =L= 0.710483612536911;
e510.. (x370/(1e-6 + b387) - 0.7*log(1 + x358/(1e-6 + b387)))*(1e-6 + b387)
=L= 0;
e511.. x359 =E= 0;
e512.. x371 =E= 0;
e513.. x294 - x358 - x359 =E= 0;
e514.. x306 - x370 - x371 =E= 0;
e515.. x358 - 1.10947836929589*b387 =L= 0;
e516.. x359 + 1.10947836929589*b387 =L= 1.10947836929589;
e517.. x370 - 0.522508489006913*b387 =L= 0;
e518.. x371 + 0.522508489006913*b387 =L= 0.522508489006913;
e519.. (x372/(1e-6 + b388) - 0.65*log(1 + x360/(1e-6 + b388)))*(1e-6 + b388)
=L= 0;
e520.. (x372/(1e-6 + b388) - 0.65*log(1 + x364/(1e-6 + b388)))*(1e-6 + b388)
=L= 0;
e521.. x361 =E= 0;
e522.. x365 =E= 0;
e523.. x373 =E= 0;
e524.. x295 - x360 - x361 =E= 0;
e525.. x298 - x364 - x365 =E= 0;
e526.. x307 - x372 - x373 =E= 0;
e527.. x360 - 1.10947836929589*b388 =L= 0;
e528.. x361 + 1.10947836929589*b388 =L= 1.10947836929589;
e529.. x364 - 8.15*b388 =L= 0;
e530.. x365 + 8.15*b388 =L= 8.15;
e531.. x372 - 1.43894002153683*b388 =L= 0;
e532.. x373 + 1.43894002153683*b388 =L= 1.43894002153683;
e533.. b374 + b375 =E= 1;
e534.. - b376 + b379 + b380 =G= 0;
e535.. - b379 + b385 =G= 0;
e536.. - b380 + b386 =G= 0;
e537.. - b377 + b381 =G= 0;
e538.. - b381 + b387 + b388 =G= 0;
e539.. - b378 + b382 + b383 + b384 =G= 0;
e540.. - b382 + b388 =G= 0;
e541.. b374 + b375 - b376 =G= 0;
e542.. b374 + b375 - b377 =G= 0;
e543.. b374 + b375 - b378 =G= 0;
e544.. b376 - b379 =G= 0;
e545.. b376 - b380 =G= 0;
e546.. b377 - b381 =G= 0;
e547.. b378 - b382 =G= 0;
e548.. b378 - b383 =G= 0;
e549.. b378 - b384 =G= 0;
e550.. b379 - b385 =G= 0;
e551.. b380 - b386 =G= 0;
e552.. b381 - b387 =G= 0;
e553.. b381 - b388 =G= 0;
* set non-default bounds
x268.up = 10;
x279.up = 7;
x296.up = 5;
x297.up = 5;
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