MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Removed Instance rsyn0820h
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ⓘ | 1150.50081600 (ALPHAECP) 1150.30107400 (ANTIGONE) 1150.30107400 (BARON) 1150.30107400 (BONMIN) 2904.99520000 (COUENNE) 1150.30107300 (LINDO) 1150.30196700 (SCIP) 1150.30221900 (SHOT) |
Referencesⓘ | Sawaya, Nicolas W, Reformulations, relaxations and cutting planes for generalized disjunctive programming, PhD thesis, Carnegie Mellon University, 2006. |
Sourceⓘ | RSyn0820H.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Removed becauseⓘ | Superseded by rsyn0820hfsg. |
Problem typeⓘ | MBNLP |
#Variablesⓘ | 417 |
#Binary Variablesⓘ | 52 |
#Integer Variablesⓘ | 0 |
#Nonlinear Variablesⓘ | 40 |
#Nonlinear Binary Variablesⓘ | 13 |
#Nonlinear Integer Variablesⓘ | 0 |
Objective Senseⓘ | max |
Objective typeⓘ | linear |
Objective curvatureⓘ | linear |
#Nonzeros in Objectiveⓘ | 65 |
#Nonlinear Nonzeros in Objectiveⓘ | 0 |
#Constraintsⓘ | 604 |
#Linear Constraintsⓘ | 590 |
#Quadratic Constraintsⓘ | 0 |
#Polynomial Constraintsⓘ | 0 |
#Signomial Constraintsⓘ | 0 |
#General Nonlinear Constraintsⓘ | 14 |
Operands in Gen. Nonlin. Functionsⓘ | div log mul |
Constraints curvatureⓘ | convex |
#Nonzeros in Jacobianⓘ | 1391 |
#Nonlinear Nonzeros in Jacobianⓘ | 42 |
#Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 81 |
#Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 27 |
#Blocks in Hessian of Lagrangianⓘ | 13 |
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ⓘ | 7.0000e+02 |
Infeasibility of initial pointⓘ | 1 |
Sparsity Jacobianⓘ | |
Sparsity Hessian of Lagrangianⓘ |
$offlisting * * Equation counts * Total E G L N X C B * 605 283 33 289 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 418 366 52 0 0 0 0 0 * FX 0 * * Nonzero counts * Total const NL DLL * 1457 1415 42 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,x374,x375 ,x376,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388 ,x389,x390,x391,x392,x393,x394,x395,x396,x397,x398,b399,b400,b401 ,b402,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412,b413,b414 ,b415,b416,b417,b418; 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,x374,x375,x376,x377,x378,x379,x380 ,x381,x382,x383,x384,x385,x386,x387,x388,x389,x390,x391,x392,x393 ,x394,x395,x396,x397,x398; 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,b399,b400,b401,b402,b403,b404 ,b405,b406,b407,b408,b409,b410,b411,b412,b413,b414,b415,b416,b417 ,b418; 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,e554,e555,e556,e557,e558 ,e559,e560,e561,e562,e563,e564,e565,e566,e567,e568,e569,e570,e571 ,e572,e573,e574,e575,e576,e577,e578,e579,e580,e581,e582,e583,e584 ,e585,e586,e587,e588,e589,e590,e591,e592,e593,e594,e595,e596,e597 ,e598,e599,e600,e601,e602,e603,e604,e605; e1.. objvar + 10*x2 + 15*x7 + 18*x11 + 19*x23 - 35*x27 - 28*x29 + 16*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 - 200*x304 - 250*x305 - 200*x306 - 700*x307 - 400*x308 - 500*x309 - 400*x310 - 600*x311 - 700*x312 + 5*b399 + 8*b400 + 6*b401 + 10*b402 + 6*b403 + 7*b404 + 4*b405 + 5*b406 + 2*b407 + 4*b408 + 3*b409 + 7*b410 + 3*b411 + 2*b412 + 4*b413 + 2*b414 + 3*b415 + 5*b416 + 2*b417 + 8*b418 =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.. 10*x2 + 15*x7 + 18*x11 + 19*x23 + 16*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.. (x317/(1e-6 + b399) - log(1 + x313/(1e-6 + b399)))*(1e-6 + b399) =L= 0; e384.. x314 =E= 0; e385.. x318 =E= 0; e386.. x269 - x313 - x314 =E= 0; e387.. x271 - x317 - x318 =E= 0; e388.. x313 - 10*b399 =L= 0; e389.. x314 + 10*b399 =L= 10; e390.. x317 - 2.39789527279837*b399 =L= 0; e391.. x318 + 2.39789527279837*b399 =L= 2.39789527279837; e392.. (x319/(1e-6 + b400) - 1.2*log(1 + x315/(1e-6 + b400)))*(1e-6 + b400) =L= 0; e393.. x316 =E= 0; e394.. x320 =E= 0; e395.. x270 - x315 - x316 =E= 0; e396.. x272 - x319 - x320 =E= 0; e397.. x315 - 10*b400 =L= 0; e398.. x316 + 10*b400 =L= 10; e399.. x319 - 2.87747432735804*b400 =L= 0; e400.. x320 + 2.87747432735804*b400 =L= 2.87747432735804; e401.. - 0.75*x321 + x329 =E= 0; e402.. x322 =E= 0; e403.. x330 =E= 0; e404.. x276 - x321 - x322 =E= 0; e405.. x280 - x329 - x330 =E= 0; e406.. x321 - 2.87747432735804*b401 =L= 0; e407.. x322 + 2.87747432735804*b401 =L= 2.87747432735804; e408.. x329 - 2.15810574551853*b401 =L= 0; e409.. x330 + 2.15810574551853*b401 =L= 2.15810574551853; e410.. (x331/(1e-6 + b402) - 1.5*log(1 + x323/(1e-6 + b402)))*(1e-6 + b402) =L= 0; e411.. x324 =E= 0; e412.. x333 =E= 0; e413.. x277 - x323 - x324 =E= 0; e414.. x281 - x331 - x333 =E= 0; e415.. x323 - 2.87747432735804*b402 =L= 0; e416.. x324 + 2.87747432735804*b402 =L= 2.87747432735804; e417.. x331 - 2.03277599268042*b402 =L= 0; e418.. x333 + 2.03277599268042*b402 =L= 2.03277599268042; e419.. - x325 + x335 =E= 0; e420.. - 0.5*x327 + x335 =E= 0; e421.. x326 =E= 0; e422.. x328 =E= 0; e423.. x336 =E= 0; e424.. x278 - x325 - x326 =E= 0; e425.. x279 - x327 - x328 =E= 0; e426.. x282 - x335 - x336 =E= 0; e427.. x325 - 2.87747432735804*b403 =L= 0; e428.. x326 + 2.87747432735804*b403 =L= 2.87747432735804; e429.. x327 - 7*b403 =L= 0; e430.. x328 + 7*b403 =L= 7; e431.. x335 - 3.5*b403 =L= 0; e432.. x336 + 3.5*b403 =L= 3.5; e433.. (x347/(1e-6 + b404) - 1.25*log(1 + x337/(1e-6 + b404)))*(1e-6 + b404) =L= 0; e434.. x338 =E= 0; e435.. x349 =E= 0; e436.. x283 - x337 - x338 =E= 0; e437.. x288 - x347 - x349 =E= 0; e438.. x337 - 2.15810574551853*b404 =L= 0; e439.. x338 + 2.15810574551853*b404 =L= 2.15810574551853; e440.. x347 - 1.43746550029693*b404 =L= 0; e441.. x349 + 1.43746550029693*b404 =L= 1.43746550029693; e442.. (x351/(1e-6 + b405) - 0.9*log(1 + x339/(1e-6 + b405)))*(1e-6 + b405) =L= 0; e443.. x340 =E= 0; e444.. x353 =E= 0; e445.. x284 - x339 - x340 =E= 0; e446.. x289 - x351 - x353 =E= 0; e447.. x339 - 2.15810574551853*b405 =L= 0; e448.. x340 + 2.15810574551853*b405 =L= 2.15810574551853; e449.. x351 - 1.03497516021379*b405 =L= 0; e450.. x353 + 1.03497516021379*b405 =L= 1.03497516021379; e451.. (x355/(1e-6 + b406) - log(1 + x332/(1e-6 + b406)))*(1e-6 + b406) =L= 0; e452.. x334 =E= 0; e453.. x356 =E= 0; e454.. x281 - x332 - x334 =E= 0; e455.. x290 - x355 - x356 =E= 0; e456.. x332 - 2.03277599268042*b406 =L= 0; e457.. x334 + 2.03277599268042*b406 =L= 2.03277599268042; e458.. x355 - 1.10947836929589*b406 =L= 0; e459.. x356 + 1.10947836929589*b406 =L= 1.10947836929589; e460.. - 0.9*x341 + x357 =E= 0; e461.. x342 =E= 0; e462.. x358 =E= 0; e463.. x285 - x341 - x342 =E= 0; e464.. x291 - x357 - x358 =E= 0; e465.. x341 - 3.5*b407 =L= 0; e466.. x342 + 3.5*b407 =L= 3.5; e467.. x357 - 3.15*b407 =L= 0; e468.. x358 + 3.15*b407 =L= 3.15; e469.. - 0.6*x343 + x359 =E= 0; e470.. x344 =E= 0; e471.. x360 =E= 0; e472.. x286 - x343 - x344 =E= 0; e473.. x292 - x359 - x360 =E= 0; e474.. x343 - 3.5*b408 =L= 0; e475.. x344 + 3.5*b408 =L= 3.5; e476.. x359 - 2.1*b408 =L= 0; e477.. x360 + 2.1*b408 =L= 2.1; e478.. (x361/(1e-6 + b409) - 1.1*log(1 + x345/(1e-6 + b409)))*(1e-6 + b409) =L= 0; e479.. x346 =E= 0; e480.. x362 =E= 0; e481.. x287 - x345 - x346 =E= 0; e482.. x293 - x361 - x362 =E= 0; e483.. x345 - 3.5*b409 =L= 0; e484.. x346 + 3.5*b409 =L= 3.5; e485.. x361 - 1.6544851364539*b409 =L= 0; e486.. x362 + 1.6544851364539*b409 =L= 1.6544851364539; e487.. - 0.9*x348 + x381 =E= 0; e488.. - x367 + x381 =E= 0; e489.. x350 =E= 0; e490.. x368 =E= 0; e491.. x382 =E= 0; e492.. x288 - x348 - x350 =E= 0; e493.. x296 - x367 - x368 =E= 0; e494.. x304 - x381 - x382 =E= 0; e495.. x348 - 1.43746550029693*b410 =L= 0; e496.. x350 + 1.43746550029693*b410 =L= 1.43746550029693; e497.. x367 - 5*b410 =L= 0; e498.. x368 + 5*b410 =L= 5; e499.. x381 - 5*b410 =L= 0; e500.. x382 + 5*b410 =L= 5; e501.. (x383/(1e-6 + b411) - log(1 + x352/(1e-6 + b411)))*(1e-6 + b411) =L= 0; e502.. x354 =E= 0; e503.. x384 =E= 0; e504.. x289 - x352 - x354 =E= 0; e505.. x305 - x383 - x384 =E= 0; e506.. x352 - 1.03497516021379*b411 =L= 0; e507.. x354 + 1.03497516021379*b411 =L= 1.03497516021379; e508.. x383 - 0.710483612536911*b411 =L= 0; e509.. x384 + 0.710483612536911*b411 =L= 0.710483612536911; e510.. (x385/(1e-6 + b412) - 0.7*log(1 + x363/(1e-6 + b412)))*(1e-6 + b412) =L= 0; e511.. x364 =E= 0; e512.. x386 =E= 0; e513.. x294 - x363 - x364 =E= 0; e514.. x306 - x385 - x386 =E= 0; e515.. x363 - 1.10947836929589*b412 =L= 0; e516.. x364 + 1.10947836929589*b412 =L= 1.10947836929589; e517.. x385 - 0.522508489006913*b412 =L= 0; e518.. x386 + 0.522508489006913*b412 =L= 0.522508489006913; e519.. (x387/(1e-6 + b413) - 0.65*log(1 + x365/(1e-6 + b413)))*(1e-6 + b413) =L= 0; e520.. (x387/(1e-6 + b413) - 0.65*log(1 + x369/(1e-6 + b413)))*(1e-6 + b413) =L= 0; e521.. x366 =E= 0; e522.. x370 =E= 0; e523.. x388 =E= 0; e524.. x295 - x365 - x366 =E= 0; e525.. x298 - x369 - x370 =E= 0; e526.. x307 - x387 - x388 =E= 0; e527.. x365 - 1.10947836929589*b413 =L= 0; e528.. x366 + 1.10947836929589*b413 =L= 1.10947836929589; e529.. x369 - 8.15*b413 =L= 0; e530.. x370 + 8.15*b413 =L= 8.15; e531.. x387 - 1.43894002153683*b413 =L= 0; e532.. x388 + 1.43894002153683*b413 =L= 1.43894002153683; e533.. - x371 + x389 =E= 0; e534.. x372 =E= 0; e535.. x390 =E= 0; e536.. x299 - x371 - x372 =E= 0; e537.. x308 - x389 - x390 =E= 0; e538.. x371 - 2.1*b414 =L= 0; e539.. x372 + 2.1*b414 =L= 2.1; e540.. x389 - 2.1*b414 =L= 0; e541.. x390 + 2.1*b414 =L= 2.1; e542.. - x373 + x391 =E= 0; e543.. x374 =E= 0; e544.. x392 =E= 0; e545.. x300 - x373 - x374 =E= 0; e546.. x309 - x391 - x392 =E= 0; e547.. x373 - 2.1*b415 =L= 0; e548.. x374 + 2.1*b415 =L= 2.1; e549.. x391 - 2.1*b415 =L= 0; e550.. x392 + 2.1*b415 =L= 2.1; e551.. (x393/(1e-6 + b416) - 0.75*log(1 + x375/(1e-6 + b416)))*(1e-6 + b416) =L= 0; e552.. x376 =E= 0; e553.. x394 =E= 0; e554.. x301 - x375 - x376 =E= 0; e555.. x310 - x393 - x394 =E= 0; e556.. x375 - 1.6544851364539*b416 =L= 0; e557.. x376 + 1.6544851364539*b416 =L= 1.6544851364539; e558.. x393 - 0.732188035236726*b416 =L= 0; e559.. x394 + 0.732188035236726*b416 =L= 0.732188035236726; e560.. (x395/(1e-6 + b417) - 0.8*log(1 + x377/(1e-6 + b417)))*(1e-6 + b417) =L= 0; e561.. x378 =E= 0; e562.. x396 =E= 0; e563.. x302 - x377 - x378 =E= 0; e564.. x311 - x395 - x396 =E= 0; e565.. x377 - 1.6544851364539*b417 =L= 0; e566.. x378 + 1.6544851364539*b417 =L= 1.6544851364539; e567.. x395 - 0.781000570919175*b417 =L= 0; e568.. x396 + 0.781000570919175*b417 =L= 0.781000570919175; e569.. (x397/(1e-6 + b418) - 0.85*log(1 + x379/(1e-6 + b418)))*(1e-6 + b418) =L= 0; e570.. x380 =E= 0; e571.. x398 =E= 0; e572.. x303 - x379 - x380 =E= 0; e573.. x312 - x397 - x398 =E= 0; e574.. x379 - 1.6544851364539*b418 =L= 0; e575.. x380 + 1.6544851364539*b418 =L= 1.6544851364539; e576.. x397 - 0.829813106601623*b418 =L= 0; e577.. x398 + 0.829813106601623*b418 =L= 0.829813106601623; e578.. b399 + b400 =E= 1; e579.. - b401 + b404 + b405 =G= 0; e580.. - b404 + b410 =G= 0; e581.. - b405 + b411 =G= 0; e582.. - b402 + b406 =G= 0; e583.. - b406 + b412 + b413 =G= 0; e584.. - b403 + b407 + b408 + b409 =G= 0; e585.. - b407 + b413 =G= 0; e586.. - b408 + b414 + b415 =G= 0; e587.. - b409 + b416 + b417 + b418 =G= 0; e588.. b399 + b400 - b401 =G= 0; e589.. b399 + b400 - b402 =G= 0; e590.. b399 + b400 - b403 =G= 0; e591.. b401 - b404 =G= 0; e592.. b401 - b405 =G= 0; e593.. b402 - b406 =G= 0; e594.. b403 - b407 =G= 0; e595.. b403 - b408 =G= 0; e596.. b403 - b409 =G= 0; e597.. b404 - b410 =G= 0; e598.. b405 - b411 =G= 0; e599.. b406 - b412 =G= 0; e600.. b406 - b413 =G= 0; e601.. b408 - b414 =G= 0; e602.. b408 - b415 =G= 0; e603.. b409 - b416 =G= 0; e604.. b409 - b417 =G= 0; e605.. b409 - b418 =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