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Instance syn20m02hfsg
Selection of optimal configuration and parameters for a processing system selected from a superstructure containing alternative processing units and interconnections. Equivalent perspective reformulation of syn20m02.
Formatsⓘ | ams gms mod nl osil py |
Primal Bounds (infeas ≤ 1e-08)ⓘ | |
Other points (infeas > 1e-08)ⓘ | |
Dual Boundsⓘ | 1752.14661800 (ALPHAECP) 1752.30841600 (ANTIGONE) 1752.13334700 (BARON) 1752.13320300 (BONMIN) 1885.75244200 (COUENNE) 1752.13320300 (LINDO) 1752.13352800 (SCIP) 4882.87539300 (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. Kevin C. Furman, Nicolas W. Sawaya, Ignacio E. Grossmann, A computationally useful algebraic representation of nonlinear disjunctive convex sets using the perspective function, Tech. Rep., 2019. |
Applicationⓘ | Synthesis of processing system |
Added to libraryⓘ | 25 Sep 2019 |
Problem typeⓘ | MBNLP |
#Variablesⓘ | 382 |
#Binary Variablesⓘ | 80 |
#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ⓘ | 68 |
#Nonlinear Nonzeros in Objectiveⓘ | 0 |
#Constraintsⓘ | 606 |
#Linear Constraintsⓘ | 578 |
#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ⓘ | 1306 |
#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-03 |
Maximal coefficientⓘ | 4.0500e+02 |
Infeasibility of initial pointⓘ | 1 |
Sparsity Jacobianⓘ | |
Sparsity Hessian of Lagrangianⓘ |
$offlisting * * Equation counts * Total E G L N X C B * 607 253 54 300 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 383 303 80 0 0 0 0 0 * FX 0 * * Nonzero counts * Total const NL DLL * 1375 1291 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,x264,x265,x266,x267,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,b304,b305,b306,b307,b308,b309,b310 ,b311,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322,b323 ,b324,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335,b336 ,b337,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348,b349 ,b350,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361,b362 ,b363,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374,b375 ,b376,b377,b378,b379,b380,b381,b382,b383; Positive Variables 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,x264,x265,x266,x267,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; Binary Variables b304,b305,b306,b307,b308,b309,b310,b311,b312,b313,b314,b315 ,b316,b317,b318,b319,b320,b321,b322,b323,b324,b325,b326,b327,b328 ,b329,b330,b331,b332,b333,b334,b335,b336,b337,b338,b339,b340,b341 ,b342,b343,b344,b345,b346,b347,b348,b349,b350,b351,b352,b353,b354 ,b355,b356,b357,b358,b359,b360,b361,b362,b363,b364,b365,b366,b367 ,b368,b369,b370,b371,b372,b373,b374,b375,b376,b377,b378,b379,b380 ,b381,b382,b383; 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,e606,e607; e1.. objvar + x42 + x43 - 5*x54 - 10*x55 + 2*x64 + x65 + 10*x98 + 5*x99 + 5*x100 + 5*x101 - 80*x114 - 130*x115 - 110*x116 - 120*x117 - 110*x118 - 130*x119 - 80*x120 - 90*x121 - 285*x122 - 390*x123 - 290*x124 - 405*x125 - 280*x126 - 400*x127 - 290*x128 - 300*x129 - 350*x130 - 250*x131 + 5*b344 + 4*b345 + 8*b346 + 7*b347 + 6*b348 + 9*b349 + 10*b350 + 9*b351 + 6*b352 + 10*b353 + 7*b354 + 7*b355 + 4*b356 + 3*b357 + 5*b358 + 6*b359 + 2*b360 + 5*b361 + 4*b362 + 7*b363 + 3*b364 + 9*b365 + 7*b366 + 2*b367 + 3*b368 + b369 + 2*b370 + 6*b371 + 4*b372 + 8*b373 + 2*b374 + 5*b375 + 3*b376 + 4*b377 + 5*b378 + 7*b379 + 2*b380 + 8*b381 + b382 + 4*b383 =E= 0; e2.. x42 - x44 - x46 =E= 0; e3.. x43 - x45 - x47 =E= 0; e4.. - x48 - x50 + x52 =E= 0; e5.. - x49 - x51 + x53 =E= 0; e6.. x52 - x54 - x56 =E= 0; e7.. x53 - x55 - x57 =E= 0; e8.. x56 - x58 - x60 - x62 =E= 0; e9.. x57 - x59 - x61 - x63 =E= 0; e10.. x66 - x72 - x74 =E= 0; e11.. x67 - x73 - x75 =E= 0; e12.. x70 - x76 - x78 - x80 =E= 0; e13.. x71 - x77 - x79 - x81 =E= 0; e14.. x86 - x94 - x96 =E= 0; e15.. x87 - x95 - x97 =E= 0; e16.. - x88 - x100 + x102 =E= 0; e17.. - x89 - x101 + x103 =E= 0; e18.. x90 - x104 - x106 =E= 0; e19.. x91 - x105 - x107 =E= 0; e20.. x92 - x108 - x110 - x112 =E= 0; e21.. x93 - x109 - x111 - x113 =E= 0; e22.. (x140/(0.001 + 0.999*b304) - log(1 + x132/(0.001 + 0.999*b304)))*(0.001 + 0.999*b304) =L= 0; e23.. (x141/(0.001 + 0.999*b305) - log(1 + x133/(0.001 + 0.999*b305)))*(0.001 + 0.999*b305) =L= 0; e24.. x134 =E= 0; e25.. x135 =E= 0; e26.. x142 =E= 0; e27.. x143 =E= 0; e28.. x44 - x132 - x134 =E= 0; e29.. x45 - x133 - x135 =E= 0; e30.. x48 - x140 - x142 =E= 0; e31.. x49 - x141 - x143 =E= 0; e32.. x132 - 40*b304 =L= 0; e33.. x133 - 40*b305 =L= 0; e34.. x134 + 40*b304 =L= 40; e35.. x135 + 40*b305 =L= 40; e36.. x140 - 3.71357206670431*b304 =L= 0; e37.. x141 - 3.71357206670431*b305 =L= 0; e38.. x142 + 3.71357206670431*b304 =L= 3.71357206670431; e39.. x143 + 3.71357206670431*b305 =L= 3.71357206670431; e40.. (x144/(0.001 + 0.999*b306) - 1.2*log(1 + x136/(0.001 + 0.999*b306)))*( 0.001 + 0.999*b306) =L= 0; e41.. (x145/(0.001 + 0.999*b307) - 1.2*log(1 + x137/(0.001 + 0.999*b307)))*( 0.001 + 0.999*b307) =L= 0; e42.. x138 =E= 0; e43.. x139 =E= 0; e44.. x146 =E= 0; e45.. x147 =E= 0; e46.. x46 - x136 - x138 =E= 0; e47.. x47 - x137 - x139 =E= 0; e48.. x50 - x144 - x146 =E= 0; e49.. x51 - x145 - x147 =E= 0; e50.. x136 - 40*b306 =L= 0; e51.. x137 - 40*b307 =L= 0; e52.. x138 + 40*b306 =L= 40; e53.. x139 + 40*b307 =L= 40; e54.. x144 - 4.45628648004517*b306 =L= 0; e55.. x145 - 4.45628648004517*b307 =L= 0; e56.. x146 + 4.45628648004517*b306 =L= 4.45628648004517; e57.. x147 + 4.45628648004517*b307 =L= 4.45628648004517; e58.. - 0.75*x148 + x164 =E= 0; e59.. - 0.75*x149 + x165 =E= 0; e60.. x150 =E= 0; e61.. x151 =E= 0; e62.. x166 =E= 0; e63.. x167 =E= 0; e64.. x58 - x148 - x150 =E= 0; e65.. x59 - x149 - x151 =E= 0; e66.. x66 - x164 - x166 =E= 0; e67.. x67 - x165 - x167 =E= 0; e68.. x148 - 4.45628648004517*b308 =L= 0; e69.. x149 - 4.45628648004517*b309 =L= 0; e70.. x150 + 4.45628648004517*b308 =L= 4.45628648004517; e71.. x151 + 4.45628648004517*b309 =L= 4.45628648004517; e72.. x164 - 3.34221486003388*b308 =L= 0; e73.. x165 - 3.34221486003388*b309 =L= 0; e74.. x166 + 3.34221486003388*b308 =L= 3.34221486003388; e75.. x167 + 3.34221486003388*b309 =L= 3.34221486003388; e76.. (x168/(0.001 + 0.999*b310) - 1.5*log(1 + x152/(0.001 + 0.999*b310)))*( 0.001 + 0.999*b310) =L= 0; e77.. (x169/(0.001 + 0.999*b311) - 1.5*log(1 + x153/(0.001 + 0.999*b311)))*( 0.001 + 0.999*b311) =L= 0; e78.. x154 =E= 0; e79.. x155 =E= 0; e80.. x172 =E= 0; e81.. x173 =E= 0; e82.. x60 - x152 - x154 =E= 0; e83.. x61 - x153 - x155 =E= 0; e84.. x68 - x168 - x172 =E= 0; e85.. x69 - x169 - x173 =E= 0; e86.. x152 - 4.45628648004517*b310 =L= 0; e87.. x153 - 4.45628648004517*b311 =L= 0; e88.. x154 + 4.45628648004517*b310 =L= 4.45628648004517; e89.. x155 + 4.45628648004517*b311 =L= 4.45628648004517; e90.. x168 - 2.54515263975353*b310 =L= 0; e91.. x169 - 2.54515263975353*b311 =L= 0; e92.. x172 + 2.54515263975353*b310 =L= 2.54515263975353; e93.. x173 + 2.54515263975353*b311 =L= 2.54515263975353; e94.. - x156 + x176 =E= 0; e95.. - x157 + x177 =E= 0; e96.. - 0.5*x160 + x176 =E= 0; e97.. - 0.5*x161 + x177 =E= 0; e98.. x158 =E= 0; e99.. x159 =E= 0; e100.. x162 =E= 0; e101.. x163 =E= 0; e102.. x178 =E= 0; e103.. x179 =E= 0; e104.. x62 - x156 - x158 =E= 0; e105.. x63 - x157 - x159 =E= 0; e106.. x64 - x160 - x162 =E= 0; e107.. x65 - x161 - x163 =E= 0; e108.. x70 - x176 - x178 =E= 0; e109.. x71 - x177 - x179 =E= 0; e110.. x156 - 4.45628648004517*b312 =L= 0; e111.. x157 - 4.45628648004517*b313 =L= 0; e112.. x158 + 4.45628648004517*b312 =L= 4.45628648004517; e113.. x159 + 4.45628648004517*b313 =L= 4.45628648004517; e114.. x160 - 30*b312 =L= 0; e115.. x161 - 30*b313 =L= 0; e116.. x162 + 30*b312 =L= 30; e117.. x163 + 30*b313 =L= 30; e118.. x176 - 15*b312 =L= 0; e119.. x177 - 15*b313 =L= 0; e120.. x178 + 15*b312 =L= 15; e121.. x179 + 15*b313 =L= 15; e122.. (x200/(0.001 + 0.999*b314) - 1.25*log(1 + x180/(0.001 + 0.999*b314)))*( 0.001 + 0.999*b314) =L= 0; e123.. (x201/(0.001 + 0.999*b315) - 1.25*log(1 + x181/(0.001 + 0.999*b315)))*( 0.001 + 0.999*b315) =L= 0; e124.. x182 =E= 0; e125.. x183 =E= 0; e126.. x204 =E= 0; e127.. x205 =E= 0; e128.. x72 - x180 - x182 =E= 0; e129.. x73 - x181 - x183 =E= 0; e130.. x82 - x200 - x204 =E= 0; e131.. x83 - x201 - x205 =E= 0; e132.. x180 - 3.34221486003388*b314 =L= 0; e133.. x181 - 3.34221486003388*b315 =L= 0; e134.. x182 + 3.34221486003388*b314 =L= 3.34221486003388; e135.. x183 + 3.34221486003388*b315 =L= 3.34221486003388; e136.. x200 - 1.83548069293539*b314 =L= 0; e137.. x201 - 1.83548069293539*b315 =L= 0; e138.. x204 + 1.83548069293539*b314 =L= 1.83548069293539; e139.. x205 + 1.83548069293539*b315 =L= 1.83548069293539; e140.. (x208/(0.001 + 0.999*b316) - 0.9*log(1 + x184/(0.001 + 0.999*b316)))*( 0.001 + 0.999*b316) =L= 0; e141.. (x209/(0.001 + 0.999*b317) - 0.9*log(1 + x185/(0.001 + 0.999*b317)))*( 0.001 + 0.999*b317) =L= 0; e142.. x186 =E= 0; e143.. x187 =E= 0; e144.. x212 =E= 0; e145.. x213 =E= 0; e146.. x74 - x184 - x186 =E= 0; e147.. x75 - x185 - x187 =E= 0; e148.. x84 - x208 - x212 =E= 0; e149.. x85 - x209 - x213 =E= 0; e150.. x184 - 3.34221486003388*b316 =L= 0; e151.. x185 - 3.34221486003388*b317 =L= 0; e152.. x186 + 3.34221486003388*b316 =L= 3.34221486003388; e153.. x187 + 3.34221486003388*b317 =L= 3.34221486003388; e154.. x208 - 1.32154609891348*b316 =L= 0; e155.. x209 - 1.32154609891348*b317 =L= 0; e156.. x212 + 1.32154609891348*b316 =L= 1.32154609891348; e157.. x213 + 1.32154609891348*b317 =L= 1.32154609891348; e158.. (x216/(0.001 + 0.999*b318) - log(1 + x170/(0.001 + 0.999*b318)))*(0.001 + 0.999*b318) =L= 0; e159.. (x217/(0.001 + 0.999*b319) - log(1 + x171/(0.001 + 0.999*b319)))*(0.001 + 0.999*b319) =L= 0; e160.. x174 =E= 0; e161.. x175 =E= 0; e162.. x218 =E= 0; e163.. x219 =E= 0; e164.. x68 - x170 - x174 =E= 0; e165.. x69 - x171 - x175 =E= 0; e166.. x86 - x216 - x218 =E= 0; e167.. x87 - x217 - x219 =E= 0; e168.. x170 - 2.54515263975353*b318 =L= 0; e169.. x171 - 2.54515263975353*b319 =L= 0; e170.. x174 + 2.54515263975353*b318 =L= 2.54515263975353; e171.. x175 + 2.54515263975353*b319 =L= 2.54515263975353; e172.. x216 - 1.26558121681553*b318 =L= 0; e173.. x217 - 1.26558121681553*b319 =L= 0; e174.. x218 + 1.26558121681553*b318 =L= 1.26558121681553; e175.. x219 + 1.26558121681553*b319 =L= 1.26558121681553; e176.. - 0.9*x188 + x220 =E= 0; e177.. - 0.9*x189 + x221 =E= 0; e178.. x190 =E= 0; e179.. x191 =E= 0; e180.. x222 =E= 0; e181.. x223 =E= 0; e182.. x76 - x188 - x190 =E= 0; e183.. x77 - x189 - x191 =E= 0; e184.. x88 - x220 - x222 =E= 0; e185.. x89 - x221 - x223 =E= 0; e186.. x188 - 15*b320 =L= 0; e187.. x189 - 15*b321 =L= 0; e188.. x190 + 15*b320 =L= 15; e189.. x191 + 15*b321 =L= 15; e190.. x220 - 13.5*b320 =L= 0; e191.. x221 - 13.5*b321 =L= 0; e192.. x222 + 13.5*b320 =L= 13.5; e193.. x223 + 13.5*b321 =L= 13.5; e194.. - 0.6*x192 + x224 =E= 0; e195.. - 0.6*x193 + x225 =E= 0; e196.. x194 =E= 0; e197.. x195 =E= 0; e198.. x226 =E= 0; e199.. x227 =E= 0; e200.. x78 - x192 - x194 =E= 0; e201.. x79 - x193 - x195 =E= 0; e202.. x90 - x224 - x226 =E= 0; e203.. x91 - x225 - x227 =E= 0; e204.. x192 - 15*b322 =L= 0; e205.. x193 - 15*b323 =L= 0; e206.. x194 + 15*b322 =L= 15; e207.. x195 + 15*b323 =L= 15; e208.. x224 - 9*b322 =L= 0; e209.. x225 - 9*b323 =L= 0; e210.. x226 + 9*b322 =L= 9; e211.. x227 + 9*b323 =L= 9; e212.. (x228/(0.001 + 0.999*b324) - 1.1*log(1 + x196/(0.001 + 0.999*b324)))*( 0.001 + 0.999*b324) =L= 0; e213.. (x229/(0.001 + 0.999*b325) - 1.1*log(1 + x197/(0.001 + 0.999*b325)))*( 0.001 + 0.999*b325) =L= 0; e214.. x198 =E= 0; e215.. x199 =E= 0; e216.. x230 =E= 0; e217.. x231 =E= 0; e218.. x80 - x196 - x198 =E= 0; e219.. x81 - x197 - x199 =E= 0; e220.. x92 - x228 - x230 =E= 0; e221.. x93 - x229 - x231 =E= 0; e222.. x196 - 15*b324 =L= 0; e223.. x197 - 15*b325 =L= 0; e224.. x198 + 15*b324 =L= 15; e225.. x199 + 15*b325 =L= 15; e226.. x228 - 3.04984759446376*b324 =L= 0; e227.. x229 - 3.04984759446376*b325 =L= 0; e228.. x230 + 3.04984759446376*b324 =L= 3.04984759446376; e229.. x231 + 3.04984759446376*b325 =L= 3.04984759446376; e230.. - 0.9*x202 + x268 =E= 0; e231.. - 0.9*x203 + x269 =E= 0; e232.. - x240 + x268 =E= 0; e233.. - x241 + x269 =E= 0; e234.. x206 =E= 0; e235.. x207 =E= 0; e236.. x242 =E= 0; e237.. x243 =E= 0; e238.. x270 =E= 0; e239.. x271 =E= 0; e240.. x82 - x202 - x206 =E= 0; e241.. x83 - x203 - x207 =E= 0; e242.. x98 - x240 - x242 =E= 0; e243.. x99 - x241 - x243 =E= 0; e244.. x114 - x268 - x270 =E= 0; e245.. x115 - x269 - x271 =E= 0; e246.. x202 - 1.83548069293539*b326 =L= 0; e247.. x203 - 1.83548069293539*b327 =L= 0; e248.. x206 + 1.83548069293539*b326 =L= 1.83548069293539; e249.. x207 + 1.83548069293539*b327 =L= 1.83548069293539; e250.. x240 - 20*b326 =L= 0; e251.. x241 - 20*b327 =L= 0; e252.. x242 + 20*b326 =L= 20; e253.. x243 + 20*b327 =L= 20; e254.. x268 - 20*b326 =L= 0; e255.. x269 - 20*b327 =L= 0; e256.. x270 + 20*b326 =L= 20; e257.. x271 + 20*b327 =L= 20; e258.. (x272/(0.001 + 0.999*b328) - log(1 + x210/(0.001 + 0.999*b328)))*(0.001 + 0.999*b328) =L= 0; e259.. (x273/(0.001 + 0.999*b329) - log(1 + x211/(0.001 + 0.999*b329)))*(0.001 + 0.999*b329) =L= 0; e260.. x214 =E= 0; e261.. x215 =E= 0; e262.. x274 =E= 0; e263.. x275 =E= 0; e264.. x84 - x210 - x214 =E= 0; e265.. x85 - x211 - x215 =E= 0; e266.. x116 - x272 - x274 =E= 0; e267.. x117 - x273 - x275 =E= 0; e268.. x210 - 1.32154609891348*b328 =L= 0; e269.. x211 - 1.32154609891348*b329 =L= 0; e270.. x214 + 1.32154609891348*b328 =L= 1.32154609891348; e271.. x215 + 1.32154609891348*b329 =L= 1.32154609891348; e272.. x272 - 0.842233385663186*b328 =L= 0; e273.. x273 - 0.842233385663186*b329 =L= 0; e274.. x274 + 0.842233385663186*b328 =L= 0.842233385663186; e275.. x275 + 0.842233385663186*b329 =L= 0.842233385663186; e276.. (x276/(0.001 + 0.999*b330) - 0.7*log(1 + x232/(0.001 + 0.999*b330)))*( 0.001 + 0.999*b330) =L= 0; e277.. (x277/(0.001 + 0.999*b331) - 0.7*log(1 + x233/(0.001 + 0.999*b331)))*( 0.001 + 0.999*b331) =L= 0; e278.. x234 =E= 0; e279.. x235 =E= 0; e280.. x278 =E= 0; e281.. x279 =E= 0; e282.. x94 - x232 - x234 =E= 0; e283.. x95 - x233 - x235 =E= 0; e284.. x118 - x276 - x278 =E= 0; e285.. x119 - x277 - x279 =E= 0; e286.. x232 - 1.26558121681553*b330 =L= 0; e287.. x233 - 1.26558121681553*b331 =L= 0; e288.. x234 + 1.26558121681553*b330 =L= 1.26558121681553; e289.. x235 + 1.26558121681553*b331 =L= 1.26558121681553; e290.. x276 - 0.572481933717686*b330 =L= 0; e291.. x277 - 0.572481933717686*b331 =L= 0; e292.. x278 + 0.572481933717686*b330 =L= 0.572481933717686; e293.. x279 + 0.572481933717686*b331 =L= 0.572481933717686; e294.. (x280/(0.001 + 0.999*b332) - 0.65*log(1 + x236/(0.001 + 0.999*b332)))*( 0.001 + 0.999*b332) =L= 0; e295.. (x281/(0.001 + 0.999*b333) - 0.65*log(1 + x237/(0.001 + 0.999*b333)))*( 0.001 + 0.999*b333) =L= 0; e296.. (x280/(0.001 + 0.999*b332) - 0.65*log(1 + x244/(0.001 + 0.999*b332)))*( 0.001 + 0.999*b332) =L= 0; e297.. (x281/(0.001 + 0.999*b333) - 0.65*log(1 + x245/(0.001 + 0.999*b333)))*( 0.001 + 0.999*b333) =L= 0; e298.. x238 =E= 0; e299.. x239 =E= 0; e300.. x246 =E= 0; e301.. x247 =E= 0; e302.. x282 =E= 0; e303.. x283 =E= 0; e304.. x96 - x236 - x238 =E= 0; e305.. x97 - x237 - x239 =E= 0; e306.. x102 - x244 - x246 =E= 0; e307.. x103 - x245 - x247 =E= 0; e308.. x120 - x280 - x282 =E= 0; e309.. x121 - x281 - x283 =E= 0; e310.. x236 - 1.26558121681553*b332 =L= 0; e311.. x237 - 1.26558121681553*b333 =L= 0; e312.. x238 + 1.26558121681553*b332 =L= 1.26558121681553; e313.. x239 + 1.26558121681553*b333 =L= 1.26558121681553; e314.. x244 - 33.5*b332 =L= 0; e315.. x245 - 33.5*b333 =L= 0; e316.. x246 + 33.5*b332 =L= 33.5; e317.. x247 + 33.5*b333 =L= 33.5; e318.. x280 - 2.30162356062425*b332 =L= 0; e319.. x281 - 2.30162356062425*b333 =L= 0; e320.. x282 + 2.30162356062425*b332 =L= 2.30162356062425; e321.. x283 + 2.30162356062425*b333 =L= 2.30162356062425; e322.. - x248 + x284 =E= 0; e323.. - x249 + x285 =E= 0; e324.. x250 =E= 0; e325.. x251 =E= 0; e326.. x286 =E= 0; e327.. x287 =E= 0; e328.. x104 - x248 - x250 =E= 0; e329.. x105 - x249 - x251 =E= 0; e330.. x122 - x284 - x286 =E= 0; e331.. x123 - x285 - x287 =E= 0; e332.. x248 - 9*b334 =L= 0; e333.. x249 - 9*b335 =L= 0; e334.. x250 + 9*b334 =L= 9; e335.. x251 + 9*b335 =L= 9; e336.. x284 - 9*b334 =L= 0; e337.. x285 - 9*b335 =L= 0; e338.. x286 + 9*b334 =L= 9; e339.. x287 + 9*b335 =L= 9; e340.. - x252 + x288 =E= 0; e341.. - x253 + x289 =E= 0; e342.. x254 =E= 0; e343.. x255 =E= 0; e344.. x290 =E= 0; e345.. x291 =E= 0; e346.. x106 - x252 - x254 =E= 0; e347.. x107 - x253 - x255 =E= 0; e348.. x124 - x288 - x290 =E= 0; e349.. x125 - x289 - x291 =E= 0; e350.. x252 - 9*b336 =L= 0; e351.. x253 - 9*b337 =L= 0; e352.. x254 + 9*b336 =L= 9; e353.. x255 + 9*b337 =L= 9; e354.. x288 - 9*b336 =L= 0; e355.. x289 - 9*b337 =L= 0; e356.. x290 + 9*b336 =L= 9; e357.. x291 + 9*b337 =L= 9; e358.. (x292/(0.001 + 0.999*b338) - 0.75*log(1 + x256/(0.001 + 0.999*b338)))*( 0.001 + 0.999*b338) =L= 0; e359.. (x293/(0.001 + 0.999*b339) - 0.75*log(1 + x257/(0.001 + 0.999*b339)))*( 0.001 + 0.999*b339) =L= 0; e360.. x258 =E= 0; e361.. x259 =E= 0; e362.. x294 =E= 0; e363.. x295 =E= 0; e364.. x108 - x256 - x258 =E= 0; e365.. x109 - x257 - x259 =E= 0; e366.. x126 - x292 - x294 =E= 0; e367.. x127 - x293 - x295 =E= 0; e368.. x256 - 3.04984759446376*b338 =L= 0; e369.. x257 - 3.04984759446376*b339 =L= 0; e370.. x258 + 3.04984759446376*b338 =L= 3.04984759446376; e371.. x259 + 3.04984759446376*b339 =L= 3.04984759446376; e372.. x292 - 1.04900943706034*b338 =L= 0; e373.. x293 - 1.04900943706034*b339 =L= 0; e374.. x294 + 1.04900943706034*b338 =L= 1.04900943706034; e375.. x295 + 1.04900943706034*b339 =L= 1.04900943706034; e376.. (x296/(0.001 + 0.999*b340) - 0.8*log(1 + x260/(0.001 + 0.999*b340)))*( 0.001 + 0.999*b340) =L= 0; e377.. (x297/(0.001 + 0.999*b341) - 0.8*log(1 + x261/(0.001 + 0.999*b341)))*( 0.001 + 0.999*b341) =L= 0; e378.. x262 =E= 0; e379.. x263 =E= 0; e380.. x298 =E= 0; e381.. x299 =E= 0; e382.. x110 - x260 - x262 =E= 0; e383.. x111 - x261 - x263 =E= 0; e384.. x128 - x296 - x298 =E= 0; e385.. x129 - x297 - x299 =E= 0; e386.. x260 - 3.04984759446376*b340 =L= 0; e387.. x261 - 3.04984759446376*b341 =L= 0; e388.. x262 + 3.04984759446376*b340 =L= 3.04984759446376; e389.. x263 + 3.04984759446376*b341 =L= 3.04984759446376; e390.. x296 - 1.11894339953103*b340 =L= 0; e391.. x297 - 1.11894339953103*b341 =L= 0; e392.. x298 + 1.11894339953103*b340 =L= 1.11894339953103; e393.. x299 + 1.11894339953103*b341 =L= 1.11894339953103; e394.. (x300/(0.001 + 0.999*b342) - 0.85*log(1 + x264/(0.001 + 0.999*b342)))*( 0.001 + 0.999*b342) =L= 0; e395.. (x301/(0.001 + 0.999*b343) - 0.85*log(1 + x265/(0.001 + 0.999*b343)))*( 0.001 + 0.999*b343) =L= 0; e396.. x266 =E= 0; e397.. x267 =E= 0; e398.. x302 =E= 0; e399.. x303 =E= 0; e400.. x112 - x264 - x266 =E= 0; e401.. x113 - x265 - x267 =E= 0; e402.. x130 - x300 - x302 =E= 0; e403.. x131 - x301 - x303 =E= 0; e404.. x264 - 3.04984759446376*b342 =L= 0; e405.. x265 - 3.04984759446376*b343 =L= 0; e406.. x266 + 3.04984759446376*b342 =L= 3.04984759446376; e407.. x267 + 3.04984759446376*b343 =L= 3.04984759446376; e408.. x300 - 1.18887736200171*b342 =L= 0; e409.. x301 - 1.18887736200171*b343 =L= 0; e410.. x302 + 1.18887736200171*b342 =L= 1.18887736200171; e411.. x303 + 1.18887736200171*b343 =L= 1.18887736200171; e412.. x2 + 5*b344 =E= 0; e413.. x3 + 4*b345 =E= 0; e414.. x4 + 8*b346 =E= 0; e415.. x5 + 7*b347 =E= 0; e416.. x6 + 6*b348 =E= 0; e417.. x7 + 9*b349 =E= 0; e418.. x8 + 10*b350 =E= 0; e419.. x9 + 9*b351 =E= 0; e420.. x10 + 6*b352 =E= 0; e421.. x11 + 10*b353 =E= 0; e422.. x12 + 7*b354 =E= 0; e423.. x13 + 7*b355 =E= 0; e424.. x14 + 4*b356 =E= 0; e425.. x15 + 3*b357 =E= 0; e426.. x16 + 5*b358 =E= 0; e427.. x17 + 6*b359 =E= 0; e428.. x18 + 2*b360 =E= 0; e429.. x19 + 5*b361 =E= 0; e430.. x20 + 4*b362 =E= 0; e431.. x21 + 7*b363 =E= 0; e432.. x22 + 3*b364 =E= 0; e433.. x23 + 9*b365 =E= 0; e434.. x24 + 7*b366 =E= 0; e435.. x25 + 2*b367 =E= 0; e436.. x26 + 3*b368 =E= 0; e437.. x27 + b369 =E= 0; e438.. x28 + 2*b370 =E= 0; e439.. x29 + 6*b371 =E= 0; e440.. x30 + 4*b372 =E= 0; e441.. x31 + 8*b373 =E= 0; e442.. x32 + 2*b374 =E= 0; e443.. x33 + 5*b375 =E= 0; e444.. x34 + 3*b376 =E= 0; e445.. x35 + 4*b377 =E= 0; e446.. x36 + 5*b378 =E= 0; e447.. x37 + 7*b379 =E= 0; e448.. x38 + 2*b380 =E= 0; e449.. x39 + 8*b381 =E= 0; e450.. x40 + b382 =E= 0; e451.. x41 + 4*b383 =E= 0; e452.. b304 - b305 =L= 0; e453.. b306 - b307 =L= 0; e454.. b308 - b309 =L= 0; e455.. b310 - b311 =L= 0; e456.. b312 - b313 =L= 0; e457.. b314 - b315 =L= 0; e458.. b316 - b317 =L= 0; e459.. b318 - b319 =L= 0; e460.. b320 - b321 =L= 0; e461.. b322 - b323 =L= 0; e462.. b324 - b325 =L= 0; e463.. b326 - b327 =L= 0; e464.. b328 - b329 =L= 0; e465.. b330 - b331 =L= 0; e466.. b332 - b333 =L= 0; e467.. b334 - b335 =L= 0; e468.. b336 - b337 =L= 0; e469.. b338 - b339 =L= 0; e470.. b340 - b341 =L= 0; e471.. b342 - b343 =L= 0; e472.. b344 + b345 =L= 1; e473.. b344 + b345 =L= 1; e474.. b346 + b347 =L= 1; e475.. b346 + b347 =L= 1; e476.. b348 + b349 =L= 1; e477.. b348 + b349 =L= 1; e478.. b350 + b351 =L= 1; e479.. b350 + b351 =L= 1; e480.. b352 + b353 =L= 1; e481.. b352 + b353 =L= 1; e482.. b354 + b355 =L= 1; e483.. b354 + b355 =L= 1; e484.. b356 + b357 =L= 1; e485.. b356 + b357 =L= 1; e486.. b358 + b359 =L= 1; e487.. b358 + b359 =L= 1; e488.. b360 + b361 =L= 1; e489.. b360 + b361 =L= 1; e490.. b362 + b363 =L= 1; e491.. b362 + b363 =L= 1; e492.. b364 + b365 =L= 1; e493.. b364 + b365 =L= 1; e494.. b366 + b367 =L= 1; e495.. b366 + b367 =L= 1; e496.. b368 + b369 =L= 1; e497.. b368 + b369 =L= 1; e498.. b370 + b371 =L= 1; e499.. b370 + b371 =L= 1; e500.. b372 + b373 =L= 1; e501.. b372 + b373 =L= 1; e502.. b374 + b375 =L= 1; e503.. b374 + b375 =L= 1; e504.. b376 + b377 =L= 1; e505.. b376 + b377 =L= 1; e506.. b378 + b379 =L= 1; e507.. b378 + b379 =L= 1; e508.. b380 + b381 =L= 1; e509.. b380 + b381 =L= 1; e510.. b382 + b383 =L= 1; e511.. b382 + b383 =L= 1; e512.. b304 - b344 =L= 0; e513.. - b304 + b305 - b345 =L= 0; e514.. b306 - b346 =L= 0; e515.. - b306 + b307 - b347 =L= 0; e516.. b308 - b348 =L= 0; e517.. - b308 + b309 - b349 =L= 0; e518.. b310 - b350 =L= 0; e519.. - b310 + b311 - b351 =L= 0; e520.. b312 - b352 =L= 0; e521.. - b312 + b313 - b353 =L= 0; e522.. b314 - b354 =L= 0; e523.. - b314 + b315 - b355 =L= 0; e524.. b316 - b356 =L= 0; e525.. - b316 + b317 - b357 =L= 0; e526.. b318 - b358 =L= 0; e527.. - b318 + b319 - b359 =L= 0; e528.. b320 - b360 =L= 0; e529.. - b320 + b321 - b361 =L= 0; e530.. b322 - b362 =L= 0; e531.. - b322 + b323 - b363 =L= 0; e532.. b324 - b364 =L= 0; e533.. - b324 + b325 - b365 =L= 0; e534.. b326 - b366 =L= 0; e535.. - b326 + b327 - b367 =L= 0; e536.. b328 - b368 =L= 0; e537.. - b328 + b329 - b369 =L= 0; e538.. b330 - b370 =L= 0; e539.. - b330 + b331 - b371 =L= 0; e540.. b332 - b372 =L= 0; e541.. - b332 + b333 - b373 =L= 0; e542.. b334 - b374 =L= 0; e543.. - b334 + b335 - b375 =L= 0; e544.. b336 - b376 =L= 0; e545.. - b336 + b337 - b377 =L= 0; e546.. b338 - b378 =L= 0; e547.. - b338 + b339 - b379 =L= 0; e548.. b340 - b380 =L= 0; e549.. - b340 + b341 - b381 =L= 0; e550.. b342 - b382 =L= 0; e551.. - b342 + b343 - b383 =L= 0; e552.. b304 + b306 =E= 1; e553.. b305 + b307 =E= 1; e554.. - b308 + b314 + b316 =G= 0; e555.. - b309 + b315 + b317 =G= 0; e556.. - b314 + b326 =G= 0; e557.. - b315 + b327 =G= 0; e558.. - b316 + b328 =G= 0; e559.. - b317 + b329 =G= 0; e560.. - b310 + b318 =G= 0; e561.. - b311 + b319 =G= 0; e562.. - b318 + b330 + b332 =G= 0; e563.. - b319 + b331 + b333 =G= 0; e564.. - b312 + b320 + b322 + b324 =G= 0; e565.. - b313 + b321 + b323 + b325 =G= 0; e566.. - b320 + b332 =G= 0; e567.. - b321 + b333 =G= 0; e568.. - b322 + b334 + b336 =G= 0; e569.. - b323 + b335 + b337 =G= 0; e570.. - b324 + b338 + b340 + b342 =G= 0; e571.. - b325 + b339 + b341 + b343 =G= 0; e572.. b304 + b306 - b308 =G= 0; e573.. b305 + b307 - b309 =G= 0; e574.. b304 + b306 - b310 =G= 0; e575.. b305 + b307 - b311 =G= 0; e576.. b304 + b306 - b312 =G= 0; e577.. b305 + b307 - b313 =G= 0; e578.. b308 - b314 =G= 0; e579.. b309 - b315 =G= 0; e580.. b308 - b316 =G= 0; e581.. b309 - b317 =G= 0; e582.. b310 - b318 =G= 0; e583.. b311 - b319 =G= 0; e584.. b312 - b320 =G= 0; e585.. b313 - b321 =G= 0; e586.. b312 - b322 =G= 0; e587.. b313 - b323 =G= 0; e588.. b312 - b324 =G= 0; e589.. b313 - b325 =G= 0; e590.. b314 - b326 =G= 0; e591.. b315 - b327 =G= 0; e592.. b316 - b328 =G= 0; e593.. b317 - b329 =G= 0; e594.. b318 - b330 =G= 0; e595.. b319 - b331 =G= 0; e596.. b318 - b332 =G= 0; e597.. b319 - b333 =G= 0; e598.. b322 - b334 =G= 0; e599.. b323 - b335 =G= 0; e600.. b322 - b336 =G= 0; e601.. b323 - b337 =G= 0; e602.. b324 - b338 =G= 0; e603.. b325 - b339 =G= 0; e604.. b324 - b340 =G= 0; e605.. b325 - b341 =G= 0; e606.. b324 - b342 =G= 0; e607.. b325 - b343 =G= 0; * set non-default bounds x42.up = 40; x43.up = 40; x64.up = 30; x65.up = 30; x98.up = 20; x99.up = 20; x100.up = 20; x101.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: 2024-08-26 Git hash: 6cc1607f