MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
Home // Instances // Documentation // Download // Statistics
Instance syn20m02m
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ⓘ | 1752.31000000 (ALPHAECP) 1752.13359600 (ANTIGONE) 1752.13328800 (BARON) 1752.13320300 (BONMIN) 1752.13324100 (COUENNE) 1752.13320700 (LINDO) 1752.13335600 (SCIP) 1752.13377600 (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ⓘ | Syn20M02M.gms from CMU-IBM MINLP solver project page |
| Applicationⓘ | Synthesis of processing system |
| Added to libraryⓘ | 28 Sep 2013 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 210 |
| #Binary Variablesⓘ | 80 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 28 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | max |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 68 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 406 |
| #Linear Constraintsⓘ | 378 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 28 |
| Operands in Gen. Nonlin. Functionsⓘ | log |
| Constraints curvatureⓘ | convex |
| #Nonzeros in Jacobianⓘ | 942 |
| #Nonlinear Nonzeros in Jacobianⓘ | 28 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 28 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 28 |
| #Blocks in Hessian of Lagrangianⓘ | 28 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 1 |
| Average blocksize in Hessian of Lagrangianⓘ | 1.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 5.0000e-01 |
| 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
* 407 23 112 272 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 211 131 80 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1011 983 28 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,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102
,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115
,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128
,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141
,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154
,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167
,b168,b169,b170,b171,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;
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;
Binary Variables b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102,b103,b104
,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115,b116,b117
,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128,b129,b130
,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141,b142,b143
,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154,b155,b156
,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167,b168,b169
,b170,b171;
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;
e1.. objvar + x2 + x3 - 5*x14 - 10*x15 + 2*x24 + x25 + 10*x58 + 5*x59
+ 5*x60 + 5*x61 - 80*x74 - 130*x75 - 110*x76 - 120*x77 - 110*x78
- 130*x79 - 80*x80 - 90*x81 - 285*x82 - 390*x83 - 290*x84 - 405*x85
- 280*x86 - 400*x87 - 290*x88 - 300*x89 - 350*x90 - 250*x91 + 5*b132
+ 4*b133 + 8*b134 + 7*b135 + 6*b136 + 9*b137 + 10*b138 + 9*b139 + 6*b140
+ 10*b141 + 7*b142 + 7*b143 + 4*b144 + 3*b145 + 5*b146 + 6*b147 + 2*b148
+ 5*b149 + 4*b150 + 7*b151 + 3*b152 + 9*b153 + 7*b154 + 2*b155 + 3*b156
+ b157 + 2*b158 + 6*b159 + 4*b160 + 8*b161 + 2*b162 + 5*b163 + 3*b164
+ 4*b165 + 5*b166 + 7*b167 + 2*b168 + 8*b169 + b170 + 4*b171 =E= 0;
e2.. x2 - x4 - x6 =E= 0;
e3.. x3 - x5 - x7 =E= 0;
e4.. - x8 - x10 + x12 =E= 0;
e5.. - x9 - x11 + x13 =E= 0;
e6.. x12 - x14 - x16 =E= 0;
e7.. x13 - x15 - x17 =E= 0;
e8.. x16 - x18 - x20 - x22 =E= 0;
e9.. x17 - x19 - x21 - x23 =E= 0;
e10.. x26 - x32 - x34 =E= 0;
e11.. x27 - x33 - x35 =E= 0;
e12.. x30 - x36 - x38 - x40 =E= 0;
e13.. x31 - x37 - x39 - x41 =E= 0;
e14.. x46 - x54 - x56 =E= 0;
e15.. x47 - x55 - x57 =E= 0;
e16.. - x48 - x60 + x62 =E= 0;
e17.. - x49 - x61 + x63 =E= 0;
e18.. x50 - x64 - x66 =E= 0;
e19.. x51 - x65 - x67 =E= 0;
e20.. x52 - x68 - x70 - x72 =E= 0;
e21.. x53 - x69 - x71 - x73 =E= 0;
e22.. -log(1 + x4) + x8 + b92 =L= 1;
e23.. -log(1 + x5) + x9 + b93 =L= 1;
e24.. x4 - 40*b92 =L= 0;
e25.. x5 - 40*b93 =L= 0;
e26.. x8 - 3.71357206670431*b92 =L= 0;
e27.. x9 - 3.71357206670431*b93 =L= 0;
e28.. -1.2*log(1 + x6) + x10 + b94 =L= 1;
e29.. -1.2*log(1 + x7) + x11 + b95 =L= 1;
e30.. x6 - 40*b94 =L= 0;
e31.. x7 - 40*b95 =L= 0;
e32.. x10 - 4.45628648004517*b94 =L= 0;
e33.. x11 - 4.45628648004517*b95 =L= 0;
e34.. - 0.75*x18 + x26 + b96 =L= 1;
e35.. - 0.75*x19 + x27 + b97 =L= 1;
e36.. - 0.75*x18 + x26 - b96 =G= -1;
e37.. - 0.75*x19 + x27 - b97 =G= -1;
e38.. x18 - 4.45628648004517*b96 =L= 0;
e39.. x19 - 4.45628648004517*b97 =L= 0;
e40.. x26 - 3.34221486003388*b96 =L= 0;
e41.. x27 - 3.34221486003388*b97 =L= 0;
e42.. -1.5*log(1 + x20) + x28 + b98 =L= 1;
e43.. -1.5*log(1 + x21) + x29 + b99 =L= 1;
e44.. x20 - 4.45628648004517*b98 =L= 0;
e45.. x21 - 4.45628648004517*b99 =L= 0;
e46.. x28 - 2.54515263975353*b98 =L= 0;
e47.. x29 - 2.54515263975353*b99 =L= 0;
e48.. - x22 + x30 + b100 =L= 1;
e49.. - x23 + x31 + b101 =L= 1;
e50.. - x22 + x30 - b100 =G= -1;
e51.. - x23 + x31 - b101 =G= -1;
e52.. - 0.5*x24 + x30 + b100 =L= 1;
e53.. - 0.5*x25 + x31 + b101 =L= 1;
e54.. - 0.5*x24 + x30 - b100 =G= -1;
e55.. - 0.5*x25 + x31 - b101 =G= -1;
e56.. x22 - 4.45628648004517*b100 =L= 0;
e57.. x23 - 4.45628648004517*b101 =L= 0;
e58.. x24 - 30*b100 =L= 0;
e59.. x25 - 30*b101 =L= 0;
e60.. x30 - 15*b100 =L= 0;
e61.. x31 - 15*b101 =L= 0;
e62.. -1.25*log(1 + x32) + x42 + b102 =L= 1;
e63.. -1.25*log(1 + x33) + x43 + b103 =L= 1;
e64.. x32 - 3.34221486003388*b102 =L= 0;
e65.. x33 - 3.34221486003388*b103 =L= 0;
e66.. x42 - 1.83548069293539*b102 =L= 0;
e67.. x43 - 1.83548069293539*b103 =L= 0;
e68.. -0.9*log(1 + x34) + x44 + b104 =L= 1;
e69.. -0.9*log(1 + x35) + x45 + b105 =L= 1;
e70.. x34 - 3.34221486003388*b104 =L= 0;
e71.. x35 - 3.34221486003388*b105 =L= 0;
e72.. x44 - 1.32154609891348*b104 =L= 0;
e73.. x45 - 1.32154609891348*b105 =L= 0;
e74.. -log(1 + x28) + x46 + b106 =L= 1;
e75.. -log(1 + x29) + x47 + b107 =L= 1;
e76.. x28 - 2.54515263975353*b106 =L= 0;
e77.. x29 - 2.54515263975353*b107 =L= 0;
e78.. x46 - 1.26558121681553*b106 =L= 0;
e79.. x47 - 1.26558121681553*b107 =L= 0;
e80.. - 0.9*x36 + x48 + b108 =L= 1;
e81.. - 0.9*x37 + x49 + b109 =L= 1;
e82.. - 0.9*x36 + x48 - b108 =G= -1;
e83.. - 0.9*x37 + x49 - b109 =G= -1;
e84.. x36 - 15*b108 =L= 0;
e85.. x37 - 15*b109 =L= 0;
e86.. x48 - 13.5*b108 =L= 0;
e87.. x49 - 13.5*b109 =L= 0;
e88.. - 0.6*x38 + x50 + b110 =L= 1;
e89.. - 0.6*x39 + x51 + b111 =L= 1;
e90.. - 0.6*x38 + x50 - b110 =G= -1;
e91.. - 0.6*x39 + x51 - b111 =G= -1;
e92.. x38 - 15*b110 =L= 0;
e93.. x39 - 15*b111 =L= 0;
e94.. x50 - 9*b110 =L= 0;
e95.. x51 - 9*b111 =L= 0;
e96.. -1.1*log(1 + x40) + x52 + b112 =L= 1;
e97.. -1.1*log(1 + x41) + x53 + b113 =L= 1;
e98.. x40 - 15*b112 =L= 0;
e99.. x41 - 15*b113 =L= 0;
e100.. x52 - 3.04984759446376*b112 =L= 0;
e101.. x53 - 3.04984759446376*b113 =L= 0;
e102.. - 0.9*x42 + x74 + b114 =L= 1;
e103.. - 0.9*x43 + x75 + b115 =L= 1;
e104.. - 0.9*x42 + x74 - b114 =G= -1;
e105.. - 0.9*x43 + x75 - b115 =G= -1;
e106.. - x58 + x74 + b114 =L= 1;
e107.. - x59 + x75 + b115 =L= 1;
e108.. - x58 + x74 - b114 =G= -1;
e109.. - x59 + x75 - b115 =G= -1;
e110.. x42 - 1.83548069293539*b114 =L= 0;
e111.. x43 - 1.83548069293539*b115 =L= 0;
e112.. x58 - 20*b114 =L= 0;
e113.. x59 - 20*b115 =L= 0;
e114.. x74 - 20*b114 =L= 0;
e115.. x75 - 20*b115 =L= 0;
e116.. -log(1 + x44) + x76 + b116 =L= 1;
e117.. -log(1 + x45) + x77 + b117 =L= 1;
e118.. x44 - 1.32154609891348*b116 =L= 0;
e119.. x45 - 1.32154609891348*b117 =L= 0;
e120.. x76 - 0.842233385663186*b116 =L= 0;
e121.. x77 - 0.842233385663186*b117 =L= 0;
e122.. -0.7*log(1 + x54) + x78 + b118 =L= 1;
e123.. -0.7*log(1 + x55) + x79 + b119 =L= 1;
e124.. x54 - 1.26558121681553*b118 =L= 0;
e125.. x55 - 1.26558121681553*b119 =L= 0;
e126.. x78 - 0.572481933717686*b118 =L= 0;
e127.. x79 - 0.572481933717686*b119 =L= 0;
e128.. -0.65*log(1 + x56) + x80 + b120 =L= 1;
e129.. -0.65*log(1 + x57) + x81 + b121 =L= 1;
e130.. -0.65*log(1 + x62) + x80 + b120 =L= 1;
e131.. -0.65*log(1 + x63) + x81 + b121 =L= 1;
e132.. x56 - 1.26558121681553*b120 =L= 0;
e133.. x57 - 1.26558121681553*b121 =L= 0;
e134.. x62 - 33.5*b120 =L= 0;
e135.. x63 - 33.5*b121 =L= 0;
e136.. x80 - 2.30162356062425*b120 =L= 0;
e137.. x81 - 2.30162356062425*b121 =L= 0;
e138.. - x64 + x82 + b122 =L= 1;
e139.. - x65 + x83 + b123 =L= 1;
e140.. - x64 + x82 - b122 =G= -1;
e141.. - x65 + x83 - b123 =G= -1;
e142.. x64 - 9*b122 =L= 0;
e143.. x65 - 9*b123 =L= 0;
e144.. x82 - 9*b122 =L= 0;
e145.. x83 - 9*b123 =L= 0;
e146.. - x66 + x84 + b124 =L= 1;
e147.. - x67 + x85 + b125 =L= 1;
e148.. - x66 + x84 - b124 =G= -1;
e149.. - x67 + x85 - b125 =G= -1;
e150.. x66 - 9*b124 =L= 0;
e151.. x67 - 9*b125 =L= 0;
e152.. x84 - 9*b124 =L= 0;
e153.. x85 - 9*b125 =L= 0;
e154.. -0.75*log(1 + x68) + x86 + b126 =L= 1;
e155.. -0.75*log(1 + x69) + x87 + b127 =L= 1;
e156.. x68 - 3.04984759446376*b126 =L= 0;
e157.. x69 - 3.04984759446376*b127 =L= 0;
e158.. x86 - 1.04900943706034*b126 =L= 0;
e159.. x87 - 1.04900943706034*b127 =L= 0;
e160.. -0.8*log(1 + x70) + x88 + b128 =L= 1;
e161.. -0.8*log(1 + x71) + x89 + b129 =L= 1;
e162.. x70 - 3.04984759446376*b128 =L= 0;
e163.. x71 - 3.04984759446376*b129 =L= 0;
e164.. x88 - 1.11894339953103*b128 =L= 0;
e165.. x89 - 1.11894339953103*b129 =L= 0;
e166.. -0.85*log(1 + x72) + x90 + b130 =L= 1;
e167.. -0.85*log(1 + x73) + x91 + b131 =L= 1;
e168.. x72 - 3.04984759446376*b130 =L= 0;
e169.. x73 - 3.04984759446376*b131 =L= 0;
e170.. x90 - 1.18887736200171*b130 =L= 0;
e171.. x91 - 1.18887736200171*b131 =L= 0;
e172.. 5*b132 + x172 =L= 0;
e173.. 4*b133 + x173 =L= 0;
e174.. 8*b134 + x174 =L= 0;
e175.. 7*b135 + x175 =L= 0;
e176.. 6*b136 + x176 =L= 0;
e177.. 9*b137 + x177 =L= 0;
e178.. 10*b138 + x178 =L= 0;
e179.. 9*b139 + x179 =L= 0;
e180.. 6*b140 + x180 =L= 0;
e181.. 10*b141 + x181 =L= 0;
e182.. 7*b142 + x182 =L= 0;
e183.. 7*b143 + x183 =L= 0;
e184.. 4*b144 + x184 =L= 0;
e185.. 3*b145 + x185 =L= 0;
e186.. 5*b146 + x186 =L= 0;
e187.. 6*b147 + x187 =L= 0;
e188.. 2*b148 + x188 =L= 0;
e189.. 5*b149 + x189 =L= 0;
e190.. 4*b150 + x190 =L= 0;
e191.. 7*b151 + x191 =L= 0;
e192.. 3*b152 + x192 =L= 0;
e193.. 9*b153 + x193 =L= 0;
e194.. 7*b154 + x194 =L= 0;
e195.. 2*b155 + x195 =L= 0;
e196.. 3*b156 + x196 =L= 0;
e197.. b157 + x197 =L= 0;
e198.. 2*b158 + x198 =L= 0;
e199.. 6*b159 + x199 =L= 0;
e200.. 4*b160 + x200 =L= 0;
e201.. 8*b161 + x201 =L= 0;
e202.. 2*b162 + x202 =L= 0;
e203.. 5*b163 + x203 =L= 0;
e204.. 3*b164 + x204 =L= 0;
e205.. 4*b165 + x205 =L= 0;
e206.. 5*b166 + x206 =L= 0;
e207.. 7*b167 + x207 =L= 0;
e208.. 2*b168 + x208 =L= 0;
e209.. 8*b169 + x209 =L= 0;
e210.. b170 + x210 =L= 0;
e211.. 4*b171 + x211 =L= 0;
e212.. 5*b132 + x172 =G= 0;
e213.. 4*b133 + x173 =G= 0;
e214.. 8*b134 + x174 =G= 0;
e215.. 7*b135 + x175 =G= 0;
e216.. 6*b136 + x176 =G= 0;
e217.. 9*b137 + x177 =G= 0;
e218.. 10*b138 + x178 =G= 0;
e219.. 9*b139 + x179 =G= 0;
e220.. 6*b140 + x180 =G= 0;
e221.. 10*b141 + x181 =G= 0;
e222.. 7*b142 + x182 =G= 0;
e223.. 7*b143 + x183 =G= 0;
e224.. 4*b144 + x184 =G= 0;
e225.. 3*b145 + x185 =G= 0;
e226.. 5*b146 + x186 =G= 0;
e227.. 6*b147 + x187 =G= 0;
e228.. 2*b148 + x188 =G= 0;
e229.. 5*b149 + x189 =G= 0;
e230.. 4*b150 + x190 =G= 0;
e231.. 7*b151 + x191 =G= 0;
e232.. 3*b152 + x192 =G= 0;
e233.. 9*b153 + x193 =G= 0;
e234.. 7*b154 + x194 =G= 0;
e235.. 2*b155 + x195 =G= 0;
e236.. 3*b156 + x196 =G= 0;
e237.. b157 + x197 =G= 0;
e238.. 2*b158 + x198 =G= 0;
e239.. 6*b159 + x199 =G= 0;
e240.. 4*b160 + x200 =G= 0;
e241.. 8*b161 + x201 =G= 0;
e242.. 2*b162 + x202 =G= 0;
e243.. 5*b163 + x203 =G= 0;
e244.. 3*b164 + x204 =G= 0;
e245.. 4*b165 + x205 =G= 0;
e246.. 5*b166 + x206 =G= 0;
e247.. 7*b167 + x207 =G= 0;
e248.. 2*b168 + x208 =G= 0;
e249.. 8*b169 + x209 =G= 0;
e250.. b170 + x210 =G= 0;
e251.. 4*b171 + x211 =G= 0;
e252.. b92 - b93 =L= 0;
e253.. b94 - b95 =L= 0;
e254.. b96 - b97 =L= 0;
e255.. b98 - b99 =L= 0;
e256.. b100 - b101 =L= 0;
e257.. b102 - b103 =L= 0;
e258.. b104 - b105 =L= 0;
e259.. b106 - b107 =L= 0;
e260.. b108 - b109 =L= 0;
e261.. b110 - b111 =L= 0;
e262.. b112 - b113 =L= 0;
e263.. b114 - b115 =L= 0;
e264.. b116 - b117 =L= 0;
e265.. b118 - b119 =L= 0;
e266.. b120 - b121 =L= 0;
e267.. b122 - b123 =L= 0;
e268.. b124 - b125 =L= 0;
e269.. b126 - b127 =L= 0;
e270.. b128 - b129 =L= 0;
e271.. b130 - b131 =L= 0;
e272.. b132 + b133 =L= 1;
e273.. b132 + b133 =L= 1;
e274.. b134 + b135 =L= 1;
e275.. b134 + b135 =L= 1;
e276.. b136 + b137 =L= 1;
e277.. b136 + b137 =L= 1;
e278.. b138 + b139 =L= 1;
e279.. b138 + b139 =L= 1;
e280.. b140 + b141 =L= 1;
e281.. b140 + b141 =L= 1;
e282.. b142 + b143 =L= 1;
e283.. b142 + b143 =L= 1;
e284.. b144 + b145 =L= 1;
e285.. b144 + b145 =L= 1;
e286.. b146 + b147 =L= 1;
e287.. b146 + b147 =L= 1;
e288.. b148 + b149 =L= 1;
e289.. b148 + b149 =L= 1;
e290.. b150 + b151 =L= 1;
e291.. b150 + b151 =L= 1;
e292.. b152 + b153 =L= 1;
e293.. b152 + b153 =L= 1;
e294.. b154 + b155 =L= 1;
e295.. b154 + b155 =L= 1;
e296.. b156 + b157 =L= 1;
e297.. b156 + b157 =L= 1;
e298.. b158 + b159 =L= 1;
e299.. b158 + b159 =L= 1;
e300.. b160 + b161 =L= 1;
e301.. b160 + b161 =L= 1;
e302.. b162 + b163 =L= 1;
e303.. b162 + b163 =L= 1;
e304.. b164 + b165 =L= 1;
e305.. b164 + b165 =L= 1;
e306.. b166 + b167 =L= 1;
e307.. b166 + b167 =L= 1;
e308.. b168 + b169 =L= 1;
e309.. b168 + b169 =L= 1;
e310.. b170 + b171 =L= 1;
e311.. b170 + b171 =L= 1;
e312.. b92 - b132 =L= 0;
e313.. - b92 + b93 - b133 =L= 0;
e314.. b94 - b134 =L= 0;
e315.. - b94 + b95 - b135 =L= 0;
e316.. b96 - b136 =L= 0;
e317.. - b96 + b97 - b137 =L= 0;
e318.. b98 - b138 =L= 0;
e319.. - b98 + b99 - b139 =L= 0;
e320.. b100 - b140 =L= 0;
e321.. - b100 + b101 - b141 =L= 0;
e322.. b102 - b142 =L= 0;
e323.. - b102 + b103 - b143 =L= 0;
e324.. b104 - b144 =L= 0;
e325.. - b104 + b105 - b145 =L= 0;
e326.. b106 - b146 =L= 0;
e327.. - b106 + b107 - b147 =L= 0;
e328.. b108 - b148 =L= 0;
e329.. - b108 + b109 - b149 =L= 0;
e330.. b110 - b150 =L= 0;
e331.. - b110 + b111 - b151 =L= 0;
e332.. b112 - b152 =L= 0;
e333.. - b112 + b113 - b153 =L= 0;
e334.. b114 - b154 =L= 0;
e335.. - b114 + b115 - b155 =L= 0;
e336.. b116 - b156 =L= 0;
e337.. - b116 + b117 - b157 =L= 0;
e338.. b118 - b158 =L= 0;
e339.. - b118 + b119 - b159 =L= 0;
e340.. b120 - b160 =L= 0;
e341.. - b120 + b121 - b161 =L= 0;
e342.. b122 - b162 =L= 0;
e343.. - b122 + b123 - b163 =L= 0;
e344.. b124 - b164 =L= 0;
e345.. - b124 + b125 - b165 =L= 0;
e346.. b126 - b166 =L= 0;
e347.. - b126 + b127 - b167 =L= 0;
e348.. b128 - b168 =L= 0;
e349.. - b128 + b129 - b169 =L= 0;
e350.. b130 - b170 =L= 0;
e351.. - b130 + b131 - b171 =L= 0;
e352.. b92 + b94 =E= 1;
e353.. b93 + b95 =E= 1;
e354.. - b96 + b102 + b104 =G= 0;
e355.. - b97 + b103 + b105 =G= 0;
e356.. - b102 + b114 =G= 0;
e357.. - b103 + b115 =G= 0;
e358.. - b104 + b116 =G= 0;
e359.. - b105 + b117 =G= 0;
e360.. - b98 + b106 =G= 0;
e361.. - b99 + b107 =G= 0;
e362.. - b106 + b118 + b120 =G= 0;
e363.. - b107 + b119 + b121 =G= 0;
e364.. - b100 + b108 + b110 + b112 =G= 0;
e365.. - b101 + b109 + b111 + b113 =G= 0;
e366.. - b108 + b120 =G= 0;
e367.. - b109 + b121 =G= 0;
e368.. - b110 + b122 + b124 =G= 0;
e369.. - b111 + b123 + b125 =G= 0;
e370.. - b112 + b126 + b128 + b130 =G= 0;
e371.. - b113 + b127 + b129 + b131 =G= 0;
e372.. b92 + b94 - b96 =G= 0;
e373.. b93 + b95 - b97 =G= 0;
e374.. b92 + b94 - b98 =G= 0;
e375.. b93 + b95 - b99 =G= 0;
e376.. b92 + b94 - b100 =G= 0;
e377.. b93 + b95 - b101 =G= 0;
e378.. b96 - b102 =G= 0;
e379.. b97 - b103 =G= 0;
e380.. b96 - b104 =G= 0;
e381.. b97 - b105 =G= 0;
e382.. b98 - b106 =G= 0;
e383.. b99 - b107 =G= 0;
e384.. b100 - b108 =G= 0;
e385.. b101 - b109 =G= 0;
e386.. b100 - b110 =G= 0;
e387.. b101 - b111 =G= 0;
e388.. b100 - b112 =G= 0;
e389.. b101 - b113 =G= 0;
e390.. b102 - b114 =G= 0;
e391.. b103 - b115 =G= 0;
e392.. b104 - b116 =G= 0;
e393.. b105 - b117 =G= 0;
e394.. b106 - b118 =G= 0;
e395.. b107 - b119 =G= 0;
e396.. b106 - b120 =G= 0;
e397.. b107 - b121 =G= 0;
e398.. b110 - b122 =G= 0;
e399.. b111 - b123 =G= 0;
e400.. b110 - b124 =G= 0;
e401.. b111 - b125 =G= 0;
e402.. b112 - b126 =G= 0;
e403.. b113 - b127 =G= 0;
e404.. b112 - b128 =G= 0;
e405.. b113 - b129 =G= 0;
e406.. b112 - b130 =G= 0;
e407.. b113 - b131 =G= 0;
* set non-default bounds
x2.up = 40;
x3.up = 40;
x24.up = 30;
x25.up = 30;
x58.up = 20;
x59.up = 20;
x60.up = 20;
x61.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