MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Removed Instance syn05m04h
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ⓘ | 5510.89820400 (ALPHAECP) 5510.39529200 (ANTIGONE) 5510.38810000 (BARON) 5510.38808300 (BONMIN) 5510.38808300 (COUENNE) 5510.38808300 (LINDO) 5510.38844800 (SCIP) 5510.38861100 (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ⓘ | Syn05M04H.gms from CMU-IBM MINLP solver project page |
| Applicationⓘ | Synthesis of processing system |
| Added to libraryⓘ | 28 Sep 2013 |
| Removed from libraryⓘ | 16 Feb 2022 |
| Removed becauseⓘ | Superseded by syn05m04hfsg. |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 208 |
| #Binary Variablesⓘ | 40 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 36 |
| #Nonlinear Binary Variablesⓘ | 12 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | max |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 44 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 362 |
| #Linear Constraintsⓘ | 350 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 12 |
| Operands in Gen. Nonlin. Functionsⓘ | div log mul |
| Constraints curvatureⓘ | convex |
| #Nonzeros in Jacobianⓘ | 798 |
| #Nonlinear Nonzeros in Jacobianⓘ | 36 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 72 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 24 |
| #Blocks in Hessian of Lagrangianⓘ | 12 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 3 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 3 |
| Average blocksize in Hessian of Lagrangianⓘ | 3.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.0000e-06 |
| 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
* 363 141 12 210 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 209 169 40 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 843 807 36 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,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180
,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193
,b194,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206
,b207,b208,b209;
Positive Variables 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;
Binary Variables b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180,b181
,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193,b194
,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206,b207
,b208,b209;
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;
e1.. objvar + x22 + x23 + x24 + x25 - 5*x46 - 10*x47 - 5*x48 - 10*x49
+ 2*x66 + x67 + 2*x68 + x69 - 80*x70 - 90*x71 - 120*x72 - 100*x73
- 285*x74 - 390*x75 - 350*x76 - 300*x77 - 290*x78 - 405*x79 - 190*x80
- 340*x81 + 5*b190 + 4*b191 + 6*b192 + 3*b193 + 8*b194 + 7*b195 + 6*b196
+ 5*b197 + 6*b198 + 9*b199 + 4*b200 + 3*b201 + 10*b202 + 9*b203 + 5*b204
+ 6*b205 + 6*b206 + 10*b207 + 6*b208 + 9*b209 =E= 0;
e2.. x22 - x26 - x30 =E= 0;
e3.. x23 - x27 - x31 =E= 0;
e4.. x24 - x28 - x32 =E= 0;
e5.. x25 - x29 - x33 =E= 0;
e6.. - x34 - x38 + x42 =E= 0;
e7.. - x35 - x39 + x43 =E= 0;
e8.. - x36 - x40 + x44 =E= 0;
e9.. - x37 - x41 + x45 =E= 0;
e10.. x42 - x46 - x50 =E= 0;
e11.. x43 - x47 - x51 =E= 0;
e12.. x44 - x48 - x52 =E= 0;
e13.. x45 - x49 - x53 =E= 0;
e14.. x50 - x54 - x58 - x62 =E= 0;
e15.. x51 - x55 - x59 - x63 =E= 0;
e16.. x52 - x56 - x60 - x64 =E= 0;
e17.. x53 - x57 - x61 - x65 =E= 0;
e18.. (x98/(1e-6 + b170) - log(1 + x82/(1e-6 + b170)))*(1e-6 + b170) =L= 0;
e19.. (x99/(1e-6 + b171) - log(1 + x83/(1e-6 + b171)))*(1e-6 + b171) =L= 0;
e20.. (x100/(1e-6 + b172) - log(1 + x84/(1e-6 + b172)))*(1e-6 + b172) =L= 0;
e21.. (x101/(1e-6 + b173) - log(1 + x85/(1e-6 + b173)))*(1e-6 + b173) =L= 0;
e22.. x86 =E= 0;
e23.. x87 =E= 0;
e24.. x88 =E= 0;
e25.. x89 =E= 0;
e26.. x102 =E= 0;
e27.. x103 =E= 0;
e28.. x104 =E= 0;
e29.. x105 =E= 0;
e30.. x26 - x82 - x86 =E= 0;
e31.. x27 - x83 - x87 =E= 0;
e32.. x28 - x84 - x88 =E= 0;
e33.. x29 - x85 - x89 =E= 0;
e34.. x34 - x98 - x102 =E= 0;
e35.. x35 - x99 - x103 =E= 0;
e36.. x36 - x100 - x104 =E= 0;
e37.. x37 - x101 - x105 =E= 0;
e38.. x82 - 40*b170 =L= 0;
e39.. x83 - 40*b171 =L= 0;
e40.. x84 - 40*b172 =L= 0;
e41.. x85 - 40*b173 =L= 0;
e42.. x86 + 40*b170 =L= 40;
e43.. x87 + 40*b171 =L= 40;
e44.. x88 + 40*b172 =L= 40;
e45.. x89 + 40*b173 =L= 40;
e46.. x98 - 3.71357206670431*b170 =L= 0;
e47.. x99 - 3.71357206670431*b171 =L= 0;
e48.. x100 - 3.71357206670431*b172 =L= 0;
e49.. x101 - 3.71357206670431*b173 =L= 0;
e50.. x102 + 3.71357206670431*b170 =L= 3.71357206670431;
e51.. x103 + 3.71357206670431*b171 =L= 3.71357206670431;
e52.. x104 + 3.71357206670431*b172 =L= 3.71357206670431;
e53.. x105 + 3.71357206670431*b173 =L= 3.71357206670431;
e54.. (x106/(1e-6 + b174) - 1.2*log(1 + x90/(1e-6 + b174)))*(1e-6 + b174) =L= 0
;
e55.. (x107/(1e-6 + b175) - 1.2*log(1 + x91/(1e-6 + b175)))*(1e-6 + b175) =L= 0
;
e56.. (x108/(1e-6 + b176) - 1.2*log(1 + x92/(1e-6 + b176)))*(1e-6 + b176) =L= 0
;
e57.. (x109/(1e-6 + b177) - 1.2*log(1 + x93/(1e-6 + b177)))*(1e-6 + b177) =L= 0
;
e58.. x94 =E= 0;
e59.. x95 =E= 0;
e60.. x96 =E= 0;
e61.. x97 =E= 0;
e62.. x110 =E= 0;
e63.. x111 =E= 0;
e64.. x112 =E= 0;
e65.. x113 =E= 0;
e66.. x30 - x90 - x94 =E= 0;
e67.. x31 - x91 - x95 =E= 0;
e68.. x32 - x92 - x96 =E= 0;
e69.. x33 - x93 - x97 =E= 0;
e70.. x38 - x106 - x110 =E= 0;
e71.. x39 - x107 - x111 =E= 0;
e72.. x40 - x108 - x112 =E= 0;
e73.. x41 - x109 - x113 =E= 0;
e74.. x90 - 40*b174 =L= 0;
e75.. x91 - 40*b175 =L= 0;
e76.. x92 - 40*b176 =L= 0;
e77.. x93 - 40*b177 =L= 0;
e78.. x94 + 40*b174 =L= 40;
e79.. x95 + 40*b175 =L= 40;
e80.. x96 + 40*b176 =L= 40;
e81.. x97 + 40*b177 =L= 40;
e82.. x106 - 4.45628648004517*b174 =L= 0;
e83.. x107 - 4.45628648004517*b175 =L= 0;
e84.. x108 - 4.45628648004517*b176 =L= 0;
e85.. x109 - 4.45628648004517*b177 =L= 0;
e86.. x110 + 4.45628648004517*b174 =L= 4.45628648004517;
e87.. x111 + 4.45628648004517*b175 =L= 4.45628648004517;
e88.. x112 + 4.45628648004517*b176 =L= 4.45628648004517;
e89.. x113 + 4.45628648004517*b177 =L= 4.45628648004517;
e90.. - 0.75*x114 + x146 =E= 0;
e91.. - 0.75*x115 + x147 =E= 0;
e92.. - 0.75*x116 + x148 =E= 0;
e93.. - 0.75*x117 + x149 =E= 0;
e94.. x118 =E= 0;
e95.. x119 =E= 0;
e96.. x120 =E= 0;
e97.. x121 =E= 0;
e98.. x150 =E= 0;
e99.. x151 =E= 0;
e100.. x152 =E= 0;
e101.. x153 =E= 0;
e102.. x54 - x114 - x118 =E= 0;
e103.. x55 - x115 - x119 =E= 0;
e104.. x56 - x116 - x120 =E= 0;
e105.. x57 - x117 - x121 =E= 0;
e106.. x70 - x146 - x150 =E= 0;
e107.. x71 - x147 - x151 =E= 0;
e108.. x72 - x148 - x152 =E= 0;
e109.. x73 - x149 - x153 =E= 0;
e110.. x114 - 4.45628648004517*b178 =L= 0;
e111.. x115 - 4.45628648004517*b179 =L= 0;
e112.. x116 - 4.45628648004517*b180 =L= 0;
e113.. x117 - 4.45628648004517*b181 =L= 0;
e114.. x118 + 4.45628648004517*b178 =L= 4.45628648004517;
e115.. x119 + 4.45628648004517*b179 =L= 4.45628648004517;
e116.. x120 + 4.45628648004517*b180 =L= 4.45628648004517;
e117.. x121 + 4.45628648004517*b181 =L= 4.45628648004517;
e118.. x146 - 3.34221486003388*b178 =L= 0;
e119.. x147 - 3.34221486003388*b179 =L= 0;
e120.. x148 - 3.34221486003388*b180 =L= 0;
e121.. x149 - 3.34221486003388*b181 =L= 0;
e122.. x150 + 3.34221486003388*b178 =L= 3.34221486003388;
e123.. x151 + 3.34221486003388*b179 =L= 3.34221486003388;
e124.. x152 + 3.34221486003388*b180 =L= 3.34221486003388;
e125.. x153 + 3.34221486003388*b181 =L= 3.34221486003388;
e126.. (x154/(1e-6 + b182) - 1.5*log(1 + x122/(1e-6 + b182)))*(1e-6 + b182)
=L= 0;
e127.. (x155/(1e-6 + b183) - 1.5*log(1 + x123/(1e-6 + b183)))*(1e-6 + b183)
=L= 0;
e128.. (x156/(1e-6 + b184) - 1.5*log(1 + x124/(1e-6 + b184)))*(1e-6 + b184)
=L= 0;
e129.. (x157/(1e-6 + b185) - 1.5*log(1 + x125/(1e-6 + b185)))*(1e-6 + b185)
=L= 0;
e130.. x126 =E= 0;
e131.. x127 =E= 0;
e132.. x128 =E= 0;
e133.. x129 =E= 0;
e134.. x158 =E= 0;
e135.. x159 =E= 0;
e136.. x160 =E= 0;
e137.. x161 =E= 0;
e138.. x58 - x122 - x126 =E= 0;
e139.. x59 - x123 - x127 =E= 0;
e140.. x60 - x124 - x128 =E= 0;
e141.. x61 - x125 - x129 =E= 0;
e142.. x74 - x154 - x158 =E= 0;
e143.. x75 - x155 - x159 =E= 0;
e144.. x76 - x156 - x160 =E= 0;
e145.. x77 - x157 - x161 =E= 0;
e146.. x122 - 4.45628648004517*b182 =L= 0;
e147.. x123 - 4.45628648004517*b183 =L= 0;
e148.. x124 - 4.45628648004517*b184 =L= 0;
e149.. x125 - 4.45628648004517*b185 =L= 0;
e150.. x126 + 4.45628648004517*b182 =L= 4.45628648004517;
e151.. x127 + 4.45628648004517*b183 =L= 4.45628648004517;
e152.. x128 + 4.45628648004517*b184 =L= 4.45628648004517;
e153.. x129 + 4.45628648004517*b185 =L= 4.45628648004517;
e154.. x154 - 2.54515263975353*b182 =L= 0;
e155.. x155 - 2.54515263975353*b183 =L= 0;
e156.. x156 - 2.54515263975353*b184 =L= 0;
e157.. x157 - 2.54515263975353*b185 =L= 0;
e158.. x158 + 2.54515263975353*b182 =L= 2.54515263975353;
e159.. x159 + 2.54515263975353*b183 =L= 2.54515263975353;
e160.. x160 + 2.54515263975353*b184 =L= 2.54515263975353;
e161.. x161 + 2.54515263975353*b185 =L= 2.54515263975353;
e162.. - x130 + x162 =E= 0;
e163.. - x131 + x163 =E= 0;
e164.. - x132 + x164 =E= 0;
e165.. - x133 + x165 =E= 0;
e166.. - 0.5*x138 + x162 =E= 0;
e167.. - 0.5*x139 + x163 =E= 0;
e168.. - 0.5*x140 + x164 =E= 0;
e169.. - 0.5*x141 + x165 =E= 0;
e170.. x134 =E= 0;
e171.. x135 =E= 0;
e172.. x136 =E= 0;
e173.. x137 =E= 0;
e174.. x142 =E= 0;
e175.. x143 =E= 0;
e176.. x144 =E= 0;
e177.. x145 =E= 0;
e178.. x166 =E= 0;
e179.. x167 =E= 0;
e180.. x168 =E= 0;
e181.. x169 =E= 0;
e182.. x62 - x130 - x134 =E= 0;
e183.. x63 - x131 - x135 =E= 0;
e184.. x64 - x132 - x136 =E= 0;
e185.. x65 - x133 - x137 =E= 0;
e186.. x66 - x138 - x142 =E= 0;
e187.. x67 - x139 - x143 =E= 0;
e188.. x68 - x140 - x144 =E= 0;
e189.. x69 - x141 - x145 =E= 0;
e190.. x78 - x162 - x166 =E= 0;
e191.. x79 - x163 - x167 =E= 0;
e192.. x80 - x164 - x168 =E= 0;
e193.. x81 - x165 - x169 =E= 0;
e194.. x130 - 4.45628648004517*b186 =L= 0;
e195.. x131 - 4.45628648004517*b187 =L= 0;
e196.. x132 - 4.45628648004517*b188 =L= 0;
e197.. x133 - 4.45628648004517*b189 =L= 0;
e198.. x134 + 4.45628648004517*b186 =L= 4.45628648004517;
e199.. x135 + 4.45628648004517*b187 =L= 4.45628648004517;
e200.. x136 + 4.45628648004517*b188 =L= 4.45628648004517;
e201.. x137 + 4.45628648004517*b189 =L= 4.45628648004517;
e202.. x138 - 30*b186 =L= 0;
e203.. x139 - 30*b187 =L= 0;
e204.. x140 - 30*b188 =L= 0;
e205.. x141 - 30*b189 =L= 0;
e206.. x142 + 30*b186 =L= 30;
e207.. x143 + 30*b187 =L= 30;
e208.. x144 + 30*b188 =L= 30;
e209.. x145 + 30*b189 =L= 30;
e210.. x162 - 15*b186 =L= 0;
e211.. x163 - 15*b187 =L= 0;
e212.. x164 - 15*b188 =L= 0;
e213.. x165 - 15*b189 =L= 0;
e214.. x166 + 15*b186 =L= 15;
e215.. x167 + 15*b187 =L= 15;
e216.. x168 + 15*b188 =L= 15;
e217.. x169 + 15*b189 =L= 15;
e218.. x2 + 5*b190 =E= 0;
e219.. x3 + 4*b191 =E= 0;
e220.. x4 + 6*b192 =E= 0;
e221.. x5 + 3*b193 =E= 0;
e222.. x6 + 8*b194 =E= 0;
e223.. x7 + 7*b195 =E= 0;
e224.. x8 + 6*b196 =E= 0;
e225.. x9 + 5*b197 =E= 0;
e226.. x10 + 6*b198 =E= 0;
e227.. x11 + 9*b199 =E= 0;
e228.. x12 + 4*b200 =E= 0;
e229.. x13 + 3*b201 =E= 0;
e230.. x14 + 10*b202 =E= 0;
e231.. x15 + 9*b203 =E= 0;
e232.. x16 + 5*b204 =E= 0;
e233.. x17 + 6*b205 =E= 0;
e234.. x18 + 6*b206 =E= 0;
e235.. x19 + 10*b207 =E= 0;
e236.. x20 + 6*b208 =E= 0;
e237.. x21 + 9*b209 =E= 0;
e238.. b170 - b171 =L= 0;
e239.. b170 - b172 =L= 0;
e240.. b170 - b173 =L= 0;
e241.. b171 - b172 =L= 0;
e242.. b171 - b173 =L= 0;
e243.. b172 - b173 =L= 0;
e244.. b174 - b175 =L= 0;
e245.. b174 - b176 =L= 0;
e246.. b174 - b177 =L= 0;
e247.. b175 - b176 =L= 0;
e248.. b175 - b177 =L= 0;
e249.. b176 - b177 =L= 0;
e250.. b178 - b179 =L= 0;
e251.. b178 - b180 =L= 0;
e252.. b178 - b181 =L= 0;
e253.. b179 - b180 =L= 0;
e254.. b179 - b181 =L= 0;
e255.. b180 - b181 =L= 0;
e256.. b182 - b183 =L= 0;
e257.. b182 - b184 =L= 0;
e258.. b182 - b185 =L= 0;
e259.. b183 - b184 =L= 0;
e260.. b183 - b185 =L= 0;
e261.. b184 - b185 =L= 0;
e262.. b186 - b187 =L= 0;
e263.. b186 - b188 =L= 0;
e264.. b186 - b189 =L= 0;
e265.. b187 - b188 =L= 0;
e266.. b187 - b189 =L= 0;
e267.. b188 - b189 =L= 0;
e268.. b190 + b191 =L= 1;
e269.. b190 + b192 =L= 1;
e270.. b190 + b193 =L= 1;
e271.. b190 + b191 =L= 1;
e272.. b191 + b192 =L= 1;
e273.. b191 + b193 =L= 1;
e274.. b190 + b192 =L= 1;
e275.. b191 + b192 =L= 1;
e276.. b192 + b193 =L= 1;
e277.. b190 + b193 =L= 1;
e278.. b191 + b193 =L= 1;
e279.. b192 + b193 =L= 1;
e280.. b194 + b195 =L= 1;
e281.. b194 + b196 =L= 1;
e282.. b194 + b197 =L= 1;
e283.. b194 + b195 =L= 1;
e284.. b195 + b196 =L= 1;
e285.. b195 + b197 =L= 1;
e286.. b194 + b196 =L= 1;
e287.. b195 + b196 =L= 1;
e288.. b196 + b197 =L= 1;
e289.. b194 + b197 =L= 1;
e290.. b195 + b197 =L= 1;
e291.. b196 + b197 =L= 1;
e292.. b198 + b199 =L= 1;
e293.. b198 + b200 =L= 1;
e294.. b198 + b201 =L= 1;
e295.. b198 + b199 =L= 1;
e296.. b199 + b200 =L= 1;
e297.. b199 + b201 =L= 1;
e298.. b198 + b200 =L= 1;
e299.. b199 + b200 =L= 1;
e300.. b200 + b201 =L= 1;
e301.. b198 + b201 =L= 1;
e302.. b199 + b201 =L= 1;
e303.. b200 + b201 =L= 1;
e304.. b202 + b203 =L= 1;
e305.. b202 + b204 =L= 1;
e306.. b202 + b205 =L= 1;
e307.. b202 + b203 =L= 1;
e308.. b203 + b204 =L= 1;
e309.. b203 + b205 =L= 1;
e310.. b202 + b204 =L= 1;
e311.. b203 + b204 =L= 1;
e312.. b204 + b205 =L= 1;
e313.. b202 + b205 =L= 1;
e314.. b203 + b205 =L= 1;
e315.. b204 + b205 =L= 1;
e316.. b206 + b207 =L= 1;
e317.. b206 + b208 =L= 1;
e318.. b206 + b209 =L= 1;
e319.. b206 + b207 =L= 1;
e320.. b207 + b208 =L= 1;
e321.. b207 + b209 =L= 1;
e322.. b206 + b208 =L= 1;
e323.. b207 + b208 =L= 1;
e324.. b208 + b209 =L= 1;
e325.. b206 + b209 =L= 1;
e326.. b207 + b209 =L= 1;
e327.. b208 + b209 =L= 1;
e328.. b170 - b190 =L= 0;
e329.. - b170 + b171 - b191 =L= 0;
e330.. - b170 - b171 + b172 - b192 =L= 0;
e331.. - b170 - b171 - b172 + b173 - b193 =L= 0;
e332.. b174 - b194 =L= 0;
e333.. - b174 + b175 - b195 =L= 0;
e334.. - b174 - b175 + b176 - b196 =L= 0;
e335.. - b174 - b175 - b176 + b177 - b197 =L= 0;
e336.. b178 - b198 =L= 0;
e337.. - b178 + b179 - b199 =L= 0;
e338.. - b178 - b179 + b180 - b200 =L= 0;
e339.. - b178 - b179 - b180 + b181 - b201 =L= 0;
e340.. b182 - b202 =L= 0;
e341.. - b182 + b183 - b203 =L= 0;
e342.. - b182 - b183 + b184 - b204 =L= 0;
e343.. - b182 - b183 - b184 + b185 - b205 =L= 0;
e344.. b186 - b206 =L= 0;
e345.. - b186 + b187 - b207 =L= 0;
e346.. - b186 - b187 + b188 - b208 =L= 0;
e347.. - b186 - b187 - b188 + b189 - b209 =L= 0;
e348.. b170 + b174 =E= 1;
e349.. b171 + b175 =E= 1;
e350.. b172 + b176 =E= 1;
e351.. b173 + b177 =E= 1;
e352.. b170 + b174 - b178 =G= 0;
e353.. b171 + b175 - b179 =G= 0;
e354.. b172 + b176 - b180 =G= 0;
e355.. b173 + b177 - b181 =G= 0;
e356.. b170 + b174 - b182 =G= 0;
e357.. b171 + b175 - b183 =G= 0;
e358.. b172 + b176 - b184 =G= 0;
e359.. b173 + b177 - b185 =G= 0;
e360.. b170 + b174 - b186 =G= 0;
e361.. b171 + b175 - b187 =G= 0;
e362.. b172 + b176 - b188 =G= 0;
e363.. b173 + b177 - b189 =G= 0;
* set non-default bounds
x22.up = 40;
x23.up = 40;
x24.up = 40;
x25.up = 40;
x66.up = 30;
x67.up = 30;
x68.up = 30;
x69.up = 30;
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