MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Removed Instance clay0205h
Non overlapping rectangular units must be placed within the confines of certain designated areas such that the cost of connecting these units is minimized.
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 8092.50000000 (ALPHAECP) 8092.50000000 (ANTIGONE) 8092.49999200 (BARON) 8092.50000000 (BONMIN) 8092.50000000 (COUENNE) 6487.49999900 (LINDO) 8092.50000000 (SCIP) 6160.43505600 (SHOT) |
| Referencesⓘ | Sawaya, Nicolas W, Reformulations, relaxations and cutting planes for generalized disjunctive programming, PhD thesis, Carnegie Mellon University, 2006. |
| Sourceⓘ | CLay0205H.gms from CMU-IBM MINLP solver project page |
| Applicationⓘ | Layout |
| Added to libraryⓘ | 28 Sep 2013 |
| Removed from libraryⓘ | 16 Feb 2022 |
| Removed becauseⓘ | Superseded by clay0205hfsg |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 260 |
| #Binary Variablesⓘ | 50 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 30 |
| #Nonlinear Binary Variablesⓘ | 10 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 20 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 365 |
| #Linear Constraintsⓘ | 325 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 40 |
| Operands in Gen. Nonlin. Functionsⓘ | div mul sqr |
| Constraints curvatureⓘ | convex |
| #Nonzeros in Jacobianⓘ | 1000 |
| #Nonlinear Nonzeros in Jacobianⓘ | 120 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 70 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 30 |
| #Blocks in Hessian of Lagrangianⓘ | 10 |
| 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ⓘ | 6.9722e+03 |
| Infeasibility of initial pointⓘ | 13.5 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 366 66 40 260 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 261 211 50 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1021 901 120 0
*
* Solve m using MINLP minimizing objvar;
Variables x1,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,b191,b192,b193,b194
,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206,b207
,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218,b219,b220
,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231,b232,b233
,b234,b235,b236,b237,b238,b239,b240,x241,x242,x243,x244,x245,x246
,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258,x259
,x260,objvar;
Positive Variables 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,x241,x242,x243,x244,x245,x246,x247,x248
,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258,x259,x260;
Binary Variables b191,b192,b193,b194,b195,b196,b197,b198,b199,b200,b201,b202
,b203,b204,b205,b206,b207,b208,b209,b210,b211,b212,b213,b214,b215
,b216,b217,b218,b219,b220,b221,b222,b223,b224,b225,b226,b227,b228
,b229,b230,b231,b232,b233,b234,b235,b236,b237,b238,b239,b240;
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;
e1.. - 300*x241 - 240*x242 - 210*x243 - 50*x244 - 100*x245 - 150*x246
- 30*x247 - 120*x248 - 25*x249 - 60*x250 - 300*x251 - 240*x252 - 210*x253
- 50*x254 - 100*x255 - 150*x256 - 30*x257 - 120*x258 - 25*x259 - 60*x260
+ objvar =E= 0;
e2.. - x1 + x2 + x241 =G= 0;
e3.. - x1 + x3 + x242 =G= 0;
e4.. - x1 + x4 + x243 =G= 0;
e5.. - x1 + x5 + x244 =G= 0;
e6.. - x2 + x3 + x245 =G= 0;
e7.. - x2 + x4 + x246 =G= 0;
e8.. - x2 + x5 + x247 =G= 0;
e9.. - x3 + x4 + x248 =G= 0;
e10.. - x3 + x5 + x249 =G= 0;
e11.. - x4 + x5 + x250 =G= 0;
e12.. x1 - x2 + x241 =G= 0;
e13.. x1 - x3 + x242 =G= 0;
e14.. x1 - x4 + x243 =G= 0;
e15.. x1 - x5 + x244 =G= 0;
e16.. x2 - x3 + x245 =G= 0;
e17.. x2 - x4 + x246 =G= 0;
e18.. x2 - x5 + x247 =G= 0;
e19.. x3 - x4 + x248 =G= 0;
e20.. x3 - x5 + x249 =G= 0;
e21.. x4 - x5 + x250 =G= 0;
e22.. - x6 + x7 + x251 =G= 0;
e23.. - x6 + x8 + x252 =G= 0;
e24.. - x6 + x9 + x253 =G= 0;
e25.. - x6 + x10 + x254 =G= 0;
e26.. - x7 + x8 + x255 =G= 0;
e27.. - x7 + x9 + x256 =G= 0;
e28.. - x7 + x10 + x257 =G= 0;
e29.. - x8 + x9 + x258 =G= 0;
e30.. - x8 + x10 + x259 =G= 0;
e31.. - x9 + x10 + x260 =G= 0;
e32.. x6 - x7 + x251 =G= 0;
e33.. x6 - x8 + x252 =G= 0;
e34.. x6 - x9 + x253 =G= 0;
e35.. x6 - x10 + x254 =G= 0;
e36.. x7 - x8 + x255 =G= 0;
e37.. x7 - x9 + x256 =G= 0;
e38.. x7 - x10 + x257 =G= 0;
e39.. x8 - x9 + x258 =G= 0;
e40.. x8 - x10 + x259 =G= 0;
e41.. x9 - x10 + x260 =G= 0;
e42.. x1 - x11 - x15 - x19 - x23 =E= 0;
e43.. x1 - x12 - x16 - x20 - x24 =E= 0;
e44.. x1 - x13 - x17 - x21 - x25 =E= 0;
e45.. x1 - x14 - x18 - x22 - x26 =E= 0;
e46.. x2 - x27 - x31 - x35 - x39 =E= 0;
e47.. x2 - x28 - x32 - x36 - x40 =E= 0;
e48.. x2 - x29 - x33 - x37 - x41 =E= 0;
e49.. x2 - x30 - x34 - x38 - x42 =E= 0;
e50.. x3 - x43 - x47 - x51 - x55 =E= 0;
e51.. x3 - x44 - x48 - x52 - x56 =E= 0;
e52.. x3 - x45 - x49 - x53 - x57 =E= 0;
e53.. x3 - x46 - x50 - x54 - x58 =E= 0;
e54.. x4 - x59 - x63 - x67 - x71 =E= 0;
e55.. x4 - x60 - x64 - x68 - x72 =E= 0;
e56.. x4 - x61 - x65 - x69 - x73 =E= 0;
e57.. x4 - x62 - x66 - x70 - x74 =E= 0;
e58.. x5 - x75 - x79 - x83 - x87 =E= 0;
e59.. x5 - x76 - x80 - x84 - x88 =E= 0;
e60.. x5 - x77 - x81 - x85 - x89 =E= 0;
e61.. x5 - x78 - x82 - x86 - x90 =E= 0;
e62.. x6 - x91 - x95 - x99 - x103 =E= 0;
e63.. x6 - x92 - x96 - x100 - x104 =E= 0;
e64.. x6 - x93 - x97 - x101 - x105 =E= 0;
e65.. x6 - x94 - x98 - x102 - x106 =E= 0;
e66.. x7 - x107 - x111 - x115 - x119 =E= 0;
e67.. x7 - x108 - x112 - x116 - x120 =E= 0;
e68.. x7 - x109 - x113 - x117 - x121 =E= 0;
e69.. x7 - x110 - x114 - x118 - x122 =E= 0;
e70.. x8 - x123 - x127 - x131 - x135 =E= 0;
e71.. x8 - x124 - x128 - x132 - x136 =E= 0;
e72.. x8 - x125 - x129 - x133 - x137 =E= 0;
e73.. x8 - x126 - x130 - x134 - x138 =E= 0;
e74.. x9 - x139 - x143 - x147 - x151 =E= 0;
e75.. x9 - x140 - x144 - x148 - x152 =E= 0;
e76.. x9 - x141 - x145 - x149 - x153 =E= 0;
e77.. x9 - x142 - x146 - x150 - x154 =E= 0;
e78.. x10 - x155 - x159 - x163 - x167 =E= 0;
e79.. x10 - x156 - x160 - x164 - x168 =E= 0;
e80.. x10 - x157 - x161 - x165 - x169 =E= 0;
e81.. x10 - x158 - x162 - x166 - x170 =E= 0;
e82.. x11 - 57.5*b191 =L= 0;
e83.. x12 - 57.5*b192 =L= 0;
e84.. x13 - 57.5*b193 =L= 0;
e85.. x14 - 57.5*b194 =L= 0;
e86.. x15 - 57.5*b201 =L= 0;
e87.. x16 - 57.5*b202 =L= 0;
e88.. x17 - 57.5*b203 =L= 0;
e89.. x18 - 57.5*b204 =L= 0;
e90.. x19 - 57.5*b211 =L= 0;
e91.. x20 - 57.5*b212 =L= 0;
e92.. x21 - 57.5*b213 =L= 0;
e93.. x22 - 57.5*b214 =L= 0;
e94.. x23 - 57.5*b221 =L= 0;
e95.. x24 - 57.5*b222 =L= 0;
e96.. x25 - 57.5*b223 =L= 0;
e97.. x26 - 57.5*b224 =L= 0;
e98.. x27 - 57.5*b191 =L= 0;
e99.. x28 - 56.5*b195 =L= 0;
e100.. x29 - 56.5*b196 =L= 0;
e101.. x30 - 56.5*b197 =L= 0;
e102.. x31 - 57.5*b201 =L= 0;
e103.. x32 - 56.5*b205 =L= 0;
e104.. x33 - 56.5*b206 =L= 0;
e105.. x34 - 56.5*b207 =L= 0;
e106.. x35 - 57.5*b211 =L= 0;
e107.. x36 - 56.5*b215 =L= 0;
e108.. x37 - 56.5*b216 =L= 0;
e109.. x38 - 56.5*b217 =L= 0;
e110.. x39 - 57.5*b221 =L= 0;
e111.. x40 - 56.5*b225 =L= 0;
e112.. x41 - 56.5*b226 =L= 0;
e113.. x42 - 56.5*b227 =L= 0;
e114.. x43 - 57.5*b192 =L= 0;
e115.. x44 - 56.5*b195 =L= 0;
e116.. x45 - 58.5*b198 =L= 0;
e117.. x46 - 58.5*b199 =L= 0;
e118.. x47 - 57.5*b202 =L= 0;
e119.. x48 - 56.5*b205 =L= 0;
e120.. x49 - 58.5*b208 =L= 0;
e121.. x50 - 58.5*b209 =L= 0;
e122.. x51 - 57.5*b212 =L= 0;
e123.. x52 - 56.5*b215 =L= 0;
e124.. x53 - 58.5*b218 =L= 0;
e125.. x54 - 58.5*b219 =L= 0;
e126.. x55 - 57.5*b222 =L= 0;
e127.. x56 - 56.5*b225 =L= 0;
e128.. x57 - 58.5*b228 =L= 0;
e129.. x58 - 58.5*b229 =L= 0;
e130.. x59 - 57.5*b193 =L= 0;
e131.. x60 - 56.5*b196 =L= 0;
e132.. x61 - 58.5*b198 =L= 0;
e133.. x62 - 59*b200 =L= 0;
e134.. x63 - 57.5*b203 =L= 0;
e135.. x64 - 56.5*b206 =L= 0;
e136.. x65 - 58.5*b208 =L= 0;
e137.. x66 - 59*b210 =L= 0;
e138.. x67 - 57.5*b213 =L= 0;
e139.. x68 - 56.5*b216 =L= 0;
e140.. x69 - 58.5*b218 =L= 0;
e141.. x70 - 59*b220 =L= 0;
e142.. x71 - 57.5*b223 =L= 0;
e143.. x72 - 56.5*b226 =L= 0;
e144.. x73 - 58.5*b228 =L= 0;
e145.. x74 - 59*b230 =L= 0;
e146.. x75 - 57.5*b194 =L= 0;
e147.. x76 - 56.5*b197 =L= 0;
e148.. x77 - 58.5*b199 =L= 0;
e149.. x78 - 59*b200 =L= 0;
e150.. x79 - 57.5*b204 =L= 0;
e151.. x80 - 56.5*b207 =L= 0;
e152.. x81 - 58.5*b209 =L= 0;
e153.. x82 - 59*b210 =L= 0;
e154.. x83 - 57.5*b214 =L= 0;
e155.. x84 - 56.5*b217 =L= 0;
e156.. x85 - 58.5*b219 =L= 0;
e157.. x86 - 59*b220 =L= 0;
e158.. x87 - 57.5*b224 =L= 0;
e159.. x88 - 56.5*b227 =L= 0;
e160.. x89 - 58.5*b229 =L= 0;
e161.. x90 - 59*b230 =L= 0;
e162.. x91 - 87*b191 =L= 0;
e163.. x92 - 87*b192 =L= 0;
e164.. x93 - 87*b193 =L= 0;
e165.. x94 - 87*b194 =L= 0;
e166.. x95 - 87*b201 =L= 0;
e167.. x96 - 87*b202 =L= 0;
e168.. x97 - 87*b203 =L= 0;
e169.. x98 - 87*b204 =L= 0;
e170.. x99 - 87*b211 =L= 0;
e171.. x100 - 87*b212 =L= 0;
e172.. x101 - 87*b213 =L= 0;
e173.. x102 - 87*b214 =L= 0;
e174.. x103 - 87*b221 =L= 0;
e175.. x104 - 87*b222 =L= 0;
e176.. x105 - 87*b223 =L= 0;
e177.. x106 - 87*b224 =L= 0;
e178.. x107 - 87*b191 =L= 0;
e179.. x108 - 87.5*b195 =L= 0;
e180.. x109 - 87.5*b196 =L= 0;
e181.. x110 - 87.5*b197 =L= 0;
e182.. x111 - 87*b201 =L= 0;
e183.. x112 - 87.5*b205 =L= 0;
e184.. x113 - 87.5*b206 =L= 0;
e185.. x114 - 87.5*b207 =L= 0;
e186.. x115 - 87*b211 =L= 0;
e187.. x116 - 87.5*b215 =L= 0;
e188.. x117 - 87.5*b216 =L= 0;
e189.. x118 - 87.5*b217 =L= 0;
e190.. x119 - 87*b221 =L= 0;
e191.. x120 - 87.5*b225 =L= 0;
e192.. x121 - 87.5*b226 =L= 0;
e193.. x122 - 87.5*b227 =L= 0;
e194.. x123 - 87*b192 =L= 0;
e195.. x124 - 87.5*b195 =L= 0;
e196.. x125 - 88.5*b198 =L= 0;
e197.. x126 - 88.5*b199 =L= 0;
e198.. x127 - 87*b202 =L= 0;
e199.. x128 - 87.5*b205 =L= 0;
e200.. x129 - 88.5*b208 =L= 0;
e201.. x130 - 88.5*b209 =L= 0;
e202.. x131 - 87*b212 =L= 0;
e203.. x132 - 87.5*b215 =L= 0;
e204.. x133 - 88.5*b218 =L= 0;
e205.. x134 - 88.5*b219 =L= 0;
e206.. x135 - 87*b222 =L= 0;
e207.. x136 - 87.5*b225 =L= 0;
e208.. x137 - 88.5*b228 =L= 0;
e209.. x138 - 88.5*b229 =L= 0;
e210.. x139 - 87*b193 =L= 0;
e211.. x140 - 87.5*b196 =L= 0;
e212.. x141 - 88.5*b198 =L= 0;
e213.. x142 - 88.5*b200 =L= 0;
e214.. x143 - 87*b203 =L= 0;
e215.. x144 - 87.5*b206 =L= 0;
e216.. x145 - 88.5*b208 =L= 0;
e217.. x146 - 88.5*b210 =L= 0;
e218.. x147 - 87*b213 =L= 0;
e219.. x148 - 87.5*b216 =L= 0;
e220.. x149 - 88.5*b218 =L= 0;
e221.. x150 - 88.5*b220 =L= 0;
e222.. x151 - 87*b223 =L= 0;
e223.. x152 - 87.5*b226 =L= 0;
e224.. x153 - 88.5*b228 =L= 0;
e225.. x154 - 88.5*b230 =L= 0;
e226.. x155 - 87*b194 =L= 0;
e227.. x156 - 87.5*b197 =L= 0;
e228.. x157 - 88.5*b199 =L= 0;
e229.. x158 - 88.5*b200 =L= 0;
e230.. x159 - 87*b204 =L= 0;
e231.. x160 - 87.5*b207 =L= 0;
e232.. x161 - 88.5*b209 =L= 0;
e233.. x162 - 88.5*b210 =L= 0;
e234.. x163 - 87*b214 =L= 0;
e235.. x164 - 87.5*b217 =L= 0;
e236.. x165 - 88.5*b219 =L= 0;
e237.. x166 - 88.5*b220 =L= 0;
e238.. x167 - 87*b224 =L= 0;
e239.. x168 - 87.5*b227 =L= 0;
e240.. x169 - 88.5*b229 =L= 0;
e241.. x170 - 88.5*b230 =L= 0;
e242.. x11 - x27 + 6*b191 =L= 0;
e243.. x12 - x43 + 4*b192 =L= 0;
e244.. x13 - x59 + 3.5*b193 =L= 0;
e245.. x14 - x75 + 7*b194 =L= 0;
e246.. x28 - x44 + 5*b195 =L= 0;
e247.. x29 - x60 + 4.5*b196 =L= 0;
e248.. x30 - x76 + 8*b197 =L= 0;
e249.. x45 - x61 + 2.5*b198 =L= 0;
e250.. x46 - x77 + 6*b199 =L= 0;
e251.. x62 - x78 + 5.5*b200 =L= 0;
e252.. - x15 + x31 + 6*b201 =L= 0;
e253.. - x16 + x47 + 4*b202 =L= 0;
e254.. - x17 + x63 + 3.5*b203 =L= 0;
e255.. - x18 + x79 + 7*b204 =L= 0;
e256.. - x32 + x48 + 5*b205 =L= 0;
e257.. - x33 + x64 + 4.5*b206 =L= 0;
e258.. - x34 + x80 + 8*b207 =L= 0;
e259.. - x49 + x65 + 2.5*b208 =L= 0;
e260.. - x50 + x81 + 6*b209 =L= 0;
e261.. - x66 + x82 + 5.5*b210 =L= 0;
e262.. x99 - x115 + 5.5*b211 =L= 0;
e263.. x100 - x131 + 4.5*b212 =L= 0;
e264.. x101 - x147 + 4.5*b213 =L= 0;
e265.. x102 - x163 + 6.5*b214 =L= 0;
e266.. x116 - x132 + 4*b215 =L= 0;
e267.. x117 - x148 + 4*b216 =L= 0;
e268.. x118 - x164 + 6*b217 =L= 0;
e269.. x133 - x149 + 3*b218 =L= 0;
e270.. x134 - x165 + 5*b219 =L= 0;
e271.. x150 - x166 + 5*b220 =L= 0;
e272.. - x103 + x119 + 5.5*b221 =L= 0;
e273.. - x104 + x135 + 4.5*b222 =L= 0;
e274.. - x105 + x151 + 4.5*b223 =L= 0;
e275.. - x106 + x167 + 6.5*b224 =L= 0;
e276.. - x120 + x136 + 4*b225 =L= 0;
e277.. - x121 + x152 + 4*b226 =L= 0;
e278.. - x122 + x168 + 6*b227 =L= 0;
e279.. - x137 + x153 + 3*b228 =L= 0;
e280.. - x138 + x169 + 5*b229 =L= 0;
e281.. - x154 + x170 + 5*b230 =L= 0;
e282.. b191 + b201 + b211 + b221 =E= 1;
e283.. b192 + b202 + b212 + b222 =E= 1;
e284.. b193 + b203 + b213 + b223 =E= 1;
e285.. b194 + b204 + b214 + b224 =E= 1;
e286.. b195 + b205 + b215 + b225 =E= 1;
e287.. b196 + b206 + b216 + b226 =E= 1;
e288.. b197 + b207 + b217 + b227 =E= 1;
e289.. b198 + b208 + b218 + b228 =E= 1;
e290.. b199 + b209 + b219 + b229 =E= 1;
e291.. b200 + b210 + b220 + b230 =E= 1;
e292.. x1 - x171 - x176 =E= 0;
e293.. x2 - x172 - x177 =E= 0;
e294.. x3 - x173 - x178 =E= 0;
e295.. x4 - x174 - x179 =E= 0;
e296.. x5 - x175 - x180 =E= 0;
e297.. x6 - x181 - x186 =E= 0;
e298.. x7 - x182 - x187 =E= 0;
e299.. x8 - x183 - x188 =E= 0;
e300.. x9 - x184 - x189 =E= 0;
e301.. x10 - x185 - x190 =E= 0;
e302.. x171 - 18.5*b231 =L= 0;
e303.. x172 - 17.5*b232 =L= 0;
e304.. x173 - 19.5*b233 =L= 0;
e305.. x174 - 20*b234 =L= 0;
e306.. x175 - 16.5*b235 =L= 0;
e307.. x176 - 57.5*b236 =L= 0;
e308.. x177 - 56.5*b237 =L= 0;
e309.. x178 - 58.5*b238 =L= 0;
e310.. x179 - 59*b239 =L= 0;
e311.. x180 - 55.5*b240 =L= 0;
e312.. x181 - 13*b231 =L= 0;
e313.. x182 - 13.5*b232 =L= 0;
e314.. x183 - 14.5*b233 =L= 0;
e315.. x184 - 14.5*b234 =L= 0;
e316.. x185 - 12.5*b235 =L= 0;
e317.. x186 - 87*b236 =L= 0;
e318.. x187 - 87.5*b237 =L= 0;
e319.. x188 - 88.5*b238 =L= 0;
e320.. x189 - 88.5*b239 =L= 0;
e321.. x190 - 86.5*b240 =L= 0;
e322.. (sqr(x171/(1e-6 + b231)) - 35*x171/(1e-6 + b231) + 306.25*b231 + sqr(
x181/(1e-6 + b231)) - 14*x181/(1e-6 + b231) + 49*b231 - 36*b231)*(1e-6
+ b231) =L= 0;
e323.. (sqr(x172/(1e-6 + b232)) - 37*x172/(1e-6 + b232) + 342.25*b232 + sqr(
x182/(1e-6 + b232)) - 15*x182/(1e-6 + b232) + 56.25*b232 - 36*b232)*(
1e-6 + b232) =L= 0;
e324.. (sqr(x173/(1e-6 + b233)) - 33*x173/(1e-6 + b233) + 272.25*b233 + sqr(
x183/(1e-6 + b233)) - 17*x183/(1e-6 + b233) + 72.25*b233 - 36*b233)*(
1e-6 + b233) =L= 0;
e325.. (sqr(x174/(1e-6 + b234)) - 32*x174/(1e-6 + b234) + 256*b234 + sqr(x184/(
1e-6 + b234)) - 17*x184/(1e-6 + b234) + 72.25*b234 - 36*b234)*(1e-6 +
b234) =L= 0;
e326.. (sqr(x175/(1e-6 + b235)) - 39*x175/(1e-6 + b235) + 380.25*b235 + sqr(
x185/(1e-6 + b235)) - 13*x185/(1e-6 + b235) + 42.25*b235 - 36*b235)*(
1e-6 + b235) =L= 0;
e327.. (sqr(x176/(1e-6 + b236)) - 105*x176/(1e-6 + b236) + 2756.25*b236 + sqr(
x186/(1e-6 + b236)) - 154*x186/(1e-6 + b236) + 5929*b236 - 100*b236)*(
1e-6 + b236) =L= 0;
e328.. (sqr(x177/(1e-6 + b237)) - 107*x177/(1e-6 + b237) + 2862.25*b237 + sqr(
x187/(1e-6 + b237)) - 155*x187/(1e-6 + b237) + 6006.25*b237 - 100*b237)*
(1e-6 + b237) =L= 0;
e329.. (sqr(x178/(1e-6 + b238)) - 103*x178/(1e-6 + b238) + 2652.25*b238 + sqr(
x188/(1e-6 + b238)) - 157*x188/(1e-6 + b238) + 6162.25*b238 - 100*b238)*
(1e-6 + b238) =L= 0;
e330.. (sqr(x179/(1e-6 + b239)) - 102*x179/(1e-6 + b239) + 2601*b239 + sqr(x189
/(1e-6 + b239)) - 157*x189/(1e-6 + b239) + 6162.25*b239 - 100*b239)*(
1e-6 + b239) =L= 0;
e331.. (sqr(x180/(1e-6 + b240)) - 109*x180/(1e-6 + b240) + 2970.25*b240 + sqr(
x190/(1e-6 + b240)) - 153*x190/(1e-6 + b240) + 5852.25*b240 - 100*b240)*
(1e-6 + b240) =L= 0;
e332.. (sqr(x171/(1e-6 + b231)) - 35*x171/(1e-6 + b231) + 306.25*b231 + sqr(
x181/(1e-6 + b231)) - 26*x181/(1e-6 + b231) + 169*b231 - 36*b231)*(1e-6
+ b231) =L= 0;
e333.. (sqr(x172/(1e-6 + b232)) - 37*x172/(1e-6 + b232) + 342.25*b232 + sqr(
x182/(1e-6 + b232)) - 25*x182/(1e-6 + b232) + 156.25*b232 - 36*b232)*(
1e-6 + b232) =L= 0;
e334.. (sqr(x173/(1e-6 + b233)) - 33*x173/(1e-6 + b233) + 272.25*b233 + sqr(
x183/(1e-6 + b233)) - 23*x183/(1e-6 + b233) + 132.25*b233 - 36*b233)*(
1e-6 + b233) =L= 0;
e335.. (sqr(x174/(1e-6 + b234)) - 32*x174/(1e-6 + b234) + 256*b234 + sqr(x184/(
1e-6 + b234)) - 23*x184/(1e-6 + b234) + 132.25*b234 - 36*b234)*(1e-6 +
b234) =L= 0;
e336.. (sqr(x175/(1e-6 + b235)) - 39*x175/(1e-6 + b235) + 380.25*b235 + sqr(
x185/(1e-6 + b235)) - 27*x185/(1e-6 + b235) + 182.25*b235 - 36*b235)*(
1e-6 + b235) =L= 0;
e337.. (sqr(x176/(1e-6 + b236)) - 105*x176/(1e-6 + b236) + 2756.25*b236 + sqr(
x186/(1e-6 + b236)) - 166*x186/(1e-6 + b236) + 6889*b236 - 100*b236)*(
1e-6 + b236) =L= 0;
e338.. (sqr(x177/(1e-6 + b237)) - 107*x177/(1e-6 + b237) + 2862.25*b237 + sqr(
x187/(1e-6 + b237)) - 165*x187/(1e-6 + b237) + 6806.25*b237 - 100*b237)*
(1e-6 + b237) =L= 0;
e339.. (sqr(x178/(1e-6 + b238)) - 103*x178/(1e-6 + b238) + 2652.25*b238 + sqr(
x188/(1e-6 + b238)) - 163*x188/(1e-6 + b238) + 6642.25*b238 - 100*b238)*
(1e-6 + b238) =L= 0;
e340.. (sqr(x179/(1e-6 + b239)) - 102*x179/(1e-6 + b239) + 2601*b239 + sqr(x189
/(1e-6 + b239)) - 163*x189/(1e-6 + b239) + 6642.25*b239 - 100*b239)*(
1e-6 + b239) =L= 0;
e341.. (sqr(x180/(1e-6 + b240)) - 109*x180/(1e-6 + b240) + 2970.25*b240 + sqr(
x190/(1e-6 + b240)) - 167*x190/(1e-6 + b240) + 6972.25*b240 - 100*b240)*
(1e-6 + b240) =L= 0;
e342.. (sqr(x171/(1e-6 + b231)) - 25*x171/(1e-6 + b231) + 156.25*b231 + sqr(
x181/(1e-6 + b231)) - 14*x181/(1e-6 + b231) + 49*b231 - 36*b231)*(1e-6
+ b231) =L= 0;
e343.. (sqr(x172/(1e-6 + b232)) - 23*x172/(1e-6 + b232) + 132.25*b232 + sqr(
x182/(1e-6 + b232)) - 15*x182/(1e-6 + b232) + 56.25*b232 - 36*b232)*(
1e-6 + b232) =L= 0;
e344.. (sqr(x173/(1e-6 + b233)) - 27*x173/(1e-6 + b233) + 182.25*b233 + sqr(
x183/(1e-6 + b233)) - 17*x183/(1e-6 + b233) + 72.25*b233 - 36*b233)*(
1e-6 + b233) =L= 0;
e345.. (sqr(x174/(1e-6 + b234)) - 28*x174/(1e-6 + b234) + 196*b234 + sqr(x184/(
1e-6 + b234)) - 17*x184/(1e-6 + b234) + 72.25*b234 - 36*b234)*(1e-6 +
b234) =L= 0;
e346.. (sqr(x175/(1e-6 + b235)) - 21*x175/(1e-6 + b235) + 110.25*b235 + sqr(
x185/(1e-6 + b235)) - 13*x185/(1e-6 + b235) + 42.25*b235 - 36*b235)*(
1e-6 + b235) =L= 0;
e347.. (sqr(x176/(1e-6 + b236)) - 95*x176/(1e-6 + b236) + 2256.25*b236 + sqr(
x186/(1e-6 + b236)) - 154*x186/(1e-6 + b236) + 5929*b236 - 100*b236)*(
1e-6 + b236) =L= 0;
e348.. (sqr(x177/(1e-6 + b237)) - 93*x177/(1e-6 + b237) + 2162.25*b237 + sqr(
x187/(1e-6 + b237)) - 155*x187/(1e-6 + b237) + 6006.25*b237 - 100*b237)*
(1e-6 + b237) =L= 0;
e349.. (sqr(x178/(1e-6 + b238)) - 97*x178/(1e-6 + b238) + 2352.25*b238 + sqr(
x188/(1e-6 + b238)) - 157*x188/(1e-6 + b238) + 6162.25*b238 - 100*b238)*
(1e-6 + b238) =L= 0;
e350.. (sqr(x179/(1e-6 + b239)) - 98*x179/(1e-6 + b239) + 2401*b239 + sqr(x189/
(1e-6 + b239)) - 157*x189/(1e-6 + b239) + 6162.25*b239 - 100*b239)*(1e-6
+ b239) =L= 0;
e351.. (sqr(x180/(1e-6 + b240)) - 91*x180/(1e-6 + b240) + 2070.25*b240 + sqr(
x190/(1e-6 + b240)) - 153*x190/(1e-6 + b240) + 5852.25*b240 - 100*b240)*
(1e-6 + b240) =L= 0;
e352.. (sqr(x171/(1e-6 + b231)) - 25*x171/(1e-6 + b231) + 156.25*b231 + sqr(
x181/(1e-6 + b231)) - 26*x181/(1e-6 + b231) + 169*b231 - 36*b231)*(1e-6
+ b231) =L= 0;
e353.. (sqr(x172/(1e-6 + b232)) - 23*x172/(1e-6 + b232) + 132.25*b232 + sqr(
x182/(1e-6 + b232)) - 25*x182/(1e-6 + b232) + 156.25*b232 - 36*b232)*(
1e-6 + b232) =L= 0;
e354.. (sqr(x173/(1e-6 + b233)) - 27*x173/(1e-6 + b233) + 182.25*b233 + sqr(
x183/(1e-6 + b233)) - 23*x183/(1e-6 + b233) + 132.25*b233 - 36*b233)*(
1e-6 + b233) =L= 0;
e355.. (sqr(x174/(1e-6 + b234)) - 28*x174/(1e-6 + b234) + 196*b234 + sqr(x184/(
1e-6 + b234)) - 23*x184/(1e-6 + b234) + 132.25*b234 - 36*b234)*(1e-6 +
b234) =L= 0;
e356.. (sqr(x175/(1e-6 + b235)) - 21*x175/(1e-6 + b235) + 110.25*b235 + sqr(
x185/(1e-6 + b235)) - 27*x185/(1e-6 + b235) + 182.25*b235 - 36*b235)*(
1e-6 + b235) =L= 0;
e357.. (sqr(x176/(1e-6 + b236)) - 95*x176/(1e-6 + b236) + 2256.25*b236 + sqr(
x186/(1e-6 + b236)) - 166*x186/(1e-6 + b236) + 6889*b236 - 100*b236)*(
1e-6 + b236) =L= 0;
e358.. (sqr(x177/(1e-6 + b237)) - 93*x177/(1e-6 + b237) + 2162.25*b237 + sqr(
x187/(1e-6 + b237)) - 165*x187/(1e-6 + b237) + 6806.25*b237 - 100*b237)*
(1e-6 + b237) =L= 0;
e359.. (sqr(x178/(1e-6 + b238)) - 97*x178/(1e-6 + b238) + 2352.25*b238 + sqr(
x188/(1e-6 + b238)) - 163*x188/(1e-6 + b238) + 6642.25*b238 - 100*b238)*
(1e-6 + b238) =L= 0;
e360.. (sqr(x179/(1e-6 + b239)) - 98*x179/(1e-6 + b239) + 2401*b239 + sqr(x189/
(1e-6 + b239)) - 163*x189/(1e-6 + b239) + 6642.25*b239 - 100*b239)*(1e-6
+ b239) =L= 0;
e361.. (sqr(x180/(1e-6 + b240)) - 91*x180/(1e-6 + b240) + 2070.25*b240 + sqr(
x190/(1e-6 + b240)) - 167*x190/(1e-6 + b240) + 6972.25*b240 - 100*b240)*
(1e-6 + b240) =L= 0;
e362.. b231 + b236 =E= 1;
e363.. b232 + b237 =E= 1;
e364.. b233 + b238 =E= 1;
e365.. b234 + b239 =E= 1;
e366.. b235 + b240 =E= 1;
* set non-default bounds
x1.lo = 11.5; x1.up = 57.5;
x2.lo = 12.5; x2.up = 56.5;
x3.lo = 10.5; x3.up = 58.5;
x4.lo = 10; x4.up = 59;
x5.lo = 13.5; x5.up = 55.5;
x6.lo = 7; x6.up = 87;
x7.lo = 6.5; x7.up = 87.5;
x8.lo = 5.5; x8.up = 88.5;
x9.lo = 5.5; x9.up = 88.5;
x10.lo = 7.5; x10.up = 86.5;
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% minimizing objvar;
Last updated: 2025-08-07 Git hash: e62cedfc