MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance fo9
Facility Layout
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 23.46428544 (ALPHAECP) 23.46428571 (ANTIGONE) 23.46428267 (BARON) 7.40577774 (BONMIN) 7.99264055 (COUENNE) 16.38333333 (LINDO) 23.46428571 (SCIP) 23.46426104 (SHOT) |
| Referencesⓘ | Westerlund, Tapio and Lundqvist, Kurt, Alpha-ECP, Version 5.01 An Interactive MINLP-Solver Based on the Extended Cutting Plane Method, Tech. Rep. 01-178-A, Process Design Laboratory at Abo University, 2001. |
| Applicationⓘ | Layout |
| Added to libraryⓘ | 26 Oct 2004 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 182 |
| #Binary Variablesⓘ | 72 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 18 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 16 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 343 |
| #Linear Constraintsⓘ | 325 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 18 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | convex |
| #Nonzeros in Jacobianⓘ | 1424 |
| #Nonlinear Nonzeros in Jacobianⓘ | 18 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 18 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 18 |
| #Blocks in Hessian of Lagrangianⓘ | 18 |
| 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ⓘ | 3.6000e+01 |
| Infeasibility of initial pointⓘ | 9 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 344 1 0 343 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 183 111 72 0 0 0 0 0
* FX 2
*
* Nonzero counts
* Total const NL DLL
* 1441 1423 18 0
*
* Solve m using MINLP minimizing objvar;
Variables b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18,b19
,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35,b36
,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52,b53
,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69,b70
,b71,b72,objvar,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;
Binary Variables b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17
,b18,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34
,b35,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51
,b52,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68
,b69,b70,b71,b72;
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;
e1.. objvar - x74 - x75 - x90 - x91 - x104 - x105 - x116 - x117 - x126
- x127 - x134 - x135 - x140 - x141 - x144 - x145 =E= 0;
e2.. x166 - x167 =L= 0;
e3.. 0.5*x146 - x155 + x166 =L= 0;
e4.. 0.5*x146 - x166 =L= 0;
e5.. 0.5*x156 - x165 + x175 =L= 0;
e6.. 0.5*x156 - x175 =L= 0;
e7.. 0.5*x147 - x155 + x167 =L= 0;
e8.. 0.5*x147 - x167 =L= 0;
e9.. 0.5*x157 - x165 + x176 =L= 0;
e10.. 0.5*x157 - x176 =L= 0;
e11.. 0.5*x148 - x155 + x168 =L= 0;
e12.. 0.5*x148 - x168 =L= 0;
e13.. 0.5*x158 - x165 + x177 =L= 0;
e14.. 0.5*x158 - x177 =L= 0;
e15.. 0.5*x149 - x155 + x169 =L= 0;
e16.. 0.5*x149 - x169 =L= 0;
e17.. 0.5*x159 - x165 + x178 =L= 0;
e18.. 0.5*x159 - x178 =L= 0;
e19.. 0.5*x150 - x155 + x170 =L= 0;
e20.. 0.5*x150 - x170 =L= 0;
e21.. 0.5*x160 - x165 + x179 =L= 0;
e22.. 0.5*x160 - x179 =L= 0;
e23.. 0.5*x151 - x155 + x171 =L= 0;
e24.. 0.5*x151 - x171 =L= 0;
e25.. 0.5*x161 - x165 + x180 =L= 0;
e26.. 0.5*x161 - x180 =L= 0;
e27.. 0.5*x152 - x155 + x172 =L= 0;
e28.. 0.5*x152 - x172 =L= 0;
e29.. 0.5*x162 - x165 + x181 =L= 0;
e30.. 0.5*x162 - x181 =L= 0;
e31.. 0.5*x153 - x155 + x173 =L= 0;
e32.. 0.5*x153 - x173 =L= 0;
e33.. 0.5*x163 - x165 + x182 =L= 0;
e34.. 0.5*x163 - x182 =L= 0;
e35.. 0.5*x154 - x155 + x174 =L= 0;
e36.. 0.5*x154 - x174 =L= 0;
e37.. 0.5*x164 - x165 + x183 =L= 0;
e38.. 0.5*x164 - x183 =L= 0;
e39.. - x74 + x166 - x167 =L= 0;
e40.. - x74 - x166 + x167 =L= 0;
e41.. - x75 + x175 - x176 =L= 0;
e42.. - x75 - x175 + x176 =L= 0;
e43.. - 12*b1 - 12*b2 + 0.5*x146 + 0.5*x147 - x166 + x167 =L= 0;
e44.. - 12*b1 + 12*b2 + 0.5*x146 + 0.5*x147 + x166 - x167 =L= 12;
e45.. 13*b1 - 13*b2 + 0.5*x156 + 0.5*x157 - x175 + x176 =L= 13;
e46.. 13*b1 + 13*b2 + 0.5*x156 + 0.5*x157 + x175 - x176 =L= 26;
e47.. - x76 + x166 - x168 =L= 0;
e48.. - x76 - x166 + x168 =L= 0;
e49.. - x77 + x175 - x177 =L= 0;
e50.. - x77 - x175 + x177 =L= 0;
e51.. - 12*b3 - 12*b4 + 0.5*x146 + 0.5*x148 - x166 + x168 =L= 0;
e52.. - 12*b3 + 12*b4 + 0.5*x146 + 0.5*x148 + x166 - x168 =L= 12;
e53.. 13*b3 - 13*b4 + 0.5*x156 + 0.5*x158 - x175 + x177 =L= 13;
e54.. 13*b3 + 13*b4 + 0.5*x156 + 0.5*x158 + x175 - x177 =L= 26;
e55.. - x78 + x166 - x169 =L= 0;
e56.. - x78 - x166 + x169 =L= 0;
e57.. - x79 + x175 - x178 =L= 0;
e58.. - x79 - x175 + x178 =L= 0;
e59.. - 12*b5 - 12*b6 + 0.5*x146 + 0.5*x149 - x166 + x169 =L= 0;
e60.. - 12*b5 + 12*b6 + 0.5*x146 + 0.5*x149 + x166 - x169 =L= 12;
e61.. 13*b5 - 13*b6 + 0.5*x156 + 0.5*x159 - x175 + x178 =L= 13;
e62.. 13*b5 + 13*b6 + 0.5*x156 + 0.5*x159 + x175 - x178 =L= 26;
e63.. - x80 + x166 - x170 =L= 0;
e64.. - x80 - x166 + x170 =L= 0;
e65.. - x81 + x175 - x179 =L= 0;
e66.. - x81 - x175 + x179 =L= 0;
e67.. - 12*b7 - 12*b8 + 0.5*x146 + 0.5*x150 - x166 + x170 =L= 0;
e68.. - 12*b7 + 12*b8 + 0.5*x146 + 0.5*x150 + x166 - x170 =L= 12;
e69.. 13*b7 - 13*b8 + 0.5*x156 + 0.5*x160 - x175 + x179 =L= 13;
e70.. 13*b7 + 13*b8 + 0.5*x156 + 0.5*x160 + x175 - x179 =L= 26;
e71.. - x82 + x166 - x171 =L= 0;
e72.. - x82 - x166 + x171 =L= 0;
e73.. - x83 + x175 - x180 =L= 0;
e74.. - x83 - x175 + x180 =L= 0;
e75.. - 12*b9 - 12*b10 + 0.5*x146 + 0.5*x151 - x166 + x171 =L= 0;
e76.. - 12*b9 + 12*b10 + 0.5*x146 + 0.5*x151 + x166 - x171 =L= 12;
e77.. 13*b9 - 13*b10 + 0.5*x156 + 0.5*x161 - x175 + x180 =L= 13;
e78.. 13*b9 + 13*b10 + 0.5*x156 + 0.5*x161 + x175 - x180 =L= 26;
e79.. - x84 + x166 - x172 =L= 0;
e80.. - x84 - x166 + x172 =L= 0;
e81.. - x85 + x175 - x181 =L= 0;
e82.. - x85 - x175 + x181 =L= 0;
e83.. - 12*b11 - 12*b12 + 0.5*x146 + 0.5*x152 - x166 + x172 =L= 0;
e84.. - 12*b11 + 12*b12 + 0.5*x146 + 0.5*x152 + x166 - x172 =L= 12;
e85.. 13*b11 - 13*b12 + 0.5*x156 + 0.5*x162 - x175 + x181 =L= 13;
e86.. 13*b11 + 13*b12 + 0.5*x156 + 0.5*x162 + x175 - x181 =L= 26;
e87.. - x86 + x166 - x173 =L= 0;
e88.. - x86 - x166 + x173 =L= 0;
e89.. - x87 + x175 - x182 =L= 0;
e90.. - x87 - x175 + x182 =L= 0;
e91.. - 12*b13 - 12*b14 + 0.5*x146 + 0.5*x153 - x166 + x173 =L= 0;
e92.. - 12*b13 + 12*b14 + 0.5*x146 + 0.5*x153 + x166 - x173 =L= 12;
e93.. 13*b13 - 13*b14 + 0.5*x156 + 0.5*x163 - x175 + x182 =L= 13;
e94.. 13*b13 + 13*b14 + 0.5*x156 + 0.5*x163 + x175 - x182 =L= 26;
e95.. - x88 + x166 - x174 =L= 0;
e96.. - x88 - x166 + x174 =L= 0;
e97.. - x89 + x175 - x183 =L= 0;
e98.. - x89 - x175 + x183 =L= 0;
e99.. - 12*b15 - 12*b16 + 0.5*x146 + 0.5*x154 - x166 + x174 =L= 0;
e100.. - 12*b15 + 12*b16 + 0.5*x146 + 0.5*x154 + x166 - x174 =L= 12;
e101.. 13*b15 - 13*b16 + 0.5*x156 + 0.5*x164 - x175 + x183 =L= 13;
e102.. 13*b15 + 13*b16 + 0.5*x156 + 0.5*x164 + x175 - x183 =L= 26;
e103.. - x90 + x167 - x168 =L= 0;
e104.. - x90 - x167 + x168 =L= 0;
e105.. - x91 + x176 - x177 =L= 0;
e106.. - x91 - x176 + x177 =L= 0;
e107.. - 12*b17 - 12*b18 + 0.5*x147 + 0.5*x148 - x167 + x168 =L= 0;
e108.. - 12*b17 + 12*b18 + 0.5*x147 + 0.5*x148 + x167 - x168 =L= 12;
e109.. 13*b17 - 13*b18 + 0.5*x157 + 0.5*x158 - x176 + x177 =L= 13;
e110.. 13*b17 + 13*b18 + 0.5*x157 + 0.5*x158 + x176 - x177 =L= 26;
e111.. - x92 + x167 - x169 =L= 0;
e112.. - x92 - x167 + x169 =L= 0;
e113.. - x93 + x176 - x178 =L= 0;
e114.. - x93 - x176 + x178 =L= 0;
e115.. - 12*b19 - 12*b20 + 0.5*x147 + 0.5*x149 - x167 + x169 =L= 0;
e116.. - 12*b19 + 12*b20 + 0.5*x147 + 0.5*x149 + x167 - x169 =L= 12;
e117.. 13*b19 - 13*b20 + 0.5*x157 + 0.5*x159 - x176 + x178 =L= 13;
e118.. 13*b19 + 13*b20 + 0.5*x157 + 0.5*x159 + x176 - x178 =L= 26;
e119.. - x94 + x167 - x170 =L= 0;
e120.. - x94 - x167 + x170 =L= 0;
e121.. - x95 + x176 - x179 =L= 0;
e122.. - x95 - x176 + x179 =L= 0;
e123.. - 12*b21 - 12*b22 + 0.5*x147 + 0.5*x150 - x167 + x170 =L= 0;
e124.. - 12*b21 + 12*b22 + 0.5*x147 + 0.5*x150 + x167 - x170 =L= 12;
e125.. 13*b21 - 13*b22 + 0.5*x157 + 0.5*x160 - x176 + x179 =L= 13;
e126.. 13*b21 + 13*b22 + 0.5*x157 + 0.5*x160 + x176 - x179 =L= 26;
e127.. - x96 + x167 - x171 =L= 0;
e128.. - x96 - x167 + x171 =L= 0;
e129.. - x97 + x176 - x180 =L= 0;
e130.. - x97 - x176 + x180 =L= 0;
e131.. - 12*b23 - 12*b24 + 0.5*x147 + 0.5*x151 - x167 + x171 =L= 0;
e132.. - 12*b23 + 12*b24 + 0.5*x147 + 0.5*x151 + x167 - x171 =L= 12;
e133.. 13*b23 - 13*b24 + 0.5*x157 + 0.5*x161 - x176 + x180 =L= 13;
e134.. 13*b23 + 13*b24 + 0.5*x157 + 0.5*x161 + x176 - x180 =L= 26;
e135.. - x98 + x167 - x172 =L= 0;
e136.. - x98 - x167 + x172 =L= 0;
e137.. - x99 + x176 - x181 =L= 0;
e138.. - x99 - x176 + x181 =L= 0;
e139.. - 12*b25 - 12*b26 + 0.5*x147 + 0.5*x152 - x167 + x172 =L= 0;
e140.. - 12*b25 + 12*b26 + 0.5*x147 + 0.5*x152 + x167 - x172 =L= 12;
e141.. 13*b25 - 13*b26 + 0.5*x157 + 0.5*x162 - x176 + x181 =L= 13;
e142.. 13*b25 + 13*b26 + 0.5*x157 + 0.5*x162 + x176 - x181 =L= 26;
e143.. - x100 + x167 - x173 =L= 0;
e144.. - x100 - x167 + x173 =L= 0;
e145.. - x101 + x176 - x182 =L= 0;
e146.. - x101 - x176 + x182 =L= 0;
e147.. - 12*b27 - 12*b28 + 0.5*x147 + 0.5*x153 - x167 + x173 =L= 0;
e148.. - 12*b27 + 12*b28 + 0.5*x147 + 0.5*x153 + x167 - x173 =L= 12;
e149.. 13*b27 - 13*b28 + 0.5*x157 + 0.5*x163 - x176 + x182 =L= 13;
e150.. 13*b27 + 13*b28 + 0.5*x157 + 0.5*x163 + x176 - x182 =L= 26;
e151.. - x102 + x167 - x174 =L= 0;
e152.. - x102 - x167 + x174 =L= 0;
e153.. - x103 + x176 - x183 =L= 0;
e154.. - x103 - x176 + x183 =L= 0;
e155.. - 12*b29 - 12*b30 + 0.5*x147 + 0.5*x154 - x167 + x174 =L= 0;
e156.. - 12*b29 + 12*b30 + 0.5*x147 + 0.5*x154 + x167 - x174 =L= 12;
e157.. 13*b29 - 13*b30 + 0.5*x157 + 0.5*x164 - x176 + x183 =L= 13;
e158.. 13*b29 + 13*b30 + 0.5*x157 + 0.5*x164 + x176 - x183 =L= 26;
e159.. - x104 + x168 - x169 =L= 0;
e160.. - x104 - x168 + x169 =L= 0;
e161.. - x105 + x177 - x178 =L= 0;
e162.. - x105 - x177 + x178 =L= 0;
e163.. - 12*b31 - 12*b32 + 0.5*x148 + 0.5*x149 - x168 + x169 =L= 0;
e164.. - 12*b31 + 12*b32 + 0.5*x148 + 0.5*x149 + x168 - x169 =L= 12;
e165.. 13*b31 - 13*b32 + 0.5*x158 + 0.5*x159 - x177 + x178 =L= 13;
e166.. 13*b31 + 13*b32 + 0.5*x158 + 0.5*x159 + x177 - x178 =L= 26;
e167.. - x106 + x168 - x170 =L= 0;
e168.. - x106 - x168 + x170 =L= 0;
e169.. - x107 + x177 - x179 =L= 0;
e170.. - x107 - x177 + x179 =L= 0;
e171.. - 12*b33 - 12*b34 + 0.5*x148 + 0.5*x150 - x168 + x170 =L= 0;
e172.. - 12*b33 + 12*b34 + 0.5*x148 + 0.5*x150 + x168 - x170 =L= 12;
e173.. 13*b33 - 13*b34 + 0.5*x158 + 0.5*x160 - x177 + x179 =L= 13;
e174.. 13*b33 + 13*b34 + 0.5*x158 + 0.5*x160 + x177 - x179 =L= 26;
e175.. - x108 + x168 - x171 =L= 0;
e176.. - x108 - x168 + x171 =L= 0;
e177.. - x109 + x177 - x180 =L= 0;
e178.. - x109 - x177 + x180 =L= 0;
e179.. - 12*b35 - 12*b36 + 0.5*x148 + 0.5*x151 - x168 + x171 =L= 0;
e180.. - 12*b35 + 12*b36 + 0.5*x148 + 0.5*x151 + x168 - x171 =L= 12;
e181.. 13*b35 - 13*b36 + 0.5*x158 + 0.5*x161 - x177 + x180 =L= 13;
e182.. 13*b35 + 13*b36 + 0.5*x158 + 0.5*x161 + x177 - x180 =L= 26;
e183.. - x110 + x168 - x172 =L= 0;
e184.. - x110 - x168 + x172 =L= 0;
e185.. - x111 + x177 - x181 =L= 0;
e186.. - x111 - x177 + x181 =L= 0;
e187.. - 12*b37 - 12*b38 + 0.5*x148 + 0.5*x152 - x168 + x172 =L= 0;
e188.. - 12*b37 + 12*b38 + 0.5*x148 + 0.5*x152 + x168 - x172 =L= 12;
e189.. 13*b37 - 13*b38 + 0.5*x158 + 0.5*x162 - x177 + x181 =L= 13;
e190.. 13*b37 + 13*b38 + 0.5*x158 + 0.5*x162 + x177 - x181 =L= 26;
e191.. - x112 + x168 - x173 =L= 0;
e192.. - x112 - x168 + x173 =L= 0;
e193.. - x113 + x177 - x182 =L= 0;
e194.. - x113 - x177 + x182 =L= 0;
e195.. - 12*b39 - 12*b40 + 0.5*x148 + 0.5*x153 - x168 + x173 =L= 0;
e196.. - 12*b39 + 12*b40 + 0.5*x148 + 0.5*x153 + x168 - x173 =L= 12;
e197.. 13*b39 - 13*b40 + 0.5*x158 + 0.5*x163 - x177 + x182 =L= 13;
e198.. 13*b39 + 13*b40 + 0.5*x158 + 0.5*x163 + x177 - x182 =L= 26;
e199.. - x114 + x168 - x174 =L= 0;
e200.. - x114 - x168 + x174 =L= 0;
e201.. - x115 + x177 - x183 =L= 0;
e202.. - x115 - x177 + x183 =L= 0;
e203.. - 12*b41 - 12*b42 + 0.5*x148 + 0.5*x154 - x168 + x174 =L= 0;
e204.. - 12*b41 + 12*b42 + 0.5*x148 + 0.5*x154 + x168 - x174 =L= 12;
e205.. 13*b41 - 13*b42 + 0.5*x158 + 0.5*x164 - x177 + x183 =L= 13;
e206.. 13*b41 + 13*b42 + 0.5*x158 + 0.5*x164 + x177 - x183 =L= 26;
e207.. - x116 + x169 - x170 =L= 0;
e208.. - x116 - x169 + x170 =L= 0;
e209.. - x117 + x178 - x179 =L= 0;
e210.. - x117 - x178 + x179 =L= 0;
e211.. - 12*b43 - 12*b44 + 0.5*x149 + 0.5*x150 - x169 + x170 =L= 0;
e212.. - 12*b43 + 12*b44 + 0.5*x149 + 0.5*x150 + x169 - x170 =L= 12;
e213.. 13*b43 - 13*b44 + 0.5*x159 + 0.5*x160 - x178 + x179 =L= 13;
e214.. 13*b43 + 13*b44 + 0.5*x159 + 0.5*x160 + x178 - x179 =L= 26;
e215.. - x118 + x169 - x171 =L= 0;
e216.. - x118 - x169 + x171 =L= 0;
e217.. - x119 + x178 - x180 =L= 0;
e218.. - x119 - x178 + x180 =L= 0;
e219.. - 12*b45 - 12*b46 + 0.5*x149 + 0.5*x151 - x169 + x171 =L= 0;
e220.. - 12*b45 + 12*b46 + 0.5*x149 + 0.5*x151 + x169 - x171 =L= 12;
e221.. 13*b45 - 13*b46 + 0.5*x159 + 0.5*x161 - x178 + x180 =L= 13;
e222.. 13*b45 + 13*b46 + 0.5*x159 + 0.5*x161 + x178 - x180 =L= 26;
e223.. - x120 + x169 - x172 =L= 0;
e224.. - x120 - x169 + x172 =L= 0;
e225.. - x121 + x178 - x181 =L= 0;
e226.. - x121 - x178 + x181 =L= 0;
e227.. - 12*b47 - 12*b48 + 0.5*x149 + 0.5*x152 - x169 + x172 =L= 0;
e228.. - 12*b47 + 12*b48 + 0.5*x149 + 0.5*x152 + x169 - x172 =L= 12;
e229.. 13*b47 - 13*b48 + 0.5*x159 + 0.5*x162 - x178 + x181 =L= 13;
e230.. 13*b47 + 13*b48 + 0.5*x159 + 0.5*x162 + x178 - x181 =L= 26;
e231.. - x122 + x169 - x173 =L= 0;
e232.. - x122 - x169 + x173 =L= 0;
e233.. - x123 + x178 - x182 =L= 0;
e234.. - x123 - x178 + x182 =L= 0;
e235.. - 12*b49 - 12*b50 + 0.5*x149 + 0.5*x153 - x169 + x173 =L= 0;
e236.. - 12*b49 + 12*b50 + 0.5*x149 + 0.5*x153 + x169 - x173 =L= 12;
e237.. 13*b49 - 13*b50 + 0.5*x159 + 0.5*x163 - x178 + x182 =L= 13;
e238.. 13*b49 + 13*b50 + 0.5*x159 + 0.5*x163 + x178 - x182 =L= 26;
e239.. - x124 + x169 - x174 =L= 0;
e240.. - x124 - x169 + x174 =L= 0;
e241.. - x125 + x178 - x183 =L= 0;
e242.. - x125 - x178 + x183 =L= 0;
e243.. - 12*b51 - 12*b52 + 0.5*x149 + 0.5*x154 - x169 + x174 =L= 0;
e244.. - 12*b51 + 12*b52 + 0.5*x149 + 0.5*x154 + x169 - x174 =L= 12;
e245.. 13*b51 - 13*b52 + 0.5*x159 + 0.5*x164 - x178 + x183 =L= 13;
e246.. 13*b51 + 13*b52 + 0.5*x159 + 0.5*x164 + x178 - x183 =L= 26;
e247.. - x126 + x170 - x171 =L= 0;
e248.. - x126 - x170 + x171 =L= 0;
e249.. - x127 + x179 - x180 =L= 0;
e250.. - x127 - x179 + x180 =L= 0;
e251.. - 12*b53 - 12*b54 + 0.5*x150 + 0.5*x151 - x170 + x171 =L= 0;
e252.. - 12*b53 + 12*b54 + 0.5*x150 + 0.5*x151 + x170 - x171 =L= 12;
e253.. 13*b53 - 13*b54 + 0.5*x160 + 0.5*x161 - x179 + x180 =L= 13;
e254.. 13*b53 + 13*b54 + 0.5*x160 + 0.5*x161 + x179 - x180 =L= 26;
e255.. - x128 + x170 - x172 =L= 0;
e256.. - x128 - x170 + x172 =L= 0;
e257.. - x129 + x179 - x181 =L= 0;
e258.. - x129 - x179 + x181 =L= 0;
e259.. - 12*b55 - 12*b56 + 0.5*x150 + 0.5*x152 - x170 + x172 =L= 0;
e260.. - 12*b55 + 12*b56 + 0.5*x150 + 0.5*x152 + x170 - x172 =L= 12;
e261.. 13*b55 - 13*b56 + 0.5*x160 + 0.5*x162 - x179 + x181 =L= 13;
e262.. 13*b55 + 13*b56 + 0.5*x160 + 0.5*x162 + x179 - x181 =L= 26;
e263.. - x130 + x170 - x173 =L= 0;
e264.. - x130 - x170 + x173 =L= 0;
e265.. - x131 + x179 - x182 =L= 0;
e266.. - x131 - x179 + x182 =L= 0;
e267.. - 12*b57 - 12*b58 + 0.5*x150 + 0.5*x153 - x170 + x173 =L= 0;
e268.. - 12*b57 + 12*b58 + 0.5*x150 + 0.5*x153 + x170 - x173 =L= 12;
e269.. 13*b57 - 13*b58 + 0.5*x160 + 0.5*x163 - x179 + x182 =L= 13;
e270.. 13*b57 + 13*b58 + 0.5*x160 + 0.5*x163 + x179 - x182 =L= 26;
e271.. - x132 + x170 - x174 =L= 0;
e272.. - x132 - x170 + x174 =L= 0;
e273.. - x133 + x179 - x183 =L= 0;
e274.. - x133 - x179 + x183 =L= 0;
e275.. - 12*b59 - 12*b60 + 0.5*x150 + 0.5*x154 - x170 + x174 =L= 0;
e276.. - 12*b59 + 12*b60 + 0.5*x150 + 0.5*x154 + x170 - x174 =L= 12;
e277.. 13*b59 - 13*b60 + 0.5*x160 + 0.5*x164 - x179 + x183 =L= 13;
e278.. 13*b59 + 13*b60 + 0.5*x160 + 0.5*x164 + x179 - x183 =L= 26;
e279.. - x134 + x171 - x172 =L= 0;
e280.. - x134 - x171 + x172 =L= 0;
e281.. - x135 + x180 - x181 =L= 0;
e282.. - x135 - x180 + x181 =L= 0;
e283.. - 12*b61 - 12*b62 + 0.5*x151 + 0.5*x152 - x171 + x172 =L= 0;
e284.. - 12*b61 + 12*b62 + 0.5*x151 + 0.5*x152 + x171 - x172 =L= 12;
e285.. 13*b61 - 13*b62 + 0.5*x161 + 0.5*x162 - x180 + x181 =L= 13;
e286.. 13*b61 + 13*b62 + 0.5*x161 + 0.5*x162 + x180 - x181 =L= 26;
e287.. - x136 + x171 - x173 =L= 0;
e288.. - x136 - x171 + x173 =L= 0;
e289.. - x137 + x180 - x182 =L= 0;
e290.. - x137 - x180 + x182 =L= 0;
e291.. - 12*b63 - 12*b64 + 0.5*x151 + 0.5*x153 - x171 + x173 =L= 0;
e292.. - 12*b63 + 12*b64 + 0.5*x151 + 0.5*x153 + x171 - x173 =L= 12;
e293.. 13*b63 - 13*b64 + 0.5*x161 + 0.5*x163 - x180 + x182 =L= 13;
e294.. 13*b63 + 13*b64 + 0.5*x161 + 0.5*x163 + x180 - x182 =L= 26;
e295.. - x138 + x171 - x174 =L= 0;
e296.. - x138 - x171 + x174 =L= 0;
e297.. - x139 + x180 - x183 =L= 0;
e298.. - x139 - x180 + x183 =L= 0;
e299.. - 12*b65 - 12*b66 + 0.5*x151 + 0.5*x154 - x171 + x174 =L= 0;
e300.. - 12*b65 + 12*b66 + 0.5*x151 + 0.5*x154 + x171 - x174 =L= 12;
e301.. 13*b65 - 13*b66 + 0.5*x161 + 0.5*x164 - x180 + x183 =L= 13;
e302.. 13*b65 + 13*b66 + 0.5*x161 + 0.5*x164 + x180 - x183 =L= 26;
e303.. - x140 + x172 - x173 =L= 0;
e304.. - x140 - x172 + x173 =L= 0;
e305.. - x141 + x181 - x182 =L= 0;
e306.. - x141 - x181 + x182 =L= 0;
e307.. - 12*b67 - 12*b68 + 0.5*x152 + 0.5*x153 - x172 + x173 =L= 0;
e308.. - 12*b67 + 12*b68 + 0.5*x152 + 0.5*x153 + x172 - x173 =L= 12;
e309.. 13*b67 - 13*b68 + 0.5*x162 + 0.5*x163 - x181 + x182 =L= 13;
e310.. 13*b67 + 13*b68 + 0.5*x162 + 0.5*x163 + x181 - x182 =L= 26;
e311.. - x142 + x172 - x174 =L= 0;
e312.. - x142 - x172 + x174 =L= 0;
e313.. - x143 + x181 - x183 =L= 0;
e314.. - x143 - x181 + x183 =L= 0;
e315.. - 12*b69 - 12*b70 + 0.5*x152 + 0.5*x154 - x172 + x174 =L= 0;
e316.. - 12*b69 + 12*b70 + 0.5*x152 + 0.5*x154 + x172 - x174 =L= 12;
e317.. 13*b69 - 13*b70 + 0.5*x162 + 0.5*x164 - x181 + x183 =L= 13;
e318.. 13*b69 + 13*b70 + 0.5*x162 + 0.5*x164 + x181 - x183 =L= 26;
e319.. - x144 + x173 - x174 =L= 0;
e320.. - x144 - x173 + x174 =L= 0;
e321.. - x145 + x182 - x183 =L= 0;
e322.. - x145 - x182 + x183 =L= 0;
e323.. - 12*b71 - 12*b72 + 0.5*x153 + 0.5*x154 - x173 + x174 =L= 0;
e324.. - 12*b71 + 12*b72 + 0.5*x153 + 0.5*x154 + x173 - x174 =L= 12;
e325.. 13*b71 - 13*b72 + 0.5*x163 + 0.5*x164 - x182 + x183 =L= 13;
e326.. 13*b71 + 13*b72 + 0.5*x163 + 0.5*x164 + x182 - x183 =L= 26;
e327.. 16/x146 - x156 =L= 0;
e328.. 16/x156 - x146 =L= 0;
e329.. 16/x147 - x157 =L= 0;
e330.. 16/x157 - x147 =L= 0;
e331.. 16/x148 - x158 =L= 0;
e332.. 16/x158 - x148 =L= 0;
e333.. 36/x149 - x159 =L= 0;
e334.. 36/x159 - x149 =L= 0;
e335.. 36/x150 - x160 =L= 0;
e336.. 36/x160 - x150 =L= 0;
e337.. 9/x151 - x161 =L= 0;
e338.. 9/x161 - x151 =L= 0;
e339.. 9/x152 - x162 =L= 0;
e340.. 9/x162 - x152 =L= 0;
e341.. 9/x153 - x163 =L= 0;
e342.. 9/x163 - x153 =L= 0;
e343.. 9/x154 - x164 =L= 0;
e344.. 9/x164 - x154 =L= 0;
* set non-default bounds
x146.lo = 2; x146.up = 8;
x147.lo = 2; x147.up = 8;
x148.lo = 2; x148.up = 8;
x149.lo = 3; x149.up = 12;
x150.lo = 3; x150.up = 12;
x151.lo = 1.5; x151.up = 6;
x152.lo = 1.5; x152.up = 6;
x153.lo = 1.5; x153.up = 6;
x154.lo = 1.5; x154.up = 6;
x155.fx = 12;
x156.lo = 2; x156.up = 8;
x157.lo = 2; x157.up = 8;
x158.lo = 2; x158.up = 8;
x159.lo = 3; x159.up = 12;
x160.lo = 3; x160.up = 12;
x161.lo = 1.5; x161.up = 6;
x162.lo = 1.5; x162.up = 6;
x163.lo = 1.5; x163.up = 6;
x164.lo = 1.5; x164.up = 6;
x165.fx = 13;
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