MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance fo8
Facility Layout
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 22.38189400 (ALPHAECP) 22.38189652 (ANTIGONE) 22.38189649 (BARON) 7.35133054 (BONMIN) 9.49021839 (COUENNE) 19.08279470 (LINDO) 22.38189652 (SCIP) 22.38188437 (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ⓘ | 146 |
| #Binary Variablesⓘ | 56 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 16 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 14 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 273 |
| #Linear Constraintsⓘ | 257 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 16 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | convex |
| #Nonzeros in Jacobianⓘ | 1122 |
| #Nonlinear Nonzeros in Jacobianⓘ | 16 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 16 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 16 |
| #Blocks in Hessian of Lagrangianⓘ | 16 |
| 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ⓘ | 8.817 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 274 1 0 273 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 147 91 56 0 0 0 0 0
* FX 2
*
* Nonzero counts
* Total const NL DLL
* 1137 1121 16 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,objvar,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;
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;
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;
e1.. objvar - x58 - x59 - x72 - x73 - x84 - x85 - x94 - x95 - x102 - x103
- x108 - x109 - x112 - x113 =E= 0;
e2.. x132 - x133 =L= 0;
e3.. 0.5*x114 - x122 + x132 =L= 0;
e4.. 0.5*x114 - x132 =L= 0;
e5.. 0.5*x123 - x131 + x140 =L= 0;
e6.. 0.5*x123 - x140 =L= 0;
e7.. 0.5*x115 - x122 + x133 =L= 0;
e8.. 0.5*x115 - x133 =L= 0;
e9.. 0.5*x124 - x131 + x141 =L= 0;
e10.. 0.5*x124 - x141 =L= 0;
e11.. 0.5*x116 - x122 + x134 =L= 0;
e12.. 0.5*x116 - x134 =L= 0;
e13.. 0.5*x125 - x131 + x142 =L= 0;
e14.. 0.5*x125 - x142 =L= 0;
e15.. 0.5*x117 - x122 + x135 =L= 0;
e16.. 0.5*x117 - x135 =L= 0;
e17.. 0.5*x126 - x131 + x143 =L= 0;
e18.. 0.5*x126 - x143 =L= 0;
e19.. 0.5*x118 - x122 + x136 =L= 0;
e20.. 0.5*x118 - x136 =L= 0;
e21.. 0.5*x127 - x131 + x144 =L= 0;
e22.. 0.5*x127 - x144 =L= 0;
e23.. 0.5*x119 - x122 + x137 =L= 0;
e24.. 0.5*x119 - x137 =L= 0;
e25.. 0.5*x128 - x131 + x145 =L= 0;
e26.. 0.5*x128 - x145 =L= 0;
e27.. 0.5*x120 - x122 + x138 =L= 0;
e28.. 0.5*x120 - x138 =L= 0;
e29.. 0.5*x129 - x131 + x146 =L= 0;
e30.. 0.5*x129 - x146 =L= 0;
e31.. 0.5*x121 - x122 + x139 =L= 0;
e32.. 0.5*x121 - x139 =L= 0;
e33.. 0.5*x130 - x131 + x147 =L= 0;
e34.. 0.5*x130 - x147 =L= 0;
e35.. - x58 + x132 - x133 =L= 0;
e36.. - x58 - x132 + x133 =L= 0;
e37.. - x59 + x140 - x141 =L= 0;
e38.. - x59 - x140 + x141 =L= 0;
e39.. - 11.31*b1 - 11.31*b2 + 0.5*x114 + 0.5*x115 - x132 + x133 =L= 0;
e40.. - 11.31*b1 + 11.31*b2 + 0.5*x114 + 0.5*x115 + x132 - x133 =L= 11.31;
e41.. 13*b1 - 13*b2 + 0.5*x123 + 0.5*x124 - x140 + x141 =L= 13;
e42.. 13*b1 + 13*b2 + 0.5*x123 + 0.5*x124 + x140 - x141 =L= 26;
e43.. - x60 + x132 - x134 =L= 0;
e44.. - x60 - x132 + x134 =L= 0;
e45.. - x61 + x140 - x142 =L= 0;
e46.. - x61 - x140 + x142 =L= 0;
e47.. - 11.31*b3 - 11.31*b4 + 0.5*x114 + 0.5*x116 - x132 + x134 =L= 0;
e48.. - 11.31*b3 + 11.31*b4 + 0.5*x114 + 0.5*x116 + x132 - x134 =L= 11.31;
e49.. 13*b3 - 13*b4 + 0.5*x123 + 0.5*x125 - x140 + x142 =L= 13;
e50.. 13*b3 + 13*b4 + 0.5*x123 + 0.5*x125 + x140 - x142 =L= 26;
e51.. - x62 + x132 - x135 =L= 0;
e52.. - x62 - x132 + x135 =L= 0;
e53.. - x63 + x140 - x143 =L= 0;
e54.. - x63 - x140 + x143 =L= 0;
e55.. - 11.31*b5 - 11.31*b6 + 0.5*x114 + 0.5*x117 - x132 + x135 =L= 0;
e56.. - 11.31*b5 + 11.31*b6 + 0.5*x114 + 0.5*x117 + x132 - x135 =L= 11.31;
e57.. 13*b5 - 13*b6 + 0.5*x123 + 0.5*x126 - x140 + x143 =L= 13;
e58.. 13*b5 + 13*b6 + 0.5*x123 + 0.5*x126 + x140 - x143 =L= 26;
e59.. - x64 + x132 - x136 =L= 0;
e60.. - x64 - x132 + x136 =L= 0;
e61.. - x65 + x140 - x144 =L= 0;
e62.. - x65 - x140 + x144 =L= 0;
e63.. - 11.31*b7 - 11.31*b8 + 0.5*x114 + 0.5*x118 - x132 + x136 =L= 0;
e64.. - 11.31*b7 + 11.31*b8 + 0.5*x114 + 0.5*x118 + x132 - x136 =L= 11.31;
e65.. 13*b7 - 13*b8 + 0.5*x123 + 0.5*x127 - x140 + x144 =L= 13;
e66.. 13*b7 + 13*b8 + 0.5*x123 + 0.5*x127 + x140 - x144 =L= 26;
e67.. - x66 + x132 - x137 =L= 0;
e68.. - x66 - x132 + x137 =L= 0;
e69.. - x67 + x140 - x145 =L= 0;
e70.. - x67 - x140 + x145 =L= 0;
e71.. - 11.31*b9 - 11.31*b10 + 0.5*x114 + 0.5*x119 - x132 + x137 =L= 0;
e72.. - 11.31*b9 + 11.31*b10 + 0.5*x114 + 0.5*x119 + x132 - x137 =L= 11.31;
e73.. 13*b9 - 13*b10 + 0.5*x123 + 0.5*x128 - x140 + x145 =L= 13;
e74.. 13*b9 + 13*b10 + 0.5*x123 + 0.5*x128 + x140 - x145 =L= 26;
e75.. - x68 + x132 - x138 =L= 0;
e76.. - x68 - x132 + x138 =L= 0;
e77.. - x69 + x140 - x146 =L= 0;
e78.. - x69 - x140 + x146 =L= 0;
e79.. - 11.31*b11 - 11.31*b12 + 0.5*x114 + 0.5*x120 - x132 + x138 =L= 0;
e80.. - 11.31*b11 + 11.31*b12 + 0.5*x114 + 0.5*x120 + x132 - x138 =L= 11.31;
e81.. 13*b11 - 13*b12 + 0.5*x123 + 0.5*x129 - x140 + x146 =L= 13;
e82.. 13*b11 + 13*b12 + 0.5*x123 + 0.5*x129 + x140 - x146 =L= 26;
e83.. - x70 + x132 - x139 =L= 0;
e84.. - x70 - x132 + x139 =L= 0;
e85.. - x71 + x140 - x147 =L= 0;
e86.. - x71 - x140 + x147 =L= 0;
e87.. - 11.31*b13 - 11.31*b14 + 0.5*x114 + 0.5*x121 - x132 + x139 =L= 0;
e88.. - 11.31*b13 + 11.31*b14 + 0.5*x114 + 0.5*x121 + x132 - x139 =L= 11.31;
e89.. 13*b13 - 13*b14 + 0.5*x123 + 0.5*x130 - x140 + x147 =L= 13;
e90.. 13*b13 + 13*b14 + 0.5*x123 + 0.5*x130 + x140 - x147 =L= 26;
e91.. - x72 + x133 - x134 =L= 0;
e92.. - x72 - x133 + x134 =L= 0;
e93.. - x73 + x141 - x142 =L= 0;
e94.. - x73 - x141 + x142 =L= 0;
e95.. - 11.31*b15 - 11.31*b16 + 0.5*x115 + 0.5*x116 - x133 + x134 =L= 0;
e96.. - 11.31*b15 + 11.31*b16 + 0.5*x115 + 0.5*x116 + x133 - x134 =L= 11.31;
e97.. 13*b15 - 13*b16 + 0.5*x124 + 0.5*x125 - x141 + x142 =L= 13;
e98.. 13*b15 + 13*b16 + 0.5*x124 + 0.5*x125 + x141 - x142 =L= 26;
e99.. - x74 + x133 - x135 =L= 0;
e100.. - x74 - x133 + x135 =L= 0;
e101.. - x75 + x141 - x143 =L= 0;
e102.. - x75 - x141 + x143 =L= 0;
e103.. - 11.31*b17 - 11.31*b18 + 0.5*x115 + 0.5*x117 - x133 + x135 =L= 0;
e104.. - 11.31*b17 + 11.31*b18 + 0.5*x115 + 0.5*x117 + x133 - x135 =L= 11.31;
e105.. 13*b17 - 13*b18 + 0.5*x124 + 0.5*x126 - x141 + x143 =L= 13;
e106.. 13*b17 + 13*b18 + 0.5*x124 + 0.5*x126 + x141 - x143 =L= 26;
e107.. - x76 + x133 - x136 =L= 0;
e108.. - x76 - x133 + x136 =L= 0;
e109.. - x77 + x141 - x144 =L= 0;
e110.. - x77 - x141 + x144 =L= 0;
e111.. - 11.31*b19 - 11.31*b20 + 0.5*x115 + 0.5*x118 - x133 + x136 =L= 0;
e112.. - 11.31*b19 + 11.31*b20 + 0.5*x115 + 0.5*x118 + x133 - x136 =L= 11.31;
e113.. 13*b19 - 13*b20 + 0.5*x124 + 0.5*x127 - x141 + x144 =L= 13;
e114.. 13*b19 + 13*b20 + 0.5*x124 + 0.5*x127 + x141 - x144 =L= 26;
e115.. - x78 + x133 - x137 =L= 0;
e116.. - x78 - x133 + x137 =L= 0;
e117.. - x79 + x141 - x145 =L= 0;
e118.. - x79 - x141 + x145 =L= 0;
e119.. - 11.31*b21 - 11.31*b22 + 0.5*x115 + 0.5*x119 - x133 + x137 =L= 0;
e120.. - 11.31*b21 + 11.31*b22 + 0.5*x115 + 0.5*x119 + x133 - x137 =L= 11.31;
e121.. 13*b21 - 13*b22 + 0.5*x124 + 0.5*x128 - x141 + x145 =L= 13;
e122.. 13*b21 + 13*b22 + 0.5*x124 + 0.5*x128 + x141 - x145 =L= 26;
e123.. - x80 + x133 - x138 =L= 0;
e124.. - x80 - x133 + x138 =L= 0;
e125.. - x81 + x141 - x146 =L= 0;
e126.. - x81 - x141 + x146 =L= 0;
e127.. - 11.31*b23 - 11.31*b24 + 0.5*x115 + 0.5*x120 - x133 + x138 =L= 0;
e128.. - 11.31*b23 + 11.31*b24 + 0.5*x115 + 0.5*x120 + x133 - x138 =L= 11.31;
e129.. 13*b23 - 13*b24 + 0.5*x124 + 0.5*x129 - x141 + x146 =L= 13;
e130.. 13*b23 + 13*b24 + 0.5*x124 + 0.5*x129 + x141 - x146 =L= 26;
e131.. - x82 + x133 - x139 =L= 0;
e132.. - x82 - x133 + x139 =L= 0;
e133.. - x83 + x141 - x147 =L= 0;
e134.. - x83 - x141 + x147 =L= 0;
e135.. - 11.31*b25 - 11.31*b26 + 0.5*x115 + 0.5*x121 - x133 + x139 =L= 0;
e136.. - 11.31*b25 + 11.31*b26 + 0.5*x115 + 0.5*x121 + x133 - x139 =L= 11.31;
e137.. 13*b25 - 13*b26 + 0.5*x124 + 0.5*x130 - x141 + x147 =L= 13;
e138.. 13*b25 + 13*b26 + 0.5*x124 + 0.5*x130 + x141 - x147 =L= 26;
e139.. - x84 + x134 - x135 =L= 0;
e140.. - x84 - x134 + x135 =L= 0;
e141.. - x85 + x142 - x143 =L= 0;
e142.. - x85 - x142 + x143 =L= 0;
e143.. - 11.31*b27 - 11.31*b28 + 0.5*x116 + 0.5*x117 - x134 + x135 =L= 0;
e144.. - 11.31*b27 + 11.31*b28 + 0.5*x116 + 0.5*x117 + x134 - x135 =L= 11.31;
e145.. 13*b27 - 13*b28 + 0.5*x125 + 0.5*x126 - x142 + x143 =L= 13;
e146.. 13*b27 + 13*b28 + 0.5*x125 + 0.5*x126 + x142 - x143 =L= 26;
e147.. - x86 + x134 - x136 =L= 0;
e148.. - x86 - x134 + x136 =L= 0;
e149.. - x87 + x142 - x144 =L= 0;
e150.. - x87 - x142 + x144 =L= 0;
e151.. - 11.31*b29 - 11.31*b30 + 0.5*x116 + 0.5*x118 - x134 + x136 =L= 0;
e152.. - 11.31*b29 + 11.31*b30 + 0.5*x116 + 0.5*x118 + x134 - x136 =L= 11.31;
e153.. 13*b29 - 13*b30 + 0.5*x125 + 0.5*x127 - x142 + x144 =L= 13;
e154.. 13*b29 + 13*b30 + 0.5*x125 + 0.5*x127 + x142 - x144 =L= 26;
e155.. - x88 + x134 - x137 =L= 0;
e156.. - x88 - x134 + x137 =L= 0;
e157.. - x89 + x142 - x145 =L= 0;
e158.. - x89 - x142 + x145 =L= 0;
e159.. - 11.31*b31 - 11.31*b32 + 0.5*x116 + 0.5*x119 - x134 + x137 =L= 0;
e160.. - 11.31*b31 + 11.31*b32 + 0.5*x116 + 0.5*x119 + x134 - x137 =L= 11.31;
e161.. 13*b31 - 13*b32 + 0.5*x125 + 0.5*x128 - x142 + x145 =L= 13;
e162.. 13*b31 + 13*b32 + 0.5*x125 + 0.5*x128 + x142 - x145 =L= 26;
e163.. - x90 + x134 - x138 =L= 0;
e164.. - x90 - x134 + x138 =L= 0;
e165.. - x91 + x142 - x146 =L= 0;
e166.. - x91 - x142 + x146 =L= 0;
e167.. - 11.31*b33 - 11.31*b34 + 0.5*x116 + 0.5*x120 - x134 + x138 =L= 0;
e168.. - 11.31*b33 + 11.31*b34 + 0.5*x116 + 0.5*x120 + x134 - x138 =L= 11.31;
e169.. 13*b33 - 13*b34 + 0.5*x125 + 0.5*x129 - x142 + x146 =L= 13;
e170.. 13*b33 + 13*b34 + 0.5*x125 + 0.5*x129 + x142 - x146 =L= 26;
e171.. - x92 + x134 - x139 =L= 0;
e172.. - x92 - x134 + x139 =L= 0;
e173.. - x93 + x142 - x147 =L= 0;
e174.. - x93 - x142 + x147 =L= 0;
e175.. - 11.31*b35 - 11.31*b36 + 0.5*x116 + 0.5*x121 - x134 + x139 =L= 0;
e176.. - 11.31*b35 + 11.31*b36 + 0.5*x116 + 0.5*x121 + x134 - x139 =L= 11.31;
e177.. 13*b35 - 13*b36 + 0.5*x125 + 0.5*x130 - x142 + x147 =L= 13;
e178.. 13*b35 + 13*b36 + 0.5*x125 + 0.5*x130 + x142 - x147 =L= 26;
e179.. - x94 + x135 - x136 =L= 0;
e180.. - x94 - x135 + x136 =L= 0;
e181.. - x95 + x143 - x144 =L= 0;
e182.. - x95 - x143 + x144 =L= 0;
e183.. - 11.31*b37 - 11.31*b38 + 0.5*x117 + 0.5*x118 - x135 + x136 =L= 0;
e184.. - 11.31*b37 + 11.31*b38 + 0.5*x117 + 0.5*x118 + x135 - x136 =L= 11.31;
e185.. 13*b37 - 13*b38 + 0.5*x126 + 0.5*x127 - x143 + x144 =L= 13;
e186.. 13*b37 + 13*b38 + 0.5*x126 + 0.5*x127 + x143 - x144 =L= 26;
e187.. - x96 + x135 - x137 =L= 0;
e188.. - x96 - x135 + x137 =L= 0;
e189.. - x97 + x143 - x145 =L= 0;
e190.. - x97 - x143 + x145 =L= 0;
e191.. - 11.31*b39 - 11.31*b40 + 0.5*x117 + 0.5*x119 - x135 + x137 =L= 0;
e192.. - 11.31*b39 + 11.31*b40 + 0.5*x117 + 0.5*x119 + x135 - x137 =L= 11.31;
e193.. 13*b39 - 13*b40 + 0.5*x126 + 0.5*x128 - x143 + x145 =L= 13;
e194.. 13*b39 + 13*b40 + 0.5*x126 + 0.5*x128 + x143 - x145 =L= 26;
e195.. - x98 + x135 - x138 =L= 0;
e196.. - x98 - x135 + x138 =L= 0;
e197.. - x99 + x143 - x146 =L= 0;
e198.. - x99 - x143 + x146 =L= 0;
e199.. - 11.31*b41 - 11.31*b42 + 0.5*x117 + 0.5*x120 - x135 + x138 =L= 0;
e200.. - 11.31*b41 + 11.31*b42 + 0.5*x117 + 0.5*x120 + x135 - x138 =L= 11.31;
e201.. 13*b41 - 13*b42 + 0.5*x126 + 0.5*x129 - x143 + x146 =L= 13;
e202.. 13*b41 + 13*b42 + 0.5*x126 + 0.5*x129 + x143 - x146 =L= 26;
e203.. - x100 + x135 - x139 =L= 0;
e204.. - x100 - x135 + x139 =L= 0;
e205.. - x101 + x143 - x147 =L= 0;
e206.. - x101 - x143 + x147 =L= 0;
e207.. - 11.31*b43 - 11.31*b44 + 0.5*x117 + 0.5*x121 - x135 + x139 =L= 0;
e208.. - 11.31*b43 + 11.31*b44 + 0.5*x117 + 0.5*x121 + x135 - x139 =L= 11.31;
e209.. 13*b43 - 13*b44 + 0.5*x126 + 0.5*x130 - x143 + x147 =L= 13;
e210.. 13*b43 + 13*b44 + 0.5*x126 + 0.5*x130 + x143 - x147 =L= 26;
e211.. - x102 + x136 - x137 =L= 0;
e212.. - x102 - x136 + x137 =L= 0;
e213.. - x103 + x144 - x145 =L= 0;
e214.. - x103 - x144 + x145 =L= 0;
e215.. - 11.31*b45 - 11.31*b46 + 0.5*x118 + 0.5*x119 - x136 + x137 =L= 0;
e216.. - 11.31*b45 + 11.31*b46 + 0.5*x118 + 0.5*x119 + x136 - x137 =L= 11.31;
e217.. 13*b45 - 13*b46 + 0.5*x127 + 0.5*x128 - x144 + x145 =L= 13;
e218.. 13*b45 + 13*b46 + 0.5*x127 + 0.5*x128 + x144 - x145 =L= 26;
e219.. - x104 + x136 - x138 =L= 0;
e220.. - x104 - x136 + x138 =L= 0;
e221.. - x105 + x144 - x146 =L= 0;
e222.. - x105 - x144 + x146 =L= 0;
e223.. - 11.31*b47 - 11.31*b48 + 0.5*x118 + 0.5*x120 - x136 + x138 =L= 0;
e224.. - 11.31*b47 + 11.31*b48 + 0.5*x118 + 0.5*x120 + x136 - x138 =L= 11.31;
e225.. 13*b47 - 13*b48 + 0.5*x127 + 0.5*x129 - x144 + x146 =L= 13;
e226.. 13*b47 + 13*b48 + 0.5*x127 + 0.5*x129 + x144 - x146 =L= 26;
e227.. - x106 + x136 - x139 =L= 0;
e228.. - x106 - x136 + x139 =L= 0;
e229.. - x107 + x144 - x147 =L= 0;
e230.. - x107 - x144 + x147 =L= 0;
e231.. - 11.31*b49 - 11.31*b50 + 0.5*x118 + 0.5*x121 - x136 + x139 =L= 0;
e232.. - 11.31*b49 + 11.31*b50 + 0.5*x118 + 0.5*x121 + x136 - x139 =L= 11.31;
e233.. 13*b49 - 13*b50 + 0.5*x127 + 0.5*x130 - x144 + x147 =L= 13;
e234.. 13*b49 + 13*b50 + 0.5*x127 + 0.5*x130 + x144 - x147 =L= 26;
e235.. - x108 + x137 - x138 =L= 0;
e236.. - x108 - x137 + x138 =L= 0;
e237.. - x109 + x145 - x146 =L= 0;
e238.. - x109 - x145 + x146 =L= 0;
e239.. - 11.31*b51 - 11.31*b52 + 0.5*x119 + 0.5*x120 - x137 + x138 =L= 0;
e240.. - 11.31*b51 + 11.31*b52 + 0.5*x119 + 0.5*x120 + x137 - x138 =L= 11.31;
e241.. 13*b51 - 13*b52 + 0.5*x128 + 0.5*x129 - x145 + x146 =L= 13;
e242.. 13*b51 + 13*b52 + 0.5*x128 + 0.5*x129 + x145 - x146 =L= 26;
e243.. - x110 + x137 - x139 =L= 0;
e244.. - x110 - x137 + x139 =L= 0;
e245.. - x111 + x145 - x147 =L= 0;
e246.. - x111 - x145 + x147 =L= 0;
e247.. - 11.31*b53 - 11.31*b54 + 0.5*x119 + 0.5*x121 - x137 + x139 =L= 0;
e248.. - 11.31*b53 + 11.31*b54 + 0.5*x119 + 0.5*x121 + x137 - x139 =L= 11.31;
e249.. 13*b53 - 13*b54 + 0.5*x128 + 0.5*x130 - x145 + x147 =L= 13;
e250.. 13*b53 + 13*b54 + 0.5*x128 + 0.5*x130 + x145 - x147 =L= 26;
e251.. - x112 + x138 - x139 =L= 0;
e252.. - x112 - x138 + x139 =L= 0;
e253.. - x113 + x146 - x147 =L= 0;
e254.. - x113 - x146 + x147 =L= 0;
e255.. - 11.31*b55 - 11.31*b56 + 0.5*x120 + 0.5*x121 - x138 + x139 =L= 0;
e256.. - 11.31*b55 + 11.31*b56 + 0.5*x120 + 0.5*x121 + x138 - x139 =L= 11.31;
e257.. 13*b55 - 13*b56 + 0.5*x129 + 0.5*x130 - x146 + x147 =L= 13;
e258.. 13*b55 + 13*b56 + 0.5*x129 + 0.5*x130 + x146 - x147 =L= 26;
e259.. 16/x114 - x123 =L= 0;
e260.. 16/x123 - x114 =L= 0;
e261.. 16/x115 - x124 =L= 0;
e262.. 16/x124 - x115 =L= 0;
e263.. 16/x116 - x125 =L= 0;
e264.. 16/x125 - x116 =L= 0;
e265.. 36/x117 - x126 =L= 0;
e266.. 36/x126 - x117 =L= 0;
e267.. 36/x118 - x127 =L= 0;
e268.. 36/x127 - x118 =L= 0;
e269.. 9/x119 - x128 =L= 0;
e270.. 9/x128 - x119 =L= 0;
e271.. 9/x120 - x129 =L= 0;
e272.. 9/x129 - x120 =L= 0;
e273.. 9/x121 - x130 =L= 0;
e274.. 9/x130 - x121 =L= 0;
* set non-default bounds
x114.lo = 2; x114.up = 8;
x115.lo = 2; x115.up = 8;
x116.lo = 2; x116.up = 8;
x117.lo = 3; x117.up = 11.31;
x118.lo = 3; x118.up = 11.31;
x119.lo = 1.5; x119.up = 6;
x120.lo = 1.5; x120.up = 6;
x121.lo = 1.5; x121.up = 6;
x122.fx = 11.31;
x123.lo = 2; x123.up = 8;
x124.lo = 2; x124.up = 8;
x125.lo = 2; x125.up = 8;
x126.lo = 3.183; x126.up = 12;
x127.lo = 3.183; x127.up = 12;
x128.lo = 1.5; x128.up = 6;
x129.lo = 1.5; x129.up = 6;
x130.lo = 1.5; x130.up = 6;
x131.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: 2024-12-17 Git hash: 8eaceb91