MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
Home // Instances // Documentation // Download // Statistics
Instance slay08m
Determine the optimal placement of a set of units with fixed width and length such that the Euclidean distance between their center point and a predefined "safety point" is minimized.
| Formatsⓘ | ams gms lp mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 33497.89000000 (ALPHAECP) 84960.21117000 (ANTIGONE) 84960.21233000 (BARON) 84960.21200000 (BONMIN) 84960.21125000 (COUENNE) 84960.21242000 (CPLEX) 84960.21242000 (GUROBI) 84960.21242000 (LINDO) 84960.21242000 (SCIP) 84960.21242000 (SHOT) |
| Referencesⓘ | Sawaya, Nicolas W, Reformulations, relaxations and cutting planes for generalized disjunctive programming, PhD thesis, Carnegie Mellon University, 2006. |
| Sourceⓘ | SLay08M.gms from CMU-IBM MINLP solver project page |
| Applicationⓘ | Layout |
| Added to libraryⓘ | 28 Sep 2013 |
| Problem typeⓘ | MBQP |
| #Variablesⓘ | 184 |
| #Binary Variablesⓘ | 112 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 16 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | quadratic |
| Objective curvatureⓘ | convex |
| #Nonzeros in Objectiveⓘ | 72 |
| #Nonlinear Nonzeros in Objectiveⓘ | 16 |
| #Constraintsⓘ | 252 |
| #Linear Constraintsⓘ | 252 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | linear |
| #Nonzeros in Jacobianⓘ | 784 |
| #Nonlinear Nonzeros in Jacobianⓘ | 0 |
| #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ⓘ | 1.0000e+00 |
| Maximal coefficientⓘ | 4.0000e+02 |
| Infeasibility of initial pointⓘ | 3 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 253 29 112 112 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 185 73 112 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 857 841 16 0
*
* Solve m using MINLP minimizing objvar;
Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,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,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86,b87
,b88,b89,b90,b91,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,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,objvar;
Positive Variables 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;
Binary Variables 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,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82
,b83,b84,b85,b86,b87,b88,b89,b90,b91,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;
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;
e1.. -(150*(sqr((-4) + x1) + sqr((-10) + x9)) + 390*(sqr((-10) + x2) + sqr((-15
) + x10)) + 240*(sqr((-7) + x3) + sqr((-9) + x11)) + 70*(sqr((-3) + x4) +
sqr((-3) + x12)) + 165*(sqr((-20) + x5) + sqr((-17) + x13)) + 100*(sqr((-
18) + x6) + sqr((-8) + x14)) + 200*(sqr((-30) + x7) + sqr((-20) + x15)) +
400*(sqr((-24) + x8) + sqr((-10) + x16))) - 300*x129 - 240*x130 - 210*x131
- 140*x132 - 300*x133 - 250*x134 - 300*x135 - 100*x136 - 150*x137
- 220*x138 - 200*x139 - 300*x140 - 290*x141 - 120*x142 - 300*x143
- 150*x144 - 150*x145 - 100*x146 - 100*x147 - 120*x148 - 180*x149
- 220*x150 - 130*x151 - 190*x152 - 110*x153 - 220*x154 - 140*x155
- 260*x156 - 300*x157 - 240*x158 - 210*x159 - 140*x160 - 300*x161
- 250*x162 - 300*x163 - 100*x164 - 150*x165 - 220*x166 - 200*x167
- 300*x168 - 290*x169 - 120*x170 - 300*x171 - 150*x172 - 150*x173
- 100*x174 - 100*x175 - 120*x176 - 180*x177 - 220*x178 - 130*x179
- 190*x180 - 110*x181 - 220*x182 - 140*x183 - 260*x184 + objvar =E= 0;
e2.. - x1 + x2 + x129 =G= 0;
e3.. - x1 + x3 + x130 =G= 0;
e4.. - x1 + x4 + x131 =G= 0;
e5.. - x1 + x5 + x132 =G= 0;
e6.. - x1 + x6 + x133 =G= 0;
e7.. - x1 + x7 + x134 =G= 0;
e8.. - x1 + x8 + x135 =G= 0;
e9.. - x2 + x3 + x136 =G= 0;
e10.. - x2 + x4 + x137 =G= 0;
e11.. - x2 + x5 + x138 =G= 0;
e12.. - x2 + x6 + x139 =G= 0;
e13.. - x2 + x7 + x140 =G= 0;
e14.. - x2 + x8 + x141 =G= 0;
e15.. - x3 + x4 + x142 =G= 0;
e16.. - x3 + x5 + x143 =G= 0;
e17.. - x3 + x6 + x144 =G= 0;
e18.. - x3 + x7 + x145 =G= 0;
e19.. - x3 + x8 + x146 =G= 0;
e20.. - x4 + x5 + x147 =G= 0;
e21.. - x4 + x6 + x148 =G= 0;
e22.. - x4 + x7 + x149 =G= 0;
e23.. - x4 + x8 + x150 =G= 0;
e24.. - x5 + x6 + x151 =G= 0;
e25.. - x5 + x7 + x152 =G= 0;
e26.. - x5 + x8 + x153 =G= 0;
e27.. - x6 + x7 + x154 =G= 0;
e28.. - x6 + x8 + x155 =G= 0;
e29.. - x7 + x8 + x156 =G= 0;
e30.. x1 - x2 + x129 =G= 0;
e31.. x1 - x3 + x130 =G= 0;
e32.. x1 - x4 + x131 =G= 0;
e33.. x1 - x5 + x132 =G= 0;
e34.. x1 - x6 + x133 =G= 0;
e35.. x1 - x7 + x134 =G= 0;
e36.. x1 - x8 + x135 =G= 0;
e37.. x2 - x3 + x136 =G= 0;
e38.. x2 - x4 + x137 =G= 0;
e39.. x2 - x5 + x138 =G= 0;
e40.. x2 - x6 + x139 =G= 0;
e41.. x2 - x7 + x140 =G= 0;
e42.. x2 - x8 + x141 =G= 0;
e43.. x3 - x4 + x142 =G= 0;
e44.. x3 - x5 + x143 =G= 0;
e45.. x3 - x6 + x144 =G= 0;
e46.. x3 - x7 + x145 =G= 0;
e47.. x3 - x8 + x146 =G= 0;
e48.. x4 - x5 + x147 =G= 0;
e49.. x4 - x6 + x148 =G= 0;
e50.. x4 - x7 + x149 =G= 0;
e51.. x4 - x8 + x150 =G= 0;
e52.. x5 - x6 + x151 =G= 0;
e53.. x5 - x7 + x152 =G= 0;
e54.. x5 - x8 + x153 =G= 0;
e55.. x6 - x7 + x154 =G= 0;
e56.. x6 - x8 + x155 =G= 0;
e57.. x7 - x8 + x156 =G= 0;
e58.. - x9 + x10 + x157 =G= 0;
e59.. - x9 + x11 + x158 =G= 0;
e60.. - x9 + x12 + x159 =G= 0;
e61.. - x9 + x13 + x160 =G= 0;
e62.. - x9 + x14 + x161 =G= 0;
e63.. - x9 + x15 + x162 =G= 0;
e64.. - x9 + x16 + x163 =G= 0;
e65.. - x10 + x11 + x164 =G= 0;
e66.. - x10 + x12 + x165 =G= 0;
e67.. - x10 + x13 + x166 =G= 0;
e68.. - x10 + x14 + x167 =G= 0;
e69.. - x10 + x15 + x168 =G= 0;
e70.. - x10 + x16 + x169 =G= 0;
e71.. - x11 + x12 + x170 =G= 0;
e72.. - x11 + x13 + x171 =G= 0;
e73.. - x11 + x14 + x172 =G= 0;
e74.. - x11 + x15 + x173 =G= 0;
e75.. - x11 + x16 + x174 =G= 0;
e76.. - x12 + x13 + x175 =G= 0;
e77.. - x12 + x14 + x176 =G= 0;
e78.. - x12 + x15 + x177 =G= 0;
e79.. - x12 + x16 + x178 =G= 0;
e80.. - x13 + x14 + x179 =G= 0;
e81.. - x13 + x15 + x180 =G= 0;
e82.. - x13 + x16 + x181 =G= 0;
e83.. - x14 + x15 + x182 =G= 0;
e84.. - x14 + x16 + x183 =G= 0;
e85.. - x15 + x16 + x184 =G= 0;
e86.. x9 - x10 + x157 =G= 0;
e87.. x9 - x11 + x158 =G= 0;
e88.. x9 - x12 + x159 =G= 0;
e89.. x9 - x13 + x160 =G= 0;
e90.. x9 - x14 + x161 =G= 0;
e91.. x9 - x15 + x162 =G= 0;
e92.. x9 - x16 + x163 =G= 0;
e93.. x10 - x11 + x164 =G= 0;
e94.. x10 - x12 + x165 =G= 0;
e95.. x10 - x13 + x166 =G= 0;
e96.. x10 - x14 + x167 =G= 0;
e97.. x10 - x15 + x168 =G= 0;
e98.. x10 - x16 + x169 =G= 0;
e99.. x11 - x12 + x170 =G= 0;
e100.. x11 - x13 + x171 =G= 0;
e101.. x11 - x14 + x172 =G= 0;
e102.. x11 - x15 + x173 =G= 0;
e103.. x11 - x16 + x174 =G= 0;
e104.. x12 - x13 + x175 =G= 0;
e105.. x12 - x14 + x176 =G= 0;
e106.. x12 - x15 + x177 =G= 0;
e107.. x12 - x16 + x178 =G= 0;
e108.. x13 - x14 + x179 =G= 0;
e109.. x13 - x15 + x180 =G= 0;
e110.. x13 - x16 + x181 =G= 0;
e111.. x14 - x15 + x182 =G= 0;
e112.. x14 - x16 + x183 =G= 0;
e113.. x15 - x16 + x184 =G= 0;
e114.. x1 - x2 + 40*b17 =L= 34;
e115.. x1 - x3 + 40*b18 =L= 36;
e116.. x1 - x4 + 40*b19 =L= 36.5;
e117.. x1 - x5 + 40*b20 =L= 35.5;
e118.. x1 - x6 + 40*b21 =L= 35;
e119.. x1 - x7 + 40*b22 =L= 33.5;
e120.. x1 - x8 + 40*b23 =L= 35.5;
e121.. x2 - x3 + 40*b24 =L= 35;
e122.. x2 - x4 + 40*b25 =L= 35.5;
e123.. x2 - x5 + 40*b26 =L= 34.5;
e124.. x2 - x6 + 40*b27 =L= 34;
e125.. x2 - x7 + 40*b28 =L= 32.5;
e126.. x2 - x8 + 40*b29 =L= 34.5;
e127.. x3 - x4 + 40*b30 =L= 37.5;
e128.. x3 - x5 + 40*b31 =L= 36.5;
e129.. x3 - x6 + 40*b32 =L= 36;
e130.. x3 - x7 + 40*b33 =L= 34.5;
e131.. x3 - x8 + 40*b34 =L= 36.5;
e132.. x4 - x5 + 40*b35 =L= 37;
e133.. x4 - x6 + 40*b36 =L= 36.5;
e134.. x4 - x7 + 40*b37 =L= 35;
e135.. x4 - x8 + 40*b38 =L= 37;
e136.. x5 - x6 + 40*b39 =L= 35.5;
e137.. x5 - x7 + 40*b40 =L= 34;
e138.. x5 - x8 + 40*b41 =L= 36;
e139.. x6 - x7 + 40*b42 =L= 33.5;
e140.. x6 - x8 + 40*b43 =L= 35.5;
e141.. x7 - x8 + 40*b44 =L= 34;
e142.. - x1 + x2 + 40*b45 =L= 34;
e143.. - x1 + x3 + 40*b46 =L= 36;
e144.. - x1 + x4 + 40*b47 =L= 36.5;
e145.. - x1 + x5 + 40*b48 =L= 35.5;
e146.. - x1 + x6 + 40*b49 =L= 35;
e147.. - x1 + x7 + 40*b50 =L= 33.5;
e148.. - x1 + x8 + 40*b51 =L= 35.5;
e149.. - x2 + x3 + 40*b52 =L= 35;
e150.. - x2 + x4 + 40*b53 =L= 35.5;
e151.. - x2 + x5 + 40*b54 =L= 34.5;
e152.. - x2 + x6 + 40*b55 =L= 34;
e153.. - x2 + x7 + 40*b56 =L= 32.5;
e154.. - x2 + x8 + 40*b57 =L= 34.5;
e155.. - x3 + x4 + 40*b58 =L= 37.5;
e156.. - x3 + x5 + 40*b59 =L= 36.5;
e157.. - x3 + x6 + 40*b60 =L= 36;
e158.. - x3 + x7 + 40*b61 =L= 34.5;
e159.. - x3 + x8 + 40*b62 =L= 36.5;
e160.. - x4 + x5 + 40*b63 =L= 37;
e161.. - x4 + x6 + 40*b64 =L= 36.5;
e162.. - x4 + x7 + 40*b65 =L= 35;
e163.. - x4 + x8 + 40*b66 =L= 37;
e164.. - x5 + x6 + 40*b67 =L= 35.5;
e165.. - x5 + x7 + 40*b68 =L= 34;
e166.. - x5 + x8 + 40*b69 =L= 36;
e167.. - x6 + x7 + 40*b70 =L= 33.5;
e168.. - x6 + x8 + 40*b71 =L= 35.5;
e169.. - x7 + x8 + 40*b72 =L= 34;
e170.. x9 - x10 + 40*b73 =L= 34.5;
e171.. x9 - x11 + 40*b74 =L= 35.5;
e172.. x9 - x12 + 40*b75 =L= 35.5;
e173.. x9 - x13 + 40*b76 =L= 35;
e174.. x9 - x14 + 40*b77 =L= 36;
e175.. x9 - x15 + 40*b78 =L= 34;
e176.. x9 - x16 + 40*b79 =L= 34;
e177.. x10 - x11 + 40*b80 =L= 36;
e178.. x10 - x12 + 40*b81 =L= 36;
e179.. x10 - x13 + 40*b82 =L= 35.5;
e180.. x10 - x14 + 40*b83 =L= 36.5;
e181.. x10 - x15 + 40*b84 =L= 34.5;
e182.. x10 - x16 + 40*b85 =L= 34.5;
e183.. x11 - x12 + 40*b86 =L= 37;
e184.. x11 - x13 + 40*b87 =L= 36.5;
e185.. x11 - x14 + 40*b88 =L= 37.5;
e186.. x11 - x15 + 40*b89 =L= 35.5;
e187.. x11 - x16 + 40*b90 =L= 35.5;
e188.. x12 - x13 + 40*b91 =L= 36.5;
e189.. x12 - x14 + 40*b92 =L= 37.5;
e190.. x12 - x15 + 40*b93 =L= 35.5;
e191.. x12 - x16 + 40*b94 =L= 35.5;
e192.. x13 - x14 + 40*b95 =L= 37;
e193.. x13 - x15 + 40*b96 =L= 35;
e194.. x13 - x16 + 40*b97 =L= 35;
e195.. x14 - x15 + 40*b98 =L= 36;
e196.. x14 - x16 + 40*b99 =L= 36;
e197.. x15 - x16 + 40*b100 =L= 34;
e198.. - x9 + x10 + 40*b101 =L= 34.5;
e199.. - x9 + x11 + 40*b102 =L= 35.5;
e200.. - x9 + x12 + 40*b103 =L= 35.5;
e201.. - x9 + x13 + 40*b104 =L= 35;
e202.. - x9 + x14 + 40*b105 =L= 36;
e203.. - x9 + x15 + 40*b106 =L= 34;
e204.. - x9 + x16 + 40*b107 =L= 34;
e205.. - x10 + x11 + 40*b108 =L= 36;
e206.. - x10 + x12 + 40*b109 =L= 36;
e207.. - x10 + x13 + 40*b110 =L= 35.5;
e208.. - x10 + x14 + 40*b111 =L= 36.5;
e209.. - x10 + x15 + 40*b112 =L= 34.5;
e210.. - x10 + x16 + 40*b113 =L= 34.5;
e211.. - x11 + x12 + 40*b114 =L= 37;
e212.. - x11 + x13 + 40*b115 =L= 36.5;
e213.. - x11 + x14 + 40*b116 =L= 37.5;
e214.. - x11 + x15 + 40*b117 =L= 35.5;
e215.. - x11 + x16 + 40*b118 =L= 35.5;
e216.. - x12 + x13 + 40*b119 =L= 36.5;
e217.. - x12 + x14 + 40*b120 =L= 37.5;
e218.. - x12 + x15 + 40*b121 =L= 35.5;
e219.. - x12 + x16 + 40*b122 =L= 35.5;
e220.. - x13 + x14 + 40*b123 =L= 37;
e221.. - x13 + x15 + 40*b124 =L= 35;
e222.. - x13 + x16 + 40*b125 =L= 35;
e223.. - x14 + x15 + 40*b126 =L= 36;
e224.. - x14 + x16 + 40*b127 =L= 36;
e225.. - x15 + x16 + 40*b128 =L= 34;
e226.. b17 + b45 + b73 + b101 =E= 1;
e227.. b18 + b46 + b74 + b102 =E= 1;
e228.. b19 + b47 + b75 + b103 =E= 1;
e229.. b20 + b48 + b76 + b104 =E= 1;
e230.. b21 + b49 + b77 + b105 =E= 1;
e231.. b22 + b50 + b78 + b106 =E= 1;
e232.. b23 + b51 + b79 + b107 =E= 1;
e233.. b24 + b52 + b80 + b108 =E= 1;
e234.. b25 + b53 + b81 + b109 =E= 1;
e235.. b26 + b54 + b82 + b110 =E= 1;
e236.. b27 + b55 + b83 + b111 =E= 1;
e237.. b28 + b56 + b84 + b112 =E= 1;
e238.. b29 + b57 + b85 + b113 =E= 1;
e239.. b30 + b58 + b86 + b114 =E= 1;
e240.. b31 + b59 + b87 + b115 =E= 1;
e241.. b32 + b60 + b88 + b116 =E= 1;
e242.. b33 + b61 + b89 + b117 =E= 1;
e243.. b34 + b62 + b90 + b118 =E= 1;
e244.. b35 + b63 + b91 + b119 =E= 1;
e245.. b36 + b64 + b92 + b120 =E= 1;
e246.. b37 + b65 + b93 + b121 =E= 1;
e247.. b38 + b66 + b94 + b122 =E= 1;
e248.. b39 + b67 + b95 + b123 =E= 1;
e249.. b40 + b68 + b96 + b124 =E= 1;
e250.. b41 + b69 + b97 + b125 =E= 1;
e251.. b42 + b70 + b98 + b126 =E= 1;
e252.. b43 + b71 + b99 + b127 =E= 1;
e253.. b44 + b72 + b100 + b128 =E= 1;
* set non-default bounds
x1.lo = 2.5; x1.up = 37.5;
x2.lo = 3.5; x2.up = 36.5;
x3.lo = 1.5; x3.up = 38.5;
x4.lo = 1; x4.up = 39;
x5.lo = 2; x5.up = 38;
x6.lo = 2.5; x6.up = 37.5;
x7.lo = 4; x7.up = 36;
x8.lo = 2; x8.up = 38;
x9.lo = 3; x9.up = 37;
x10.lo = 2.5; x10.up = 37.5;
x11.lo = 1.5; x11.up = 38.5;
x12.lo = 1.5; x12.up = 38.5;
x13.lo = 2; x13.up = 38;
x14.lo = 1; x14.up = 39;
x15.lo = 3; x15.up = 37;
x16.lo = 3; x16.up = 37;
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