MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

Home // Instances // Documentation // Download // Statistics


Instance slay05h

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)
22664.67865000 p1 ( gdx sol )
(infeas: 1e-14)
Other points (infeas > 1e-08)  
Dual Bounds
21760.85700000 (ALPHAECP)
22664.67829000 (ANTIGONE)
22664.67865000 (BARON)
22664.67865000 (BONMIN)
22664.67828000 (COUENNE)
22664.67865000 (CPLEX)
22664.67865000 (GUROBI)
22664.67865000 (LINDO)
22664.67865000 (SCIP)
22664.67865000 (SHOT)
References Sawaya, Nicolas W, Reformulations, relaxations and cutting planes for generalized disjunctive programming, PhD thesis, Carnegie Mellon University, 2006.
Source SLay05H.gms from CMU-IBM MINLP solver project page
Application Layout
Added to library 28 Sep 2013
Problem type MBQP
#Variables 230
#Binary Variables 40
#Integer Variables 0
#Nonlinear Variables 10
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type quadratic
Objective curvature convex
#Nonzeros in Objective 30
#Nonlinear Nonzeros in Objective 10
#Constraints 290
#Linear Constraints 290
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature linear
#Nonzeros in Jacobian 800
#Nonlinear Nonzeros in Jacobian 0
#Nonzeros in (Upper-Left) Hessian of Lagrangian 10
#Nonzeros in Diagonal of Hessian of Lagrangian 10
#Blocks in Hessian of Lagrangian 10
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 3.9000e+02
Infeasibility of initial point 3.5
Sparsity Jacobian Sparsity of Objective Gradient and Jacobian
Sparsity Hessian of Lagrangian Sparsity of Hessian of Lagrangian

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        291       51       40      200        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        231      191       40        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*        831      821       10        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,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,b210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
          ,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,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,x211,x212
          ,x213,x214,x215,x216,x217,x218,x219,x220,x221,x222,x223,x224,x225
          ,x226,x227,x228,x229,x230;

Binary Variables  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,b210;

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;


e1.. -(150*(sqr((-4) + x1) + sqr((-10) + x6)) + 390*(sqr((-10) + x2) + sqr((-15
     ) + x7)) + 240*(sqr((-7) + x3) + sqr((-9) + x8)) + 70*(sqr((-3) + x4) + 
     sqr((-3) + x9)) + 165*(sqr((-20) + x5) + sqr((-17) + x10))) - 300*x211
      - 240*x212 - 210*x213 - 140*x214 - 100*x215 - 150*x216 - 220*x217
      - 120*x218 - 300*x219 - 100*x220 - 300*x221 - 240*x222 - 210*x223
      - 140*x224 - 100*x225 - 150*x226 - 220*x227 - 120*x228 - 300*x229
      - 100*x230 + objvar =E= 0;

e2..  - x1 + x2 + x211 =G= 0;

e3..  - x1 + x3 + x212 =G= 0;

e4..  - x1 + x4 + x213 =G= 0;

e5..  - x1 + x5 + x214 =G= 0;

e6..  - x2 + x3 + x215 =G= 0;

e7..  - x2 + x4 + x216 =G= 0;

e8..  - x2 + x5 + x217 =G= 0;

e9..  - x3 + x4 + x218 =G= 0;

e10..  - x3 + x5 + x219 =G= 0;

e11..  - x4 + x5 + x220 =G= 0;

e12..    x1 - x2 + x211 =G= 0;

e13..    x1 - x3 + x212 =G= 0;

e14..    x1 - x4 + x213 =G= 0;

e15..    x1 - x5 + x214 =G= 0;

e16..    x2 - x3 + x215 =G= 0;

e17..    x2 - x4 + x216 =G= 0;

e18..    x2 - x5 + x217 =G= 0;

e19..    x3 - x4 + x218 =G= 0;

e20..    x3 - x5 + x219 =G= 0;

e21..    x4 - x5 + x220 =G= 0;

e22..  - x6 + x7 + x221 =G= 0;

e23..  - x6 + x8 + x222 =G= 0;

e24..  - x6 + x9 + x223 =G= 0;

e25..  - x6 + x10 + x224 =G= 0;

e26..  - x7 + x8 + x225 =G= 0;

e27..  - x7 + x9 + x226 =G= 0;

e28..  - x7 + x10 + x227 =G= 0;

e29..  - x8 + x9 + x228 =G= 0;

e30..  - x8 + x10 + x229 =G= 0;

e31..  - x9 + x10 + x230 =G= 0;

e32..    x6 - x7 + x221 =G= 0;

e33..    x6 - x8 + x222 =G= 0;

e34..    x6 - x9 + x223 =G= 0;

e35..    x6 - x10 + x224 =G= 0;

e36..    x7 - x8 + x225 =G= 0;

e37..    x7 - x9 + x226 =G= 0;

e38..    x7 - x10 + x227 =G= 0;

e39..    x8 - x9 + x228 =G= 0;

e40..    x8 - x10 + x229 =G= 0;

e41..    x9 - x10 + x230 =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 - 27.5*b171 =L= 0;

e83..    x12 - 27.5*b172 =L= 0;

e84..    x13 - 27.5*b173 =L= 0;

e85..    x14 - 27.5*b174 =L= 0;

e86..    x15 - 27.5*b181 =L= 0;

e87..    x16 - 27.5*b182 =L= 0;

e88..    x17 - 27.5*b183 =L= 0;

e89..    x18 - 27.5*b184 =L= 0;

e90..    x19 - 27.5*b191 =L= 0;

e91..    x20 - 27.5*b192 =L= 0;

e92..    x21 - 27.5*b193 =L= 0;

e93..    x22 - 27.5*b194 =L= 0;

e94..    x23 - 27.5*b201 =L= 0;

e95..    x24 - 27.5*b202 =L= 0;

e96..    x25 - 27.5*b203 =L= 0;

e97..    x26 - 27.5*b204 =L= 0;

e98..    x27 - 27.5*b171 =L= 0;

e99..    x28 - 26.5*b175 =L= 0;

e100..    x29 - 26.5*b176 =L= 0;

e101..    x30 - 26.5*b177 =L= 0;

e102..    x31 - 27.5*b181 =L= 0;

e103..    x32 - 26.5*b185 =L= 0;

e104..    x33 - 26.5*b186 =L= 0;

e105..    x34 - 26.5*b187 =L= 0;

e106..    x35 - 27.5*b191 =L= 0;

e107..    x36 - 26.5*b195 =L= 0;

e108..    x37 - 26.5*b196 =L= 0;

e109..    x38 - 26.5*b197 =L= 0;

e110..    x39 - 27.5*b201 =L= 0;

e111..    x40 - 26.5*b205 =L= 0;

e112..    x41 - 26.5*b206 =L= 0;

e113..    x42 - 26.5*b207 =L= 0;

e114..    x43 - 27.5*b172 =L= 0;

e115..    x44 - 26.5*b175 =L= 0;

e116..    x45 - 28.5*b178 =L= 0;

e117..    x46 - 28.5*b179 =L= 0;

e118..    x47 - 27.5*b182 =L= 0;

e119..    x48 - 26.5*b185 =L= 0;

e120..    x49 - 28.5*b188 =L= 0;

e121..    x50 - 28.5*b189 =L= 0;

e122..    x51 - 27.5*b192 =L= 0;

e123..    x52 - 26.5*b195 =L= 0;

e124..    x53 - 28.5*b198 =L= 0;

e125..    x54 - 28.5*b199 =L= 0;

e126..    x55 - 27.5*b202 =L= 0;

e127..    x56 - 26.5*b205 =L= 0;

e128..    x57 - 28.5*b208 =L= 0;

e129..    x58 - 28.5*b209 =L= 0;

e130..    x59 - 27.5*b173 =L= 0;

e131..    x60 - 26.5*b176 =L= 0;

e132..    x61 - 28.5*b178 =L= 0;

e133..    x62 - 29*b180 =L= 0;

e134..    x63 - 27.5*b183 =L= 0;

e135..    x64 - 26.5*b186 =L= 0;

e136..    x65 - 28.5*b188 =L= 0;

e137..    x66 - 29*b190 =L= 0;

e138..    x67 - 27.5*b193 =L= 0;

e139..    x68 - 26.5*b196 =L= 0;

e140..    x69 - 28.5*b198 =L= 0;

e141..    x70 - 29*b200 =L= 0;

e142..    x71 - 27.5*b203 =L= 0;

e143..    x72 - 26.5*b206 =L= 0;

e144..    x73 - 28.5*b208 =L= 0;

e145..    x74 - 29*b210 =L= 0;

e146..    x75 - 27.5*b174 =L= 0;

e147..    x76 - 26.5*b177 =L= 0;

e148..    x77 - 28.5*b179 =L= 0;

e149..    x78 - 29*b180 =L= 0;

e150..    x79 - 27.5*b184 =L= 0;

e151..    x80 - 26.5*b187 =L= 0;

e152..    x81 - 28.5*b189 =L= 0;

e153..    x82 - 29*b190 =L= 0;

e154..    x83 - 27.5*b194 =L= 0;

e155..    x84 - 26.5*b197 =L= 0;

e156..    x85 - 28.5*b199 =L= 0;

e157..    x86 - 29*b200 =L= 0;

e158..    x87 - 27.5*b204 =L= 0;

e159..    x88 - 26.5*b207 =L= 0;

e160..    x89 - 28.5*b209 =L= 0;

e161..    x90 - 29*b210 =L= 0;

e162..    x91 - 27*b171 =L= 0;

e163..    x92 - 27*b172 =L= 0;

e164..    x93 - 27*b173 =L= 0;

e165..    x94 - 27*b174 =L= 0;

e166..    x95 - 27*b181 =L= 0;

e167..    x96 - 27*b182 =L= 0;

e168..    x97 - 27*b183 =L= 0;

e169..    x98 - 27*b184 =L= 0;

e170..    x99 - 27*b191 =L= 0;

e171..    x100 - 27*b192 =L= 0;

e172..    x101 - 27*b193 =L= 0;

e173..    x102 - 27*b194 =L= 0;

e174..    x103 - 27*b201 =L= 0;

e175..    x104 - 27*b202 =L= 0;

e176..    x105 - 27*b203 =L= 0;

e177..    x106 - 27*b204 =L= 0;

e178..    x107 - 27*b171 =L= 0;

e179..    x108 - 27.5*b175 =L= 0;

e180..    x109 - 27.5*b176 =L= 0;

e181..    x110 - 27.5*b177 =L= 0;

e182..    x111 - 27*b181 =L= 0;

e183..    x112 - 27.5*b185 =L= 0;

e184..    x113 - 27.5*b186 =L= 0;

e185..    x114 - 27.5*b187 =L= 0;

e186..    x115 - 27*b191 =L= 0;

e187..    x116 - 27.5*b195 =L= 0;

e188..    x117 - 27.5*b196 =L= 0;

e189..    x118 - 27.5*b197 =L= 0;

e190..    x119 - 27*b201 =L= 0;

e191..    x120 - 27.5*b205 =L= 0;

e192..    x121 - 27.5*b206 =L= 0;

e193..    x122 - 27.5*b207 =L= 0;

e194..    x123 - 27*b172 =L= 0;

e195..    x124 - 27.5*b175 =L= 0;

e196..    x125 - 28.5*b178 =L= 0;

e197..    x126 - 28.5*b179 =L= 0;

e198..    x127 - 27*b182 =L= 0;

e199..    x128 - 27.5*b185 =L= 0;

e200..    x129 - 28.5*b188 =L= 0;

e201..    x130 - 28.5*b189 =L= 0;

e202..    x131 - 27*b192 =L= 0;

e203..    x132 - 27.5*b195 =L= 0;

e204..    x133 - 28.5*b198 =L= 0;

e205..    x134 - 28.5*b199 =L= 0;

e206..    x135 - 27*b202 =L= 0;

e207..    x136 - 27.5*b205 =L= 0;

e208..    x137 - 28.5*b208 =L= 0;

e209..    x138 - 28.5*b209 =L= 0;

e210..    x139 - 27*b173 =L= 0;

e211..    x140 - 27.5*b176 =L= 0;

e212..    x141 - 28.5*b178 =L= 0;

e213..    x142 - 28.5*b180 =L= 0;

e214..    x143 - 27*b183 =L= 0;

e215..    x144 - 27.5*b186 =L= 0;

e216..    x145 - 28.5*b188 =L= 0;

e217..    x146 - 28.5*b190 =L= 0;

e218..    x147 - 27*b193 =L= 0;

e219..    x148 - 27.5*b196 =L= 0;

e220..    x149 - 28.5*b198 =L= 0;

e221..    x150 - 28.5*b200 =L= 0;

e222..    x151 - 27*b203 =L= 0;

e223..    x152 - 27.5*b206 =L= 0;

e224..    x153 - 28.5*b208 =L= 0;

e225..    x154 - 28.5*b210 =L= 0;

e226..    x155 - 27*b174 =L= 0;

e227..    x156 - 27.5*b177 =L= 0;

e228..    x157 - 28.5*b179 =L= 0;

e229..    x158 - 28.5*b180 =L= 0;

e230..    x159 - 27*b184 =L= 0;

e231..    x160 - 27.5*b187 =L= 0;

e232..    x161 - 28.5*b189 =L= 0;

e233..    x162 - 28.5*b190 =L= 0;

e234..    x163 - 27*b194 =L= 0;

e235..    x164 - 27.5*b197 =L= 0;

e236..    x165 - 28.5*b199 =L= 0;

e237..    x166 - 28.5*b200 =L= 0;

e238..    x167 - 27*b204 =L= 0;

e239..    x168 - 27.5*b207 =L= 0;

e240..    x169 - 28.5*b209 =L= 0;

e241..    x170 - 28.5*b210 =L= 0;

e242..    x11 - x27 + 6*b171 =L= 0;

e243..    x12 - x43 + 4*b172 =L= 0;

e244..    x13 - x59 + 3.5*b173 =L= 0;

e245..    x14 - x75 + 4.5*b174 =L= 0;

e246..    x28 - x44 + 5*b175 =L= 0;

e247..    x29 - x60 + 4.5*b176 =L= 0;

e248..    x30 - x76 + 5.5*b177 =L= 0;

e249..    x45 - x61 + 2.5*b178 =L= 0;

e250..    x46 - x77 + 3.5*b179 =L= 0;

e251..    x62 - x78 + 3*b180 =L= 0;

e252..  - x15 + x31 + 6*b181 =L= 0;

e253..  - x16 + x47 + 4*b182 =L= 0;

e254..  - x17 + x63 + 3.5*b183 =L= 0;

e255..  - x18 + x79 + 4.5*b184 =L= 0;

e256..  - x32 + x48 + 5*b185 =L= 0;

e257..  - x33 + x64 + 4.5*b186 =L= 0;

e258..  - x34 + x80 + 5.5*b187 =L= 0;

e259..  - x49 + x65 + 2.5*b188 =L= 0;

e260..  - x50 + x81 + 3.5*b189 =L= 0;

e261..  - x66 + x82 + 3*b190 =L= 0;

e262..    x99 - x115 + 5.5*b191 =L= 0;

e263..    x100 - x131 + 4.5*b192 =L= 0;

e264..    x101 - x147 + 4.5*b193 =L= 0;

e265..    x102 - x163 + 5*b194 =L= 0;

e266..    x116 - x132 + 4*b195 =L= 0;

e267..    x117 - x148 + 4*b196 =L= 0;

e268..    x118 - x164 + 4.5*b197 =L= 0;

e269..    x133 - x149 + 3*b198 =L= 0;

e270..    x134 - x165 + 3.5*b199 =L= 0;

e271..    x150 - x166 + 3.5*b200 =L= 0;

e272..  - x103 + x119 + 5.5*b201 =L= 0;

e273..  - x104 + x135 + 4.5*b202 =L= 0;

e274..  - x105 + x151 + 4.5*b203 =L= 0;

e275..  - x106 + x167 + 5*b204 =L= 0;

e276..  - x120 + x136 + 4*b205 =L= 0;

e277..  - x121 + x152 + 4*b206 =L= 0;

e278..  - x122 + x168 + 4.5*b207 =L= 0;

e279..  - x137 + x153 + 3*b208 =L= 0;

e280..  - x138 + x169 + 3.5*b209 =L= 0;

e281..  - x154 + x170 + 3.5*b210 =L= 0;

e282..    b171 + b181 + b191 + b201 =E= 1;

e283..    b172 + b182 + b192 + b202 =E= 1;

e284..    b173 + b183 + b193 + b203 =E= 1;

e285..    b174 + b184 + b194 + b204 =E= 1;

e286..    b175 + b185 + b195 + b205 =E= 1;

e287..    b176 + b186 + b196 + b206 =E= 1;

e288..    b177 + b187 + b197 + b207 =E= 1;

e289..    b178 + b188 + b198 + b208 =E= 1;

e290..    b179 + b189 + b199 + b209 =E= 1;

e291..    b180 + b190 + b200 + b210 =E= 1;

* set non-default bounds
x1.lo = 2.5; x1.up = 27.5;
x2.lo = 3.5; x2.up = 26.5;
x3.lo = 1.5; x3.up = 28.5;
x4.lo = 1; x4.up = 29;
x5.lo = 2; x5.up = 28;
x6.lo = 3; x6.up = 27;
x7.lo = 2.5; x7.up = 27.5;
x8.lo = 1.5; x8.up = 28.5;
x9.lo = 1.5; x9.up = 28.5;
x10.lo = 2; x10.up = 28;

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: 2024-08-26 Git hash: 6cc1607f
Imprint / Privacy Policy / License: CC-BY 4.0