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Instance slay06h

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)
32757.02018000 p1 ( gdx sol )
(infeas: 1e-14)
Other points (infeas > 1e-08)  
Dual Bounds
32757.02000000 (ALPHAECP)
32757.01960000 (ANTIGONE)
32757.02015000 (BARON)
32757.02000000 (BONMIN)
32757.02000000 (COUENNE)
32757.02018000 (CPLEX)
32757.02018000 (GUROBI)
32757.02018000 (LINDO)
32757.02018000 (SCIP)
32757.02018000 (SHOT)
References Sawaya, Nicolas W, Reformulations, relaxations and cutting planes for generalized disjunctive programming, PhD thesis, Carnegie Mellon University, 2006.
Source SLay06H.gms from CMU-IBM MINLP solver project page
Application Layout
Added to library 28 Sep 2013
Problem type MBQP
#Variables 342
#Binary Variables 60
#Integer Variables 0
#Nonlinear Variables 12
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type quadratic
Objective curvature convex
#Nonzeros in Objective 42
#Nonlinear Nonzeros in Objective 12
#Constraints 435
#Linear Constraints 435
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature linear
#Nonzeros in Jacobian 1200
#Nonlinear Nonzeros in Jacobian 0
#Nonzeros in (Upper-Left) Hessian of Lagrangian 12
#Nonzeros in Diagonal of Hessian of Lagrangian 12
#Blocks in Hessian of Lagrangian 12
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
*        436       76       60      300        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        343      283       60        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1243     1231       12        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,x191,x192,x193,x194
          ,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206,x207
          ,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
          ,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232,x233
          ,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245,x246
          ,x247,x248,x249,x250,x251,x252,b253,b254,b255,b256,b257,b258,b259
          ,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271,b272
          ,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284,b285
          ,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297,b298
          ,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,b309,b310,b311
          ,b312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324
          ,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336,x337
          ,x338,x339,x340,x341,x342,objvar;

Positive Variables  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,x191,x192,x193,x194,x195,x196,x197,x198,x199
          ,x200,x201,x202,x203,x204,x205,x206,x207,x208,x209,x210,x211,x212
          ,x213,x214,x215,x216,x217,x218,x219,x220,x221,x222,x223,x224,x225
          ,x226,x227,x228,x229,x230,x231,x232,x233,x234,x235,x236,x237,x238
          ,x239,x240,x241,x242,x243,x244,x245,x246,x247,x248,x249,x250,x251
          ,x252,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324
          ,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336,x337
          ,x338,x339,x340,x341,x342;

Binary Variables  b253,b254,b255,b256,b257,b258,b259,b260,b261,b262,b263,b264
          ,b265,b266,b267,b268,b269,b270,b271,b272,b273,b274,b275,b276,b277
          ,b278,b279,b280,b281,b282,b283,b284,b285,b286,b287,b288,b289,b290
          ,b291,b292,b293,b294,b295,b296,b297,b298,b299,b300,b301,b302,b303
          ,b304,b305,b306,b307,b308,b309,b310,b311,b312;

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,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
          ,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
          ,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
          ,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
          ,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
          ,e429,e430,e431,e432,e433,e434,e435,e436;


e1.. -(150*(sqr((-4) + x1) + sqr((-10) + x7)) + 390*(sqr((-10) + x2) + sqr((-15
     ) + x8)) + 240*(sqr((-7) + x3) + sqr((-9) + x9)) + 70*(sqr((-3) + x4) + 
     sqr((-3) + x10)) + 165*(sqr((-20) + x5) + sqr((-17) + x11)) + 100*(sqr((-
     18) + x6) + sqr((-8) + x12))) - 300*x313 - 240*x314 - 210*x315 - 140*x316
      - 300*x317 - 100*x318 - 150*x319 - 220*x320 - 200*x321 - 120*x322
      - 300*x323 - 150*x324 - 100*x325 - 120*x326 - 130*x327 - 300*x328
      - 240*x329 - 210*x330 - 140*x331 - 300*x332 - 100*x333 - 150*x334
      - 220*x335 - 200*x336 - 120*x337 - 300*x338 - 150*x339 - 100*x340
      - 120*x341 - 130*x342 + objvar =E= 0;

e2..  - x1 + x2 + x313 =G= 0;

e3..  - x1 + x3 + x314 =G= 0;

e4..  - x1 + x4 + x315 =G= 0;

e5..  - x1 + x5 + x316 =G= 0;

e6..  - x1 + x6 + x317 =G= 0;

e7..  - x2 + x3 + x318 =G= 0;

e8..  - x2 + x4 + x319 =G= 0;

e9..  - x2 + x5 + x320 =G= 0;

e10..  - x2 + x6 + x321 =G= 0;

e11..  - x3 + x4 + x322 =G= 0;

e12..  - x3 + x5 + x323 =G= 0;

e13..  - x3 + x6 + x324 =G= 0;

e14..  - x4 + x5 + x325 =G= 0;

e15..  - x4 + x6 + x326 =G= 0;

e16..  - x5 + x6 + x327 =G= 0;

e17..    x1 - x2 + x313 =G= 0;

e18..    x1 - x3 + x314 =G= 0;

e19..    x1 - x4 + x315 =G= 0;

e20..    x1 - x5 + x316 =G= 0;

e21..    x1 - x6 + x317 =G= 0;

e22..    x2 - x3 + x318 =G= 0;

e23..    x2 - x4 + x319 =G= 0;

e24..    x2 - x5 + x320 =G= 0;

e25..    x2 - x6 + x321 =G= 0;

e26..    x3 - x4 + x322 =G= 0;

e27..    x3 - x5 + x323 =G= 0;

e28..    x3 - x6 + x324 =G= 0;

e29..    x4 - x5 + x325 =G= 0;

e30..    x4 - x6 + x326 =G= 0;

e31..    x5 - x6 + x327 =G= 0;

e32..  - x7 + x8 + x328 =G= 0;

e33..  - x7 + x9 + x329 =G= 0;

e34..  - x7 + x10 + x330 =G= 0;

e35..  - x7 + x11 + x331 =G= 0;

e36..  - x7 + x12 + x332 =G= 0;

e37..  - x8 + x9 + x333 =G= 0;

e38..  - x8 + x10 + x334 =G= 0;

e39..  - x8 + x11 + x335 =G= 0;

e40..  - x8 + x12 + x336 =G= 0;

e41..  - x9 + x10 + x337 =G= 0;

e42..  - x9 + x11 + x338 =G= 0;

e43..  - x9 + x12 + x339 =G= 0;

e44..  - x10 + x11 + x340 =G= 0;

e45..  - x10 + x12 + x341 =G= 0;

e46..  - x11 + x12 + x342 =G= 0;

e47..    x7 - x8 + x328 =G= 0;

e48..    x7 - x9 + x329 =G= 0;

e49..    x7 - x10 + x330 =G= 0;

e50..    x7 - x11 + x331 =G= 0;

e51..    x7 - x12 + x332 =G= 0;

e52..    x8 - x9 + x333 =G= 0;

e53..    x8 - x10 + x334 =G= 0;

e54..    x8 - x11 + x335 =G= 0;

e55..    x8 - x12 + x336 =G= 0;

e56..    x9 - x10 + x337 =G= 0;

e57..    x9 - x11 + x338 =G= 0;

e58..    x9 - x12 + x339 =G= 0;

e59..    x10 - x11 + x340 =G= 0;

e60..    x10 - x12 + x341 =G= 0;

e61..    x11 - x12 + x342 =G= 0;

e62..    x1 - x13 - x18 - x23 - x28 =E= 0;

e63..    x1 - x14 - x19 - x24 - x29 =E= 0;

e64..    x1 - x15 - x20 - x25 - x30 =E= 0;

e65..    x1 - x16 - x21 - x26 - x31 =E= 0;

e66..    x1 - x17 - x22 - x27 - x32 =E= 0;

e67..    x2 - x33 - x38 - x43 - x48 =E= 0;

e68..    x2 - x34 - x39 - x44 - x49 =E= 0;

e69..    x2 - x35 - x40 - x45 - x50 =E= 0;

e70..    x2 - x36 - x41 - x46 - x51 =E= 0;

e71..    x2 - x37 - x42 - x47 - x52 =E= 0;

e72..    x3 - x53 - x58 - x63 - x68 =E= 0;

e73..    x3 - x54 - x59 - x64 - x69 =E= 0;

e74..    x3 - x55 - x60 - x65 - x70 =E= 0;

e75..    x3 - x56 - x61 - x66 - x71 =E= 0;

e76..    x3 - x57 - x62 - x67 - x72 =E= 0;

e77..    x4 - x73 - x78 - x83 - x88 =E= 0;

e78..    x4 - x74 - x79 - x84 - x89 =E= 0;

e79..    x4 - x75 - x80 - x85 - x90 =E= 0;

e80..    x4 - x76 - x81 - x86 - x91 =E= 0;

e81..    x4 - x77 - x82 - x87 - x92 =E= 0;

e82..    x5 - x93 - x98 - x103 - x108 =E= 0;

e83..    x5 - x94 - x99 - x104 - x109 =E= 0;

e84..    x5 - x95 - x100 - x105 - x110 =E= 0;

e85..    x5 - x96 - x101 - x106 - x111 =E= 0;

e86..    x5 - x97 - x102 - x107 - x112 =E= 0;

e87..    x6 - x113 - x118 - x123 - x128 =E= 0;

e88..    x6 - x114 - x119 - x124 - x129 =E= 0;

e89..    x6 - x115 - x120 - x125 - x130 =E= 0;

e90..    x6 - x116 - x121 - x126 - x131 =E= 0;

e91..    x6 - x117 - x122 - x127 - x132 =E= 0;

e92..    x7 - x133 - x138 - x143 - x148 =E= 0;

e93..    x7 - x134 - x139 - x144 - x149 =E= 0;

e94..    x7 - x135 - x140 - x145 - x150 =E= 0;

e95..    x7 - x136 - x141 - x146 - x151 =E= 0;

e96..    x7 - x137 - x142 - x147 - x152 =E= 0;

e97..    x8 - x153 - x158 - x163 - x168 =E= 0;

e98..    x8 - x154 - x159 - x164 - x169 =E= 0;

e99..    x8 - x155 - x160 - x165 - x170 =E= 0;

e100..    x8 - x156 - x161 - x166 - x171 =E= 0;

e101..    x8 - x157 - x162 - x167 - x172 =E= 0;

e102..    x9 - x173 - x178 - x183 - x188 =E= 0;

e103..    x9 - x174 - x179 - x184 - x189 =E= 0;

e104..    x9 - x175 - x180 - x185 - x190 =E= 0;

e105..    x9 - x176 - x181 - x186 - x191 =E= 0;

e106..    x9 - x177 - x182 - x187 - x192 =E= 0;

e107..    x10 - x193 - x198 - x203 - x208 =E= 0;

e108..    x10 - x194 - x199 - x204 - x209 =E= 0;

e109..    x10 - x195 - x200 - x205 - x210 =E= 0;

e110..    x10 - x196 - x201 - x206 - x211 =E= 0;

e111..    x10 - x197 - x202 - x207 - x212 =E= 0;

e112..    x11 - x213 - x218 - x223 - x228 =E= 0;

e113..    x11 - x214 - x219 - x224 - x229 =E= 0;

e114..    x11 - x215 - x220 - x225 - x230 =E= 0;

e115..    x11 - x216 - x221 - x226 - x231 =E= 0;

e116..    x11 - x217 - x222 - x227 - x232 =E= 0;

e117..    x12 - x233 - x238 - x243 - x248 =E= 0;

e118..    x12 - x234 - x239 - x244 - x249 =E= 0;

e119..    x12 - x235 - x240 - x245 - x250 =E= 0;

e120..    x12 - x236 - x241 - x246 - x251 =E= 0;

e121..    x12 - x237 - x242 - x247 - x252 =E= 0;

e122..    x13 - 27.5*b253 =L= 0;

e123..    x14 - 27.5*b254 =L= 0;

e124..    x15 - 27.5*b255 =L= 0;

e125..    x16 - 27.5*b256 =L= 0;

e126..    x17 - 27.5*b257 =L= 0;

e127..    x18 - 27.5*b268 =L= 0;

e128..    x19 - 27.5*b269 =L= 0;

e129..    x20 - 27.5*b270 =L= 0;

e130..    x21 - 27.5*b271 =L= 0;

e131..    x22 - 27.5*b272 =L= 0;

e132..    x23 - 27.5*b283 =L= 0;

e133..    x24 - 27.5*b284 =L= 0;

e134..    x25 - 27.5*b285 =L= 0;

e135..    x26 - 27.5*b286 =L= 0;

e136..    x27 - 27.5*b287 =L= 0;

e137..    x28 - 27.5*b298 =L= 0;

e138..    x29 - 27.5*b299 =L= 0;

e139..    x30 - 27.5*b300 =L= 0;

e140..    x31 - 27.5*b301 =L= 0;

e141..    x32 - 27.5*b302 =L= 0;

e142..    x33 - 27.5*b253 =L= 0;

e143..    x34 - 26.5*b258 =L= 0;

e144..    x35 - 26.5*b259 =L= 0;

e145..    x36 - 26.5*b260 =L= 0;

e146..    x37 - 26.5*b261 =L= 0;

e147..    x38 - 27.5*b268 =L= 0;

e148..    x39 - 26.5*b273 =L= 0;

e149..    x40 - 26.5*b274 =L= 0;

e150..    x41 - 26.5*b275 =L= 0;

e151..    x42 - 26.5*b276 =L= 0;

e152..    x43 - 27.5*b283 =L= 0;

e153..    x44 - 26.5*b288 =L= 0;

e154..    x45 - 26.5*b289 =L= 0;

e155..    x46 - 26.5*b290 =L= 0;

e156..    x47 - 26.5*b291 =L= 0;

e157..    x48 - 27.5*b298 =L= 0;

e158..    x49 - 26.5*b303 =L= 0;

e159..    x50 - 26.5*b304 =L= 0;

e160..    x51 - 26.5*b305 =L= 0;

e161..    x52 - 26.5*b306 =L= 0;

e162..    x53 - 27.5*b254 =L= 0;

e163..    x54 - 26.5*b258 =L= 0;

e164..    x55 - 28.5*b262 =L= 0;

e165..    x56 - 28.5*b263 =L= 0;

e166..    x57 - 28.5*b264 =L= 0;

e167..    x58 - 27.5*b269 =L= 0;

e168..    x59 - 26.5*b273 =L= 0;

e169..    x60 - 28.5*b277 =L= 0;

e170..    x61 - 28.5*b278 =L= 0;

e171..    x62 - 28.5*b279 =L= 0;

e172..    x63 - 27.5*b284 =L= 0;

e173..    x64 - 26.5*b288 =L= 0;

e174..    x65 - 28.5*b292 =L= 0;

e175..    x66 - 28.5*b293 =L= 0;

e176..    x67 - 28.5*b294 =L= 0;

e177..    x68 - 27.5*b299 =L= 0;

e178..    x69 - 26.5*b303 =L= 0;

e179..    x70 - 28.5*b307 =L= 0;

e180..    x71 - 28.5*b308 =L= 0;

e181..    x72 - 28.5*b309 =L= 0;

e182..    x73 - 27.5*b255 =L= 0;

e183..    x74 - 26.5*b259 =L= 0;

e184..    x75 - 28.5*b262 =L= 0;

e185..    x76 - 29*b265 =L= 0;

e186..    x77 - 29*b266 =L= 0;

e187..    x78 - 27.5*b270 =L= 0;

e188..    x79 - 26.5*b274 =L= 0;

e189..    x80 - 28.5*b277 =L= 0;

e190..    x81 - 29*b280 =L= 0;

e191..    x82 - 29*b281 =L= 0;

e192..    x83 - 27.5*b285 =L= 0;

e193..    x84 - 26.5*b289 =L= 0;

e194..    x85 - 28.5*b292 =L= 0;

e195..    x86 - 29*b295 =L= 0;

e196..    x87 - 29*b296 =L= 0;

e197..    x88 - 27.5*b300 =L= 0;

e198..    x89 - 26.5*b304 =L= 0;

e199..    x90 - 28.5*b307 =L= 0;

e200..    x91 - 29*b310 =L= 0;

e201..    x92 - 29*b311 =L= 0;

e202..    x93 - 27.5*b256 =L= 0;

e203..    x94 - 26.5*b260 =L= 0;

e204..    x95 - 28.5*b263 =L= 0;

e205..    x96 - 29*b265 =L= 0;

e206..    x97 - 28*b267 =L= 0;

e207..    x98 - 27.5*b271 =L= 0;

e208..    x99 - 26.5*b275 =L= 0;

e209..    x100 - 28.5*b278 =L= 0;

e210..    x101 - 29*b280 =L= 0;

e211..    x102 - 28*b282 =L= 0;

e212..    x103 - 27.5*b286 =L= 0;

e213..    x104 - 26.5*b290 =L= 0;

e214..    x105 - 28.5*b293 =L= 0;

e215..    x106 - 29*b295 =L= 0;

e216..    x107 - 28*b297 =L= 0;

e217..    x108 - 27.5*b301 =L= 0;

e218..    x109 - 26.5*b305 =L= 0;

e219..    x110 - 28.5*b308 =L= 0;

e220..    x111 - 29*b310 =L= 0;

e221..    x112 - 28*b312 =L= 0;

e222..    x113 - 27.5*b257 =L= 0;

e223..    x114 - 26.5*b261 =L= 0;

e224..    x115 - 28.5*b264 =L= 0;

e225..    x116 - 29*b266 =L= 0;

e226..    x117 - 28*b267 =L= 0;

e227..    x118 - 27.5*b272 =L= 0;

e228..    x119 - 26.5*b276 =L= 0;

e229..    x120 - 28.5*b279 =L= 0;

e230..    x121 - 29*b281 =L= 0;

e231..    x122 - 28*b282 =L= 0;

e232..    x123 - 27.5*b287 =L= 0;

e233..    x124 - 26.5*b291 =L= 0;

e234..    x125 - 28.5*b294 =L= 0;

e235..    x126 - 29*b296 =L= 0;

e236..    x127 - 28*b297 =L= 0;

e237..    x128 - 27.5*b302 =L= 0;

e238..    x129 - 26.5*b306 =L= 0;

e239..    x130 - 28.5*b309 =L= 0;

e240..    x131 - 29*b311 =L= 0;

e241..    x132 - 28*b312 =L= 0;

e242..    x133 - 27*b253 =L= 0;

e243..    x134 - 27*b254 =L= 0;

e244..    x135 - 27*b255 =L= 0;

e245..    x136 - 27*b256 =L= 0;

e246..    x137 - 27*b257 =L= 0;

e247..    x138 - 27*b268 =L= 0;

e248..    x139 - 27*b269 =L= 0;

e249..    x140 - 27*b270 =L= 0;

e250..    x141 - 27*b271 =L= 0;

e251..    x142 - 27*b272 =L= 0;

e252..    x143 - 27*b283 =L= 0;

e253..    x144 - 27*b284 =L= 0;

e254..    x145 - 27*b285 =L= 0;

e255..    x146 - 27*b286 =L= 0;

e256..    x147 - 27*b287 =L= 0;

e257..    x148 - 27*b298 =L= 0;

e258..    x149 - 27*b299 =L= 0;

e259..    x150 - 27*b300 =L= 0;

e260..    x151 - 27*b301 =L= 0;

e261..    x152 - 27*b302 =L= 0;

e262..    x153 - 27*b253 =L= 0;

e263..    x154 - 27.5*b258 =L= 0;

e264..    x155 - 27.5*b259 =L= 0;

e265..    x156 - 27.5*b260 =L= 0;

e266..    x157 - 27.5*b261 =L= 0;

e267..    x158 - 27*b268 =L= 0;

e268..    x159 - 27.5*b273 =L= 0;

e269..    x160 - 27.5*b274 =L= 0;

e270..    x161 - 27.5*b275 =L= 0;

e271..    x162 - 27.5*b276 =L= 0;

e272..    x163 - 27*b283 =L= 0;

e273..    x164 - 27.5*b288 =L= 0;

e274..    x165 - 27.5*b289 =L= 0;

e275..    x166 - 27.5*b290 =L= 0;

e276..    x167 - 27.5*b291 =L= 0;

e277..    x168 - 27*b298 =L= 0;

e278..    x169 - 27.5*b303 =L= 0;

e279..    x170 - 27.5*b304 =L= 0;

e280..    x171 - 27.5*b305 =L= 0;

e281..    x172 - 27.5*b306 =L= 0;

e282..    x173 - 27*b254 =L= 0;

e283..    x174 - 27.5*b258 =L= 0;

e284..    x175 - 28.5*b262 =L= 0;

e285..    x176 - 28.5*b263 =L= 0;

e286..    x177 - 28.5*b264 =L= 0;

e287..    x178 - 27*b269 =L= 0;

e288..    x179 - 27.5*b273 =L= 0;

e289..    x180 - 28.5*b277 =L= 0;

e290..    x181 - 28.5*b278 =L= 0;

e291..    x182 - 28.5*b279 =L= 0;

e292..    x183 - 27*b284 =L= 0;

e293..    x184 - 27.5*b288 =L= 0;

e294..    x185 - 28.5*b292 =L= 0;

e295..    x186 - 28.5*b293 =L= 0;

e296..    x187 - 28.5*b294 =L= 0;

e297..    x188 - 27*b299 =L= 0;

e298..    x189 - 27.5*b303 =L= 0;

e299..    x190 - 28.5*b307 =L= 0;

e300..    x191 - 28.5*b308 =L= 0;

e301..    x192 - 28.5*b309 =L= 0;

e302..    x193 - 27*b255 =L= 0;

e303..    x194 - 27.5*b259 =L= 0;

e304..    x195 - 28.5*b262 =L= 0;

e305..    x196 - 28.5*b265 =L= 0;

e306..    x197 - 28.5*b266 =L= 0;

e307..    x198 - 27*b270 =L= 0;

e308..    x199 - 27.5*b274 =L= 0;

e309..    x200 - 28.5*b277 =L= 0;

e310..    x201 - 28.5*b280 =L= 0;

e311..    x202 - 28.5*b281 =L= 0;

e312..    x203 - 27*b285 =L= 0;

e313..    x204 - 27.5*b289 =L= 0;

e314..    x205 - 28.5*b292 =L= 0;

e315..    x206 - 28.5*b295 =L= 0;

e316..    x207 - 28.5*b296 =L= 0;

e317..    x208 - 27*b300 =L= 0;

e318..    x209 - 27.5*b304 =L= 0;

e319..    x210 - 28.5*b307 =L= 0;

e320..    x211 - 28.5*b310 =L= 0;

e321..    x212 - 28.5*b311 =L= 0;

e322..    x213 - 27*b256 =L= 0;

e323..    x214 - 27.5*b260 =L= 0;

e324..    x215 - 28.5*b263 =L= 0;

e325..    x216 - 28.5*b265 =L= 0;

e326..    x217 - 28*b267 =L= 0;

e327..    x218 - 27*b271 =L= 0;

e328..    x219 - 27.5*b275 =L= 0;

e329..    x220 - 28.5*b278 =L= 0;

e330..    x221 - 28.5*b280 =L= 0;

e331..    x222 - 28*b282 =L= 0;

e332..    x223 - 27*b286 =L= 0;

e333..    x224 - 27.5*b290 =L= 0;

e334..    x225 - 28.5*b293 =L= 0;

e335..    x226 - 28.5*b295 =L= 0;

e336..    x227 - 28*b297 =L= 0;

e337..    x228 - 27*b301 =L= 0;

e338..    x229 - 27.5*b305 =L= 0;

e339..    x230 - 28.5*b308 =L= 0;

e340..    x231 - 28.5*b310 =L= 0;

e341..    x232 - 28*b312 =L= 0;

e342..    x233 - 27*b257 =L= 0;

e343..    x234 - 27.5*b261 =L= 0;

e344..    x235 - 28.5*b264 =L= 0;

e345..    x236 - 28.5*b266 =L= 0;

e346..    x237 - 28*b267 =L= 0;

e347..    x238 - 27*b272 =L= 0;

e348..    x239 - 27.5*b276 =L= 0;

e349..    x240 - 28.5*b279 =L= 0;

e350..    x241 - 28.5*b281 =L= 0;

e351..    x242 - 28*b282 =L= 0;

e352..    x243 - 27*b287 =L= 0;

e353..    x244 - 27.5*b291 =L= 0;

e354..    x245 - 28.5*b294 =L= 0;

e355..    x246 - 28.5*b296 =L= 0;

e356..    x247 - 28*b297 =L= 0;

e357..    x248 - 27*b302 =L= 0;

e358..    x249 - 27.5*b306 =L= 0;

e359..    x250 - 28.5*b309 =L= 0;

e360..    x251 - 28.5*b311 =L= 0;

e361..    x252 - 28*b312 =L= 0;

e362..    x13 - x33 + 6*b253 =L= 0;

e363..    x14 - x53 + 4*b254 =L= 0;

e364..    x15 - x73 + 3.5*b255 =L= 0;

e365..    x16 - x93 + 4.5*b256 =L= 0;

e366..    x17 - x113 + 5*b257 =L= 0;

e367..    x34 - x54 + 5*b258 =L= 0;

e368..    x35 - x74 + 4.5*b259 =L= 0;

e369..    x36 - x94 + 5.5*b260 =L= 0;

e370..    x37 - x114 + 6*b261 =L= 0;

e371..    x55 - x75 + 2.5*b262 =L= 0;

e372..    x56 - x95 + 3.5*b263 =L= 0;

e373..    x57 - x115 + 4*b264 =L= 0;

e374..    x76 - x96 + 3*b265 =L= 0;

e375..    x77 - x116 + 3.5*b266 =L= 0;

e376..    x97 - x117 + 4.5*b267 =L= 0;

e377..  - x18 + x38 + 6*b268 =L= 0;

e378..  - x19 + x58 + 4*b269 =L= 0;

e379..  - x20 + x78 + 3.5*b270 =L= 0;

e380..  - x21 + x98 + 4.5*b271 =L= 0;

e381..  - x22 + x118 + 5*b272 =L= 0;

e382..  - x39 + x59 + 5*b273 =L= 0;

e383..  - x40 + x79 + 4.5*b274 =L= 0;

e384..  - x41 + x99 + 5.5*b275 =L= 0;

e385..  - x42 + x119 + 6*b276 =L= 0;

e386..  - x60 + x80 + 2.5*b277 =L= 0;

e387..  - x61 + x100 + 3.5*b278 =L= 0;

e388..  - x62 + x120 + 4*b279 =L= 0;

e389..  - x81 + x101 + 3*b280 =L= 0;

e390..  - x82 + x121 + 3.5*b281 =L= 0;

e391..  - x102 + x122 + 4.5*b282 =L= 0;

e392..    x143 - x163 + 5.5*b283 =L= 0;

e393..    x144 - x183 + 4.5*b284 =L= 0;

e394..    x145 - x203 + 4.5*b285 =L= 0;

e395..    x146 - x223 + 5*b286 =L= 0;

e396..    x147 - x243 + 4*b287 =L= 0;

e397..    x164 - x184 + 4*b288 =L= 0;

e398..    x165 - x204 + 4*b289 =L= 0;

e399..    x166 - x224 + 4.5*b290 =L= 0;

e400..    x167 - x244 + 3.5*b291 =L= 0;

e401..    x185 - x205 + 3*b292 =L= 0;

e402..    x186 - x225 + 3.5*b293 =L= 0;

e403..    x187 - x245 + 2.5*b294 =L= 0;

e404..    x206 - x226 + 3.5*b295 =L= 0;

e405..    x207 - x246 + 2.5*b296 =L= 0;

e406..    x227 - x247 + 3*b297 =L= 0;

e407..  - x148 + x168 + 5.5*b298 =L= 0;

e408..  - x149 + x188 + 4.5*b299 =L= 0;

e409..  - x150 + x208 + 4.5*b300 =L= 0;

e410..  - x151 + x228 + 5*b301 =L= 0;

e411..  - x152 + x248 + 4*b302 =L= 0;

e412..  - x169 + x189 + 4*b303 =L= 0;

e413..  - x170 + x209 + 4*b304 =L= 0;

e414..  - x171 + x229 + 4.5*b305 =L= 0;

e415..  - x172 + x249 + 3.5*b306 =L= 0;

e416..  - x190 + x210 + 3*b307 =L= 0;

e417..  - x191 + x230 + 3.5*b308 =L= 0;

e418..  - x192 + x250 + 2.5*b309 =L= 0;

e419..  - x211 + x231 + 3.5*b310 =L= 0;

e420..  - x212 + x251 + 2.5*b311 =L= 0;

e421..  - x232 + x252 + 3*b312 =L= 0;

e422..    b253 + b268 + b283 + b298 =E= 1;

e423..    b254 + b269 + b284 + b299 =E= 1;

e424..    b255 + b270 + b285 + b300 =E= 1;

e425..    b256 + b271 + b286 + b301 =E= 1;

e426..    b257 + b272 + b287 + b302 =E= 1;

e427..    b258 + b273 + b288 + b303 =E= 1;

e428..    b259 + b274 + b289 + b304 =E= 1;

e429..    b260 + b275 + b290 + b305 =E= 1;

e430..    b261 + b276 + b291 + b306 =E= 1;

e431..    b262 + b277 + b292 + b307 =E= 1;

e432..    b263 + b278 + b293 + b308 =E= 1;

e433..    b264 + b279 + b294 + b309 =E= 1;

e434..    b265 + b280 + b295 + b310 =E= 1;

e435..    b266 + b281 + b296 + b311 =E= 1;

e436..    b267 + b282 + b297 + b312 =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 = 2.5; x6.up = 27.5;
x7.lo = 3; x7.up = 27;
x8.lo = 2.5; x8.up = 27.5;
x9.lo = 1.5; x9.up = 28.5;
x10.lo = 1.5; x10.up = 28.5;
x11.lo = 2; x11.up = 28;
x12.lo = 1; x12.up = 29;

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: 2022-05-24 Git hash: 1198c186
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