MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Removed Instance rsyn0805h

Redesign of existing plants to increase throughput, reduce energy consumption, improve yields, and reduce waste generation. Given limited capital investments to make process improvements and cost estimations over a given time horizon, the problem is to identify the modifications that yield the highest economic improvement which is defined as the income from product sales minus the cost of raw materials, energy, and process modifications.
Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
1296.12069900 p1 ( gdx sol )
(infeas: 4e-12)
Other points (infeas > 1e-08)  
Dual Bounds
1296.13348500 (ALPHAECP)
1296.12070000 (ANTIGONE)
1296.12070000 (BARON)
1296.12069900 (BONMIN)
1296.12098500 (COUENNE)
1296.12070000 (LINDO)
1296.12071900 (SCIP)
1296.12095300 (SHOT)
References Sawaya, Nicolas W, Reformulations, relaxations and cutting planes for generalized disjunctive programming, PhD thesis, Carnegie Mellon University, 2006.
Source RSyn0805H.gms from CMU-IBM MINLP solver project page
Application Retrofit Planning
Added to library 28 Sep 2013
Removed from library 16 Feb 2022
Removed because Superseded by rsyn0805hfsg.
Problem type MBNLP
#Variables 308
#Binary Variables 37
#Integer Variables 0
#Nonlinear Variables 9
#Nonlinear Binary Variables 3
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 45
#Nonlinear Nonzeros in Objective 0
#Constraints 429
#Linear Constraints 426
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 3
Operands in Gen. Nonlin. Functions div log mul
Constraints curvature convex
#Nonzeros in Jacobian 1013
#Nonlinear Nonzeros in Jacobian 9
#Nonzeros in (Upper-Left) Hessian of Lagrangian 18
#Nonzeros in Diagonal of Hessian of Lagrangian 6
#Blocks in Hessian of Lagrangian 3
Minimal blocksize in Hessian of Lagrangian 3
Maximal blocksize in Hessian of Lagrangian 3
Average blocksize in Hessian of Lagrangian 3.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.0000e-06
Maximal coefficient 3.0000e+02
Infeasibility of initial point 1
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
*        430      207        9      214        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        309      272       37        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1059     1050        9        0
*
*  Solve m using MINLP maximizing objvar;


Variables  objvar,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,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245
          ,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258
          ,b259,b260,b261,b262,b263,b264,b265,b266,b267,x268,x269,x270,x271
          ,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284
          ,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297
          ,x298,x299,x300,x301,x302,x303,x304,b305,b306,b307,b308,b309;

Positive Variables  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,x268,x269,x270,x271,x272,x273,x274,x275,x276
          ,x277,x278,x279,x280,x281,x282,x283,x284,x285,x286,x287,x288,x289
          ,x290,x291,x292,x293,x294,x295,x296,x297,x298,x299,x300,x301,x302
          ,x303,x304;

Binary Variables  b236,b237,b238,b239,b240,b241,b242,b243,b244,b245,b246,b247
          ,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258,b259,b260
          ,b261,b262,b263,b264,b265,b266,b267,b305,b306,b307,b308,b309;

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;


e1..    objvar + 4*x2 + 8*x7 + 5*x11 + 8*x23 - 23*x27 - 19*x29 + 10*x30 - 2*x33
      - 3*x34 - 25*x35 - 24*x36 + 6*b237 + 40*b238 + 46*b239 + 7*b241 + 30*b242
      + 37*b243 + 7*b245 + 15*b246 + 22*b247 + 11*b249 + 13*b250 + 24*b251
      + 10*b253 + 13*b254 + 23*b255 + 9*b257 + 30*b258 + 39*b259 + 8*b261
      + 20*b262 + 28*b263 + 8*b265 + 15*b266 + 23*b267 - 5*x274 + 2*x279
      - 200*x280 - 250*x281 - 300*x282 + 5*b305 + 8*b306 + 6*b307 + 10*b308
      + 6*b309 =E= 0;

e2..    x2 - 0.2*x37 =E= 0;

e3..    x3 - 0.2*x38 =E= 0;

e4..    x4 - 0.2*x39 =E= 0;

e5..    x5 - 0.2*x40 =E= 0;

e6..    x6 - 0.2*x41 =E= 0;

e7..    x7 - 0.5*x42 =E= 0;

e8..    x8 - 0.5*x43 =E= 0;

e9..    x9 - 0.7*x44 =E= 0;

e10..    x10 - 0.7*x45 =E= 0;

e11..    x11 - 1.2*x46 =E= 0;

e12..    x12 - 1.2*x47 =E= 0;

e13..    x13 - 0.5*x48 =E= 0;

e14..    x14 - 0.7*x49 =E= 0;

e15..    x15 - 1.2*x50 =E= 0;

e16..    x16 - 1.2*x51 =E= 0;

e17..    x17 - 1.2*x52 =E= 0;

e18..    x18 - 1.2*x53 =E= 0;

e19..    x19 - 0.3*x54 =E= 0;

e20..    x20 - 0.9*x55 =E= 0;

e21..    x21 - 0.3*x56 =E= 0;

e22..    x22 - 0.9*x57 =E= 0;

e23..    x23 - 0.4*x58 =E= 0;

e24..    x24 - 0.4*x59 =E= 0;

e25..    x25 - 0.4*x60 =E= 0;

e26..    x26 - 1.6*x61 =E= 0;

e27..    x27 - 1.6*x62 =E= 0;

e28..    x28 - 1.1*x63 =E= 0;

e29..    x29 - 1.1*x64 =E= 0;

e30..    x30 - 0.7*x65 =E= 0;

e31..    x31 - 0.7*x66 =E= 0;

e32..    x32 - 0.7*x67 =E= 0;

e33..    x33 - 0.2*x68 =E= 0;

e34..    x34 - 0.7*x69 =E= 0;

e35..    x35 - 0.3*x70 =E= 0;

e36..    x36 - 0.9*x71 =E= 0;

e37..    x27 =G= 0.4;

e38..    x29 =G= 0.3;

e39..    x33 =G= 0.2;

e40..    x34 =G= 0.5;

e41..    x35 =G= 0.2;

e42..    x36 =G= 0.3;

e43..    x2 =L= 35;

e44..    x7 =L= 36;

e45..    x11 =L= 25;

e46..    x23 =L= 24;

e47..    x30 =L= 30;

e48..    x2 - x3 - x4 =E= 0;

e49..    x5 - x6 =E= 0;

e50..    x7 - x8 + x13 =E= 0;

e51..    x9 - x10 + x14 =E= 0;

e52..    x11 - x12 - x15 =E= 0;

e53..    x16 - x17 - x18 =E= 0;

e54..    x19 - x21 =E= 0;

e55..    x20 - x22 =E= 0;

e56..    x23 - x24 - x25 =E= 0;

e57..    x26 - x27 =E= 0;

e58..    x28 - x29 =E= 0;

e59..    x30 - x31 =E= 0;

e60..    x3 - x5 - x72 =E= 0;

e61..    x4 + x8 - x9 - x73 =E= 0;

e62..    x12 - x13 - x14 - x74 =E= 0;

e63..    x15 - x16 - x75 =E= 0;

e64..    x18 - x19 - x20 - x76 =E= 0;

e65..    x17 + x24 - x26 - x77 =E= 0;

e66..    x25 - x28 + x32 - x78 =E= 0;

e67..    x31 - x32 - x79 =E= 0;

e68..    x39 - x43 =L= 0;

e69..    x52 - x59 =L= 0;

e70..    x60 - x67 =L= 0;

e71..    x40 - x140 - x141 - x142 - x143 =E= 0;

e72..    x38 - x132 - x133 - x134 - x135 =E= 0;

e73..    x44 - x144 - x145 - x146 - x147 =E= 0;

e74..    x39 - x136 - x137 - x138 - x139 =E= 0;

e75..    x48 - x152 - x153 - x154 - x155 =E= 0;

e76..    x49 - x156 - x157 - x158 - x159 =E= 0;

e77..    x47 - x148 - x149 - x150 - x151 =E= 0;

e78..    x51 - x164 - x165 - x166 - x167 =E= 0;

e79..    x50 - x160 - x161 - x162 - x163 =E= 0;

e80..    x54 - x176 - x177 - x178 - x179 =E= 0;

e81..    x55 - x180 - x181 - x182 - x183 =E= 0;

e82..    x53 - x172 - x173 - x174 - x175 =E= 0;

e83..    x61 - x188 - x189 - x190 - x191 =E= 0;

e84..    x52 - x168 - x169 - x170 - x171 =E= 0;

e85..    x63 - x192 - x193 - x194 - x195 =E= 0;

e86..    x60 - x184 - x185 - x186 - x187 =E= 0;

e87..    x67 - x200 - x201 - x202 - x203 =E= 0;

e88..    x66 - x196 - x197 - x198 - x199 =E= 0;

e89..    x140 - 148.75*b236 =L= 0;

e90..    x141 - 148.75*b237 =L= 0;

e91..    x142 - 148.75*b238 =L= 0;

e92..    x143 - 148.75*b239 =L= 0;

e93..    x144 - 254.045833333333*b240 =L= 0;

e94..    x145 - 254.045833333333*b241 =L= 0;

e95..    x146 - 254.045833333333*b242 =L= 0;

e96..    x147 - 254.045833333333*b243 =L= 0;

e97..    x152 - 20.4166666666667*b244 =L= 0;

e98..    x153 - 20.4166666666667*b245 =L= 0;

e99..    x154 - 20.4166666666667*b246 =L= 0;

e100..    x155 - 20.4166666666667*b247 =L= 0;

e101..    x156 - 20.4166666666667*b244 =L= 0;

e102..    x157 - 20.4166666666667*b245 =L= 0;

e103..    x158 - 20.4166666666667*b246 =L= 0;

e104..    x159 - 20.4166666666667*b247 =L= 0;

e105..    x164 - 18.75*b248 =L= 0;

e106..    x165 - 18.75*b249 =L= 0;

e107..    x166 - 18.75*b250 =L= 0;

e108..    x167 - 18.75*b251 =L= 0;

e109..    x176 - 17.8125*b252 =L= 0;

e110..    x177 - 17.8125*b253 =L= 0;

e111..    x178 - 17.8125*b254 =L= 0;

e112..    x179 - 17.8125*b255 =L= 0;

e113..    x180 - 17.8125*b252 =L= 0;

e114..    x181 - 17.8125*b253 =L= 0;

e115..    x182 - 17.8125*b254 =L= 0;

e116..    x183 - 17.8125*b255 =L= 0;

e117..    x188 - 66.9375*b256 =L= 0;

e118..    x189 - 66.9375*b257 =L= 0;

e119..    x190 - 66.9375*b258 =L= 0;

e120..    x191 - 66.9375*b259 =L= 0;

e121..    x192 - 94.4571428571429*b260 =L= 0;

e122..    x193 - 94.4571428571429*b261 =L= 0;

e123..    x194 - 94.4571428571429*b262 =L= 0;

e124..    x195 - 94.4571428571429*b263 =L= 0;

e125..    x200 - 39.4285714285714*b264 =L= 0;

e126..    x201 - 39.4285714285714*b265 =L= 0;

e127..    x202 - 39.4285714285714*b266 =L= 0;

e128..    x203 - 39.4285714285714*b267 =L= 0;

e129..    x132 - 175*b236 =L= 0;

e130..    x133 - 175*b237 =L= 0;

e131..    x134 - 175*b238 =L= 0;

e132..    x135 - 175*b239 =L= 0;

e133..    x136 - 175*b240 =L= 0;

e134..    x137 - 175*b241 =L= 0;

e135..    x138 - 175*b242 =L= 0;

e136..    x139 - 175*b243 =L= 0;

e137..    x148 - 20.8333333333333*b244 =L= 0;

e138..    x149 - 20.8333333333333*b245 =L= 0;

e139..    x150 - 20.8333333333333*b246 =L= 0;

e140..    x151 - 20.8333333333333*b247 =L= 0;

e141..    x160 - 20.8333333333333*b248 =L= 0;

e142..    x161 - 20.8333333333333*b249 =L= 0;

e143..    x162 - 20.8333333333333*b250 =L= 0;

e144..    x163 - 20.8333333333333*b251 =L= 0;

e145..    x172 - 18.75*b252 =L= 0;

e146..    x173 - 18.75*b253 =L= 0;

e147..    x174 - 18.75*b254 =L= 0;

e148..    x175 - 18.75*b255 =L= 0;

e149..    x168 - 18.75*b256 =L= 0;

e150..    x169 - 18.75*b257 =L= 0;

e151..    x170 - 18.75*b258 =L= 0;

e152..    x171 - 18.75*b259 =L= 0;

e153..    x184 - 60*b260 =L= 0;

e154..    x185 - 60*b261 =L= 0;

e155..    x186 - 60*b262 =L= 0;

e156..    x187 - 60*b263 =L= 0;

e157..    x196 - 42.8571428571429*b264 =L= 0;

e158..    x197 - 42.8571428571429*b265 =L= 0;

e159..    x198 - 42.8571428571429*b266 =L= 0;

e160..    x199 - 42.8571428571429*b267 =L= 0;

e161..  - 0.8*x132 + x140 =E= 0;

e162..  - 0.85*x133 + x141 =E= 0;

e163..  - 0.8*x134 + x142 =E= 0;

e164..  - 0.85*x135 + x143 =E= 0;

e165..  - 0.9*x136 + x144 =E= 0;

e166..  - 0.95*x137 + x145 =E= 0;

e167..  - 0.9*x138 + x146 =E= 0;

e168..  - 0.95*x139 + x147 =E= 0;

e169..  - 0.85*x148 + x152 =E= 0;

e170..  - 0.98*x149 + x153 =E= 0;

e171..  - 0.85*x150 + x154 =E= 0;

e172..  - 0.98*x151 + x155 =E= 0;

e173..  - 0.85*x148 + x156 =E= 0;

e174..  - 0.98*x149 + x157 =E= 0;

e175..  - 0.85*x150 + x158 =E= 0;

e176..  - 0.98*x151 + x159 =E= 0;

e177..  - 0.85*x160 + x164 =E= 0;

e178..  - 0.9*x161 + x165 =E= 0;

e179..  - 0.85*x162 + x166 =E= 0;

e180..  - 0.9*x163 + x167 =E= 0;

e181..  - 0.75*x172 + x176 =E= 0;

e182..  - 0.95*x173 + x177 =E= 0;

e183..  - 0.9*x174 + x178 =E= 0;

e184..  - 0.95*x175 + x179 =E= 0;

e185..  - 0.75*x172 + x180 =E= 0;

e186..  - 0.95*x173 + x181 =E= 0;

e187..  - 0.9*x174 + x182 =E= 0;

e188..  - 0.95*x175 + x183 =E= 0;

e189..  - 0.8*x168 + x188 =E= 0;

e190..  - 0.85*x169 + x189 =E= 0;

e191..  - 0.8*x170 + x190 =E= 0;

e192..  - 0.85*x171 + x191 =E= 0;

e193..  - 0.85*x184 + x192 =E= 0;

e194..  - 0.95*x185 + x193 =E= 0;

e195..  - 0.85*x186 + x194 =E= 0;

e196..  - 0.95*x187 + x195 =E= 0;

e197..  - 0.8*x196 + x200 =E= 0;

e198..  - 0.92*x197 + x201 =E= 0;

e199..  - 0.8*x198 + x202 =E= 0;

e200..  - 0.92*x199 + x203 =E= 0;

e201..    x3 - x88 - x89 - x90 - x91 =E= 0;

e202..    x4 - x92 - x93 - x94 - x95 =E= 0;

e203..    x8 - x96 - x97 - x98 - x99 =E= 0;

e204..    x12 - x100 - x101 - x102 - x103 =E= 0;

e205..    x15 - x104 - x105 - x106 - x107 =E= 0;

e206..    x18 - x112 - x113 - x114 - x115 =E= 0;

e207..    x17 - x108 - x109 - x110 - x111 =E= 0;

e208..    x24 - x116 - x117 - x118 - x119 =E= 0;

e209..    x25 - x120 - x121 - x122 - x123 =E= 0;

e210..    x32 - x128 - x129 - x130 - x131 =E= 0;

e211..    x31 - x124 - x125 - x126 - x127 =E= 0;

e212..    x88 - 35*b236 =L= 0;

e213..    x89 - 35*b237 =L= 0;

e214..    x90 - 35*b238 =L= 0;

e215..    x91 - 35*b239 =L= 0;

e216..    x92 - 35*b240 =L= 0;

e217..    x93 - 35*b241 =L= 0;

e218..    x94 - 35*b242 =L= 0;

e219..    x95 - 35*b243 =L= 0;

e220..    x96 - 61*b240 =L= 0;

e221..    x97 - 61*b241 =L= 0;

e222..    x98 - 61*b242 =L= 0;

e223..    x99 - 61*b243 =L= 0;

e224..    x100 - 25*b244 =L= 0;

e225..    x101 - 25*b245 =L= 0;

e226..    x102 - 25*b246 =L= 0;

e227..    x103 - 25*b247 =L= 0;

e228..    x104 - 25*b248 =L= 0;

e229..    x105 - 25*b249 =L= 0;

e230..    x106 - 25*b250 =L= 0;

e231..    x107 - 25*b251 =L= 0;

e232..    x112 - 25*b252 =L= 0;

e233..    x113 - 25*b253 =L= 0;

e234..    x114 - 25*b254 =L= 0;

e235..    x115 - 25*b255 =L= 0;

e236..    x108 - 25*b256 =L= 0;

e237..    x109 - 25*b257 =L= 0;

e238..    x110 - 25*b258 =L= 0;

e239..    x111 - 25*b259 =L= 0;

e240..    x116 - 24*b256 =L= 0;

e241..    x117 - 24*b257 =L= 0;

e242..    x118 - 24*b258 =L= 0;

e243..    x119 - 24*b259 =L= 0;

e244..    x120 - 24*b260 =L= 0;

e245..    x121 - 24*b261 =L= 0;

e246..    x122 - 24*b262 =L= 0;

e247..    x123 - 24*b263 =L= 0;

e248..    x128 - 30*b260 =L= 0;

e249..    x129 - 30*b261 =L= 0;

e250..    x130 - 30*b262 =L= 0;

e251..    x131 - 30*b263 =L= 0;

e252..    x124 - 30*b264 =L= 0;

e253..    x125 - 30*b265 =L= 0;

e254..    x126 - 30*b266 =L= 0;

e255..    x127 - 30*b267 =L= 0;

e256..    x88 - 10*b236 =L= 0;

e257..    x89 - 10*b237 =L= 0;

e258..    x90 - 50*b238 =L= 0;

e259..    x91 - 50*b239 =L= 0;

e260..    x92 + x96 - 40*b240 =L= 0;

e261..    x93 + x97 - 40*b241 =L= 0;

e262..    x94 + x98 - 60*b242 =L= 0;

e263..    x95 + x99 - 60*b243 =L= 0;

e264..    x100 - 15*b244 =L= 0;

e265..    x101 - 15*b245 =L= 0;

e266..    x102 - 25*b246 =L= 0;

e267..    x103 - 25*b247 =L= 0;

e268..    x104 - 15*b248 =L= 0;

e269..    x105 - 15*b249 =L= 0;

e270..    x106 - 20*b250 =L= 0;

e271..    x107 - 20*b251 =L= 0;

e272..    x112 - 10*b252 =L= 0;

e273..    x113 - 10*b253 =L= 0;

e274..    x114 - 20*b254 =L= 0;

e275..    x115 - 20*b255 =L= 0;

e276..    x108 + x116 - 20*b256 =L= 0;

e277..    x109 + x117 - 20*b257 =L= 0;

e278..    x110 + x118 - 55*b258 =L= 0;

e279..    x111 + x119 - 55*b259 =L= 0;

e280..    x120 + x128 - 25*b260 =L= 0;

e281..    x121 + x129 - 25*b261 =L= 0;

e282..    x122 + x130 - 50*b262 =L= 0;

e283..    x123 + x131 - 50*b263 =L= 0;

e284..    x124 - 15*b264 =L= 0;

e285..    x125 - 15*b265 =L= 0;

e286..    x126 - 35*b266 =L= 0;

e287..    x127 - 35*b267 =L= 0;

e288..    x80 - x204 - x205 - x206 - x207 =E= 0;

e289..    x81 - x208 - x209 - x210 - x211 =E= 0;

e290..    x82 - x212 - x213 - x214 - x215 =E= 0;

e291..    x83 - x216 - x217 - x218 - x219 =E= 0;

e292..    x84 - x220 - x221 - x222 - x223 =E= 0;

e293..    x85 - x224 - x225 - x226 - x227 =E= 0;

e294..    x86 - x228 - x229 - x230 - x231 =E= 0;

e295..    x87 - x232 - x233 - x234 - x235 =E= 0;

e296..    x204 =L= 0;

e297..    x205 - 6*b237 =L= 0;

e298..    x206 - 40*b238 =L= 0;

e299..    x207 - 46*b239 =L= 0;

e300..    x208 =L= 0;

e301..    x209 - 7*b241 =L= 0;

e302..    x210 - 30*b242 =L= 0;

e303..    x211 - 37*b243 =L= 0;

e304..    x212 =L= 0;

e305..    x213 - 7*b245 =L= 0;

e306..    x214 - 15*b246 =L= 0;

e307..    x215 - 22*b247 =L= 0;

e308..    x216 =L= 0;

e309..    x217 - 11*b249 =L= 0;

e310..    x218 - 13*b250 =L= 0;

e311..    x219 - 24*b251 =L= 0;

e312..    x220 =L= 0;

e313..    x221 - 10*b253 =L= 0;

e314..    x222 - 13*b254 =L= 0;

e315..    x223 - 23*b255 =L= 0;

e316..    x224 =L= 0;

e317..    x225 - 9*b257 =L= 0;

e318..    x226 - 30*b258 =L= 0;

e319..    x227 - 39*b259 =L= 0;

e320..    x228 =L= 0;

e321..    x229 - 8*b261 =L= 0;

e322..    x230 - 20*b262 =L= 0;

e323..    x231 - 28*b263 =L= 0;

e324..    x232 =L= 0;

e325..    x233 - 8*b265 =L= 0;

e326..    x234 - 15*b266 =L= 0;

e327..    x235 - 23*b267 =L= 0;

e328..    x204 =E= 0;

e329..    x205 - 6*b237 =E= 0;

e330..    x206 - 40*b238 =E= 0;

e331..    x207 - 46*b239 =E= 0;

e332..    x208 =E= 0;

e333..    x209 - 7*b241 =E= 0;

e334..    x210 - 30*b242 =E= 0;

e335..    x211 - 37*b243 =E= 0;

e336..    x212 =E= 0;

e337..    x213 - 7*b245 =E= 0;

e338..    x214 - 15*b246 =E= 0;

e339..    x215 - 22*b247 =E= 0;

e340..    x216 =E= 0;

e341..    x217 - 11*b249 =E= 0;

e342..    x218 - 13*b250 =E= 0;

e343..    x219 - 24*b251 =E= 0;

e344..    x220 =E= 0;

e345..    x221 - 10*b253 =E= 0;

e346..    x222 - 13*b254 =E= 0;

e347..    x223 - 23*b255 =E= 0;

e348..    x224 =E= 0;

e349..    x225 - 9*b257 =E= 0;

e350..    x226 - 30*b258 =E= 0;

e351..    x227 - 39*b259 =E= 0;

e352..    x228 =E= 0;

e353..    x229 - 8*b261 =E= 0;

e354..    x230 - 20*b262 =E= 0;

e355..    x231 - 28*b263 =E= 0;

e356..    x232 =E= 0;

e357..    x233 - 8*b265 =E= 0;

e358..    x234 - 15*b266 =E= 0;

e359..    x235 - 23*b267 =E= 0;

e360..    4*x2 + 8*x7 + 5*x11 + 8*x23 + 10*x30 + x80 + x81 + x82 + x83 + x84
        + x85 + x86 + x87 =L= 4000;

e361..    b236 + b237 + b238 + b239 =E= 1;

e362..    b240 + b241 + b242 + b243 =E= 1;

e363..    b244 + b245 + b246 + b247 =E= 1;

e364..    b248 + b249 + b250 + b251 =E= 1;

e365..    b252 + b253 + b254 + b255 =E= 1;

e366..    b256 + b257 + b258 + b259 =E= 1;

e367..    b260 + b261 + b262 + b263 =E= 1;

e368..    b264 + b265 + b266 + b267 =E= 1;

e369..    x6 - x33 - x268 =E= 0;

e370..    x10 - x34 - x279 =E= 0;

e371..    x21 - x35 =E= 0;

e372..    x22 - x36 =E= 0;

e373..    x268 - x269 - x270 =E= 0;

e374..  - x271 - x272 + x273 =E= 0;

e375..    x273 - x274 - x275 =E= 0;

e376..    x275 - x276 - x277 - x278 =E= 0;

e377.. (x287/(1e-6 + b305) - log(1 + x283/(1e-6 + b305)))*(1e-6 + b305) =L= 0;

e378..    x284 =E= 0;

e379..    x288 =E= 0;

e380..    x269 - x283 - x284 =E= 0;

e381..    x271 - x287 - x288 =E= 0;

e382..    x283 - 10*b305 =L= 0;

e383..    x284 + 10*b305 =L= 10;

e384..    x287 - 2.39789527279837*b305 =L= 0;

e385..    x288 + 2.39789527279837*b305 =L= 2.39789527279837;

e386.. (x289/(1e-6 + b306) - 1.2*log(1 + x285/(1e-6 + b306)))*(1e-6 + b306)
        =L= 0;

e387..    x286 =E= 0;

e388..    x290 =E= 0;

e389..    x270 - x285 - x286 =E= 0;

e390..    x272 - x289 - x290 =E= 0;

e391..    x285 - 10*b306 =L= 0;

e392..    x286 + 10*b306 =L= 10;

e393..    x289 - 2.87747432735804*b306 =L= 0;

e394..    x290 + 2.87747432735804*b306 =L= 2.87747432735804;

e395..  - 0.75*x291 + x299 =E= 0;

e396..    x292 =E= 0;

e397..    x300 =E= 0;

e398..    x276 - x291 - x292 =E= 0;

e399..    x280 - x299 - x300 =E= 0;

e400..    x291 - 2.87747432735804*b307 =L= 0;

e401..    x292 + 2.87747432735804*b307 =L= 2.87747432735804;

e402..    x299 - 2.15810574551853*b307 =L= 0;

e403..    x300 + 2.15810574551853*b307 =L= 2.15810574551853;

e404.. (x301/(1e-6 + b308) - 1.5*log(1 + x293/(1e-6 + b308)))*(1e-6 + b308)
        =L= 0;

e405..    x294 =E= 0;

e406..    x302 =E= 0;

e407..    x277 - x293 - x294 =E= 0;

e408..    x281 - x301 - x302 =E= 0;

e409..    x293 - 2.87747432735804*b308 =L= 0;

e410..    x294 + 2.87747432735804*b308 =L= 2.87747432735804;

e411..    x301 - 2.03277599268042*b308 =L= 0;

e412..    x302 + 2.03277599268042*b308 =L= 2.03277599268042;

e413..  - x295 + x303 =E= 0;

e414..  - 0.5*x297 + x303 =E= 0;

e415..    x296 =E= 0;

e416..    x298 =E= 0;

e417..    x304 =E= 0;

e418..    x278 - x295 - x296 =E= 0;

e419..    x279 - x297 - x298 =E= 0;

e420..    x282 - x303 - x304 =E= 0;

e421..    x295 - 2.87747432735804*b309 =L= 0;

e422..    x296 + 2.87747432735804*b309 =L= 2.87747432735804;

e423..    x297 - 7*b309 =L= 0;

e424..    x298 + 7*b309 =L= 7;

e425..    x303 - 3.5*b309 =L= 0;

e426..    x304 + 3.5*b309 =L= 3.5;

e427..    b305 + b306 =E= 1;

e428..    b305 + b306 - b307 =G= 0;

e429..    b305 + b306 - b308 =G= 0;

e430..    b305 + b306 - b309 =G= 0;

* set non-default bounds
x268.up = 10;
x279.up = 7;

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% maximizing objvar;


Last updated: 2022-08-11 Git hash: f176bd52
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