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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Removed Instance syn10m03h

Selection of optimal configuration and parameters for a processing system selected from a superstructure containing alternative processing units and interconnections.
Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
3354.68336600 p1 ( gdx sol )
(infeas: 4e-16)
Other points (infeas > 1e-08)  
Dual Bounds
3354.68825400 (ALPHAECP)
3428.19920500 (ANTIGONE)
3354.68337000 (BARON)
3354.68336700 (BONMIN)
3354.68349600 (COUENNE)
3354.68336700 (LINDO)
3354.68382600 (SCIP)
3354.68429700 (SHOT)
References Duran, Marco A and Grossmann, I E, An Outer-Approximation Algorithm for a Class of Mixed-integer Nonlinear Programs, Mathematical Programming, 36:3, 1986, 307-339.
Türkay, Metin and Grossmann, I E, Logic-based MINLP Algorithms for optimal synthesis of process networks, Computers and Chemical Engineering, 20:8, 1996, 959-978.
Source Syn10M03H.gms from CMU-IBM MINLP solver project page
Application Synthesis of processing system
Added to library 28 Sep 2013
Removed from library 16 Feb 2022
Removed because Superseded by syn10m03hfsg.
Problem type MBNLP
#Variables 291
#Binary Variables 60
#Integer Variables 0
#Nonlinear Variables 54
#Nonlinear Binary Variables 18
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 57
#Nonlinear Nonzeros in Objective 0
#Constraints 486
#Linear Constraints 468
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 18
Operands in Gen. Nonlin. Functions div log mul
Constraints curvature convex
#Nonzeros in Jacobian 1056
#Nonlinear Nonzeros in Jacobian 54
#Nonzeros in (Upper-Left) Hessian of Lagrangian 108
#Nonzeros in Diagonal of Hessian of Lagrangian 36
#Blocks in Hessian of Lagrangian 18
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 4.3000e+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
*        487      193       30      264        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        292      232       60        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1114     1060       54        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
          ,b233,b234,b235,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,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;

Positive Variables  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;

Binary Variables  b233,b234,b235,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,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;

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,e437,e438,e439,e440,e441
          ,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
          ,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
          ,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
          ,e481,e482,e483,e484,e485,e486,e487;


e1..    objvar + x32 + x33 + x34 - 5*x50 - 10*x51 - 5*x52 + 2*x65 + x66 + 2*x67
      - 80*x89 - 90*x90 - 120*x91 - 285*x92 - 390*x93 - 350*x94 - 290*x95
      - 405*x96 - 190*x97 - 280*x98 - 400*x99 - 430*x100 - 290*x101 - 300*x102
      - 240*x103 - 350*x104 - 250*x105 - 300*x106 + 5*b263 + 4*b264 + 6*b265
      + 8*b266 + 7*b267 + 6*b268 + 6*b269 + 9*b270 + 4*b271 + 10*b272 + 9*b273
      + 5*b274 + 6*b275 + 10*b276 + 6*b277 + 7*b278 + 7*b279 + 4*b280 + 4*b281
      + 3*b282 + 2*b283 + 5*b284 + 6*b285 + 7*b286 + 2*b287 + 5*b288 + 2*b289
      + 4*b290 + 7*b291 + 4*b292 =E= 0;

e2..    x32 - x35 - x38 =E= 0;

e3..    x33 - x36 - x39 =E= 0;

e4..    x34 - x37 - x40 =E= 0;

e5..  - x41 - x44 + x47 =E= 0;

e6..  - x42 - x45 + x48 =E= 0;

e7..  - x43 - x46 + x49 =E= 0;

e8..    x47 - x50 - x53 =E= 0;

e9..    x48 - x51 - x54 =E= 0;

e10..    x49 - x52 - x55 =E= 0;

e11..    x53 - x56 - x59 - x62 =E= 0;

e12..    x54 - x57 - x60 - x63 =E= 0;

e13..    x55 - x58 - x61 - x64 =E= 0;

e14..    x68 - x77 - x80 =E= 0;

e15..    x69 - x78 - x81 =E= 0;

e16..    x70 - x79 - x82 =E= 0;

e17..    x74 - x83 - x86 - x89 =E= 0;

e18..    x75 - x84 - x87 - x90 =E= 0;

e19..    x76 - x85 - x88 - x91 =E= 0;

e20.. (x119/(1e-6 + b233) - log(1 + x107/(1e-6 + b233)))*(1e-6 + b233) =L= 0;

e21.. (x120/(1e-6 + b234) - log(1 + x108/(1e-6 + b234)))*(1e-6 + b234) =L= 0;

e22.. (x121/(1e-6 + b235) - log(1 + x109/(1e-6 + b235)))*(1e-6 + b235) =L= 0;

e23..    x110 =E= 0;

e24..    x111 =E= 0;

e25..    x112 =E= 0;

e26..    x122 =E= 0;

e27..    x123 =E= 0;

e28..    x124 =E= 0;

e29..    x35 - x107 - x110 =E= 0;

e30..    x36 - x108 - x111 =E= 0;

e31..    x37 - x109 - x112 =E= 0;

e32..    x41 - x119 - x122 =E= 0;

e33..    x42 - x120 - x123 =E= 0;

e34..    x43 - x121 - x124 =E= 0;

e35..    x107 - 40*b233 =L= 0;

e36..    x108 - 40*b234 =L= 0;

e37..    x109 - 40*b235 =L= 0;

e38..    x110 + 40*b233 =L= 40;

e39..    x111 + 40*b234 =L= 40;

e40..    x112 + 40*b235 =L= 40;

e41..    x119 - 3.71357206670431*b233 =L= 0;

e42..    x120 - 3.71357206670431*b234 =L= 0;

e43..    x121 - 3.71357206670431*b235 =L= 0;

e44..    x122 + 3.71357206670431*b233 =L= 3.71357206670431;

e45..    x123 + 3.71357206670431*b234 =L= 3.71357206670431;

e46..    x124 + 3.71357206670431*b235 =L= 3.71357206670431;

e47.. (x125/(1e-6 + b236) - 1.2*log(1 + x113/(1e-6 + b236)))*(1e-6 + b236)
       =L= 0;

e48.. (x126/(1e-6 + b237) - 1.2*log(1 + x114/(1e-6 + b237)))*(1e-6 + b237)
       =L= 0;

e49.. (x127/(1e-6 + b238) - 1.2*log(1 + x115/(1e-6 + b238)))*(1e-6 + b238)
       =L= 0;

e50..    x116 =E= 0;

e51..    x117 =E= 0;

e52..    x118 =E= 0;

e53..    x128 =E= 0;

e54..    x129 =E= 0;

e55..    x130 =E= 0;

e56..    x38 - x113 - x116 =E= 0;

e57..    x39 - x114 - x117 =E= 0;

e58..    x40 - x115 - x118 =E= 0;

e59..    x44 - x125 - x128 =E= 0;

e60..    x45 - x126 - x129 =E= 0;

e61..    x46 - x127 - x130 =E= 0;

e62..    x113 - 40*b236 =L= 0;

e63..    x114 - 40*b237 =L= 0;

e64..    x115 - 40*b238 =L= 0;

e65..    x116 + 40*b236 =L= 40;

e66..    x117 + 40*b237 =L= 40;

e67..    x118 + 40*b238 =L= 40;

e68..    x125 - 4.45628648004517*b236 =L= 0;

e69..    x126 - 4.45628648004517*b237 =L= 0;

e70..    x127 - 4.45628648004517*b238 =L= 0;

e71..    x128 + 4.45628648004517*b236 =L= 4.45628648004517;

e72..    x129 + 4.45628648004517*b237 =L= 4.45628648004517;

e73..    x130 + 4.45628648004517*b238 =L= 4.45628648004517;

e74..  - 0.75*x131 + x155 =E= 0;

e75..  - 0.75*x132 + x156 =E= 0;

e76..  - 0.75*x133 + x157 =E= 0;

e77..    x134 =E= 0;

e78..    x135 =E= 0;

e79..    x136 =E= 0;

e80..    x158 =E= 0;

e81..    x159 =E= 0;

e82..    x160 =E= 0;

e83..    x56 - x131 - x134 =E= 0;

e84..    x57 - x132 - x135 =E= 0;

e85..    x58 - x133 - x136 =E= 0;

e86..    x68 - x155 - x158 =E= 0;

e87..    x69 - x156 - x159 =E= 0;

e88..    x70 - x157 - x160 =E= 0;

e89..    x131 - 4.45628648004517*b239 =L= 0;

e90..    x132 - 4.45628648004517*b240 =L= 0;

e91..    x133 - 4.45628648004517*b241 =L= 0;

e92..    x134 + 4.45628648004517*b239 =L= 4.45628648004517;

e93..    x135 + 4.45628648004517*b240 =L= 4.45628648004517;

e94..    x136 + 4.45628648004517*b241 =L= 4.45628648004517;

e95..    x155 - 3.34221486003388*b239 =L= 0;

e96..    x156 - 3.34221486003388*b240 =L= 0;

e97..    x157 - 3.34221486003388*b241 =L= 0;

e98..    x158 + 3.34221486003388*b239 =L= 3.34221486003388;

e99..    x159 + 3.34221486003388*b240 =L= 3.34221486003388;

e100..    x160 + 3.34221486003388*b241 =L= 3.34221486003388;

e101.. (x161/(1e-6 + b242) - 1.5*log(1 + x137/(1e-6 + b242)))*(1e-6 + b242)
        =L= 0;

e102.. (x162/(1e-6 + b243) - 1.5*log(1 + x138/(1e-6 + b243)))*(1e-6 + b243)
        =L= 0;

e103.. (x163/(1e-6 + b244) - 1.5*log(1 + x139/(1e-6 + b244)))*(1e-6 + b244)
        =L= 0;

e104..    x140 =E= 0;

e105..    x141 =E= 0;

e106..    x142 =E= 0;

e107..    x167 =E= 0;

e108..    x168 =E= 0;

e109..    x169 =E= 0;

e110..    x59 - x137 - x140 =E= 0;

e111..    x60 - x138 - x141 =E= 0;

e112..    x61 - x139 - x142 =E= 0;

e113..    x71 - x161 - x167 =E= 0;

e114..    x72 - x162 - x168 =E= 0;

e115..    x73 - x163 - x169 =E= 0;

e116..    x137 - 4.45628648004517*b242 =L= 0;

e117..    x138 - 4.45628648004517*b243 =L= 0;

e118..    x139 - 4.45628648004517*b244 =L= 0;

e119..    x140 + 4.45628648004517*b242 =L= 4.45628648004517;

e120..    x141 + 4.45628648004517*b243 =L= 4.45628648004517;

e121..    x142 + 4.45628648004517*b244 =L= 4.45628648004517;

e122..    x161 - 2.54515263975353*b242 =L= 0;

e123..    x162 - 2.54515263975353*b243 =L= 0;

e124..    x163 - 2.54515263975353*b244 =L= 0;

e125..    x167 + 2.54515263975353*b242 =L= 2.54515263975353;

e126..    x168 + 2.54515263975353*b243 =L= 2.54515263975353;

e127..    x169 + 2.54515263975353*b244 =L= 2.54515263975353;

e128..  - x143 + x173 =E= 0;

e129..  - x144 + x174 =E= 0;

e130..  - x145 + x175 =E= 0;

e131..  - 0.5*x149 + x173 =E= 0;

e132..  - 0.5*x150 + x174 =E= 0;

e133..  - 0.5*x151 + x175 =E= 0;

e134..    x146 =E= 0;

e135..    x147 =E= 0;

e136..    x148 =E= 0;

e137..    x152 =E= 0;

e138..    x153 =E= 0;

e139..    x154 =E= 0;

e140..    x176 =E= 0;

e141..    x177 =E= 0;

e142..    x178 =E= 0;

e143..    x62 - x143 - x146 =E= 0;

e144..    x63 - x144 - x147 =E= 0;

e145..    x64 - x145 - x148 =E= 0;

e146..    x65 - x149 - x152 =E= 0;

e147..    x66 - x150 - x153 =E= 0;

e148..    x67 - x151 - x154 =E= 0;

e149..    x74 - x173 - x176 =E= 0;

e150..    x75 - x174 - x177 =E= 0;

e151..    x76 - x175 - x178 =E= 0;

e152..    x143 - 4.45628648004517*b245 =L= 0;

e153..    x144 - 4.45628648004517*b246 =L= 0;

e154..    x145 - 4.45628648004517*b247 =L= 0;

e155..    x146 + 4.45628648004517*b245 =L= 4.45628648004517;

e156..    x147 + 4.45628648004517*b246 =L= 4.45628648004517;

e157..    x148 + 4.45628648004517*b247 =L= 4.45628648004517;

e158..    x149 - 30*b245 =L= 0;

e159..    x150 - 30*b246 =L= 0;

e160..    x151 - 30*b247 =L= 0;

e161..    x152 + 30*b245 =L= 30;

e162..    x153 + 30*b246 =L= 30;

e163..    x154 + 30*b247 =L= 30;

e164..    x173 - 15*b245 =L= 0;

e165..    x174 - 15*b246 =L= 0;

e166..    x175 - 15*b247 =L= 0;

e167..    x176 + 15*b245 =L= 15;

e168..    x177 + 15*b246 =L= 15;

e169..    x178 + 15*b247 =L= 15;

e170.. (x203/(1e-6 + b248) - 1.25*log(1 + x179/(1e-6 + b248)))*(1e-6 + b248)
        =L= 0;

e171.. (x204/(1e-6 + b249) - 1.25*log(1 + x180/(1e-6 + b249)))*(1e-6 + b249)
        =L= 0;

e172.. (x205/(1e-6 + b250) - 1.25*log(1 + x181/(1e-6 + b250)))*(1e-6 + b250)
        =L= 0;

e173..    x182 =E= 0;

e174..    x183 =E= 0;

e175..    x184 =E= 0;

e176..    x206 =E= 0;

e177..    x207 =E= 0;

e178..    x208 =E= 0;

e179..    x77 - x179 - x182 =E= 0;

e180..    x78 - x180 - x183 =E= 0;

e181..    x79 - x181 - x184 =E= 0;

e182..    x92 - x203 - x206 =E= 0;

e183..    x93 - x204 - x207 =E= 0;

e184..    x94 - x205 - x208 =E= 0;

e185..    x179 - 3.34221486003388*b248 =L= 0;

e186..    x180 - 3.34221486003388*b249 =L= 0;

e187..    x181 - 3.34221486003388*b250 =L= 0;

e188..    x182 + 3.34221486003388*b248 =L= 3.34221486003388;

e189..    x183 + 3.34221486003388*b249 =L= 3.34221486003388;

e190..    x184 + 3.34221486003388*b250 =L= 3.34221486003388;

e191..    x203 - 1.83548069293539*b248 =L= 0;

e192..    x204 - 1.83548069293539*b249 =L= 0;

e193..    x205 - 1.83548069293539*b250 =L= 0;

e194..    x206 + 1.83548069293539*b248 =L= 1.83548069293539;

e195..    x207 + 1.83548069293539*b249 =L= 1.83548069293539;

e196..    x208 + 1.83548069293539*b250 =L= 1.83548069293539;

e197.. (x209/(1e-6 + b251) - 0.9*log(1 + x185/(1e-6 + b251)))*(1e-6 + b251)
        =L= 0;

e198.. (x210/(1e-6 + b252) - 0.9*log(1 + x186/(1e-6 + b252)))*(1e-6 + b252)
        =L= 0;

e199.. (x211/(1e-6 + b253) - 0.9*log(1 + x187/(1e-6 + b253)))*(1e-6 + b253)
        =L= 0;

e200..    x188 =E= 0;

e201..    x189 =E= 0;

e202..    x190 =E= 0;

e203..    x212 =E= 0;

e204..    x213 =E= 0;

e205..    x214 =E= 0;

e206..    x80 - x185 - x188 =E= 0;

e207..    x81 - x186 - x189 =E= 0;

e208..    x82 - x187 - x190 =E= 0;

e209..    x95 - x209 - x212 =E= 0;

e210..    x96 - x210 - x213 =E= 0;

e211..    x97 - x211 - x214 =E= 0;

e212..    x185 - 3.34221486003388*b251 =L= 0;

e213..    x186 - 3.34221486003388*b252 =L= 0;

e214..    x187 - 3.34221486003388*b253 =L= 0;

e215..    x188 + 3.34221486003388*b251 =L= 3.34221486003388;

e216..    x189 + 3.34221486003388*b252 =L= 3.34221486003388;

e217..    x190 + 3.34221486003388*b253 =L= 3.34221486003388;

e218..    x209 - 1.32154609891348*b251 =L= 0;

e219..    x210 - 1.32154609891348*b252 =L= 0;

e220..    x211 - 1.32154609891348*b253 =L= 0;

e221..    x212 + 1.32154609891348*b251 =L= 1.32154609891348;

e222..    x213 + 1.32154609891348*b252 =L= 1.32154609891348;

e223..    x214 + 1.32154609891348*b253 =L= 1.32154609891348;

e224.. (x215/(1e-6 + b254) - log(1 + x164/(1e-6 + b254)))*(1e-6 + b254) =L= 0;

e225.. (x216/(1e-6 + b255) - log(1 + x165/(1e-6 + b255)))*(1e-6 + b255) =L= 0;

e226.. (x217/(1e-6 + b256) - log(1 + x166/(1e-6 + b256)))*(1e-6 + b256) =L= 0;

e227..    x170 =E= 0;

e228..    x171 =E= 0;

e229..    x172 =E= 0;

e230..    x218 =E= 0;

e231..    x219 =E= 0;

e232..    x220 =E= 0;

e233..    x71 - x164 - x170 =E= 0;

e234..    x72 - x165 - x171 =E= 0;

e235..    x73 - x166 - x172 =E= 0;

e236..    x98 - x215 - x218 =E= 0;

e237..    x99 - x216 - x219 =E= 0;

e238..    x100 - x217 - x220 =E= 0;

e239..    x164 - 2.54515263975353*b254 =L= 0;

e240..    x165 - 2.54515263975353*b255 =L= 0;

e241..    x166 - 2.54515263975353*b256 =L= 0;

e242..    x170 + 2.54515263975353*b254 =L= 2.54515263975353;

e243..    x171 + 2.54515263975353*b255 =L= 2.54515263975353;

e244..    x172 + 2.54515263975353*b256 =L= 2.54515263975353;

e245..    x215 - 1.26558121681553*b254 =L= 0;

e246..    x216 - 1.26558121681553*b255 =L= 0;

e247..    x217 - 1.26558121681553*b256 =L= 0;

e248..    x218 + 1.26558121681553*b254 =L= 1.26558121681553;

e249..    x219 + 1.26558121681553*b255 =L= 1.26558121681553;

e250..    x220 + 1.26558121681553*b256 =L= 1.26558121681553;

e251..  - 0.9*x191 + x221 =E= 0;

e252..  - 0.9*x192 + x222 =E= 0;

e253..  - 0.9*x193 + x223 =E= 0;

e254..    x194 =E= 0;

e255..    x195 =E= 0;

e256..    x196 =E= 0;

e257..    x224 =E= 0;

e258..    x225 =E= 0;

e259..    x226 =E= 0;

e260..    x83 - x191 - x194 =E= 0;

e261..    x84 - x192 - x195 =E= 0;

e262..    x85 - x193 - x196 =E= 0;

e263..    x101 - x221 - x224 =E= 0;

e264..    x102 - x222 - x225 =E= 0;

e265..    x103 - x223 - x226 =E= 0;

e266..    x191 - 15*b257 =L= 0;

e267..    x192 - 15*b258 =L= 0;

e268..    x193 - 15*b259 =L= 0;

e269..    x194 + 15*b257 =L= 15;

e270..    x195 + 15*b258 =L= 15;

e271..    x196 + 15*b259 =L= 15;

e272..    x221 - 13.5*b257 =L= 0;

e273..    x222 - 13.5*b258 =L= 0;

e274..    x223 - 13.5*b259 =L= 0;

e275..    x224 + 13.5*b257 =L= 13.5;

e276..    x225 + 13.5*b258 =L= 13.5;

e277..    x226 + 13.5*b259 =L= 13.5;

e278..  - 0.6*x197 + x227 =E= 0;

e279..  - 0.6*x198 + x228 =E= 0;

e280..  - 0.6*x199 + x229 =E= 0;

e281..    x200 =E= 0;

e282..    x201 =E= 0;

e283..    x202 =E= 0;

e284..    x230 =E= 0;

e285..    x231 =E= 0;

e286..    x232 =E= 0;

e287..    x86 - x197 - x200 =E= 0;

e288..    x87 - x198 - x201 =E= 0;

e289..    x88 - x199 - x202 =E= 0;

e290..    x104 - x227 - x230 =E= 0;

e291..    x105 - x228 - x231 =E= 0;

e292..    x106 - x229 - x232 =E= 0;

e293..    x197 - 15*b260 =L= 0;

e294..    x198 - 15*b261 =L= 0;

e295..    x199 - 15*b262 =L= 0;

e296..    x200 + 15*b260 =L= 15;

e297..    x201 + 15*b261 =L= 15;

e298..    x202 + 15*b262 =L= 15;

e299..    x227 - 9*b260 =L= 0;

e300..    x228 - 9*b261 =L= 0;

e301..    x229 - 9*b262 =L= 0;

e302..    x230 + 9*b260 =L= 9;

e303..    x231 + 9*b261 =L= 9;

e304..    x232 + 9*b262 =L= 9;

e305..    x2 + 5*b263 =E= 0;

e306..    x3 + 4*b264 =E= 0;

e307..    x4 + 6*b265 =E= 0;

e308..    x5 + 8*b266 =E= 0;

e309..    x6 + 7*b267 =E= 0;

e310..    x7 + 6*b268 =E= 0;

e311..    x8 + 6*b269 =E= 0;

e312..    x9 + 9*b270 =E= 0;

e313..    x10 + 4*b271 =E= 0;

e314..    x11 + 10*b272 =E= 0;

e315..    x12 + 9*b273 =E= 0;

e316..    x13 + 5*b274 =E= 0;

e317..    x14 + 6*b275 =E= 0;

e318..    x15 + 10*b276 =E= 0;

e319..    x16 + 6*b277 =E= 0;

e320..    x17 + 7*b278 =E= 0;

e321..    x18 + 7*b279 =E= 0;

e322..    x19 + 4*b280 =E= 0;

e323..    x20 + 4*b281 =E= 0;

e324..    x21 + 3*b282 =E= 0;

e325..    x22 + 2*b283 =E= 0;

e326..    x23 + 5*b284 =E= 0;

e327..    x24 + 6*b285 =E= 0;

e328..    x25 + 7*b286 =E= 0;

e329..    x26 + 2*b287 =E= 0;

e330..    x27 + 5*b288 =E= 0;

e331..    x28 + 2*b289 =E= 0;

e332..    x29 + 4*b290 =E= 0;

e333..    x30 + 7*b291 =E= 0;

e334..    x31 + 4*b292 =E= 0;

e335..    b233 - b234 =L= 0;

e336..    b233 - b235 =L= 0;

e337..    b234 - b235 =L= 0;

e338..    b236 - b237 =L= 0;

e339..    b236 - b238 =L= 0;

e340..    b237 - b238 =L= 0;

e341..    b239 - b240 =L= 0;

e342..    b239 - b241 =L= 0;

e343..    b240 - b241 =L= 0;

e344..    b242 - b243 =L= 0;

e345..    b242 - b244 =L= 0;

e346..    b243 - b244 =L= 0;

e347..    b245 - b246 =L= 0;

e348..    b245 - b247 =L= 0;

e349..    b246 - b247 =L= 0;

e350..    b248 - b249 =L= 0;

e351..    b248 - b250 =L= 0;

e352..    b249 - b250 =L= 0;

e353..    b251 - b252 =L= 0;

e354..    b251 - b253 =L= 0;

e355..    b252 - b253 =L= 0;

e356..    b254 - b255 =L= 0;

e357..    b254 - b256 =L= 0;

e358..    b255 - b256 =L= 0;

e359..    b257 - b258 =L= 0;

e360..    b257 - b259 =L= 0;

e361..    b258 - b259 =L= 0;

e362..    b260 - b261 =L= 0;

e363..    b260 - b262 =L= 0;

e364..    b261 - b262 =L= 0;

e365..    b263 + b264 =L= 1;

e366..    b263 + b265 =L= 1;

e367..    b263 + b264 =L= 1;

e368..    b264 + b265 =L= 1;

e369..    b263 + b265 =L= 1;

e370..    b264 + b265 =L= 1;

e371..    b266 + b267 =L= 1;

e372..    b266 + b268 =L= 1;

e373..    b266 + b267 =L= 1;

e374..    b267 + b268 =L= 1;

e375..    b266 + b268 =L= 1;

e376..    b267 + b268 =L= 1;

e377..    b269 + b270 =L= 1;

e378..    b269 + b271 =L= 1;

e379..    b269 + b270 =L= 1;

e380..    b270 + b271 =L= 1;

e381..    b269 + b271 =L= 1;

e382..    b270 + b271 =L= 1;

e383..    b272 + b273 =L= 1;

e384..    b272 + b274 =L= 1;

e385..    b272 + b273 =L= 1;

e386..    b273 + b274 =L= 1;

e387..    b272 + b274 =L= 1;

e388..    b273 + b274 =L= 1;

e389..    b275 + b276 =L= 1;

e390..    b275 + b277 =L= 1;

e391..    b275 + b276 =L= 1;

e392..    b276 + b277 =L= 1;

e393..    b275 + b277 =L= 1;

e394..    b276 + b277 =L= 1;

e395..    b278 + b279 =L= 1;

e396..    b278 + b280 =L= 1;

e397..    b278 + b279 =L= 1;

e398..    b279 + b280 =L= 1;

e399..    b278 + b280 =L= 1;

e400..    b279 + b280 =L= 1;

e401..    b281 + b282 =L= 1;

e402..    b281 + b283 =L= 1;

e403..    b281 + b282 =L= 1;

e404..    b282 + b283 =L= 1;

e405..    b281 + b283 =L= 1;

e406..    b282 + b283 =L= 1;

e407..    b284 + b285 =L= 1;

e408..    b284 + b286 =L= 1;

e409..    b284 + b285 =L= 1;

e410..    b285 + b286 =L= 1;

e411..    b284 + b286 =L= 1;

e412..    b285 + b286 =L= 1;

e413..    b287 + b288 =L= 1;

e414..    b287 + b289 =L= 1;

e415..    b287 + b288 =L= 1;

e416..    b288 + b289 =L= 1;

e417..    b287 + b289 =L= 1;

e418..    b288 + b289 =L= 1;

e419..    b290 + b291 =L= 1;

e420..    b290 + b292 =L= 1;

e421..    b290 + b291 =L= 1;

e422..    b291 + b292 =L= 1;

e423..    b290 + b292 =L= 1;

e424..    b291 + b292 =L= 1;

e425..    b233 - b263 =L= 0;

e426..  - b233 + b234 - b264 =L= 0;

e427..  - b233 - b234 + b235 - b265 =L= 0;

e428..    b236 - b266 =L= 0;

e429..  - b236 + b237 - b267 =L= 0;

e430..  - b236 - b237 + b238 - b268 =L= 0;

e431..    b239 - b269 =L= 0;

e432..  - b239 + b240 - b270 =L= 0;

e433..  - b239 - b240 + b241 - b271 =L= 0;

e434..    b242 - b272 =L= 0;

e435..  - b242 + b243 - b273 =L= 0;

e436..  - b242 - b243 + b244 - b274 =L= 0;

e437..    b245 - b275 =L= 0;

e438..  - b245 + b246 - b276 =L= 0;

e439..  - b245 - b246 + b247 - b277 =L= 0;

e440..    b248 - b278 =L= 0;

e441..  - b248 + b249 - b279 =L= 0;

e442..  - b248 - b249 + b250 - b280 =L= 0;

e443..    b251 - b281 =L= 0;

e444..  - b251 + b252 - b282 =L= 0;

e445..  - b251 - b252 + b253 - b283 =L= 0;

e446..    b254 - b284 =L= 0;

e447..  - b254 + b255 - b285 =L= 0;

e448..  - b254 - b255 + b256 - b286 =L= 0;

e449..    b257 - b287 =L= 0;

e450..  - b257 + b258 - b288 =L= 0;

e451..  - b257 - b258 + b259 - b289 =L= 0;

e452..    b260 - b290 =L= 0;

e453..  - b260 + b261 - b291 =L= 0;

e454..  - b260 - b261 + b262 - b292 =L= 0;

e455..    b233 + b236 =E= 1;

e456..    b234 + b237 =E= 1;

e457..    b235 + b238 =E= 1;

e458..  - b239 + b248 + b251 =G= 0;

e459..  - b240 + b249 + b252 =G= 0;

e460..  - b241 + b250 + b253 =G= 0;

e461..  - b242 + b254 =G= 0;

e462..  - b243 + b255 =G= 0;

e463..  - b244 + b256 =G= 0;

e464..    b233 + b236 - b239 =G= 0;

e465..    b234 + b237 - b240 =G= 0;

e466..    b235 + b238 - b241 =G= 0;

e467..    b233 + b236 - b242 =G= 0;

e468..    b234 + b237 - b243 =G= 0;

e469..    b235 + b238 - b244 =G= 0;

e470..    b233 + b236 - b245 =G= 0;

e471..    b234 + b237 - b246 =G= 0;

e472..    b235 + b238 - b247 =G= 0;

e473..    b239 - b248 =G= 0;

e474..    b240 - b249 =G= 0;

e475..    b241 - b250 =G= 0;

e476..    b239 - b251 =G= 0;

e477..    b240 - b252 =G= 0;

e478..    b241 - b253 =G= 0;

e479..    b242 - b254 =G= 0;

e480..    b243 - b255 =G= 0;

e481..    b244 - b256 =G= 0;

e482..    b245 - b257 =G= 0;

e483..    b246 - b258 =G= 0;

e484..    b247 - b259 =G= 0;

e485..    b245 - b260 =G= 0;

e486..    b246 - b261 =G= 0;

e487..    b247 - b262 =G= 0;

* set non-default bounds
x32.up = 40;
x33.up = 40;
x34.up = 40;
x65.up = 30;
x66.up = 30;
x67.up = 30;

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: 2022-04-26 Git hash: de668763
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