MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: syn40h

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
Primal Bounds (infeas ≤ 1e-08)
67.71338657 p1 ( gdx sol )
(infeas: 4e-16)
Other points (infeas > 1e-08)  
Dual Bounds
67.71342238 (ALPHAECP)
390.61877520 (ANTIGONE)
67.71339016 (BARON)
67.71338685 (BONMIN)
121.91969250 (COUENNE)
67.71338658 (LINDO)
67.71354892 (SCIP)
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 Syn40H.gms from CMU-IBM MINLP solver project page
Application Synthesis of processing system
Added to library 28 Sep 2013
Problem type MBNLP
#Variables 302
#Binary Variables 40
#Integer Variables 0
#Nonlinear Variables 80
#Nonlinear Binary Variables 26
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 66
#Nonlinear Nonzeros in Objective 0
#Constraints 466
#Linear Constraints 438
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 28
Operands in Gen. Nonlin. Functions mul div log
Constraints curvature convex
#Nonzeros in Jacobian 1004
#Nonlinear Nonzeros in Jacobian 84
#Nonzeros in (Upper-Left) Hessian of Lagrangian 162
#Nonzeros in Diagonal of Hessian of Lagrangian 54
#Blocks in Hessian of Lagrangian 26
Minimal blocksize in Hessian of Lagrangian 3
Maximal blocksize in Hessian of Lagrangian 4
Average blocksize in Hessian of Lagrangian 3.076923
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
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
*        467      213       54      200        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        303      263       40        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1071      987       84        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,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245
          ,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258
          ,x259,x260,x261,x262,x263,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;

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,x236,x237,x238,x239,x240,x241,x242,x243,x244
          ,x245,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257
          ,x258,x259,x260,x261,x262,x263;

Binary Variables  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;

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;


e1..    objvar + x2 - 5*x8 + 2*x13 + 10*x30 + 5*x31 - 40*x38 - 15*x39 - 10*x40
      - 30*x41 - 35*x42 - 20*x43 - 25*x44 - 15*x45 - 30*x53 + x58 + 5*x75 + x76
      - 120*x83 - 140*x84 - 90*x85 - 80*x86 - 285*x87 - 290*x88 - 280*x89
      - 290*x90 - 350*x91 + 5*b264 + 8*b265 + 6*b266 + 10*b267 + 6*b268
      + 7*b269 + 4*b270 + 5*b271 + 2*b272 + 4*b273 + 3*b274 + 7*b275 + 3*b276
      + 2*b277 + 4*b278 + 2*b279 + 3*b280 + 5*b281 + 2*b282 + b283 + 2*b284
      + 9*b285 + 5*b286 + 2*b287 + 10*b288 + 4*b289 + 7*b290 + 4*b291 + 2*b292
      + 8*b293 + 9*b294 + 3*b295 + 5*b296 + 5*b297 + 6*b298 + 2*b299 + 6*b300
      + 3*b301 + 5*b302 + 9*b303 =E= 0;

e2..    x2 - x3 - x4 =E= 0;

e3..  - x5 - x6 + x7 =E= 0;

e4..    x7 - x8 - x9 =E= 0;

e5..    x9 - x10 - x11 - x12 =E= 0;

e6..    x14 - x17 - x18 =E= 0;

e7..    x16 - x19 - x20 - x21 =E= 0;

e8..    x24 - x28 - x29 =E= 0;

e9..  - x25 - x31 + x32 =E= 0;

e10..    x26 - x33 - x34 =E= 0;

e11..    x27 - x35 - x36 - x37 =E= 0;

e12..    x46 - x47 =E= 0;

e13..    x47 - x48 - x49 =E= 0;

e14..  - x50 - x51 + x52 =E= 0;

e15..    x52 - x53 - x54 =E= 0;

e16..    x54 - x55 - x56 - x57 =E= 0;

e17..    x59 - x62 - x63 =E= 0;

e18..    x61 - x64 - x65 - x66 =E= 0;

e19..    x69 - x73 - x74 =E= 0;

e20..  - x70 - x76 + x77 =E= 0;

e21..    x71 - x78 - x79 =E= 0;

e22..    x72 - x80 - x81 - x82 =E= 0;

e23.. (x96/(1e-6 + b264) - log(1 + x92/(1e-6 + b264)))*(1e-6 + b264) =L= 0;

e24..    x93 =E= 0;

e25..    x97 =E= 0;

e26..    x3 - x92 - x93 =E= 0;

e27..    x5 - x96 - x97 =E= 0;

e28..    x92 - 40*b264 =L= 0;

e29..    x93 + 40*b264 =L= 40;

e30..    x96 - 3.71357206670431*b264 =L= 0;

e31..    x97 + 3.71357206670431*b264 =L= 3.71357206670431;

e32.. (x98/(1e-6 + b265) - 1.2*log(1 + x94/(1e-6 + b265)))*(1e-6 + b265) =L= 0;

e33..    x95 =E= 0;

e34..    x99 =E= 0;

e35..    x4 - x94 - x95 =E= 0;

e36..    x6 - x98 - x99 =E= 0;

e37..    x94 - 40*b265 =L= 0;

e38..    x95 + 40*b265 =L= 40;

e39..    x98 - 4.45628648004517*b265 =L= 0;

e40..    x99 + 4.45628648004517*b265 =L= 4.45628648004517;

e41..  - 0.75*x100 + x108 =E= 0;

e42..    x101 =E= 0;

e43..    x109 =E= 0;

e44..    x10 - x100 - x101 =E= 0;

e45..    x14 - x108 - x109 =E= 0;

e46..    x100 - 4.45628648004517*b266 =L= 0;

e47..    x101 + 4.45628648004517*b266 =L= 4.45628648004517;

e48..    x108 - 3.34221486003388*b266 =L= 0;

e49..    x109 + 3.34221486003388*b266 =L= 3.34221486003388;

e50.. (x110/(1e-6 + b267) - 1.5*log(1 + x102/(1e-6 + b267)))*(1e-6 + b267)
       =L= 0;

e51..    x103 =E= 0;

e52..    x112 =E= 0;

e53..    x11 - x102 - x103 =E= 0;

e54..    x15 - x110 - x112 =E= 0;

e55..    x102 - 4.45628648004517*b267 =L= 0;

e56..    x103 + 4.45628648004517*b267 =L= 4.45628648004517;

e57..    x110 - 2.54515263975353*b267 =L= 0;

e58..    x112 + 2.54515263975353*b267 =L= 2.54515263975353;

e59..  - x104 + x114 =E= 0;

e60..  - 0.5*x106 + x114 =E= 0;

e61..    x105 =E= 0;

e62..    x107 =E= 0;

e63..    x115 =E= 0;

e64..    x12 - x104 - x105 =E= 0;

e65..    x13 - x106 - x107 =E= 0;

e66..    x16 - x114 - x115 =E= 0;

e67..    x104 - 4.45628648004517*b268 =L= 0;

e68..    x105 + 4.45628648004517*b268 =L= 4.45628648004517;

e69..    x106 - 30*b268 =L= 0;

e70..    x107 + 30*b268 =L= 30;

e71..    x114 - 15*b268 =L= 0;

e72..    x115 + 15*b268 =L= 15;

e73.. (x126/(1e-6 + b269) - 1.25*log(1 + x116/(1e-6 + b269)))*(1e-6 + b269)
       =L= 0;

e74..    x117 =E= 0;

e75..    x128 =E= 0;

e76..    x17 - x116 - x117 =E= 0;

e77..    x22 - x126 - x128 =E= 0;

e78..    x116 - 3.34221486003388*b269 =L= 0;

e79..    x117 + 3.34221486003388*b269 =L= 3.34221486003388;

e80..    x126 - 1.83548069293539*b269 =L= 0;

e81..    x128 + 1.83548069293539*b269 =L= 1.83548069293539;

e82.. (x130/(1e-6 + b270) - 0.9*log(1 + x118/(1e-6 + b270)))*(1e-6 + b270)
       =L= 0;

e83..    x119 =E= 0;

e84..    x132 =E= 0;

e85..    x18 - x118 - x119 =E= 0;

e86..    x23 - x130 - x132 =E= 0;

e87..    x118 - 3.34221486003388*b270 =L= 0;

e88..    x119 + 3.34221486003388*b270 =L= 3.34221486003388;

e89..    x130 - 1.32154609891348*b270 =L= 0;

e90..    x132 + 1.32154609891348*b270 =L= 1.32154609891348;

e91.. (x134/(1e-6 + b271) - log(1 + x111/(1e-6 + b271)))*(1e-6 + b271) =L= 0;

e92..    x113 =E= 0;

e93..    x135 =E= 0;

e94..    x15 - x111 - x113 =E= 0;

e95..    x24 - x134 - x135 =E= 0;

e96..    x111 - 2.54515263975353*b271 =L= 0;

e97..    x113 + 2.54515263975353*b271 =L= 2.54515263975353;

e98..    x134 - 1.26558121681553*b271 =L= 0;

e99..    x135 + 1.26558121681553*b271 =L= 1.26558121681553;

e100..  - 0.9*x120 + x136 =E= 0;

e101..    x121 =E= 0;

e102..    x137 =E= 0;

e103..    x19 - x120 - x121 =E= 0;

e104..    x25 - x136 - x137 =E= 0;

e105..    x120 - 15*b272 =L= 0;

e106..    x121 + 15*b272 =L= 15;

e107..    x136 - 13.5*b272 =L= 0;

e108..    x137 + 13.5*b272 =L= 13.5;

e109..  - 0.6*x122 + x138 =E= 0;

e110..    x123 =E= 0;

e111..    x139 =E= 0;

e112..    x20 - x122 - x123 =E= 0;

e113..    x26 - x138 - x139 =E= 0;

e114..    x122 - 15*b273 =L= 0;

e115..    x123 + 15*b273 =L= 15;

e116..    x138 - 9*b273 =L= 0;

e117..    x139 + 9*b273 =L= 9;

e118.. (x140/(1e-6 + b274) - 1.1*log(1 + x124/(1e-6 + b274)))*(1e-6 + b274)
        =L= 0;

e119..    x125 =E= 0;

e120..    x141 =E= 0;

e121..    x21 - x124 - x125 =E= 0;

e122..    x27 - x140 - x141 =E= 0;

e123..    x124 - 15*b274 =L= 0;

e124..    x125 + 15*b274 =L= 15;

e125..    x140 - 3.04984759446376*b274 =L= 0;

e126..    x141 + 3.04984759446376*b274 =L= 3.04984759446376;

e127..  - 0.9*x127 + x160 =E= 0;

e128..  - x146 + x160 =E= 0;

e129..    x129 =E= 0;

e130..    x147 =E= 0;

e131..    x161 =E= 0;

e132..    x22 - x127 - x129 =E= 0;

e133..    x30 - x146 - x147 =E= 0;

e134..    x38 - x160 - x161 =E= 0;

e135..    x127 - 1.83548069293539*b275 =L= 0;

e136..    x129 + 1.83548069293539*b275 =L= 1.83548069293539;

e137..    x146 - 20*b275 =L= 0;

e138..    x147 + 20*b275 =L= 20;

e139..    x160 - 20*b275 =L= 0;

e140..    x161 + 20*b275 =L= 20;

e141.. (x162/(1e-6 + b276) - log(1 + x131/(1e-6 + b276)))*(1e-6 + b276) =L= 0;

e142..    x133 =E= 0;

e143..    x163 =E= 0;

e144..    x23 - x131 - x133 =E= 0;

e145..    x39 - x162 - x163 =E= 0;

e146..    x131 - 1.32154609891348*b276 =L= 0;

e147..    x133 + 1.32154609891348*b276 =L= 1.32154609891348;

e148..    x162 - 0.842233385663186*b276 =L= 0;

e149..    x163 + 0.842233385663186*b276 =L= 0.842233385663186;

e150.. (x164/(1e-6 + b277) - 0.7*log(1 + x142/(1e-6 + b277)))*(1e-6 + b277)
        =L= 0;

e151..    x143 =E= 0;

e152..    x165 =E= 0;

e153..    x28 - x142 - x143 =E= 0;

e154..    x40 - x164 - x165 =E= 0;

e155..    x142 - 1.26558121681553*b277 =L= 0;

e156..    x143 + 1.26558121681553*b277 =L= 1.26558121681553;

e157..    x164 - 0.572481933717686*b277 =L= 0;

e158..    x165 + 0.572481933717686*b277 =L= 0.572481933717686;

e159.. (x166/(1e-6 + b278) - 0.65*log(1 + x144/(1e-6 + b278)))*(1e-6 + b278)
        =L= 0;

e160.. (x166/(1e-6 + b278) - 0.65*log(1 + x148/(1e-6 + b278)))*(1e-6 + b278)
        =L= 0;

e161..    x145 =E= 0;

e162..    x149 =E= 0;

e163..    x167 =E= 0;

e164..    x29 - x144 - x145 =E= 0;

e165..    x32 - x148 - x149 =E= 0;

e166..    x41 - x166 - x167 =E= 0;

e167..    x144 - 1.26558121681553*b278 =L= 0;

e168..    x145 + 1.26558121681553*b278 =L= 1.26558121681553;

e169..    x148 - 33.5*b278 =L= 0;

e170..    x149 + 33.5*b278 =L= 33.5;

e171..    x166 - 2.30162356062425*b278 =L= 0;

e172..    x167 + 2.30162356062425*b278 =L= 2.30162356062425;

e173..  - x150 + x168 =E= 0;

e174..    x151 =E= 0;

e175..    x169 =E= 0;

e176..    x33 - x150 - x151 =E= 0;

e177..    x42 - x168 - x169 =E= 0;

e178..    x150 - 9*b279 =L= 0;

e179..    x151 + 9*b279 =L= 9;

e180..    x168 - 9*b279 =L= 0;

e181..    x169 + 9*b279 =L= 9;

e182..  - x152 + x170 =E= 0;

e183..    x153 =E= 0;

e184..    x171 =E= 0;

e185..    x34 - x152 - x153 =E= 0;

e186..    x43 - x170 - x171 =E= 0;

e187..    x152 - 9*b280 =L= 0;

e188..    x153 + 9*b280 =L= 9;

e189..    x170 - 9*b280 =L= 0;

e190..    x171 + 9*b280 =L= 9;

e191.. (x172/(1e-6 + b281) - 0.75*log(1 + x154/(1e-6 + b281)))*(1e-6 + b281)
        =L= 0;

e192..    x155 =E= 0;

e193..    x173 =E= 0;

e194..    x35 - x154 - x155 =E= 0;

e195..    x44 - x172 - x173 =E= 0;

e196..    x154 - 3.04984759446376*b281 =L= 0;

e197..    x155 + 3.04984759446376*b281 =L= 3.04984759446376;

e198..    x172 - 1.04900943706034*b281 =L= 0;

e199..    x173 + 1.04900943706034*b281 =L= 1.04900943706034;

e200.. (x174/(1e-6 + b282) - 0.8*log(1 + x156/(1e-6 + b282)))*(1e-6 + b282)
        =L= 0;

e201..    x157 =E= 0;

e202..    x175 =E= 0;

e203..    x36 - x156 - x157 =E= 0;

e204..    x45 - x174 - x175 =E= 0;

e205..    x156 - 3.04984759446376*b282 =L= 0;

e206..    x157 + 3.04984759446376*b282 =L= 3.04984759446376;

e207..    x174 - 1.11894339953103*b282 =L= 0;

e208..    x175 + 1.11894339953103*b282 =L= 1.11894339953103;

e209.. (x176/(1e-6 + b283) - 0.85*log(1 + x158/(1e-6 + b283)))*(1e-6 + b283)
        =L= 0;

e210..    x159 =E= 0;

e211..    x177 =E= 0;

e212..    x37 - x158 - x159 =E= 0;

e213..    x46 - x176 - x177 =E= 0;

e214..    x158 - 3.04984759446376*b283 =L= 0;

e215..    x159 + 3.04984759446376*b283 =L= 3.04984759446376;

e216..    x176 - 1.18887736200171*b283 =L= 0;

e217..    x177 + 1.18887736200171*b283 =L= 1.18887736200171;

e218.. (x182/(1e-6 + b284) - log(1 + x178/(1e-6 + b284)))*(1e-6 + b284) =L= 0;

e219..    x179 =E= 0;

e220..    x183 =E= 0;

e221..    x48 - x178 - x179 =E= 0;

e222..    x50 - x182 - x183 =E= 0;

e223..    x178 - 1.18887736200171*b284 =L= 0;

e224..    x179 + 1.18887736200171*b284 =L= 1.18887736200171;

e225..    x182 - 0.78338879230327*b284 =L= 0;

e226..    x183 + 0.78338879230327*b284 =L= 0.78338879230327;

e227.. (x184/(1e-6 + b285) - 1.2*log(1 + x180/(1e-6 + b285)))*(1e-6 + b285)
        =L= 0;

e228..    x181 =E= 0;

e229..    x185 =E= 0;

e230..    x49 - x180 - x181 =E= 0;

e231..    x51 - x184 - x185 =E= 0;

e232..    x180 - 1.18887736200171*b285 =L= 0;

e233..    x181 + 1.18887736200171*b285 =L= 1.18887736200171;

e234..    x184 - 0.940066550763924*b285 =L= 0;

e235..    x185 + 0.940066550763924*b285 =L= 0.940066550763924;

e236..  - 0.75*x186 + x194 =E= 0;

e237..    x187 =E= 0;

e238..    x195 =E= 0;

e239..    x55 - x186 - x187 =E= 0;

e240..    x59 - x194 - x195 =E= 0;

e241..    x186 - 0.940066550763924*b286 =L= 0;

e242..    x187 + 0.940066550763924*b286 =L= 0.940066550763924;

e243..    x194 - 0.705049913072943*b286 =L= 0;

e244..    x195 + 0.705049913072943*b286 =L= 0.705049913072943;

e245.. (x196/(1e-6 + b287) - 1.5*log(1 + x188/(1e-6 + b287)))*(1e-6 + b287)
        =L= 0;

e246..    x189 =E= 0;

e247..    x198 =E= 0;

e248..    x56 - x188 - x189 =E= 0;

e249..    x60 - x196 - x198 =E= 0;

e250..    x188 - 0.940066550763924*b287 =L= 0;

e251..    x189 + 0.940066550763924*b287 =L= 0.940066550763924;

e252..    x196 - 0.994083415506506*b287 =L= 0;

e253..    x198 + 0.994083415506506*b287 =L= 0.994083415506506;

e254..  - x190 + x200 =E= 0;

e255..  - 0.5*x192 + x200 =E= 0;

e256..    x191 =E= 0;

e257..    x193 =E= 0;

e258..    x201 =E= 0;

e259..    x57 - x190 - x191 =E= 0;

e260..    x58 - x192 - x193 =E= 0;

e261..    x61 - x200 - x201 =E= 0;

e262..    x190 - 0.940066550763924*b288 =L= 0;

e263..    x191 + 0.940066550763924*b288 =L= 0.940066550763924;

e264..    x192 - 30*b288 =L= 0;

e265..    x193 + 30*b288 =L= 30;

e266..    x200 - 15*b288 =L= 0;

e267..    x201 + 15*b288 =L= 15;

e268.. (x212/(1e-6 + b289) - 1.25*log(1 + x202/(1e-6 + b289)))*(1e-6 + b289)
        =L= 0;

e269..    x203 =E= 0;

e270..    x214 =E= 0;

e271..    x62 - x202 - x203 =E= 0;

e272..    x67 - x212 - x214 =E= 0;

e273..    x202 - 0.705049913072943*b289 =L= 0;

e274..    x203 + 0.705049913072943*b289 =L= 0.705049913072943;

e275..    x212 - 0.666992981045719*b289 =L= 0;

e276..    x214 + 0.666992981045719*b289 =L= 0.666992981045719;

e277.. (x216/(1e-6 + b290) - 0.9*log(1 + x204/(1e-6 + b290)))*(1e-6 + b290)
        =L= 0;

e278..    x205 =E= 0;

e279..    x218 =E= 0;

e280..    x63 - x204 - x205 =E= 0;

e281..    x68 - x216 - x218 =E= 0;

e282..    x204 - 0.705049913072943*b290 =L= 0;

e283..    x205 + 0.705049913072943*b290 =L= 0.705049913072943;

e284..    x216 - 0.480234946352917*b290 =L= 0;

e285..    x218 + 0.480234946352917*b290 =L= 0.480234946352917;

e286.. (x220/(1e-6 + b291) - log(1 + x197/(1e-6 + b291)))*(1e-6 + b291) =L= 0;

e287..    x199 =E= 0;

e288..    x221 =E= 0;

e289..    x60 - x197 - x199 =E= 0;

e290..    x69 - x220 - x221 =E= 0;

e291..    x197 - 0.994083415506506*b291 =L= 0;

e292..    x199 + 0.994083415506506*b291 =L= 0.994083415506506;

e293..    x220 - 0.690184503917672*b291 =L= 0;

e294..    x221 + 0.690184503917672*b291 =L= 0.690184503917672;

e295..  - 0.9*x206 + x222 =E= 0;

e296..    x207 =E= 0;

e297..    x223 =E= 0;

e298..    x64 - x206 - x207 =E= 0;

e299..    x70 - x222 - x223 =E= 0;

e300..    x206 - 15*b292 =L= 0;

e301..    x207 + 15*b292 =L= 15;

e302..    x222 - 13.5*b292 =L= 0;

e303..    x223 + 13.5*b292 =L= 13.5;

e304..  - 0.6*x208 + x224 =E= 0;

e305..    x209 =E= 0;

e306..    x225 =E= 0;

e307..    x65 - x208 - x209 =E= 0;

e308..    x71 - x224 - x225 =E= 0;

e309..    x208 - 15*b293 =L= 0;

e310..    x209 + 15*b293 =L= 15;

e311..    x224 - 9*b293 =L= 0;

e312..    x225 + 9*b293 =L= 9;

e313.. (x226/(1e-6 + b294) - 1.1*log(1 + x210/(1e-6 + b294)))*(1e-6 + b294)
        =L= 0;

e314..    x211 =E= 0;

e315..    x227 =E= 0;

e316..    x66 - x210 - x211 =E= 0;

e317..    x72 - x226 - x227 =E= 0;

e318..    x210 - 15*b294 =L= 0;

e319..    x211 + 15*b294 =L= 15;

e320..    x226 - 3.04984759446376*b294 =L= 0;

e321..    x227 + 3.04984759446376*b294 =L= 3.04984759446376;

e322..  - 0.9*x213 + x246 =E= 0;

e323..  - x232 + x246 =E= 0;

e324..    x215 =E= 0;

e325..    x233 =E= 0;

e326..    x247 =E= 0;

e327..    x67 - x213 - x215 =E= 0;

e328..    x75 - x232 - x233 =E= 0;

e329..    x83 - x246 - x247 =E= 0;

e330..    x213 - 0.666992981045719*b295 =L= 0;

e331..    x215 + 0.666992981045719*b295 =L= 0.666992981045719;

e332..    x232 - 25*b295 =L= 0;

e333..    x233 + 25*b295 =L= 25;

e334..    x246 - 25*b295 =L= 0;

e335..    x247 + 25*b295 =L= 25;

e336.. (x248/(1e-6 + b296) - log(1 + x217/(1e-6 + b296)))*(1e-6 + b296) =L= 0;

e337..    x219 =E= 0;

e338..    x249 =E= 0;

e339..    x68 - x217 - x219 =E= 0;

e340..    x84 - x248 - x249 =E= 0;

e341..    x217 - 0.480234946352917*b296 =L= 0;

e342..    x219 + 0.480234946352917*b296 =L= 0.480234946352917;

e343..    x248 - 0.392200822712722*b296 =L= 0;

e344..    x249 + 0.392200822712722*b296 =L= 0.392200822712722;

e345.. (x250/(1e-6 + b297) - 0.7*log(1 + x228/(1e-6 + b297)))*(1e-6 + b297)
        =L= 0;

e346..    x229 =E= 0;

e347..    x251 =E= 0;

e348..    x73 - x228 - x229 =E= 0;

e349..    x85 - x250 - x251 =E= 0;

e350..    x228 - 0.690184503917672*b297 =L= 0;

e351..    x229 + 0.690184503917672*b297 =L= 0.690184503917672;

e352..    x250 - 0.367386387824208*b297 =L= 0;

e353..    x251 + 0.367386387824208*b297 =L= 0.367386387824208;

e354.. (x252/(1e-6 + b298) - 0.65*log(1 + x230/(1e-6 + b298)))*(1e-6 + b298)
        =L= 0;

e355.. (x252/(1e-6 + b298) - 0.65*log(1 + x234/(1e-6 + b298)))*(1e-6 + b298)
        =L= 0;

e356..    x231 =E= 0;

e357..    x235 =E= 0;

e358..    x253 =E= 0;

e359..    x74 - x230 - x231 =E= 0;

e360..    x77 - x234 - x235 =E= 0;

e361..    x86 - x252 - x253 =E= 0;

e362..    x230 - 0.690184503917672*b298 =L= 0;

e363..    x231 + 0.690184503917672*b298 =L= 0.690184503917672;

e364..    x234 - 38.5*b298 =L= 0;

e365..    x235 + 38.5*b298 =L= 38.5;

e366..    x252 - 2.3895954367396*b298 =L= 0;

e367..    x253 + 2.3895954367396*b298 =L= 2.3895954367396;

e368..  - x236 + x254 =E= 0;

e369..    x237 =E= 0;

e370..    x255 =E= 0;

e371..    x78 - x236 - x237 =E= 0;

e372..    x87 - x254 - x255 =E= 0;

e373..    x236 - 9*b299 =L= 0;

e374..    x237 + 9*b299 =L= 9;

e375..    x254 - 9*b299 =L= 0;

e376..    x255 + 9*b299 =L= 9;

e377..  - x238 + x256 =E= 0;

e378..    x239 =E= 0;

e379..    x257 =E= 0;

e380..    x79 - x238 - x239 =E= 0;

e381..    x88 - x256 - x257 =E= 0;

e382..    x238 - 9*b300 =L= 0;

e383..    x239 + 9*b300 =L= 9;

e384..    x256 - 9*b300 =L= 0;

e385..    x257 + 9*b300 =L= 9;

e386.. (x258/(1e-6 + b301) - 0.75*log(1 + x240/(1e-6 + b301)))*(1e-6 + b301)
        =L= 0;

e387..    x241 =E= 0;

e388..    x259 =E= 0;

e389..    x80 - x240 - x241 =E= 0;

e390..    x89 - x258 - x259 =E= 0;

e391..    x240 - 3.04984759446376*b301 =L= 0;

e392..    x241 + 3.04984759446376*b301 =L= 3.04984759446376;

e393..    x258 - 1.04900943706034*b301 =L= 0;

e394..    x259 + 1.04900943706034*b301 =L= 1.04900943706034;

e395.. (x260/(1e-6 + b302) - 0.8*log(1 + x242/(1e-6 + b302)))*(1e-6 + b302)
        =L= 0;

e396..    x243 =E= 0;

e397..    x261 =E= 0;

e398..    x81 - x242 - x243 =E= 0;

e399..    x90 - x260 - x261 =E= 0;

e400..    x242 - 3.04984759446376*b302 =L= 0;

e401..    x243 + 3.04984759446376*b302 =L= 3.04984759446376;

e402..    x260 - 1.11894339953103*b302 =L= 0;

e403..    x261 + 1.11894339953103*b302 =L= 1.11894339953103;

e404.. (x262/(1e-6 + b303) - 0.85*log(1 + x244/(1e-6 + b303)))*(1e-6 + b303)
        =L= 0;

e405..    x245 =E= 0;

e406..    x263 =E= 0;

e407..    x82 - x244 - x245 =E= 0;

e408..    x91 - x262 - x263 =E= 0;

e409..    x244 - 3.04984759446376*b303 =L= 0;

e410..    x245 + 3.04984759446376*b303 =L= 3.04984759446376;

e411..    x262 - 1.18887736200171*b303 =L= 0;

e412..    x263 + 1.18887736200171*b303 =L= 1.18887736200171;

e413..    b264 + b265 =E= 1;

e414..  - b266 + b269 + b270 =G= 0;

e415..  - b269 + b275 =G= 0;

e416..  - b270 + b276 =G= 0;

e417..  - b267 + b271 =G= 0;

e418..  - b271 + b277 + b278 =G= 0;

e419..  - b268 + b272 + b273 + b274 =G= 0;

e420..  - b272 + b278 =G= 0;

e421..  - b273 + b279 + b280 =G= 0;

e422..  - b274 + b281 + b282 + b283 =G= 0;

e423..    b266 - b269 =G= 0;

e424..    b266 - b270 =G= 0;

e425..    b267 - b271 =G= 0;

e426..    b268 - b272 =G= 0;

e427..    b268 - b273 =G= 0;

e428..    b268 - b274 =G= 0;

e429..    b269 - b275 =G= 0;

e430..    b270 - b276 =G= 0;

e431..    b271 - b277 =G= 0;

e432..    b271 - b278 =G= 0;

e433..    b273 - b279 =G= 0;

e434..    b273 - b280 =G= 0;

e435..    b274 - b281 =G= 0;

e436..    b274 - b282 =G= 0;

e437..    b274 - b283 =G= 0;

e438..  - b283 + b284 + b285 =G= 0;

e439..  - b286 + b289 + b290 =G= 0;

e440..  - b289 + b295 =G= 0;

e441..  - b290 + b296 =G= 0;

e442..  - b287 + b291 =G= 0;

e443..  - b291 + b297 + b298 =G= 0;

e444..  - b288 + b292 + b293 + b294 =G= 0;

e445..  - b292 + b298 =G= 0;

e446..  - b293 + b299 + b300 =G= 0;

e447..  - b294 + b301 + b302 + b303 =G= 0;

e448..    b286 - b289 =G= 0;

e449..    b286 - b290 =G= 0;

e450..    b289 - b295 =G= 0;

e451..    b290 - b296 =G= 0;

e452..    b287 - b291 =G= 0;

e453..    b291 - b297 =G= 0;

e454..    b291 - b298 =G= 0;

e455..    b288 - b292 =G= 0;

e456..    b288 - b293 =G= 0;

e457..    b288 - b294 =G= 0;

e458..    b293 - b299 =G= 0;

e459..    b293 - b300 =G= 0;

e460..    b294 - b301 =G= 0;

e461..    b294 - b302 =G= 0;

e462..    b294 - b303 =G= 0;

e463..    b264 + b265 - b266 =G= 0;

e464..    b264 + b265 - b267 =G= 0;

e465..    b264 + b265 - b268 =G= 0;

e466..    b283 - b284 =G= 0;

e467..    b283 - b285 =G= 0;

* set non-default bounds
x2.up = 40;
x13.up = 30;
x30.up = 20;
x31.up = 20;
x58.up = 30;
x75.up = 25;
x76.up = 25;

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: 2019-06-04 Git hash: 78444eaa
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