MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Removed Instance syn15m02h

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)
2832.74913900 p1 ( gdx sol )
(infeas: 3e-15)
Other points (infeas > 1e-08)  
Dual Bounds
2832.75240600 (ALPHAECP)
2832.74914200 (ANTIGONE)
2832.74914200 (BARON)
2832.74913900 (BONMIN)
2832.74913900 (COUENNE)
2832.74913900 (LINDO)
2832.74929800 (SCIP)
2832.74960200 (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 Syn15M02H.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Removed because Superseded by syn15m02hfsg.
Problem type MBNLP
#Variables 302
#Binary Variables 60
#Integer Variables 0
#Nonlinear Variables 62
#Nonlinear Binary Variables 20
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 52
#Nonlinear Nonzeros in Objective 0
#Constraints 467
#Linear Constraints 445
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 22
Operands in Gen. Nonlin. Functions div log mul
Constraints curvature convex
#Nonzeros in Jacobian 1011
#Nonlinear Nonzeros in Jacobian 66
#Nonzeros in (Upper-Left) Hessian of Lagrangian 126
#Nonzeros in Diagonal of Hessian of Lagrangian 42
#Blocks in Hessian of Lagrangian 20
Minimal blocksize in Hessian of Lagrangian 3
Maximal blocksize in Hessian of Lagrangian 4
Average blocksize in Hessian of Lagrangian 3.1
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.0000e-06
Maximal coefficient 6.0000e+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
*        468      199       40      229        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        303      243       60        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1064      998       66        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,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,b293,b294,b295,b296,b297
          ,b298,b299,b300,b301,b302,b303;

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,x233,x234,x235,x236,x237,x238,x239,x240
          ,x241,x242,x243;

Binary Variables  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,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
          ,e468;


e1..    objvar + x32 + x33 - 5*x44 - 10*x45 + 2*x54 + x55 - 500*x80 - 600*x81
      - 350*x82 - 400*x83 + 10*x88 + 5*x89 + 5*x90 + 5*x91 - 80*x104 - 130*x105
      - 110*x106 - 120*x107 - 110*x108 - 130*x109 - 80*x110 - 90*x111 + 5*b274
      + 4*b275 + 8*b276 + 7*b277 + 6*b278 + 9*b279 + 10*b280 + 9*b281 + 6*b282
      + 10*b283 + 7*b284 + 7*b285 + 4*b286 + 3*b287 + 5*b288 + 6*b289 + 2*b290
      + 5*b291 + 4*b292 + 7*b293 + 3*b294 + 9*b295 + 7*b296 + 2*b297 + 3*b298
      + b299 + 2*b300 + 6*b301 + 4*b302 + 8*b303 =E= 0;

e2..    x32 - x34 - x36 =E= 0;

e3..    x33 - x35 - x37 =E= 0;

e4..  - x38 - x40 + x42 =E= 0;

e5..  - x39 - x41 + x43 =E= 0;

e6..    x42 - x44 - x46 =E= 0;

e7..    x43 - x45 - x47 =E= 0;

e8..    x46 - x48 - x50 - x52 =E= 0;

e9..    x47 - x49 - x51 - x53 =E= 0;

e10..    x56 - x62 - x64 =E= 0;

e11..    x57 - x63 - x65 =E= 0;

e12..    x60 - x66 - x68 - x70 =E= 0;

e13..    x61 - x67 - x69 - x71 =E= 0;

e14..    x76 - x84 - x86 =E= 0;

e15..    x77 - x85 - x87 =E= 0;

e16..  - x78 - x90 + x92 =E= 0;

e17..  - x79 - x91 + x93 =E= 0;

e18..    x80 - x94 - x96 =E= 0;

e19..    x81 - x95 - x97 =E= 0;

e20..    x82 - x98 - x100 - x102 =E= 0;

e21..    x83 - x99 - x101 - x103 =E= 0;

e22.. (x120/(1e-6 + b244) - log(1 + x112/(1e-6 + b244)))*(1e-6 + b244) =L= 0;

e23.. (x121/(1e-6 + b245) - log(1 + x113/(1e-6 + b245)))*(1e-6 + b245) =L= 0;

e24..    x114 =E= 0;

e25..    x115 =E= 0;

e26..    x122 =E= 0;

e27..    x123 =E= 0;

e28..    x34 - x112 - x114 =E= 0;

e29..    x35 - x113 - x115 =E= 0;

e30..    x38 - x120 - x122 =E= 0;

e31..    x39 - x121 - x123 =E= 0;

e32..    x112 - 40*b244 =L= 0;

e33..    x113 - 40*b245 =L= 0;

e34..    x114 + 40*b244 =L= 40;

e35..    x115 + 40*b245 =L= 40;

e36..    x120 - 3.71357206670431*b244 =L= 0;

e37..    x121 - 3.71357206670431*b245 =L= 0;

e38..    x122 + 3.71357206670431*b244 =L= 3.71357206670431;

e39..    x123 + 3.71357206670431*b245 =L= 3.71357206670431;

e40.. (x124/(1e-6 + b246) - 1.2*log(1 + x116/(1e-6 + b246)))*(1e-6 + b246)
       =L= 0;

e41.. (x125/(1e-6 + b247) - 1.2*log(1 + x117/(1e-6 + b247)))*(1e-6 + b247)
       =L= 0;

e42..    x118 =E= 0;

e43..    x119 =E= 0;

e44..    x126 =E= 0;

e45..    x127 =E= 0;

e46..    x36 - x116 - x118 =E= 0;

e47..    x37 - x117 - x119 =E= 0;

e48..    x40 - x124 - x126 =E= 0;

e49..    x41 - x125 - x127 =E= 0;

e50..    x116 - 40*b246 =L= 0;

e51..    x117 - 40*b247 =L= 0;

e52..    x118 + 40*b246 =L= 40;

e53..    x119 + 40*b247 =L= 40;

e54..    x124 - 4.45628648004517*b246 =L= 0;

e55..    x125 - 4.45628648004517*b247 =L= 0;

e56..    x126 + 4.45628648004517*b246 =L= 4.45628648004517;

e57..    x127 + 4.45628648004517*b247 =L= 4.45628648004517;

e58..  - 0.75*x128 + x144 =E= 0;

e59..  - 0.75*x129 + x145 =E= 0;

e60..    x130 =E= 0;

e61..    x131 =E= 0;

e62..    x146 =E= 0;

e63..    x147 =E= 0;

e64..    x48 - x128 - x130 =E= 0;

e65..    x49 - x129 - x131 =E= 0;

e66..    x56 - x144 - x146 =E= 0;

e67..    x57 - x145 - x147 =E= 0;

e68..    x128 - 4.45628648004517*b248 =L= 0;

e69..    x129 - 4.45628648004517*b249 =L= 0;

e70..    x130 + 4.45628648004517*b248 =L= 4.45628648004517;

e71..    x131 + 4.45628648004517*b249 =L= 4.45628648004517;

e72..    x144 - 3.34221486003388*b248 =L= 0;

e73..    x145 - 3.34221486003388*b249 =L= 0;

e74..    x146 + 3.34221486003388*b248 =L= 3.34221486003388;

e75..    x147 + 3.34221486003388*b249 =L= 3.34221486003388;

e76.. (x148/(1e-6 + b250) - 1.5*log(1 + x132/(1e-6 + b250)))*(1e-6 + b250)
       =L= 0;

e77.. (x149/(1e-6 + b251) - 1.5*log(1 + x133/(1e-6 + b251)))*(1e-6 + b251)
       =L= 0;

e78..    x134 =E= 0;

e79..    x135 =E= 0;

e80..    x152 =E= 0;

e81..    x153 =E= 0;

e82..    x50 - x132 - x134 =E= 0;

e83..    x51 - x133 - x135 =E= 0;

e84..    x58 - x148 - x152 =E= 0;

e85..    x59 - x149 - x153 =E= 0;

e86..    x132 - 4.45628648004517*b250 =L= 0;

e87..    x133 - 4.45628648004517*b251 =L= 0;

e88..    x134 + 4.45628648004517*b250 =L= 4.45628648004517;

e89..    x135 + 4.45628648004517*b251 =L= 4.45628648004517;

e90..    x148 - 2.54515263975353*b250 =L= 0;

e91..    x149 - 2.54515263975353*b251 =L= 0;

e92..    x152 + 2.54515263975353*b250 =L= 2.54515263975353;

e93..    x153 + 2.54515263975353*b251 =L= 2.54515263975353;

e94..  - x136 + x156 =E= 0;

e95..  - x137 + x157 =E= 0;

e96..  - 0.5*x140 + x156 =E= 0;

e97..  - 0.5*x141 + x157 =E= 0;

e98..    x138 =E= 0;

e99..    x139 =E= 0;

e100..    x142 =E= 0;

e101..    x143 =E= 0;

e102..    x158 =E= 0;

e103..    x159 =E= 0;

e104..    x52 - x136 - x138 =E= 0;

e105..    x53 - x137 - x139 =E= 0;

e106..    x54 - x140 - x142 =E= 0;

e107..    x55 - x141 - x143 =E= 0;

e108..    x60 - x156 - x158 =E= 0;

e109..    x61 - x157 - x159 =E= 0;

e110..    x136 - 4.45628648004517*b252 =L= 0;

e111..    x137 - 4.45628648004517*b253 =L= 0;

e112..    x138 + 4.45628648004517*b252 =L= 4.45628648004517;

e113..    x139 + 4.45628648004517*b253 =L= 4.45628648004517;

e114..    x140 - 30*b252 =L= 0;

e115..    x141 - 30*b253 =L= 0;

e116..    x142 + 30*b252 =L= 30;

e117..    x143 + 30*b253 =L= 30;

e118..    x156 - 15*b252 =L= 0;

e119..    x157 - 15*b253 =L= 0;

e120..    x158 + 15*b252 =L= 15;

e121..    x159 + 15*b253 =L= 15;

e122.. (x180/(1e-6 + b254) - 1.25*log(1 + x160/(1e-6 + b254)))*(1e-6 + b254)
        =L= 0;

e123.. (x181/(1e-6 + b255) - 1.25*log(1 + x161/(1e-6 + b255)))*(1e-6 + b255)
        =L= 0;

e124..    x162 =E= 0;

e125..    x163 =E= 0;

e126..    x184 =E= 0;

e127..    x185 =E= 0;

e128..    x62 - x160 - x162 =E= 0;

e129..    x63 - x161 - x163 =E= 0;

e130..    x72 - x180 - x184 =E= 0;

e131..    x73 - x181 - x185 =E= 0;

e132..    x160 - 3.34221486003388*b254 =L= 0;

e133..    x161 - 3.34221486003388*b255 =L= 0;

e134..    x162 + 3.34221486003388*b254 =L= 3.34221486003388;

e135..    x163 + 3.34221486003388*b255 =L= 3.34221486003388;

e136..    x180 - 1.83548069293539*b254 =L= 0;

e137..    x181 - 1.83548069293539*b255 =L= 0;

e138..    x184 + 1.83548069293539*b254 =L= 1.83548069293539;

e139..    x185 + 1.83548069293539*b255 =L= 1.83548069293539;

e140.. (x188/(1e-6 + b256) - 0.9*log(1 + x164/(1e-6 + b256)))*(1e-6 + b256)
        =L= 0;

e141.. (x189/(1e-6 + b257) - 0.9*log(1 + x165/(1e-6 + b257)))*(1e-6 + b257)
        =L= 0;

e142..    x166 =E= 0;

e143..    x167 =E= 0;

e144..    x192 =E= 0;

e145..    x193 =E= 0;

e146..    x64 - x164 - x166 =E= 0;

e147..    x65 - x165 - x167 =E= 0;

e148..    x74 - x188 - x192 =E= 0;

e149..    x75 - x189 - x193 =E= 0;

e150..    x164 - 3.34221486003388*b256 =L= 0;

e151..    x165 - 3.34221486003388*b257 =L= 0;

e152..    x166 + 3.34221486003388*b256 =L= 3.34221486003388;

e153..    x167 + 3.34221486003388*b257 =L= 3.34221486003388;

e154..    x188 - 1.32154609891348*b256 =L= 0;

e155..    x189 - 1.32154609891348*b257 =L= 0;

e156..    x192 + 1.32154609891348*b256 =L= 1.32154609891348;

e157..    x193 + 1.32154609891348*b257 =L= 1.32154609891348;

e158.. (x196/(1e-6 + b258) - log(1 + x150/(1e-6 + b258)))*(1e-6 + b258) =L= 0;

e159.. (x197/(1e-6 + b259) - log(1 + x151/(1e-6 + b259)))*(1e-6 + b259) =L= 0;

e160..    x154 =E= 0;

e161..    x155 =E= 0;

e162..    x198 =E= 0;

e163..    x199 =E= 0;

e164..    x58 - x150 - x154 =E= 0;

e165..    x59 - x151 - x155 =E= 0;

e166..    x76 - x196 - x198 =E= 0;

e167..    x77 - x197 - x199 =E= 0;

e168..    x150 - 2.54515263975353*b258 =L= 0;

e169..    x151 - 2.54515263975353*b259 =L= 0;

e170..    x154 + 2.54515263975353*b258 =L= 2.54515263975353;

e171..    x155 + 2.54515263975353*b259 =L= 2.54515263975353;

e172..    x196 - 1.26558121681553*b258 =L= 0;

e173..    x197 - 1.26558121681553*b259 =L= 0;

e174..    x198 + 1.26558121681553*b258 =L= 1.26558121681553;

e175..    x199 + 1.26558121681553*b259 =L= 1.26558121681553;

e176..  - 0.9*x168 + x200 =E= 0;

e177..  - 0.9*x169 + x201 =E= 0;

e178..    x170 =E= 0;

e179..    x171 =E= 0;

e180..    x202 =E= 0;

e181..    x203 =E= 0;

e182..    x66 - x168 - x170 =E= 0;

e183..    x67 - x169 - x171 =E= 0;

e184..    x78 - x200 - x202 =E= 0;

e185..    x79 - x201 - x203 =E= 0;

e186..    x168 - 15*b260 =L= 0;

e187..    x169 - 15*b261 =L= 0;

e188..    x170 + 15*b260 =L= 15;

e189..    x171 + 15*b261 =L= 15;

e190..    x200 - 13.5*b260 =L= 0;

e191..    x201 - 13.5*b261 =L= 0;

e192..    x202 + 13.5*b260 =L= 13.5;

e193..    x203 + 13.5*b261 =L= 13.5;

e194..  - 0.6*x172 + x204 =E= 0;

e195..  - 0.6*x173 + x205 =E= 0;

e196..    x174 =E= 0;

e197..    x175 =E= 0;

e198..    x206 =E= 0;

e199..    x207 =E= 0;

e200..    x68 - x172 - x174 =E= 0;

e201..    x69 - x173 - x175 =E= 0;

e202..    x80 - x204 - x206 =E= 0;

e203..    x81 - x205 - x207 =E= 0;

e204..    x172 - 15*b262 =L= 0;

e205..    x173 - 15*b263 =L= 0;

e206..    x174 + 15*b262 =L= 15;

e207..    x175 + 15*b263 =L= 15;

e208..    x204 - 9*b262 =L= 0;

e209..    x205 - 9*b263 =L= 0;

e210..    x206 + 9*b262 =L= 9;

e211..    x207 + 9*b263 =L= 9;

e212.. (x208/(1e-6 + b264) - 1.1*log(1 + x176/(1e-6 + b264)))*(1e-6 + b264)
        =L= 0;

e213.. (x209/(1e-6 + b265) - 1.1*log(1 + x177/(1e-6 + b265)))*(1e-6 + b265)
        =L= 0;

e214..    x178 =E= 0;

e215..    x179 =E= 0;

e216..    x210 =E= 0;

e217..    x211 =E= 0;

e218..    x70 - x176 - x178 =E= 0;

e219..    x71 - x177 - x179 =E= 0;

e220..    x82 - x208 - x210 =E= 0;

e221..    x83 - x209 - x211 =E= 0;

e222..    x176 - 15*b264 =L= 0;

e223..    x177 - 15*b265 =L= 0;

e224..    x178 + 15*b264 =L= 15;

e225..    x179 + 15*b265 =L= 15;

e226..    x208 - 3.04984759446376*b264 =L= 0;

e227..    x209 - 3.04984759446376*b265 =L= 0;

e228..    x210 + 3.04984759446376*b264 =L= 3.04984759446376;

e229..    x211 + 3.04984759446376*b265 =L= 3.04984759446376;

e230..  - 0.9*x182 + x228 =E= 0;

e231..  - 0.9*x183 + x229 =E= 0;

e232..  - x220 + x228 =E= 0;

e233..  - x221 + x229 =E= 0;

e234..    x186 =E= 0;

e235..    x187 =E= 0;

e236..    x222 =E= 0;

e237..    x223 =E= 0;

e238..    x230 =E= 0;

e239..    x231 =E= 0;

e240..    x72 - x182 - x186 =E= 0;

e241..    x73 - x183 - x187 =E= 0;

e242..    x88 - x220 - x222 =E= 0;

e243..    x89 - x221 - x223 =E= 0;

e244..    x104 - x228 - x230 =E= 0;

e245..    x105 - x229 - x231 =E= 0;

e246..    x182 - 1.83548069293539*b266 =L= 0;

e247..    x183 - 1.83548069293539*b267 =L= 0;

e248..    x186 + 1.83548069293539*b266 =L= 1.83548069293539;

e249..    x187 + 1.83548069293539*b267 =L= 1.83548069293539;

e250..    x220 - 20*b266 =L= 0;

e251..    x221 - 20*b267 =L= 0;

e252..    x222 + 20*b266 =L= 20;

e253..    x223 + 20*b267 =L= 20;

e254..    x228 - 20*b266 =L= 0;

e255..    x229 - 20*b267 =L= 0;

e256..    x230 + 20*b266 =L= 20;

e257..    x231 + 20*b267 =L= 20;

e258.. (x232/(1e-6 + b268) - log(1 + x190/(1e-6 + b268)))*(1e-6 + b268) =L= 0;

e259.. (x233/(1e-6 + b269) - log(1 + x191/(1e-6 + b269)))*(1e-6 + b269) =L= 0;

e260..    x194 =E= 0;

e261..    x195 =E= 0;

e262..    x234 =E= 0;

e263..    x235 =E= 0;

e264..    x74 - x190 - x194 =E= 0;

e265..    x75 - x191 - x195 =E= 0;

e266..    x106 - x232 - x234 =E= 0;

e267..    x107 - x233 - x235 =E= 0;

e268..    x190 - 1.32154609891348*b268 =L= 0;

e269..    x191 - 1.32154609891348*b269 =L= 0;

e270..    x194 + 1.32154609891348*b268 =L= 1.32154609891348;

e271..    x195 + 1.32154609891348*b269 =L= 1.32154609891348;

e272..    x232 - 0.842233385663186*b268 =L= 0;

e273..    x233 - 0.842233385663186*b269 =L= 0;

e274..    x234 + 0.842233385663186*b268 =L= 0.842233385663186;

e275..    x235 + 0.842233385663186*b269 =L= 0.842233385663186;

e276.. (x236/(1e-6 + b270) - 0.7*log(1 + x212/(1e-6 + b270)))*(1e-6 + b270)
        =L= 0;

e277.. (x237/(1e-6 + b271) - 0.7*log(1 + x213/(1e-6 + b271)))*(1e-6 + b271)
        =L= 0;

e278..    x214 =E= 0;

e279..    x215 =E= 0;

e280..    x238 =E= 0;

e281..    x239 =E= 0;

e282..    x84 - x212 - x214 =E= 0;

e283..    x85 - x213 - x215 =E= 0;

e284..    x108 - x236 - x238 =E= 0;

e285..    x109 - x237 - x239 =E= 0;

e286..    x212 - 1.26558121681553*b270 =L= 0;

e287..    x213 - 1.26558121681553*b271 =L= 0;

e288..    x214 + 1.26558121681553*b270 =L= 1.26558121681553;

e289..    x215 + 1.26558121681553*b271 =L= 1.26558121681553;

e290..    x236 - 0.572481933717686*b270 =L= 0;

e291..    x237 - 0.572481933717686*b271 =L= 0;

e292..    x238 + 0.572481933717686*b270 =L= 0.572481933717686;

e293..    x239 + 0.572481933717686*b271 =L= 0.572481933717686;

e294.. (x240/(1e-6 + b272) - 0.65*log(1 + x216/(1e-6 + b272)))*(1e-6 + b272)
        =L= 0;

e295.. (x241/(1e-6 + b273) - 0.65*log(1 + x217/(1e-6 + b273)))*(1e-6 + b273)
        =L= 0;

e296.. (x240/(1e-6 + b272) - 0.65*log(1 + x224/(1e-6 + b272)))*(1e-6 + b272)
        =L= 0;

e297.. (x241/(1e-6 + b273) - 0.65*log(1 + x225/(1e-6 + b273)))*(1e-6 + b273)
        =L= 0;

e298..    x218 =E= 0;

e299..    x219 =E= 0;

e300..    x226 =E= 0;

e301..    x227 =E= 0;

e302..    x242 =E= 0;

e303..    x243 =E= 0;

e304..    x86 - x216 - x218 =E= 0;

e305..    x87 - x217 - x219 =E= 0;

e306..    x92 - x224 - x226 =E= 0;

e307..    x93 - x225 - x227 =E= 0;

e308..    x110 - x240 - x242 =E= 0;

e309..    x111 - x241 - x243 =E= 0;

e310..    x216 - 1.26558121681553*b272 =L= 0;

e311..    x217 - 1.26558121681553*b273 =L= 0;

e312..    x218 + 1.26558121681553*b272 =L= 1.26558121681553;

e313..    x219 + 1.26558121681553*b273 =L= 1.26558121681553;

e314..    x224 - 33.5*b272 =L= 0;

e315..    x225 - 33.5*b273 =L= 0;

e316..    x226 + 33.5*b272 =L= 33.5;

e317..    x227 + 33.5*b273 =L= 33.5;

e318..    x240 - 2.30162356062425*b272 =L= 0;

e319..    x241 - 2.30162356062425*b273 =L= 0;

e320..    x242 + 2.30162356062425*b272 =L= 2.30162356062425;

e321..    x243 + 2.30162356062425*b273 =L= 2.30162356062425;

e322..    x2 + 5*b274 =E= 0;

e323..    x3 + 4*b275 =E= 0;

e324..    x4 + 8*b276 =E= 0;

e325..    x5 + 7*b277 =E= 0;

e326..    x6 + 6*b278 =E= 0;

e327..    x7 + 9*b279 =E= 0;

e328..    x8 + 10*b280 =E= 0;

e329..    x9 + 9*b281 =E= 0;

e330..    x10 + 6*b282 =E= 0;

e331..    x11 + 10*b283 =E= 0;

e332..    x12 + 7*b284 =E= 0;

e333..    x13 + 7*b285 =E= 0;

e334..    x14 + 4*b286 =E= 0;

e335..    x15 + 3*b287 =E= 0;

e336..    x16 + 5*b288 =E= 0;

e337..    x17 + 6*b289 =E= 0;

e338..    x18 + 2*b290 =E= 0;

e339..    x19 + 5*b291 =E= 0;

e340..    x20 + 4*b292 =E= 0;

e341..    x21 + 7*b293 =E= 0;

e342..    x22 + 3*b294 =E= 0;

e343..    x23 + 9*b295 =E= 0;

e344..    x24 + 7*b296 =E= 0;

e345..    x25 + 2*b297 =E= 0;

e346..    x26 + 3*b298 =E= 0;

e347..    x27 + b299 =E= 0;

e348..    x28 + 2*b300 =E= 0;

e349..    x29 + 6*b301 =E= 0;

e350..    x30 + 4*b302 =E= 0;

e351..    x31 + 8*b303 =E= 0;

e352..    b244 - b245 =L= 0;

e353..    b246 - b247 =L= 0;

e354..    b248 - b249 =L= 0;

e355..    b250 - b251 =L= 0;

e356..    b252 - b253 =L= 0;

e357..    b254 - b255 =L= 0;

e358..    b256 - b257 =L= 0;

e359..    b258 - b259 =L= 0;

e360..    b260 - b261 =L= 0;

e361..    b262 - b263 =L= 0;

e362..    b264 - b265 =L= 0;

e363..    b266 - b267 =L= 0;

e364..    b268 - b269 =L= 0;

e365..    b270 - b271 =L= 0;

e366..    b272 - b273 =L= 0;

e367..    b274 + b275 =L= 1;

e368..    b274 + b275 =L= 1;

e369..    b276 + b277 =L= 1;

e370..    b276 + b277 =L= 1;

e371..    b278 + b279 =L= 1;

e372..    b278 + b279 =L= 1;

e373..    b280 + b281 =L= 1;

e374..    b280 + b281 =L= 1;

e375..    b282 + b283 =L= 1;

e376..    b282 + b283 =L= 1;

e377..    b284 + b285 =L= 1;

e378..    b284 + b285 =L= 1;

e379..    b286 + b287 =L= 1;

e380..    b286 + b287 =L= 1;

e381..    b288 + b289 =L= 1;

e382..    b288 + b289 =L= 1;

e383..    b290 + b291 =L= 1;

e384..    b290 + b291 =L= 1;

e385..    b292 + b293 =L= 1;

e386..    b292 + b293 =L= 1;

e387..    b294 + b295 =L= 1;

e388..    b294 + b295 =L= 1;

e389..    b296 + b297 =L= 1;

e390..    b296 + b297 =L= 1;

e391..    b298 + b299 =L= 1;

e392..    b298 + b299 =L= 1;

e393..    b300 + b301 =L= 1;

e394..    b300 + b301 =L= 1;

e395..    b302 + b303 =L= 1;

e396..    b302 + b303 =L= 1;

e397..    b244 - b274 =L= 0;

e398..  - b244 + b245 - b275 =L= 0;

e399..    b246 - b276 =L= 0;

e400..  - b246 + b247 - b277 =L= 0;

e401..    b248 - b278 =L= 0;

e402..  - b248 + b249 - b279 =L= 0;

e403..    b250 - b280 =L= 0;

e404..  - b250 + b251 - b281 =L= 0;

e405..    b252 - b282 =L= 0;

e406..  - b252 + b253 - b283 =L= 0;

e407..    b254 - b284 =L= 0;

e408..  - b254 + b255 - b285 =L= 0;

e409..    b256 - b286 =L= 0;

e410..  - b256 + b257 - b287 =L= 0;

e411..    b258 - b288 =L= 0;

e412..  - b258 + b259 - b289 =L= 0;

e413..    b260 - b290 =L= 0;

e414..  - b260 + b261 - b291 =L= 0;

e415..    b262 - b292 =L= 0;

e416..  - b262 + b263 - b293 =L= 0;

e417..    b264 - b294 =L= 0;

e418..  - b264 + b265 - b295 =L= 0;

e419..    b266 - b296 =L= 0;

e420..  - b266 + b267 - b297 =L= 0;

e421..    b268 - b298 =L= 0;

e422..  - b268 + b269 - b299 =L= 0;

e423..    b270 - b300 =L= 0;

e424..  - b270 + b271 - b301 =L= 0;

e425..    b272 - b302 =L= 0;

e426..  - b272 + b273 - b303 =L= 0;

e427..    b244 + b246 =E= 1;

e428..    b245 + b247 =E= 1;

e429..  - b248 + b254 + b256 =G= 0;

e430..  - b249 + b255 + b257 =G= 0;

e431..  - b254 + b266 =G= 0;

e432..  - b255 + b267 =G= 0;

e433..  - b256 + b268 =G= 0;

e434..  - b257 + b269 =G= 0;

e435..  - b250 + b258 =G= 0;

e436..  - b251 + b259 =G= 0;

e437..  - b258 + b270 + b272 =G= 0;

e438..  - b259 + b271 + b273 =G= 0;

e439..  - b252 + b260 + b262 + b264 =G= 0;

e440..  - b253 + b261 + b263 + b265 =G= 0;

e441..  - b260 + b272 =G= 0;

e442..  - b261 + b273 =G= 0;

e443..    b244 + b246 - b248 =G= 0;

e444..    b245 + b247 - b249 =G= 0;

e445..    b244 + b246 - b250 =G= 0;

e446..    b245 + b247 - b251 =G= 0;

e447..    b244 + b246 - b252 =G= 0;

e448..    b245 + b247 - b253 =G= 0;

e449..    b248 - b254 =G= 0;

e450..    b249 - b255 =G= 0;

e451..    b248 - b256 =G= 0;

e452..    b249 - b257 =G= 0;

e453..    b250 - b258 =G= 0;

e454..    b251 - b259 =G= 0;

e455..    b252 - b260 =G= 0;

e456..    b253 - b261 =G= 0;

e457..    b252 - b262 =G= 0;

e458..    b253 - b263 =G= 0;

e459..    b252 - b264 =G= 0;

e460..    b253 - b265 =G= 0;

e461..    b254 - b266 =G= 0;

e462..    b255 - b267 =G= 0;

e463..    b256 - b268 =G= 0;

e464..    b257 - b269 =G= 0;

e465..    b258 - b270 =G= 0;

e466..    b259 - b271 =G= 0;

e467..    b258 - b272 =G= 0;

e468..    b259 - b273 =G= 0;

* set non-default bounds
x32.up = 40;
x33.up = 40;
x54.up = 30;
x55.up = 30;
x88.up = 20;
x89.up = 20;
x90.up = 20;
x91.up = 20;

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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