MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: syn10m04h

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)
4557.06302900 p1 ( gdx sol )
(infeas: 4e-16)
Other points (infeas > 1e-08)  
Dual Bounds
4557.06954700 (ALPHAECP)
6189.58777400 (ANTIGONE)
4557.06303800 (BARON)
4557.06303000 (BONMIN)
4557.06342200 (COUENNE)
4557.06302900 (LINDO)
4557.06349200 (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 Syn10M04H.gms from CMU-IBM MINLP solver project page
Application Synthesis of processing system
Added to library 28 Sep 2013
Problem type MBNLP
#Variables 388
#Binary Variables 80
#Integer Variables 0
#Nonlinear Variables 72
#Nonlinear Binary Variables 24
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 76
#Nonlinear Nonzeros in Objective 0
#Constraints 708
#Linear Constraints 684
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 24
Operands in Gen. Nonlin. Functions mul div log
Constraints curvature convex
#Nonzeros in Jacobian 1548
#Nonlinear Nonzeros in Jacobian 72
#Nonzeros in (Upper-Left) Hessian of Lagrangian 144
#Nonzeros in Diagonal of Hessian of Lagrangian 48
#Blocks in Hessian of Lagrangian 24
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
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
*        709      257       40      412        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        389      309       80        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1625     1553       72        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,x264,x265,x266,x267,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,x305,x306,x307,x308,x309,b310
          ,b311,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322,b323
          ,b324,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335,b336
          ,b337,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348,b349
          ,b350,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361,b362
          ,b363,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374,b375
          ,b376,b377,b378,b379,b380,b381,b382,b383,b384,b385,b386,b387,b388
          ,b389;

Positive Variables  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,x264,x265,x266,x267,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,x305,x306,x307,x308,x309;

Binary Variables  b310,b311,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321
          ,b322,b323,b324,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334
          ,b335,b336,b337,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347
          ,b348,b349,b350,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360
          ,b361,b362,b363,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373
          ,b374,b375,b376,b377,b378,b379,b380,b381,b382,b383,b384,b385,b386
          ,b387,b388,b389;

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,e488,e489,e490,e491,e492,e493
          ,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
          ,e507,e508,e509,e510,e511,e512,e513,e514,e515,e516,e517,e518,e519
          ,e520,e521,e522,e523,e524,e525,e526,e527,e528,e529,e530,e531,e532
          ,e533,e534,e535,e536,e537,e538,e539,e540,e541,e542,e543,e544,e545
          ,e546,e547,e548,e549,e550,e551,e552,e553,e554,e555,e556,e557,e558
          ,e559,e560,e561,e562,e563,e564,e565,e566,e567,e568,e569,e570,e571
          ,e572,e573,e574,e575,e576,e577,e578,e579,e580,e581,e582,e583,e584
          ,e585,e586,e587,e588,e589,e590,e591,e592,e593,e594,e595,e596,e597
          ,e598,e599,e600,e601,e602,e603,e604,e605,e606,e607,e608,e609,e610
          ,e611,e612,e613,e614,e615,e616,e617,e618,e619,e620,e621,e622,e623
          ,e624,e625,e626,e627,e628,e629,e630,e631,e632,e633,e634,e635,e636
          ,e637,e638,e639,e640,e641,e642,e643,e644,e645,e646,e647,e648,e649
          ,e650,e651,e652,e653,e654,e655,e656,e657,e658,e659,e660,e661,e662
          ,e663,e664,e665,e666,e667,e668,e669,e670,e671,e672,e673,e674,e675
          ,e676,e677,e678,e679,e680,e681,e682,e683,e684,e685,e686,e687,e688
          ,e689,e690,e691,e692,e693,e694,e695,e696,e697,e698,e699,e700,e701
          ,e702,e703,e704,e705,e706,e707,e708,e709;


e1..    objvar + x42 + x43 + x44 + x45 - 5*x66 - 10*x67 - 5*x68 - 10*x69
      + 2*x86 + x87 + 2*x88 + x89 - 80*x118 - 90*x119 - 120*x120 - 100*x121
      - 285*x122 - 390*x123 - 350*x124 - 300*x125 - 290*x126 - 405*x127
      - 190*x128 - 340*x129 - 280*x130 - 400*x131 - 430*x132 - 260*x133
      - 290*x134 - 300*x135 - 240*x136 - 310*x137 - 350*x138 - 250*x139
      - 300*x140 - 400*x141 + 5*b350 + 4*b351 + 6*b352 + 3*b353 + 8*b354
      + 7*b355 + 6*b356 + 5*b357 + 6*b358 + 9*b359 + 4*b360 + 3*b361 + 10*b362
      + 9*b363 + 5*b364 + 6*b365 + 6*b366 + 10*b367 + 6*b368 + 9*b369 + 7*b370
      + 7*b371 + 4*b372 + 2*b373 + 4*b374 + 3*b375 + 2*b376 + 8*b377 + 5*b378
      + 6*b379 + 7*b380 + 4*b381 + 2*b382 + 5*b383 + 2*b384 + 6*b385 + 4*b386
      + 7*b387 + 4*b388 + 7*b389 =E= 0;

e2..    x42 - x46 - x50 =E= 0;

e3..    x43 - x47 - x51 =E= 0;

e4..    x44 - x48 - x52 =E= 0;

e5..    x45 - x49 - x53 =E= 0;

e6..  - x54 - x58 + x62 =E= 0;

e7..  - x55 - x59 + x63 =E= 0;

e8..  - x56 - x60 + x64 =E= 0;

e9..  - x57 - x61 + x65 =E= 0;

e10..    x62 - x66 - x70 =E= 0;

e11..    x63 - x67 - x71 =E= 0;

e12..    x64 - x68 - x72 =E= 0;

e13..    x65 - x69 - x73 =E= 0;

e14..    x70 - x74 - x78 - x82 =E= 0;

e15..    x71 - x75 - x79 - x83 =E= 0;

e16..    x72 - x76 - x80 - x84 =E= 0;

e17..    x73 - x77 - x81 - x85 =E= 0;

e18..    x90 - x102 - x106 =E= 0;

e19..    x91 - x103 - x107 =E= 0;

e20..    x92 - x104 - x108 =E= 0;

e21..    x93 - x105 - x109 =E= 0;

e22..    x98 - x110 - x114 - x118 =E= 0;

e23..    x99 - x111 - x115 - x119 =E= 0;

e24..    x100 - x112 - x116 - x120 =E= 0;

e25..    x101 - x113 - x117 - x121 =E= 0;

e26.. (x158/(1e-6 + b310) - log(1 + x142/(1e-6 + b310)))*(1e-6 + b310) =L= 0;

e27.. (x159/(1e-6 + b311) - log(1 + x143/(1e-6 + b311)))*(1e-6 + b311) =L= 0;

e28.. (x160/(1e-6 + b312) - log(1 + x144/(1e-6 + b312)))*(1e-6 + b312) =L= 0;

e29.. (x161/(1e-6 + b313) - log(1 + x145/(1e-6 + b313)))*(1e-6 + b313) =L= 0;

e30..    x146 =E= 0;

e31..    x147 =E= 0;

e32..    x148 =E= 0;

e33..    x149 =E= 0;

e34..    x162 =E= 0;

e35..    x163 =E= 0;

e36..    x164 =E= 0;

e37..    x165 =E= 0;

e38..    x46 - x142 - x146 =E= 0;

e39..    x47 - x143 - x147 =E= 0;

e40..    x48 - x144 - x148 =E= 0;

e41..    x49 - x145 - x149 =E= 0;

e42..    x54 - x158 - x162 =E= 0;

e43..    x55 - x159 - x163 =E= 0;

e44..    x56 - x160 - x164 =E= 0;

e45..    x57 - x161 - x165 =E= 0;

e46..    x142 - 40*b310 =L= 0;

e47..    x143 - 40*b311 =L= 0;

e48..    x144 - 40*b312 =L= 0;

e49..    x145 - 40*b313 =L= 0;

e50..    x146 + 40*b310 =L= 40;

e51..    x147 + 40*b311 =L= 40;

e52..    x148 + 40*b312 =L= 40;

e53..    x149 + 40*b313 =L= 40;

e54..    x158 - 3.71357206670431*b310 =L= 0;

e55..    x159 - 3.71357206670431*b311 =L= 0;

e56..    x160 - 3.71357206670431*b312 =L= 0;

e57..    x161 - 3.71357206670431*b313 =L= 0;

e58..    x162 + 3.71357206670431*b310 =L= 3.71357206670431;

e59..    x163 + 3.71357206670431*b311 =L= 3.71357206670431;

e60..    x164 + 3.71357206670431*b312 =L= 3.71357206670431;

e61..    x165 + 3.71357206670431*b313 =L= 3.71357206670431;

e62.. (x166/(1e-6 + b314) - 1.2*log(1 + x150/(1e-6 + b314)))*(1e-6 + b314)
       =L= 0;

e63.. (x167/(1e-6 + b315) - 1.2*log(1 + x151/(1e-6 + b315)))*(1e-6 + b315)
       =L= 0;

e64.. (x168/(1e-6 + b316) - 1.2*log(1 + x152/(1e-6 + b316)))*(1e-6 + b316)
       =L= 0;

e65.. (x169/(1e-6 + b317) - 1.2*log(1 + x153/(1e-6 + b317)))*(1e-6 + b317)
       =L= 0;

e66..    x154 =E= 0;

e67..    x155 =E= 0;

e68..    x156 =E= 0;

e69..    x157 =E= 0;

e70..    x170 =E= 0;

e71..    x171 =E= 0;

e72..    x172 =E= 0;

e73..    x173 =E= 0;

e74..    x50 - x150 - x154 =E= 0;

e75..    x51 - x151 - x155 =E= 0;

e76..    x52 - x152 - x156 =E= 0;

e77..    x53 - x153 - x157 =E= 0;

e78..    x58 - x166 - x170 =E= 0;

e79..    x59 - x167 - x171 =E= 0;

e80..    x60 - x168 - x172 =E= 0;

e81..    x61 - x169 - x173 =E= 0;

e82..    x150 - 40*b314 =L= 0;

e83..    x151 - 40*b315 =L= 0;

e84..    x152 - 40*b316 =L= 0;

e85..    x153 - 40*b317 =L= 0;

e86..    x154 + 40*b314 =L= 40;

e87..    x155 + 40*b315 =L= 40;

e88..    x156 + 40*b316 =L= 40;

e89..    x157 + 40*b317 =L= 40;

e90..    x166 - 4.45628648004517*b314 =L= 0;

e91..    x167 - 4.45628648004517*b315 =L= 0;

e92..    x168 - 4.45628648004517*b316 =L= 0;

e93..    x169 - 4.45628648004517*b317 =L= 0;

e94..    x170 + 4.45628648004517*b314 =L= 4.45628648004517;

e95..    x171 + 4.45628648004517*b315 =L= 4.45628648004517;

e96..    x172 + 4.45628648004517*b316 =L= 4.45628648004517;

e97..    x173 + 4.45628648004517*b317 =L= 4.45628648004517;

e98..  - 0.75*x174 + x206 =E= 0;

e99..  - 0.75*x175 + x207 =E= 0;

e100..  - 0.75*x176 + x208 =E= 0;

e101..  - 0.75*x177 + x209 =E= 0;

e102..    x178 =E= 0;

e103..    x179 =E= 0;

e104..    x180 =E= 0;

e105..    x181 =E= 0;

e106..    x210 =E= 0;

e107..    x211 =E= 0;

e108..    x212 =E= 0;

e109..    x213 =E= 0;

e110..    x74 - x174 - x178 =E= 0;

e111..    x75 - x175 - x179 =E= 0;

e112..    x76 - x176 - x180 =E= 0;

e113..    x77 - x177 - x181 =E= 0;

e114..    x90 - x206 - x210 =E= 0;

e115..    x91 - x207 - x211 =E= 0;

e116..    x92 - x208 - x212 =E= 0;

e117..    x93 - x209 - x213 =E= 0;

e118..    x174 - 4.45628648004517*b318 =L= 0;

e119..    x175 - 4.45628648004517*b319 =L= 0;

e120..    x176 - 4.45628648004517*b320 =L= 0;

e121..    x177 - 4.45628648004517*b321 =L= 0;

e122..    x178 + 4.45628648004517*b318 =L= 4.45628648004517;

e123..    x179 + 4.45628648004517*b319 =L= 4.45628648004517;

e124..    x180 + 4.45628648004517*b320 =L= 4.45628648004517;

e125..    x181 + 4.45628648004517*b321 =L= 4.45628648004517;

e126..    x206 - 3.34221486003388*b318 =L= 0;

e127..    x207 - 3.34221486003388*b319 =L= 0;

e128..    x208 - 3.34221486003388*b320 =L= 0;

e129..    x209 - 3.34221486003388*b321 =L= 0;

e130..    x210 + 3.34221486003388*b318 =L= 3.34221486003388;

e131..    x211 + 3.34221486003388*b319 =L= 3.34221486003388;

e132..    x212 + 3.34221486003388*b320 =L= 3.34221486003388;

e133..    x213 + 3.34221486003388*b321 =L= 3.34221486003388;

e134.. (x214/(1e-6 + b322) - 1.5*log(1 + x182/(1e-6 + b322)))*(1e-6 + b322)
        =L= 0;

e135.. (x215/(1e-6 + b323) - 1.5*log(1 + x183/(1e-6 + b323)))*(1e-6 + b323)
        =L= 0;

e136.. (x216/(1e-6 + b324) - 1.5*log(1 + x184/(1e-6 + b324)))*(1e-6 + b324)
        =L= 0;

e137.. (x217/(1e-6 + b325) - 1.5*log(1 + x185/(1e-6 + b325)))*(1e-6 + b325)
        =L= 0;

e138..    x186 =E= 0;

e139..    x187 =E= 0;

e140..    x188 =E= 0;

e141..    x189 =E= 0;

e142..    x222 =E= 0;

e143..    x223 =E= 0;

e144..    x224 =E= 0;

e145..    x225 =E= 0;

e146..    x78 - x182 - x186 =E= 0;

e147..    x79 - x183 - x187 =E= 0;

e148..    x80 - x184 - x188 =E= 0;

e149..    x81 - x185 - x189 =E= 0;

e150..    x94 - x214 - x222 =E= 0;

e151..    x95 - x215 - x223 =E= 0;

e152..    x96 - x216 - x224 =E= 0;

e153..    x97 - x217 - x225 =E= 0;

e154..    x182 - 4.45628648004517*b322 =L= 0;

e155..    x183 - 4.45628648004517*b323 =L= 0;

e156..    x184 - 4.45628648004517*b324 =L= 0;

e157..    x185 - 4.45628648004517*b325 =L= 0;

e158..    x186 + 4.45628648004517*b322 =L= 4.45628648004517;

e159..    x187 + 4.45628648004517*b323 =L= 4.45628648004517;

e160..    x188 + 4.45628648004517*b324 =L= 4.45628648004517;

e161..    x189 + 4.45628648004517*b325 =L= 4.45628648004517;

e162..    x214 - 2.54515263975353*b322 =L= 0;

e163..    x215 - 2.54515263975353*b323 =L= 0;

e164..    x216 - 2.54515263975353*b324 =L= 0;

e165..    x217 - 2.54515263975353*b325 =L= 0;

e166..    x222 + 2.54515263975353*b322 =L= 2.54515263975353;

e167..    x223 + 2.54515263975353*b323 =L= 2.54515263975353;

e168..    x224 + 2.54515263975353*b324 =L= 2.54515263975353;

e169..    x225 + 2.54515263975353*b325 =L= 2.54515263975353;

e170..  - x190 + x230 =E= 0;

e171..  - x191 + x231 =E= 0;

e172..  - x192 + x232 =E= 0;

e173..  - x193 + x233 =E= 0;

e174..  - 0.5*x198 + x230 =E= 0;

e175..  - 0.5*x199 + x231 =E= 0;

e176..  - 0.5*x200 + x232 =E= 0;

e177..  - 0.5*x201 + x233 =E= 0;

e178..    x194 =E= 0;

e179..    x195 =E= 0;

e180..    x196 =E= 0;

e181..    x197 =E= 0;

e182..    x202 =E= 0;

e183..    x203 =E= 0;

e184..    x204 =E= 0;

e185..    x205 =E= 0;

e186..    x234 =E= 0;

e187..    x235 =E= 0;

e188..    x236 =E= 0;

e189..    x237 =E= 0;

e190..    x82 - x190 - x194 =E= 0;

e191..    x83 - x191 - x195 =E= 0;

e192..    x84 - x192 - x196 =E= 0;

e193..    x85 - x193 - x197 =E= 0;

e194..    x86 - x198 - x202 =E= 0;

e195..    x87 - x199 - x203 =E= 0;

e196..    x88 - x200 - x204 =E= 0;

e197..    x89 - x201 - x205 =E= 0;

e198..    x98 - x230 - x234 =E= 0;

e199..    x99 - x231 - x235 =E= 0;

e200..    x100 - x232 - x236 =E= 0;

e201..    x101 - x233 - x237 =E= 0;

e202..    x190 - 4.45628648004517*b326 =L= 0;

e203..    x191 - 4.45628648004517*b327 =L= 0;

e204..    x192 - 4.45628648004517*b328 =L= 0;

e205..    x193 - 4.45628648004517*b329 =L= 0;

e206..    x194 + 4.45628648004517*b326 =L= 4.45628648004517;

e207..    x195 + 4.45628648004517*b327 =L= 4.45628648004517;

e208..    x196 + 4.45628648004517*b328 =L= 4.45628648004517;

e209..    x197 + 4.45628648004517*b329 =L= 4.45628648004517;

e210..    x198 - 30*b326 =L= 0;

e211..    x199 - 30*b327 =L= 0;

e212..    x200 - 30*b328 =L= 0;

e213..    x201 - 30*b329 =L= 0;

e214..    x202 + 30*b326 =L= 30;

e215..    x203 + 30*b327 =L= 30;

e216..    x204 + 30*b328 =L= 30;

e217..    x205 + 30*b329 =L= 30;

e218..    x230 - 15*b326 =L= 0;

e219..    x231 - 15*b327 =L= 0;

e220..    x232 - 15*b328 =L= 0;

e221..    x233 - 15*b329 =L= 0;

e222..    x234 + 15*b326 =L= 15;

e223..    x235 + 15*b327 =L= 15;

e224..    x236 + 15*b328 =L= 15;

e225..    x237 + 15*b329 =L= 15;

e226.. (x270/(1e-6 + b330) - 1.25*log(1 + x238/(1e-6 + b330)))*(1e-6 + b330)
        =L= 0;

e227.. (x271/(1e-6 + b331) - 1.25*log(1 + x239/(1e-6 + b331)))*(1e-6 + b331)
        =L= 0;

e228.. (x272/(1e-6 + b332) - 1.25*log(1 + x240/(1e-6 + b332)))*(1e-6 + b332)
        =L= 0;

e229.. (x273/(1e-6 + b333) - 1.25*log(1 + x241/(1e-6 + b333)))*(1e-6 + b333)
        =L= 0;

e230..    x242 =E= 0;

e231..    x243 =E= 0;

e232..    x244 =E= 0;

e233..    x245 =E= 0;

e234..    x274 =E= 0;

e235..    x275 =E= 0;

e236..    x276 =E= 0;

e237..    x277 =E= 0;

e238..    x102 - x238 - x242 =E= 0;

e239..    x103 - x239 - x243 =E= 0;

e240..    x104 - x240 - x244 =E= 0;

e241..    x105 - x241 - x245 =E= 0;

e242..    x122 - x270 - x274 =E= 0;

e243..    x123 - x271 - x275 =E= 0;

e244..    x124 - x272 - x276 =E= 0;

e245..    x125 - x273 - x277 =E= 0;

e246..    x238 - 3.34221486003388*b330 =L= 0;

e247..    x239 - 3.34221486003388*b331 =L= 0;

e248..    x240 - 3.34221486003388*b332 =L= 0;

e249..    x241 - 3.34221486003388*b333 =L= 0;

e250..    x242 + 3.34221486003388*b330 =L= 3.34221486003388;

e251..    x243 + 3.34221486003388*b331 =L= 3.34221486003388;

e252..    x244 + 3.34221486003388*b332 =L= 3.34221486003388;

e253..    x245 + 3.34221486003388*b333 =L= 3.34221486003388;

e254..    x270 - 1.83548069293539*b330 =L= 0;

e255..    x271 - 1.83548069293539*b331 =L= 0;

e256..    x272 - 1.83548069293539*b332 =L= 0;

e257..    x273 - 1.83548069293539*b333 =L= 0;

e258..    x274 + 1.83548069293539*b330 =L= 1.83548069293539;

e259..    x275 + 1.83548069293539*b331 =L= 1.83548069293539;

e260..    x276 + 1.83548069293539*b332 =L= 1.83548069293539;

e261..    x277 + 1.83548069293539*b333 =L= 1.83548069293539;

e262.. (x278/(1e-6 + b334) - 0.9*log(1 + x246/(1e-6 + b334)))*(1e-6 + b334)
        =L= 0;

e263.. (x279/(1e-6 + b335) - 0.9*log(1 + x247/(1e-6 + b335)))*(1e-6 + b335)
        =L= 0;

e264.. (x280/(1e-6 + b336) - 0.9*log(1 + x248/(1e-6 + b336)))*(1e-6 + b336)
        =L= 0;

e265.. (x281/(1e-6 + b337) - 0.9*log(1 + x249/(1e-6 + b337)))*(1e-6 + b337)
        =L= 0;

e266..    x250 =E= 0;

e267..    x251 =E= 0;

e268..    x252 =E= 0;

e269..    x253 =E= 0;

e270..    x282 =E= 0;

e271..    x283 =E= 0;

e272..    x284 =E= 0;

e273..    x285 =E= 0;

e274..    x106 - x246 - x250 =E= 0;

e275..    x107 - x247 - x251 =E= 0;

e276..    x108 - x248 - x252 =E= 0;

e277..    x109 - x249 - x253 =E= 0;

e278..    x126 - x278 - x282 =E= 0;

e279..    x127 - x279 - x283 =E= 0;

e280..    x128 - x280 - x284 =E= 0;

e281..    x129 - x281 - x285 =E= 0;

e282..    x246 - 3.34221486003388*b334 =L= 0;

e283..    x247 - 3.34221486003388*b335 =L= 0;

e284..    x248 - 3.34221486003388*b336 =L= 0;

e285..    x249 - 3.34221486003388*b337 =L= 0;

e286..    x250 + 3.34221486003388*b334 =L= 3.34221486003388;

e287..    x251 + 3.34221486003388*b335 =L= 3.34221486003388;

e288..    x252 + 3.34221486003388*b336 =L= 3.34221486003388;

e289..    x253 + 3.34221486003388*b337 =L= 3.34221486003388;

e290..    x278 - 1.32154609891348*b334 =L= 0;

e291..    x279 - 1.32154609891348*b335 =L= 0;

e292..    x280 - 1.32154609891348*b336 =L= 0;

e293..    x281 - 1.32154609891348*b337 =L= 0;

e294..    x282 + 1.32154609891348*b334 =L= 1.32154609891348;

e295..    x283 + 1.32154609891348*b335 =L= 1.32154609891348;

e296..    x284 + 1.32154609891348*b336 =L= 1.32154609891348;

e297..    x285 + 1.32154609891348*b337 =L= 1.32154609891348;

e298.. (x286/(1e-6 + b338) - log(1 + x218/(1e-6 + b338)))*(1e-6 + b338) =L= 0;

e299.. (x287/(1e-6 + b339) - log(1 + x219/(1e-6 + b339)))*(1e-6 + b339) =L= 0;

e300.. (x288/(1e-6 + b340) - log(1 + x220/(1e-6 + b340)))*(1e-6 + b340) =L= 0;

e301.. (x289/(1e-6 + b341) - log(1 + x221/(1e-6 + b341)))*(1e-6 + b341) =L= 0;

e302..    x226 =E= 0;

e303..    x227 =E= 0;

e304..    x228 =E= 0;

e305..    x229 =E= 0;

e306..    x290 =E= 0;

e307..    x291 =E= 0;

e308..    x292 =E= 0;

e309..    x293 =E= 0;

e310..    x94 - x218 - x226 =E= 0;

e311..    x95 - x219 - x227 =E= 0;

e312..    x96 - x220 - x228 =E= 0;

e313..    x97 - x221 - x229 =E= 0;

e314..    x130 - x286 - x290 =E= 0;

e315..    x131 - x287 - x291 =E= 0;

e316..    x132 - x288 - x292 =E= 0;

e317..    x133 - x289 - x293 =E= 0;

e318..    x218 - 2.54515263975353*b338 =L= 0;

e319..    x219 - 2.54515263975353*b339 =L= 0;

e320..    x220 - 2.54515263975353*b340 =L= 0;

e321..    x221 - 2.54515263975353*b341 =L= 0;

e322..    x226 + 2.54515263975353*b338 =L= 2.54515263975353;

e323..    x227 + 2.54515263975353*b339 =L= 2.54515263975353;

e324..    x228 + 2.54515263975353*b340 =L= 2.54515263975353;

e325..    x229 + 2.54515263975353*b341 =L= 2.54515263975353;

e326..    x286 - 1.26558121681553*b338 =L= 0;

e327..    x287 - 1.26558121681553*b339 =L= 0;

e328..    x288 - 1.26558121681553*b340 =L= 0;

e329..    x289 - 1.26558121681553*b341 =L= 0;

e330..    x290 + 1.26558121681553*b338 =L= 1.26558121681553;

e331..    x291 + 1.26558121681553*b339 =L= 1.26558121681553;

e332..    x292 + 1.26558121681553*b340 =L= 1.26558121681553;

e333..    x293 + 1.26558121681553*b341 =L= 1.26558121681553;

e334..  - 0.9*x254 + x294 =E= 0;

e335..  - 0.9*x255 + x295 =E= 0;

e336..  - 0.9*x256 + x296 =E= 0;

e337..  - 0.9*x257 + x297 =E= 0;

e338..    x258 =E= 0;

e339..    x259 =E= 0;

e340..    x260 =E= 0;

e341..    x261 =E= 0;

e342..    x298 =E= 0;

e343..    x299 =E= 0;

e344..    x300 =E= 0;

e345..    x301 =E= 0;

e346..    x110 - x254 - x258 =E= 0;

e347..    x111 - x255 - x259 =E= 0;

e348..    x112 - x256 - x260 =E= 0;

e349..    x113 - x257 - x261 =E= 0;

e350..    x134 - x294 - x298 =E= 0;

e351..    x135 - x295 - x299 =E= 0;

e352..    x136 - x296 - x300 =E= 0;

e353..    x137 - x297 - x301 =E= 0;

e354..    x254 - 15*b342 =L= 0;

e355..    x255 - 15*b343 =L= 0;

e356..    x256 - 15*b344 =L= 0;

e357..    x257 - 15*b345 =L= 0;

e358..    x258 + 15*b342 =L= 15;

e359..    x259 + 15*b343 =L= 15;

e360..    x260 + 15*b344 =L= 15;

e361..    x261 + 15*b345 =L= 15;

e362..    x294 - 13.5*b342 =L= 0;

e363..    x295 - 13.5*b343 =L= 0;

e364..    x296 - 13.5*b344 =L= 0;

e365..    x297 - 13.5*b345 =L= 0;

e366..    x298 + 13.5*b342 =L= 13.5;

e367..    x299 + 13.5*b343 =L= 13.5;

e368..    x300 + 13.5*b344 =L= 13.5;

e369..    x301 + 13.5*b345 =L= 13.5;

e370..  - 0.6*x262 + x302 =E= 0;

e371..  - 0.6*x263 + x303 =E= 0;

e372..  - 0.6*x264 + x304 =E= 0;

e373..  - 0.6*x265 + x305 =E= 0;

e374..    x266 =E= 0;

e375..    x267 =E= 0;

e376..    x268 =E= 0;

e377..    x269 =E= 0;

e378..    x306 =E= 0;

e379..    x307 =E= 0;

e380..    x308 =E= 0;

e381..    x309 =E= 0;

e382..    x114 - x262 - x266 =E= 0;

e383..    x115 - x263 - x267 =E= 0;

e384..    x116 - x264 - x268 =E= 0;

e385..    x117 - x265 - x269 =E= 0;

e386..    x138 - x302 - x306 =E= 0;

e387..    x139 - x303 - x307 =E= 0;

e388..    x140 - x304 - x308 =E= 0;

e389..    x141 - x305 - x309 =E= 0;

e390..    x262 - 15*b346 =L= 0;

e391..    x263 - 15*b347 =L= 0;

e392..    x264 - 15*b348 =L= 0;

e393..    x265 - 15*b349 =L= 0;

e394..    x266 + 15*b346 =L= 15;

e395..    x267 + 15*b347 =L= 15;

e396..    x268 + 15*b348 =L= 15;

e397..    x269 + 15*b349 =L= 15;

e398..    x302 - 9*b346 =L= 0;

e399..    x303 - 9*b347 =L= 0;

e400..    x304 - 9*b348 =L= 0;

e401..    x305 - 9*b349 =L= 0;

e402..    x306 + 9*b346 =L= 9;

e403..    x307 + 9*b347 =L= 9;

e404..    x308 + 9*b348 =L= 9;

e405..    x309 + 9*b349 =L= 9;

e406..    x2 + 5*b350 =E= 0;

e407..    x3 + 4*b351 =E= 0;

e408..    x4 + 6*b352 =E= 0;

e409..    x5 + 3*b353 =E= 0;

e410..    x6 + 8*b354 =E= 0;

e411..    x7 + 7*b355 =E= 0;

e412..    x8 + 6*b356 =E= 0;

e413..    x9 + 5*b357 =E= 0;

e414..    x10 + 6*b358 =E= 0;

e415..    x11 + 9*b359 =E= 0;

e416..    x12 + 4*b360 =E= 0;

e417..    x13 + 3*b361 =E= 0;

e418..    x14 + 10*b362 =E= 0;

e419..    x15 + 9*b363 =E= 0;

e420..    x16 + 5*b364 =E= 0;

e421..    x17 + 6*b365 =E= 0;

e422..    x18 + 6*b366 =E= 0;

e423..    x19 + 10*b367 =E= 0;

e424..    x20 + 6*b368 =E= 0;

e425..    x21 + 9*b369 =E= 0;

e426..    x22 + 7*b370 =E= 0;

e427..    x23 + 7*b371 =E= 0;

e428..    x24 + 4*b372 =E= 0;

e429..    x25 + 2*b373 =E= 0;

e430..    x26 + 4*b374 =E= 0;

e431..    x27 + 3*b375 =E= 0;

e432..    x28 + 2*b376 =E= 0;

e433..    x29 + 8*b377 =E= 0;

e434..    x30 + 5*b378 =E= 0;

e435..    x31 + 6*b379 =E= 0;

e436..    x32 + 7*b380 =E= 0;

e437..    x33 + 4*b381 =E= 0;

e438..    x34 + 2*b382 =E= 0;

e439..    x35 + 5*b383 =E= 0;

e440..    x36 + 2*b384 =E= 0;

e441..    x37 + 6*b385 =E= 0;

e442..    x38 + 4*b386 =E= 0;

e443..    x39 + 7*b387 =E= 0;

e444..    x40 + 4*b388 =E= 0;

e445..    x41 + 7*b389 =E= 0;

e446..    b310 - b311 =L= 0;

e447..    b310 - b312 =L= 0;

e448..    b310 - b313 =L= 0;

e449..    b311 - b312 =L= 0;

e450..    b311 - b313 =L= 0;

e451..    b312 - b313 =L= 0;

e452..    b314 - b315 =L= 0;

e453..    b314 - b316 =L= 0;

e454..    b314 - b317 =L= 0;

e455..    b315 - b316 =L= 0;

e456..    b315 - b317 =L= 0;

e457..    b316 - b317 =L= 0;

e458..    b318 - b319 =L= 0;

e459..    b318 - b320 =L= 0;

e460..    b318 - b321 =L= 0;

e461..    b319 - b320 =L= 0;

e462..    b319 - b321 =L= 0;

e463..    b320 - b321 =L= 0;

e464..    b322 - b323 =L= 0;

e465..    b322 - b324 =L= 0;

e466..    b322 - b325 =L= 0;

e467..    b323 - b324 =L= 0;

e468..    b323 - b325 =L= 0;

e469..    b324 - b325 =L= 0;

e470..    b326 - b327 =L= 0;

e471..    b326 - b328 =L= 0;

e472..    b326 - b329 =L= 0;

e473..    b327 - b328 =L= 0;

e474..    b327 - b329 =L= 0;

e475..    b328 - b329 =L= 0;

e476..    b330 - b331 =L= 0;

e477..    b330 - b332 =L= 0;

e478..    b330 - b333 =L= 0;

e479..    b331 - b332 =L= 0;

e480..    b331 - b333 =L= 0;

e481..    b332 - b333 =L= 0;

e482..    b334 - b335 =L= 0;

e483..    b334 - b336 =L= 0;

e484..    b334 - b337 =L= 0;

e485..    b335 - b336 =L= 0;

e486..    b335 - b337 =L= 0;

e487..    b336 - b337 =L= 0;

e488..    b338 - b339 =L= 0;

e489..    b338 - b340 =L= 0;

e490..    b338 - b341 =L= 0;

e491..    b339 - b340 =L= 0;

e492..    b339 - b341 =L= 0;

e493..    b340 - b341 =L= 0;

e494..    b342 - b343 =L= 0;

e495..    b342 - b344 =L= 0;

e496..    b342 - b345 =L= 0;

e497..    b343 - b344 =L= 0;

e498..    b343 - b345 =L= 0;

e499..    b344 - b345 =L= 0;

e500..    b346 - b347 =L= 0;

e501..    b346 - b348 =L= 0;

e502..    b346 - b349 =L= 0;

e503..    b347 - b348 =L= 0;

e504..    b347 - b349 =L= 0;

e505..    b348 - b349 =L= 0;

e506..    b350 + b351 =L= 1;

e507..    b350 + b352 =L= 1;

e508..    b350 + b353 =L= 1;

e509..    b350 + b351 =L= 1;

e510..    b351 + b352 =L= 1;

e511..    b351 + b353 =L= 1;

e512..    b350 + b352 =L= 1;

e513..    b351 + b352 =L= 1;

e514..    b352 + b353 =L= 1;

e515..    b350 + b353 =L= 1;

e516..    b351 + b353 =L= 1;

e517..    b352 + b353 =L= 1;

e518..    b354 + b355 =L= 1;

e519..    b354 + b356 =L= 1;

e520..    b354 + b357 =L= 1;

e521..    b354 + b355 =L= 1;

e522..    b355 + b356 =L= 1;

e523..    b355 + b357 =L= 1;

e524..    b354 + b356 =L= 1;

e525..    b355 + b356 =L= 1;

e526..    b356 + b357 =L= 1;

e527..    b354 + b357 =L= 1;

e528..    b355 + b357 =L= 1;

e529..    b356 + b357 =L= 1;

e530..    b358 + b359 =L= 1;

e531..    b358 + b360 =L= 1;

e532..    b358 + b361 =L= 1;

e533..    b358 + b359 =L= 1;

e534..    b359 + b360 =L= 1;

e535..    b359 + b361 =L= 1;

e536..    b358 + b360 =L= 1;

e537..    b359 + b360 =L= 1;

e538..    b360 + b361 =L= 1;

e539..    b358 + b361 =L= 1;

e540..    b359 + b361 =L= 1;

e541..    b360 + b361 =L= 1;

e542..    b362 + b363 =L= 1;

e543..    b362 + b364 =L= 1;

e544..    b362 + b365 =L= 1;

e545..    b362 + b363 =L= 1;

e546..    b363 + b364 =L= 1;

e547..    b363 + b365 =L= 1;

e548..    b362 + b364 =L= 1;

e549..    b363 + b364 =L= 1;

e550..    b364 + b365 =L= 1;

e551..    b362 + b365 =L= 1;

e552..    b363 + b365 =L= 1;

e553..    b364 + b365 =L= 1;

e554..    b366 + b367 =L= 1;

e555..    b366 + b368 =L= 1;

e556..    b366 + b369 =L= 1;

e557..    b366 + b367 =L= 1;

e558..    b367 + b368 =L= 1;

e559..    b367 + b369 =L= 1;

e560..    b366 + b368 =L= 1;

e561..    b367 + b368 =L= 1;

e562..    b368 + b369 =L= 1;

e563..    b366 + b369 =L= 1;

e564..    b367 + b369 =L= 1;

e565..    b368 + b369 =L= 1;

e566..    b370 + b371 =L= 1;

e567..    b370 + b372 =L= 1;

e568..    b370 + b373 =L= 1;

e569..    b370 + b371 =L= 1;

e570..    b371 + b372 =L= 1;

e571..    b371 + b373 =L= 1;

e572..    b370 + b372 =L= 1;

e573..    b371 + b372 =L= 1;

e574..    b372 + b373 =L= 1;

e575..    b370 + b373 =L= 1;

e576..    b371 + b373 =L= 1;

e577..    b372 + b373 =L= 1;

e578..    b374 + b375 =L= 1;

e579..    b374 + b376 =L= 1;

e580..    b374 + b377 =L= 1;

e581..    b374 + b375 =L= 1;

e582..    b375 + b376 =L= 1;

e583..    b375 + b377 =L= 1;

e584..    b374 + b376 =L= 1;

e585..    b375 + b376 =L= 1;

e586..    b376 + b377 =L= 1;

e587..    b374 + b377 =L= 1;

e588..    b375 + b377 =L= 1;

e589..    b376 + b377 =L= 1;

e590..    b378 + b379 =L= 1;

e591..    b378 + b380 =L= 1;

e592..    b378 + b381 =L= 1;

e593..    b378 + b379 =L= 1;

e594..    b379 + b380 =L= 1;

e595..    b379 + b381 =L= 1;

e596..    b378 + b380 =L= 1;

e597..    b379 + b380 =L= 1;

e598..    b380 + b381 =L= 1;

e599..    b378 + b381 =L= 1;

e600..    b379 + b381 =L= 1;

e601..    b380 + b381 =L= 1;

e602..    b382 + b383 =L= 1;

e603..    b382 + b384 =L= 1;

e604..    b382 + b385 =L= 1;

e605..    b382 + b383 =L= 1;

e606..    b383 + b384 =L= 1;

e607..    b383 + b385 =L= 1;

e608..    b382 + b384 =L= 1;

e609..    b383 + b384 =L= 1;

e610..    b384 + b385 =L= 1;

e611..    b382 + b385 =L= 1;

e612..    b383 + b385 =L= 1;

e613..    b384 + b385 =L= 1;

e614..    b386 + b387 =L= 1;

e615..    b386 + b388 =L= 1;

e616..    b386 + b389 =L= 1;

e617..    b386 + b387 =L= 1;

e618..    b387 + b388 =L= 1;

e619..    b387 + b389 =L= 1;

e620..    b386 + b388 =L= 1;

e621..    b387 + b388 =L= 1;

e622..    b388 + b389 =L= 1;

e623..    b386 + b389 =L= 1;

e624..    b387 + b389 =L= 1;

e625..    b388 + b389 =L= 1;

e626..    b310 - b350 =L= 0;

e627..  - b310 + b311 - b351 =L= 0;

e628..  - b310 - b311 + b312 - b352 =L= 0;

e629..  - b310 - b311 - b312 + b313 - b353 =L= 0;

e630..    b314 - b354 =L= 0;

e631..  - b314 + b315 - b355 =L= 0;

e632..  - b314 - b315 + b316 - b356 =L= 0;

e633..  - b314 - b315 - b316 + b317 - b357 =L= 0;

e634..    b318 - b358 =L= 0;

e635..  - b318 + b319 - b359 =L= 0;

e636..  - b318 - b319 + b320 - b360 =L= 0;

e637..  - b318 - b319 - b320 + b321 - b361 =L= 0;

e638..    b322 - b362 =L= 0;

e639..  - b322 + b323 - b363 =L= 0;

e640..  - b322 - b323 + b324 - b364 =L= 0;

e641..  - b322 - b323 - b324 + b325 - b365 =L= 0;

e642..    b326 - b366 =L= 0;

e643..  - b326 + b327 - b367 =L= 0;

e644..  - b326 - b327 + b328 - b368 =L= 0;

e645..  - b326 - b327 - b328 + b329 - b369 =L= 0;

e646..    b330 - b370 =L= 0;

e647..  - b330 + b331 - b371 =L= 0;

e648..  - b330 - b331 + b332 - b372 =L= 0;

e649..  - b330 - b331 - b332 + b333 - b373 =L= 0;

e650..    b334 - b374 =L= 0;

e651..  - b334 + b335 - b375 =L= 0;

e652..  - b334 - b335 + b336 - b376 =L= 0;

e653..  - b334 - b335 - b336 + b337 - b377 =L= 0;

e654..    b338 - b378 =L= 0;

e655..  - b338 + b339 - b379 =L= 0;

e656..  - b338 - b339 + b340 - b380 =L= 0;

e657..  - b338 - b339 - b340 + b341 - b381 =L= 0;

e658..    b342 - b382 =L= 0;

e659..  - b342 + b343 - b383 =L= 0;

e660..  - b342 - b343 + b344 - b384 =L= 0;

e661..  - b342 - b343 - b344 + b345 - b385 =L= 0;

e662..    b346 - b386 =L= 0;

e663..  - b346 + b347 - b387 =L= 0;

e664..  - b346 - b347 + b348 - b388 =L= 0;

e665..  - b346 - b347 - b348 + b349 - b389 =L= 0;

e666..    b310 + b314 =E= 1;

e667..    b311 + b315 =E= 1;

e668..    b312 + b316 =E= 1;

e669..    b313 + b317 =E= 1;

e670..  - b318 + b330 + b334 =G= 0;

e671..  - b319 + b331 + b335 =G= 0;

e672..  - b320 + b332 + b336 =G= 0;

e673..  - b321 + b333 + b337 =G= 0;

e674..  - b322 + b338 =G= 0;

e675..  - b323 + b339 =G= 0;

e676..  - b324 + b340 =G= 0;

e677..  - b325 + b341 =G= 0;

e678..    b310 + b314 - b318 =G= 0;

e679..    b311 + b315 - b319 =G= 0;

e680..    b312 + b316 - b320 =G= 0;

e681..    b313 + b317 - b321 =G= 0;

e682..    b310 + b314 - b322 =G= 0;

e683..    b311 + b315 - b323 =G= 0;

e684..    b312 + b316 - b324 =G= 0;

e685..    b313 + b317 - b325 =G= 0;

e686..    b310 + b314 - b326 =G= 0;

e687..    b311 + b315 - b327 =G= 0;

e688..    b312 + b316 - b328 =G= 0;

e689..    b313 + b317 - b329 =G= 0;

e690..    b318 - b330 =G= 0;

e691..    b319 - b331 =G= 0;

e692..    b320 - b332 =G= 0;

e693..    b321 - b333 =G= 0;

e694..    b318 - b334 =G= 0;

e695..    b319 - b335 =G= 0;

e696..    b320 - b336 =G= 0;

e697..    b321 - b337 =G= 0;

e698..    b322 - b338 =G= 0;

e699..    b323 - b339 =G= 0;

e700..    b324 - b340 =G= 0;

e701..    b325 - b341 =G= 0;

e702..    b326 - b342 =G= 0;

e703..    b327 - b343 =G= 0;

e704..    b328 - b344 =G= 0;

e705..    b329 - b345 =G= 0;

e706..    b326 - b346 =G= 0;

e707..    b327 - b347 =G= 0;

e708..    b328 - b348 =G= 0;

e709..    b329 - b349 =G= 0;

* set non-default bounds
x42.up = 40;
x43.up = 40;
x44.up = 40;
x45.up = 40;
x86.up = 30;
x87.up = 30;
x88.up = 30;
x89.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: 2019-07-12 Git hash: 46a7b4f1
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