MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance syn15m03hfsg

Selection of optimal configuration and parameters for a processing system selected from a superstructure containing alternative processing units and interconnections.
Equivalent perspective reformulation of syn15m03.
Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
3850.18177500 p1 ( gdx sol )
(infeas: 4e-14)
Other points (infeas > 1e-08)  
Dual Bounds
3850.19523400 (ALPHAECP)
3850.54705100 (ANTIGONE)
3850.18177900 (BARON)
3850.18177500 (BONMIN)
3850.18177500 (LINDO)
3850.18228900 (SCIP)
9276.26301800 (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.
Kevin C. Furman, Nicolas W. Sawaya, Ignacio E. Grossmann, A computationally useful algebraic representation of nonlinear disjunctive convex sets using the perspective function, Tech. Rep., 2019.
Application Synthesis of processing system
Added to library 25 Sep 2019
Problem type MBNLP
#Variables 453
#Binary Variables 90
#Integer Variables 0
#Nonlinear Variables 93
#Nonlinear Binary Variables 30
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 78
#Nonlinear Nonzeros in Objective 0
#Constraints 768
#Linear Constraints 735
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 33
Operands in Gen. Nonlin. Functions div log mul
Constraints curvature convex
#Nonzeros in Jacobian 1674
#Nonlinear Nonzeros in Jacobian 99
#Nonzeros in (Upper-Left) Hessian of Lagrangian 189
#Nonzeros in Diagonal of Hessian of Lagrangian 63
#Blocks in Hessian of Lagrangian 30
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-03
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
*        769      298       60      411        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        454      364       90        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1753     1654       99        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,x310
          ,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323
          ,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336
          ,x337,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349
          ,x350,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362
          ,x363,x364,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,b390,b391,b392,b393,b394,b395,b396,b397,b398,b399,b400,b401
          ,b402,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412,b413,b414
          ,b415,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425,b426,b427
          ,b428,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438,b439,b440
          ,b441,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451,b452,b453
          ,b454;

Positive Variables  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,x310,x311,x312,x313,x314,x315,x316
          ,x317,x318,x319,x320,x321,x322,x323,x324,x325,x326,x327,x328,x329
          ,x330,x331,x332,x333,x334,x335,x336,x337,x338,x339,x340,x341,x342
          ,x343,x344,x345,x346,x347,x348,x349,x350,x351,x352,x353,x354,x355
          ,x356,x357,x358,x359,x360,x361,x362,x363,x364;

Binary Variables  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
          ,b390,b391,b392,b393,b394,b395,b396,b397,b398,b399,b400,b401,b402
          ,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412,b413,b414,b415
          ,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425,b426,b427,b428
          ,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438,b439,b440,b441
          ,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451,b452,b453,b454;

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,e710,e711,e712,e713,e714
          ,e715,e716,e717,e718,e719,e720,e721,e722,e723,e724,e725,e726,e727
          ,e728,e729,e730,e731,e732,e733,e734,e735,e736,e737,e738,e739,e740
          ,e741,e742,e743,e744,e745,e746,e747,e748,e749,e750,e751,e752,e753
          ,e754,e755,e756,e757,e758,e759,e760,e761,e762,e763,e764,e765,e766
          ,e767,e768,e769;


e1..    objvar + x47 + x48 + x49 - 5*x65 - 10*x66 - 5*x67 + 2*x80 + x81 + 2*x82
      - 500*x119 - 600*x120 - 350*x121 - 350*x122 - 400*x123 - 450*x124
      + 10*x131 + 5*x132 + 5*x133 + 5*x134 + 5*x135 + 5*x136 - 80*x155
      - 130*x156 - 215*x157 - 110*x158 - 120*x159 - 125*x160 - 110*x161
      - 130*x162 - 140*x163 - 80*x164 - 90*x165 - 120*x166 + 5*b410 + 4*b411
      + 6*b412 + 8*b413 + 7*b414 + 6*b415 + 6*b416 + 9*b417 + 4*b418 + 10*b419
      + 9*b420 + 5*b421 + 6*b422 + 10*b423 + 6*b424 + 7*b425 + 7*b426 + 4*b427
      + 4*b428 + 3*b429 + 2*b430 + 5*b431 + 6*b432 + 7*b433 + 2*b434 + 5*b435
      + 2*b436 + 4*b437 + 7*b438 + 4*b439 + 3*b440 + 9*b441 + 3*b442 + 7*b443
      + 2*b444 + 9*b445 + 3*b446 + b447 + 9*b448 + 2*b449 + 6*b450 + 3*b451
      + 4*b452 + 8*b453 + b454 =E= 0;

e2..    x47 - x50 - x53 =E= 0;

e3..    x48 - x51 - x54 =E= 0;

e4..    x49 - x52 - x55 =E= 0;

e5..  - x56 - x59 + x62 =E= 0;

e6..  - x57 - x60 + x63 =E= 0;

e7..  - x58 - x61 + x64 =E= 0;

e8..    x62 - x65 - x68 =E= 0;

e9..    x63 - x66 - x69 =E= 0;

e10..    x64 - x67 - x70 =E= 0;

e11..    x68 - x71 - x74 - x77 =E= 0;

e12..    x69 - x72 - x75 - x78 =E= 0;

e13..    x70 - x73 - x76 - x79 =E= 0;

e14..    x83 - x92 - x95 =E= 0;

e15..    x84 - x93 - x96 =E= 0;

e16..    x85 - x94 - x97 =E= 0;

e17..    x89 - x98 - x101 - x104 =E= 0;

e18..    x90 - x99 - x102 - x105 =E= 0;

e19..    x91 - x100 - x103 - x106 =E= 0;

e20..    x113 - x125 - x128 =E= 0;

e21..    x114 - x126 - x129 =E= 0;

e22..    x115 - x127 - x130 =E= 0;

e23..  - x116 - x134 + x137 =E= 0;

e24..  - x117 - x135 + x138 =E= 0;

e25..  - x118 - x136 + x139 =E= 0;

e26..    x119 - x140 - x143 =E= 0;

e27..    x120 - x141 - x144 =E= 0;

e28..    x121 - x142 - x145 =E= 0;

e29..    x122 - x146 - x149 - x152 =E= 0;

e30..    x123 - x147 - x150 - x153 =E= 0;

e31..    x124 - x148 - x151 - x154 =E= 0;

e32.. (x179/(0.001 + 0.999*b365) - log(1 + x167/(0.001 + 0.999*b365)))*(0.001
       + 0.999*b365) =L= 0;

e33.. (x180/(0.001 + 0.999*b366) - log(1 + x168/(0.001 + 0.999*b366)))*(0.001
       + 0.999*b366) =L= 0;

e34.. (x181/(0.001 + 0.999*b367) - log(1 + x169/(0.001 + 0.999*b367)))*(0.001
       + 0.999*b367) =L= 0;

e35..    x170 =E= 0;

e36..    x171 =E= 0;

e37..    x172 =E= 0;

e38..    x182 =E= 0;

e39..    x183 =E= 0;

e40..    x184 =E= 0;

e41..    x50 - x167 - x170 =E= 0;

e42..    x51 - x168 - x171 =E= 0;

e43..    x52 - x169 - x172 =E= 0;

e44..    x56 - x179 - x182 =E= 0;

e45..    x57 - x180 - x183 =E= 0;

e46..    x58 - x181 - x184 =E= 0;

e47..    x167 - 40*b365 =L= 0;

e48..    x168 - 40*b366 =L= 0;

e49..    x169 - 40*b367 =L= 0;

e50..    x170 + 40*b365 =L= 40;

e51..    x171 + 40*b366 =L= 40;

e52..    x172 + 40*b367 =L= 40;

e53..    x179 - 3.71357206670431*b365 =L= 0;

e54..    x180 - 3.71357206670431*b366 =L= 0;

e55..    x181 - 3.71357206670431*b367 =L= 0;

e56..    x182 + 3.71357206670431*b365 =L= 3.71357206670431;

e57..    x183 + 3.71357206670431*b366 =L= 3.71357206670431;

e58..    x184 + 3.71357206670431*b367 =L= 3.71357206670431;

e59.. (x185/(0.001 + 0.999*b368) - 1.2*log(1 + x173/(0.001 + 0.999*b368)))*(
      0.001 + 0.999*b368) =L= 0;

e60.. (x186/(0.001 + 0.999*b369) - 1.2*log(1 + x174/(0.001 + 0.999*b369)))*(
      0.001 + 0.999*b369) =L= 0;

e61.. (x187/(0.001 + 0.999*b370) - 1.2*log(1 + x175/(0.001 + 0.999*b370)))*(
      0.001 + 0.999*b370) =L= 0;

e62..    x176 =E= 0;

e63..    x177 =E= 0;

e64..    x178 =E= 0;

e65..    x188 =E= 0;

e66..    x189 =E= 0;

e67..    x190 =E= 0;

e68..    x53 - x173 - x176 =E= 0;

e69..    x54 - x174 - x177 =E= 0;

e70..    x55 - x175 - x178 =E= 0;

e71..    x59 - x185 - x188 =E= 0;

e72..    x60 - x186 - x189 =E= 0;

e73..    x61 - x187 - x190 =E= 0;

e74..    x173 - 40*b368 =L= 0;

e75..    x174 - 40*b369 =L= 0;

e76..    x175 - 40*b370 =L= 0;

e77..    x176 + 40*b368 =L= 40;

e78..    x177 + 40*b369 =L= 40;

e79..    x178 + 40*b370 =L= 40;

e80..    x185 - 4.45628648004517*b368 =L= 0;

e81..    x186 - 4.45628648004517*b369 =L= 0;

e82..    x187 - 4.45628648004517*b370 =L= 0;

e83..    x188 + 4.45628648004517*b368 =L= 4.45628648004517;

e84..    x189 + 4.45628648004517*b369 =L= 4.45628648004517;

e85..    x190 + 4.45628648004517*b370 =L= 4.45628648004517;

e86..  - 0.75*x191 + x215 =E= 0;

e87..  - 0.75*x192 + x216 =E= 0;

e88..  - 0.75*x193 + x217 =E= 0;

e89..    x194 =E= 0;

e90..    x195 =E= 0;

e91..    x196 =E= 0;

e92..    x218 =E= 0;

e93..    x219 =E= 0;

e94..    x220 =E= 0;

e95..    x71 - x191 - x194 =E= 0;

e96..    x72 - x192 - x195 =E= 0;

e97..    x73 - x193 - x196 =E= 0;

e98..    x83 - x215 - x218 =E= 0;

e99..    x84 - x216 - x219 =E= 0;

e100..    x85 - x217 - x220 =E= 0;

e101..    x191 - 4.45628648004517*b371 =L= 0;

e102..    x192 - 4.45628648004517*b372 =L= 0;

e103..    x193 - 4.45628648004517*b373 =L= 0;

e104..    x194 + 4.45628648004517*b371 =L= 4.45628648004517;

e105..    x195 + 4.45628648004517*b372 =L= 4.45628648004517;

e106..    x196 + 4.45628648004517*b373 =L= 4.45628648004517;

e107..    x215 - 3.34221486003388*b371 =L= 0;

e108..    x216 - 3.34221486003388*b372 =L= 0;

e109..    x217 - 3.34221486003388*b373 =L= 0;

e110..    x218 + 3.34221486003388*b371 =L= 3.34221486003388;

e111..    x219 + 3.34221486003388*b372 =L= 3.34221486003388;

e112..    x220 + 3.34221486003388*b373 =L= 3.34221486003388;

e113.. (x221/(0.001 + 0.999*b374) - 1.5*log(1 + x197/(0.001 + 0.999*b374)))*(
       0.001 + 0.999*b374) =L= 0;

e114.. (x222/(0.001 + 0.999*b375) - 1.5*log(1 + x198/(0.001 + 0.999*b375)))*(
       0.001 + 0.999*b375) =L= 0;

e115.. (x223/(0.001 + 0.999*b376) - 1.5*log(1 + x199/(0.001 + 0.999*b376)))*(
       0.001 + 0.999*b376) =L= 0;

e116..    x200 =E= 0;

e117..    x201 =E= 0;

e118..    x202 =E= 0;

e119..    x227 =E= 0;

e120..    x228 =E= 0;

e121..    x229 =E= 0;

e122..    x74 - x197 - x200 =E= 0;

e123..    x75 - x198 - x201 =E= 0;

e124..    x76 - x199 - x202 =E= 0;

e125..    x86 - x221 - x227 =E= 0;

e126..    x87 - x222 - x228 =E= 0;

e127..    x88 - x223 - x229 =E= 0;

e128..    x197 - 4.45628648004517*b374 =L= 0;

e129..    x198 - 4.45628648004517*b375 =L= 0;

e130..    x199 - 4.45628648004517*b376 =L= 0;

e131..    x200 + 4.45628648004517*b374 =L= 4.45628648004517;

e132..    x201 + 4.45628648004517*b375 =L= 4.45628648004517;

e133..    x202 + 4.45628648004517*b376 =L= 4.45628648004517;

e134..    x221 - 2.54515263975353*b374 =L= 0;

e135..    x222 - 2.54515263975353*b375 =L= 0;

e136..    x223 - 2.54515263975353*b376 =L= 0;

e137..    x227 + 2.54515263975353*b374 =L= 2.54515263975353;

e138..    x228 + 2.54515263975353*b375 =L= 2.54515263975353;

e139..    x229 + 2.54515263975353*b376 =L= 2.54515263975353;

e140..  - x203 + x233 =E= 0;

e141..  - x204 + x234 =E= 0;

e142..  - x205 + x235 =E= 0;

e143..  - 0.5*x209 + x233 =E= 0;

e144..  - 0.5*x210 + x234 =E= 0;

e145..  - 0.5*x211 + x235 =E= 0;

e146..    x206 =E= 0;

e147..    x207 =E= 0;

e148..    x208 =E= 0;

e149..    x212 =E= 0;

e150..    x213 =E= 0;

e151..    x214 =E= 0;

e152..    x236 =E= 0;

e153..    x237 =E= 0;

e154..    x238 =E= 0;

e155..    x77 - x203 - x206 =E= 0;

e156..    x78 - x204 - x207 =E= 0;

e157..    x79 - x205 - x208 =E= 0;

e158..    x80 - x209 - x212 =E= 0;

e159..    x81 - x210 - x213 =E= 0;

e160..    x82 - x211 - x214 =E= 0;

e161..    x89 - x233 - x236 =E= 0;

e162..    x90 - x234 - x237 =E= 0;

e163..    x91 - x235 - x238 =E= 0;

e164..    x203 - 4.45628648004517*b377 =L= 0;

e165..    x204 - 4.45628648004517*b378 =L= 0;

e166..    x205 - 4.45628648004517*b379 =L= 0;

e167..    x206 + 4.45628648004517*b377 =L= 4.45628648004517;

e168..    x207 + 4.45628648004517*b378 =L= 4.45628648004517;

e169..    x208 + 4.45628648004517*b379 =L= 4.45628648004517;

e170..    x209 - 30*b377 =L= 0;

e171..    x210 - 30*b378 =L= 0;

e172..    x211 - 30*b379 =L= 0;

e173..    x212 + 30*b377 =L= 30;

e174..    x213 + 30*b378 =L= 30;

e175..    x214 + 30*b379 =L= 30;

e176..    x233 - 15*b377 =L= 0;

e177..    x234 - 15*b378 =L= 0;

e178..    x235 - 15*b379 =L= 0;

e179..    x236 + 15*b377 =L= 15;

e180..    x237 + 15*b378 =L= 15;

e181..    x238 + 15*b379 =L= 15;

e182.. (x269/(0.001 + 0.999*b380) - 1.25*log(1 + x239/(0.001 + 0.999*b380)))*(
       0.001 + 0.999*b380) =L= 0;

e183.. (x270/(0.001 + 0.999*b381) - 1.25*log(1 + x240/(0.001 + 0.999*b381)))*(
       0.001 + 0.999*b381) =L= 0;

e184.. (x271/(0.001 + 0.999*b382) - 1.25*log(1 + x241/(0.001 + 0.999*b382)))*(
       0.001 + 0.999*b382) =L= 0;

e185..    x242 =E= 0;

e186..    x243 =E= 0;

e187..    x244 =E= 0;

e188..    x275 =E= 0;

e189..    x276 =E= 0;

e190..    x277 =E= 0;

e191..    x92 - x239 - x242 =E= 0;

e192..    x93 - x240 - x243 =E= 0;

e193..    x94 - x241 - x244 =E= 0;

e194..    x107 - x269 - x275 =E= 0;

e195..    x108 - x270 - x276 =E= 0;

e196..    x109 - x271 - x277 =E= 0;

e197..    x239 - 3.34221486003388*b380 =L= 0;

e198..    x240 - 3.34221486003388*b381 =L= 0;

e199..    x241 - 3.34221486003388*b382 =L= 0;

e200..    x242 + 3.34221486003388*b380 =L= 3.34221486003388;

e201..    x243 + 3.34221486003388*b381 =L= 3.34221486003388;

e202..    x244 + 3.34221486003388*b382 =L= 3.34221486003388;

e203..    x269 - 1.83548069293539*b380 =L= 0;

e204..    x270 - 1.83548069293539*b381 =L= 0;

e205..    x271 - 1.83548069293539*b382 =L= 0;

e206..    x275 + 1.83548069293539*b380 =L= 1.83548069293539;

e207..    x276 + 1.83548069293539*b381 =L= 1.83548069293539;

e208..    x277 + 1.83548069293539*b382 =L= 1.83548069293539;

e209.. (x281/(0.001 + 0.999*b383) - 0.9*log(1 + x245/(0.001 + 0.999*b383)))*(
       0.001 + 0.999*b383) =L= 0;

e210.. (x282/(0.001 + 0.999*b384) - 0.9*log(1 + x246/(0.001 + 0.999*b384)))*(
       0.001 + 0.999*b384) =L= 0;

e211.. (x283/(0.001 + 0.999*b385) - 0.9*log(1 + x247/(0.001 + 0.999*b385)))*(
       0.001 + 0.999*b385) =L= 0;

e212..    x248 =E= 0;

e213..    x249 =E= 0;

e214..    x250 =E= 0;

e215..    x287 =E= 0;

e216..    x288 =E= 0;

e217..    x289 =E= 0;

e218..    x95 - x245 - x248 =E= 0;

e219..    x96 - x246 - x249 =E= 0;

e220..    x97 - x247 - x250 =E= 0;

e221..    x110 - x281 - x287 =E= 0;

e222..    x111 - x282 - x288 =E= 0;

e223..    x112 - x283 - x289 =E= 0;

e224..    x245 - 3.34221486003388*b383 =L= 0;

e225..    x246 - 3.34221486003388*b384 =L= 0;

e226..    x247 - 3.34221486003388*b385 =L= 0;

e227..    x248 + 3.34221486003388*b383 =L= 3.34221486003388;

e228..    x249 + 3.34221486003388*b384 =L= 3.34221486003388;

e229..    x250 + 3.34221486003388*b385 =L= 3.34221486003388;

e230..    x281 - 1.32154609891348*b383 =L= 0;

e231..    x282 - 1.32154609891348*b384 =L= 0;

e232..    x283 - 1.32154609891348*b385 =L= 0;

e233..    x287 + 1.32154609891348*b383 =L= 1.32154609891348;

e234..    x288 + 1.32154609891348*b384 =L= 1.32154609891348;

e235..    x289 + 1.32154609891348*b385 =L= 1.32154609891348;

e236.. (x293/(0.001 + 0.999*b386) - log(1 + x224/(0.001 + 0.999*b386)))*(0.001
        + 0.999*b386) =L= 0;

e237.. (x294/(0.001 + 0.999*b387) - log(1 + x225/(0.001 + 0.999*b387)))*(0.001
        + 0.999*b387) =L= 0;

e238.. (x295/(0.001 + 0.999*b388) - log(1 + x226/(0.001 + 0.999*b388)))*(0.001
        + 0.999*b388) =L= 0;

e239..    x230 =E= 0;

e240..    x231 =E= 0;

e241..    x232 =E= 0;

e242..    x296 =E= 0;

e243..    x297 =E= 0;

e244..    x298 =E= 0;

e245..    x86 - x224 - x230 =E= 0;

e246..    x87 - x225 - x231 =E= 0;

e247..    x88 - x226 - x232 =E= 0;

e248..    x113 - x293 - x296 =E= 0;

e249..    x114 - x294 - x297 =E= 0;

e250..    x115 - x295 - x298 =E= 0;

e251..    x224 - 2.54515263975353*b386 =L= 0;

e252..    x225 - 2.54515263975353*b387 =L= 0;

e253..    x226 - 2.54515263975353*b388 =L= 0;

e254..    x230 + 2.54515263975353*b386 =L= 2.54515263975353;

e255..    x231 + 2.54515263975353*b387 =L= 2.54515263975353;

e256..    x232 + 2.54515263975353*b388 =L= 2.54515263975353;

e257..    x293 - 1.26558121681553*b386 =L= 0;

e258..    x294 - 1.26558121681553*b387 =L= 0;

e259..    x295 - 1.26558121681553*b388 =L= 0;

e260..    x296 + 1.26558121681553*b386 =L= 1.26558121681553;

e261..    x297 + 1.26558121681553*b387 =L= 1.26558121681553;

e262..    x298 + 1.26558121681553*b388 =L= 1.26558121681553;

e263..  - 0.9*x251 + x299 =E= 0;

e264..  - 0.9*x252 + x300 =E= 0;

e265..  - 0.9*x253 + x301 =E= 0;

e266..    x254 =E= 0;

e267..    x255 =E= 0;

e268..    x256 =E= 0;

e269..    x302 =E= 0;

e270..    x303 =E= 0;

e271..    x304 =E= 0;

e272..    x98 - x251 - x254 =E= 0;

e273..    x99 - x252 - x255 =E= 0;

e274..    x100 - x253 - x256 =E= 0;

e275..    x116 - x299 - x302 =E= 0;

e276..    x117 - x300 - x303 =E= 0;

e277..    x118 - x301 - x304 =E= 0;

e278..    x251 - 15*b389 =L= 0;

e279..    x252 - 15*b390 =L= 0;

e280..    x253 - 15*b391 =L= 0;

e281..    x254 + 15*b389 =L= 15;

e282..    x255 + 15*b390 =L= 15;

e283..    x256 + 15*b391 =L= 15;

e284..    x299 - 13.5*b389 =L= 0;

e285..    x300 - 13.5*b390 =L= 0;

e286..    x301 - 13.5*b391 =L= 0;

e287..    x302 + 13.5*b389 =L= 13.5;

e288..    x303 + 13.5*b390 =L= 13.5;

e289..    x304 + 13.5*b391 =L= 13.5;

e290..  - 0.6*x257 + x305 =E= 0;

e291..  - 0.6*x258 + x306 =E= 0;

e292..  - 0.6*x259 + x307 =E= 0;

e293..    x260 =E= 0;

e294..    x261 =E= 0;

e295..    x262 =E= 0;

e296..    x308 =E= 0;

e297..    x309 =E= 0;

e298..    x310 =E= 0;

e299..    x101 - x257 - x260 =E= 0;

e300..    x102 - x258 - x261 =E= 0;

e301..    x103 - x259 - x262 =E= 0;

e302..    x119 - x305 - x308 =E= 0;

e303..    x120 - x306 - x309 =E= 0;

e304..    x121 - x307 - x310 =E= 0;

e305..    x257 - 15*b392 =L= 0;

e306..    x258 - 15*b393 =L= 0;

e307..    x259 - 15*b394 =L= 0;

e308..    x260 + 15*b392 =L= 15;

e309..    x261 + 15*b393 =L= 15;

e310..    x262 + 15*b394 =L= 15;

e311..    x305 - 9*b392 =L= 0;

e312..    x306 - 9*b393 =L= 0;

e313..    x307 - 9*b394 =L= 0;

e314..    x308 + 9*b392 =L= 9;

e315..    x309 + 9*b393 =L= 9;

e316..    x310 + 9*b394 =L= 9;

e317.. (x311/(0.001 + 0.999*b395) - 1.1*log(1 + x263/(0.001 + 0.999*b395)))*(
       0.001 + 0.999*b395) =L= 0;

e318.. (x312/(0.001 + 0.999*b396) - 1.1*log(1 + x264/(0.001 + 0.999*b396)))*(
       0.001 + 0.999*b396) =L= 0;

e319.. (x313/(0.001 + 0.999*b397) - 1.1*log(1 + x265/(0.001 + 0.999*b397)))*(
       0.001 + 0.999*b397) =L= 0;

e320..    x266 =E= 0;

e321..    x267 =E= 0;

e322..    x268 =E= 0;

e323..    x314 =E= 0;

e324..    x315 =E= 0;

e325..    x316 =E= 0;

e326..    x104 - x263 - x266 =E= 0;

e327..    x105 - x264 - x267 =E= 0;

e328..    x106 - x265 - x268 =E= 0;

e329..    x122 - x311 - x314 =E= 0;

e330..    x123 - x312 - x315 =E= 0;

e331..    x124 - x313 - x316 =E= 0;

e332..    x263 - 15*b395 =L= 0;

e333..    x264 - 15*b396 =L= 0;

e334..    x265 - 15*b397 =L= 0;

e335..    x266 + 15*b395 =L= 15;

e336..    x267 + 15*b396 =L= 15;

e337..    x268 + 15*b397 =L= 15;

e338..    x311 - 3.04984759446376*b395 =L= 0;

e339..    x312 - 3.04984759446376*b396 =L= 0;

e340..    x313 - 3.04984759446376*b397 =L= 0;

e341..    x314 + 3.04984759446376*b395 =L= 3.04984759446376;

e342..    x315 + 3.04984759446376*b396 =L= 3.04984759446376;

e343..    x316 + 3.04984759446376*b397 =L= 3.04984759446376;

e344..  - 0.9*x272 + x341 =E= 0;

e345..  - 0.9*x273 + x342 =E= 0;

e346..  - 0.9*x274 + x343 =E= 0;

e347..  - x329 + x341 =E= 0;

e348..  - x330 + x342 =E= 0;

e349..  - x331 + x343 =E= 0;

e350..    x278 =E= 0;

e351..    x279 =E= 0;

e352..    x280 =E= 0;

e353..    x332 =E= 0;

e354..    x333 =E= 0;

e355..    x334 =E= 0;

e356..    x344 =E= 0;

e357..    x345 =E= 0;

e358..    x346 =E= 0;

e359..    x107 - x272 - x278 =E= 0;

e360..    x108 - x273 - x279 =E= 0;

e361..    x109 - x274 - x280 =E= 0;

e362..    x131 - x329 - x332 =E= 0;

e363..    x132 - x330 - x333 =E= 0;

e364..    x133 - x331 - x334 =E= 0;

e365..    x155 - x341 - x344 =E= 0;

e366..    x156 - x342 - x345 =E= 0;

e367..    x157 - x343 - x346 =E= 0;

e368..    x272 - 1.83548069293539*b398 =L= 0;

e369..    x273 - 1.83548069293539*b399 =L= 0;

e370..    x274 - 1.83548069293539*b400 =L= 0;

e371..    x278 + 1.83548069293539*b398 =L= 1.83548069293539;

e372..    x279 + 1.83548069293539*b399 =L= 1.83548069293539;

e373..    x280 + 1.83548069293539*b400 =L= 1.83548069293539;

e374..    x329 - 20*b398 =L= 0;

e375..    x330 - 20*b399 =L= 0;

e376..    x331 - 20*b400 =L= 0;

e377..    x332 + 20*b398 =L= 20;

e378..    x333 + 20*b399 =L= 20;

e379..    x334 + 20*b400 =L= 20;

e380..    x341 - 20*b398 =L= 0;

e381..    x342 - 20*b399 =L= 0;

e382..    x343 - 20*b400 =L= 0;

e383..    x344 + 20*b398 =L= 20;

e384..    x345 + 20*b399 =L= 20;

e385..    x346 + 20*b400 =L= 20;

e386.. (x347/(0.001 + 0.999*b401) - log(1 + x284/(0.001 + 0.999*b401)))*(0.001
        + 0.999*b401) =L= 0;

e387.. (x348/(0.001 + 0.999*b402) - log(1 + x285/(0.001 + 0.999*b402)))*(0.001
        + 0.999*b402) =L= 0;

e388.. (x349/(0.001 + 0.999*b403) - log(1 + x286/(0.001 + 0.999*b403)))*(0.001
        + 0.999*b403) =L= 0;

e389..    x290 =E= 0;

e390..    x291 =E= 0;

e391..    x292 =E= 0;

e392..    x350 =E= 0;

e393..    x351 =E= 0;

e394..    x352 =E= 0;

e395..    x110 - x284 - x290 =E= 0;

e396..    x111 - x285 - x291 =E= 0;

e397..    x112 - x286 - x292 =E= 0;

e398..    x158 - x347 - x350 =E= 0;

e399..    x159 - x348 - x351 =E= 0;

e400..    x160 - x349 - x352 =E= 0;

e401..    x284 - 1.32154609891348*b401 =L= 0;

e402..    x285 - 1.32154609891348*b402 =L= 0;

e403..    x286 - 1.32154609891348*b403 =L= 0;

e404..    x290 + 1.32154609891348*b401 =L= 1.32154609891348;

e405..    x291 + 1.32154609891348*b402 =L= 1.32154609891348;

e406..    x292 + 1.32154609891348*b403 =L= 1.32154609891348;

e407..    x347 - 0.842233385663186*b401 =L= 0;

e408..    x348 - 0.842233385663186*b402 =L= 0;

e409..    x349 - 0.842233385663186*b403 =L= 0;

e410..    x350 + 0.842233385663186*b401 =L= 0.842233385663186;

e411..    x351 + 0.842233385663186*b402 =L= 0.842233385663186;

e412..    x352 + 0.842233385663186*b403 =L= 0.842233385663186;

e413.. (x353/(0.001 + 0.999*b404) - 0.7*log(1 + x317/(0.001 + 0.999*b404)))*(
       0.001 + 0.999*b404) =L= 0;

e414.. (x354/(0.001 + 0.999*b405) - 0.7*log(1 + x318/(0.001 + 0.999*b405)))*(
       0.001 + 0.999*b405) =L= 0;

e415.. (x355/(0.001 + 0.999*b406) - 0.7*log(1 + x319/(0.001 + 0.999*b406)))*(
       0.001 + 0.999*b406) =L= 0;

e416..    x320 =E= 0;

e417..    x321 =E= 0;

e418..    x322 =E= 0;

e419..    x356 =E= 0;

e420..    x357 =E= 0;

e421..    x358 =E= 0;

e422..    x125 - x317 - x320 =E= 0;

e423..    x126 - x318 - x321 =E= 0;

e424..    x127 - x319 - x322 =E= 0;

e425..    x161 - x353 - x356 =E= 0;

e426..    x162 - x354 - x357 =E= 0;

e427..    x163 - x355 - x358 =E= 0;

e428..    x317 - 1.26558121681553*b404 =L= 0;

e429..    x318 - 1.26558121681553*b405 =L= 0;

e430..    x319 - 1.26558121681553*b406 =L= 0;

e431..    x320 + 1.26558121681553*b404 =L= 1.26558121681553;

e432..    x321 + 1.26558121681553*b405 =L= 1.26558121681553;

e433..    x322 + 1.26558121681553*b406 =L= 1.26558121681553;

e434..    x353 - 0.572481933717686*b404 =L= 0;

e435..    x354 - 0.572481933717686*b405 =L= 0;

e436..    x355 - 0.572481933717686*b406 =L= 0;

e437..    x356 + 0.572481933717686*b404 =L= 0.572481933717686;

e438..    x357 + 0.572481933717686*b405 =L= 0.572481933717686;

e439..    x358 + 0.572481933717686*b406 =L= 0.572481933717686;

e440.. (x359/(0.001 + 0.999*b407) - 0.65*log(1 + x323/(0.001 + 0.999*b407)))*(
       0.001 + 0.999*b407) =L= 0;

e441.. (x360/(0.001 + 0.999*b408) - 0.65*log(1 + x324/(0.001 + 0.999*b408)))*(
       0.001 + 0.999*b408) =L= 0;

e442.. (x361/(0.001 + 0.999*b409) - 0.65*log(1 + x325/(0.001 + 0.999*b409)))*(
       0.001 + 0.999*b409) =L= 0;

e443.. (x359/(0.001 + 0.999*b407) - 0.65*log(1 + x335/(0.001 + 0.999*b407)))*(
       0.001 + 0.999*b407) =L= 0;

e444.. (x360/(0.001 + 0.999*b408) - 0.65*log(1 + x336/(0.001 + 0.999*b408)))*(
       0.001 + 0.999*b408) =L= 0;

e445.. (x361/(0.001 + 0.999*b409) - 0.65*log(1 + x337/(0.001 + 0.999*b409)))*(
       0.001 + 0.999*b409) =L= 0;

e446..    x326 =E= 0;

e447..    x327 =E= 0;

e448..    x328 =E= 0;

e449..    x338 =E= 0;

e450..    x339 =E= 0;

e451..    x340 =E= 0;

e452..    x362 =E= 0;

e453..    x363 =E= 0;

e454..    x364 =E= 0;

e455..    x128 - x323 - x326 =E= 0;

e456..    x129 - x324 - x327 =E= 0;

e457..    x130 - x325 - x328 =E= 0;

e458..    x137 - x335 - x338 =E= 0;

e459..    x138 - x336 - x339 =E= 0;

e460..    x139 - x337 - x340 =E= 0;

e461..    x164 - x359 - x362 =E= 0;

e462..    x165 - x360 - x363 =E= 0;

e463..    x166 - x361 - x364 =E= 0;

e464..    x323 - 1.26558121681553*b407 =L= 0;

e465..    x324 - 1.26558121681553*b408 =L= 0;

e466..    x325 - 1.26558121681553*b409 =L= 0;

e467..    x326 + 1.26558121681553*b407 =L= 1.26558121681553;

e468..    x327 + 1.26558121681553*b408 =L= 1.26558121681553;

e469..    x328 + 1.26558121681553*b409 =L= 1.26558121681553;

e470..    x335 - 33.5*b407 =L= 0;

e471..    x336 - 33.5*b408 =L= 0;

e472..    x337 - 33.5*b409 =L= 0;

e473..    x338 + 33.5*b407 =L= 33.5;

e474..    x339 + 33.5*b408 =L= 33.5;

e475..    x340 + 33.5*b409 =L= 33.5;

e476..    x359 - 2.30162356062425*b407 =L= 0;

e477..    x360 - 2.30162356062425*b408 =L= 0;

e478..    x361 - 2.30162356062425*b409 =L= 0;

e479..    x362 + 2.30162356062425*b407 =L= 2.30162356062425;

e480..    x363 + 2.30162356062425*b408 =L= 2.30162356062425;

e481..    x364 + 2.30162356062425*b409 =L= 2.30162356062425;

e482..    x2 + 5*b410 =E= 0;

e483..    x3 + 4*b411 =E= 0;

e484..    x4 + 6*b412 =E= 0;

e485..    x5 + 8*b413 =E= 0;

e486..    x6 + 7*b414 =E= 0;

e487..    x7 + 6*b415 =E= 0;

e488..    x8 + 6*b416 =E= 0;

e489..    x9 + 9*b417 =E= 0;

e490..    x10 + 4*b418 =E= 0;

e491..    x11 + 10*b419 =E= 0;

e492..    x12 + 9*b420 =E= 0;

e493..    x13 + 5*b421 =E= 0;

e494..    x14 + 6*b422 =E= 0;

e495..    x15 + 10*b423 =E= 0;

e496..    x16 + 6*b424 =E= 0;

e497..    x17 + 7*b425 =E= 0;

e498..    x18 + 7*b426 =E= 0;

e499..    x19 + 4*b427 =E= 0;

e500..    x20 + 4*b428 =E= 0;

e501..    x21 + 3*b429 =E= 0;

e502..    x22 + 2*b430 =E= 0;

e503..    x23 + 5*b431 =E= 0;

e504..    x24 + 6*b432 =E= 0;

e505..    x25 + 7*b433 =E= 0;

e506..    x26 + 2*b434 =E= 0;

e507..    x27 + 5*b435 =E= 0;

e508..    x28 + 2*b436 =E= 0;

e509..    x29 + 4*b437 =E= 0;

e510..    x30 + 7*b438 =E= 0;

e511..    x31 + 4*b439 =E= 0;

e512..    x32 + 3*b440 =E= 0;

e513..    x33 + 9*b441 =E= 0;

e514..    x34 + 3*b442 =E= 0;

e515..    x35 + 7*b443 =E= 0;

e516..    x36 + 2*b444 =E= 0;

e517..    x37 + 9*b445 =E= 0;

e518..    x38 + 3*b446 =E= 0;

e519..    x39 + b447 =E= 0;

e520..    x40 + 9*b448 =E= 0;

e521..    x41 + 2*b449 =E= 0;

e522..    x42 + 6*b450 =E= 0;

e523..    x43 + 3*b451 =E= 0;

e524..    x44 + 4*b452 =E= 0;

e525..    x45 + 8*b453 =E= 0;

e526..    x46 + b454 =E= 0;

e527..    b365 - b366 =L= 0;

e528..    b365 - b367 =L= 0;

e529..    b366 - b367 =L= 0;

e530..    b368 - b369 =L= 0;

e531..    b368 - b370 =L= 0;

e532..    b369 - b370 =L= 0;

e533..    b371 - b372 =L= 0;

e534..    b371 - b373 =L= 0;

e535..    b372 - b373 =L= 0;

e536..    b374 - b375 =L= 0;

e537..    b374 - b376 =L= 0;

e538..    b375 - b376 =L= 0;

e539..    b377 - b378 =L= 0;

e540..    b377 - b379 =L= 0;

e541..    b378 - b379 =L= 0;

e542..    b380 - b381 =L= 0;

e543..    b380 - b382 =L= 0;

e544..    b381 - b382 =L= 0;

e545..    b383 - b384 =L= 0;

e546..    b383 - b385 =L= 0;

e547..    b384 - b385 =L= 0;

e548..    b386 - b387 =L= 0;

e549..    b386 - b388 =L= 0;

e550..    b387 - b388 =L= 0;

e551..    b389 - b390 =L= 0;

e552..    b389 - b391 =L= 0;

e553..    b390 - b391 =L= 0;

e554..    b392 - b393 =L= 0;

e555..    b392 - b394 =L= 0;

e556..    b393 - b394 =L= 0;

e557..    b395 - b396 =L= 0;

e558..    b395 - b397 =L= 0;

e559..    b396 - b397 =L= 0;

e560..    b398 - b399 =L= 0;

e561..    b398 - b400 =L= 0;

e562..    b399 - b400 =L= 0;

e563..    b401 - b402 =L= 0;

e564..    b401 - b403 =L= 0;

e565..    b402 - b403 =L= 0;

e566..    b404 - b405 =L= 0;

e567..    b404 - b406 =L= 0;

e568..    b405 - b406 =L= 0;

e569..    b407 - b408 =L= 0;

e570..    b407 - b409 =L= 0;

e571..    b408 - b409 =L= 0;

e572..    b410 + b411 =L= 1;

e573..    b410 + b412 =L= 1;

e574..    b410 + b411 =L= 1;

e575..    b411 + b412 =L= 1;

e576..    b410 + b412 =L= 1;

e577..    b411 + b412 =L= 1;

e578..    b413 + b414 =L= 1;

e579..    b413 + b415 =L= 1;

e580..    b413 + b414 =L= 1;

e581..    b414 + b415 =L= 1;

e582..    b413 + b415 =L= 1;

e583..    b414 + b415 =L= 1;

e584..    b416 + b417 =L= 1;

e585..    b416 + b418 =L= 1;

e586..    b416 + b417 =L= 1;

e587..    b417 + b418 =L= 1;

e588..    b416 + b418 =L= 1;

e589..    b417 + b418 =L= 1;

e590..    b419 + b420 =L= 1;

e591..    b419 + b421 =L= 1;

e592..    b419 + b420 =L= 1;

e593..    b420 + b421 =L= 1;

e594..    b419 + b421 =L= 1;

e595..    b420 + b421 =L= 1;

e596..    b422 + b423 =L= 1;

e597..    b422 + b424 =L= 1;

e598..    b422 + b423 =L= 1;

e599..    b423 + b424 =L= 1;

e600..    b422 + b424 =L= 1;

e601..    b423 + b424 =L= 1;

e602..    b425 + b426 =L= 1;

e603..    b425 + b427 =L= 1;

e604..    b425 + b426 =L= 1;

e605..    b426 + b427 =L= 1;

e606..    b425 + b427 =L= 1;

e607..    b426 + b427 =L= 1;

e608..    b428 + b429 =L= 1;

e609..    b428 + b430 =L= 1;

e610..    b428 + b429 =L= 1;

e611..    b429 + b430 =L= 1;

e612..    b428 + b430 =L= 1;

e613..    b429 + b430 =L= 1;

e614..    b431 + b432 =L= 1;

e615..    b431 + b433 =L= 1;

e616..    b431 + b432 =L= 1;

e617..    b432 + b433 =L= 1;

e618..    b431 + b433 =L= 1;

e619..    b432 + b433 =L= 1;

e620..    b434 + b435 =L= 1;

e621..    b434 + b436 =L= 1;

e622..    b434 + b435 =L= 1;

e623..    b435 + b436 =L= 1;

e624..    b434 + b436 =L= 1;

e625..    b435 + b436 =L= 1;

e626..    b437 + b438 =L= 1;

e627..    b437 + b439 =L= 1;

e628..    b437 + b438 =L= 1;

e629..    b438 + b439 =L= 1;

e630..    b437 + b439 =L= 1;

e631..    b438 + b439 =L= 1;

e632..    b440 + b441 =L= 1;

e633..    b440 + b442 =L= 1;

e634..    b440 + b441 =L= 1;

e635..    b441 + b442 =L= 1;

e636..    b440 + b442 =L= 1;

e637..    b441 + b442 =L= 1;

e638..    b443 + b444 =L= 1;

e639..    b443 + b445 =L= 1;

e640..    b443 + b444 =L= 1;

e641..    b444 + b445 =L= 1;

e642..    b443 + b445 =L= 1;

e643..    b444 + b445 =L= 1;

e644..    b446 + b447 =L= 1;

e645..    b446 + b448 =L= 1;

e646..    b446 + b447 =L= 1;

e647..    b447 + b448 =L= 1;

e648..    b446 + b448 =L= 1;

e649..    b447 + b448 =L= 1;

e650..    b449 + b450 =L= 1;

e651..    b449 + b451 =L= 1;

e652..    b449 + b450 =L= 1;

e653..    b450 + b451 =L= 1;

e654..    b449 + b451 =L= 1;

e655..    b450 + b451 =L= 1;

e656..    b452 + b453 =L= 1;

e657..    b452 + b454 =L= 1;

e658..    b452 + b453 =L= 1;

e659..    b453 + b454 =L= 1;

e660..    b452 + b454 =L= 1;

e661..    b453 + b454 =L= 1;

e662..    b365 - b410 =L= 0;

e663..  - b365 + b366 - b411 =L= 0;

e664..  - b365 - b366 + b367 - b412 =L= 0;

e665..    b368 - b413 =L= 0;

e666..  - b368 + b369 - b414 =L= 0;

e667..  - b368 - b369 + b370 - b415 =L= 0;

e668..    b371 - b416 =L= 0;

e669..  - b371 + b372 - b417 =L= 0;

e670..  - b371 - b372 + b373 - b418 =L= 0;

e671..    b374 - b419 =L= 0;

e672..  - b374 + b375 - b420 =L= 0;

e673..  - b374 - b375 + b376 - b421 =L= 0;

e674..    b377 - b422 =L= 0;

e675..  - b377 + b378 - b423 =L= 0;

e676..  - b377 - b378 + b379 - b424 =L= 0;

e677..    b380 - b425 =L= 0;

e678..  - b380 + b381 - b426 =L= 0;

e679..  - b380 - b381 + b382 - b427 =L= 0;

e680..    b383 - b428 =L= 0;

e681..  - b383 + b384 - b429 =L= 0;

e682..  - b383 - b384 + b385 - b430 =L= 0;

e683..    b386 - b431 =L= 0;

e684..  - b386 + b387 - b432 =L= 0;

e685..  - b386 - b387 + b388 - b433 =L= 0;

e686..    b389 - b434 =L= 0;

e687..  - b389 + b390 - b435 =L= 0;

e688..  - b389 - b390 + b391 - b436 =L= 0;

e689..    b392 - b437 =L= 0;

e690..  - b392 + b393 - b438 =L= 0;

e691..  - b392 - b393 + b394 - b439 =L= 0;

e692..    b395 - b440 =L= 0;

e693..  - b395 + b396 - b441 =L= 0;

e694..  - b395 - b396 + b397 - b442 =L= 0;

e695..    b398 - b443 =L= 0;

e696..  - b398 + b399 - b444 =L= 0;

e697..  - b398 - b399 + b400 - b445 =L= 0;

e698..    b401 - b446 =L= 0;

e699..  - b401 + b402 - b447 =L= 0;

e700..  - b401 - b402 + b403 - b448 =L= 0;

e701..    b404 - b449 =L= 0;

e702..  - b404 + b405 - b450 =L= 0;

e703..  - b404 - b405 + b406 - b451 =L= 0;

e704..    b407 - b452 =L= 0;

e705..  - b407 + b408 - b453 =L= 0;

e706..  - b407 - b408 + b409 - b454 =L= 0;

e707..    b365 + b368 =E= 1;

e708..    b366 + b369 =E= 1;

e709..    b367 + b370 =E= 1;

e710..  - b371 + b380 + b383 =G= 0;

e711..  - b372 + b381 + b384 =G= 0;

e712..  - b373 + b382 + b385 =G= 0;

e713..  - b380 + b398 =G= 0;

e714..  - b381 + b399 =G= 0;

e715..  - b382 + b400 =G= 0;

e716..  - b383 + b401 =G= 0;

e717..  - b384 + b402 =G= 0;

e718..  - b385 + b403 =G= 0;

e719..  - b374 + b386 =G= 0;

e720..  - b375 + b387 =G= 0;

e721..  - b376 + b388 =G= 0;

e722..  - b386 + b404 + b407 =G= 0;

e723..  - b387 + b405 + b408 =G= 0;

e724..  - b388 + b406 + b409 =G= 0;

e725..  - b377 + b389 + b392 + b395 =G= 0;

e726..  - b378 + b390 + b393 + b396 =G= 0;

e727..  - b379 + b391 + b394 + b397 =G= 0;

e728..  - b389 + b407 =G= 0;

e729..  - b390 + b408 =G= 0;

e730..  - b391 + b409 =G= 0;

e731..    b365 + b368 - b371 =G= 0;

e732..    b366 + b369 - b372 =G= 0;

e733..    b367 + b370 - b373 =G= 0;

e734..    b365 + b368 - b374 =G= 0;

e735..    b366 + b369 - b375 =G= 0;

e736..    b367 + b370 - b376 =G= 0;

e737..    b365 + b368 - b377 =G= 0;

e738..    b366 + b369 - b378 =G= 0;

e739..    b367 + b370 - b379 =G= 0;

e740..    b371 - b380 =G= 0;

e741..    b372 - b381 =G= 0;

e742..    b373 - b382 =G= 0;

e743..    b371 - b383 =G= 0;

e744..    b372 - b384 =G= 0;

e745..    b373 - b385 =G= 0;

e746..    b374 - b386 =G= 0;

e747..    b375 - b387 =G= 0;

e748..    b376 - b388 =G= 0;

e749..    b377 - b389 =G= 0;

e750..    b378 - b390 =G= 0;

e751..    b379 - b391 =G= 0;

e752..    b377 - b392 =G= 0;

e753..    b378 - b393 =G= 0;

e754..    b379 - b394 =G= 0;

e755..    b377 - b395 =G= 0;

e756..    b378 - b396 =G= 0;

e757..    b379 - b397 =G= 0;

e758..    b380 - b398 =G= 0;

e759..    b381 - b399 =G= 0;

e760..    b382 - b400 =G= 0;

e761..    b383 - b401 =G= 0;

e762..    b384 - b402 =G= 0;

e763..    b385 - b403 =G= 0;

e764..    b386 - b404 =G= 0;

e765..    b387 - b405 =G= 0;

e766..    b388 - b406 =G= 0;

e767..    b386 - b407 =G= 0;

e768..    b387 - b408 =G= 0;

e769..    b388 - b409 =G= 0;

* set non-default bounds
x47.up = 40;
x48.up = 40;
x49.up = 40;
x80.up = 30;
x81.up = 30;
x82.up = 30;
x131.up = 20;
x132.up = 20;
x133.up = 20;
x134.up = 20;
x135.up = 20;
x136.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: 2022-08-11 Git hash: f176bd52
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