MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Removed Instance rsyn0840h

Redesign of existing plants to increase throughput, reduce energy consumption, improve yields, and reduce waste generation. Given limited capital investments to make process improvements and cost estimations over a given time horizon, the problem is to identify the modifications that yield the highest economic improvement which is defined as the income from product sales minus the cost of raw materials, energy, and process modifications.
Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
325.55456210 p1 ( gdx sol )
(infeas: 7e-15)
Other points (infeas > 1e-08)  
Dual Bounds
325.72982570 (ALPHAECP)
325.55456240 (ANTIGONE)
325.55469090 (BARON)
325.55456210 (BONMIN)
325.55456210 (LINDO)
325.55477560 (SCIP)
326.71383150 (SHOT)
References Sawaya, Nicolas W, Reformulations, relaxations and cutting planes for generalized disjunctive programming, PhD thesis, Carnegie Mellon University, 2006.
Source RSyn0840H.gms from CMU-IBM MINLP solver project page
Application Retrofit Planning
Added to library 28 Sep 2013
Removed from library 16 Feb 2022
Removed because Superseded by rsyn0840hfsg.
Problem type MBNLP
#Variables 568
#Binary Variables 72
#Integer Variables 0
#Nonlinear Variables 80
#Nonlinear Binary Variables 26
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 101
#Nonlinear Nonzeros in Objective 0
#Constraints 837
#Linear Constraints 809
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 28
Operands in Gen. Nonlin. Functions div log mul
Constraints curvature convex
#Nonzeros in Jacobian 1892
#Nonlinear Nonzeros in Jacobian 84
#Nonzeros in (Upper-Left) Hessian of Lagrangian 162
#Nonzeros in Diagonal of Hessian of Lagrangian 54
#Blocks in Hessian of Lagrangian 26
Minimal blocksize in Hessian of Lagrangian 3
Maximal blocksize in Hessian of Lagrangian 4
Average blocksize in Hessian of Lagrangian 3.076923
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.0000e-06
Maximal coefficient 3.5000e+02
Infeasibility of initial point 1.4
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
*        838      389       60      389        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        569      497       72        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1994     1910       84        0
*
*  Solve m using MINLP maximizing objvar;


Variables  objvar,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18
          ,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35
          ,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52
          ,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69
          ,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86
          ,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102
          ,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115
          ,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128
          ,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141
          ,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154
          ,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167
          ,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180
          ,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193
          ,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206
          ,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219
          ,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232
          ,x233,x234,x235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245
          ,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258
          ,b259,b260,b261,b262,b263,b264,b265,b266,b267,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,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375
          ,x376,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388
          ,x389,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401
          ,x402,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414
          ,x415,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427
          ,x428,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440
          ,x441,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453
          ,x454,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466
          ,x467,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479
          ,x480,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492
          ,x493,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504,x505
          ,x506,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517,x518
          ,x519,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,b530,b531
          ,b532,b533,b534,b535,b536,b537,b538,b539,b540,b541,b542,b543,b544
          ,b545,b546,b547,b548,b549,b550,b551,b552,b553,b554,b555,b556,b557
          ,b558,b559,b560,b561,b562,b563,b564,b565,b566,b567,b568,b569;

Positive Variables  x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17
          ,x18,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34
          ,x35,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51
          ,x52,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68
          ,x69,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85
          ,x86,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101
          ,x102,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114
          ,x115,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127
          ,x128,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140
          ,x141,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153
          ,x154,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166
          ,x167,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179
          ,x180,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192
          ,x193,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205
          ,x206,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218
          ,x219,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231
          ,x232,x233,x234,x235,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,x365,x366,x367
          ,x368,x369,x370,x371,x372,x373,x374,x375,x376,x377,x378,x379,x380
          ,x381,x382,x383,x384,x385,x386,x387,x388,x389,x390,x391,x392,x393
          ,x394,x395,x396,x397,x398,x399,x400,x401,x402,x403,x404,x405,x406
          ,x407,x408,x409,x410,x411,x412,x413,x414,x415,x416,x417,x418,x419
          ,x420,x421,x422,x423,x424,x425,x426,x427,x428,x429,x430,x431,x432
          ,x433,x434,x435,x436,x437,x438,x439,x440,x441,x442,x443,x444,x445
          ,x446,x447,x448,x449,x450,x451,x452,x453,x454,x455,x456,x457,x458
          ,x459,x460,x461,x462,x463,x464,x465,x466,x467,x468,x469,x470,x471
          ,x472,x473,x474,x475,x476,x477,x478,x479,x480,x481,x482,x483,x484
          ,x485,x486,x487,x488,x489,x490,x491,x492,x493,x494,x495,x496,x497
          ,x498,x499,x500,x501,x502,x503,x504,x505,x506,x507,x508,x509,x510
          ,x511,x512,x513,x514,x515,x516,x517,x518,x519,x520,x521,x522,x523
          ,x524,x525,x526,x527,x528,x529;

Binary Variables  b236,b237,b238,b239,b240,b241,b242,b243,b244,b245,b246,b247
          ,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258,b259,b260
          ,b261,b262,b263,b264,b265,b266,b267,b530,b531,b532,b533,b534,b535
          ,b536,b537,b538,b539,b540,b541,b542,b543,b544,b545,b546,b547,b548
          ,b549,b550,b551,b552,b553,b554,b555,b556,b557,b558,b559,b560,b561
          ,b562,b563,b564,b565,b566,b567,b568,b569;

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,e770,e771,e772,e773,e774,e775,e776,e777,e778,e779
          ,e780,e781,e782,e783,e784,e785,e786,e787,e788,e789,e790,e791,e792
          ,e793,e794,e795,e796,e797,e798,e799,e800,e801,e802,e803,e804,e805
          ,e806,e807,e808,e809,e810,e811,e812,e813,e814,e815,e816,e817,e818
          ,e819,e820,e821,e822,e823,e824,e825,e826,e827,e828,e829,e830,e831
          ,e832,e833,e834,e835,e836,e837,e838;


e1..    objvar + 10*x2 + 15*x7 + 18*x11 + 19*x23 - 35*x27 - 28*x29 + 16*x30
      - 2*x33 - 3*x34 - 5*x35 - 4*x36 + 6*b237 + 40*b238 + 46*b239 + 7*b241
      + 30*b242 + 37*b243 + 7*b245 + 15*b246 + 22*b247 + 11*b249 + 13*b250
      + 24*b251 + 10*b253 + 13*b254 + 23*b255 + 9*b257 + 30*b258 + 39*b259
      + 8*b261 + 20*b262 + 28*b263 + 8*b265 + 15*b266 + 23*b267 + x268 - 5*x274
      + 2*x279 + 10*x296 + 5*x297 - 40*x304 - 15*x305 - 10*x306 - 30*x307
      - 35*x308 - 20*x309 - 25*x310 - 15*x311 - 30*x319 + x324 + 5*x341 + x342
      - 120*x349 - 140*x350 - 90*x351 - 80*x352 - 285*x353 - 290*x354
      - 280*x355 - 290*x356 - 350*x357 + 5*b530 + 8*b531 + 6*b532 + 10*b533
      + 6*b534 + 7*b535 + 4*b536 + 5*b537 + 2*b538 + 4*b539 + 3*b540 + 7*b541
      + 3*b542 + 2*b543 + 4*b544 + 2*b545 + 3*b546 + 5*b547 + 2*b548 + b549
      + 2*b550 + 9*b551 + 5*b552 + 2*b553 + 10*b554 + 4*b555 + 7*b556 + 4*b557
      + 2*b558 + 8*b559 + 9*b560 + 3*b561 + 5*b562 + 5*b563 + 6*b564 + 2*b565
      + 6*b566 + 3*b567 + 5*b568 + 9*b569 =E= 0;

e2..    x2 - 0.2*x37 =E= 0;

e3..    x3 - 0.2*x38 =E= 0;

e4..    x4 - 0.2*x39 =E= 0;

e5..    x5 - 0.2*x40 =E= 0;

e6..    x6 - 0.2*x41 =E= 0;

e7..    x7 - 0.5*x42 =E= 0;

e8..    x8 - 0.5*x43 =E= 0;

e9..    x9 - 0.7*x44 =E= 0;

e10..    x10 - 0.7*x45 =E= 0;

e11..    x11 - 1.2*x46 =E= 0;

e12..    x12 - 1.2*x47 =E= 0;

e13..    x13 - 0.5*x48 =E= 0;

e14..    x14 - 0.7*x49 =E= 0;

e15..    x15 - 1.2*x50 =E= 0;

e16..    x16 - 1.2*x51 =E= 0;

e17..    x17 - 1.2*x52 =E= 0;

e18..    x18 - 1.2*x53 =E= 0;

e19..    x19 - 0.3*x54 =E= 0;

e20..    x20 - 0.9*x55 =E= 0;

e21..    x21 - 0.3*x56 =E= 0;

e22..    x22 - 0.9*x57 =E= 0;

e23..    x23 - 0.4*x58 =E= 0;

e24..    x24 - 0.4*x59 =E= 0;

e25..    x25 - 0.4*x60 =E= 0;

e26..    x26 - 1.6*x61 =E= 0;

e27..    x27 - 1.6*x62 =E= 0;

e28..    x28 - 1.1*x63 =E= 0;

e29..    x29 - 1.1*x64 =E= 0;

e30..    x30 - 0.7*x65 =E= 0;

e31..    x31 - 0.7*x66 =E= 0;

e32..    x32 - 0.7*x67 =E= 0;

e33..    x33 - 0.2*x68 =E= 0;

e34..    x34 - 0.7*x69 =E= 0;

e35..    x35 - 0.3*x70 =E= 0;

e36..    x36 - 0.9*x71 =E= 0;

e37..    x27 =G= 1.2;

e38..    x29 =G= 1.2;

e39..    x33 =G= 1.1;

e40..    x34 =G= 1.1;

e41..    x35 =G= 1.4;

e42..    x36 =G= 1.3;

e43..    x2 =L= 35;

e44..    x7 =L= 36;

e45..    x11 =L= 25;

e46..    x23 =L= 24;

e47..    x30 =L= 30;

e48..    x2 - x3 - x4 =E= 0;

e49..    x5 - x6 =E= 0;

e50..    x7 - x8 + x13 =E= 0;

e51..    x9 - x10 + x14 =E= 0;

e52..    x11 - x12 - x15 =E= 0;

e53..    x16 - x17 - x18 =E= 0;

e54..    x19 - x21 =E= 0;

e55..    x20 - x22 =E= 0;

e56..    x23 - x24 - x25 =E= 0;

e57..    x26 - x27 =E= 0;

e58..    x28 - x29 =E= 0;

e59..    x30 - x31 =E= 0;

e60..    x3 - x5 - x72 =E= 0;

e61..    x4 + x8 - x9 - x73 =E= 0;

e62..    x12 - x13 - x14 - x74 =E= 0;

e63..    x15 - x16 - x75 =E= 0;

e64..    x18 - x19 - x20 - x76 =E= 0;

e65..    x17 + x24 - x26 - x77 =E= 0;

e66..    x25 - x28 + x32 - x78 =E= 0;

e67..    x31 - x32 - x79 =E= 0;

e68..    x39 - x43 =L= 0;

e69..    x52 - x59 =L= 0;

e70..    x60 - x67 =L= 0;

e71..    x40 - x140 - x141 - x142 - x143 =E= 0;

e72..    x38 - x132 - x133 - x134 - x135 =E= 0;

e73..    x44 - x144 - x145 - x146 - x147 =E= 0;

e74..    x39 - x136 - x137 - x138 - x139 =E= 0;

e75..    x48 - x152 - x153 - x154 - x155 =E= 0;

e76..    x49 - x156 - x157 - x158 - x159 =E= 0;

e77..    x47 - x148 - x149 - x150 - x151 =E= 0;

e78..    x51 - x164 - x165 - x166 - x167 =E= 0;

e79..    x50 - x160 - x161 - x162 - x163 =E= 0;

e80..    x54 - x176 - x177 - x178 - x179 =E= 0;

e81..    x55 - x180 - x181 - x182 - x183 =E= 0;

e82..    x53 - x172 - x173 - x174 - x175 =E= 0;

e83..    x61 - x188 - x189 - x190 - x191 =E= 0;

e84..    x52 - x168 - x169 - x170 - x171 =E= 0;

e85..    x63 - x192 - x193 - x194 - x195 =E= 0;

e86..    x60 - x184 - x185 - x186 - x187 =E= 0;

e87..    x67 - x200 - x201 - x202 - x203 =E= 0;

e88..    x66 - x196 - x197 - x198 - x199 =E= 0;

e89..    x140 - 148.75*b236 =L= 0;

e90..    x141 - 148.75*b237 =L= 0;

e91..    x142 - 148.75*b238 =L= 0;

e92..    x143 - 148.75*b239 =L= 0;

e93..    x144 - 254.045833333333*b240 =L= 0;

e94..    x145 - 254.045833333333*b241 =L= 0;

e95..    x146 - 254.045833333333*b242 =L= 0;

e96..    x147 - 254.045833333333*b243 =L= 0;

e97..    x152 - 20.4166666666667*b244 =L= 0;

e98..    x153 - 20.4166666666667*b245 =L= 0;

e99..    x154 - 20.4166666666667*b246 =L= 0;

e100..    x155 - 20.4166666666667*b247 =L= 0;

e101..    x156 - 20.4166666666667*b244 =L= 0;

e102..    x157 - 20.4166666666667*b245 =L= 0;

e103..    x158 - 20.4166666666667*b246 =L= 0;

e104..    x159 - 20.4166666666667*b247 =L= 0;

e105..    x164 - 18.75*b248 =L= 0;

e106..    x165 - 18.75*b249 =L= 0;

e107..    x166 - 18.75*b250 =L= 0;

e108..    x167 - 18.75*b251 =L= 0;

e109..    x176 - 17.8125*b252 =L= 0;

e110..    x177 - 17.8125*b253 =L= 0;

e111..    x178 - 17.8125*b254 =L= 0;

e112..    x179 - 17.8125*b255 =L= 0;

e113..    x180 - 17.8125*b252 =L= 0;

e114..    x181 - 17.8125*b253 =L= 0;

e115..    x182 - 17.8125*b254 =L= 0;

e116..    x183 - 17.8125*b255 =L= 0;

e117..    x188 - 66.9375*b256 =L= 0;

e118..    x189 - 66.9375*b257 =L= 0;

e119..    x190 - 66.9375*b258 =L= 0;

e120..    x191 - 66.9375*b259 =L= 0;

e121..    x192 - 94.4571428571429*b260 =L= 0;

e122..    x193 - 94.4571428571429*b261 =L= 0;

e123..    x194 - 94.4571428571429*b262 =L= 0;

e124..    x195 - 94.4571428571429*b263 =L= 0;

e125..    x200 - 39.4285714285714*b264 =L= 0;

e126..    x201 - 39.4285714285714*b265 =L= 0;

e127..    x202 - 39.4285714285714*b266 =L= 0;

e128..    x203 - 39.4285714285714*b267 =L= 0;

e129..    x132 - 175*b236 =L= 0;

e130..    x133 - 175*b237 =L= 0;

e131..    x134 - 175*b238 =L= 0;

e132..    x135 - 175*b239 =L= 0;

e133..    x136 - 175*b240 =L= 0;

e134..    x137 - 175*b241 =L= 0;

e135..    x138 - 175*b242 =L= 0;

e136..    x139 - 175*b243 =L= 0;

e137..    x148 - 20.8333333333333*b244 =L= 0;

e138..    x149 - 20.8333333333333*b245 =L= 0;

e139..    x150 - 20.8333333333333*b246 =L= 0;

e140..    x151 - 20.8333333333333*b247 =L= 0;

e141..    x160 - 20.8333333333333*b248 =L= 0;

e142..    x161 - 20.8333333333333*b249 =L= 0;

e143..    x162 - 20.8333333333333*b250 =L= 0;

e144..    x163 - 20.8333333333333*b251 =L= 0;

e145..    x172 - 18.75*b252 =L= 0;

e146..    x173 - 18.75*b253 =L= 0;

e147..    x174 - 18.75*b254 =L= 0;

e148..    x175 - 18.75*b255 =L= 0;

e149..    x168 - 18.75*b256 =L= 0;

e150..    x169 - 18.75*b257 =L= 0;

e151..    x170 - 18.75*b258 =L= 0;

e152..    x171 - 18.75*b259 =L= 0;

e153..    x184 - 60*b260 =L= 0;

e154..    x185 - 60*b261 =L= 0;

e155..    x186 - 60*b262 =L= 0;

e156..    x187 - 60*b263 =L= 0;

e157..    x196 - 42.8571428571429*b264 =L= 0;

e158..    x197 - 42.8571428571429*b265 =L= 0;

e159..    x198 - 42.8571428571429*b266 =L= 0;

e160..    x199 - 42.8571428571429*b267 =L= 0;

e161..  - 0.8*x132 + x140 =E= 0;

e162..  - 0.85*x133 + x141 =E= 0;

e163..  - 0.8*x134 + x142 =E= 0;

e164..  - 0.85*x135 + x143 =E= 0;

e165..  - 0.9*x136 + x144 =E= 0;

e166..  - 0.95*x137 + x145 =E= 0;

e167..  - 0.9*x138 + x146 =E= 0;

e168..  - 0.95*x139 + x147 =E= 0;

e169..  - 0.85*x148 + x152 =E= 0;

e170..  - 0.98*x149 + x153 =E= 0;

e171..  - 0.85*x150 + x154 =E= 0;

e172..  - 0.98*x151 + x155 =E= 0;

e173..  - 0.85*x148 + x156 =E= 0;

e174..  - 0.98*x149 + x157 =E= 0;

e175..  - 0.85*x150 + x158 =E= 0;

e176..  - 0.98*x151 + x159 =E= 0;

e177..  - 0.85*x160 + x164 =E= 0;

e178..  - 0.9*x161 + x165 =E= 0;

e179..  - 0.85*x162 + x166 =E= 0;

e180..  - 0.9*x163 + x167 =E= 0;

e181..  - 0.75*x172 + x176 =E= 0;

e182..  - 0.95*x173 + x177 =E= 0;

e183..  - 0.9*x174 + x178 =E= 0;

e184..  - 0.95*x175 + x179 =E= 0;

e185..  - 0.75*x172 + x180 =E= 0;

e186..  - 0.95*x173 + x181 =E= 0;

e187..  - 0.9*x174 + x182 =E= 0;

e188..  - 0.95*x175 + x183 =E= 0;

e189..  - 0.8*x168 + x188 =E= 0;

e190..  - 0.85*x169 + x189 =E= 0;

e191..  - 0.8*x170 + x190 =E= 0;

e192..  - 0.85*x171 + x191 =E= 0;

e193..  - 0.85*x184 + x192 =E= 0;

e194..  - 0.95*x185 + x193 =E= 0;

e195..  - 0.85*x186 + x194 =E= 0;

e196..  - 0.95*x187 + x195 =E= 0;

e197..  - 0.8*x196 + x200 =E= 0;

e198..  - 0.92*x197 + x201 =E= 0;

e199..  - 0.8*x198 + x202 =E= 0;

e200..  - 0.92*x199 + x203 =E= 0;

e201..    x3 - x88 - x89 - x90 - x91 =E= 0;

e202..    x4 - x92 - x93 - x94 - x95 =E= 0;

e203..    x8 - x96 - x97 - x98 - x99 =E= 0;

e204..    x12 - x100 - x101 - x102 - x103 =E= 0;

e205..    x15 - x104 - x105 - x106 - x107 =E= 0;

e206..    x18 - x112 - x113 - x114 - x115 =E= 0;

e207..    x17 - x108 - x109 - x110 - x111 =E= 0;

e208..    x24 - x116 - x117 - x118 - x119 =E= 0;

e209..    x25 - x120 - x121 - x122 - x123 =E= 0;

e210..    x32 - x128 - x129 - x130 - x131 =E= 0;

e211..    x31 - x124 - x125 - x126 - x127 =E= 0;

e212..    x88 - 35*b236 =L= 0;

e213..    x89 - 35*b237 =L= 0;

e214..    x90 - 35*b238 =L= 0;

e215..    x91 - 35*b239 =L= 0;

e216..    x92 - 35*b240 =L= 0;

e217..    x93 - 35*b241 =L= 0;

e218..    x94 - 35*b242 =L= 0;

e219..    x95 - 35*b243 =L= 0;

e220..    x96 - 61*b240 =L= 0;

e221..    x97 - 61*b241 =L= 0;

e222..    x98 - 61*b242 =L= 0;

e223..    x99 - 61*b243 =L= 0;

e224..    x100 - 25*b244 =L= 0;

e225..    x101 - 25*b245 =L= 0;

e226..    x102 - 25*b246 =L= 0;

e227..    x103 - 25*b247 =L= 0;

e228..    x104 - 25*b248 =L= 0;

e229..    x105 - 25*b249 =L= 0;

e230..    x106 - 25*b250 =L= 0;

e231..    x107 - 25*b251 =L= 0;

e232..    x112 - 25*b252 =L= 0;

e233..    x113 - 25*b253 =L= 0;

e234..    x114 - 25*b254 =L= 0;

e235..    x115 - 25*b255 =L= 0;

e236..    x108 - 25*b256 =L= 0;

e237..    x109 - 25*b257 =L= 0;

e238..    x110 - 25*b258 =L= 0;

e239..    x111 - 25*b259 =L= 0;

e240..    x116 - 24*b256 =L= 0;

e241..    x117 - 24*b257 =L= 0;

e242..    x118 - 24*b258 =L= 0;

e243..    x119 - 24*b259 =L= 0;

e244..    x120 - 24*b260 =L= 0;

e245..    x121 - 24*b261 =L= 0;

e246..    x122 - 24*b262 =L= 0;

e247..    x123 - 24*b263 =L= 0;

e248..    x128 - 30*b260 =L= 0;

e249..    x129 - 30*b261 =L= 0;

e250..    x130 - 30*b262 =L= 0;

e251..    x131 - 30*b263 =L= 0;

e252..    x124 - 30*b264 =L= 0;

e253..    x125 - 30*b265 =L= 0;

e254..    x126 - 30*b266 =L= 0;

e255..    x127 - 30*b267 =L= 0;

e256..    x88 - 10*b236 =L= 0;

e257..    x89 - 10*b237 =L= 0;

e258..    x90 - 50*b238 =L= 0;

e259..    x91 - 50*b239 =L= 0;

e260..    x92 + x96 - 40*b240 =L= 0;

e261..    x93 + x97 - 40*b241 =L= 0;

e262..    x94 + x98 - 60*b242 =L= 0;

e263..    x95 + x99 - 60*b243 =L= 0;

e264..    x100 - 15*b244 =L= 0;

e265..    x101 - 15*b245 =L= 0;

e266..    x102 - 25*b246 =L= 0;

e267..    x103 - 25*b247 =L= 0;

e268..    x104 - 15*b248 =L= 0;

e269..    x105 - 15*b249 =L= 0;

e270..    x106 - 20*b250 =L= 0;

e271..    x107 - 20*b251 =L= 0;

e272..    x112 - 10*b252 =L= 0;

e273..    x113 - 10*b253 =L= 0;

e274..    x114 - 20*b254 =L= 0;

e275..    x115 - 20*b255 =L= 0;

e276..    x108 + x116 - 20*b256 =L= 0;

e277..    x109 + x117 - 20*b257 =L= 0;

e278..    x110 + x118 - 55*b258 =L= 0;

e279..    x111 + x119 - 55*b259 =L= 0;

e280..    x120 + x128 - 25*b260 =L= 0;

e281..    x121 + x129 - 25*b261 =L= 0;

e282..    x122 + x130 - 50*b262 =L= 0;

e283..    x123 + x131 - 50*b263 =L= 0;

e284..    x124 - 15*b264 =L= 0;

e285..    x125 - 15*b265 =L= 0;

e286..    x126 - 35*b266 =L= 0;

e287..    x127 - 35*b267 =L= 0;

e288..    x80 - x204 - x205 - x206 - x207 =E= 0;

e289..    x81 - x208 - x209 - x210 - x211 =E= 0;

e290..    x82 - x212 - x213 - x214 - x215 =E= 0;

e291..    x83 - x216 - x217 - x218 - x219 =E= 0;

e292..    x84 - x220 - x221 - x222 - x223 =E= 0;

e293..    x85 - x224 - x225 - x226 - x227 =E= 0;

e294..    x86 - x228 - x229 - x230 - x231 =E= 0;

e295..    x87 - x232 - x233 - x234 - x235 =E= 0;

e296..    x204 =L= 0;

e297..    x205 - 6*b237 =L= 0;

e298..    x206 - 40*b238 =L= 0;

e299..    x207 - 46*b239 =L= 0;

e300..    x208 =L= 0;

e301..    x209 - 7*b241 =L= 0;

e302..    x210 - 30*b242 =L= 0;

e303..    x211 - 37*b243 =L= 0;

e304..    x212 =L= 0;

e305..    x213 - 7*b245 =L= 0;

e306..    x214 - 15*b246 =L= 0;

e307..    x215 - 22*b247 =L= 0;

e308..    x216 =L= 0;

e309..    x217 - 11*b249 =L= 0;

e310..    x218 - 13*b250 =L= 0;

e311..    x219 - 24*b251 =L= 0;

e312..    x220 =L= 0;

e313..    x221 - 10*b253 =L= 0;

e314..    x222 - 13*b254 =L= 0;

e315..    x223 - 23*b255 =L= 0;

e316..    x224 =L= 0;

e317..    x225 - 9*b257 =L= 0;

e318..    x226 - 30*b258 =L= 0;

e319..    x227 - 39*b259 =L= 0;

e320..    x228 =L= 0;

e321..    x229 - 8*b261 =L= 0;

e322..    x230 - 20*b262 =L= 0;

e323..    x231 - 28*b263 =L= 0;

e324..    x232 =L= 0;

e325..    x233 - 8*b265 =L= 0;

e326..    x234 - 15*b266 =L= 0;

e327..    x235 - 23*b267 =L= 0;

e328..    x204 =E= 0;

e329..    x205 - 6*b237 =E= 0;

e330..    x206 - 40*b238 =E= 0;

e331..    x207 - 46*b239 =E= 0;

e332..    x208 =E= 0;

e333..    x209 - 7*b241 =E= 0;

e334..    x210 - 30*b242 =E= 0;

e335..    x211 - 37*b243 =E= 0;

e336..    x212 =E= 0;

e337..    x213 - 7*b245 =E= 0;

e338..    x214 - 15*b246 =E= 0;

e339..    x215 - 22*b247 =E= 0;

e340..    x216 =E= 0;

e341..    x217 - 11*b249 =E= 0;

e342..    x218 - 13*b250 =E= 0;

e343..    x219 - 24*b251 =E= 0;

e344..    x220 =E= 0;

e345..    x221 - 10*b253 =E= 0;

e346..    x222 - 13*b254 =E= 0;

e347..    x223 - 23*b255 =E= 0;

e348..    x224 =E= 0;

e349..    x225 - 9*b257 =E= 0;

e350..    x226 - 30*b258 =E= 0;

e351..    x227 - 39*b259 =E= 0;

e352..    x228 =E= 0;

e353..    x229 - 8*b261 =E= 0;

e354..    x230 - 20*b262 =E= 0;

e355..    x231 - 28*b263 =E= 0;

e356..    x232 =E= 0;

e357..    x233 - 8*b265 =E= 0;

e358..    x234 - 15*b266 =E= 0;

e359..    x235 - 23*b267 =E= 0;

e360..    10*x2 + 15*x7 + 18*x11 + 19*x23 + 16*x30 + x80 + x81 + x82 + x83
        + x84 + x85 + x86 + x87 =L= 4000;

e361..    b236 + b237 + b238 + b239 =E= 1;

e362..    b240 + b241 + b242 + b243 =E= 1;

e363..    b244 + b245 + b246 + b247 =E= 1;

e364..    b248 + b249 + b250 + b251 =E= 1;

e365..    b252 + b253 + b254 + b255 =E= 1;

e366..    b256 + b257 + b258 + b259 =E= 1;

e367..    b260 + b261 + b262 + b263 =E= 1;

e368..    b264 + b265 + b266 + b267 =E= 1;

e369..    x6 - x33 - x268 =E= 0;

e370..    x10 - x34 - x279 =E= 0;

e371..    x21 - x35 - x296 =E= 0;

e372..    x22 - x36 - x297 =E= 0;

e373..    x268 - x269 - x270 =E= 0;

e374..  - x271 - x272 + x273 =E= 0;

e375..    x273 - x274 - x275 =E= 0;

e376..    x275 - x276 - x277 - x278 =E= 0;

e377..    x280 - x283 - x284 =E= 0;

e378..    x282 - x285 - x286 - x287 =E= 0;

e379..    x290 - x294 - x295 =E= 0;

e380..  - x291 - x297 + x298 =E= 0;

e381..    x292 - x299 - x300 =E= 0;

e382..    x293 - x301 - x302 - x303 =E= 0;

e383..    x312 - x313 =E= 0;

e384..    x313 - x314 - x315 =E= 0;

e385..  - x316 - x317 + x318 =E= 0;

e386..    x318 - x319 - x320 =E= 0;

e387..    x320 - x321 - x322 - x323 =E= 0;

e388..    x325 - x328 - x329 =E= 0;

e389..    x327 - x330 - x331 - x332 =E= 0;

e390..    x335 - x339 - x340 =E= 0;

e391..  - x336 - x342 + x343 =E= 0;

e392..    x337 - x344 - x345 =E= 0;

e393..    x338 - x346 - x347 - x348 =E= 0;

e394.. (x362/(1e-6 + b530) - log(1 + x358/(1e-6 + b530)))*(1e-6 + b530) =L= 0;

e395..    x359 =E= 0;

e396..    x363 =E= 0;

e397..    x269 - x358 - x359 =E= 0;

e398..    x271 - x362 - x363 =E= 0;

e399..    x358 - 40*b530 =L= 0;

e400..    x359 + 40*b530 =L= 40;

e401..    x362 - 3.71357206670431*b530 =L= 0;

e402..    x363 + 3.71357206670431*b530 =L= 3.71357206670431;

e403.. (x364/(1e-6 + b531) - 1.2*log(1 + x360/(1e-6 + b531)))*(1e-6 + b531)
        =L= 0;

e404..    x361 =E= 0;

e405..    x365 =E= 0;

e406..    x270 - x360 - x361 =E= 0;

e407..    x272 - x364 - x365 =E= 0;

e408..    x360 - 40*b531 =L= 0;

e409..    x361 + 40*b531 =L= 40;

e410..    x364 - 4.45628648004517*b531 =L= 0;

e411..    x365 + 4.45628648004517*b531 =L= 4.45628648004517;

e412..  - 0.75*x366 + x374 =E= 0;

e413..    x367 =E= 0;

e414..    x375 =E= 0;

e415..    x276 - x366 - x367 =E= 0;

e416..    x280 - x374 - x375 =E= 0;

e417..    x366 - 4.45628648004517*b532 =L= 0;

e418..    x367 + 4.45628648004517*b532 =L= 4.45628648004517;

e419..    x374 - 3.34221486003388*b532 =L= 0;

e420..    x375 + 3.34221486003388*b532 =L= 3.34221486003388;

e421.. (x376/(1e-6 + b533) - 1.5*log(1 + x368/(1e-6 + b533)))*(1e-6 + b533)
        =L= 0;

e422..    x369 =E= 0;

e423..    x378 =E= 0;

e424..    x277 - x368 - x369 =E= 0;

e425..    x281 - x376 - x378 =E= 0;

e426..    x368 - 4.45628648004517*b533 =L= 0;

e427..    x369 + 4.45628648004517*b533 =L= 4.45628648004517;

e428..    x376 - 2.54515263975353*b533 =L= 0;

e429..    x378 + 2.54515263975353*b533 =L= 2.54515263975353;

e430..  - x370 + x380 =E= 0;

e431..  - 0.5*x372 + x380 =E= 0;

e432..    x371 =E= 0;

e433..    x373 =E= 0;

e434..    x381 =E= 0;

e435..    x278 - x370 - x371 =E= 0;

e436..    x279 - x372 - x373 =E= 0;

e437..    x282 - x380 - x381 =E= 0;

e438..    x370 - 4.45628648004517*b534 =L= 0;

e439..    x371 + 4.45628648004517*b534 =L= 4.45628648004517;

e440..    x372 - 30*b534 =L= 0;

e441..    x373 + 30*b534 =L= 30;

e442..    x380 - 15*b534 =L= 0;

e443..    x381 + 15*b534 =L= 15;

e444.. (x392/(1e-6 + b535) - 1.25*log(1 + x382/(1e-6 + b535)))*(1e-6 + b535)
        =L= 0;

e445..    x383 =E= 0;

e446..    x394 =E= 0;

e447..    x283 - x382 - x383 =E= 0;

e448..    x288 - x392 - x394 =E= 0;

e449..    x382 - 3.34221486003388*b535 =L= 0;

e450..    x383 + 3.34221486003388*b535 =L= 3.34221486003388;

e451..    x392 - 1.83548069293539*b535 =L= 0;

e452..    x394 + 1.83548069293539*b535 =L= 1.83548069293539;

e453.. (x396/(1e-6 + b536) - 0.9*log(1 + x384/(1e-6 + b536)))*(1e-6 + b536)
        =L= 0;

e454..    x385 =E= 0;

e455..    x398 =E= 0;

e456..    x284 - x384 - x385 =E= 0;

e457..    x289 - x396 - x398 =E= 0;

e458..    x384 - 3.34221486003388*b536 =L= 0;

e459..    x385 + 3.34221486003388*b536 =L= 3.34221486003388;

e460..    x396 - 1.32154609891348*b536 =L= 0;

e461..    x398 + 1.32154609891348*b536 =L= 1.32154609891348;

e462.. (x400/(1e-6 + b537) - log(1 + x377/(1e-6 + b537)))*(1e-6 + b537) =L= 0;

e463..    x379 =E= 0;

e464..    x401 =E= 0;

e465..    x281 - x377 - x379 =E= 0;

e466..    x290 - x400 - x401 =E= 0;

e467..    x377 - 2.54515263975353*b537 =L= 0;

e468..    x379 + 2.54515263975353*b537 =L= 2.54515263975353;

e469..    x400 - 1.26558121681553*b537 =L= 0;

e470..    x401 + 1.26558121681553*b537 =L= 1.26558121681553;

e471..  - 0.9*x386 + x402 =E= 0;

e472..    x387 =E= 0;

e473..    x403 =E= 0;

e474..    x285 - x386 - x387 =E= 0;

e475..    x291 - x402 - x403 =E= 0;

e476..    x386 - 15*b538 =L= 0;

e477..    x387 + 15*b538 =L= 15;

e478..    x402 - 13.5*b538 =L= 0;

e479..    x403 + 13.5*b538 =L= 13.5;

e480..  - 0.6*x388 + x404 =E= 0;

e481..    x389 =E= 0;

e482..    x405 =E= 0;

e483..    x286 - x388 - x389 =E= 0;

e484..    x292 - x404 - x405 =E= 0;

e485..    x388 - 15*b539 =L= 0;

e486..    x389 + 15*b539 =L= 15;

e487..    x404 - 9*b539 =L= 0;

e488..    x405 + 9*b539 =L= 9;

e489.. (x406/(1e-6 + b540) - 1.1*log(1 + x390/(1e-6 + b540)))*(1e-6 + b540)
        =L= 0;

e490..    x391 =E= 0;

e491..    x407 =E= 0;

e492..    x287 - x390 - x391 =E= 0;

e493..    x293 - x406 - x407 =E= 0;

e494..    x390 - 15*b540 =L= 0;

e495..    x391 + 15*b540 =L= 15;

e496..    x406 - 3.04984759446376*b540 =L= 0;

e497..    x407 + 3.04984759446376*b540 =L= 3.04984759446376;

e498..  - 0.9*x393 + x426 =E= 0;

e499..  - x412 + x426 =E= 0;

e500..    x395 =E= 0;

e501..    x413 =E= 0;

e502..    x427 =E= 0;

e503..    x288 - x393 - x395 =E= 0;

e504..    x296 - x412 - x413 =E= 0;

e505..    x304 - x426 - x427 =E= 0;

e506..    x393 - 1.83548069293539*b541 =L= 0;

e507..    x395 + 1.83548069293539*b541 =L= 1.83548069293539;

e508..    x412 - 20*b541 =L= 0;

e509..    x413 + 20*b541 =L= 20;

e510..    x426 - 20*b541 =L= 0;

e511..    x427 + 20*b541 =L= 20;

e512.. (x428/(1e-6 + b542) - log(1 + x397/(1e-6 + b542)))*(1e-6 + b542) =L= 0;

e513..    x399 =E= 0;

e514..    x429 =E= 0;

e515..    x289 - x397 - x399 =E= 0;

e516..    x305 - x428 - x429 =E= 0;

e517..    x397 - 1.32154609891348*b542 =L= 0;

e518..    x399 + 1.32154609891348*b542 =L= 1.32154609891348;

e519..    x428 - 0.842233385663186*b542 =L= 0;

e520..    x429 + 0.842233385663186*b542 =L= 0.842233385663186;

e521.. (x430/(1e-6 + b543) - 0.7*log(1 + x408/(1e-6 + b543)))*(1e-6 + b543)
        =L= 0;

e522..    x409 =E= 0;

e523..    x431 =E= 0;

e524..    x294 - x408 - x409 =E= 0;

e525..    x306 - x430 - x431 =E= 0;

e526..    x408 - 1.26558121681553*b543 =L= 0;

e527..    x409 + 1.26558121681553*b543 =L= 1.26558121681553;

e528..    x430 - 0.572481933717686*b543 =L= 0;

e529..    x431 + 0.572481933717686*b543 =L= 0.572481933717686;

e530.. (x432/(1e-6 + b544) - 0.65*log(1 + x410/(1e-6 + b544)))*(1e-6 + b544)
        =L= 0;

e531.. (x432/(1e-6 + b544) - 0.65*log(1 + x414/(1e-6 + b544)))*(1e-6 + b544)
        =L= 0;

e532..    x411 =E= 0;

e533..    x415 =E= 0;

e534..    x433 =E= 0;

e535..    x295 - x410 - x411 =E= 0;

e536..    x298 - x414 - x415 =E= 0;

e537..    x307 - x432 - x433 =E= 0;

e538..    x410 - 1.26558121681553*b544 =L= 0;

e539..    x411 + 1.26558121681553*b544 =L= 1.26558121681553;

e540..    x414 - 33.5*b544 =L= 0;

e541..    x415 + 33.5*b544 =L= 33.5;

e542..    x432 - 2.30162356062425*b544 =L= 0;

e543..    x433 + 2.30162356062425*b544 =L= 2.30162356062425;

e544..  - x416 + x434 =E= 0;

e545..    x417 =E= 0;

e546..    x435 =E= 0;

e547..    x299 - x416 - x417 =E= 0;

e548..    x308 - x434 - x435 =E= 0;

e549..    x416 - 9*b545 =L= 0;

e550..    x417 + 9*b545 =L= 9;

e551..    x434 - 9*b545 =L= 0;

e552..    x435 + 9*b545 =L= 9;

e553..  - x418 + x436 =E= 0;

e554..    x419 =E= 0;

e555..    x437 =E= 0;

e556..    x300 - x418 - x419 =E= 0;

e557..    x309 - x436 - x437 =E= 0;

e558..    x418 - 9*b546 =L= 0;

e559..    x419 + 9*b546 =L= 9;

e560..    x436 - 9*b546 =L= 0;

e561..    x437 + 9*b546 =L= 9;

e562.. (x438/(1e-6 + b547) - 0.75*log(1 + x420/(1e-6 + b547)))*(1e-6 + b547)
        =L= 0;

e563..    x421 =E= 0;

e564..    x439 =E= 0;

e565..    x301 - x420 - x421 =E= 0;

e566..    x310 - x438 - x439 =E= 0;

e567..    x420 - 3.04984759446376*b547 =L= 0;

e568..    x421 + 3.04984759446376*b547 =L= 3.04984759446376;

e569..    x438 - 1.04900943706034*b547 =L= 0;

e570..    x439 + 1.04900943706034*b547 =L= 1.04900943706034;

e571.. (x440/(1e-6 + b548) - 0.8*log(1 + x422/(1e-6 + b548)))*(1e-6 + b548)
        =L= 0;

e572..    x423 =E= 0;

e573..    x441 =E= 0;

e574..    x302 - x422 - x423 =E= 0;

e575..    x311 - x440 - x441 =E= 0;

e576..    x422 - 3.04984759446376*b548 =L= 0;

e577..    x423 + 3.04984759446376*b548 =L= 3.04984759446376;

e578..    x440 - 1.11894339953103*b548 =L= 0;

e579..    x441 + 1.11894339953103*b548 =L= 1.11894339953103;

e580.. (x442/(1e-6 + b549) - 0.85*log(1 + x424/(1e-6 + b549)))*(1e-6 + b549)
        =L= 0;

e581..    x425 =E= 0;

e582..    x443 =E= 0;

e583..    x303 - x424 - x425 =E= 0;

e584..    x312 - x442 - x443 =E= 0;

e585..    x424 - 3.04984759446376*b549 =L= 0;

e586..    x425 + 3.04984759446376*b549 =L= 3.04984759446376;

e587..    x442 - 1.18887736200171*b549 =L= 0;

e588..    x443 + 1.18887736200171*b549 =L= 1.18887736200171;

e589.. (x448/(1e-6 + b550) - log(1 + x444/(1e-6 + b550)))*(1e-6 + b550) =L= 0;

e590..    x445 =E= 0;

e591..    x449 =E= 0;

e592..    x314 - x444 - x445 =E= 0;

e593..    x316 - x448 - x449 =E= 0;

e594..    x444 - 1.18887736200171*b550 =L= 0;

e595..    x445 + 1.18887736200171*b550 =L= 1.18887736200171;

e596..    x448 - 0.78338879230327*b550 =L= 0;

e597..    x449 + 0.78338879230327*b550 =L= 0.78338879230327;

e598.. (x450/(1e-6 + b551) - 1.2*log(1 + x446/(1e-6 + b551)))*(1e-6 + b551)
        =L= 0;

e599..    x447 =E= 0;

e600..    x451 =E= 0;

e601..    x315 - x446 - x447 =E= 0;

e602..    x317 - x450 - x451 =E= 0;

e603..    x446 - 1.18887736200171*b551 =L= 0;

e604..    x447 + 1.18887736200171*b551 =L= 1.18887736200171;

e605..    x450 - 0.940066550763924*b551 =L= 0;

e606..    x451 + 0.940066550763924*b551 =L= 0.940066550763924;

e607..  - 0.75*x452 + x460 =E= 0;

e608..    x453 =E= 0;

e609..    x461 =E= 0;

e610..    x321 - x452 - x453 =E= 0;

e611..    x325 - x460 - x461 =E= 0;

e612..    x452 - 0.940066550763924*b552 =L= 0;

e613..    x453 + 0.940066550763924*b552 =L= 0.940066550763924;

e614..    x460 - 0.705049913072943*b552 =L= 0;

e615..    x461 + 0.705049913072943*b552 =L= 0.705049913072943;

e616.. (x462/(1e-6 + b553) - 1.5*log(1 + x454/(1e-6 + b553)))*(1e-6 + b553)
        =L= 0;

e617..    x455 =E= 0;

e618..    x464 =E= 0;

e619..    x322 - x454 - x455 =E= 0;

e620..    x326 - x462 - x464 =E= 0;

e621..    x454 - 0.940066550763924*b553 =L= 0;

e622..    x455 + 0.940066550763924*b553 =L= 0.940066550763924;

e623..    x462 - 0.994083415506506*b553 =L= 0;

e624..    x464 + 0.994083415506506*b553 =L= 0.994083415506506;

e625..  - x456 + x466 =E= 0;

e626..  - 0.5*x458 + x466 =E= 0;

e627..    x457 =E= 0;

e628..    x459 =E= 0;

e629..    x467 =E= 0;

e630..    x323 - x456 - x457 =E= 0;

e631..    x324 - x458 - x459 =E= 0;

e632..    x327 - x466 - x467 =E= 0;

e633..    x456 - 0.940066550763924*b554 =L= 0;

e634..    x457 + 0.940066550763924*b554 =L= 0.940066550763924;

e635..    x458 - 30*b554 =L= 0;

e636..    x459 + 30*b554 =L= 30;

e637..    x466 - 15*b554 =L= 0;

e638..    x467 + 15*b554 =L= 15;

e639.. (x478/(1e-6 + b555) - 1.25*log(1 + x468/(1e-6 + b555)))*(1e-6 + b555)
        =L= 0;

e640..    x469 =E= 0;

e641..    x480 =E= 0;

e642..    x328 - x468 - x469 =E= 0;

e643..    x333 - x478 - x480 =E= 0;

e644..    x468 - 0.705049913072943*b555 =L= 0;

e645..    x469 + 0.705049913072943*b555 =L= 0.705049913072943;

e646..    x478 - 0.666992981045719*b555 =L= 0;

e647..    x480 + 0.666992981045719*b555 =L= 0.666992981045719;

e648.. (x482/(1e-6 + b556) - 0.9*log(1 + x470/(1e-6 + b556)))*(1e-6 + b556)
        =L= 0;

e649..    x471 =E= 0;

e650..    x484 =E= 0;

e651..    x329 - x470 - x471 =E= 0;

e652..    x334 - x482 - x484 =E= 0;

e653..    x470 - 0.705049913072943*b556 =L= 0;

e654..    x471 + 0.705049913072943*b556 =L= 0.705049913072943;

e655..    x482 - 0.480234946352917*b556 =L= 0;

e656..    x484 + 0.480234946352917*b556 =L= 0.480234946352917;

e657.. (x486/(1e-6 + b557) - log(1 + x463/(1e-6 + b557)))*(1e-6 + b557) =L= 0;

e658..    x465 =E= 0;

e659..    x487 =E= 0;

e660..    x326 - x463 - x465 =E= 0;

e661..    x335 - x486 - x487 =E= 0;

e662..    x463 - 0.994083415506506*b557 =L= 0;

e663..    x465 + 0.994083415506506*b557 =L= 0.994083415506506;

e664..    x486 - 0.690184503917672*b557 =L= 0;

e665..    x487 + 0.690184503917672*b557 =L= 0.690184503917672;

e666..  - 0.9*x472 + x488 =E= 0;

e667..    x473 =E= 0;

e668..    x489 =E= 0;

e669..    x330 - x472 - x473 =E= 0;

e670..    x336 - x488 - x489 =E= 0;

e671..    x472 - 15*b558 =L= 0;

e672..    x473 + 15*b558 =L= 15;

e673..    x488 - 13.5*b558 =L= 0;

e674..    x489 + 13.5*b558 =L= 13.5;

e675..  - 0.6*x474 + x490 =E= 0;

e676..    x475 =E= 0;

e677..    x491 =E= 0;

e678..    x331 - x474 - x475 =E= 0;

e679..    x337 - x490 - x491 =E= 0;

e680..    x474 - 15*b559 =L= 0;

e681..    x475 + 15*b559 =L= 15;

e682..    x490 - 9*b559 =L= 0;

e683..    x491 + 9*b559 =L= 9;

e684.. (x492/(1e-6 + b560) - 1.1*log(1 + x476/(1e-6 + b560)))*(1e-6 + b560)
        =L= 0;

e685..    x477 =E= 0;

e686..    x493 =E= 0;

e687..    x332 - x476 - x477 =E= 0;

e688..    x338 - x492 - x493 =E= 0;

e689..    x476 - 15*b560 =L= 0;

e690..    x477 + 15*b560 =L= 15;

e691..    x492 - 3.04984759446376*b560 =L= 0;

e692..    x493 + 3.04984759446376*b560 =L= 3.04984759446376;

e693..  - 0.9*x479 + x512 =E= 0;

e694..  - x498 + x512 =E= 0;

e695..    x481 =E= 0;

e696..    x499 =E= 0;

e697..    x513 =E= 0;

e698..    x333 - x479 - x481 =E= 0;

e699..    x341 - x498 - x499 =E= 0;

e700..    x349 - x512 - x513 =E= 0;

e701..    x479 - 0.666992981045719*b561 =L= 0;

e702..    x481 + 0.666992981045719*b561 =L= 0.666992981045719;

e703..    x498 - 25*b561 =L= 0;

e704..    x499 + 25*b561 =L= 25;

e705..    x512 - 25*b561 =L= 0;

e706..    x513 + 25*b561 =L= 25;

e707.. (x514/(1e-6 + b562) - log(1 + x483/(1e-6 + b562)))*(1e-6 + b562) =L= 0;

e708..    x485 =E= 0;

e709..    x515 =E= 0;

e710..    x334 - x483 - x485 =E= 0;

e711..    x350 - x514 - x515 =E= 0;

e712..    x483 - 0.480234946352917*b562 =L= 0;

e713..    x485 + 0.480234946352917*b562 =L= 0.480234946352917;

e714..    x514 - 0.392200822712722*b562 =L= 0;

e715..    x515 + 0.392200822712722*b562 =L= 0.392200822712722;

e716.. (x516/(1e-6 + b563) - 0.7*log(1 + x494/(1e-6 + b563)))*(1e-6 + b563)
        =L= 0;

e717..    x495 =E= 0;

e718..    x517 =E= 0;

e719..    x339 - x494 - x495 =E= 0;

e720..    x351 - x516 - x517 =E= 0;

e721..    x494 - 0.690184503917672*b563 =L= 0;

e722..    x495 + 0.690184503917672*b563 =L= 0.690184503917672;

e723..    x516 - 0.367386387824208*b563 =L= 0;

e724..    x517 + 0.367386387824208*b563 =L= 0.367386387824208;

e725.. (x518/(1e-6 + b564) - 0.65*log(1 + x496/(1e-6 + b564)))*(1e-6 + b564)
        =L= 0;

e726.. (x518/(1e-6 + b564) - 0.65*log(1 + x500/(1e-6 + b564)))*(1e-6 + b564)
        =L= 0;

e727..    x497 =E= 0;

e728..    x501 =E= 0;

e729..    x519 =E= 0;

e730..    x340 - x496 - x497 =E= 0;

e731..    x343 - x500 - x501 =E= 0;

e732..    x352 - x518 - x519 =E= 0;

e733..    x496 - 0.690184503917672*b564 =L= 0;

e734..    x497 + 0.690184503917672*b564 =L= 0.690184503917672;

e735..    x500 - 38.5*b564 =L= 0;

e736..    x501 + 38.5*b564 =L= 38.5;

e737..    x518 - 2.3895954367396*b564 =L= 0;

e738..    x519 + 2.3895954367396*b564 =L= 2.3895954367396;

e739..  - x502 + x520 =E= 0;

e740..    x503 =E= 0;

e741..    x521 =E= 0;

e742..    x344 - x502 - x503 =E= 0;

e743..    x353 - x520 - x521 =E= 0;

e744..    x502 - 9*b565 =L= 0;

e745..    x503 + 9*b565 =L= 9;

e746..    x520 - 9*b565 =L= 0;

e747..    x521 + 9*b565 =L= 9;

e748..  - x504 + x522 =E= 0;

e749..    x505 =E= 0;

e750..    x523 =E= 0;

e751..    x345 - x504 - x505 =E= 0;

e752..    x354 - x522 - x523 =E= 0;

e753..    x504 - 9*b566 =L= 0;

e754..    x505 + 9*b566 =L= 9;

e755..    x522 - 9*b566 =L= 0;

e756..    x523 + 9*b566 =L= 9;

e757.. (x524/(1e-6 + b567) - 0.75*log(1 + x506/(1e-6 + b567)))*(1e-6 + b567)
        =L= 0;

e758..    x507 =E= 0;

e759..    x525 =E= 0;

e760..    x346 - x506 - x507 =E= 0;

e761..    x355 - x524 - x525 =E= 0;

e762..    x506 - 3.04984759446376*b567 =L= 0;

e763..    x507 + 3.04984759446376*b567 =L= 3.04984759446376;

e764..    x524 - 1.04900943706034*b567 =L= 0;

e765..    x525 + 1.04900943706034*b567 =L= 1.04900943706034;

e766.. (x526/(1e-6 + b568) - 0.8*log(1 + x508/(1e-6 + b568)))*(1e-6 + b568)
        =L= 0;

e767..    x509 =E= 0;

e768..    x527 =E= 0;

e769..    x347 - x508 - x509 =E= 0;

e770..    x356 - x526 - x527 =E= 0;

e771..    x508 - 3.04984759446376*b568 =L= 0;

e772..    x509 + 3.04984759446376*b568 =L= 3.04984759446376;

e773..    x526 - 1.11894339953103*b568 =L= 0;

e774..    x527 + 1.11894339953103*b568 =L= 1.11894339953103;

e775.. (x528/(1e-6 + b569) - 0.85*log(1 + x510/(1e-6 + b569)))*(1e-6 + b569)
        =L= 0;

e776..    x511 =E= 0;

e777..    x529 =E= 0;

e778..    x348 - x510 - x511 =E= 0;

e779..    x357 - x528 - x529 =E= 0;

e780..    x510 - 3.04984759446376*b569 =L= 0;

e781..    x511 + 3.04984759446376*b569 =L= 3.04984759446376;

e782..    x528 - 1.18887736200171*b569 =L= 0;

e783..    x529 + 1.18887736200171*b569 =L= 1.18887736200171;

e784..    b530 + b531 =E= 1;

e785..  - b532 + b535 + b536 =G= 0;

e786..  - b535 + b541 =G= 0;

e787..  - b536 + b542 =G= 0;

e788..  - b533 + b537 =G= 0;

e789..  - b537 + b543 + b544 =G= 0;

e790..  - b534 + b538 + b539 + b540 =G= 0;

e791..  - b538 + b544 =G= 0;

e792..  - b539 + b545 + b546 =G= 0;

e793..  - b540 + b547 + b548 + b549 =G= 0;

e794..    b532 - b535 =G= 0;

e795..    b532 - b536 =G= 0;

e796..    b533 - b537 =G= 0;

e797..    b534 - b538 =G= 0;

e798..    b534 - b539 =G= 0;

e799..    b534 - b540 =G= 0;

e800..    b535 - b541 =G= 0;

e801..    b536 - b542 =G= 0;

e802..    b537 - b543 =G= 0;

e803..    b537 - b544 =G= 0;

e804..    b539 - b545 =G= 0;

e805..    b539 - b546 =G= 0;

e806..    b540 - b547 =G= 0;

e807..    b540 - b548 =G= 0;

e808..    b540 - b549 =G= 0;

e809..  - b549 + b550 + b551 =G= 0;

e810..  - b552 + b555 + b556 =G= 0;

e811..  - b555 + b561 =G= 0;

e812..  - b556 + b562 =G= 0;

e813..  - b553 + b557 =G= 0;

e814..  - b557 + b563 + b564 =G= 0;

e815..  - b554 + b558 + b559 + b560 =G= 0;

e816..  - b558 + b564 =G= 0;

e817..  - b559 + b565 + b566 =G= 0;

e818..  - b560 + b567 + b568 + b569 =G= 0;

e819..    b552 - b555 =G= 0;

e820..    b552 - b556 =G= 0;

e821..    b555 - b561 =G= 0;

e822..    b556 - b562 =G= 0;

e823..    b553 - b557 =G= 0;

e824..    b557 - b563 =G= 0;

e825..    b557 - b564 =G= 0;

e826..    b554 - b558 =G= 0;

e827..    b554 - b559 =G= 0;

e828..    b554 - b560 =G= 0;

e829..    b559 - b565 =G= 0;

e830..    b559 - b566 =G= 0;

e831..    b560 - b567 =G= 0;

e832..    b560 - b568 =G= 0;

e833..    b560 - b569 =G= 0;

e834..    b530 + b531 - b532 =G= 0;

e835..    b530 + b531 - b533 =G= 0;

e836..    b530 + b531 - b534 =G= 0;

e837..    b549 - b550 =G= 0;

e838..    b549 - b551 =G= 0;

* set non-default bounds
x268.up = 40;
x279.up = 30;
x296.up = 20;
x297.up = 20;
x324.up = 30;
x341.up = 25;
x342.up = 25;

Model m / all /;

m.limrow=0; m.limcol=0;
m.tolproj=0.0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% maximizing objvar;


Last updated: 2022-08-11 Git hash: f176bd52
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