MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance rsyn0830hfsg

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.
Equivalent perspective reformulation of rsyn0830.
Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
510.07202250 p1 ( gdx sol )
(infeas: 3e-15)
Other points (infeas > 1e-08)  
Dual Bounds
510.10584460 (ALPHAECP)
511.17434820 (ANTIGONE)
510.07202750 (BARON)
510.07202250 (BONMIN)
880.51822330 (COUENNE)
510.07202250 (LINDO)
510.07217940 (SCIP)
510.07252790 (SHOT)
References Sawaya, Nicolas W, Reformulations, relaxations and cutting planes for generalized disjunctive programming, PhD thesis, Carnegie Mellon University, 2006.
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 Retrofit Planning
Added to library 25 Sep 2019
Problem type MBNLP
#Variables 494
#Binary Variables 62
#Integer Variables 0
#Nonlinear Variables 58
#Nonlinear Binary Variables 19
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 86
#Nonlinear Nonzeros in Objective 0
#Constraints 716
#Linear Constraints 696
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 20
Operands in Gen. Nonlin. Functions div log mul
Constraints curvature convex
#Nonzeros in Jacobian 1631
#Nonlinear Nonzeros in Jacobian 60
#Nonzeros in (Upper-Left) Hessian of Lagrangian 117
#Nonzeros in Diagonal of Hessian of Lagrangian 39
#Blocks in Hessian of Lagrangian 19
Minimal blocksize in Hessian of Lagrangian 3
Maximal blocksize in Hessian of Lagrangian 4
Average blocksize in Hessian of Lagrangian 3.052632
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.0000e-03
Maximal coefficient 3.5000e+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
*        717      337       43      337        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        495      433       62        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1718     1658       60        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,b466
          ,b467,b468,b469,b470,b471,b472,b473,b474,b475,b476,b477,b478,b479
          ,b480,b481,b482,b483,b484,b485,b486,b487,b488,b489,b490,b491,b492
          ,b493,b494,b495;

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;

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,b466,b467,b468,b469,b470,b471
          ,b472,b473,b474,b475,b476,b477,b478,b479,b480,b481,b482,b483,b484
          ,b485,b486,b487,b488,b489,b490,b491,b492,b493,b494,b495;

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;


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 - 80*x332
      - 285*x333 - 290*x334 - 280*x335 - 290*x336 - 350*x337 + 5*b466 + 8*b467
      + 6*b468 + 10*b469 + 6*b470 + 7*b471 + 4*b472 + 5*b473 + 2*b474 + 4*b475
      + 3*b476 + 7*b477 + 3*b478 + 2*b479 + 4*b480 + 2*b481 + 3*b482 + 5*b483
      + 2*b484 + b485 + 2*b486 + 9*b487 + 5*b488 + 2*b489 + 10*b490 + 4*b491
      + 7*b492 + 4*b493 + 2*b494 + 8*b495 =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= 0.4;

e38..    x29 =G= 0.3;

e39..    x33 =G= 0.2;

e40..    x34 =G= 0.5;

e41..    x35 =G= 0.2;

e42..    x36 =G= 0.3;

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.. (x342/(0.001 + 0.999*b466) - log(1 + x338/(0.001 + 0.999*b466)))*(0.001
        + 0.999*b466) =L= 0;

e391..    x339 =E= 0;

e392..    x343 =E= 0;

e393..    x269 - x338 - x339 =E= 0;

e394..    x271 - x342 - x343 =E= 0;

e395..    x338 - 40*b466 =L= 0;

e396..    x339 + 40*b466 =L= 40;

e397..    x342 - 3.71357206670431*b466 =L= 0;

e398..    x343 + 3.71357206670431*b466 =L= 3.71357206670431;

e399.. (x344/(0.001 + 0.999*b467) - 1.2*log(1 + x340/(0.001 + 0.999*b467)))*(
       0.001 + 0.999*b467) =L= 0;

e400..    x341 =E= 0;

e401..    x345 =E= 0;

e402..    x270 - x340 - x341 =E= 0;

e403..    x272 - x344 - x345 =E= 0;

e404..    x340 - 40*b467 =L= 0;

e405..    x341 + 40*b467 =L= 40;

e406..    x344 - 4.45628648004517*b467 =L= 0;

e407..    x345 + 4.45628648004517*b467 =L= 4.45628648004517;

e408..  - 0.75*x346 + x354 =E= 0;

e409..    x347 =E= 0;

e410..    x355 =E= 0;

e411..    x276 - x346 - x347 =E= 0;

e412..    x280 - x354 - x355 =E= 0;

e413..    x346 - 4.45628648004517*b468 =L= 0;

e414..    x347 + 4.45628648004517*b468 =L= 4.45628648004517;

e415..    x354 - 3.34221486003388*b468 =L= 0;

e416..    x355 + 3.34221486003388*b468 =L= 3.34221486003388;

e417.. (x356/(0.001 + 0.999*b469) - 1.5*log(1 + x348/(0.001 + 0.999*b469)))*(
       0.001 + 0.999*b469) =L= 0;

e418..    x349 =E= 0;

e419..    x358 =E= 0;

e420..    x277 - x348 - x349 =E= 0;

e421..    x281 - x356 - x358 =E= 0;

e422..    x348 - 4.45628648004517*b469 =L= 0;

e423..    x349 + 4.45628648004517*b469 =L= 4.45628648004517;

e424..    x356 - 2.54515263975353*b469 =L= 0;

e425..    x358 + 2.54515263975353*b469 =L= 2.54515263975353;

e426..  - x350 + x360 =E= 0;

e427..  - 0.5*x352 + x360 =E= 0;

e428..    x351 =E= 0;

e429..    x353 =E= 0;

e430..    x361 =E= 0;

e431..    x278 - x350 - x351 =E= 0;

e432..    x279 - x352 - x353 =E= 0;

e433..    x282 - x360 - x361 =E= 0;

e434..    x350 - 4.45628648004517*b470 =L= 0;

e435..    x351 + 4.45628648004517*b470 =L= 4.45628648004517;

e436..    x352 - 30*b470 =L= 0;

e437..    x353 + 30*b470 =L= 30;

e438..    x360 - 15*b470 =L= 0;

e439..    x361 + 15*b470 =L= 15;

e440.. (x372/(0.001 + 0.999*b471) - 1.25*log(1 + x362/(0.001 + 0.999*b471)))*(
       0.001 + 0.999*b471) =L= 0;

e441..    x363 =E= 0;

e442..    x374 =E= 0;

e443..    x283 - x362 - x363 =E= 0;

e444..    x288 - x372 - x374 =E= 0;

e445..    x362 - 3.34221486003388*b471 =L= 0;

e446..    x363 + 3.34221486003388*b471 =L= 3.34221486003388;

e447..    x372 - 1.83548069293539*b471 =L= 0;

e448..    x374 + 1.83548069293539*b471 =L= 1.83548069293539;

e449.. (x376/(0.001 + 0.999*b472) - 0.9*log(1 + x364/(0.001 + 0.999*b472)))*(
       0.001 + 0.999*b472) =L= 0;

e450..    x365 =E= 0;

e451..    x378 =E= 0;

e452..    x284 - x364 - x365 =E= 0;

e453..    x289 - x376 - x378 =E= 0;

e454..    x364 - 3.34221486003388*b472 =L= 0;

e455..    x365 + 3.34221486003388*b472 =L= 3.34221486003388;

e456..    x376 - 1.32154609891348*b472 =L= 0;

e457..    x378 + 1.32154609891348*b472 =L= 1.32154609891348;

e458.. (x380/(0.001 + 0.999*b473) - log(1 + x357/(0.001 + 0.999*b473)))*(0.001
        + 0.999*b473) =L= 0;

e459..    x359 =E= 0;

e460..    x381 =E= 0;

e461..    x281 - x357 - x359 =E= 0;

e462..    x290 - x380 - x381 =E= 0;

e463..    x357 - 2.54515263975353*b473 =L= 0;

e464..    x359 + 2.54515263975353*b473 =L= 2.54515263975353;

e465..    x380 - 1.26558121681553*b473 =L= 0;

e466..    x381 + 1.26558121681553*b473 =L= 1.26558121681553;

e467..  - 0.9*x366 + x382 =E= 0;

e468..    x367 =E= 0;

e469..    x383 =E= 0;

e470..    x285 - x366 - x367 =E= 0;

e471..    x291 - x382 - x383 =E= 0;

e472..    x366 - 15*b474 =L= 0;

e473..    x367 + 15*b474 =L= 15;

e474..    x382 - 13.5*b474 =L= 0;

e475..    x383 + 13.5*b474 =L= 13.5;

e476..  - 0.6*x368 + x384 =E= 0;

e477..    x369 =E= 0;

e478..    x385 =E= 0;

e479..    x286 - x368 - x369 =E= 0;

e480..    x292 - x384 - x385 =E= 0;

e481..    x368 - 15*b475 =L= 0;

e482..    x369 + 15*b475 =L= 15;

e483..    x384 - 9*b475 =L= 0;

e484..    x385 + 9*b475 =L= 9;

e485.. (x386/(0.001 + 0.999*b476) - 1.1*log(1 + x370/(0.001 + 0.999*b476)))*(
       0.001 + 0.999*b476) =L= 0;

e486..    x371 =E= 0;

e487..    x387 =E= 0;

e488..    x287 - x370 - x371 =E= 0;

e489..    x293 - x386 - x387 =E= 0;

e490..    x370 - 15*b476 =L= 0;

e491..    x371 + 15*b476 =L= 15;

e492..    x386 - 3.04984759446376*b476 =L= 0;

e493..    x387 + 3.04984759446376*b476 =L= 3.04984759446376;

e494..  - 0.9*x373 + x406 =E= 0;

e495..  - x392 + x406 =E= 0;

e496..    x375 =E= 0;

e497..    x393 =E= 0;

e498..    x407 =E= 0;

e499..    x288 - x373 - x375 =E= 0;

e500..    x296 - x392 - x393 =E= 0;

e501..    x304 - x406 - x407 =E= 0;

e502..    x373 - 1.83548069293539*b477 =L= 0;

e503..    x375 + 1.83548069293539*b477 =L= 1.83548069293539;

e504..    x392 - 20*b477 =L= 0;

e505..    x393 + 20*b477 =L= 20;

e506..    x406 - 20*b477 =L= 0;

e507..    x407 + 20*b477 =L= 20;

e508.. (x408/(0.001 + 0.999*b478) - log(1 + x377/(0.001 + 0.999*b478)))*(0.001
        + 0.999*b478) =L= 0;

e509..    x379 =E= 0;

e510..    x409 =E= 0;

e511..    x289 - x377 - x379 =E= 0;

e512..    x305 - x408 - x409 =E= 0;

e513..    x377 - 1.32154609891348*b478 =L= 0;

e514..    x379 + 1.32154609891348*b478 =L= 1.32154609891348;

e515..    x408 - 0.842233385663186*b478 =L= 0;

e516..    x409 + 0.842233385663186*b478 =L= 0.842233385663186;

e517.. (x410/(0.001 + 0.999*b479) - 0.7*log(1 + x388/(0.001 + 0.999*b479)))*(
       0.001 + 0.999*b479) =L= 0;

e518..    x389 =E= 0;

e519..    x411 =E= 0;

e520..    x294 - x388 - x389 =E= 0;

e521..    x306 - x410 - x411 =E= 0;

e522..    x388 - 1.26558121681553*b479 =L= 0;

e523..    x389 + 1.26558121681553*b479 =L= 1.26558121681553;

e524..    x410 - 0.572481933717686*b479 =L= 0;

e525..    x411 + 0.572481933717686*b479 =L= 0.572481933717686;

e526.. (x412/(0.001 + 0.999*b480) - 0.65*log(1 + x390/(0.001 + 0.999*b480)))*(
       0.001 + 0.999*b480) =L= 0;

e527.. (x412/(0.001 + 0.999*b480) - 0.65*log(1 + x394/(0.001 + 0.999*b480)))*(
       0.001 + 0.999*b480) =L= 0;

e528..    x391 =E= 0;

e529..    x395 =E= 0;

e530..    x413 =E= 0;

e531..    x295 - x390 - x391 =E= 0;

e532..    x298 - x394 - x395 =E= 0;

e533..    x307 - x412 - x413 =E= 0;

e534..    x390 - 1.26558121681553*b480 =L= 0;

e535..    x391 + 1.26558121681553*b480 =L= 1.26558121681553;

e536..    x394 - 33.5*b480 =L= 0;

e537..    x395 + 33.5*b480 =L= 33.5;

e538..    x412 - 2.30162356062425*b480 =L= 0;

e539..    x413 + 2.30162356062425*b480 =L= 2.30162356062425;

e540..  - x396 + x414 =E= 0;

e541..    x397 =E= 0;

e542..    x415 =E= 0;

e543..    x299 - x396 - x397 =E= 0;

e544..    x308 - x414 - x415 =E= 0;

e545..    x396 - 9*b481 =L= 0;

e546..    x397 + 9*b481 =L= 9;

e547..    x414 - 9*b481 =L= 0;

e548..    x415 + 9*b481 =L= 9;

e549..  - x398 + x416 =E= 0;

e550..    x399 =E= 0;

e551..    x417 =E= 0;

e552..    x300 - x398 - x399 =E= 0;

e553..    x309 - x416 - x417 =E= 0;

e554..    x398 - 9*b482 =L= 0;

e555..    x399 + 9*b482 =L= 9;

e556..    x416 - 9*b482 =L= 0;

e557..    x417 + 9*b482 =L= 9;

e558.. (x418/(0.001 + 0.999*b483) - 0.75*log(1 + x400/(0.001 + 0.999*b483)))*(
       0.001 + 0.999*b483) =L= 0;

e559..    x401 =E= 0;

e560..    x419 =E= 0;

e561..    x301 - x400 - x401 =E= 0;

e562..    x310 - x418 - x419 =E= 0;

e563..    x400 - 3.04984759446376*b483 =L= 0;

e564..    x401 + 3.04984759446376*b483 =L= 3.04984759446376;

e565..    x418 - 1.04900943706034*b483 =L= 0;

e566..    x419 + 1.04900943706034*b483 =L= 1.04900943706034;

e567.. (x420/(0.001 + 0.999*b484) - 0.8*log(1 + x402/(0.001 + 0.999*b484)))*(
       0.001 + 0.999*b484) =L= 0;

e568..    x403 =E= 0;

e569..    x421 =E= 0;

e570..    x302 - x402 - x403 =E= 0;

e571..    x311 - x420 - x421 =E= 0;

e572..    x402 - 3.04984759446376*b484 =L= 0;

e573..    x403 + 3.04984759446376*b484 =L= 3.04984759446376;

e574..    x420 - 1.11894339953103*b484 =L= 0;

e575..    x421 + 1.11894339953103*b484 =L= 1.11894339953103;

e576.. (x422/(0.001 + 0.999*b485) - 0.85*log(1 + x404/(0.001 + 0.999*b485)))*(
       0.001 + 0.999*b485) =L= 0;

e577..    x405 =E= 0;

e578..    x423 =E= 0;

e579..    x303 - x404 - x405 =E= 0;

e580..    x312 - x422 - x423 =E= 0;

e581..    x404 - 3.04984759446376*b485 =L= 0;

e582..    x405 + 3.04984759446376*b485 =L= 3.04984759446376;

e583..    x422 - 1.18887736200171*b485 =L= 0;

e584..    x423 + 1.18887736200171*b485 =L= 1.18887736200171;

e585.. (x428/(0.001 + 0.999*b486) - log(1 + x424/(0.001 + 0.999*b486)))*(0.001
        + 0.999*b486) =L= 0;

e586..    x425 =E= 0;

e587..    x429 =E= 0;

e588..    x314 - x424 - x425 =E= 0;

e589..    x316 - x428 - x429 =E= 0;

e590..    x424 - 1.18887736200171*b486 =L= 0;

e591..    x425 + 1.18887736200171*b486 =L= 1.18887736200171;

e592..    x428 - 0.78338879230327*b486 =L= 0;

e593..    x429 + 0.78338879230327*b486 =L= 0.78338879230327;

e594.. (x430/(0.001 + 0.999*b487) - 1.2*log(1 + x426/(0.001 + 0.999*b487)))*(
       0.001 + 0.999*b487) =L= 0;

e595..    x427 =E= 0;

e596..    x431 =E= 0;

e597..    x315 - x426 - x427 =E= 0;

e598..    x317 - x430 - x431 =E= 0;

e599..    x426 - 1.18887736200171*b487 =L= 0;

e600..    x427 + 1.18887736200171*b487 =L= 1.18887736200171;

e601..    x430 - 0.940066550763924*b487 =L= 0;

e602..    x431 + 0.940066550763924*b487 =L= 0.940066550763924;

e603..  - 0.75*x432 + x440 =E= 0;

e604..    x433 =E= 0;

e605..    x441 =E= 0;

e606..    x321 - x432 - x433 =E= 0;

e607..    x325 - x440 - x441 =E= 0;

e608..    x432 - 0.940066550763924*b488 =L= 0;

e609..    x433 + 0.940066550763924*b488 =L= 0.940066550763924;

e610..    x440 - 0.705049913072943*b488 =L= 0;

e611..    x441 + 0.705049913072943*b488 =L= 0.705049913072943;

e612.. (x442/(0.001 + 0.999*b489) - 1.5*log(1 + x434/(0.001 + 0.999*b489)))*(
       0.001 + 0.999*b489) =L= 0;

e613..    x435 =E= 0;

e614..    x444 =E= 0;

e615..    x322 - x434 - x435 =E= 0;

e616..    x326 - x442 - x444 =E= 0;

e617..    x434 - 0.940066550763924*b489 =L= 0;

e618..    x435 + 0.940066550763924*b489 =L= 0.940066550763924;

e619..    x442 - 0.994083415506506*b489 =L= 0;

e620..    x444 + 0.994083415506506*b489 =L= 0.994083415506506;

e621..  - x436 + x446 =E= 0;

e622..  - 0.5*x438 + x446 =E= 0;

e623..    x437 =E= 0;

e624..    x439 =E= 0;

e625..    x447 =E= 0;

e626..    x323 - x436 - x437 =E= 0;

e627..    x324 - x438 - x439 =E= 0;

e628..    x327 - x446 - x447 =E= 0;

e629..    x436 - 0.940066550763924*b490 =L= 0;

e630..    x437 + 0.940066550763924*b490 =L= 0.940066550763924;

e631..    x438 - 30*b490 =L= 0;

e632..    x439 + 30*b490 =L= 30;

e633..    x446 - 15*b490 =L= 0;

e634..    x447 + 15*b490 =L= 15;

e635.. (x456/(0.001 + 0.999*b491) - 1.25*log(1 + x448/(0.001 + 0.999*b491)))*(
       0.001 + 0.999*b491) =L= 0;

e636..    x449 =E= 0;

e637..    x457 =E= 0;

e638..    x328 - x448 - x449 =E= 0;

e639..    x333 - x456 - x457 =E= 0;

e640..    x448 - 0.705049913072943*b491 =L= 0;

e641..    x449 + 0.705049913072943*b491 =L= 0.705049913072943;

e642..    x456 - 0.666992981045719*b491 =L= 0;

e643..    x457 + 0.666992981045719*b491 =L= 0.666992981045719;

e644.. (x458/(0.001 + 0.999*b492) - 0.9*log(1 + x450/(0.001 + 0.999*b492)))*(
       0.001 + 0.999*b492) =L= 0;

e645..    x451 =E= 0;

e646..    x459 =E= 0;

e647..    x329 - x450 - x451 =E= 0;

e648..    x334 - x458 - x459 =E= 0;

e649..    x450 - 0.705049913072943*b492 =L= 0;

e650..    x451 + 0.705049913072943*b492 =L= 0.705049913072943;

e651..    x458 - 0.480234946352917*b492 =L= 0;

e652..    x459 + 0.480234946352917*b492 =L= 0.480234946352917;

e653.. (x460/(0.001 + 0.999*b493) - log(1 + x443/(0.001 + 0.999*b493)))*(0.001
        + 0.999*b493) =L= 0;

e654..    x445 =E= 0;

e655..    x461 =E= 0;

e656..    x326 - x443 - x445 =E= 0;

e657..    x335 - x460 - x461 =E= 0;

e658..    x443 - 0.994083415506506*b493 =L= 0;

e659..    x445 + 0.994083415506506*b493 =L= 0.994083415506506;

e660..    x460 - 0.690184503917672*b493 =L= 0;

e661..    x461 + 0.690184503917672*b493 =L= 0.690184503917672;

e662..  - 0.9*x452 + x462 =E= 0;

e663..    x453 =E= 0;

e664..    x463 =E= 0;

e665..    x330 - x452 - x453 =E= 0;

e666..    x336 - x462 - x463 =E= 0;

e667..    x452 - 15*b494 =L= 0;

e668..    x453 + 15*b494 =L= 15;

e669..    x462 - 13.5*b494 =L= 0;

e670..    x463 + 13.5*b494 =L= 13.5;

e671..  - 0.6*x454 + x464 =E= 0;

e672..    x455 =E= 0;

e673..    x465 =E= 0;

e674..    x331 - x454 - x455 =E= 0;

e675..    x337 - x464 - x465 =E= 0;

e676..    x454 - 15*b495 =L= 0;

e677..    x455 + 15*b495 =L= 15;

e678..    x464 - 9*b495 =L= 0;

e679..    x465 + 9*b495 =L= 9;

e680..    b466 + b467 =E= 1;

e681..  - b468 + b471 + b472 =G= 0;

e682..  - b471 + b477 =G= 0;

e683..  - b472 + b478 =G= 0;

e684..  - b469 + b473 =G= 0;

e685..  - b473 + b479 + b480 =G= 0;

e686..  - b470 + b474 + b475 + b476 =G= 0;

e687..  - b474 + b480 =G= 0;

e688..  - b475 + b481 + b482 =G= 0;

e689..  - b476 + b483 + b484 + b485 =G= 0;

e690..    b466 + b467 - b468 =G= 0;

e691..    b466 + b467 - b469 =G= 0;

e692..    b466 + b467 - b470 =G= 0;

e693..    b468 - b471 =G= 0;

e694..    b468 - b472 =G= 0;

e695..    b469 - b473 =G= 0;

e696..    b470 - b474 =G= 0;

e697..    b470 - b475 =G= 0;

e698..    b470 - b476 =G= 0;

e699..    b471 - b477 =G= 0;

e700..    b472 - b478 =G= 0;

e701..    b473 - b479 =G= 0;

e702..    b473 - b480 =G= 0;

e703..    b475 - b481 =G= 0;

e704..    b475 - b482 =G= 0;

e705..    b476 - b483 =G= 0;

e706..    b476 - b484 =G= 0;

e707..    b476 - b485 =G= 0;

e708..  - b485 + b486 + b487 =G= 0;

e709..  - b488 + b491 + b492 =G= 0;

e710..  - b489 + b493 =G= 0;

e711..    b485 - b486 =G= 0;

e712..    b485 - b487 =G= 0;

e713..    b488 - b491 =G= 0;

e714..    b488 - b492 =G= 0;

e715..    b489 - b493 =G= 0;

e716..    b490 - b494 =G= 0;

e717..    b490 - b495 =G= 0;

* set non-default bounds
x268.up = 40;
x279.up = 30;
x296.up = 20;
x297.up = 20;
x324.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: 2022-04-26 Git hash: de668763
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