MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance rsyn0840hfsg
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 rsyn0840.
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 325.56742690 (ALPHAECP) 325.70999450 (ANTIGONE) 325.55480600 (BARON) 325.55450700 (BONMIN) 527.63202490 (COUENNE) 325.55450700 (LINDO) 325.55458800 (SCIP) 1883.42920800 (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ⓘ | 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-03 |
| Maximal coefficientⓘ | 3.5000e+02 |
| Infeasibility of initial pointⓘ | 1.4 |
| Sparsity Jacobianⓘ |  |
| Sparsity 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/(0.001 + 0.999*b530) - log(1 + x358/(0.001 + 0.999*b530)))*(0.001
+ 0.999*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/(0.001 + 0.999*b531) - 1.2*log(1 + x360/(0.001 + 0.999*b531)))*(
0.001 + 0.999*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/(0.001 + 0.999*b533) - 1.5*log(1 + x368/(0.001 + 0.999*b533)))*(
0.001 + 0.999*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/(0.001 + 0.999*b535) - 1.25*log(1 + x382/(0.001 + 0.999*b535)))*(
0.001 + 0.999*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/(0.001 + 0.999*b536) - 0.9*log(1 + x384/(0.001 + 0.999*b536)))*(
0.001 + 0.999*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/(0.001 + 0.999*b537) - log(1 + x377/(0.001 + 0.999*b537)))*(0.001
+ 0.999*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/(0.001 + 0.999*b540) - 1.1*log(1 + x390/(0.001 + 0.999*b540)))*(
0.001 + 0.999*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/(0.001 + 0.999*b542) - log(1 + x397/(0.001 + 0.999*b542)))*(0.001
+ 0.999*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/(0.001 + 0.999*b543) - 0.7*log(1 + x408/(0.001 + 0.999*b543)))*(
0.001 + 0.999*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/(0.001 + 0.999*b544) - 0.65*log(1 + x410/(0.001 + 0.999*b544)))*(
0.001 + 0.999*b544) =L= 0;
e531.. (x432/(0.001 + 0.999*b544) - 0.65*log(1 + x414/(0.001 + 0.999*b544)))*(
0.001 + 0.999*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/(0.001 + 0.999*b547) - 0.75*log(1 + x420/(0.001 + 0.999*b547)))*(
0.001 + 0.999*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/(0.001 + 0.999*b548) - 0.8*log(1 + x422/(0.001 + 0.999*b548)))*(
0.001 + 0.999*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/(0.001 + 0.999*b549) - 0.85*log(1 + x424/(0.001 + 0.999*b549)))*(
0.001 + 0.999*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/(0.001 + 0.999*b550) - log(1 + x444/(0.001 + 0.999*b550)))*(0.001
+ 0.999*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/(0.001 + 0.999*b551) - 1.2*log(1 + x446/(0.001 + 0.999*b551)))*(
0.001 + 0.999*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/(0.001 + 0.999*b553) - 1.5*log(1 + x454/(0.001 + 0.999*b553)))*(
0.001 + 0.999*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/(0.001 + 0.999*b555) - 1.25*log(1 + x468/(0.001 + 0.999*b555)))*(
0.001 + 0.999*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/(0.001 + 0.999*b556) - 0.9*log(1 + x470/(0.001 + 0.999*b556)))*(
0.001 + 0.999*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/(0.001 + 0.999*b557) - log(1 + x463/(0.001 + 0.999*b557)))*(0.001
+ 0.999*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/(0.001 + 0.999*b560) - 1.1*log(1 + x476/(0.001 + 0.999*b560)))*(
0.001 + 0.999*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/(0.001 + 0.999*b562) - log(1 + x483/(0.001 + 0.999*b562)))*(0.001
+ 0.999*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/(0.001 + 0.999*b563) - 0.7*log(1 + x494/(0.001 + 0.999*b563)))*(
0.001 + 0.999*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/(0.001 + 0.999*b564) - 0.65*log(1 + x496/(0.001 + 0.999*b564)))*(
0.001 + 0.999*b564) =L= 0;
e726.. (x518/(0.001 + 0.999*b564) - 0.65*log(1 + x500/(0.001 + 0.999*b564)))*(
0.001 + 0.999*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/(0.001 + 0.999*b567) - 0.75*log(1 + x506/(0.001 + 0.999*b567)))*(
0.001 + 0.999*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/(0.001 + 0.999*b568) - 0.8*log(1 + x508/(0.001 + 0.999*b568)))*(
0.001 + 0.999*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/(0.001 + 0.999*b569) - 0.85*log(1 + x510/(0.001 + 0.999*b569)))*(
0.001 + 0.999*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: 2024-08-26 Git hash: 6cc1607f