MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance syn30m02hfsg
Selection of optimal configuration and parameters for a processing system selected from a superstructure containing alternative processing units and interconnections. Equivalent perspective reformulation of syn30m02.
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 399.68333000 (ALPHAECP) 399.72311190 (ANTIGONE) 399.68381680 (BARON) 399.68314420 (BONMIN) 1935.05450900 (COUENNE) 930.21652440 (LINDO) 399.68333840 (SCIP) 2256.24783700 (SHOT) |
| Referencesⓘ | Duran, Marco A and Grossmann, I E, An Outer-Approximation Algorithm for a Class of Mixed-integer Nonlinear Programs, Mathematical Programming, 36:3, 1986, 307-339. Türkay, Metin and Grossmann, I E, Logic-based MINLP Algorithms for optimal synthesis of process networks, Computers and Chemical Engineering, 20:8, 1996, 959-978. Kevin C. Furman, Nicolas W. Sawaya, Ignacio E. Grossmann, A computationally useful algebraic representation of nonlinear disjunctive convex sets using the perspective function, Tech. Rep., 2019. |
| Applicationⓘ | Synthesis of processing system |
| Added to libraryⓘ | 25 Sep 2019 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 576 |
| #Binary Variablesⓘ | 120 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 116 |
| #Nonlinear Binary Variablesⓘ | 38 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | max |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 102 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 900 |
| #Linear Constraintsⓘ | 860 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 40 |
| Operands in Gen. Nonlin. Functionsⓘ | div log mul |
| Constraints curvatureⓘ | convex |
| #Nonzeros in Jacobianⓘ | 1936 |
| #Nonlinear Nonzeros in Jacobianⓘ | 120 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 234 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 78 |
| #Blocks in Hessian of Lagrangianⓘ | 38 |
| 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ⓘ | 4.0500e+02 |
| Infeasibility of initial pointⓘ | 1 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 901 381 74 446 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 577 457 120 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 2039 1919 120 0
*
* Solve m using MINLP maximizing objvar;
Variables objvar,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18
,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35
,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52
,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69
,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86
,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102
,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115
,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128
,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141
,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154
,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167
,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180
,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193
,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206
,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219
,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232
,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245
,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258
,x259,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271
,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284
,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297
,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310
,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323
,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336
,x337,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349
,x350,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362
,x363,x364,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,b398,b399,b400,b401
,b402,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412,b413,b414
,b415,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425,b426,b427
,b428,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438,b439,b440
,b441,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451,b452,b453
,b454,b455,b456,b457,b458,b459,b460,b461,b462,b463,b464,b465,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,b496,b497,b498,b499,b500,b501,b502,b503,b504,b505
,b506,b507,b508,b509,b510,b511,b512,b513,b514,b515,b516,b517,x518
,x519,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530,x531
,x532,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543,x544
,x545,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556,x557
,x558,x559,x560,x561,x562,x563,x564,x565,x566,x567,x568,x569,x570
,x571,x572,x573,x574,x575,x576,x577;
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,x236,x237,x238,x239,x240,x241,x242,x243,x244
,x245,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257
,x258,x259,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270
,x271,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283
,x284,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296
,x297,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309
,x310,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322
,x323,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335
,x336,x337,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348
,x349,x350,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361
,x362,x363,x364,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;
Binary Variables b398,b399,b400,b401,b402,b403,b404,b405,b406,b407,b408,b409
,b410,b411,b412,b413,b414,b415,b416,b417,b418,b419,b420,b421,b422
,b423,b424,b425,b426,b427,b428,b429,b430,b431,b432,b433,b434,b435
,b436,b437,b438,b439,b440,b441,b442,b443,b444,b445,b446,b447,b448
,b449,b450,b451,b452,b453,b454,b455,b456,b457,b458,b459,b460,b461
,b462,b463,b464,b465,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,b496,b497,b498,b499,b500
,b501,b502,b503,b504,b505,b506,b507,b508,b509,b510,b511,b512,b513
,b514,b515,b516,b517;
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,e839,e840,e841,e842,e843,e844
,e845,e846,e847,e848,e849,e850,e851,e852,e853,e854,e855,e856,e857
,e858,e859,e860,e861,e862,e863,e864,e865,e866,e867,e868,e869,e870
,e871,e872,e873,e874,e875,e876,e877,e878,e879,e880,e881,e882,e883
,e884,e885,e886,e887,e888,e889,e890,e891,e892,e893,e894,e895,e896
,e897,e898,e899,e900,e901;
e1.. objvar + x2 + x3 - 5*x14 - 10*x15 + 2*x24 + x25 + 10*x58 + 5*x59
+ 5*x60 + 5*x61 - 40*x74 - 30*x75 - 15*x76 - 20*x77 - 10*x78 - 30*x79
- 30*x80 - 20*x81 - 35*x82 - 50*x83 - 20*x84 - 30*x85 - 25*x86 - 50*x87
- 15*x88 - 20*x89 - 30*x104 - 40*x105 + x114 + x115 - 80*x130 - 90*x131
- 285*x132 - 390*x133 - 290*x134 - 405*x135 - 280*x136 - 400*x137
- 290*x138 - 300*x139 - 350*x140 - 250*x141 + 5*b458 + 4*b459 + 8*b460
+ 7*b461 + 6*b462 + 9*b463 + 10*b464 + 9*b465 + 6*b466 + 10*b467 + 7*b468
+ 7*b469 + 4*b470 + 3*b471 + 5*b472 + 6*b473 + 2*b474 + 5*b475 + 4*b476
+ 7*b477 + 3*b478 + 9*b479 + 7*b480 + 2*b481 + 3*b482 + b483 + 2*b484
+ 6*b485 + 4*b486 + 8*b487 + 2*b488 + 5*b489 + 3*b490 + 4*b491 + 5*b492
+ 7*b493 + 2*b494 + 8*b495 + b496 + 4*b497 + 2*b498 + 5*b499 + 9*b500
+ 2*b501 + 5*b502 + 8*b503 + 2*b504 + 3*b505 + 10*b506 + 6*b507 + 4*b508
+ 8*b509 + 7*b510 + 3*b511 + 4*b512 + 8*b513 + 2*b514 + b515 + 8*b516
+ 3*b517 =E= 0;
e2.. x2 - x4 - x6 =E= 0;
e3.. x3 - x5 - x7 =E= 0;
e4.. - x8 - x10 + x12 =E= 0;
e5.. - x9 - x11 + x13 =E= 0;
e6.. x12 - x14 - x16 =E= 0;
e7.. x13 - x15 - x17 =E= 0;
e8.. x16 - x18 - x20 - x22 =E= 0;
e9.. x17 - x19 - x21 - x23 =E= 0;
e10.. x26 - x32 - x34 =E= 0;
e11.. x27 - x33 - x35 =E= 0;
e12.. x30 - x36 - x38 - x40 =E= 0;
e13.. x31 - x37 - x39 - x41 =E= 0;
e14.. x46 - x54 - x56 =E= 0;
e15.. x47 - x55 - x57 =E= 0;
e16.. - x48 - x60 + x62 =E= 0;
e17.. - x49 - x61 + x63 =E= 0;
e18.. x50 - x64 - x66 =E= 0;
e19.. x51 - x65 - x67 =E= 0;
e20.. x52 - x68 - x70 - x72 =E= 0;
e21.. x53 - x69 - x71 - x73 =E= 0;
e22.. x90 - x92 =E= 0;
e23.. x91 - x93 =E= 0;
e24.. x92 - x94 - x96 =E= 0;
e25.. x93 - x95 - x97 =E= 0;
e26.. - x98 - x100 + x102 =E= 0;
e27.. - x99 - x101 + x103 =E= 0;
e28.. x102 - x104 - x106 =E= 0;
e29.. x103 - x105 - x107 =E= 0;
e30.. x106 - x108 - x110 - x112 =E= 0;
e31.. x107 - x109 - x111 - x113 =E= 0;
e32.. x116 - x122 - x124 =E= 0;
e33.. x117 - x123 - x125 =E= 0;
e34.. x120 - x126 - x128 - x130 =E= 0;
e35.. x121 - x127 - x129 - x131 =E= 0;
e36.. (x150/(0.001 + 0.999*b398) - log(1 + x142/(0.001 + 0.999*b398)))*(0.001
+ 0.999*b398) =L= 0;
e37.. (x151/(0.001 + 0.999*b399) - log(1 + x143/(0.001 + 0.999*b399)))*(0.001
+ 0.999*b399) =L= 0;
e38.. x144 =E= 0;
e39.. x145 =E= 0;
e40.. x152 =E= 0;
e41.. x153 =E= 0;
e42.. x4 - x142 - x144 =E= 0;
e43.. x5 - x143 - x145 =E= 0;
e44.. x8 - x150 - x152 =E= 0;
e45.. x9 - x151 - x153 =E= 0;
e46.. x142 - 40*b398 =L= 0;
e47.. x143 - 40*b399 =L= 0;
e48.. x144 + 40*b398 =L= 40;
e49.. x145 + 40*b399 =L= 40;
e50.. x150 - 3.71357206670431*b398 =L= 0;
e51.. x151 - 3.71357206670431*b399 =L= 0;
e52.. x152 + 3.71357206670431*b398 =L= 3.71357206670431;
e53.. x153 + 3.71357206670431*b399 =L= 3.71357206670431;
e54.. (x154/(0.001 + 0.999*b400) - 1.2*log(1 + x146/(0.001 + 0.999*b400)))*(
0.001 + 0.999*b400) =L= 0;
e55.. (x155/(0.001 + 0.999*b401) - 1.2*log(1 + x147/(0.001 + 0.999*b401)))*(
0.001 + 0.999*b401) =L= 0;
e56.. x148 =E= 0;
e57.. x149 =E= 0;
e58.. x156 =E= 0;
e59.. x157 =E= 0;
e60.. x6 - x146 - x148 =E= 0;
e61.. x7 - x147 - x149 =E= 0;
e62.. x10 - x154 - x156 =E= 0;
e63.. x11 - x155 - x157 =E= 0;
e64.. x146 - 40*b400 =L= 0;
e65.. x147 - 40*b401 =L= 0;
e66.. x148 + 40*b400 =L= 40;
e67.. x149 + 40*b401 =L= 40;
e68.. x154 - 4.45628648004517*b400 =L= 0;
e69.. x155 - 4.45628648004517*b401 =L= 0;
e70.. x156 + 4.45628648004517*b400 =L= 4.45628648004517;
e71.. x157 + 4.45628648004517*b401 =L= 4.45628648004517;
e72.. - 0.75*x158 + x174 =E= 0;
e73.. - 0.75*x159 + x175 =E= 0;
e74.. x160 =E= 0;
e75.. x161 =E= 0;
e76.. x176 =E= 0;
e77.. x177 =E= 0;
e78.. x18 - x158 - x160 =E= 0;
e79.. x19 - x159 - x161 =E= 0;
e80.. x26 - x174 - x176 =E= 0;
e81.. x27 - x175 - x177 =E= 0;
e82.. x158 - 4.45628648004517*b402 =L= 0;
e83.. x159 - 4.45628648004517*b403 =L= 0;
e84.. x160 + 4.45628648004517*b402 =L= 4.45628648004517;
e85.. x161 + 4.45628648004517*b403 =L= 4.45628648004517;
e86.. x174 - 3.34221486003388*b402 =L= 0;
e87.. x175 - 3.34221486003388*b403 =L= 0;
e88.. x176 + 3.34221486003388*b402 =L= 3.34221486003388;
e89.. x177 + 3.34221486003388*b403 =L= 3.34221486003388;
e90.. (x178/(0.001 + 0.999*b404) - 1.5*log(1 + x162/(0.001 + 0.999*b404)))*(
0.001 + 0.999*b404) =L= 0;
e91.. (x179/(0.001 + 0.999*b405) - 1.5*log(1 + x163/(0.001 + 0.999*b405)))*(
0.001 + 0.999*b405) =L= 0;
e92.. x164 =E= 0;
e93.. x165 =E= 0;
e94.. x182 =E= 0;
e95.. x183 =E= 0;
e96.. x20 - x162 - x164 =E= 0;
e97.. x21 - x163 - x165 =E= 0;
e98.. x28 - x178 - x182 =E= 0;
e99.. x29 - x179 - x183 =E= 0;
e100.. x162 - 4.45628648004517*b404 =L= 0;
e101.. x163 - 4.45628648004517*b405 =L= 0;
e102.. x164 + 4.45628648004517*b404 =L= 4.45628648004517;
e103.. x165 + 4.45628648004517*b405 =L= 4.45628648004517;
e104.. x178 - 2.54515263975353*b404 =L= 0;
e105.. x179 - 2.54515263975353*b405 =L= 0;
e106.. x182 + 2.54515263975353*b404 =L= 2.54515263975353;
e107.. x183 + 2.54515263975353*b405 =L= 2.54515263975353;
e108.. - x166 + x186 =E= 0;
e109.. - x167 + x187 =E= 0;
e110.. - 0.5*x170 + x186 =E= 0;
e111.. - 0.5*x171 + x187 =E= 0;
e112.. x168 =E= 0;
e113.. x169 =E= 0;
e114.. x172 =E= 0;
e115.. x173 =E= 0;
e116.. x188 =E= 0;
e117.. x189 =E= 0;
e118.. x22 - x166 - x168 =E= 0;
e119.. x23 - x167 - x169 =E= 0;
e120.. x24 - x170 - x172 =E= 0;
e121.. x25 - x171 - x173 =E= 0;
e122.. x30 - x186 - x188 =E= 0;
e123.. x31 - x187 - x189 =E= 0;
e124.. x166 - 4.45628648004517*b406 =L= 0;
e125.. x167 - 4.45628648004517*b407 =L= 0;
e126.. x168 + 4.45628648004517*b406 =L= 4.45628648004517;
e127.. x169 + 4.45628648004517*b407 =L= 4.45628648004517;
e128.. x170 - 30*b406 =L= 0;
e129.. x171 - 30*b407 =L= 0;
e130.. x172 + 30*b406 =L= 30;
e131.. x173 + 30*b407 =L= 30;
e132.. x186 - 15*b406 =L= 0;
e133.. x187 - 15*b407 =L= 0;
e134.. x188 + 15*b406 =L= 15;
e135.. x189 + 15*b407 =L= 15;
e136.. (x210/(0.001 + 0.999*b408) - 1.25*log(1 + x190/(0.001 + 0.999*b408)))*(
0.001 + 0.999*b408) =L= 0;
e137.. (x211/(0.001 + 0.999*b409) - 1.25*log(1 + x191/(0.001 + 0.999*b409)))*(
0.001 + 0.999*b409) =L= 0;
e138.. x192 =E= 0;
e139.. x193 =E= 0;
e140.. x214 =E= 0;
e141.. x215 =E= 0;
e142.. x32 - x190 - x192 =E= 0;
e143.. x33 - x191 - x193 =E= 0;
e144.. x42 - x210 - x214 =E= 0;
e145.. x43 - x211 - x215 =E= 0;
e146.. x190 - 3.34221486003388*b408 =L= 0;
e147.. x191 - 3.34221486003388*b409 =L= 0;
e148.. x192 + 3.34221486003388*b408 =L= 3.34221486003388;
e149.. x193 + 3.34221486003388*b409 =L= 3.34221486003388;
e150.. x210 - 1.83548069293539*b408 =L= 0;
e151.. x211 - 1.83548069293539*b409 =L= 0;
e152.. x214 + 1.83548069293539*b408 =L= 1.83548069293539;
e153.. x215 + 1.83548069293539*b409 =L= 1.83548069293539;
e154.. (x218/(0.001 + 0.999*b410) - 0.9*log(1 + x194/(0.001 + 0.999*b410)))*(
0.001 + 0.999*b410) =L= 0;
e155.. (x219/(0.001 + 0.999*b411) - 0.9*log(1 + x195/(0.001 + 0.999*b411)))*(
0.001 + 0.999*b411) =L= 0;
e156.. x196 =E= 0;
e157.. x197 =E= 0;
e158.. x222 =E= 0;
e159.. x223 =E= 0;
e160.. x34 - x194 - x196 =E= 0;
e161.. x35 - x195 - x197 =E= 0;
e162.. x44 - x218 - x222 =E= 0;
e163.. x45 - x219 - x223 =E= 0;
e164.. x194 - 3.34221486003388*b410 =L= 0;
e165.. x195 - 3.34221486003388*b411 =L= 0;
e166.. x196 + 3.34221486003388*b410 =L= 3.34221486003388;
e167.. x197 + 3.34221486003388*b411 =L= 3.34221486003388;
e168.. x218 - 1.32154609891348*b410 =L= 0;
e169.. x219 - 1.32154609891348*b411 =L= 0;
e170.. x222 + 1.32154609891348*b410 =L= 1.32154609891348;
e171.. x223 + 1.32154609891348*b411 =L= 1.32154609891348;
e172.. (x226/(0.001 + 0.999*b412) - log(1 + x180/(0.001 + 0.999*b412)))*(0.001
+ 0.999*b412) =L= 0;
e173.. (x227/(0.001 + 0.999*b413) - log(1 + x181/(0.001 + 0.999*b413)))*(0.001
+ 0.999*b413) =L= 0;
e174.. x184 =E= 0;
e175.. x185 =E= 0;
e176.. x228 =E= 0;
e177.. x229 =E= 0;
e178.. x28 - x180 - x184 =E= 0;
e179.. x29 - x181 - x185 =E= 0;
e180.. x46 - x226 - x228 =E= 0;
e181.. x47 - x227 - x229 =E= 0;
e182.. x180 - 2.54515263975353*b412 =L= 0;
e183.. x181 - 2.54515263975353*b413 =L= 0;
e184.. x184 + 2.54515263975353*b412 =L= 2.54515263975353;
e185.. x185 + 2.54515263975353*b413 =L= 2.54515263975353;
e186.. x226 - 1.26558121681553*b412 =L= 0;
e187.. x227 - 1.26558121681553*b413 =L= 0;
e188.. x228 + 1.26558121681553*b412 =L= 1.26558121681553;
e189.. x229 + 1.26558121681553*b413 =L= 1.26558121681553;
e190.. - 0.9*x198 + x230 =E= 0;
e191.. - 0.9*x199 + x231 =E= 0;
e192.. x200 =E= 0;
e193.. x201 =E= 0;
e194.. x232 =E= 0;
e195.. x233 =E= 0;
e196.. x36 - x198 - x200 =E= 0;
e197.. x37 - x199 - x201 =E= 0;
e198.. x48 - x230 - x232 =E= 0;
e199.. x49 - x231 - x233 =E= 0;
e200.. x198 - 15*b414 =L= 0;
e201.. x199 - 15*b415 =L= 0;
e202.. x200 + 15*b414 =L= 15;
e203.. x201 + 15*b415 =L= 15;
e204.. x230 - 13.5*b414 =L= 0;
e205.. x231 - 13.5*b415 =L= 0;
e206.. x232 + 13.5*b414 =L= 13.5;
e207.. x233 + 13.5*b415 =L= 13.5;
e208.. - 0.6*x202 + x234 =E= 0;
e209.. - 0.6*x203 + x235 =E= 0;
e210.. x204 =E= 0;
e211.. x205 =E= 0;
e212.. x236 =E= 0;
e213.. x237 =E= 0;
e214.. x38 - x202 - x204 =E= 0;
e215.. x39 - x203 - x205 =E= 0;
e216.. x50 - x234 - x236 =E= 0;
e217.. x51 - x235 - x237 =E= 0;
e218.. x202 - 15*b416 =L= 0;
e219.. x203 - 15*b417 =L= 0;
e220.. x204 + 15*b416 =L= 15;
e221.. x205 + 15*b417 =L= 15;
e222.. x234 - 9*b416 =L= 0;
e223.. x235 - 9*b417 =L= 0;
e224.. x236 + 9*b416 =L= 9;
e225.. x237 + 9*b417 =L= 9;
e226.. (x238/(0.001 + 0.999*b418) - 1.1*log(1 + x206/(0.001 + 0.999*b418)))*(
0.001 + 0.999*b418) =L= 0;
e227.. (x239/(0.001 + 0.999*b419) - 1.1*log(1 + x207/(0.001 + 0.999*b419)))*(
0.001 + 0.999*b419) =L= 0;
e228.. x208 =E= 0;
e229.. x209 =E= 0;
e230.. x240 =E= 0;
e231.. x241 =E= 0;
e232.. x40 - x206 - x208 =E= 0;
e233.. x41 - x207 - x209 =E= 0;
e234.. x52 - x238 - x240 =E= 0;
e235.. x53 - x239 - x241 =E= 0;
e236.. x206 - 15*b418 =L= 0;
e237.. x207 - 15*b419 =L= 0;
e238.. x208 + 15*b418 =L= 15;
e239.. x209 + 15*b419 =L= 15;
e240.. x238 - 3.04984759446376*b418 =L= 0;
e241.. x239 - 3.04984759446376*b419 =L= 0;
e242.. x240 + 3.04984759446376*b418 =L= 3.04984759446376;
e243.. x241 + 3.04984759446376*b419 =L= 3.04984759446376;
e244.. - 0.9*x212 + x278 =E= 0;
e245.. - 0.9*x213 + x279 =E= 0;
e246.. - x250 + x278 =E= 0;
e247.. - x251 + x279 =E= 0;
e248.. x216 =E= 0;
e249.. x217 =E= 0;
e250.. x252 =E= 0;
e251.. x253 =E= 0;
e252.. x280 =E= 0;
e253.. x281 =E= 0;
e254.. x42 - x212 - x216 =E= 0;
e255.. x43 - x213 - x217 =E= 0;
e256.. x58 - x250 - x252 =E= 0;
e257.. x59 - x251 - x253 =E= 0;
e258.. x74 - x278 - x280 =E= 0;
e259.. x75 - x279 - x281 =E= 0;
e260.. x212 - 1.83548069293539*b420 =L= 0;
e261.. x213 - 1.83548069293539*b421 =L= 0;
e262.. x216 + 1.83548069293539*b420 =L= 1.83548069293539;
e263.. x217 + 1.83548069293539*b421 =L= 1.83548069293539;
e264.. x250 - 20*b420 =L= 0;
e265.. x251 - 20*b421 =L= 0;
e266.. x252 + 20*b420 =L= 20;
e267.. x253 + 20*b421 =L= 20;
e268.. x278 - 20*b420 =L= 0;
e269.. x279 - 20*b421 =L= 0;
e270.. x280 + 20*b420 =L= 20;
e271.. x281 + 20*b421 =L= 20;
e272.. (x282/(0.001 + 0.999*b422) - log(1 + x220/(0.001 + 0.999*b422)))*(0.001
+ 0.999*b422) =L= 0;
e273.. (x283/(0.001 + 0.999*b423) - log(1 + x221/(0.001 + 0.999*b423)))*(0.001
+ 0.999*b423) =L= 0;
e274.. x224 =E= 0;
e275.. x225 =E= 0;
e276.. x284 =E= 0;
e277.. x285 =E= 0;
e278.. x44 - x220 - x224 =E= 0;
e279.. x45 - x221 - x225 =E= 0;
e280.. x76 - x282 - x284 =E= 0;
e281.. x77 - x283 - x285 =E= 0;
e282.. x220 - 1.32154609891348*b422 =L= 0;
e283.. x221 - 1.32154609891348*b423 =L= 0;
e284.. x224 + 1.32154609891348*b422 =L= 1.32154609891348;
e285.. x225 + 1.32154609891348*b423 =L= 1.32154609891348;
e286.. x282 - 0.842233385663186*b422 =L= 0;
e287.. x283 - 0.842233385663186*b423 =L= 0;
e288.. x284 + 0.842233385663186*b422 =L= 0.842233385663186;
e289.. x285 + 0.842233385663186*b423 =L= 0.842233385663186;
e290.. (x286/(0.001 + 0.999*b424) - 0.7*log(1 + x242/(0.001 + 0.999*b424)))*(
0.001 + 0.999*b424) =L= 0;
e291.. (x287/(0.001 + 0.999*b425) - 0.7*log(1 + x243/(0.001 + 0.999*b425)))*(
0.001 + 0.999*b425) =L= 0;
e292.. x244 =E= 0;
e293.. x245 =E= 0;
e294.. x288 =E= 0;
e295.. x289 =E= 0;
e296.. x54 - x242 - x244 =E= 0;
e297.. x55 - x243 - x245 =E= 0;
e298.. x78 - x286 - x288 =E= 0;
e299.. x79 - x287 - x289 =E= 0;
e300.. x242 - 1.26558121681553*b424 =L= 0;
e301.. x243 - 1.26558121681553*b425 =L= 0;
e302.. x244 + 1.26558121681553*b424 =L= 1.26558121681553;
e303.. x245 + 1.26558121681553*b425 =L= 1.26558121681553;
e304.. x286 - 0.572481933717686*b424 =L= 0;
e305.. x287 - 0.572481933717686*b425 =L= 0;
e306.. x288 + 0.572481933717686*b424 =L= 0.572481933717686;
e307.. x289 + 0.572481933717686*b425 =L= 0.572481933717686;
e308.. (x290/(0.001 + 0.999*b426) - 0.65*log(1 + x246/(0.001 + 0.999*b426)))*(
0.001 + 0.999*b426) =L= 0;
e309.. (x291/(0.001 + 0.999*b427) - 0.65*log(1 + x247/(0.001 + 0.999*b427)))*(
0.001 + 0.999*b427) =L= 0;
e310.. (x290/(0.001 + 0.999*b426) - 0.65*log(1 + x254/(0.001 + 0.999*b426)))*(
0.001 + 0.999*b426) =L= 0;
e311.. (x291/(0.001 + 0.999*b427) - 0.65*log(1 + x255/(0.001 + 0.999*b427)))*(
0.001 + 0.999*b427) =L= 0;
e312.. x248 =E= 0;
e313.. x249 =E= 0;
e314.. x256 =E= 0;
e315.. x257 =E= 0;
e316.. x292 =E= 0;
e317.. x293 =E= 0;
e318.. x56 - x246 - x248 =E= 0;
e319.. x57 - x247 - x249 =E= 0;
e320.. x62 - x254 - x256 =E= 0;
e321.. x63 - x255 - x257 =E= 0;
e322.. x80 - x290 - x292 =E= 0;
e323.. x81 - x291 - x293 =E= 0;
e324.. x246 - 1.26558121681553*b426 =L= 0;
e325.. x247 - 1.26558121681553*b427 =L= 0;
e326.. x248 + 1.26558121681553*b426 =L= 1.26558121681553;
e327.. x249 + 1.26558121681553*b427 =L= 1.26558121681553;
e328.. x254 - 33.5*b426 =L= 0;
e329.. x255 - 33.5*b427 =L= 0;
e330.. x256 + 33.5*b426 =L= 33.5;
e331.. x257 + 33.5*b427 =L= 33.5;
e332.. x290 - 2.30162356062425*b426 =L= 0;
e333.. x291 - 2.30162356062425*b427 =L= 0;
e334.. x292 + 2.30162356062425*b426 =L= 2.30162356062425;
e335.. x293 + 2.30162356062425*b427 =L= 2.30162356062425;
e336.. - x258 + x294 =E= 0;
e337.. - x259 + x295 =E= 0;
e338.. x260 =E= 0;
e339.. x261 =E= 0;
e340.. x296 =E= 0;
e341.. x297 =E= 0;
e342.. x64 - x258 - x260 =E= 0;
e343.. x65 - x259 - x261 =E= 0;
e344.. x82 - x294 - x296 =E= 0;
e345.. x83 - x295 - x297 =E= 0;
e346.. x258 - 9*b428 =L= 0;
e347.. x259 - 9*b429 =L= 0;
e348.. x260 + 9*b428 =L= 9;
e349.. x261 + 9*b429 =L= 9;
e350.. x294 - 9*b428 =L= 0;
e351.. x295 - 9*b429 =L= 0;
e352.. x296 + 9*b428 =L= 9;
e353.. x297 + 9*b429 =L= 9;
e354.. - x262 + x298 =E= 0;
e355.. - x263 + x299 =E= 0;
e356.. x264 =E= 0;
e357.. x265 =E= 0;
e358.. x300 =E= 0;
e359.. x301 =E= 0;
e360.. x66 - x262 - x264 =E= 0;
e361.. x67 - x263 - x265 =E= 0;
e362.. x84 - x298 - x300 =E= 0;
e363.. x85 - x299 - x301 =E= 0;
e364.. x262 - 9*b430 =L= 0;
e365.. x263 - 9*b431 =L= 0;
e366.. x264 + 9*b430 =L= 9;
e367.. x265 + 9*b431 =L= 9;
e368.. x298 - 9*b430 =L= 0;
e369.. x299 - 9*b431 =L= 0;
e370.. x300 + 9*b430 =L= 9;
e371.. x301 + 9*b431 =L= 9;
e372.. (x302/(0.001 + 0.999*b432) - 0.75*log(1 + x266/(0.001 + 0.999*b432)))*(
0.001 + 0.999*b432) =L= 0;
e373.. (x303/(0.001 + 0.999*b433) - 0.75*log(1 + x267/(0.001 + 0.999*b433)))*(
0.001 + 0.999*b433) =L= 0;
e374.. x268 =E= 0;
e375.. x269 =E= 0;
e376.. x304 =E= 0;
e377.. x305 =E= 0;
e378.. x68 - x266 - x268 =E= 0;
e379.. x69 - x267 - x269 =E= 0;
e380.. x86 - x302 - x304 =E= 0;
e381.. x87 - x303 - x305 =E= 0;
e382.. x266 - 3.04984759446376*b432 =L= 0;
e383.. x267 - 3.04984759446376*b433 =L= 0;
e384.. x268 + 3.04984759446376*b432 =L= 3.04984759446376;
e385.. x269 + 3.04984759446376*b433 =L= 3.04984759446376;
e386.. x302 - 1.04900943706034*b432 =L= 0;
e387.. x303 - 1.04900943706034*b433 =L= 0;
e388.. x304 + 1.04900943706034*b432 =L= 1.04900943706034;
e389.. x305 + 1.04900943706034*b433 =L= 1.04900943706034;
e390.. (x306/(0.001 + 0.999*b434) - 0.8*log(1 + x270/(0.001 + 0.999*b434)))*(
0.001 + 0.999*b434) =L= 0;
e391.. (x307/(0.001 + 0.999*b435) - 0.8*log(1 + x271/(0.001 + 0.999*b435)))*(
0.001 + 0.999*b435) =L= 0;
e392.. x272 =E= 0;
e393.. x273 =E= 0;
e394.. x308 =E= 0;
e395.. x309 =E= 0;
e396.. x70 - x270 - x272 =E= 0;
e397.. x71 - x271 - x273 =E= 0;
e398.. x88 - x306 - x308 =E= 0;
e399.. x89 - x307 - x309 =E= 0;
e400.. x270 - 3.04984759446376*b434 =L= 0;
e401.. x271 - 3.04984759446376*b435 =L= 0;
e402.. x272 + 3.04984759446376*b434 =L= 3.04984759446376;
e403.. x273 + 3.04984759446376*b435 =L= 3.04984759446376;
e404.. x306 - 1.11894339953103*b434 =L= 0;
e405.. x307 - 1.11894339953103*b435 =L= 0;
e406.. x308 + 1.11894339953103*b434 =L= 1.11894339953103;
e407.. x309 + 1.11894339953103*b435 =L= 1.11894339953103;
e408.. (x310/(0.001 + 0.999*b436) - 0.85*log(1 + x274/(0.001 + 0.999*b436)))*(
0.001 + 0.999*b436) =L= 0;
e409.. (x311/(0.001 + 0.999*b437) - 0.85*log(1 + x275/(0.001 + 0.999*b437)))*(
0.001 + 0.999*b437) =L= 0;
e410.. x276 =E= 0;
e411.. x277 =E= 0;
e412.. x312 =E= 0;
e413.. x313 =E= 0;
e414.. x72 - x274 - x276 =E= 0;
e415.. x73 - x275 - x277 =E= 0;
e416.. x90 - x310 - x312 =E= 0;
e417.. x91 - x311 - x313 =E= 0;
e418.. x274 - 3.04984759446376*b436 =L= 0;
e419.. x275 - 3.04984759446376*b437 =L= 0;
e420.. x276 + 3.04984759446376*b436 =L= 3.04984759446376;
e421.. x277 + 3.04984759446376*b437 =L= 3.04984759446376;
e422.. x310 - 1.18887736200171*b436 =L= 0;
e423.. x311 - 1.18887736200171*b437 =L= 0;
e424.. x312 + 1.18887736200171*b436 =L= 1.18887736200171;
e425.. x313 + 1.18887736200171*b437 =L= 1.18887736200171;
e426.. (x322/(0.001 + 0.999*b438) - log(1 + x314/(0.001 + 0.999*b438)))*(0.001
+ 0.999*b438) =L= 0;
e427.. (x323/(0.001 + 0.999*b439) - log(1 + x315/(0.001 + 0.999*b439)))*(0.001
+ 0.999*b439) =L= 0;
e428.. x316 =E= 0;
e429.. x317 =E= 0;
e430.. x324 =E= 0;
e431.. x325 =E= 0;
e432.. x94 - x314 - x316 =E= 0;
e433.. x95 - x315 - x317 =E= 0;
e434.. x98 - x322 - x324 =E= 0;
e435.. x99 - x323 - x325 =E= 0;
e436.. x314 - 1.18887736200171*b438 =L= 0;
e437.. x315 - 1.18887736200171*b439 =L= 0;
e438.. x316 + 1.18887736200171*b438 =L= 1.18887736200171;
e439.. x317 + 1.18887736200171*b439 =L= 1.18887736200171;
e440.. x322 - 0.78338879230327*b438 =L= 0;
e441.. x323 - 0.78338879230327*b439 =L= 0;
e442.. x324 + 0.78338879230327*b438 =L= 0.78338879230327;
e443.. x325 + 0.78338879230327*b439 =L= 0.78338879230327;
e444.. (x326/(0.001 + 0.999*b440) - 1.2*log(1 + x318/(0.001 + 0.999*b440)))*(
0.001 + 0.999*b440) =L= 0;
e445.. (x327/(0.001 + 0.999*b441) - 1.2*log(1 + x319/(0.001 + 0.999*b441)))*(
0.001 + 0.999*b441) =L= 0;
e446.. x320 =E= 0;
e447.. x321 =E= 0;
e448.. x328 =E= 0;
e449.. x329 =E= 0;
e450.. x96 - x318 - x320 =E= 0;
e451.. x97 - x319 - x321 =E= 0;
e452.. x100 - x326 - x328 =E= 0;
e453.. x101 - x327 - x329 =E= 0;
e454.. x318 - 1.18887736200171*b440 =L= 0;
e455.. x319 - 1.18887736200171*b441 =L= 0;
e456.. x320 + 1.18887736200171*b440 =L= 1.18887736200171;
e457.. x321 + 1.18887736200171*b441 =L= 1.18887736200171;
e458.. x326 - 0.940066550763924*b440 =L= 0;
e459.. x327 - 0.940066550763924*b441 =L= 0;
e460.. x328 + 0.940066550763924*b440 =L= 0.940066550763924;
e461.. x329 + 0.940066550763924*b441 =L= 0.940066550763924;
e462.. - 0.75*x330 + x346 =E= 0;
e463.. - 0.75*x331 + x347 =E= 0;
e464.. x332 =E= 0;
e465.. x333 =E= 0;
e466.. x348 =E= 0;
e467.. x349 =E= 0;
e468.. x108 - x330 - x332 =E= 0;
e469.. x109 - x331 - x333 =E= 0;
e470.. x116 - x346 - x348 =E= 0;
e471.. x117 - x347 - x349 =E= 0;
e472.. x330 - 0.940066550763924*b442 =L= 0;
e473.. x331 - 0.940066550763924*b443 =L= 0;
e474.. x332 + 0.940066550763924*b442 =L= 0.940066550763924;
e475.. x333 + 0.940066550763924*b443 =L= 0.940066550763924;
e476.. x346 - 0.705049913072943*b442 =L= 0;
e477.. x347 - 0.705049913072943*b443 =L= 0;
e478.. x348 + 0.705049913072943*b442 =L= 0.705049913072943;
e479.. x349 + 0.705049913072943*b443 =L= 0.705049913072943;
e480.. (x350/(0.001 + 0.999*b444) - 1.5*log(1 + x334/(0.001 + 0.999*b444)))*(
0.001 + 0.999*b444) =L= 0;
e481.. (x351/(0.001 + 0.999*b445) - 1.5*log(1 + x335/(0.001 + 0.999*b445)))*(
0.001 + 0.999*b445) =L= 0;
e482.. x336 =E= 0;
e483.. x337 =E= 0;
e484.. x354 =E= 0;
e485.. x355 =E= 0;
e486.. x110 - x334 - x336 =E= 0;
e487.. x111 - x335 - x337 =E= 0;
e488.. x118 - x350 - x354 =E= 0;
e489.. x119 - x351 - x355 =E= 0;
e490.. x334 - 0.940066550763924*b444 =L= 0;
e491.. x335 - 0.940066550763924*b445 =L= 0;
e492.. x336 + 0.940066550763924*b444 =L= 0.940066550763924;
e493.. x337 + 0.940066550763924*b445 =L= 0.940066550763924;
e494.. x350 - 0.994083415506506*b444 =L= 0;
e495.. x351 - 0.994083415506506*b445 =L= 0;
e496.. x354 + 0.994083415506506*b444 =L= 0.994083415506506;
e497.. x355 + 0.994083415506506*b445 =L= 0.994083415506506;
e498.. - x338 + x358 =E= 0;
e499.. - x339 + x359 =E= 0;
e500.. - 0.5*x342 + x358 =E= 0;
e501.. - 0.5*x343 + x359 =E= 0;
e502.. x340 =E= 0;
e503.. x341 =E= 0;
e504.. x344 =E= 0;
e505.. x345 =E= 0;
e506.. x360 =E= 0;
e507.. x361 =E= 0;
e508.. x112 - x338 - x340 =E= 0;
e509.. x113 - x339 - x341 =E= 0;
e510.. x114 - x342 - x344 =E= 0;
e511.. x115 - x343 - x345 =E= 0;
e512.. x120 - x358 - x360 =E= 0;
e513.. x121 - x359 - x361 =E= 0;
e514.. x338 - 0.940066550763924*b446 =L= 0;
e515.. x339 - 0.940066550763924*b447 =L= 0;
e516.. x340 + 0.940066550763924*b446 =L= 0.940066550763924;
e517.. x341 + 0.940066550763924*b447 =L= 0.940066550763924;
e518.. x342 - 30*b446 =L= 0;
e519.. x343 - 30*b447 =L= 0;
e520.. x344 + 30*b446 =L= 30;
e521.. x345 + 30*b447 =L= 30;
e522.. x358 - 15*b446 =L= 0;
e523.. x359 - 15*b447 =L= 0;
e524.. x360 + 15*b446 =L= 15;
e525.. x361 + 15*b447 =L= 15;
e526.. (x378/(0.001 + 0.999*b448) - 1.25*log(1 + x362/(0.001 + 0.999*b448)))*(
0.001 + 0.999*b448) =L= 0;
e527.. (x379/(0.001 + 0.999*b449) - 1.25*log(1 + x363/(0.001 + 0.999*b449)))*(
0.001 + 0.999*b449) =L= 0;
e528.. x364 =E= 0;
e529.. x365 =E= 0;
e530.. x380 =E= 0;
e531.. x381 =E= 0;
e532.. x122 - x362 - x364 =E= 0;
e533.. x123 - x363 - x365 =E= 0;
e534.. x132 - x378 - x380 =E= 0;
e535.. x133 - x379 - x381 =E= 0;
e536.. x362 - 0.705049913072943*b448 =L= 0;
e537.. x363 - 0.705049913072943*b449 =L= 0;
e538.. x364 + 0.705049913072943*b448 =L= 0.705049913072943;
e539.. x365 + 0.705049913072943*b449 =L= 0.705049913072943;
e540.. x378 - 0.666992981045719*b448 =L= 0;
e541.. x379 - 0.666992981045719*b449 =L= 0;
e542.. x380 + 0.666992981045719*b448 =L= 0.666992981045719;
e543.. x381 + 0.666992981045719*b449 =L= 0.666992981045719;
e544.. (x382/(0.001 + 0.999*b450) - 0.9*log(1 + x366/(0.001 + 0.999*b450)))*(
0.001 + 0.999*b450) =L= 0;
e545.. (x383/(0.001 + 0.999*b451) - 0.9*log(1 + x367/(0.001 + 0.999*b451)))*(
0.001 + 0.999*b451) =L= 0;
e546.. x368 =E= 0;
e547.. x369 =E= 0;
e548.. x384 =E= 0;
e549.. x385 =E= 0;
e550.. x124 - x366 - x368 =E= 0;
e551.. x125 - x367 - x369 =E= 0;
e552.. x134 - x382 - x384 =E= 0;
e553.. x135 - x383 - x385 =E= 0;
e554.. x366 - 0.705049913072943*b450 =L= 0;
e555.. x367 - 0.705049913072943*b451 =L= 0;
e556.. x368 + 0.705049913072943*b450 =L= 0.705049913072943;
e557.. x369 + 0.705049913072943*b451 =L= 0.705049913072943;
e558.. x382 - 0.480234946352917*b450 =L= 0;
e559.. x383 - 0.480234946352917*b451 =L= 0;
e560.. x384 + 0.480234946352917*b450 =L= 0.480234946352917;
e561.. x385 + 0.480234946352917*b451 =L= 0.480234946352917;
e562.. (x386/(0.001 + 0.999*b452) - log(1 + x352/(0.001 + 0.999*b452)))*(0.001
+ 0.999*b452) =L= 0;
e563.. (x387/(0.001 + 0.999*b453) - log(1 + x353/(0.001 + 0.999*b453)))*(0.001
+ 0.999*b453) =L= 0;
e564.. x356 =E= 0;
e565.. x357 =E= 0;
e566.. x388 =E= 0;
e567.. x389 =E= 0;
e568.. x118 - x352 - x356 =E= 0;
e569.. x119 - x353 - x357 =E= 0;
e570.. x136 - x386 - x388 =E= 0;
e571.. x137 - x387 - x389 =E= 0;
e572.. x352 - 0.994083415506506*b452 =L= 0;
e573.. x353 - 0.994083415506506*b453 =L= 0;
e574.. x356 + 0.994083415506506*b452 =L= 0.994083415506506;
e575.. x357 + 0.994083415506506*b453 =L= 0.994083415506506;
e576.. x386 - 0.690184503917672*b452 =L= 0;
e577.. x387 - 0.690184503917672*b453 =L= 0;
e578.. x388 + 0.690184503917672*b452 =L= 0.690184503917672;
e579.. x389 + 0.690184503917672*b453 =L= 0.690184503917672;
e580.. - 0.9*x370 + x390 =E= 0;
e581.. - 0.9*x371 + x391 =E= 0;
e582.. x372 =E= 0;
e583.. x373 =E= 0;
e584.. x392 =E= 0;
e585.. x393 =E= 0;
e586.. x126 - x370 - x372 =E= 0;
e587.. x127 - x371 - x373 =E= 0;
e588.. x138 - x390 - x392 =E= 0;
e589.. x139 - x391 - x393 =E= 0;
e590.. x370 - 15*b454 =L= 0;
e591.. x371 - 15*b455 =L= 0;
e592.. x372 + 15*b454 =L= 15;
e593.. x373 + 15*b455 =L= 15;
e594.. x390 - 13.5*b454 =L= 0;
e595.. x391 - 13.5*b455 =L= 0;
e596.. x392 + 13.5*b454 =L= 13.5;
e597.. x393 + 13.5*b455 =L= 13.5;
e598.. - 0.6*x374 + x394 =E= 0;
e599.. - 0.6*x375 + x395 =E= 0;
e600.. x376 =E= 0;
e601.. x377 =E= 0;
e602.. x396 =E= 0;
e603.. x397 =E= 0;
e604.. x128 - x374 - x376 =E= 0;
e605.. x129 - x375 - x377 =E= 0;
e606.. x140 - x394 - x396 =E= 0;
e607.. x141 - x395 - x397 =E= 0;
e608.. x374 - 15*b456 =L= 0;
e609.. x375 - 15*b457 =L= 0;
e610.. x376 + 15*b456 =L= 15;
e611.. x377 + 15*b457 =L= 15;
e612.. x394 - 9*b456 =L= 0;
e613.. x395 - 9*b457 =L= 0;
e614.. x396 + 9*b456 =L= 9;
e615.. x397 + 9*b457 =L= 9;
e616.. 5*b458 + x518 =E= 0;
e617.. 4*b459 + x519 =E= 0;
e618.. 8*b460 + x520 =E= 0;
e619.. 7*b461 + x521 =E= 0;
e620.. 6*b462 + x522 =E= 0;
e621.. 9*b463 + x523 =E= 0;
e622.. 10*b464 + x524 =E= 0;
e623.. 9*b465 + x525 =E= 0;
e624.. 6*b466 + x526 =E= 0;
e625.. 10*b467 + x527 =E= 0;
e626.. 7*b468 + x528 =E= 0;
e627.. 7*b469 + x529 =E= 0;
e628.. 4*b470 + x530 =E= 0;
e629.. 3*b471 + x531 =E= 0;
e630.. 5*b472 + x532 =E= 0;
e631.. 6*b473 + x533 =E= 0;
e632.. 2*b474 + x534 =E= 0;
e633.. 5*b475 + x535 =E= 0;
e634.. 4*b476 + x536 =E= 0;
e635.. 7*b477 + x537 =E= 0;
e636.. 3*b478 + x538 =E= 0;
e637.. 9*b479 + x539 =E= 0;
e638.. 7*b480 + x540 =E= 0;
e639.. 2*b481 + x541 =E= 0;
e640.. 3*b482 + x542 =E= 0;
e641.. b483 + x543 =E= 0;
e642.. 2*b484 + x544 =E= 0;
e643.. 6*b485 + x545 =E= 0;
e644.. 4*b486 + x546 =E= 0;
e645.. 8*b487 + x547 =E= 0;
e646.. 2*b488 + x548 =E= 0;
e647.. 5*b489 + x549 =E= 0;
e648.. 3*b490 + x550 =E= 0;
e649.. 4*b491 + x551 =E= 0;
e650.. 5*b492 + x552 =E= 0;
e651.. 7*b493 + x553 =E= 0;
e652.. 2*b494 + x554 =E= 0;
e653.. 8*b495 + x555 =E= 0;
e654.. b496 + x556 =E= 0;
e655.. 4*b497 + x557 =E= 0;
e656.. 2*b498 + x558 =E= 0;
e657.. 5*b499 + x559 =E= 0;
e658.. 9*b500 + x560 =E= 0;
e659.. 2*b501 + x561 =E= 0;
e660.. 5*b502 + x562 =E= 0;
e661.. 8*b503 + x563 =E= 0;
e662.. 2*b504 + x564 =E= 0;
e663.. 3*b505 + x565 =E= 0;
e664.. 10*b506 + x566 =E= 0;
e665.. 6*b507 + x567 =E= 0;
e666.. 4*b508 + x568 =E= 0;
e667.. 8*b509 + x569 =E= 0;
e668.. 7*b510 + x570 =E= 0;
e669.. 3*b511 + x571 =E= 0;
e670.. 4*b512 + x572 =E= 0;
e671.. 8*b513 + x573 =E= 0;
e672.. 2*b514 + x574 =E= 0;
e673.. b515 + x575 =E= 0;
e674.. 8*b516 + x576 =E= 0;
e675.. 3*b517 + x577 =E= 0;
e676.. b398 - b399 =L= 0;
e677.. b400 - b401 =L= 0;
e678.. b402 - b403 =L= 0;
e679.. b404 - b405 =L= 0;
e680.. b406 - b407 =L= 0;
e681.. b408 - b409 =L= 0;
e682.. b410 - b411 =L= 0;
e683.. b412 - b413 =L= 0;
e684.. b414 - b415 =L= 0;
e685.. b416 - b417 =L= 0;
e686.. b418 - b419 =L= 0;
e687.. b420 - b421 =L= 0;
e688.. b422 - b423 =L= 0;
e689.. b424 - b425 =L= 0;
e690.. b426 - b427 =L= 0;
e691.. b428 - b429 =L= 0;
e692.. b430 - b431 =L= 0;
e693.. b432 - b433 =L= 0;
e694.. b434 - b435 =L= 0;
e695.. b436 - b437 =L= 0;
e696.. b438 - b439 =L= 0;
e697.. b440 - b441 =L= 0;
e698.. b442 - b443 =L= 0;
e699.. b444 - b445 =L= 0;
e700.. b446 - b447 =L= 0;
e701.. b448 - b449 =L= 0;
e702.. b450 - b451 =L= 0;
e703.. b452 - b453 =L= 0;
e704.. b454 - b455 =L= 0;
e705.. b456 - b457 =L= 0;
e706.. b458 + b459 =L= 1;
e707.. b458 + b459 =L= 1;
e708.. b460 + b461 =L= 1;
e709.. b460 + b461 =L= 1;
e710.. b462 + b463 =L= 1;
e711.. b462 + b463 =L= 1;
e712.. b464 + b465 =L= 1;
e713.. b464 + b465 =L= 1;
e714.. b466 + b467 =L= 1;
e715.. b466 + b467 =L= 1;
e716.. b468 + b469 =L= 1;
e717.. b468 + b469 =L= 1;
e718.. b470 + b471 =L= 1;
e719.. b470 + b471 =L= 1;
e720.. b472 + b473 =L= 1;
e721.. b472 + b473 =L= 1;
e722.. b474 + b475 =L= 1;
e723.. b474 + b475 =L= 1;
e724.. b476 + b477 =L= 1;
e725.. b476 + b477 =L= 1;
e726.. b478 + b479 =L= 1;
e727.. b478 + b479 =L= 1;
e728.. b480 + b481 =L= 1;
e729.. b480 + b481 =L= 1;
e730.. b482 + b483 =L= 1;
e731.. b482 + b483 =L= 1;
e732.. b484 + b485 =L= 1;
e733.. b484 + b485 =L= 1;
e734.. b486 + b487 =L= 1;
e735.. b486 + b487 =L= 1;
e736.. b488 + b489 =L= 1;
e737.. b488 + b489 =L= 1;
e738.. b490 + b491 =L= 1;
e739.. b490 + b491 =L= 1;
e740.. b492 + b493 =L= 1;
e741.. b492 + b493 =L= 1;
e742.. b494 + b495 =L= 1;
e743.. b494 + b495 =L= 1;
e744.. b496 + b497 =L= 1;
e745.. b496 + b497 =L= 1;
e746.. b498 + b499 =L= 1;
e747.. b498 + b499 =L= 1;
e748.. b500 + b501 =L= 1;
e749.. b500 + b501 =L= 1;
e750.. b502 + b503 =L= 1;
e751.. b502 + b503 =L= 1;
e752.. b504 + b505 =L= 1;
e753.. b504 + b505 =L= 1;
e754.. b506 + b507 =L= 1;
e755.. b506 + b507 =L= 1;
e756.. b508 + b509 =L= 1;
e757.. b508 + b509 =L= 1;
e758.. b510 + b511 =L= 1;
e759.. b510 + b511 =L= 1;
e760.. b512 + b513 =L= 1;
e761.. b512 + b513 =L= 1;
e762.. b514 + b515 =L= 1;
e763.. b514 + b515 =L= 1;
e764.. b516 + b517 =L= 1;
e765.. b516 + b517 =L= 1;
e766.. b398 - b458 =L= 0;
e767.. - b398 + b399 - b459 =L= 0;
e768.. b400 - b460 =L= 0;
e769.. - b400 + b401 - b461 =L= 0;
e770.. b402 - b462 =L= 0;
e771.. - b402 + b403 - b463 =L= 0;
e772.. b404 - b464 =L= 0;
e773.. - b404 + b405 - b465 =L= 0;
e774.. b406 - b466 =L= 0;
e775.. - b406 + b407 - b467 =L= 0;
e776.. b408 - b468 =L= 0;
e777.. - b408 + b409 - b469 =L= 0;
e778.. b410 - b470 =L= 0;
e779.. - b410 + b411 - b471 =L= 0;
e780.. b412 - b472 =L= 0;
e781.. - b412 + b413 - b473 =L= 0;
e782.. b414 - b474 =L= 0;
e783.. - b414 + b415 - b475 =L= 0;
e784.. b416 - b476 =L= 0;
e785.. - b416 + b417 - b477 =L= 0;
e786.. b418 - b478 =L= 0;
e787.. - b418 + b419 - b479 =L= 0;
e788.. b420 - b480 =L= 0;
e789.. - b420 + b421 - b481 =L= 0;
e790.. b422 - b482 =L= 0;
e791.. - b422 + b423 - b483 =L= 0;
e792.. b424 - b484 =L= 0;
e793.. - b424 + b425 - b485 =L= 0;
e794.. b426 - b486 =L= 0;
e795.. - b426 + b427 - b487 =L= 0;
e796.. b428 - b488 =L= 0;
e797.. - b428 + b429 - b489 =L= 0;
e798.. b430 - b490 =L= 0;
e799.. - b430 + b431 - b491 =L= 0;
e800.. b432 - b492 =L= 0;
e801.. - b432 + b433 - b493 =L= 0;
e802.. b434 - b494 =L= 0;
e803.. - b434 + b435 - b495 =L= 0;
e804.. b436 - b496 =L= 0;
e805.. - b436 + b437 - b497 =L= 0;
e806.. b438 - b498 =L= 0;
e807.. - b438 + b439 - b499 =L= 0;
e808.. b440 - b500 =L= 0;
e809.. - b440 + b441 - b501 =L= 0;
e810.. b442 - b502 =L= 0;
e811.. - b442 + b443 - b503 =L= 0;
e812.. b444 - b504 =L= 0;
e813.. - b444 + b445 - b505 =L= 0;
e814.. b446 - b506 =L= 0;
e815.. - b446 + b447 - b507 =L= 0;
e816.. b448 - b508 =L= 0;
e817.. - b448 + b449 - b509 =L= 0;
e818.. b450 - b510 =L= 0;
e819.. - b450 + b451 - b511 =L= 0;
e820.. b452 - b512 =L= 0;
e821.. - b452 + b453 - b513 =L= 0;
e822.. b454 - b514 =L= 0;
e823.. - b454 + b455 - b515 =L= 0;
e824.. b456 - b516 =L= 0;
e825.. - b456 + b457 - b517 =L= 0;
e826.. b398 + b400 =E= 1;
e827.. b399 + b401 =E= 1;
e828.. - b402 + b408 + b410 =G= 0;
e829.. - b403 + b409 + b411 =G= 0;
e830.. - b408 + b420 =G= 0;
e831.. - b409 + b421 =G= 0;
e832.. - b410 + b422 =G= 0;
e833.. - b411 + b423 =G= 0;
e834.. - b404 + b412 =G= 0;
e835.. - b405 + b413 =G= 0;
e836.. - b412 + b424 + b426 =G= 0;
e837.. - b413 + b425 + b427 =G= 0;
e838.. - b406 + b414 + b416 + b418 =G= 0;
e839.. - b407 + b415 + b417 + b419 =G= 0;
e840.. - b414 + b426 =G= 0;
e841.. - b415 + b427 =G= 0;
e842.. - b416 + b428 + b430 =G= 0;
e843.. - b417 + b429 + b431 =G= 0;
e844.. - b418 + b432 + b434 + b436 =G= 0;
e845.. - b419 + b433 + b435 + b437 =G= 0;
e846.. b398 + b400 - b402 =G= 0;
e847.. b399 + b401 - b403 =G= 0;
e848.. b398 + b400 - b404 =G= 0;
e849.. b399 + b401 - b405 =G= 0;
e850.. b398 + b400 - b406 =G= 0;
e851.. b399 + b401 - b407 =G= 0;
e852.. b402 - b408 =G= 0;
e853.. b403 - b409 =G= 0;
e854.. b402 - b410 =G= 0;
e855.. b403 - b411 =G= 0;
e856.. b404 - b412 =G= 0;
e857.. b405 - b413 =G= 0;
e858.. b406 - b414 =G= 0;
e859.. b407 - b415 =G= 0;
e860.. b406 - b416 =G= 0;
e861.. b407 - b417 =G= 0;
e862.. b406 - b418 =G= 0;
e863.. b407 - b419 =G= 0;
e864.. b408 - b420 =G= 0;
e865.. b409 - b421 =G= 0;
e866.. b410 - b422 =G= 0;
e867.. b411 - b423 =G= 0;
e868.. b412 - b424 =G= 0;
e869.. b413 - b425 =G= 0;
e870.. b412 - b426 =G= 0;
e871.. b413 - b427 =G= 0;
e872.. b416 - b428 =G= 0;
e873.. b417 - b429 =G= 0;
e874.. b416 - b430 =G= 0;
e875.. b417 - b431 =G= 0;
e876.. b418 - b432 =G= 0;
e877.. b419 - b433 =G= 0;
e878.. b418 - b434 =G= 0;
e879.. b419 - b435 =G= 0;
e880.. b418 - b436 =G= 0;
e881.. b419 - b437 =G= 0;
e882.. - b436 + b438 + b440 =G= 0;
e883.. - b437 + b439 + b441 =G= 0;
e884.. - b442 + b448 + b450 =G= 0;
e885.. - b443 + b449 + b451 =G= 0;
e886.. - b444 + b452 =G= 0;
e887.. - b445 + b453 =G= 0;
e888.. b436 - b438 =G= 0;
e889.. b437 - b439 =G= 0;
e890.. b436 - b440 =G= 0;
e891.. b437 - b441 =G= 0;
e892.. b442 - b448 =G= 0;
e893.. b443 - b449 =G= 0;
e894.. b442 - b450 =G= 0;
e895.. b443 - b451 =G= 0;
e896.. b444 - b452 =G= 0;
e897.. b445 - b453 =G= 0;
e898.. b446 - b454 =G= 0;
e899.. b447 - b455 =G= 0;
e900.. b446 - b456 =G= 0;
e901.. b447 - b457 =G= 0;
* set non-default bounds
x2.up = 40;
x3.up = 40;
x24.up = 30;
x25.up = 30;
x58.up = 20;
x59.up = 20;
x60.up = 20;
x61.up = 20;
x114.up = 30;
x115.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: 2025-08-07 Git hash: e62cedfc