MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Removed Instance syn30m02h

Selection of optimal configuration and parameters for a processing system selected from a superstructure containing alternative processing units and interconnections.
Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
399.68359320 p1 ( gdx sol )
(infeas: 1e-14)
Other points (infeas > 1e-08)  
Dual Bounds
399.68364810 (ALPHAECP)
399.68359360 (ANTIGONE)
399.68359360 (BARON)
399.68359380 (BONMIN)
1972.67600000 (COUENNE)
399.68359320 (LINDO)
399.68420960 (SCIP)
399.68449800 (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.
Source Syn30M02H.gms from CMU-IBM MINLP solver project page
Application Synthesis of processing system
Added to library 28 Sep 2013
Removed from library 16 Feb 2022
Removed because Superseded by syn30m02hfsg.
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-06
Maximal coefficient 4.0500e+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
*        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/(1e-6 + b398) - log(1 + x142/(1e-6 + b398)))*(1e-6 + b398) =L= 0;

e37.. (x151/(1e-6 + b399) - log(1 + x143/(1e-6 + b399)))*(1e-6 + 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/(1e-6 + b400) - 1.2*log(1 + x146/(1e-6 + b400)))*(1e-6 + b400)
       =L= 0;

e55.. (x155/(1e-6 + b401) - 1.2*log(1 + x147/(1e-6 + b401)))*(1e-6 + 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/(1e-6 + b404) - 1.5*log(1 + x162/(1e-6 + b404)))*(1e-6 + b404)
       =L= 0;

e91.. (x179/(1e-6 + b405) - 1.5*log(1 + x163/(1e-6 + b405)))*(1e-6 + 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/(1e-6 + b408) - 1.25*log(1 + x190/(1e-6 + b408)))*(1e-6 + b408)
        =L= 0;

e137.. (x211/(1e-6 + b409) - 1.25*log(1 + x191/(1e-6 + b409)))*(1e-6 + 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/(1e-6 + b410) - 0.9*log(1 + x194/(1e-6 + b410)))*(1e-6 + b410)
        =L= 0;

e155.. (x219/(1e-6 + b411) - 0.9*log(1 + x195/(1e-6 + b411)))*(1e-6 + 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/(1e-6 + b412) - log(1 + x180/(1e-6 + b412)))*(1e-6 + b412) =L= 0;

e173.. (x227/(1e-6 + b413) - log(1 + x181/(1e-6 + b413)))*(1e-6 + 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/(1e-6 + b418) - 1.1*log(1 + x206/(1e-6 + b418)))*(1e-6 + b418)
        =L= 0;

e227.. (x239/(1e-6 + b419) - 1.1*log(1 + x207/(1e-6 + b419)))*(1e-6 + 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/(1e-6 + b422) - log(1 + x220/(1e-6 + b422)))*(1e-6 + b422) =L= 0;

e273.. (x283/(1e-6 + b423) - log(1 + x221/(1e-6 + b423)))*(1e-6 + 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/(1e-6 + b424) - 0.7*log(1 + x242/(1e-6 + b424)))*(1e-6 + b424)
        =L= 0;

e291.. (x287/(1e-6 + b425) - 0.7*log(1 + x243/(1e-6 + b425)))*(1e-6 + 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/(1e-6 + b426) - 0.65*log(1 + x246/(1e-6 + b426)))*(1e-6 + b426)
        =L= 0;

e309.. (x291/(1e-6 + b427) - 0.65*log(1 + x247/(1e-6 + b427)))*(1e-6 + b427)
        =L= 0;

e310.. (x290/(1e-6 + b426) - 0.65*log(1 + x254/(1e-6 + b426)))*(1e-6 + b426)
        =L= 0;

e311.. (x291/(1e-6 + b427) - 0.65*log(1 + x255/(1e-6 + b427)))*(1e-6 + 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/(1e-6 + b432) - 0.75*log(1 + x266/(1e-6 + b432)))*(1e-6 + b432)
        =L= 0;

e373.. (x303/(1e-6 + b433) - 0.75*log(1 + x267/(1e-6 + b433)))*(1e-6 + 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/(1e-6 + b434) - 0.8*log(1 + x270/(1e-6 + b434)))*(1e-6 + b434)
        =L= 0;

e391.. (x307/(1e-6 + b435) - 0.8*log(1 + x271/(1e-6 + b435)))*(1e-6 + 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/(1e-6 + b436) - 0.85*log(1 + x274/(1e-6 + b436)))*(1e-6 + b436)
        =L= 0;

e409.. (x311/(1e-6 + b437) - 0.85*log(1 + x275/(1e-6 + b437)))*(1e-6 + 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/(1e-6 + b438) - log(1 + x314/(1e-6 + b438)))*(1e-6 + b438) =L= 0;

e427.. (x323/(1e-6 + b439) - log(1 + x315/(1e-6 + b439)))*(1e-6 + 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/(1e-6 + b440) - 1.2*log(1 + x318/(1e-6 + b440)))*(1e-6 + b440)
        =L= 0;

e445.. (x327/(1e-6 + b441) - 1.2*log(1 + x319/(1e-6 + b441)))*(1e-6 + 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/(1e-6 + b444) - 1.5*log(1 + x334/(1e-6 + b444)))*(1e-6 + b444)
        =L= 0;

e481.. (x351/(1e-6 + b445) - 1.5*log(1 + x335/(1e-6 + b445)))*(1e-6 + 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/(1e-6 + b448) - 1.25*log(1 + x362/(1e-6 + b448)))*(1e-6 + b448)
        =L= 0;

e527.. (x379/(1e-6 + b449) - 1.25*log(1 + x363/(1e-6 + b449)))*(1e-6 + 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/(1e-6 + b450) - 0.9*log(1 + x366/(1e-6 + b450)))*(1e-6 + b450)
        =L= 0;

e545.. (x383/(1e-6 + b451) - 0.9*log(1 + x367/(1e-6 + b451)))*(1e-6 + 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/(1e-6 + b452) - log(1 + x352/(1e-6 + b452)))*(1e-6 + b452) =L= 0;

e563.. (x387/(1e-6 + b453) - log(1 + x353/(1e-6 + b453)))*(1e-6 + 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: 2022-04-26 Git hash: de668763
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