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Instance pooling_epa2
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | -4567.35581200 (ANTIGONE) -4567.35581200 (BARON) -4649.16000000 (COUENNE) -4567.40821100 (LINDO) -4623.09338400 (SCIP) |
| Referencesⓘ | Misener, Ruth, Gounaris, Chrysanthos, and Floudas, C A, Extended Pooling Problem with the Summer Time (EPA) Complex Emissions Constraints, 2010. |
| Sourceⓘ | pooling.gms from minlp.org model 82 |
| Applicationⓘ | Pooling problem |
| Added to libraryⓘ | 25 Sep 2013 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 331 |
| #Binary Variablesⓘ | 45 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 100 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | quadratic |
| Objective curvatureⓘ | indefinite |
| #Nonzeros in Objectiveⓘ | 30 |
| #Nonlinear Nonzeros in Objectiveⓘ | 19 |
| #Constraintsⓘ | 524 |
| #Linear Constraintsⓘ | 439 |
| #Quadratic Constraintsⓘ | 61 |
| #Polynomial Constraintsⓘ | 3 |
| #Signomial Constraintsⓘ | 3 |
| #General Nonlinear Constraintsⓘ | 18 |
| Operands in Gen. Nonlin. Functionsⓘ | exp mul vcpower |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 1883 |
| #Nonlinear Nonzeros in Jacobianⓘ | 535 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 804 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 54 |
| #Blocks in Hessian of Lagrangianⓘ | 9 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 26 |
| Average blocksize in Hessian of Lagrangianⓘ | 11.111111 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 6.6300e-07 |
| Maximal coefficientⓘ | 1.3400e+03 |
| Infeasibility of initial pointⓘ | 7000 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 525 151 96 278 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 332 287 45 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1914 1360 554 0
*
* Solve m using MINLP minimizing objvar;
Variables x1,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,objvar,b69
,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86
,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102
,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,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;
Positive Variables x1,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,x33,x35,x36
,x40,x41,x42,x43,x44,x46,x47,x51,x52,x53,x54,x55,x57,x58,x62,x63,x64
,x65,x66,x67,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;
Binary Variables b69,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83
,b84,b85,b86,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99
,b100,b101,b102,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112
,b113;
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;
e1.. -(3*x1*x11 + 3*x1*x12 + 3*x1*x13 + 2*x2*x11 + 2*x2*x12 + 2*x2*x13 + 3.5*x3
*x17 + 3.5*x3*x18 + 3.5*x3*x19 + 2*x4*x14 + 2*x4*x15 + 2*x4*x16 + x5*x14
+ x5*x15 + x5*x16 + 3*x6*x11 + 3*x6*x12 + 3*x6*x13 + 0.7*x7*x14 + 0.7*x7*
x15 + 0.7*x7*x16 + 0.5*x8*x14 + 0.5*x8*x15 + 0.5*x8*x16 + 0.3*x9*x17 + 0.3
*x9*x18 + 0.3*x9*x19 + 2.5*x10*x17 + 2.5*x10*x18 + 2.5*x10*x19 - 6.3*x11
- 5.5*x12 - 5*x13 - 6.3*x14 - 5.5*x15 - 5*x16 - 6.3*x17 - 5.5*x18 - 5*x19
) - 1.2*x20 - 2*x21 - 2.5*x22 - 4.2*x23 - 5*x24 - 5.5*x25 - 2.2*x26
- 3*x27 - 3.5*x28 + 0.8*x29 - 0.5*x31 + objvar =E= 0;
e2.. x1*x11 + x1*x12 + x1*x13 =L= 75;
e3.. x2*x11 + x2*x12 + x2*x13 =L= 50;
e4.. x3*x17 + x3*x18 + x3*x19 =L= 75;
e5.. x4*x14 + x4*x15 + x4*x16 =L= 75;
e6.. x5*x14 + x5*x15 + x5*x16 =L= 300;
e7.. x6*x11 + x6*x12 + x6*x13 =L= 150;
e8.. x7*x14 + x7*x15 + x7*x16 =L= 50;
e9.. x8*x14 + x8*x15 + x8*x16 =L= 100;
e10.. x9*x17 + x9*x18 + x9*x19 =L= 200;
e11.. x10*x17 + x10*x18 + x10*x19 =L= 100;
e12.. x20 + x21 + x22 =L= 5;
e13.. x23 + x24 + x25 =L= 10;
e14.. x26 + x27 + x28 =L= 10;
e15.. x29 + x30 + x31 =L= 100;
e16.. -(x8*x14 + x8*x15 + x8*x16) =L= -10;
e17.. -(x9*x17 + x9*x18 + x9*x19) =L= -20;
e18.. -(x10*x17 + x10*x18 + x10*x19) =L= -10;
e19.. x11 + x12 + x13 =L= 400;
e20.. x14 + x15 + x16 =L= 575;
e21.. x17 + x18 + x19 =L= 500;
e22.. x1 + x2 + x6 =E= 1;
e23.. x4 + x5 + x7 + x8 =E= 1;
e24.. x3 + x9 + x10 =E= 1;
e25.. x1*x11 + x2*x11 + x6*x11 - x11 =E= 0;
e26.. x1*x12 + x2*x12 + x6*x12 - x12 =E= 0;
e27.. x1*x13 + x2*x13 + x6*x13 - x13 =E= 0;
e28.. x4*x14 + x5*x14 + x7*x14 + x8*x14 - x14 =E= 0;
e29.. x4*x15 + x5*x15 + x7*x15 + x8*x15 - x15 =E= 0;
e30.. x4*x16 + x5*x16 + x7*x16 + x8*x16 - x16 =E= 0;
e31.. x3*x17 + x9*x17 + x10*x17 - x17 =E= 0;
e32.. x3*x18 + x9*x18 + x10*x18 - x18 =E= 0;
e33.. x3*x19 + x9*x19 + x10*x19 - x19 =E= 0;
e34.. - x11 - x14 - x17 - x20 - x23 - x26 - x29 + x32 =E= 0;
e35.. - x12 - x15 - x18 - x21 - x24 - x27 - x30 + x33 =E= 0;
e36.. - x13 - x16 - x19 - x22 - x25 - x28 - x31 + x34 =E= 0;
e37.. x35*x32 - 18.15*x20 - 15.66*x23 - 15.66*x26 - 34.73*x29 =E= 0;
e38.. x36*x32 - (50*x4*x14 + 100*x5*x14 + 15*x6*x11 + 200*x7*x14 + 400*x8*x14
+ 700*x9*x17 + 10*x10*x17) =E= 0;
e39.. x38*x32 - (100*x1*x11 + 100*x2*x11 + 50*x3*x17 + 100*x4*x14 + 70*x5*x14
+ 60*x6*x11 + 85*x7*x14 + 45*x8*x14 + 15*x9*x17 + 30*x10*x17) - 100*x20
- 95*x23 - 70*x26 - 100*x29 =E= 0;
e40.. x39*x32 - (100*x1*x11 + 100*x2*x11 + 95*x3*x17 + 100*x4*x14 + 100*x5*x14
+ 85*x6*x11 + 100*x7*x14 + 80*x8*x14 + 60*x9*x17 + 70*x10*x17) - 100*x20
- 100*x23 - 100*x26 - 100*x29 =E= 0;
e41.. x40*x32 - (7.5*x5*x14 + 3.2*x6*x11 + 10*x7*x14 + 35*x8*x14 + 65*x9*x17 +
60*x10*x17) =E= 0;
e42.. x41*x32 - (2*x5*x14 + x7*x14 + 3*x8*x14 + 4*x9*x17 + 5*x10*x17) =E= 0;
e43.. x42*x32 - (37*x5*x14 + 12*x6*x11 + 60*x7*x14 + 20*x8*x14 + 15*x9*x17 + 3*
x10*x17) =E= 0;
e44.. x43*x32 - 18.15*x20 =E= 0;
e45.. x44*x32 - 15.66*x23 =E= 0;
e46.. x45*x32 - 34.73*x29 =E= 0;
e47.. x46*x33 - 18.15*x21 - 15.66*x24 - 15.66*x27 - 34.73*x30 =E= 0;
e48.. x47*x33 - (50*x4*x15 + 100*x5*x15 + 15*x6*x12 + 200*x7*x15 + 400*x8*x15
+ 700*x9*x18 + 10*x10*x18) =E= 0;
e49.. x49*x33 - (100*x1*x12 + 100*x2*x12 + 50*x3*x18 + 100*x4*x15 + 70*x5*x15
+ 60*x6*x12 + 85*x7*x15 + 45*x8*x15 + 15*x9*x18 + 30*x10*x18) - 100*x21
- 95*x24 - 70*x27 - 100*x30 =E= 0;
e50.. x50*x33 - (100*x1*x12 + 100*x2*x12 + 95*x3*x18 + 100*x4*x15 + 100*x5*x15
+ 85*x6*x12 + 100*x7*x15 + 80*x8*x15 + 60*x9*x18 + 70*x10*x18) - 100*x21
- 100*x24 - 100*x27 - 100*x30 =E= 0;
e51.. x51*x33 - (7.5*x5*x15 + 3.2*x6*x12 + 10*x7*x15 + 35*x8*x15 + 65*x9*x18 +
60*x10*x18) =E= 0;
e52.. x52*x33 - (2*x5*x15 + x7*x15 + 3*x8*x15 + 4*x9*x18 + 5*x10*x18) =E= 0;
e53.. x53*x33 - (37*x5*x15 + 12*x6*x12 + 60*x7*x15 + 20*x8*x15 + 15*x9*x18 + 3*
x10*x18) =E= 0;
e54.. x54*x33 - 18.15*x21 =E= 0;
e55.. x55*x33 - 15.66*x24 =E= 0;
e56.. x56*x33 - 34.73*x30 =E= 0;
e57.. x57*x34 - 18.15*x22 - 15.66*x25 - 15.66*x28 - 34.73*x31 =E= 0;
e58.. x58*x34 - (50*x4*x16 + 100*x5*x16 + 15*x6*x13 + 200*x7*x16 + 400*x8*x16
+ 700*x9*x19 + 10*x10*x19) =E= 0;
e59.. x60*x34 - (100*x1*x13 + 100*x2*x13 + 50*x3*x19 + 100*x4*x16 + 70*x5*x16
+ 60*x6*x13 + 85*x7*x16 + 45*x8*x16 + 15*x9*x19 + 30*x10*x19) - 100*x22
- 95*x25 - 70*x28 - 100*x31 =E= 0;
e60.. x61*x34 - (100*x1*x13 + 100*x2*x13 + 95*x3*x19 + 100*x4*x16 + 100*x5*x16
+ 85*x6*x13 + 100*x7*x16 + 80*x8*x16 + 60*x9*x19 + 70*x10*x19) - 100*x22
- 100*x25 - 100*x28 - 100*x31 =E= 0;
e61.. x62*x34 - (7.5*x5*x16 + 3.2*x6*x13 + 10*x7*x16 + 35*x8*x16 + 65*x9*x19 +
60*x10*x19) =E= 0;
e62.. x63*x34 - (2*x5*x16 + x7*x16 + 3*x8*x16 + 4*x9*x19 + 5*x10*x19) =E= 0;
e63.. x64*x34 - (37*x5*x16 + 12*x6*x13 + 60*x7*x16 + 20*x8*x16 + 15*x9*x19 + 3*
x10*x19) =E= 0;
e64.. x65*x34 - 18.15*x22 =E= 0;
e65.. x66*x34 - 15.66*x25 =E= 0;
e66.. x67*x34 - 34.73*x31 =E= 0;
e67.. x37**1.25*x32 - (166.989461022824*x1*x11 + 44.9545980014895*x2*x11 +
12.2050524378911*x3*x17 + 17.7827941003892*x4*x14 + 15.5884572681199*x5*
x14 + 4.61688063363795*x6*x11 + 18.2284698685036*x7*x14 +
13.8760966290575*x8*x14 + 2.5279828213557*x9*x17 + 12.2050524378911*x10*
x17) - 15.1566541273553*x20 - 8.80731581347371*x23 - 3.4610247518095*x26
- 50.3685901711814*x29 =E= 0;
e68.. x48**1.25*x33 - (166.989461022824*x1*x12 + 44.9545980014895*x2*x12 +
12.2050524378911*x3*x18 + 17.7827941003892*x4*x15 + 15.5884572681199*x5*
x15 + 4.61688063363795*x6*x12 + 18.2284698685036*x7*x15 +
13.8760966290575*x8*x15 + 2.5279828213557*x9*x18 + 12.2050524378911*x10*
x18) - 15.1566541273553*x21 - 8.80731581347371*x24 - 3.4610247518095*x27
- 50.3685901711814*x30 =E= 0;
e69.. x59**1.25*x34 - (166.989461022824*x1*x13 + 44.9545980014895*x2*x13 +
12.2050524378911*x3*x19 + 17.7827941003892*x4*x16 + 15.5884572681199*x5*
x16 + 4.61688063363795*x6*x13 + 18.2284698685036*x7*x16 +
13.8760966290575*x8*x16 + 2.5279828213557*x9*x19 + 12.2050524378911*x10*
x19) - 15.1566541273553*x22 - 8.80731581347371*x25 - 3.4610247518095*x28
- 50.3685901711814*x31 =E= 0;
e70.. -53.54*(0.444*exp((-1.26152) + 0.0006197*x36 + 0.22239*x41 + 0.02655*x285
- 0.003376*x288) + 0.556*exp((-1.76845) - 0.096047*x35 + 0.000337*x36 +
0.222318*x41 + 0.011882*x285 + 0.011251*x288)) + x318 =E= 0;
e71.. -53.54*(0.444*exp((-1.26152) + 0.0006197*x47 + 0.22239*x52 + 0.02655*x286
- 0.003376*x289) + 0.556*exp((-1.76845) - 0.096047*x46 + 0.000337*x47 +
0.222318*x52 + 0.011882*x286 + 0.011251*x289)) + x319 =E= 0;
e72.. -53.54*(0.444*exp((-1.26152) + 0.0006197*x58 + 0.22239*x63 + 0.02655*x287
- 0.003376*x290) + 0.556*exp((-1.76845) - 0.096047*x57 + 0.000337*x58 +
0.222318*x63 + 0.011882*x287 + 0.011251*x290)) + x320 =E= 0;
e73.. -9.7*(0.444*exp(1.07807 + 0.0462131*x43 - 0.007166*x285 - 0.010226*x288)
+ 0.556*exp(1.36651 - 0.031352*x42 + 0.0462131*x43 - 0.007166*x285 -
0.010226*x288)) + x321 =E= 0;
e74.. -9.7*(0.444*exp(1.07807 + 0.0462131*x54 - 0.007166*x286 - 0.010226*x289)
+ 0.556*exp(1.36651 - 0.031352*x53 + 0.0462131*x54 - 0.007166*x286 -
0.010226*x289)) + x322 =E= 0;
e75.. -9.7*(0.444*exp(1.07807 + 0.0462131*x65 - 0.007166*x287 - 0.010226*x290)
+ 0.556*exp(1.36651 - 0.031352*x64 + 0.0462131*x65 - 0.007166*x287 -
0.010226*x290)) + x323 =E= 0;
e76.. -4.44*(0.444*exp(0.751747 + 0.0002631*x36 + 0.039786*x37 - 0.009594*x43
+ 0.31658*x44 + 0.24925*x45 - 0.005525*x285 - 0.012172*x288) + 0.556*
exp(1.09751 + 0.0002627*x36 - 0.05598*x43 + 0.3164665*x44 + 0.2493259*x45
- 0.005548*x285 - 0.012157*x288)) + x324 =E= 0;
e77.. -4.44*(0.444*exp(0.751747 + 0.0002631*x47 + 0.039786*x48 - 0.009594*x54
+ 0.31658*x55 + 0.24925*x56 - 0.005525*x286 - 0.012172*x289) + 0.556*
exp(1.09751 + 0.0002627*x47 - 0.05598*x54 + 0.3164665*x55 + 0.2493259*x56
- 0.005548*x286 - 0.012157*x289)) + x325 =E= 0;
e78.. -4.44*(0.444*exp(0.751747 + 0.0002631*x58 + 0.039786*x59 - 0.009594*x65
+ 0.31658*x66 + 0.24925*x67 - 0.005525*x287 - 0.012172*x290) + 0.556*
exp(1.09751 + 0.0002627*x58 - 0.05598*x65 + 0.3164665*x66 + 0.2493259*x67
- 0.005548*x287 - 0.012157*x290)) + x326 =E= 0;
e79.. -9.38*(0.444*exp(1.34704 + 0.0001552*x36 - 0.007253*x38 + 0.028235*x42 -
0.004005*x285 - 0.014866*x288) + 0.556*exp(0.694224 - 0.060771*x35 -
0.007311*x38 + 0.043696*x42 - 0.004005*x285 - 0.008052*x288)) + x327
=E= 0;
e80.. -9.38*(0.444*exp(1.34704 + 0.0001552*x47 - 0.007253*x49 + 0.028235*x53 -
0.004005*x286 - 0.014866*x289) + 0.556*exp(0.694224 - 0.060771*x46 -
0.007311*x49 + 0.043696*x53 - 0.004005*x286 - 0.008052*x289)) + x328
=E= 0;
e81.. -9.38*(0.444*exp(1.34704 + 0.0001552*x58 - 0.007253*x60 + 0.028235*x64 -
0.004005*x287 - 0.014866*x290) + 0.556*exp(0.694224 - 0.060771*x57 -
0.007311*x60 + 0.043696*x64 - 0.004005*x287 - 0.008052*x290)) + x329
=E= 0;
e82.. -10*(1.75021*x41 - 0.603184*x37*x41 - 0.0402619*x43*x41 + 0.0738116*x37*
x37*x41 + 0.0116427*x37*x43*x41 - 0.00255327*x37*x37*x37*x41 - 0.0010494*
x37*x37*x43*x41) + x330 =E= 0;
e83.. -10*(1.75021*x52 - 0.603184*x48*x52 - 0.0402619*x54*x52 + 0.0738116*x48*
x48*x52 + 0.0116427*x48*x54*x52 - 0.00255327*x48*x48*x48*x52 - 0.0010494*
x48*x48*x54*x52) + x331 =E= 0;
e84.. -10*(1.75021*x63 - 0.603184*x59*x63 - 0.0402619*x65*x63 + 0.0738116*x59*
x59*x63 + 0.0116427*x59*x65*x63 - 0.00255327*x59*x59*x59*x63 - 0.0010494*
x59*x59*x65*x63) + x332 =E= 0;
e85.. 0.003355*x297 + x318 + x321 + x324 + x327 + x330 =L= 95;
e86.. 0.003355*x298 + x319 + x322 + x325 + x328 + x331 =L= 95;
e87.. 0.003355*x299 + x320 + x323 + x326 + x329 + x332 =L= 95;
e88.. - x276 + x288 =E= 0;
e89.. - x277 + x289 =E= 0;
e90.. - x278 + x290 =E= 0;
e91.. 40*b72 + x285 =L= 50;
e92.. 40*b73 + x286 =L= 50;
e93.. 40*b74 + x287 =L= 50;
e94.. 10*b72 - x285 =L= 0;
e95.. 10*b73 - x286 =L= 0;
e96.. 10*b74 - x287 =L= 0;
e97.. - x40 - 50*b72 + x285 =L= 0;
e98.. - x51 - 50*b73 + x286 =L= 0;
e99.. - x62 - 50*b74 + x287 =L= 0;
e100.. x40 - 50*b72 - x285 =L= 0;
e101.. x51 - 50*b73 - x286 =L= 0;
e102.. x62 - 50*b74 - x287 =L= 0;
e103.. -1340*(0.738*exp((-0.497032) + 0.0006921*x36 - 6.63e-7*x36**2 - 0.000119
*x279**2 + 0.0083632*x279 + 0.0003665*x282**2 - 0.002774*x282 +
0.0018571*x35 + 0.0090744*x37 + 0.000931*x38 + 0.000846*x276)*x312 +
0.262*exp(0.179906 + 0.007097*x279 - 7.995e-5*x279**2 + 0.0003665*x282**
2 - 0.00276*x282 - 0.00913*x35 + 0.000252*x36 - 0.01397*x37 + 0.000931*
x38 - 0.00401*x276)*x313) + x309 =E= 0;
e104.. -1340*(0.738*exp((-0.497032) + 0.0006921*x47 - 6.63e-7*x47**2 - 0.000119
*x280**2 + 0.0083632*x280 + 0.0003665*x283**2 - 0.002774*x283 +
0.0018571*x46 + 0.0090744*x48 + 0.000931*x49 + 0.000846*x277)*x314 +
0.262*exp(0.179906 + 0.007097*x280 - 7.995e-5*x280**2 + 0.0003665*x283**
2 - 0.00276*x283 - 0.00913*x46 + 0.000252*x47 - 0.01397*x48 + 0.000931*
x49 - 0.00401*x277)*x315) + x310 =E= 0;
e105.. -1340*(0.738*exp((-0.497032) + 0.0006921*x58 - 6.63e-7*x58**2 - 0.000119
*x281**2 + 0.0083632*x281 + 0.0003665*x284**2 - 0.002774*x284 +
0.0018571*x57 + 0.0090744*x59 + 0.000931*x60 + 0.000846*x278)*x316 +
0.262*exp(0.179906 + 0.007097*x281 - 7.995e-5*x281**2 + 0.0003665*x284**
2 - 0.00276*x284 - 0.00913*x57 + 0.000252*x58 - 0.01397*x59 + 0.000931*
x60 - 0.00401*x278)*x317) + x311 =E= 0;
e106.. x309 =L= 1400;
e107.. x310 =L= 1400;
e108.. x311 =L= 1400;
e109.. - x234 - x240 - x246 + x312 =E= 1;
e110.. - x235 - x241 - x247 + x313 =E= 1;
e111.. - x236 - x242 - x248 + x314 =E= 1;
e112.. - x237 - x243 - x249 + x315 =E= 1;
e113.. - x238 - x244 - x250 + x316 =E= 1;
e114.. - x239 - x245 - x251 + x317 =E= 1;
e115.. 120*b96 + x273 =L= 130;
e116.. 190*b97 + x274 =L= 200;
e117.. 240*b98 + x275 =L= 250;
e118.. - 10*b96 + x273 =G= 0;
e119.. - 10*b97 + x274 =G= 0;
e120.. - 10*b98 + x275 =G= 0;
e121.. - x36 - 130*b96 + 130*b99 + x273 =L= 130;
e122.. - x47 - 200*b97 + 200*b100 + x274 =L= 200;
e123.. - x58 - 250*b98 + 250*b101 + x275 =L= 250;
e124.. - x36 + 130*b96 - 130*b99 + x273 =G= -130;
e125.. - x47 + 200*b97 - 200*b100 + x274 =G= -200;
e126.. - x58 + 250*b98 - 250*b101 + x275 =G= -250;
e127.. 320*b99 + x273 =L= 450;
e128.. 250*b100 + x274 =L= 450;
e129.. 200*b101 + x275 =L= 450;
e130.. 450*b99 + x273 =G= 450;
e131.. 450*b100 + x274 =G= 450;
e132.. 450*b101 + x275 =G= 450;
e133.. - 5*b69 + x276 =L= 95;
e134.. - 5*b70 + x277 =L= 95;
e135.. - 5*b71 + x278 =L= 95;
e136.. - 25*b69 - x276 =L= -95;
e137.. - 25*b70 - x277 =L= -95;
e138.. - 25*b71 - x278 =L= -95;
e139.. - x39 + 30*b69 + x276 =L= 30;
e140.. - x50 + 30*b70 + x277 =L= 30;
e141.. - x61 + 30*b71 + x278 =L= 30;
e142.. x39 + 30*b69 - x276 =L= 30;
e143.. x50 + 30*b70 - x277 =L= 30;
e144.. x61 + 30*b71 - x278 =L= 30;
e145.. 32*b102 + x279 =L= 50;
e146.. 32*b103 + x280 =L= 50;
e147.. 32*b104 + x281 =L= 50;
e148.. - 18*b102 + x279 =G= 0;
e149.. - 18*b103 + x280 =G= 0;
e150.. - 18*b104 + x281 =G= 0;
e151.. - x40 - 50*b102 + 50*b105 + x279 =L= 50;
e152.. - x51 - 50*b103 + 50*b106 + x280 =L= 50;
e153.. - x62 - 50*b104 + 50*b107 + x281 =L= 50;
e154.. - x40 + 50*b102 - 50*b105 + x279 =G= -50;
e155.. - x51 + 50*b103 - 50*b106 + x280 =G= -50;
e156.. - x62 + 50*b104 - 50*b107 + x281 =G= -50;
e157.. - 13.2*b105 + x279 =L= 36.8;
e158.. - 13.2*b106 + x280 =L= 36.8;
e159.. - 13.2*b107 + x281 =L= 36.8;
e160.. 36.8*b105 + x279 =G= 36.8;
e161.. 36.8*b106 + x280 =G= 36.8;
e162.. 36.8*b107 + x281 =G= 36.8;
e163.. 21.23*b108 + x282 =L= 25;
e164.. 21.23*b109 + x283 =L= 25;
e165.. 21.23*b110 + x284 =L= 25;
e166.. - 3.77*b108 + x282 =G= 0;
e167.. - 3.77*b109 + x283 =G= 0;
e168.. - 3.77*b110 + x284 =G= 0;
e169.. - x42 - 25*b108 + 25*b111 + x282 =L= 25;
e170.. - x53 - 25*b109 + 25*b112 + x283 =L= 25;
e171.. - x64 - 25*b110 + 25*b113 + x284 =L= 25;
e172.. - x42 + 25*b108 - 25*b111 + x282 =G= -25;
e173.. - x53 + 25*b109 - 25*b112 + x283 =G= -25;
e174.. - x64 + 25*b110 - 25*b113 + x284 =G= -25;
e175.. - 6*b111 + x282 =L= 19;
e176.. - 6*b112 + x283 =L= 19;
e177.. - 6*b113 + x284 =L= 19;
e178.. 19*b111 + x282 =G= 19;
e179.. 19*b112 + x283 =G= 19;
e180.. 19*b113 + x284 =G= 19;
e181.. 0.1243908*b96 + x138 + x144 =L= 0.1243908;
e182.. 0.14364*b96 + x139 + x145 =L= 0.14364;
e183.. 0.1719096*b97 + x140 + x146 =L= 0.1719096;
e184.. 0.16128*b97 + x141 + x147 =L= 0.16128;
e185.. 0.2058516*b98 + x142 + x148 =L= 0.2058516;
e186.. 0.17388*b98 + x143 + x149 =L= 0.17388;
e187.. - 0.1243908*b96 + 0.1243908*b99 + x126 + x132 =L= 0.1243908;
e188.. - 0.14364*b96 + 0.14364*b99 + x127 + x133 =L= 0.14364;
e189.. - 0.1719096*b97 + 0.1719096*b100 + x128 + x134 =L= 0.1719096;
e190.. - 0.16128*b97 + 0.16128*b100 + x129 + x135 =L= 0.16128;
e191.. - 0.2058516*b98 + 0.2058516*b101 + x130 + x136 =L= 0.2058516;
e192.. - 0.17388*b98 + 0.17388*b101 + x131 + x137 =L= 0.17388;
e193.. - 0.1243908*b99 + x114 + x120 =L= 0;
e194.. - 0.14364*b99 + x115 + x121 =L= 0;
e195.. - 0.1719096*b100 + x116 + x122 =L= 0;
e196.. - 0.16128*b100 + x117 + x123 =L= 0;
e197.. - 0.2058516*b101 + x118 + x124 =L= 0;
e198.. - 0.17388*b101 + x119 + x125 =L= 0;
e199.. - 0.00067884*x36 + x138 - x144 + x234 =E= -0.0067884;
e200.. - 0.000252*x36 + x139 - x145 + x235 =E= -0.00252;
e201.. - 0.00067884*x47 + x140 - x146 + x236 =E= -0.0067884;
e202.. - 0.000252*x47 + x141 - x147 + x237 =E= -0.00252;
e203.. - 0.00067884*x58 + x142 - x148 + x238 =E= -0.0067884;
e204.. - 0.000252*x58 + x143 - x149 + x239 =E= -0.00252;
e205.. x126 - x132 + x234 =E= 0;
e206.. x127 - x133 + x235 =E= 0;
e207.. x128 - x134 + x236 =E= 0;
e208.. x129 - x135 + x237 =E= 0;
e209.. x130 - x136 + x238 =E= 0;
e210.. x131 - x137 + x239 =E= 0;
e211.. - 9.53999999999999E-5*x36 + x114 - x120 + x234 =E= -0.04293;
e212.. - 0.000252*x36 + x115 - x121 + x235 =E= -0.1134;
e213.. - 9.53999999999999E-5*x47 + x116 - x122 + x236 =E= -0.04293;
e214.. - 0.000252*x47 + x117 - x123 + x237 =E= -0.1134;
e215.. - 9.53999999999999E-5*x58 + x118 - x124 + x238 =E= -0.04293;
e216.. - 0.000252*x58 + x119 - x125 + x239 =E= -0.1134;
e217.. 0.20396*b72 + x174 + x180 =L= 0.20396;
e218.. 0.21094*b72 + x175 + x181 =L= 0.21094;
e219.. 0.20396*b73 + x176 + x182 =L= 0.20396;
e220.. 0.21094*b73 + x177 + x183 =L= 0.21094;
e221.. 0.20396*b74 + x178 + x184 =L= 0.20396;
e222.. 0.21094*b74 + x179 + x185 =L= 0.21094;
e223.. - 0.20396*b72 + 0.20396*b102 + x162 + x168 =L= 0.20396;
e224.. - 0.21094*b72 + 0.21094*b102 + x163 + x169 =L= 0.21094;
e225.. - 0.20396*b73 + 0.20396*b103 + x164 + x170 =L= 0.20396;
e226.. - 0.21094*b73 + 0.21094*b103 + x165 + x171 =L= 0.21094;
e227.. - 0.20396*b74 + 0.20396*b104 + x166 + x172 =L= 0.20396;
e228.. - 0.21094*b74 + 0.21094*b104 + x167 + x173 =L= 0.21094;
e229.. - 0.20396*b102 + x150 + x156 =L= 0;
e230.. - 0.21094*b102 + x151 + x157 =L= 0;
e231.. - 0.20396*b103 + x152 + x158 =L= 0;
e232.. - 0.21094*b103 + x153 + x159 =L= 0;
e233.. - 0.20396*b104 + x154 + x160 =L= 0;
e234.. - 0.21094*b104 + x155 + x161 =L= 0;
e235.. x174 - x180 + x240 =E= -0.0326336;
e236.. x175 - x181 + x241 =E= -0.0337504;
e237.. x176 - x182 + x242 =E= -0.0326336;
e238.. x177 - x183 + x243 =E= -0.0337504;
e239.. x178 - x184 + x244 =E= -0.0326336;
e240.. x179 - x185 + x245 =E= -0.0337504;
e241.. - 0.0040792*x40 + x162 - x168 + x240 =E= -0.0734256;
e242.. - 0.0042188*x40 + x163 - x169 + x241 =E= -0.0759384;
e243.. - 0.0040792*x51 + x164 - x170 + x242 =E= -0.0734256;
e244.. - 0.0042188*x51 + x165 - x171 + x243 =E= -0.0759384;
e245.. - 0.0040792*x62 + x166 - x172 + x244 =E= -0.0734256;
e246.. - 0.0042188*x62 + x167 - x173 + x245 =E= -0.0759384;
e247.. x150 - x156 + x240 =E= 0;
e248.. x151 - x157 + x241 =E= 0;
e249.. x152 - x158 + x242 =E= 0;
e250.. x153 - x159 + x243 =E= 0;
e251.. x154 - x160 + x244 =E= 0;
e252.. x155 - x161 + x245 =E= 0;
e253.. 0.278825*b111 + x198 + x204 =L= 0.278825;
e254.. 0.279175*b111 + x199 + x205 =L= 0.279175;
e255.. 0.278825*b112 + x200 + x206 =L= 0.278825;
e256.. 0.279175*b112 + x201 + x207 =L= 0.279175;
e257.. 0.278825*b113 + x202 + x208 =L= 0.278825;
e258.. 0.279175*b113 + x203 + x209 =L= 0.279175;
e259.. - 0.278825*b111 + x186 + x192 =L= 0;
e260.. - 0.279175*b111 + x187 + x193 =L= 0;
e261.. - 0.278825*b112 + x188 + x194 =L= 0;
e262.. - 0.279175*b112 + x189 + x195 =L= 0;
e263.. - 0.278825*b113 + x190 + x196 =L= 0;
e264.. - 0.279175*b113 + x191 + x197 =L= 0;
e265.. x198 - x204 + x246 =E= 0;
e266.. x199 - x205 + x247 =E= 0;
e267.. x200 - x206 + x248 =E= 0;
e268.. x201 - x207 + x249 =E= 0;
e269.. x202 - x208 + x250 =E= 0;
e270.. x203 - x209 + x251 =E= 0;
e271.. - 0.011153*x42 + x186 - x192 + x246 =E= -0.211907;
e272.. - 0.011167*x42 + x187 - x193 + x247 =E= -0.212173;
e273.. - 0.011153*x53 + x188 - x194 + x248 =E= -0.211907;
e274.. - 0.011167*x53 + x189 - x195 + x249 =E= -0.212173;
e275.. - 0.011153*x64 + x190 - x196 + x250 =E= -0.211907;
e276.. - 0.011167*x64 + x191 - x197 + x251 =E= -0.212173;
e277.. -907*(0.444*exp(2.77929 + 0.0001072*x261**2 - 0.01447*x261 + 0.0004087*
x270**2 - 0.068624*x270 - 0.0003481*x264*x270 + 0.0323712*x264 -
0.003641*x35 + 0.0005219*x36 + 0.0289749*x37 - 0.002858*x42)*x303 +
0.556*exp(2.26558 + 0.000106*x261**2 - 0.013504*x261 + 0.000408*x270**2
- 0.062327*x270 - 0.000287*x264*x270 + 0.0282042*x264 - 0.003626*x35 -
5.4e-5*x36 + 0.043295*x37 - 0.002858*x42)*x304) + x297 =E= 0;
e278.. -907*(0.444*exp(2.77929 + 0.0001072*x262**2 - 0.01447*x262 + 0.0004087*
x271**2 - 0.068624*x271 - 0.0003481*x265*x271 + 0.0323712*x265 -
0.003641*x46 + 0.0005219*x47 + 0.0289749*x48 - 0.002858*x53)*x305 +
0.556*exp(2.26558 + 0.000106*x262**2 - 0.013504*x262 + 0.000408*x271**2
- 0.062327*x271 - 0.000287*x265*x271 + 0.0282042*x265 - 0.003626*x46 -
5.4e-5*x47 + 0.043295*x48 - 0.002858*x53)*x306) + x298 =E= 0;
e279.. -907*(0.444*exp(2.77929 + 0.0001072*x263**2 - 0.01447*x263 + 0.0004087*
x272**2 - 0.068624*x272 - 0.0003481*x266*x272 + 0.0323712*x266 -
0.003641*x57 + 0.0005219*x58 + 0.0289749*x59 - 0.002858*x64)*x307 +
0.556*exp(2.26558 + 0.000106*x263**2 - 0.013504*x263 + 0.000408*x272**2
- 0.062327*x272 - 0.000287*x266*x272 + 0.0282042*x266 - 0.003626*x57 -
5.4e-5*x58 + 0.043295*x59 - 0.002858*x64)*x308) + x299 =E= 0;
e280.. -1000*(0.0318*x258**2 - 0.3534*x258) + x300 =E= 1226.9;
e281.. -1000*(0.0318*x259**2 - 0.3534*x259) + x301 =E= 1226.9;
e282.. -1000*(0.0318*x260**2 - 0.3534*x260) + x302 =E= 1226.9;
e283.. x297 + x300 =L= 1700;
e284.. x298 + x301 =L= 1700;
e285.. x299 + x302 =L= 1700;
e286.. -((0.0323712 - 0.0003481*x270)*x291 + (-0.068624 - 0.0003481*x264 +
0.0008174*x270)*x294) - x252 + x303 =E= 1;
e287.. -((0.0282042 - 0.000287*x270)*x291 + (-0.062327 - 0.000287*x264 +
0.000816*x270)*x294) - x253 + x304 =E= 1;
e288.. -((0.0323712 - 0.0003481*x271)*x292 + (-0.068624 - 0.0003481*x265 +
0.0008174*x271)*x295) - x254 + x305 =E= 1;
e289.. -((0.0282042 - 0.000287*x271)*x292 + (-0.062327 - 0.000287*x265 +
0.000816*x271)*x295) - x255 + x306 =E= 1;
e290.. -((0.0323712 - 0.0003481*x272)*x293 + (-0.068624 - 0.0003481*x266 +
0.0008174*x272)*x296) - x256 + x307 =E= 1;
e291.. -((0.0282042 - 0.000287*x272)*x293 + (-0.062327 - 0.000287*x266 +
0.000816*x272)*x296) - x257 + x308 =E= 1;
e292.. 28*b81 + x270 =L= 100;
e293.. 28*b82 + x271 =L= 100;
e294.. 28*b83 + x272 =L= 100;
e295.. - 2*b81 + x270 =G= 70;
e296.. - 2*b82 + x271 =G= 70;
e297.. - 2*b83 + x272 =G= 70;
e298.. - x39 - 30*b81 + 30*b93 + x270 =L= 30;
e299.. - x50 - 30*b82 + 30*b94 + x271 =L= 30;
e300.. - x61 - 30*b83 + 30*b95 + x272 =L= 30;
e301.. - x39 + 30*b81 - 30*b93 + x270 =G= -30;
e302.. - x50 + 30*b82 - 30*b94 + x271 =G= -30;
e303.. - x61 + 30*b83 - 30*b95 + x272 =G= -30;
e304.. - 16.4*b93 - x267 + x270 =L= 0;
e305.. - 16.4*b94 - x268 + x271 =L= 0;
e306.. - 16.4*b95 - x269 + x272 =L= 0;
e307.. 29*b93 - x267 + x270 =G= 0;
e308.. 29*b94 - x268 + x271 =G= 0;
e309.. 29*b95 - x269 + x272 =G= 0;
e310.. - x39 + 3*b81 + x294 =L= -69;
e311.. - x50 + 3*b82 + x295 =L= -69;
e312.. - x61 + 3*b83 + x296 =L= -69;
e313.. - x39 - 30*b81 + x294 =G= -102;
e314.. - x50 - 30*b82 + x295 =G= -102;
e315.. - x61 - 30*b83 + x296 =G= -102;
e316.. 2*b81 - 2*b93 + x294 =G= -2;
e317.. 2*b82 - 2*b94 + x295 =G= -2;
e318.. 2*b83 - 2*b95 + x296 =G= -2;
e319.. - b81 + b93 + x294 =L= 1;
e320.. - b82 + b94 + x295 =L= 1;
e321.. - b83 + b95 + x296 =L= 1;
e322.. 2*b81 + 2*b90 + x294 =G= 0;
e323.. 2*b82 + 2*b91 + x295 =G= 0;
e324.. 2*b83 + 2*b92 + x296 =G= 0;
e325.. - b81 - b90 + x294 =L= 0;
e326.. - b82 - b91 + x295 =L= 0;
e327.. - b83 - b92 + x296 =L= 0;
e328.. - x39 - 3*b90 + 3*b93 + x294 =G= -97;
e329.. - x50 - 3*b91 + 3*b94 + x295 =G= -97;
e330.. - x61 - 3*b92 + 3*b95 + x296 =G= -97;
e331.. - x39 + 23*b90 - 23*b93 + x294 =L= -71;
e332.. - x50 + 23*b91 - 23*b94 + x295 =L= -71;
e333.. - x61 + 23*b92 - 23*b95 + x296 =L= -71;
e334.. 15.4*b72 - 15.4*b90 + x267 =L= 99;
e335.. 15.4*b73 - 15.4*b91 + x268 =L= 99;
e336.. 15.4*b74 - 15.4*b92 + x269 =L= 99;
e337.. - 3.85*b72 + 3.85*b90 + x267 =G= 79.75;
e338.. - 3.85*b73 + 3.85*b91 + x268 =G= 79.75;
e339.. - 3.85*b74 + 3.85*b92 + x269 =G= 79.75;
e340.. - 0.385*x40 - 19.25*b72 - 19.25*b90 + x267 =L= 79.75;
e341.. - 0.385*x51 - 19.25*b73 - 19.25*b91 + x268 =L= 79.75;
e342.. - 0.385*x62 - 19.25*b74 - 19.25*b92 + x269 =L= 79.75;
e343.. - 0.385*x40 + 19.25*b72 + 19.25*b90 + x267 =G= 79.75;
e344.. - 0.385*x51 + 19.25*b73 + 19.25*b91 + x268 =G= 79.75;
e345.. - 0.385*x62 + 19.25*b74 + 19.25*b92 + x269 =G= 79.75;
e346.. 5*b90 + x267 =L= 99;
e347.. 5*b91 + x268 =L= 99;
e348.. 5*b92 + x269 =L= 99;
e349.. - 14.25*b90 + x267 =G= 79.75;
e350.. - 14.25*b91 + x268 =G= 79.75;
e351.. - 14.25*b92 + x269 =G= 79.75;
e352.. x39 + 29*b93 - x267 =G= 0;
e353.. x50 + 29*b94 - x268 =G= 0;
e354.. x61 + 29*b95 - x269 =G= 0;
e355.. x39 + 16.4*b93 - x267 =L= 16.4;
e356.. x50 + 16.4*b94 - x268 =L= 16.4;
e357.. x61 + 16.4*b95 - x269 =L= 16.4;
e358.. 32.52*b75 + x261 =L= 65.52;
e359.. 32.52*b76 + x262 =L= 65.52;
e360.. 32.52*b77 + x263 =L= 65.52;
e361.. x261 =G= 33;
e362.. x262 =G= 33;
e363.. x263 =G= 33;
e364.. - x38 - 35.52*b75 + 35.52*b78 + x261 =L= 35.52;
e365.. - x49 - 35.52*b76 + 35.52*b79 + x262 =L= 35.52;
e366.. - x60 - 35.52*b77 + 35.52*b80 + x263 =L= 35.52;
e367.. - x38 + 37*b75 - 37*b78 + x261 =G= -37;
e368.. - x49 + 37*b76 - 37*b79 + x262 =G= -37;
e369.. - x60 + 37*b77 - 37*b80 + x263 =G= -37;
e370.. x261 =L= 65.52;
e371.. x262 =L= 65.52;
e372.. x263 =L= 65.52;
e373.. 32.52*b78 + x261 =G= 65.52;
e374.. 32.52*b79 + x262 =G= 65.52;
e375.. 32.52*b80 + x263 =G= 65.52;
e376.. 0.295792*b75 + x222 + x228 =L= 0.295792;
e377.. 0.26032*b75 + x223 + x229 =L= 0.26032;
e378.. 0.295792*b76 + x224 + x230 =L= 0.295792;
e379.. 0.26032*b76 + x225 + x231 =L= 0.26032;
e380.. 0.295792*b77 + x226 + x232 =L= 0.295792;
e381.. 0.26032*b77 + x227 + x233 =L= 0.26032;
e382.. - 0.295792*b75 + x210 + x216 =L= 0;
e383.. - 0.26032*b75 + x211 + x217 =L= 0;
e384.. - 0.295792*b76 + x212 + x218 =L= 0;
e385.. - 0.26032*b76 + x213 + x219 =L= 0;
e386.. - 0.295792*b77 + x214 + x220 =L= 0;
e387.. - 0.26032*b77 + x215 + x221 =L= 0;
e388.. 0.0073948*x38 + x222 - x228 + x252 =E= 0.2440284;
e389.. 0.006508*x38 + x223 - x229 + x253 =E= 0.214764;
e390.. 0.0073948*x49 + x224 - x230 + x254 =E= 0.2440284;
e391.. 0.006508*x49 + x225 - x231 + x255 =E= 0.214764;
e392.. 0.0073948*x60 + x226 - x232 + x256 =E= 0.2440284;
e393.. 0.006508*x60 + x227 - x233 + x257 =E= 0.214764;
e394.. x210 - x216 + x252 =E= 0;
e395.. x211 - x217 + x253 =E= 0;
e396.. x212 - x218 + x254 =E= 0;
e397.. x213 - x219 + x255 =E= 0;
e398.. x214 - x220 + x256 =E= 0;
e399.. x215 - x221 + x257 =E= 0;
e400.. 12*b72 + x291 =L= 4;
e401.. 12*b73 + x292 =L= 4;
e402.. 12*b74 + x293 =L= 4;
e403.. x291 =G= -8;
e404.. x292 =G= -8;
e405.. x293 =G= -8;
e406.. - x40 - 22*b72 + 22*b84 + x291 =L= 4;
e407.. - x51 - 22*b73 + 22*b85 + x292 =L= 4;
e408.. - x62 - 22*b74 + 22*b86 + x293 =L= 4;
e409.. - x40 + 40*b72 - 40*b84 + x291 =G= -58;
e410.. - x51 + 40*b73 - 40*b85 + x292 =G= -58;
e411.. - x62 + 40*b74 - 40*b86 + x293 =G= -58;
e412.. - 4*b84 + 4*b87 + x291 =L= 4;
e413.. - 4*b85 + 4*b88 + x292 =L= 4;
e414.. - 4*b86 + 4*b89 + x293 =L= 4;
e415.. 8*b84 - 8*b87 + x291 =G= -8;
e416.. 8*b85 - 8*b88 + x292 =G= -8;
e417.. 8*b86 - 8*b89 + x293 =G= -8;
e418.. - x40 - 50*b87 + x291 =L= -46;
e419.. - x51 - 50*b88 + x292 =L= -46;
e420.. - x62 - 50*b89 + x293 =L= -46;
e421.. - x40 + 12*b87 + x291 =G= -46;
e422.. - x51 + 12*b88 + x292 =G= -46;
e423.. - x62 + 12*b89 + x293 =G= -46;
e424.. 32*b84 + x264 =L= 50;
e425.. 32*b85 + x265 =L= 50;
e426.. 32*b86 + x266 =L= 50;
e427.. - 18*b84 + x264 =G= 0;
e428.. - 18*b85 + x265 =G= 0;
e429.. - 18*b86 + x266 =G= 0;
e430.. - x40 - 50*b84 + 50*b87 + x264 =L= 50;
e431.. - x51 - 50*b85 + 50*b88 + x265 =L= 50;
e432.. - x62 - 50*b86 + 50*b89 + x266 =L= 50;
e433.. - x40 + 50*b84 - 50*b87 + x264 =G= -50;
e434.. - x51 + 50*b85 - 50*b88 + x265 =G= -50;
e435.. - x62 + 50*b86 - 50*b89 + x266 =G= -50;
e436.. - 4*b87 + x264 =L= 46;
e437.. - 4*b88 + x265 =L= 46;
e438.. - 4*b89 + x266 =L= 46;
e439.. 46*b87 + x264 =G= 46;
e440.. 46*b88 + x265 =G= 46;
e441.. 46*b89 + x266 =G= 46;
e442.. x35 - x43 - x44 - x45 =G= 0;
e443.. x46 - x54 - x55 - x56 =G= 0;
e444.. x57 - x65 - x66 - x67 =G= 0;
e445.. - x39 - 25*b69 =L= -95;
e446.. - x50 - 25*b70 =L= -95;
e447.. - x61 - 25*b71 =L= -95;
e448.. x39 + 5*b69 =L= 100;
e449.. x50 + 5*b70 =L= 100;
e450.. x61 + 5*b71 =L= 100;
e451.. - x40 - 10*b72 =L= -10;
e452.. - x51 - 10*b73 =L= -10;
e453.. - x62 - 10*b74 =L= -10;
e454.. x40 + 40*b72 =L= 50;
e455.. x51 + 40*b73 =L= 50;
e456.. x62 + 40*b74 =L= 50;
e457.. - x38 - 3*b75 =L= -33;
e458.. - x49 - 3*b76 =L= -33;
e459.. - x60 - 3*b77 =L= -33;
e460.. x38 + 37*b75 =L= 70;
e461.. x49 + 37*b76 =L= 70;
e462.. x60 + 37*b77 =L= 70;
e463.. - x38 - 35.52*b78 =L= -65.52;
e464.. - x49 - 35.52*b79 =L= -65.52;
e465.. - x60 - 35.52*b80 =L= -65.52;
e466.. x38 + 4.48*b78 =L= 70;
e467.. x49 + 4.48*b79 =L= 70;
e468.. x60 + 4.48*b80 =L= 70;
e469.. - x39 - 2*b81 =L= -72;
e470.. - x50 - 2*b82 =L= -72;
e471.. - x61 - 2*b83 =L= -72;
e472.. x39 + 28*b81 =L= 100;
e473.. x50 + 28*b82 =L= 100;
e474.. x61 + 28*b83 =L= 100;
e475.. - x40 - 18*b84 =L= -18;
e476.. - x51 - 18*b85 =L= -18;
e477.. - x62 - 18*b86 =L= -18;
e478.. x40 + 32*b84 =L= 50;
e479.. x51 + 32*b85 =L= 50;
e480.. x62 + 32*b86 =L= 50;
e481.. - x40 - 46*b87 =L= -46;
e482.. - x51 - 46*b88 =L= -46;
e483.. - x62 - 46*b89 =L= -46;
e484.. x40 + 4*b87 =L= 50;
e485.. x51 + 4*b88 =L= 50;
e486.. x62 + 4*b89 =L= 50;
e487.. 0.385*x40 - 5*b90 =L= 14.25;
e488.. 0.385*x51 - 5*b91 =L= 14.25;
e489.. 0.385*x62 - 5*b92 =L= 14.25;
e490.. 0.385*x40 - 14.25*b90 =G= 0;
e491.. 0.385*x51 - 14.25*b91 =G= 0;
e492.. 0.385*x62 - 14.25*b92 =G= 0;
e493.. - x36 - 10*b96 =L= -10;
e494.. - x47 - 10*b97 =L= -10;
e495.. - x58 - 10*b98 =L= -10;
e496.. x36 + 120*b96 =L= 130;
e497.. x47 + 190*b97 =L= 200;
e498.. x58 + 240*b98 =L= 250;
e499.. - x36 - 450*b99 =L= -450;
e500.. - x47 - 450*b100 =L= -450;
e501.. - x58 - 450*b101 =L= -450;
e502.. x36 - 320*b99 =L= 130;
e503.. x47 - 250*b100 =L= 200;
e504.. x58 - 200*b101 =L= 250;
e505.. - b84 + b102 =E= 0;
e506.. - b85 + b103 =E= 0;
e507.. - b86 + b104 =E= 0;
e508.. - x40 - 36.8*b105 =L= -36.8;
e509.. - x51 - 36.8*b106 =L= -36.8;
e510.. - x62 - 36.8*b107 =L= -36.8;
e511.. x40 + 13.2*b105 =L= 50;
e512.. x51 + 13.2*b106 =L= 50;
e513.. x62 + 13.2*b107 =L= 50;
e514.. - x42 - 3.77*b108 =L= -3.77;
e515.. - x53 - 3.77*b109 =L= -3.77;
e516.. - x64 - 3.77*b110 =L= -3.77;
e517.. x42 + 21.23*b108 =L= 25;
e518.. x53 + 21.23*b109 =L= 25;
e519.. x64 + 21.23*b110 =L= 25;
e520.. - x42 - 19*b111 =L= -19;
e521.. - x53 - 19*b112 =L= -19;
e522.. - x64 - 19*b113 =L= -19;
e523.. x42 + 6*b111 =L= 25;
e524.. x53 + 6*b112 =L= 25;
e525.. x64 + 6*b113 =L= 25;
* set non-default bounds
x1.up = 1;
x2.up = 1;
x3.up = 1;
x4.up = 1;
x5.up = 1;
x6.up = 1;
x7.up = 1;
x8.up = 1;
x9.up = 1;
x10.up = 1;
x11.up = 275;
x12.up = 275;
x13.up = 275;
x14.up = 525;
x15.up = 525;
x16.up = 400;
x17.up = 375;
x18.up = 375;
x19.up = 375;
x20.up = 5;
x21.up = 5;
x22.up = 5;
x23.up = 10;
x24.up = 10;
x25.up = 10;
x26.up = 10;
x27.up = 10;
x28.up = 10;
x29.up = 100;
x30.up = 100;
x31.up = 100;
x32.lo = 100; x32.up = 700;
x33.up = 800;
x34.lo = 50; x34.up = 400;
x35.up = 3.7;
x36.up = 130;
x37.lo = 6.4; x37.up = 10;
x38.lo = 30; x38.up = 70;
x39.lo = 70; x39.up = 100;
x40.up = 50;
x41.up = 2;
x42.up = 25;
x43.up = 3.7;
x44.up = 3.7;
x45.lo = 2; x45.up = 3.7;
x46.up = 3.7;
x47.up = 200;
x48.lo = 6.4; x48.up = 10;
x49.lo = 30; x49.up = 70;
x50.lo = 70; x50.up = 100;
x51.up = 50;
x52.up = 2;
x53.up = 25;
x54.up = 3.7;
x55.up = 3.7;
x56.lo = 1; x56.up = 3.7;
x57.up = 3.7;
x58.up = 250;
x59.lo = 6.4; x59.up = 10;
x60.lo = 30; x60.up = 70;
x61.lo = 70; x61.up = 100;
x62.up = 50;
x63.up = 2;
x64.up = 25;
x65.up = 3.7;
x66.up = 3.7;
x67.up = 3.7;
x114.up = 0.1243908;
x115.up = 0.14364;
x116.up = 0.1719096;
x117.up = 0.16128;
x118.up = 0.2058516;
x119.up = 0.17388;
x120.up = 0.1243908;
x121.up = 0.14364;
x122.up = 0.1719096;
x123.up = 0.16128;
x124.up = 0.2058516;
x125.up = 0.17388;
x126.up = 0.1243908;
x127.up = 0.14364;
x128.up = 0.1719096;
x129.up = 0.16128;
x130.up = 0.2058516;
x131.up = 0.17388;
x132.up = 0.1243908;
x133.up = 0.14364;
x134.up = 0.1719096;
x135.up = 0.16128;
x136.up = 0.2058516;
x137.up = 0.17388;
x138.up = 0.1243908;
x139.up = 0.14364;
x140.up = 0.1719096;
x141.up = 0.16128;
x142.up = 0.2058516;
x143.up = 0.17388;
x144.up = 0.1243908;
x145.up = 0.14364;
x146.up = 0.1719096;
x147.up = 0.16128;
x148.up = 0.2058516;
x149.up = 0.17388;
x150.up = 0.20396;
x151.up = 0.21094;
x152.up = 0.20396;
x153.up = 0.21094;
x154.up = 0.20396;
x155.up = 0.21094;
x156.up = 0.20396;
x157.up = 0.21094;
x158.up = 0.20396;
x159.up = 0.21094;
x160.up = 0.20396;
x161.up = 0.21094;
x162.up = 0.20396;
x163.up = 0.21094;
x164.up = 0.20396;
x165.up = 0.21094;
x166.up = 0.20396;
x167.up = 0.21094;
x168.up = 0.20396;
x169.up = 0.21094;
x170.up = 0.20396;
x171.up = 0.21094;
x172.up = 0.20396;
x173.up = 0.21094;
x174.up = 0.20396;
x175.up = 0.21094;
x176.up = 0.20396;
x177.up = 0.21094;
x178.up = 0.20396;
x179.up = 0.21094;
x180.up = 0.20396;
x181.up = 0.21094;
x182.up = 0.20396;
x183.up = 0.21094;
x184.up = 0.20396;
x185.up = 0.21094;
x186.up = 0.278825;
x187.up = 0.279175;
x188.up = 0.278825;
x189.up = 0.279175;
x190.up = 0.278825;
x191.up = 0.279175;
x192.up = 0.278825;
x193.up = 0.279175;
x194.up = 0.278825;
x195.up = 0.279175;
x196.up = 0.278825;
x197.up = 0.279175;
x198.up = 0.278825;
x199.up = 0.279175;
x200.up = 0.278825;
x201.up = 0.279175;
x202.up = 0.278825;
x203.up = 0.279175;
x204.up = 0.278825;
x205.up = 0.279175;
x206.up = 0.278825;
x207.up = 0.279175;
x208.up = 0.278825;
x209.up = 0.279175;
x210.up = 0.295792;
x211.up = 0.26032;
x212.up = 0.295792;
x213.up = 0.26032;
x214.up = 0.295792;
x215.up = 0.26032;
x216.up = 0.295792;
x217.up = 0.26032;
x218.up = 0.295792;
x219.up = 0.26032;
x220.up = 0.295792;
x221.up = 0.26032;
x222.up = 0.295792;
x223.up = 0.26032;
x224.up = 0.295792;
x225.up = 0.26032;
x226.up = 0.295792;
x227.up = 0.26032;
x228.up = 0.295792;
x229.up = 0.26032;
x230.up = 0.295792;
x231.up = 0.26032;
x232.up = 0.295792;
x233.up = 0.26032;
x234.lo = -0.04293; x234.up = 0.0814608;
x235.lo = -0.1134; x235.up = 0.03024;
x236.lo = -0.04293; x236.up = 0.1289796;
x237.lo = -0.1134; x237.up = 0.04788;
x238.lo = -0.04293; x238.up = 0.1629216;
x239.lo = -0.1134; x239.up = 0.06048;
x240.lo = -0.0734256; x240.up = 0.1305344;
x241.lo = -0.0759384; x241.up = 0.1350016;
x242.lo = -0.0734256; x242.up = 0.1305344;
x243.lo = -0.0759384; x243.up = 0.1350016;
x244.lo = -0.0734256; x244.up = 0.1305344;
x245.lo = -0.0759384; x245.up = 0.1350016;
x246.lo = -0.211907; x246.up = 0.066918;
x247.lo = -0.212173; x247.up = 0.067002;
x248.lo = -0.211907; x248.up = 0.066918;
x249.lo = -0.212173; x249.up = 0.067002;
x250.lo = -0.211907; x250.up = 0.066918;
x251.lo = -0.212173; x251.up = 0.067002;
x252.lo = -0.2736076; x252.up = 0.0221844;
x253.lo = -0.240796; x253.up = 0.019524;
x254.lo = -0.2736076; x254.up = 0.0221844;
x255.lo = -0.240796; x255.up = 0.019524;
x256.lo = -0.2736076; x256.up = 0.0221844;
x257.lo = -0.240796; x257.up = 0.019524;
x258.lo = 6.4; x258.up = 10;
x259.lo = 6.4; x259.up = 10;
x260.lo = 6.4; x260.up = 10;
x261.lo = 33; x261.up = 65.52;
x262.lo = 33; x262.up = 65.52;
x263.lo = 33; x263.up = 65.52;
x264.lo = 18; x264.up = 46;
x265.lo = 18; x265.up = 46;
x266.lo = 18; x266.up = 46;
x267.lo = 83.6; x267.up = 99;
x268.lo = 83.6; x268.up = 99;
x269.lo = 83.6; x269.up = 99;
x270.lo = 72; x270.up = 94;
x271.lo = 72; x271.up = 94;
x272.lo = 72; x272.up = 94;
x273.lo = 10; x273.up = 130;
x274.lo = 10; x274.up = 200;
x275.lo = 10; x275.up = 250;
x276.lo = 70; x276.up = 95;
x277.lo = 70; x277.up = 95;
x278.lo = 70; x278.up = 95;
x279.lo = 18; x279.up = 36.8;
x280.lo = 18; x280.up = 36.8;
x281.lo = 18; x281.up = 36.8;
x282.lo = 3.77; x282.up = 19;
x283.lo = 3.77; x283.up = 19;
x284.lo = 3.77; x284.up = 19;
x285.lo = 10; x285.up = 50;
x286.lo = 10; x286.up = 50;
x287.lo = 10; x287.up = 50;
x288.lo = 70; x288.up = 95;
x289.lo = 70; x289.up = 95;
x290.lo = 70; x290.up = 95;
x291.lo = -8; x291.up = 4;
x292.lo = -8; x292.up = 4;
x293.lo = -8; x293.up = 4;
x294.lo = -2; x294.up = 1;
x295.lo = -2; x295.up = 1;
x296.lo = -2; x296.up = 1;
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% minimizing objvar;
Last updated: 2025-08-07 Git hash: e62cedfc