MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance gastrans040
Given gas flow and pressure specifications at entries and exits of a realistic gas network, the problem is to find a feasible network flow or to prove that none exists. The data is based on a real-world network from the gas transport company Open Grid Europe GmbH.
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 0.00000000 (ANTIGONE) 0.00000000 (BARON) 0.00000000 (COUENNE) 0.00000000 (LINDO) 0.00000000 (SCIP) 0.00000000 (SHOT) |
| Referencesⓘ | Humpola, Jesco, Joormann, Imke, Oucherif, Djamal, Pfetsch, M E, Schewe, Lars, Schmidt, Martin, and Schwarz, Robert, GasLib - A Library of Gas Network Instances, Tech. Rep., 2015. Koch, Thorsten, Hiller, Benjamin, Pfetsch, M E, and Schewe, Lars, Eds, Evaluating Gas Network Capacities, Society for Industrial and Applied Mathematics, Philadelphia, PA, 2015. |
| Sourceⓘ | GasLib instance GasLib-40.gms |
| Applicationⓘ | Gas Transmission |
| Added to libraryⓘ | 04 Dec 2015 |
| Problem typeⓘ | MINLP |
| #Variablesⓘ | 279 |
| #Binary Variablesⓘ | 0 |
| #Integer Variablesⓘ | 48 |
| #Nonlinear Variablesⓘ | 101 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 6 |
| Objective Senseⓘ | min |
| Objective typeⓘ | constant |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 0 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 553 |
| #Linear Constraintsⓘ | 418 |
| #Quadratic Constraintsⓘ | 12 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 6 |
| #General Nonlinear Constraintsⓘ | 117 |
| Operands in Gen. Nonlin. Functionsⓘ | abs div mul sqr |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 1247 |
| #Nonlinear Nonzeros in Jacobianⓘ | 315 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 293 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 89 |
| #Blocks in Hessian of Lagrangianⓘ | 10 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 3 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 47 |
| Average blocksize in Hessian of Lagrangianⓘ | 10.1 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 8.5509e-06 |
| Maximal coefficientⓘ | 1.0000e+04 |
| Infeasibility of initial pointⓘ | 725 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 554 194 48 312 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 280 232 0 48 0 0 0 0
* FX 32
*
* Nonzero counts
* Total const NL DLL
* 1248 933 315 0
*
* Solve m using MINLP minimizing 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
,i233,i234,i235,i236,i237,i238,i239,i240,i241,i242,i243,i244,i245
,i246,i247,i248,i249,i250,i251,i252,i253,i254,i255,i256,i257,i258
,i259,i260,i261,i262,i263,i264,i265,i266,i267,i268,i269,i270,i271
,i272,i273,i274,i275,i276,i277,i278,i279,i280;
Positive Variables x4,x5,x6,x7,x8,x9,x12,x13,x14,x15,x16,x17,x20,x21,x22,x23
,x24,x25,x28,x29,x30,x31,x32,x33,x36,x37,x38,x39,x40,x41,x44,x45,x46
,x47,x48,x49,x50,x51,x52,x53,x54,x55,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;
Integer Variables i233,i234,i235,i236,i237,i238,i239,i240,i241,i242,i243,i244
,i245,i246,i247,i248,i249,i250,i251,i252,i253,i254,i255,i256,i257
,i258,i259,i260,i261,i262,i263,i264,i265,i266,i267,i268,i269,i270
,i271,i272,i273,i274,i275,i276,i277,i278,i279,i280;
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;
e1.. objvar =E= 0;
e2.. i234 + i275 =L= 1;
e3.. i240 + i276 =L= 1;
e4.. i246 + i277 =L= 1;
e5.. i252 + i278 =L= 1;
e6.. i258 + i279 =L= 1;
e7.. i264 + i280 =L= 1;
e8.. - i237 + i275 =E= 0;
e9.. - i243 + i276 =E= 0;
e10.. - i249 + i277 =E= 0;
e11.. - i255 + i278 =E= 0;
e12.. - i261 + i279 =E= 0;
e13.. - i267 + i280 =E= 0;
e14.. i235 - i275 =E= 0;
e15.. i241 - i276 =E= 0;
e16.. i247 - i277 =E= 0;
e17.. i253 - i278 =E= 0;
e18.. i259 - i279 =E= 0;
e19.. i265 - i280 =E= 0;
e20.. - i238 + i275 =E= 0;
e21.. - i244 + i276 =E= 0;
e22.. - i250 + i277 =E= 0;
e23.. - i256 + i278 =E= 0;
e24.. - i262 + i279 =E= 0;
e25.. - i268 + i280 =E= 0;
e26.. i236 - i275 =E= 0;
e27.. i242 - i276 =E= 0;
e28.. i248 - i277 =E= 0;
e29.. i254 - i278 =E= 0;
e30.. i260 - i279 =E= 0;
e31.. i266 - i280 =E= 0;
e32.. - i269 + i275 =E= 0;
e33.. - i270 + i276 =E= 0;
e34.. - i271 + i277 =E= 0;
e35.. - i272 + i278 =E= 0;
e36.. - i273 + i279 =E= 0;
e37.. - i274 + i280 =E= 0;
e38.. x4 - x8 =E= 0;
e39.. - x6 + x9 =E= 0;
e40.. x6 - x7 =E= 0;
e41.. - x4 + x5 =E= 0;
e42.. x12 - x16 =E= 0;
e43.. - x14 + x17 =E= 0;
e44.. x14 - x15 =E= 0;
e45.. - x12 + x13 =E= 0;
e46.. x20 - x24 =E= 0;
e47.. - x22 + x25 =E= 0;
e48.. x22 - x23 =E= 0;
e49.. - x20 + x21 =E= 0;
e50.. x28 - x32 =E= 0;
e51.. - x30 + x33 =E= 0;
e52.. x30 - x31 =E= 0;
e53.. - x28 + x29 =E= 0;
e54.. x36 - x40 =E= 0;
e55.. - x38 + x41 =E= 0;
e56.. x38 - x39 =E= 0;
e57.. - x36 + x37 =E= 0;
e58.. x44 - x48 =E= 0;
e59.. - x46 + x49 =E= 0;
e60.. x46 - x47 =E= 0;
e61.. - x44 + x45 =E= 0;
e62.. x8 - x50 =E= 0;
e63.. - x9 + x50 =E= 0;
e64.. x16 - x51 =E= 0;
e65.. - x17 + x51 =E= 0;
e66.. x24 - x52 =E= 0;
e67.. - x25 + x52 =E= 0;
e68.. x32 - x53 =E= 0;
e69.. - x33 + x53 =E= 0;
e70.. x40 - x54 =E= 0;
e71.. - x41 + x54 =E= 0;
e72.. x48 - x55 =E= 0;
e73.. - x49 + x55 =E= 0;
e74.. x2 - x3 - x5 =E= 0;
e75.. x10 - x11 - x13 =E= 0;
e76.. x18 - x19 - x21 =E= 0;
e77.. x26 - x27 - x29 =E= 0;
e78.. x34 - x35 - x37 =E= 0;
e79.. x42 - x43 - x45 =E= 0;
e80.. x2 - x3 - x7 =E= 0;
e81.. x10 - x11 - x15 =E= 0;
e82.. x18 - x19 - x23 =E= 0;
e83.. x26 - x27 - x31 =E= 0;
e84.. x34 - x35 - x39 =E= 0;
e85.. x42 - x43 - x47 =E= 0;
e86.. - 1.5944977936*x181 + x182 + 104.68325233*i269 =L= 104.68325233;
e87.. - 1.5944977936*x183 + x184 + 104.68325233*i270 =L= 104.68325233;
e88.. - 1.5944977936*x185 + x186 + 104.68325233*i271 =L= 104.68325233;
e89.. - 1.5944977936*x187 + x188 + 104.68325233*i272 =L= 104.68325233;
e90.. - 1.5944977936*x189 + x190 + 104.68325233*i273 =L= 104.68325233;
e91.. - 1.5944977936*x191 + x192 + 104.68325233*i274 =L= 104.68325233;
e92.. x50 - 14.967797374*x181 + 758.497259951*i269 =L= 758.497259951;
e93.. x51 - 14.967797374*x183 + 758.497259951*i270 =L= 758.497259951;
e94.. x52 - 14.967797374*x185 + 758.497259951*i271 =L= 758.497259951;
e95.. x53 - 14.967797374*x187 + 758.497259951*i272 =L= 758.497259951;
e96.. x54 - 14.967797374*x189 + 758.497259951*i273 =L= 758.497259951;
e97.. x55 - 14.967797374*x191 + 758.497259951*i274 =L= 758.497259951;
e98.. - 1.0574188598*x181 + x182 - 84.6516884405*i269 =G= -84.6516884405;
e99.. - 1.0574188598*x183 + x184 - 84.6516884405*i270 =G= -84.6516884405;
e100.. - 1.0574188598*x185 + x186 - 84.6516884405*i271 =G= -84.6516884405;
e101.. - 1.0574188598*x187 + x188 - 84.6516884405*i272 =G= -84.6516884405;
e102.. - 1.0574188598*x189 + x190 - 84.6516884405*i273 =G= -84.6516884405;
e103.. - 1.0574188598*x191 + x192 - 84.6516884405*i274 =G= -84.6516884405;
e104.. x50 - 3.3366073321*x181 - 270.309403948*i269 =G= -270.309403948;
e105.. x51 - 3.3366073321*x183 - 270.309403948*i270 =G= -270.309403948;
e106.. x52 - 3.3366073321*x185 - 270.309403948*i271 =G= -270.309403948;
e107.. x53 - 3.3366073321*x187 - 270.309403948*i272 =G= -270.309403948;
e108.. x54 - 3.3366073321*x189 - 270.309403948*i273 =G= -270.309403948;
e109.. x55 - 3.3366073321*x191 - 270.309403948*i274 =G= -270.309403948;
e110.. x127 - x133 =E= 0;
e111.. x128 - x134 =E= 0;
e112.. x129 - x135 =E= 0;
e113.. x130 - x136 =E= 0;
e114.. x131 - x137 =E= 0;
e115.. x132 - x138 =E= 0;
e116.. - x4 =L= 0;
e117.. - x5 =L= 0;
e118.. - x6 =L= 0;
e119.. - x7 =L= 0;
e120.. - x8 =L= 0;
e121.. - x9 =L= 0;
e122.. - x12 =L= 0;
e123.. - x13 =L= 0;
e124.. - x14 =L= 0;
e125.. - x15 =L= 0;
e126.. - x16 =L= 0;
e127.. - x17 =L= 0;
e128.. - x20 =L= 0;
e129.. - x21 =L= 0;
e130.. - x22 =L= 0;
e131.. - x23 =L= 0;
e132.. - x24 =L= 0;
e133.. - x25 =L= 0;
e134.. - x28 =L= 0;
e135.. - x29 =L= 0;
e136.. - x30 =L= 0;
e137.. - x31 =L= 0;
e138.. - x32 =L= 0;
e139.. - x33 =L= 0;
e140.. - x36 =L= 0;
e141.. - x37 =L= 0;
e142.. - x38 =L= 0;
e143.. - x39 =L= 0;
e144.. - x40 =L= 0;
e145.. - x41 =L= 0;
e146.. - x44 =L= 0;
e147.. - x45 =L= 0;
e148.. - x46 =L= 0;
e149.. - x47 =L= 0;
e150.. - x48 =L= 0;
e151.. - x49 =L= 0;
e152.. - x50 =L= 0;
e153.. - x51 =L= 0;
e154.. - x52 =L= 0;
e155.. - x53 =L= 0;
e156.. - x54 =L= 0;
e157.. - x55 =L= 0;
e158.. - x133 + 0.0982582118*i275 =L= 0;
e159.. - x134 + 0.0982582118*i276 =L= 0;
e160.. - x135 + 0.0982582118*i277 =L= 0;
e161.. - x136 + 0.0982582118*i278 =L= 0;
e162.. - x137 + 0.0982582118*i279 =L= 0;
e163.. - x138 + 0.0982582118*i280 =L= 0;
e164.. - x139 + 388.91251*i275 =L= 0;
e165.. - x140 + 388.91251*i276 =L= 0;
e166.. - x141 + 388.91251*i277 =L= 0;
e167.. - x142 + 388.91251*i278 =L= 0;
e168.. - x143 + 388.91251*i279 =L= 0;
e169.. - x144 + 388.91251*i280 =L= 0;
e170.. x4 - 10000*i235 =L= 0;
e171.. x5 - 10000*i235 =L= 0;
e172.. x6 - 10000*i235 =L= 0;
e173.. x7 - 10000*i235 =L= 0;
e174.. x8 - 10000*i275 =L= 0;
e175.. x9 - 10000*i275 =L= 0;
e176.. x12 - 10000*i241 =L= 0;
e177.. x13 - 10000*i241 =L= 0;
e178.. x14 - 10000*i241 =L= 0;
e179.. x15 - 10000*i241 =L= 0;
e180.. x16 - 10000*i276 =L= 0;
e181.. x17 - 10000*i276 =L= 0;
e182.. x20 - 10000*i247 =L= 0;
e183.. x21 - 10000*i247 =L= 0;
e184.. x22 - 10000*i247 =L= 0;
e185.. x23 - 10000*i247 =L= 0;
e186.. x24 - 10000*i277 =L= 0;
e187.. x25 - 10000*i277 =L= 0;
e188.. x28 - 10000*i253 =L= 0;
e189.. x29 - 10000*i253 =L= 0;
e190.. x30 - 10000*i253 =L= 0;
e191.. x31 - 10000*i253 =L= 0;
e192.. x32 - 10000*i278 =L= 0;
e193.. x33 - 10000*i278 =L= 0;
e194.. x36 - 10000*i259 =L= 0;
e195.. x37 - 10000*i259 =L= 0;
e196.. x38 - 10000*i259 =L= 0;
e197.. x39 - 10000*i259 =L= 0;
e198.. x40 - 10000*i279 =L= 0;
e199.. x41 - 10000*i279 =L= 0;
e200.. x44 - 10000*i265 =L= 0;
e201.. x45 - 10000*i265 =L= 0;
e202.. x46 - 10000*i265 =L= 0;
e203.. x47 - 10000*i265 =L= 0;
e204.. x48 - 10000*i280 =L= 0;
e205.. x49 - 10000*i280 =L= 0;
e206.. x50 - 768.38332*i275 =L= 0;
e207.. x51 - 768.38332*i276 =L= 0;
e208.. x52 - 768.38332*i277 =L= 0;
e209.. x53 - 768.38332*i278 =L= 0;
e210.. x54 - 768.38332*i279 =L= 0;
e211.. x55 - 768.38332*i280 =L= 0;
e212.. x133 - 1.9194983656*i275 =L= 0;
e213.. x134 - 1.9194983656*i276 =L= 0;
e214.. x135 - 1.9194983656*i277 =L= 0;
e215.. x136 - 1.9194983656*i278 =L= 0;
e216.. x137 - 1.9194983656*i279 =L= 0;
e217.. x138 - 1.9194983656*i280 =L= 0;
e218.. x139 - 7597.50166*i275 =L= 0;
e219.. x140 - 7597.50166*i276 =L= 0;
e220.. x141 - 7597.50166*i277 =L= 0;
e221.. x142 - 7597.50166*i278 =L= 0;
e222.. x143 - 7597.50166*i279 =L= 0;
e223.. x144 - 7597.50166*i280 =L= 0;
e224.. - x10 + x67 =E= 0;
e225.. - x18 - x87 =E= 0;
e226.. - x82 - x88 =E= 0;
e227.. - x26 + x81 + x83 =E= 0;
e228.. - x83 - x84 =E= 0;
e229.. x2 + x78 =E= 0;
e230.. - x34 - x80 =E= 0;
e231.. - x42 - x59 =E= 0;
e232.. - x63 + x95 =E= 0;
e233.. x86 + x87 + x88 - x90 + x96 =E= 0;
e234.. x10 - x86 + x97 =E= 0;
e235.. - x65 + x98 =E= 0;
e236.. - x78 + x89 + x99 =E= 0;
e237.. - x89 + x90 + x100 =E= 0;
e238.. - x74 + x75 - x79 + x101 =E= 0;
e239.. - x67 + x102 =E= 0;
e240.. - x68 + x69 + x70 + x103 =E= 0;
e241.. x58 - x93 + x104 =E= 0;
e242.. x18 - x81 + x82 - x85 + x105 =E= 0;
e243.. - x77 + x79 + x106 =E= 0;
e244.. - x57 - x72 - x73 + x107 =E= 0;
e245.. - x64 + x65 + x108 =E= 0;
e246.. - x61 + x63 + x109 =E= 0;
e247.. - x71 + x110 =E= 0;
e248.. - x62 + x64 + x111 =E= 0;
e249.. - x2 + x59 + x73 + x74 + x91 + x112 =E= 0;
e250.. - x91 + x92 + x94 + x113 =E= 0;
e251.. x84 + x85 + x114 =E= 0;
e252.. - x76 + x115 =E= 0;
e253.. - x75 + x76 + x77 + x80 + x116 =E= 0;
e254.. x42 - x56 + x71 + x117 =E= 0;
e255.. x57 - x69 - x94 + x118 =E= 0;
e256.. - x66 + x68 + x119 =E= 0;
e257.. - x58 + x60 + x61 + x120 =E= 0;
e258.. - x60 + x62 + x66 + x121 =E= 0;
e259.. - x70 + x72 + x122 =E= 0;
e260.. - x92 + x93 + x123 =E= 0;
e261.. x56 - x124 =E= 0;
e262.. x34 - x125 =E= 0;
e263.. x26 - x126 =E= 0;
e264.. x157 - x160 =E= 0;
e265.. - x158 + x159 =E= 0;
e266.. x161 - x164 =E= 0;
e267.. - x162 + x163 =E= 0;
e268.. x165 - x168 =E= 0;
e269.. - x166 + x167 =E= 0;
e270.. x169 - x172 =E= 0;
e271.. - x170 + x171 =E= 0;
e272.. x173 - x176 =E= 0;
e273.. - x174 + x175 =E= 0;
e274.. x177 - x180 =E= 0;
e275.. - x178 + x179 =E= 0;
e276.. - i233 + i234 + i235 =E= 0;
e277.. - i239 + i240 + i241 =E= 0;
e278.. - i245 + i246 + i247 =E= 0;
e279.. - i251 + i252 + i253 =E= 0;
e280.. - i257 + i258 + i259 =E= 0;
e281.. - i263 + i264 + i265 =E= 0;
e282.. - 3958.06623021*x133 + x139 =E= 0;
e283.. - 3958.06623021*x134 + x140 =E= 0;
e284.. - 3958.06623021*x135 + x141 =E= 0;
e285.. - 3958.06623021*x136 + x142 =E= 0;
e286.. - 3958.06623021*x137 + x143 =E= 0;
e287.. - 3958.06623021*x138 + x144 =E= 0;
e288.. x145 + 81.01325*i275 =L= 81.01325;
e289.. x146 + 81.01325*i276 =L= 81.01325;
e290.. x147 + 81.01325*i277 =L= 81.01325;
e291.. x148 + 81.01325*i278 =L= 81.01325;
e292.. x149 + 81.01325*i279 =L= 81.01325;
e293.. x150 + 81.01325*i280 =L= 81.01325;
e294.. x151 + 105.7364*i275 =L= 105.7364;
e295.. x152 + 105.7364*i276 =L= 105.7364;
e296.. x153 + 105.7364*i277 =L= 105.7364;
e297.. x154 + 105.7364*i278 =L= 105.7364;
e298.. x155 + 105.7364*i279 =L= 105.7364;
e299.. x156 + 105.7364*i280 =L= 105.7364;
e300.. - x3 - 10000*i234 =L= 0;
e301.. - x5 =L= 0;
e302.. - x7 =L= 0;
e303.. - x8 =L= 0;
e304.. - x9 =L= 0;
e305.. - x11 - 10000*i240 =L= 0;
e306.. - x13 =L= 0;
e307.. - x15 =L= 0;
e308.. - x16 =L= 0;
e309.. - x17 =L= 0;
e310.. - x19 - 10000*i246 =L= 0;
e311.. - x21 =L= 0;
e312.. - x23 =L= 0;
e313.. - x24 =L= 0;
e314.. - x25 =L= 0;
e315.. - x27 - 10000*i252 =L= 0;
e316.. - x29 =L= 0;
e317.. - x31 =L= 0;
e318.. - x32 =L= 0;
e319.. - x33 =L= 0;
e320.. - x35 - 10000*i258 =L= 0;
e321.. - x37 =L= 0;
e322.. - x39 =L= 0;
e323.. - x40 =L= 0;
e324.. - x41 =L= 0;
e325.. - x43 - 10000*i264 =L= 0;
e326.. - x45 =L= 0;
e327.. - x47 =L= 0;
e328.. - x48 =L= 0;
e329.. - x49 =L= 0;
e330.. - x3 + 10000*i234 =G= 0;
e331.. - x5 + 10000*i235 =G= 0;
e332.. - x7 + 10000*i236 =G= 0;
e333.. - x8 + 10000*i237 =G= 0;
e334.. - x9 + 10000*i238 =G= 0;
e335.. - x11 + 10000*i240 =G= 0;
e336.. - x13 + 10000*i241 =G= 0;
e337.. - x15 + 10000*i242 =G= 0;
e338.. - x16 + 10000*i243 =G= 0;
e339.. - x17 + 10000*i244 =G= 0;
e340.. - x19 + 10000*i246 =G= 0;
e341.. - x21 + 10000*i247 =G= 0;
e342.. - x23 + 10000*i248 =G= 0;
e343.. - x24 + 10000*i249 =G= 0;
e344.. - x25 + 10000*i250 =G= 0;
e345.. - x27 + 10000*i252 =G= 0;
e346.. - x29 + 10000*i253 =G= 0;
e347.. - x31 + 10000*i254 =G= 0;
e348.. - x32 + 10000*i255 =G= 0;
e349.. - x33 + 10000*i256 =G= 0;
e350.. - x35 + 10000*i258 =G= 0;
e351.. - x37 + 10000*i259 =G= 0;
e352.. - x39 + 10000*i260 =G= 0;
e353.. - x40 + 10000*i261 =G= 0;
e354.. - x41 + 10000*i262 =G= 0;
e355.. - x43 + 10000*i264 =G= 0;
e356.. - x45 + 10000*i265 =G= 0;
e357.. - x47 + 10000*i266 =G= 0;
e358.. - x48 + 10000*i267 =G= 0;
e359.. - x49 + 10000*i268 =G= 0;
e360.. - x198 + x218 + 80*i234 =L= 80;
e361.. x160 - x198 + 80*i235 =L= 80;
e362.. - x159 + x218 + 80*i236 =L= 80;
e363.. - x157 + x181 + 80.3527613655*i237 =L= 80.3527613655;
e364.. x158 - x182 + 104.72315*i238 =L= 104.72315;
e365.. x193 - x203 + 80*i240 =L= 80;
e366.. x164 - x203 + 80*i241 =L= 80;
e367.. - x163 + x193 + 80*i242 =L= 80;
e368.. - x161 + x183 + 80.3527613655*i243 =L= 80.3527613655;
e369.. x162 - x184 + 104.72315*i244 =L= 104.72315;
e370.. x194 - x211 + 80*i246 =L= 80;
e371.. x168 - x211 + 80*i247 =L= 80;
e372.. - x167 + x194 + 80*i248 =L= 80;
e373.. - x165 + x185 + 80.3527613655*i249 =L= 80.3527613655;
e374.. x166 - x186 + 104.72315*i250 =L= 104.72315;
e375.. x196 - x232 + 80*i252 =L= 80;
e376.. x172 - x232 + 80*i253 =L= 80;
e377.. - x171 + x196 + 80*i254 =L= 80;
e378.. - x169 + x187 + 80.3527613655*i255 =L= 80.3527613655;
e379.. x170 - x188 + 104.72315*i256 =L= 104.72315;
e380.. x199 - x231 + 80*i258 =L= 80;
e381.. x176 - x231 + 80*i259 =L= 80;
e382.. - x175 + x199 + 80*i260 =L= 80;
e383.. - x173 + x189 + 80.3527613655*i261 =L= 80.3527613655;
e384.. x174 - x190 + 104.72315*i262 =L= 104.72315;
e385.. x200 - x223 + 80*i264 =L= 80;
e386.. x180 - x223 + 80*i265 =L= 80;
e387.. - x179 + x200 + 80*i266 =L= 80;
e388.. - x177 + x191 + 80.3527613655*i267 =L= 80.3527613655;
e389.. x178 - x192 + 104.72315*i268 =L= 104.72315;
e390.. x198 - x218 + 80*i234 =L= 80;
e391.. - x160 + x198 + 50*i235 =L= 50;
e392.. x159 - x218 + 70*i236 =L= 70;
e393.. x157 - x181 + 80.3527613655*i237 =L= 80.3527613655;
e394.. - x158 + x182 + 104.72315*i238 =L= 104.72315;
e395.. - x193 + x203 + 80*i240 =L= 80;
e396.. - x164 + x203 + 50*i241 =L= 50;
e397.. x163 - x193 + 70*i242 =L= 70;
e398.. x161 - x183 + 80.3527613655*i243 =L= 80.3527613655;
e399.. - x162 + x184 + 104.72315*i244 =L= 104.72315;
e400.. - x194 + x211 + 80*i246 =L= 80;
e401.. - x168 + x211 + 50*i247 =L= 50;
e402.. x167 - x194 + 70*i248 =L= 70;
e403.. x165 - x185 + 80.3527613655*i249 =L= 80.3527613655;
e404.. - x166 + x186 + 104.72315*i250 =L= 104.72315;
e405.. - x196 + x232 + 80*i252 =L= 80;
e406.. - x172 + x232 + 50*i253 =L= 50;
e407.. x171 - x196 + 70*i254 =L= 70;
e408.. x169 - x187 + 80.3527613655*i255 =L= 80.3527613655;
e409.. - x170 + x188 + 104.72315*i256 =L= 104.72315;
e410.. - x199 + x231 + 80*i258 =L= 80;
e411.. - x176 + x231 + 50*i259 =L= 50;
e412.. x175 - x199 + 70*i260 =L= 70;
e413.. x173 - x189 + 80.3527613655*i261 =L= 80.3527613655;
e414.. - x174 + x190 + 104.72315*i262 =L= 104.72315;
e415.. - x200 + x223 + 80*i264 =L= 80;
e416.. - x180 + x223 + 50*i265 =L= 50;
e417.. x179 - x200 + 70*i266 =L= 70;
e418.. x177 - x191 + 80.3527613655*i267 =L= 80.3527613655;
e419.. - x178 + x192 + 104.72315*i268 =L= 104.72315;
e420.. 106.736*i275 - 1.53409*x181*i275 + x182 =L= 106.736;
e421.. 106.736*i276 - 1.53409*x183*i276 + x184 =L= 106.736;
e422.. 106.736*i277 - 1.53409*x185*i277 + x186 =L= 106.736;
e423.. 106.736*i278 - 1.53409*x187*i278 + x188 =L= 106.736;
e424.. 106.736*i279 - 1.53409*x189*i279 + x190 =L= 106.736;
e425.. 106.736*i280 - 1.53409*x191*i280 + x192 =L= 106.736;
e426.. -1.0621*x181*i275 + x182 =G= 0;
e427.. -1.0621*x183*i276 + x184 =G= 0;
e428.. -1.0621*x185*i277 + x186 =G= 0;
e429.. -1.0621*x187*i278 + x188 =G= 0;
e430.. -1.0621*x189*i279 + x190 =G= 0;
e431.. -1.0621*x191*i280 + x192 =G= 0;
e432.. (-137.149245189949 + 137.149245189949*(x182/x181)**0.228395061728395)*
x50 - x139 =E= 0;
e433.. (-137.149245189949 + 137.149245189949*(x184/x183)**0.228395061728395)*
x51 - x140 =E= 0;
e434.. (-137.149245189949 + 137.149245189949*(x186/x185)**0.228395061728395)*
x52 - x141 =E= 0;
e435.. (-137.149245189949 + 137.149245189949*(x188/x187)**0.228395061728395)*
x53 - x142 =E= 0;
e436.. (-137.149245189949 + 137.149245189949*(x190/x189)**0.228395061728395)*
x54 - x143 =E= 0;
e437.. (-137.149245189949 + 137.149245189949*(x192/x191)**0.228395061728395)*
x55 - x144 =E= 0;
e438.. x213*x213 - x224*x224 + 0.0123930544753431*abs(0.230105680705354*x57)*
x57 =E= 0;
e439.. x226*x226 - x210*x210 + 0.00451077534764825*abs(0.230105680705354*x58)*
x58 =E= 0;
e440.. x200*x200 - x218*x218 + 0.0065172100583925*abs(0.230105680705354*x59)*
x59 =E= 0;
e441.. x227*x227 - x226*x226 + 0.00231892468599074*abs(0.230105680705354*x60)*
x60 =E= 0;
e442.. x215*x215 - x226*x226 + 0.00535723895865242*abs(0.230105680705354*x61)*
x61 =E= 0;
e443.. x217*x217 - x227*x227 + 0.193405461658666*abs(0.230105680705354*x62)*x62
=E= 0;
e444.. x201*x201 - x215*x215 + 0.010987793251594*abs(0.230105680705354*x63)*x63
=E= 0;
e445.. x214*x214 - x217*x217 + 0.00187067701227078*abs(0.230105680705354*x64)*
x64 =E= 0;
e446.. x204*x204 - x214*x214 + 0.0601124256995858*abs(0.230105680705354*x65)*
x65 =E= 0;
e447.. x225*x225 - x227*x227 + 0.0702541954510965*abs(0.230105680705354*x66)*
x66 =E= 0;
e448.. x223*x223 - x230*x230 + 0.000564648600330442*abs(0.230105680705354*x56)*
x56 =E= 0;
e449.. x209*x209 - x225*x225 + 0.0125836214312444*abs(0.230105680705354*x68)*
x68 =E= 0;
e450.. x224*x224 - x209*x209 + 0.00645572055277224*abs(0.230105680705354*x69)*
x69 =E= 0;
e451.. x228*x228 - x209*x209 + 0.00637394362729222*abs(0.230105680705354*x70)*
x70 =E= 0;
e452.. x216*x216 - x223*x223 + 0.00170139119933968*abs(0.230105680705354*x71)*
x71 =E= 0;
e453.. x213*x213 - x228*x228 + 0.0117716313379071*abs(0.230105680705354*x72)*
x72 =E= 0;
e454.. x213*x213 - x218*x218 + 0.0402709793290386*abs(0.230105680705354*x73)*
x73 =E= 0;
e455.. x207*x207 - x218*x218 + 0.0008194462929578*abs(0.230105680705354*x74)*
x74 =E= 0;
e456.. x222*x222 - x207*x207 + 0.00494895071386757*abs(0.230105680705354*x75)*
x75 =E= 0;
e457.. x221*x221 - x222*x222 + 0.00305000440808503*abs(0.230105680705354*x76)*
x76 =E= 0;
e458.. x212*x212 - x222*x222 + 0.00427903707516882*abs(0.230105680705354*x77)*
x77 =E= 0;
e459.. x208*x208 - x193*x193 + 0.0105527381022311*abs(0.230105680705354*x67)*
x67 =E= 0;
e460.. x207*x207 - x212*x212 + 0.00055149982473862*abs(0.230105680705354*x79)*
x79 =E= 0;
e461.. x199*x199 - x222*x222 + 0.00451805683836855*abs(0.230105680705354*x80)*
x80 =E= 0;
e462.. x211*x211 - x196*x196 + 0.00684354408036937*abs(0.230105680705354*x81)*
x81 =E= 0;
e463.. x195*x195 - x211*x211 + 0.000374063201685088*abs(0.230105680705354*x82)*
x82 =E= 0;
e464.. x197*x197 - x196*x196 + 0.000116194875671723*abs(0.230105680705354*x83)*
x83 =E= 0;
e465.. x197*x197 - x220*x220 + 0.00140175755761643*abs(0.230105680705354*x84)*
x84 =E= 0;
e466.. x211*x211 - x220*x220 + 0.00362686193782913*abs(0.230105680705354*x85)*
x85 =E= 0;
e467.. x203*x203 - x202*x202 + 0.000783470086500752*abs(0.230105680705354*x86)*
x86 =E= 0;
e468.. x194*x194 - x202*x202 + 0.00892833423562045*abs(0.230105680705354*x87)*
x87 =E= 0;
e469.. x195*x195 - x202*x202 + 0.00899352769113522*abs(0.230105680705354*x88)*
x88 =E= 0;
e470.. x205*x205 - x198*x198 + 0.000931250111430392*abs(0.230105680705354*x78)*
x78 =E= 0;
e471.. x206*x206 - x205*x205 + 0.000302303994025912*abs(0.230105680705354*x89)*
x89 =E= 0;
e472.. x202*x202 - x206*x206 + 0.00798987083089408*abs(0.230105680705354*x90)*
x90 =E= 0;
e473.. x219*x219 - x218*x218 + 0.0118972223227499*abs(0.230105680705354*x91)*
x91 =E= 0;
e474.. x229*x229 - x219*x219 + 0.0101105409554624*abs(0.230105680705354*x92)*
x92 =E= 0;
e475.. x210*x210 - x229*x229 + 0.0061121759610917*abs(0.230105680705354*x93)*
x93 =E= 0;
e476.. x224*x224 - x219*x219 + 0.0214774421482597*abs(0.230105680705354*x94)*
x94 =E= 0;
e477.. 0.359469*abs(x56)*(1 + 8.55090012351e-6*sqr(x223) - 0.00290105486089*
x223)/x223 =L= 50;
e478.. 0.998526*abs(x57)*(1 + 8.55090012351e-6*sqr(x213) - 0.00290105486089*
x213)/x213 =L= 50;
e479.. 0.561671*abs(x58)*(1 + 8.55090012351e-6*sqr(x226) - 0.00290105486089*
x226)/x226 =L= 50;
e480.. 0.561671*abs(x59)*(1 + 8.55090012351e-6*sqr(x200) - 0.00290105486089*
x200)/x200 =L= 50;
e481.. 0.998526*abs(x60)*(1 + 8.55090012351e-6*sqr(x227) - 0.00290105486089*
x227)/x227 =L= 50;
e482.. 0.561671*abs(x61)*(1 + 8.55090012351e-6*sqr(x215) - 0.00290105486089*
x215)/x215 =L= 50;
e483.. 2.24668*abs(x62)*(1 + 8.55090012351e-6*sqr(x217) - 0.00290105486089*x217
)/x217 =L= 50;
e484.. 0.998526*abs(x63)*(1 + 8.55090012351e-6*sqr(x201) - 0.00290105486089*
x201)/x201 =L= 50;
e485.. 0.998526*abs(x64)*(1 + 8.55090012351e-6*sqr(x214) - 0.00290105486089*
x214)/x214 =L= 50;
e486.. 2.24668*abs(x65)*(1 + 8.55090012351e-6*sqr(x204) - 0.00290105486089*x204
)/x204 =L= 50;
e487.. 2.24668*abs(x66)*(1 + 8.55090012351e-6*sqr(x225) - 0.00290105486089*x225
)/x225 =L= 50;
e488.. 0.561671*abs(x67)*(1 + 8.55090012351e-6*sqr(x208) - 0.00290105486089*
x208)/x208 =L= 50;
e489.. 0.998526*abs(x68)*(1 + 8.55090012351e-6*sqr(x209) - 0.00290105486089*
x209)/x209 =L= 50;
e490.. 0.998526*abs(x69)*(1 + 8.55090012351e-6*sqr(x224) - 0.00290105486089*
x224)/x224 =L= 50;
e491.. 0.998526*abs(x70)*(1 + 8.55090012351e-6*sqr(x228) - 0.00290105486089*
x228)/x228 =L= 50;
e492.. 0.561671*abs(x71)*(1 + 8.55090012351e-6*sqr(x216) - 0.00290105486089*
x216)/x216 =L= 50;
e493.. 0.998526*abs(x72)*(1 + 8.55090012351e-6*sqr(x213) - 0.00290105486089*
x213)/x213 =L= 50;
e494.. 0.998526*abs(x73)*(1 + 8.55090012351e-6*sqr(x213) - 0.00290105486089*
x213)/x213 =L= 50;
e495.. 0.359469*abs(x74)*(1 + 8.55090012351e-6*sqr(x207) - 0.00290105486089*
x207)/x207 =L= 50;
e496.. 0.561671*abs(x75)*(1 + 8.55090012351e-6*sqr(x222) - 0.00290105486089*
x222)/x222 =L= 50;
e497.. 0.561671*abs(x76)*(1 + 8.55090012351e-6*sqr(x221) - 0.00290105486089*
x221)/x221 =L= 50;
e498.. 0.561671*abs(x77)*(1 + 8.55090012351e-6*sqr(x212) - 0.00290105486089*
x212)/x212 =L= 50;
e499.. 0.359469*abs(x78)*(1 + 8.55090012351e-6*sqr(x205) - 0.00290105486089*
x205)/x205 =L= 50;
e500.. 0.359469*abs(x79)*(1 + 8.55090012351e-6*sqr(x207) - 0.00290105486089*
x207)/x207 =L= 50;
e501.. 0.561671*abs(x80)*(1 + 8.55090012351e-6*sqr(x199) - 0.00290105486089*
x199)/x199 =L= 50;
e502.. 0.561671*abs(x81)*(1 + 8.55090012351e-6*sqr(x211) - 0.00290105486089*
x211)/x211 =L= 50;
e503.. 0.561671*abs(x82)*(1 + 8.55090012351e-6*sqr(x195) - 0.00290105486089*
x195)/x195 =L= 50;
e504.. 0.359469*abs(x83)*(1 + 8.55090012351e-6*sqr(x197) - 0.00290105486089*
x197)/x197 =L= 50;
e505.. 0.359469*abs(x84)*(1 + 8.55090012351e-6*sqr(x197) - 0.00290105486089*
x197)/x197 =L= 50;
e506.. 0.561671*abs(x85)*(1 + 8.55090012351e-6*sqr(x211) - 0.00290105486089*
x211)/x211 =L= 50;
e507.. 0.359469*abs(x86)*(1 + 8.55090012351e-6*sqr(x203) - 0.00290105486089*
x203)/x203 =L= 50;
e508.. 0.561671*abs(x87)*(1 + 8.55090012351e-6*sqr(x194) - 0.00290105486089*
x194)/x194 =L= 50;
e509.. 0.561671*abs(x88)*(1 + 8.55090012351e-6*sqr(x195) - 0.00290105486089*
x195)/x195 =L= 50;
e510.. 0.359469*abs(x89)*(1 + 8.55090012351e-6*sqr(x206) - 0.00290105486089*
x206)/x206 =L= 50;
e511.. 0.561671*abs(x90)*(1 + 8.55090012351e-6*sqr(x202) - 0.00290105486089*
x202)/x202 =L= 50;
e512.. 0.561671*abs(x91)*(1 + 8.55090012351e-6*sqr(x219) - 0.00290105486089*
x219)/x219 =L= 50;
e513.. 0.998526*abs(x92)*(1 + 8.55090012351e-6*sqr(x229) - 0.00290105486089*
x229)/x229 =L= 50;
e514.. 0.998526*abs(x93)*(1 + 8.55090012351e-6*sqr(x210) - 0.00290105486089*
x210)/x210 =L= 50;
e515.. 0.998526*abs(x94)*(1 + 8.55090012351e-6*sqr(x224) - 0.00290105486089*
x224)/x224 =L= 50;
e516.. 0.359469*abs(x56)*(1 + 8.55090012351e-6*sqr(x230) - 0.00290105486089*
x230)/x230 =L= 50;
e517.. 0.998526*abs(x57)*(1 + 8.55090012351e-6*sqr(x224) - 0.00290105486089*
x224)/x224 =L= 50;
e518.. 0.561671*abs(x58)*(1 + 8.55090012351e-6*sqr(x210) - 0.00290105486089*
x210)/x210 =L= 50;
e519.. 0.561671*abs(x59)*(1 + 8.55090012351e-6*sqr(x218) - 0.00290105486089*
x218)/x218 =L= 50;
e520.. 0.998526*abs(x60)*(1 + 8.55090012351e-6*sqr(x226) - 0.00290105486089*
x226)/x226 =L= 50;
e521.. 0.561671*abs(x61)*(1 + 8.55090012351e-6*sqr(x226) - 0.00290105486089*
x226)/x226 =L= 50;
e522.. 2.24668*abs(x62)*(1 + 8.55090012351e-6*sqr(x227) - 0.00290105486089*x227
)/x227 =L= 50;
e523.. 0.998526*abs(x63)*(1 + 8.55090012351e-6*sqr(x215) - 0.00290105486089*
x215)/x215 =L= 50;
e524.. 0.998526*abs(x64)*(1 + 8.55090012351e-6*sqr(x217) - 0.00290105486089*
x217)/x217 =L= 50;
e525.. 2.24668*abs(x65)*(1 + 8.55090012351e-6*sqr(x214) - 0.00290105486089*x214
)/x214 =L= 50;
e526.. 2.24668*abs(x66)*(1 + 8.55090012351e-6*sqr(x227) - 0.00290105486089*x227
)/x227 =L= 50;
e527.. 0.561671*abs(x67)*(1 + 8.55090012351e-6*sqr(x193) - 0.00290105486089*
x193)/x193 =L= 50;
e528.. 0.998526*abs(x68)*(1 + 8.55090012351e-6*sqr(x225) - 0.00290105486089*
x225)/x225 =L= 50;
e529.. 0.998526*abs(x69)*(1 + 8.55090012351e-6*sqr(x209) - 0.00290105486089*
x209)/x209 =L= 50;
e530.. 0.998526*abs(x70)*(1 + 8.55090012351e-6*sqr(x209) - 0.00290105486089*
x209)/x209 =L= 50;
e531.. 0.561671*abs(x71)*(1 + 8.55090012351e-6*sqr(x223) - 0.00290105486089*
x223)/x223 =L= 50;
e532.. 0.998526*abs(x72)*(1 + 8.55090012351e-6*sqr(x228) - 0.00290105486089*
x228)/x228 =L= 50;
e533.. 0.998526*abs(x73)*(1 + 8.55090012351e-6*sqr(x218) - 0.00290105486089*
x218)/x218 =L= 50;
e534.. 0.359469*abs(x74)*(1 + 8.55090012351e-6*sqr(x218) - 0.00290105486089*
x218)/x218 =L= 50;
e535.. 0.561671*abs(x75)*(1 + 8.55090012351e-6*sqr(x207) - 0.00290105486089*
x207)/x207 =L= 50;
e536.. 0.561671*abs(x76)*(1 + 8.55090012351e-6*sqr(x222) - 0.00290105486089*
x222)/x222 =L= 50;
e537.. 0.561671*abs(x77)*(1 + 8.55090012351e-6*sqr(x222) - 0.00290105486089*
x222)/x222 =L= 50;
e538.. 0.359469*abs(x78)*(1 + 8.55090012351e-6*sqr(x198) - 0.00290105486089*
x198)/x198 =L= 50;
e539.. 0.359469*abs(x79)*(1 + 8.55090012351e-6*sqr(x212) - 0.00290105486089*
x212)/x212 =L= 50;
e540.. 0.561671*abs(x80)*(1 + 8.55090012351e-6*sqr(x222) - 0.00290105486089*
x222)/x222 =L= 50;
e541.. 0.561671*abs(x81)*(1 + 8.55090012351e-6*sqr(x196) - 0.00290105486089*
x196)/x196 =L= 50;
e542.. 0.561671*abs(x82)*(1 + 8.55090012351e-6*sqr(x211) - 0.00290105486089*
x211)/x211 =L= 50;
e543.. 0.359469*abs(x83)*(1 + 8.55090012351e-6*sqr(x196) - 0.00290105486089*
x196)/x196 =L= 50;
e544.. 0.359469*abs(x84)*(1 + 8.55090012351e-6*sqr(x220) - 0.00290105486089*
x220)/x220 =L= 50;
e545.. 0.561671*abs(x85)*(1 + 8.55090012351e-6*sqr(x220) - 0.00290105486089*
x220)/x220 =L= 50;
e546.. 0.359469*abs(x86)*(1 + 8.55090012351e-6*sqr(x202) - 0.00290105486089*
x202)/x202 =L= 50;
e547.. 0.561671*abs(x87)*(1 + 8.55090012351e-6*sqr(x202) - 0.00290105486089*
x202)/x202 =L= 50;
e548.. 0.561671*abs(x88)*(1 + 8.55090012351e-6*sqr(x202) - 0.00290105486089*
x202)/x202 =L= 50;
e549.. 0.359469*abs(x89)*(1 + 8.55090012351e-6*sqr(x205) - 0.00290105486089*
x205)/x205 =L= 50;
e550.. 0.561671*abs(x90)*(1 + 8.55090012351e-6*sqr(x206) - 0.00290105486089*
x206)/x206 =L= 50;
e551.. 0.561671*abs(x91)*(1 + 8.55090012351e-6*sqr(x218) - 0.00290105486089*
x218)/x218 =L= 50;
e552.. 0.998526*abs(x92)*(1 + 8.55090012351e-6*sqr(x219) - 0.00290105486089*
x219)/x219 =L= 50;
e553.. 0.998526*abs(x93)*(1 + 8.55090012351e-6*sqr(x229) - 0.00290105486089*
x229)/x229 =L= 50;
e554.. 0.998526*abs(x94)*(1 + 8.55090012351e-6*sqr(x219) - 0.00290105486089*
x219)/x219 =L= 50;
* set non-default bounds
x2.lo = -10000; x2.up = 10000;
x3.lo = -10000; x3.up = 10000;
x4.up = 10000;
x5.up = 10000;
x6.up = 10000;
x7.up = 10000;
x8.up = 10000;
x9.up = 10000;
x10.lo = -10000; x10.up = 10000;
x11.lo = -10000; x11.up = 10000;
x12.up = 10000;
x13.up = 10000;
x14.up = 10000;
x15.up = 10000;
x16.up = 10000;
x17.up = 10000;
x18.lo = -10000; x18.up = 10000;
x19.lo = -10000; x19.up = 10000;
x20.up = 10000;
x21.up = 10000;
x22.up = 10000;
x23.up = 10000;
x24.up = 10000;
x25.up = 10000;
x26.lo = -10000; x26.up = 10000;
x27.lo = -10000; x27.up = 10000;
x28.up = 10000;
x29.up = 10000;
x30.up = 10000;
x31.up = 10000;
x32.up = 10000;
x33.up = 10000;
x34.lo = -10000; x34.up = 10000;
x35.lo = -10000; x35.up = 10000;
x36.up = 10000;
x37.up = 10000;
x38.up = 10000;
x39.up = 10000;
x40.up = 10000;
x41.up = 10000;
x42.lo = -10000; x42.up = 10000;
x43.lo = -10000; x43.up = 10000;
x44.up = 10000;
x45.up = 10000;
x46.up = 10000;
x47.up = 10000;
x48.up = 10000;
x49.up = 10000;
x50.up = 768.38332;
x51.up = 768.38332;
x52.up = 768.38332;
x53.up = 768.38332;
x54.up = 768.38332;
x55.up = 768.38332;
x56.lo = -10000; x56.up = 10000;
x57.lo = -10000; x57.up = 10000;
x58.lo = -10000; x58.up = 10000;
x59.lo = -10000; x59.up = 10000;
x60.lo = -10000; x60.up = 10000;
x61.lo = -10000; x61.up = 10000;
x62.lo = -10000; x62.up = 10000;
x63.lo = -10000; x63.up = 10000;
x64.lo = -10000; x64.up = 10000;
x65.lo = -10000; x65.up = 10000;
x66.lo = -10000; x66.up = 10000;
x67.lo = -10000; x67.up = 10000;
x68.lo = -10000; x68.up = 10000;
x69.lo = -10000; x69.up = 10000;
x70.lo = -10000; x70.up = 10000;
x71.lo = -10000; x71.up = 10000;
x72.lo = -10000; x72.up = 10000;
x73.lo = -10000; x73.up = 10000;
x74.lo = -10000; x74.up = 10000;
x75.lo = -10000; x75.up = 10000;
x76.lo = -10000; x76.up = 10000;
x77.lo = -10000; x77.up = 10000;
x78.lo = -10000; x78.up = 10000;
x79.lo = -10000; x79.up = 10000;
x80.lo = -10000; x80.up = 10000;
x81.lo = -10000; x81.up = 10000;
x82.lo = -10000; x82.up = 10000;
x83.lo = -10000; x83.up = 10000;
x84.lo = -10000; x84.up = 10000;
x85.lo = -10000; x85.up = 10000;
x86.lo = -10000; x86.up = 10000;
x87.lo = -10000; x87.up = 10000;
x88.lo = -10000; x88.up = 10000;
x89.lo = -10000; x89.up = 10000;
x90.lo = -10000; x90.up = 10000;
x91.lo = -10000; x91.up = 10000;
x92.lo = -10000; x92.up = 10000;
x93.lo = -10000; x93.up = 10000;
x94.lo = -10000; x94.up = 10000;
x95.fx = 75;
x96.fx = 75;
x97.fx = 75;
x98.fx = 75;
x99.fx = 75;
x100.fx = 75;
x101.fx = 75;
x102.fx = 75;
x103.fx = 75;
x104.fx = 75;
x105.fx = 75;
x106.fx = 75;
x107.fx = 75;
x108.fx = 75;
x109.fx = 75;
x110.fx = 75;
x111.fx = 75;
x112.fx = 75;
x113.fx = 75;
x114.fx = 75;
x115.fx = 75;
x116.fx = 75;
x117.fx = 75;
x118.fx = 75;
x119.fx = 75;
x120.fx = 75;
x121.fx = 75;
x122.fx = 75;
x123.fx = 75;
x124.fx = 725;
x125.fx = 725;
x126.fx = 725;
x133.up = 1.91949836565;
x134.up = 1.91949836565;
x135.up = 1.91949836565;
x136.up = 1.91949836565;
x137.up = 1.91949836565;
x138.up = 1.91949836565;
x139.up = 7597.50166;
x140.up = 7597.50166;
x141.up = 7597.50166;
x142.up = 7597.50166;
x143.up = 7597.50166;
x144.up = 7597.50166;
x157.lo = 0.660488634478; x157.up = 81.01325;
x158.lo = 1.01325; x158.up = 105.7364;
x159.lo = 1.01325; x159.up = 71.01325;
x160.lo = 31.01325; x160.up = 81.01325;
x161.lo = 0.660488634478; x161.up = 81.01325;
x162.lo = 1.01325; x162.up = 105.7364;
x163.lo = 1.01325; x163.up = 71.01325;
x164.lo = 31.01325; x164.up = 81.01325;
x165.lo = 0.660488634478; x165.up = 81.01325;
x166.lo = 1.01325; x166.up = 105.7364;
x167.lo = 1.01325; x167.up = 71.01325;
x168.lo = 31.01325; x168.up = 81.01325;
x169.lo = 0.660488634478; x169.up = 81.01325;
x170.lo = 1.01325; x170.up = 105.7364;
x171.lo = 1.01325; x171.up = 71.01325;
x172.lo = 31.01325; x172.up = 81.01325;
x173.lo = 0.660488634478; x173.up = 81.01325;
x174.lo = 1.01325; x174.up = 105.7364;
x175.lo = 1.01325; x175.up = 71.01325;
x176.lo = 31.01325; x176.up = 81.01325;
x177.lo = 0.660488634478; x177.up = 81.01325;
x178.lo = 1.01325; x178.up = 105.7364;
x179.lo = 1.01325; x179.up = 71.01325;
x180.lo = 31.01325; x180.up = 81.01325;
x181.lo = 0.660488634478; x181.up = 81.01325;
x182.lo = 1.01325; x182.up = 105.7364;
x183.lo = 0.660488634478; x183.up = 81.01325;
x184.lo = 1.01325; x184.up = 105.7364;
x185.lo = 0.660488634478; x185.up = 81.01325;
x186.lo = 1.01325; x186.up = 105.7364;
x187.lo = 0.660488634478; x187.up = 81.01325;
x188.lo = 1.01325; x188.up = 105.7364;
x189.lo = 0.660488634478; x189.up = 81.01325;
x190.lo = 1.01325; x190.up = 105.7364;
x191.lo = 0.660488634478; x191.up = 81.01325;
x192.lo = 1.01325; x192.up = 105.7364;
x193.lo = 1.01325; x193.up = 81.01325;
x194.lo = 1.01325; x194.up = 81.01325;
x195.lo = 1.01325; x195.up = 81.01325;
x196.lo = 1.01325; x196.up = 81.01325;
x197.lo = 1.01325; x197.up = 81.01325;
x198.lo = 1.01325; x198.up = 81.01325;
x199.lo = 1.01325; x199.up = 81.01325;
x200.lo = 1.01325; x200.up = 81.01325;
x201.lo = 1.01325; x201.up = 81.01325;
x202.lo = 1.01325; x202.up = 81.01325;
x203.lo = 1.01325; x203.up = 81.01325;
x204.lo = 1.01325; x204.up = 81.01325;
x205.lo = 1.01325; x205.up = 81.01325;
x206.lo = 1.01325; x206.up = 81.01325;
x207.lo = 1.01325; x207.up = 81.01325;
x208.lo = 1.01325; x208.up = 81.01325;
x209.lo = 1.01325; x209.up = 81.01325;
x210.lo = 1.01325; x210.up = 81.01325;
x211.lo = 1.01325; x211.up = 81.01325;
x212.lo = 1.01325; x212.up = 81.01325;
x213.lo = 1.01325; x213.up = 81.01325;
x214.lo = 1.01325; x214.up = 81.01325;
x215.lo = 1.01325; x215.up = 81.01325;
x216.lo = 1.01325; x216.up = 81.01325;
x217.lo = 1.01325; x217.up = 81.01325;
x218.lo = 1.01325; x218.up = 81.01325;
x219.lo = 1.01325; x219.up = 81.01325;
x220.lo = 1.01325; x220.up = 81.01325;
x221.lo = 1.01325; x221.up = 81.01325;
x222.lo = 1.01325; x222.up = 81.01325;
x223.lo = 1.01325; x223.up = 81.01325;
x224.lo = 1.01325; x224.up = 81.01325;
x225.lo = 1.01325; x225.up = 81.01325;
x226.lo = 1.01325; x226.up = 81.01325;
x227.lo = 1.01325; x227.up = 81.01325;
x228.lo = 1.01325; x228.up = 81.01325;
x229.lo = 1.01325; x229.up = 81.01325;
x230.lo = 1.01325; x230.up = 81.01325;
x231.lo = 1.01325; x231.up = 81.01325;
x232.lo = 1.01325; x232.up = 81.01325;
i233.up = 1;
i234.up = 1;
i235.up = 1;
i236.up = 1;
i237.up = 1;
i238.up = 1;
i239.up = 1;
i240.up = 1;
i241.up = 1;
i242.up = 1;
i243.up = 1;
i244.up = 1;
i245.up = 1;
i246.up = 1;
i247.up = 1;
i248.up = 1;
i249.up = 1;
i250.up = 1;
i251.up = 1;
i252.up = 1;
i253.up = 1;
i254.up = 1;
i255.up = 1;
i256.up = 1;
i257.up = 1;
i258.up = 1;
i259.up = 1;
i260.up = 1;
i261.up = 1;
i262.up = 1;
i263.up = 1;
i264.up = 1;
i265.up = 1;
i266.up = 1;
i267.up = 1;
i268.up = 1;
i269.up = 1;
i270.up = 1;
i271.up = 1;
i272.up = 1;
i273.up = 1;
i274.up = 1;
i275.up = 1;
i276.up = 1;
i277.up = 1;
i278.up = 1;
i279.up = 1;
i280.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