MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance waterno1_03
| Formatsⓘ | ams gms osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 402.38251040 (COUENNE) 398.10380270 (LINDO) 402.38222470 (SCIP) |
| Referencesⓘ | Huang, Wei, Operative Planning of Water Supply Networks by Mixed Integer Nonlinear Programming, Masters thesis, Freie Universität Berlin, 2011. Gleixner, Ambros M, Held, Harald, Huang, Wei, and Vigerske, Stefan, Towards globally optimal operation of water supply networks, Numerical Algebra, Control and Optimization, 2:4, 2012, 695-711. |
| Applicationⓘ | Water Network Operation |
| Added to libraryⓘ | 12 Aug 2014 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 495 |
| #Binary Variablesⓘ | 45 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 138 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 60 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 600 |
| #Linear Constraintsⓘ | 462 |
| #Quadratic Constraintsⓘ | 72 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 66 |
| Operands in Gen. Nonlin. Functionsⓘ | signpower |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 1557 |
| #Nonlinear Nonzeros in Jacobianⓘ | 174 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 174 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 102 |
| #Blocks in Hessian of Lagrangianⓘ | 102 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 2 |
| Average blocksize in Hessian of Lagrangianⓘ | 1.352941 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.8052e-04 |
| Maximal coefficientⓘ | 6.0160e+04 |
| Infeasibility of initial pointⓘ | 5796 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 601 312 163 126 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 496 451 45 0 0 0 0 0
* FX 7
*
* Nonzero counts
* Total const NL DLL
* 1618 1444 174 0
*
* Solve m using MINLP minimizing objvar;
Variables objvar,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35
,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,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,x398,x399,x400,x401
,x402,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414
,x415,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427
,x428,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440
,x441,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453
,x454,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466
,x467,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479
,x480,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492
,x493,x494,x495,x496;
Positive Variables x49,x52,x55,x58,x61,x63,x65,x67,x69,x71,x73,x75,x77,x79
,x81,x83,x85,x87,x89,x91,x93,x95,x97,x115,x118,x121,x134,x135,x139
,x140,x144,x145,x153,x155,x157,x160,x163,x166,x168,x170,x172,x176
,x177,x178,x182,x183,x184,x192,x193,x194,x195,x196,x198,x199,x200
,x201,x202,x204,x205,x206,x207,x208,x209,x211,x212,x213,x215,x216
,x217,x219,x220,x221,x223,x225,x226,x227,x229,x231,x232,x233,x235
,x237,x238,x239,x241,x243,x244,x245,x247,x249,x250,x251,x253,x255
,x256,x257,x259,x261,x262,x263,x265,x267,x268,x269,x271,x273,x274
,x275,x277,x279,x280,x293,x294,x296,x297,x299,x300,x302,x304,x306
,x308,x310,x312,x314,x315,x317,x318,x320,x321,x323,x324,x326,x327
,x329,x330,x359,x360,x362,x363,x365,x366,x368,x371,x374,x380,x382
,x384,x389,x392,x395,x398,x400,x402,x407,x409,x411,x413,x415,x417
,x428,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440
,x441,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x454,x457
,x460,x461,x462,x463,x464,x465,x466,x467,x468,x469,x470,x471,x472
,x473,x474,x475,x476,x477,x478,x479,x480,x481,x482,x483,x484,x485
,x486,x487,x488,x489,x490,x491,x492,x493,x494,x495,x496;
Binary Variables b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35
,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46;
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;
e1.. objvar - 20*x428 - 20*x429 - 20*x430 - 20*x431 - 20*x432 - 20*x433
- 20*x434 - 20*x435 - 20*x436 - 20*x437 - 20*x438 - 20*x439 - 20*x440
- 20*x441 - 20*x442 - 20*x443 - 20*x444 - 20*x445 - 20*x446 - 20*x447
- 20*x448 - 20*x449 - 20*x450 - 20*x451 - x461 - x462 - x463 - x464
- x465 - x466 - x467 - x468 - x469 - x470 - x471 - x472 - x473 - x474
- x475 - x476 - x477 - x478 - x479 - x480 - x481 - x482 - x483 - x484
- x485 - x486 - x487 - x488 - x489 - x490 - x491 - x492 - x493 - x494
- x495 - x496 =E= 0;
e2.. x210 + x212 =E= 413.764247971;
e3.. x214 + x216 =E= 413.764247971;
e4.. x218 + x220 =E= 413.764247971;
e5.. - 443.128162372*x222 + x224 + x226 =E= 0;
e6.. - 443.128162372*x228 + x230 + x232 =E= 0;
e7.. - 443.128162372*x234 + x236 + x238 =E= 0;
e8.. - 443.128162372*x240 + x242 + x244 =E= 0;
e9.. - 443.128162372*x246 + x248 + x250 =E= 0;
e10.. - 443.128162372*x252 + x254 + x256 =E= 0;
e11.. - 443.128162372*x258 + x260 + x262 =E= 0;
e12.. - 443.128162372*x264 + x266 + x268 =E= 0;
e13.. - 443.128162372*x270 + x272 + x274 =E= 0;
e14.. - 443.128162372*x276 + x278 + x280 =E= 0;
e15.. - 443.128162372*x452 + x453 + x454 =E= 0;
e16.. - 443.128162372*x455 + x456 + x457 =E= 0;
e17.. - 443.128162372*x458 + x459 + x460 =E= 0;
e18.. - 443.128162372*x47 + x48 + x49 =E= 0;
e19.. - 443.128162372*x50 + x51 + x52 =E= 0;
e20.. - 443.128162372*x53 + x54 + x55 =E= 0;
e21.. - 443.128162372*x56 + x57 + x58 =E= 0;
e22.. - 443.128162372*x59 + x60 + x61 =E= 0;
e23.. x62 + x63 =E= 413.764247971;
e24.. x64 + x65 =E= 413.764247971;
e25.. x66 + x67 =E= 413.764247971;
e26.. x68 + x69 =E= 106.777870451;
e27.. x70 + x71 =E= 106.777870451;
e28.. x72 + x73 =E= 106.777870451;
e29.. x74 + x75 =E= 106.777870451;
e30.. x76 + x77 =E= 106.777870451;
e31.. x78 + x79 =E= 106.777870451;
e32.. x80 + x81 =E= 106.777870451;
e33.. x82 + x83 =E= 106.777870451;
e34.. x84 + x85 =E= 106.777870451;
e35.. x86 + x87 =E= 106.777870452;
e36.. x88 + x89 =E= 106.777870452;
e37.. x90 + x91 =E= 106.777870452;
e38.. - x92 + x93 =E= 0;
e39.. - x94 + x95 =E= 0;
e40.. - x96 + x97 =E= 0;
e41.. x92 - x98 - x99 - x100 =E= 0;
e42.. x94 - x101 - x102 - x103 =E= 0;
e43.. x96 - x104 - x105 - x106 =E= 0;
e44.. x107 =E= 0.025;
e45.. x108 =E= 0.025;
e46.. x109 =E= 0.025;
e47.. x110 =E= 0.013;
e48.. x111 =E= 0.012;
e49.. x112 =E= 0.007;
e50.. x113 + x114 - x115 =E= 0;
e51.. x116 + x117 - x118 =E= 0;
e52.. x119 + x120 - x121 =E= 0;
e53.. x100 - x113 + x122 - x123 =E= 0;
e54.. x103 - x116 + x124 - x125 =E= 0;
e55.. x106 - x119 + x126 - x127 =E= 0;
e56.. x99 - x128 =E= 0;
e57.. x102 - x129 =E= 0;
e58.. x105 - x130 =E= 0;
e59.. x115 + x131 + x132 + x133 - x134 - x135 =E= 0;
e60.. x118 + x136 + x137 + x138 - x139 - x140 =E= 0;
e61.. x121 + x141 + x142 + x143 - x144 - x145 =E= 0;
e62.. - x107 + x123 + x128 - x146 =E= 0;
e63.. - x108 + x125 + x129 - x147 =E= 0;
e64.. - x109 + x127 + x130 - x148 =E= 0;
e65.. - x110 - x114 + x146 =E= 0;
e66.. - x111 - x117 + x147 =E= 0;
e67.. - x112 - x120 + x148 =E= 0;
e68.. x98 - x122 =E= 0;
e69.. x101 - x124 =E= 0;
e70.. x104 - x126 =E= 0;
e71.. - x149 =E= 0.1624;
e72.. - x150 =E= 0.1616;
e73.. - x151 =E= 0.0912;
e74.. x149 - x152 + x153 =E= 0;
e75.. x150 - x154 + x155 =E= 0;
e76.. x151 - x156 + x157 =E= 0;
e77.. x158 + x159 - x160 =E= 0;
e78.. x161 + x162 - x163 =E= 0;
e79.. x164 + x165 - x166 =E= 0;
e80.. x160 + x167 - x168 =E= 0;
e81.. x163 + x169 - x170 =E= 0;
e82.. x166 + x171 - x172 =E= 0;
e83.. - x167 - x173 =E= 0.0138888888888889;
e84.. - x169 - x174 =E= 0.0138888888888889;
e85.. - x171 - x175 =E= 0.0138888888888889;
e86.. - x132 + x173 - x176 =E= 0;
e87.. - x137 + x174 - x177 =E= 0;
e88.. - x142 + x175 - x178 =E= 0;
e89.. x179 =E= 0;
e90.. x180 =E= 0;
e91.. x181 =E= 0;
e92.. - x133 + x168 =E= 0;
e93.. - x138 + x170 =E= 0;
e94.. - x143 + x172 =E= 0;
e95.. - x131 - x153 =E= 0;
e96.. - x136 - x155 =E= 0;
e97.. - x141 - x157 =E= 0;
e98.. - x93 + x182 =E= 0;
e99.. - x95 + x183 =E= 0;
e100.. - x97 + x184 =E= 0;
e101.. 3600*x152 + 239.978718892*x185 - 239.978718892*x186 =E= 0;
e102.. 3600*x154 + 239.978718892*x187 - 239.978718892*x188 =E= 0;
e103.. 3600*x156 + 239.978718892*x189 - 239.978718892*x190 =E= 0;
e104.. 3600*x134 - 3600*x158 + 416.560177655*x191 - 416.560177655*x192 =E= 0
;
e105.. 3600*x139 - 3600*x161 + 416.560177655*x193 - 416.560177655*x194 =E= 0
;
e106.. 3600*x144 - 3600*x164 + 416.560177655*x195 - 416.560177655*x196 =E= 0
;
e107.. 3600*x135 - 3600*x159 + 416.560177655*x197 - 416.560177655*x198 =E= 0
;
e108.. 3600*x140 - 3600*x162 + 416.560177655*x199 - 416.560177655*x200 =E= 0
;
e109.. 3600*x145 - 3600*x165 + 416.560177655*x201 - 416.560177655*x202 =E= 0
;
e110.. 3600*x176 - 3600*x179 + 165.129961038*x203 - 165.129961038*x204 =E= 0
;
e111.. 3600*x177 - 3600*x180 + 165.129961038*x205 - 165.129961038*x206 =E= 0
;
e112.. 3600*x178 - 3600*x181 + 165.129961038*x207 - 165.129961038*x208 =E= 0
;
e113.. - x186 + x187 =E= 0;
e114.. - x188 + x189 =E= 0;
e115.. - x192 + x193 =E= 0;
e116.. - x194 + x195 =E= 0;
e117.. - x198 + x199 =E= 0;
e118.. - x200 + x201 =E= 0;
e119.. - x204 + x205 =E= 0;
e120.. - x206 + x207 =E= 0;
e121.. - 0.037494*b2 + x209 =G= 0;
e122.. - 0.037494*b3 + x211 =G= 0;
e123.. - 0.037494*b4 + x213 =G= 0;
e124.. - 0.074997*b5 + x215 =G= 0;
e125.. - 0.074997*b6 + x217 =G= 0;
e126.. - 0.074997*b7 + x219 =G= 0;
e127.. - 0.074997*b8 + x221 =G= 0;
e128.. - 0.074997*b9 + x223 =G= 0;
e129.. - 0.074997*b10 + x225 =G= 0;
e130.. - 0.074997*b11 + x227 =G= 0;
e131.. - 0.074997*b12 + x229 =G= 0;
e132.. - 0.074997*b13 + x231 =G= 0;
e133.. - 0.074997*b14 + x233 =G= 0;
e134.. - 0.074997*b15 + x235 =G= 0;
e135.. - 0.074997*b16 + x237 =G= 0;
e136.. - 0.074997*b17 + x239 =G= 0;
e137.. - 0.074997*b18 + x241 =G= 0;
e138.. - 0.074997*b19 + x243 =G= 0;
e139.. - 0.074997*b20 + x245 =G= 0;
e140.. - 0.074997*b21 + x247 =G= 0;
e141.. - 0.074997*b22 + x249 =G= 0;
e142.. - 0.037494*b23 + x251 =G= 0;
e143.. - 0.037494*b24 + x253 =G= 0;
e144.. - 0.037494*b25 + x255 =G= 0;
e145.. - 0.097497*b26 + x257 =G= 0;
e146.. - 0.097497*b27 + x259 =G= 0;
e147.. - 0.097497*b28 + x261 =G= 0;
e148.. - 0.097497*b29 + x263 =G= 0;
e149.. - 0.097497*b30 + x265 =G= 0;
e150.. - 0.097497*b31 + x267 =G= 0;
e151.. - 0.097497*b32 + x269 =G= 0;
e152.. - 0.097497*b33 + x271 =G= 0;
e153.. - 0.097497*b34 + x273 =G= 0;
e154.. - 0.058743*b35 + x275 =G= 0;
e155.. - 0.058743*b36 + x277 =G= 0;
e156.. - 0.058743*b37 + x279 =G= 0;
e157.. - 0.045826*b2 + x209 =L= 0;
e158.. - 0.045826*b3 + x211 =L= 0;
e159.. - 0.045826*b4 + x213 =L= 0;
e160.. - 0.091663*b5 + x215 =L= 0;
e161.. - 0.091663*b6 + x217 =L= 0;
e162.. - 0.091663*b7 + x219 =L= 0;
e163.. - 0.091663*b8 + x221 =L= 0;
e164.. - 0.091663*b9 + x223 =L= 0;
e165.. - 0.091663*b10 + x225 =L= 0;
e166.. - 0.091663*b11 + x227 =L= 0;
e167.. - 0.091663*b12 + x229 =L= 0;
e168.. - 0.091663*b13 + x231 =L= 0;
e169.. - 0.091663*b14 + x233 =L= 0;
e170.. - 0.091663*b15 + x235 =L= 0;
e171.. - 0.091663*b16 + x237 =L= 0;
e172.. - 0.091663*b17 + x239 =L= 0;
e173.. - 0.091663*b18 + x241 =L= 0;
e174.. - 0.091663*b19 + x243 =L= 0;
e175.. - 0.091663*b20 + x245 =L= 0;
e176.. - 0.091663*b21 + x247 =L= 0;
e177.. - 0.091663*b22 + x249 =L= 0;
e178.. - 0.045826*b23 + x251 =L= 0;
e179.. - 0.045826*b24 + x253 =L= 0;
e180.. - 0.045826*b25 + x255 =L= 0;
e181.. - 0.119163*b26 + x257 =L= 0;
e182.. - 0.119163*b27 + x259 =L= 0;
e183.. - 0.119163*b28 + x261 =L= 0;
e184.. - 0.119163*b29 + x263 =L= 0;
e185.. - 0.119163*b30 + x265 =L= 0;
e186.. - 0.119163*b31 + x267 =L= 0;
e187.. - 0.119163*b32 + x269 =L= 0;
e188.. - 0.119163*b33 + x271 =L= 0;
e189.. - 0.119163*b34 + x273 =L= 0;
e190.. - 0.071797*b35 + x275 =L= 0;
e191.. - 0.071797*b36 + x277 =L= 0;
e192.. - 0.071797*b37 + x279 =L= 0;
e193.. - x185 + x281 =E= 300;
e194.. - x187 + x282 =E= 300;
e195.. - x189 + x283 =E= 300;
e196.. - x191 + x284 =E= 240;
e197.. - x193 + x285 =E= 240;
e198.. - x195 + x286 =E= 240;
e199.. - x197 + x287 =E= 240;
e200.. - x199 + x288 =E= 240;
e201.. - x201 + x289 =E= 240;
e202.. - x203 + x290 =E= 243;
e203.. - x205 + x291 =E= 243;
e204.. - x207 + x292 =E= 243;
e205.. x293 - x294 - x295 =E= 0;
e206.. x296 - x297 - x298 =E= 0;
e207.. x299 - x300 - x301 =E= 0;
e208.. x294 - x302 - x303 =E= 0;
e209.. x297 - x304 - x305 =E= 0;
e210.. x300 - x306 - x307 =E= 0;
e211.. x294 - x308 - x309 =E= 0;
e212.. x297 - x310 - x311 =E= 0;
e213.. x300 - x312 - x313 =E= 0;
e214.. x314 - x315 - x316 =E= 0;
e215.. x317 - x318 - x319 =E= 0;
e216.. x320 - x321 - x322 =E= 0;
e217.. - x323 + x324 - x325 =E= 0;
e218.. - x326 + x327 - x328 =E= 0;
e219.. - x329 + x330 - x331 =E= 0;
e220.. x308 - x323 - x332 =E= 0;
e221.. x310 - x326 - x333 =E= 0;
e222.. x312 - x329 - x334 =E= 0;
e223.. x294 - x314 - x335 =E= 0;
e224.. x297 - x317 - x336 =E= 0;
e225.. x300 - x320 - x337 =E= 0;
e226.. x315 - x324 - x338 =E= 0;
e227.. x318 - x327 - x339 =E= 0;
e228.. x321 - x330 - x340 =E= 0;
e229.. x302 - x308 - x341 =E= 0;
e230.. x304 - x310 - x342 =E= 0;
e231.. x306 - x312 - x343 =E= 0;
e232.. x308 - x315 - x344 =E= 0;
e233.. x310 - x318 - x345 =E= 0;
e234.. x312 - x321 - x346 =E= 0;
e235.. x315 - x347 - x348 =E= 0;
e236.. x318 - x349 - x350 =E= 0;
e237.. x321 - x351 - x352 =E= 0;
e238.. x324 - x353 - x354 =E= 0;
e239.. x327 - x355 - x356 =E= 0;
e240.. x330 - x357 - x358 =E= 0;
e241.. - x359 + x360 - x361 =E= 0;
e242.. - x362 + x363 - x364 =E= 0;
e243.. - x365 + x366 - x367 =E= 0;
e244.. - x368 + x369 - x370 =E= 0;
e245.. - x371 + x372 - x373 =E= 0;
e246.. - x374 + x375 - x376 =E= 0;
e247.. - x281 + x368 - x377 =E= 0;
e248.. - x282 + x371 - x378 =E= 0;
e249.. - x283 + x374 - x379 =E= 0;
e250.. x284 - x380 - x381 =E= 0;
e251.. x285 - x382 - x383 =E= 0;
e252.. x286 - x384 - x385 =E= 0;
e253.. x287 - x380 - x386 =E= 0;
e254.. x288 - x382 - x387 =E= 0;
e255.. x289 - x384 - x388 =E= 0;
e256.. - x389 + x390 - x391 =E= 0;
e257.. - x392 + x393 - x394 =E= 0;
e258.. - x395 + x396 - x397 =E= 0;
e259.. - x359 + x398 - x399 =E= 0;
e260.. - x362 + x400 - x401 =E= 0;
e261.. - x365 + x402 - x403 =E= 0;
e262.. x390 - x398 - x404 =E= 0;
e263.. x393 - x400 - x405 =E= 0;
e264.. x396 - x402 - x406 =E= 0;
e265.. - x359 + x407 - x408 =E= 0;
e266.. - x362 + x409 - x410 =E= 0;
e267.. - x365 + x411 - x412 =E= 0;
e268.. x290 - x413 - x414 =E= 0;
e269.. x291 - x415 - x416 =E= 0;
e270.. x292 - x417 - x418 =E= 0;
e271.. x293 - x419 - x420 =E= 0;
e272.. x296 - x421 - x422 =E= 0;
e273.. x299 - x423 - x424 =E= 0;
e274.. - x380 + x389 - x425 =E= 0;
e275.. - x382 + x392 - x426 =E= 0;
e276.. - x384 + x395 - x427 =E= 0;
e277.. - 239.978718892*x185 + 239.978718892*x190 - 416.560177655*x191
+ 416.560177655*x196 - 416.560177655*x197 + 416.560177655*x202
- 165.129961038*x203 + 165.129961038*x208 =G= 0;
e278.. b2 - b23 =G= 0;
e279.. b3 - b24 =G= 0;
e280.. b4 - b25 =G= 0;
e281.. b5 - b8 =G= 0;
e282.. b6 - b9 =G= 0;
e283.. b7 - b10 =G= 0;
e284.. b8 - b11 =G= 0;
e285.. b9 - b12 =G= 0;
e286.. b10 - b13 =G= 0;
e287.. b11 - b14 =G= 0;
e288.. b12 - b15 =G= 0;
e289.. b13 - b16 =G= 0;
e290.. b14 - b17 =G= 0;
e291.. b15 - b18 =G= 0;
e292.. b16 - b19 =G= 0;
e293.. b17 - b20 =G= 0;
e294.. b18 - b21 =G= 0;
e295.. b19 - b22 =G= 0;
e296.. b26 - b29 =G= 0;
e297.. b27 - b30 =G= 0;
e298.. b28 - b31 =G= 0;
e299.. b29 - b32 =G= 0;
e300.. b30 - b33 =G= 0;
e301.. b31 - b34 =G= 0;
e302.. x93 - x209 - x215 - x221 - x227 - x233 - x239 - x245 - x251 =E= 0;
e303.. x95 - x211 - x217 - x223 - x229 - x235 - x241 - x247 - x253 =E= 0;
e304.. x97 - x213 - x219 - x225 - x231 - x237 - x243 - x249 - x255 =E= 0;
e305.. x160 - x257 - x263 - x269 - x275 =E= 0;
e306.. x163 - x259 - x265 - x271 - x277 =E= 0;
e307.. x166 - x261 - x267 - x273 - x279 =E= 0;
e308.. - 712.572602172813*b2 + x210 - x420 =G= -712.572602172813;
e309.. - 712.572602172813*b3 + x214 - x422 =G= -712.572602172813;
e310.. - 712.572602172813*b4 + x218 - x424 =G= -712.572602172813;
e311.. - 851.700667228731*b5 + x224 - x420 =G= -851.700667228731;
e312.. - 851.700667228731*b6 + x230 - x422 =G= -851.700667228731;
e313.. - 851.700667228731*b7 + x236 - x424 =G= -851.700667228731;
e314.. - 851.700667228731*b8 + x242 - x420 =G= -851.700667228731;
e315.. - 851.700667228731*b9 + x248 - x422 =G= -851.700667228731;
e316.. - 851.700667228731*b10 + x254 - x424 =G= -851.700667228731;
e317.. - 851.700667228731*b11 + x260 - x420 =G= -851.700667228731;
e318.. - 851.700667228731*b12 + x266 - x422 =G= -851.700667228731;
e319.. - 851.700667228731*b13 + x272 - x424 =G= -851.700667228731;
e320.. - 851.700667228731*b14 + x278 - x420 =G= -851.700667228731;
e321.. - 851.700667228731*b15 - x422 + x453 =G= -851.700667228731;
e322.. - 851.700667228731*b16 - x424 + x456 =G= -851.700667228731;
e323.. - 851.700667228731*b17 - x420 + x459 =G= -851.700667228731;
e324.. - 851.700667228731*b18 + x48 - x422 =G= -851.700667228731;
e325.. - 851.700667228731*b19 + x51 - x424 =G= -851.700667228731;
e326.. - 851.700667228731*b20 + x54 - x420 =G= -851.700667228731;
e327.. - 851.700667228731*b21 + x57 - x422 =G= -851.700667228731;
e328.. - 851.700667228731*b22 + x60 - x424 =G= -851.700667228731;
e329.. - 712.572602172813*b23 + x62 - x420 =G= -712.572602172813;
e330.. - 712.572602172813*b24 + x64 - x422 =G= -712.572602172813;
e331.. - 712.572602172813*b25 + x66 - x424 =G= -712.572602172813;
e332.. - 925.825187656153*b26 + x68 - x425 =G= -925.825187656153;
e333.. - 925.825187656153*b27 + x70 - x426 =G= -925.825187656153;
e334.. - 925.825187656153*b28 + x72 - x427 =G= -925.825187656153;
e335.. - 925.825187656153*b29 + x74 - x425 =G= -925.825187656153;
e336.. - 925.825187656153*b30 + x76 - x426 =G= -925.825187656153;
e337.. - 925.825187656153*b31 + x78 - x427 =G= -925.825187656153;
e338.. - 925.825187656153*b32 + x80 - x425 =G= -925.825187656153;
e339.. - 925.825187656153*b33 + x82 - x426 =G= -925.825187656153;
e340.. - 925.825187656153*b34 + x84 - x427 =G= -925.825187656153;
e341.. - 925.825187656502*b35 + x86 - x425 =G= -925.825187656502;
e342.. - 925.825187656502*b36 + x88 - x426 =G= -925.825187656502;
e343.. - 925.825187656502*b37 + x90 - x427 =G= -925.825187656502;
e344.. 447.864247971*b2 + x210 - x420 =L= 447.864247971;
e345.. 447.864247971*b3 + x214 - x422 =L= 447.864247971;
e346.. 447.864247971*b4 + x218 - x424 =L= 447.864247971;
e347.. 672.20455381568*b5 + x224 - x420 =L= 672.20455381568;
e348.. 672.20455381568*b6 + x230 - x422 =L= 672.20455381568;
e349.. 672.20455381568*b7 + x236 - x424 =L= 672.20455381568;
e350.. 672.20455381568*b8 + x242 - x420 =L= 672.20455381568;
e351.. 672.20455381568*b9 + x248 - x422 =L= 672.20455381568;
e352.. 672.20455381568*b10 + x254 - x424 =L= 672.20455381568;
e353.. 672.20455381568*b11 + x260 - x420 =L= 672.20455381568;
e354.. 672.20455381568*b12 + x266 - x422 =L= 672.20455381568;
e355.. 672.20455381568*b13 + x272 - x424 =L= 672.20455381568;
e356.. 672.20455381568*b14 + x278 - x420 =L= 672.20455381568;
e357.. 672.20455381568*b15 - x422 + x453 =L= 672.20455381568;
e358.. 672.20455381568*b16 - x424 + x456 =L= 672.20455381568;
e359.. 672.20455381568*b17 - x420 + x459 =L= 672.20455381568;
e360.. 672.20455381568*b18 + x48 - x422 =L= 672.20455381568;
e361.. 672.20455381568*b19 + x51 - x424 =L= 672.20455381568;
e362.. 672.20455381568*b20 + x54 - x420 =L= 672.20455381568;
e363.. 672.20455381568*b21 + x57 - x422 =L= 672.20455381568;
e364.. 672.20455381568*b22 + x60 - x424 =L= 672.20455381568;
e365.. 447.864247971*b23 + x62 - x420 =L= 447.864247971;
e366.. 447.864247971*b24 + x64 - x422 =L= 447.864247971;
e367.. 447.864247971*b25 + x66 - x424 =L= 447.864247971;
e368.. 1106.777870451*b26 + x68 - x425 =L= 1106.777870451;
e369.. 1106.777870451*b27 + x70 - x426 =L= 1106.777870451;
e370.. 1106.777870451*b28 + x72 - x427 =L= 1106.777870451;
e371.. 1106.777870451*b29 + x74 - x425 =L= 1106.777870451;
e372.. 1106.777870451*b30 + x76 - x426 =L= 1106.777870451;
e373.. 1106.777870451*b31 + x78 - x427 =L= 1106.777870451;
e374.. 1106.777870451*b32 + x80 - x425 =L= 1106.777870451;
e375.. 1106.777870451*b33 + x82 - x426 =L= 1106.777870451;
e376.. 1106.777870451*b34 + x84 - x427 =L= 1106.777870451;
e377.. 1106.777870452*b35 + x86 - x425 =L= 1106.777870452;
e378.. 1106.777870452*b36 + x88 - x426 =L= 1106.777870452;
e379.. 1106.777870452*b37 + x90 - x427 =L= 1106.777870452;
e380.. b2 - b3 + x428 =G= 0;
e381.. b3 - b4 + x429 =G= 0;
e382.. b5 - b6 + x430 =G= 0;
e383.. b6 - b7 + x431 =G= 0;
e384.. b8 - b9 + x432 =G= 0;
e385.. b9 - b10 + x433 =G= 0;
e386.. b11 - b12 + x434 =G= 0;
e387.. b12 - b13 + x435 =G= 0;
e388.. b14 - b15 + x436 =G= 0;
e389.. b15 - b16 + x437 =G= 0;
e390.. b17 - b18 + x438 =G= 0;
e391.. b18 - b19 + x439 =G= 0;
e392.. b20 - b21 + x440 =G= 0;
e393.. b21 - b22 + x441 =G= 0;
e394.. b23 - b24 + x442 =G= 0;
e395.. b24 - b25 + x443 =G= 0;
e396.. b26 - b27 + x444 =G= 0;
e397.. b27 - b28 + x445 =G= 0;
e398.. b29 - b30 + x446 =G= 0;
e399.. b30 - b31 + x447 =G= 0;
e400.. b32 - b33 + x448 =G= 0;
e401.. b33 - b34 + x449 =G= 0;
e402.. b35 - b36 + x450 =G= 0;
e403.. b36 - b37 + x451 =G= 0;
e404.. - b2 + b3 + x428 =G= 0;
e405.. - b3 + b4 + x429 =G= 0;
e406.. - b5 + b6 + x430 =G= 0;
e407.. - b6 + b7 + x431 =G= 0;
e408.. - b8 + b9 + x432 =G= 0;
e409.. - b9 + b10 + x433 =G= 0;
e410.. - b11 + b12 + x434 =G= 0;
e411.. - b12 + b13 + x435 =G= 0;
e412.. - b14 + b15 + x436 =G= 0;
e413.. - b15 + b16 + x437 =G= 0;
e414.. - b17 + b18 + x438 =G= 0;
e415.. - b18 + b19 + x439 =G= 0;
e416.. - b20 + b21 + x440 =G= 0;
e417.. - b21 + b22 + x441 =G= 0;
e418.. - b23 + b24 + x442 =G= 0;
e419.. - b24 + b25 + x443 =G= 0;
e420.. - b26 + b27 + x444 =G= 0;
e421.. - b27 + b28 + x445 =G= 0;
e422.. - b29 + b30 + x446 =G= 0;
e423.. - b30 + b31 + x447 =G= 0;
e424.. - b32 + b33 + x448 =G= 0;
e425.. - b33 + b34 + x449 =G= 0;
e426.. - b35 + b36 + x450 =G= 0;
e427.. - b36 + b37 + x451 =G= 0;
e428.. - 5*b38 + x115 =L= 0;
e429.. - 5*b39 + x118 =L= 0;
e430.. - 5*b40 + x121 =L= 0;
e431.. - 5*b41 + x168 =L= 0;
e432.. - 5*b42 + x170 =L= 0;
e433.. - 5*b43 + x172 =L= 0;
e434.. - 5*b44 + x153 =L= 0;
e435.. - 5*b45 + x155 =L= 0;
e436.. - 5*b46 + x157 =L= 0;
e437.. - 1000*b38 + x323 - x359 =G= -1000;
e438.. - 1000*b39 + x326 - x362 =G= -1000;
e439.. - 1000*b40 + x329 - x365 =G= -1000;
e440.. - 1000*b41 + x389 - x407 =G= -1000;
e441.. - 1000*b42 + x392 - x409 =G= -1000;
e442.. - 1000*b43 + x395 - x411 =G= -1000;
e443.. - 1000*b44 + x360 - x368 =G= -1000;
e444.. - 1000*b45 + x363 - x371 =G= -1000;
e445.. - 1000*b46 + x366 - x374 =G= -1000;
e446.. - 1000*b38 + x323 - x359 =L= 0;
e447.. - 1000*b39 + x326 - x362 =L= 0;
e448.. - 1000*b40 + x329 - x365 =L= 0;
e449.. - 1000*b41 + x389 - x407 =L= 0;
e450.. - 1000*b42 + x392 - x409 =L= 0;
e451.. - 1000*b43 + x395 - x411 =L= 0;
e452.. - 1000*b44 + x360 - x368 =L= 0;
e453.. - 1000*b45 + x363 - x371 =L= 0;
e454.. - 1000*b46 + x366 - x374 =L= 0;
e455.. - x284 + x359 =G= 60;
e456.. - x285 + x362 =G= 60;
e457.. - x286 + x365 =G= 60;
e458.. - x287 + x359 =G= 60;
e459.. - x288 + x362 =G= 60;
e460.. - x289 + x365 =G= 60;
e461.. - x290 + x398 =G= 50;
e462.. - x291 + x400 =G= 50;
e463.. - x292 + x402 =G= 50;
e464.. 60159.7666785*sqr(x209) - x212 =E= 0;
e465.. 60159.7666785*sqr(x211) - x216 =E= 0;
e466.. 60159.7666785*sqr(x213) - x220 =E= 0;
e467.. 16103.4266989*sqr(x215) - x226 =E= 0;
e468.. 16103.4266989*sqr(x217) - x232 =E= 0;
e469.. 16103.4266989*sqr(x219) - x238 =E= 0;
e470.. 16103.4266989*sqr(x221) - x244 =E= 0;
e471.. 16103.4266989*sqr(x223) - x250 =E= 0;
e472.. 16103.4266989*sqr(x225) - x256 =E= 0;
e473.. 16103.4266989*sqr(x227) - x262 =E= 0;
e474.. 16103.4266989*sqr(x229) - x268 =E= 0;
e475.. 16103.4266989*sqr(x231) - x274 =E= 0;
e476.. 16103.4266989*sqr(x233) - x280 =E= 0;
e477.. 16103.4266989*sqr(x235) - x454 =E= 0;
e478.. 16103.4266989*sqr(x237) - x457 =E= 0;
e479.. 16103.4266989*sqr(x239) - x460 =E= 0;
e480.. 16103.4266989*sqr(x241) - x49 =E= 0;
e481.. 16103.4266989*sqr(x243) - x52 =E= 0;
e482.. 16103.4266989*sqr(x245) - x55 =E= 0;
e483.. 16103.4266989*sqr(x247) - x58 =E= 0;
e484.. 16103.4266989*sqr(x249) - x61 =E= 0;
e485.. 60159.7666785*sqr(x251) - x63 =E= 0;
e486.. 60159.7666785*sqr(x253) - x65 =E= 0;
e487.. 60159.7666785*sqr(x255) - x67 =E= 0;
e488.. 2296.01902001*sqr(x257) - x69 =E= 0;
e489.. 2296.01902001*sqr(x259) - x71 =E= 0;
e490.. 2296.01902001*sqr(x261) - x73 =E= 0;
e491.. 2296.01902001*sqr(x263) - x75 =E= 0;
e492.. 2296.01902001*sqr(x265) - x77 =E= 0;
e493.. 2296.01902001*sqr(x267) - x79 =E= 0;
e494.. 2296.01902001*sqr(x269) - x81 =E= 0;
e495.. 2296.01902001*sqr(x271) - x83 =E= 0;
e496.. 2296.01902001*sqr(x273) - x85 =E= 0;
e497.. 6324.78464025*sqr(x275) - x87 =E= 0;
e498.. 6324.78464025*sqr(x277) - x89 =E= 0;
e499.. 6324.78464025*sqr(x279) - x91 =E= 0;
e500.. 2.4525*x209*x210 - x461 =L= 0;
e501.. 2.4525*x211*x214 - x462 =L= 0;
e502.. 2.4525*x213*x218 - x463 =L= 0;
e503.. 2.4525*x215*x224 - x464 =L= 0;
e504.. 2.4525*x217*x230 - x465 =L= 0;
e505.. 2.4525*x219*x236 - x466 =L= 0;
e506.. 2.4525*x221*x242 - x467 =L= 0;
e507.. 2.4525*x223*x248 - x468 =L= 0;
e508.. 2.4525*x225*x254 - x469 =L= 0;
e509.. 2.4525*x227*x260 - x470 =L= 0;
e510.. 2.4525*x229*x266 - x471 =L= 0;
e511.. 2.4525*x231*x272 - x472 =L= 0;
e512.. 2.4525*x233*x278 - x473 =L= 0;
e513.. 2.4525*x235*x453 - x474 =L= 0;
e514.. 2.4525*x237*x456 - x475 =L= 0;
e515.. 2.4525*x239*x459 - x476 =L= 0;
e516.. 2.4525*x48*x241 - x477 =L= 0;
e517.. 2.4525*x51*x243 - x478 =L= 0;
e518.. 2.4525*x54*x245 - x479 =L= 0;
e519.. 2.4525*x57*x247 - x480 =L= 0;
e520.. 2.4525*x60*x249 - x481 =L= 0;
e521.. 2.4525*x62*x251 - x482 =L= 0;
e522.. 2.4525*x64*x253 - x483 =L= 0;
e523.. 2.4525*x66*x255 - x484 =L= 0;
e524.. 2.4525*x68*x257 - x485 =L= 0;
e525.. 2.4525*x70*x259 - x486 =L= 0;
e526.. 2.4525*x72*x261 - x487 =L= 0;
e527.. 2.4525*x74*x263 - x488 =L= 0;
e528.. 2.4525*x76*x265 - x489 =L= 0;
e529.. 2.4525*x78*x267 - x490 =L= 0;
e530.. 2.4525*x80*x269 - x491 =L= 0;
e531.. 2.4525*x82*x271 - x492 =L= 0;
e532.. 2.4525*x84*x273 - x493 =L= 0;
e533.. 2.4525*x86*x275 - x494 =L= 0;
e534.. 2.4525*x88*x277 - x495 =L= 0;
e535.. 2.4525*x90*x279 - x496 =L= 0;
e536.. SignPower(x92,2) - 0.107595782151047*x295 =E= 0;
e537.. SignPower(x94,2) - 0.107595782151047*x298 =E= 0;
e538.. SignPower(x96,2) - 0.107595782151047*x301 =E= 0;
e539.. SignPower(x98,2) - 0.000240846101592208*x303 =E= 0;
e540.. SignPower(x101,2) - 0.000240846101592208*x305 =E= 0;
e541.. SignPower(x104,2) - 0.000240846101592208*x307 =E= 0;
e542.. SignPower(x100,2) - 0.0011039398274554*x309 =E= 0;
e543.. SignPower(x103,2) - 0.0011039398274554*x311 =E= 0;
e544.. SignPower(x106,2) - 0.0011039398274554*x313 =E= 0;
e545.. SignPower(x128,2) - 0.0147658094299242*x316 =E= 0;
e546.. SignPower(x129,2) - 0.0147658094299242*x319 =E= 0;
e547.. SignPower(x130,2) - 0.0147658094299242*x322 =E= 0;
e548.. SignPower(x114,2) - 0.0126524872624481*x325 =E= 0;
e549.. SignPower(x117,2) - 0.0126524872624481*x328 =E= 0;
e550.. SignPower(x120,2) - 0.0126524872624481*x331 =E= 0;
e551.. SignPower(x113,2) - 0.000713164667292268*x332 =E= 0;
e552.. SignPower(x116,2) - 0.000713164667292268*x333 =E= 0;
e553.. SignPower(x119,2) - 0.000713164667292268*x334 =E= 0;
e554.. SignPower(x99,2) - 0.0253049745248962*x335 =E= 0;
e555.. SignPower(x102,2) - 0.0253049745248962*x336 =E= 0;
e556.. SignPower(x105,2) - 0.0253049745248962*x337 =E= 0;
e557.. SignPower(x146,2) - 0.0196735206566467*x338 =E= 0;
e558.. SignPower(x147,2) - 0.0196735206566467*x339 =E= 0;
e559.. SignPower(x148,2) - 0.0196735206566467*x340 =E= 0;
e560.. SignPower(x122,2) - 0.13436247753087*x341 =E= 0;
e561.. SignPower(x124,2) - 0.13436247753087*x342 =E= 0;
e562.. SignPower(x126,2) - 0.13436247753087*x343 =E= 0;
e563.. SignPower(x123,2) - 0.13436247753087*x344 =E= 0;
e564.. SignPower(x125,2) - 0.13436247753087*x345 =E= 0;
e565.. SignPower(x127,2) - 0.13436247753087*x346 =E= 0;
e566.. SignPower(x107,2) - 0.00268724955062101*x348 =E= 0;
e567.. SignPower(x108,2) - 0.00268724955062101*x350 =E= 0;
e568.. SignPower(x109,2) - 0.00268724955062101*x352 =E= 0;
e569.. SignPower(x110,2) - 0.00175817654162355*x354 =E= 0;
e570.. SignPower(x111,2) - 0.00175817654162355*x356 =E= 0;
e571.. SignPower(x112,2) - 0.00175817654162355*x358 =E= 0;
e572.. SignPower(x131,2) - 0.0156579704750926*x361 =E= 0;
e573.. SignPower(x136,2) - 0.0156579704750926*x364 =E= 0;
e574.. SignPower(x141,2) - 0.0156579704750926*x367 =E= 0;
e575.. SignPower(x149,2) - 0.4031634796292*x370 =E= 0;
e576.. SignPower(x150,2) - 0.4031634796292*x373 =E= 0;
e577.. SignPower(x151,2) - 0.4031634796292*x376 =E= 0;
e578.. SignPower(x152,2) - 0.4031634796292*x377 =E= 0;
e579.. SignPower(x154,2) - 0.4031634796292*x378 =E= 0;
e580.. SignPower(x156,2) - 0.4031634796292*x379 =E= 0;
e581.. SignPower(x158,2) - 8.06326959261651*x381 =E= 0;
e582.. SignPower(x161,2) - 8.06326959261651*x383 =E= 0;
e583.. SignPower(x164,2) - 8.06326959261651*x385 =E= 0;
e584.. SignPower(x159,2) - 8.06326959261651*x386 =E= 0;
e585.. SignPower(x162,2) - 8.06326959261651*x387 =E= 0;
e586.. SignPower(x165,2) - 8.06326959261651*x388 =E= 0;
e587.. SignPower(x167,2) - 0.000180519501834947*x391 =E= 0;
e588.. SignPower(x169,2) - 0.000180519501834947*x394 =E= 0;
e589.. SignPower(x171,2) - 0.000180519501834947*x397 =E= 0;
e590.. SignPower(x132,2) - 0.000180519501834947*x399 =E= 0;
e591.. SignPower(x137,2) - 0.000180519501834947*x401 =E= 0;
e592.. SignPower(x142,2) - 0.000180519501834947*x403 =E= 0;
e593.. SignPower(x173,2) - 0.013538962637621*x404 =E= 0;
e594.. SignPower(x174,2) - 0.013538962637621*x405 =E= 0;
e595.. SignPower(x175,2) - 0.013538962637621*x406 =E= 0;
e596.. SignPower(x133,2) - 0.0463936827608069*x408 =E= 0;
e597.. SignPower(x138,2) - 0.0463936827608069*x410 =E= 0;
e598.. SignPower(x143,2) - 0.0463936827608069*x412 =E= 0;
e599.. SignPower(x179,2) - 0.0964450219247959*x414 =E= 0;
e600.. SignPower(x180,2) - 0.0964450219247959*x416 =E= 0;
e601.. SignPower(x181,2) - 0.0964450219247959*x418 =E= 0;
* set non-default bounds
x47.lo = 0.8; x47.up = 1.2;
x48.lo = 148.299332771269; x48.up = 638.10455381568;
x49.up = 135.302691146811;
x50.lo = 0.8; x50.up = 1.2;
x51.lo = 148.299332771269; x51.up = 638.10455381568;
x52.up = 135.302691146811;
x53.lo = 0.8; x53.up = 1.2;
x54.lo = 148.299332771269; x54.up = 638.10455381568;
x55.up = 135.302691146811;
x56.lo = 0.8; x56.up = 1.2;
x57.lo = 148.299332771269; x57.up = 638.10455381568;
x58.up = 135.302691146811;
x59.lo = 0.8; x59.up = 1.2;
x60.lo = 148.299332771269; x60.up = 638.10455381568;
x61.up = 135.302691146811;
x62.lo = 287.427397827187; x62.up = 413.764247971;
x63.up = 126.336850143813;
x64.lo = 287.427397827187; x64.up = 413.764247971;
x65.up = 126.336850143813;
x66.lo = 287.427397827187; x66.up = 413.764247971;
x67.up = 126.336850143813;
x68.lo = 74.1748123438468; x68.up = 106.777870451;
x69.up = 32.6030581071532;
x70.lo = 74.1748123438468; x70.up = 106.777870451;
x71.up = 32.6030581071532;
x72.lo = 74.1748123438468; x72.up = 106.777870451;
x73.up = 32.6030581071532;
x74.lo = 74.1748123438468; x74.up = 106.777870451;
x75.up = 32.6030581071532;
x76.lo = 74.1748123438468; x76.up = 106.777870451;
x77.up = 32.6030581071532;
x78.lo = 74.1748123438468; x78.up = 106.777870451;
x79.up = 32.6030581071532;
x80.lo = 74.1748123438468; x80.up = 106.777870451;
x81.up = 32.6030581071532;
x82.lo = 74.1748123438468; x82.up = 106.777870451;
x83.up = 32.6030581071532;
x84.lo = 74.1748123438468; x84.up = 106.777870451;
x85.up = 32.6030581071532;
x86.lo = 74.1748123434975; x86.up = 106.777870452;
x87.up = 32.6030581085025;
x88.lo = 74.1748123434975; x88.up = 106.777870452;
x89.up = 32.6030581085025;
x90.lo = 74.1748123434975; x90.up = 106.777870452;
x91.up = 32.6030581085025;
x92.lo = -5; x92.up = 5;
x93.up = 0.64163;
x94.lo = -5; x94.up = 5;
x95.up = 0.64163;
x96.lo = -5; x96.up = 5;
x97.up = 0.64163;
x98.lo = -5; x98.up = 5;
x99.lo = -5; x99.up = 5;
x100.lo = -5; x100.up = 5;
x101.lo = -5; x101.up = 5;
x102.lo = -5; x102.up = 5;
x103.lo = -5; x103.up = 5;
x104.lo = -5; x104.up = 5;
x105.lo = -5; x105.up = 5;
x106.lo = -5; x106.up = 5;
x107.lo = -5; x107.up = 5;
x108.lo = -5; x108.up = 5;
x109.lo = -5; x109.up = 5;
x110.lo = -5; x110.up = 5;
x111.lo = -5; x111.up = 5;
x112.lo = -5; x112.up = 5;
x113.lo = -5; x113.up = 5;
x114.lo = -5; x114.up = 5;
x115.up = 5;
x116.lo = -5; x116.up = 5;
x117.lo = -5; x117.up = 5;
x118.up = 5;
x119.lo = -5; x119.up = 5;
x120.lo = -5; x120.up = 5;
x121.up = 5;
x122.lo = -5; x122.up = 5;
x123.lo = -5; x123.up = 5;
x124.lo = -5; x124.up = 5;
x125.lo = -5; x125.up = 5;
x126.lo = -5; x126.up = 5;
x127.lo = -5; x127.up = 5;
x128.lo = -5; x128.up = 5;
x129.lo = -5; x129.up = 5;
x130.lo = -5; x130.up = 5;
x131.lo = -5; x131.up = 5;
x132.lo = -5; x132.up = 5;
x133.lo = -5; x133.up = 5;
x134.up = 5;
x135.up = 5;
x136.lo = -5; x136.up = 5;
x137.lo = -5; x137.up = 5;
x138.lo = -5; x138.up = 5;
x139.up = 5;
x140.up = 5;
x141.lo = -5; x141.up = 5;
x142.lo = -5; x142.up = 5;
x143.lo = -5; x143.up = 5;
x144.up = 5;
x145.up = 5;
x146.lo = -5; x146.up = 5;
x147.lo = -5; x147.up = 5;
x148.lo = -5; x148.up = 5;
x149.lo = -5; x149.up = 5;
x150.lo = -5; x150.up = 5;
x151.lo = -5; x151.up = 5;
x152.lo = -5; x152.up = 5;
x153.up = 5;
x154.lo = -5; x154.up = 5;
x155.up = 5;
x156.lo = -5; x156.up = 5;
x157.up = 5;
x158.lo = -5; x158.up = 5;
x159.lo = -5; x159.up = 5;
x160.up = 0.429286;
x161.lo = -5; x161.up = 5;
x162.lo = -5; x162.up = 5;
x163.up = 0.429286;
x164.lo = -5; x164.up = 5;
x165.lo = -5; x165.up = 5;
x166.up = 0.429286;
x167.lo = -5; x167.up = 5;
x168.up = 5;
x169.lo = -5; x169.up = 5;
x170.up = 5;
x171.lo = -5; x171.up = 5;
x172.up = 5;
x173.lo = -5; x173.up = 5;
x174.lo = -5; x174.up = 5;
x175.lo = -5; x175.up = 5;
x176.up = 5;
x177.up = 5;
x178.up = 5;
x179.lo = -5; x179.up = 5;
x180.lo = -5; x180.up = 5;
x181.lo = -5; x181.up = 5;
x182.up = 5;
x183.up = 5;
x184.up = 5;
x185.fx = 6.3;
x186.lo = 5; x186.up = 10;
x187.lo = 5; x187.up = 10;
x188.lo = 5; x188.up = 10;
x189.lo = 5; x189.up = 10;
x190.lo = 5; x190.up = 10;
x191.fx = 4.6;
x192.up = 6;
x193.up = 6;
x194.up = 6;
x195.up = 6;
x196.up = 6;
x197.fx = 4.6;
x198.up = 6;
x199.up = 6;
x200.up = 6;
x201.up = 6;
x202.up = 6;
x203.fx = 10;
x204.up = 16.5;
x205.up = 16.5;
x206.up = 16.5;
x207.up = 16.5;
x208.up = 16.5;
x209.up = 0.045826;
x210.lo = 287.427397827187; x210.up = 413.764247971;
x211.up = 0.045826;
x212.up = 126.336850143813;
x213.up = 0.045826;
x214.lo = 287.427397827187; x214.up = 413.764247971;
x215.up = 0.091663;
x216.up = 126.336850143813;
x217.up = 0.091663;
x218.lo = 287.427397827187; x218.up = 413.764247971;
x219.up = 0.091663;
x220.up = 126.336850143813;
x221.up = 0.091663;
x222.lo = 0.8; x222.up = 1.2;
x223.up = 0.091663;
x224.lo = 148.299332771269; x224.up = 638.10455381568;
x225.up = 0.091663;
x226.up = 135.302691146811;
x227.up = 0.091663;
x228.lo = 0.8; x228.up = 1.2;
x229.up = 0.091663;
x230.lo = 148.299332771269; x230.up = 638.10455381568;
x231.up = 0.091663;
x232.up = 135.302691146811;
x233.up = 0.091663;
x234.lo = 0.8; x234.up = 1.2;
x235.up = 0.091663;
x236.lo = 148.299332771269; x236.up = 638.10455381568;
x237.up = 0.091663;
x238.up = 135.302691146811;
x239.up = 0.091663;
x240.lo = 0.8; x240.up = 1.2;
x241.up = 0.091663;
x242.lo = 148.299332771269; x242.up = 638.10455381568;
x243.up = 0.091663;
x244.up = 135.302691146811;
x245.up = 0.091663;
x246.lo = 0.8; x246.up = 1.2;
x247.up = 0.091663;
x248.lo = 148.299332771269; x248.up = 638.10455381568;
x249.up = 0.091663;
x250.up = 135.302691146811;
x251.up = 0.045826;
x252.lo = 0.8; x252.up = 1.2;
x253.up = 0.045826;
x254.lo = 148.299332771269; x254.up = 638.10455381568;
x255.up = 0.045826;
x256.up = 135.302691146811;
x257.up = 0.119163;
x258.lo = 0.8; x258.up = 1.2;
x259.up = 0.119163;
x260.lo = 148.299332771269; x260.up = 638.10455381568;
x261.up = 0.119163;
x262.up = 135.302691146811;
x263.up = 0.119163;
x264.lo = 0.8; x264.up = 1.2;
x265.up = 0.119163;
x266.lo = 148.299332771269; x266.up = 638.10455381568;
x267.up = 0.119163;
x268.up = 135.302691146811;
x269.up = 0.119163;
x270.lo = 0.8; x270.up = 1.2;
x271.up = 0.119163;
x272.lo = 148.299332771269; x272.up = 638.10455381568;
x273.up = 0.119163;
x274.up = 135.302691146811;
x275.up = 0.071797;
x276.lo = 0.8; x276.up = 1.2;
x277.up = 0.071797;
x278.lo = 148.299332771269; x278.up = 638.10455381568;
x279.up = 0.071797;
x280.up = 135.302691146811;
x281.lo = 305; x281.up = 310;
x282.lo = 305; x282.up = 310;
x283.lo = 305; x283.up = 310;
x284.lo = 240; x284.up = 246;
x285.lo = 240; x285.up = 246;
x286.lo = 240; x286.up = 246;
x287.lo = 240; x287.up = 246;
x288.lo = 240; x288.up = 246;
x289.lo = 240; x289.up = 246;
x290.lo = 243; x290.up = 259.5;
x291.lo = 243; x291.up = 259.5;
x292.lo = 243; x292.up = 259.5;
x293.up = 1000;
x294.up = 1000;
x295.lo = -232.35111544525; x295.up = 232.35111544525;
x296.up = 1000;
x297.up = 1000;
x298.lo = -232.35111544525; x298.up = 232.35111544525;
x299.up = 1000;
x300.up = 1000;
x301.lo = -232.35111544525; x301.up = 232.35111544525;
x302.up = 1000;
x303.lo = -103800.7251715; x303.up = 103800.7251715;
x304.up = 1000;
x305.lo = -103800.7251715; x305.up = 103800.7251715;
x306.up = 1000;
x307.lo = -103800.7251715; x307.up = 103800.7251715;
x308.up = 1000;
x309.lo = -22646.161845275; x309.up = 22646.161845275;
x310.up = 1000;
x311.lo = -22646.161845275; x311.up = 22646.161845275;
x312.up = 1000;
x313.lo = -22646.161845275; x313.up = 22646.161845275;
x314.up = 1000;
x315.up = 1000;
x316.lo = -1693.1005454625; x316.up = 1693.1005454625;
x317.up = 1000;
x318.up = 1000;
x319.lo = -1693.1005454625; x319.up = 1693.1005454625;
x320.up = 1000;
x321.up = 1000;
x322.lo = -1693.1005454625; x322.up = 1693.1005454625;
x323.up = 1000;
x324.up = 1000;
x325.lo = -1975.896081255; x325.up = 1975.896081255;
x326.up = 1000;
x327.up = 1000;
x328.lo = -1975.896081255; x328.up = 1975.896081255;
x329.up = 1000;
x330.up = 1000;
x331.lo = -1975.896081255; x331.up = 1975.896081255;
x332.lo = -35055.017651; x332.up = 35055.017651;
x333.lo = -35055.017651; x333.up = 35055.017651;
x334.lo = -35055.017651; x334.up = 35055.017651;
x335.lo = -987.9480406275; x335.up = 987.9480406275;
x336.lo = -987.9480406275; x336.up = 987.9480406275;
x337.lo = -987.9480406275; x337.up = 987.9480406275;
x338.lo = -1270.74357642; x338.up = 1270.74357642;
x339.lo = -1270.74357642; x339.up = 1270.74357642;
x340.lo = -1270.74357642; x340.up = 1270.74357642;
x341.lo = -186.06385100525; x341.up = 186.06385100525;
x342.lo = -186.06385100525; x342.up = 186.06385100525;
x343.lo = -186.06385100525; x343.up = 186.06385100525;
x344.lo = -186.06385100525; x344.up = 186.06385100525;
x345.lo = -186.06385100525; x345.up = 186.06385100525;
x346.lo = -186.06385100525; x346.up = 186.06385100525;
x347.lo = 214.9; x347.up = 1000;
x348.lo = -9303.19255025; x348.up = 9303.19255025;
x349.lo = 214.9; x349.up = 1000;
x350.lo = -9303.19255025; x350.up = 9303.19255025;
x351.lo = 214.9; x351.up = 1000;
x352.lo = -9303.19255025; x352.up = 9303.19255025;
x353.lo = 231.04; x353.up = 1000;
x354.lo = -14219.27742075; x354.up = 14219.27742075;
x355.lo = 231.04; x355.up = 1000;
x356.lo = -14219.27742075; x356.up = 14219.27742075;
x357.lo = 231.04; x357.up = 1000;
x358.lo = -14219.27742075; x358.up = 14219.27742075;
x359.up = 1000;
x360.up = 1000;
x361.lo = -1596.630932455; x361.up = 1596.630932455;
x362.up = 1000;
x363.up = 1000;
x364.lo = -1596.630932455; x364.up = 1596.630932455;
x365.up = 1000;
x366.up = 1000;
x367.lo = -1596.630932455; x367.up = 1596.630932455;
x368.up = 1000;
x369.lo = 300; x369.up = 1000;
x370.lo = -62.00958485375; x370.up = 62.00958485375;
x371.up = 1000;
x372.lo = 300; x372.up = 1000;
x373.lo = -62.00958485375; x373.up = 62.00958485375;
x374.up = 1000;
x375.lo = 300; x375.up = 1000;
x376.lo = -62.00958485375; x376.up = 62.00958485375;
x377.lo = -62.00958485375; x377.up = 62.00958485375;
x378.lo = -62.00958485375; x378.up = 62.00958485375;
x379.lo = -62.00958485375; x379.up = 62.00958485375;
x380.up = 1000;
x381.lo = -3.100479242675; x381.up = 3.100479242675;
x382.up = 1000;
x383.lo = -3.100479242675; x383.up = 3.100479242675;
x384.up = 1000;
x385.lo = -3.100479242675; x385.up = 3.100479242675;
x386.lo = -3.100479242675; x386.up = 3.100479242675;
x387.lo = -3.100479242675; x387.up = 3.100479242675;
x388.lo = -3.100479242675; x388.up = 3.100479242675;
x389.up = 1000;
x390.lo = 243; x390.up = 1000;
x391.lo = -138489.1922805; x391.up = 138489.1922805;
x392.up = 1000;
x393.lo = 243; x393.up = 1000;
x394.lo = -138489.1922805; x394.up = 138489.1922805;
x395.up = 1000;
x396.lo = 243; x396.up = 1000;
x397.lo = -138489.1922805; x397.up = 138489.1922805;
x398.up = 1000;
x399.lo = -138489.1922805; x399.up = 138489.1922805;
x400.up = 1000;
x401.lo = -138489.1922805; x401.up = 138489.1922805;
x402.up = 1000;
x403.lo = -138489.1922805; x403.up = 138489.1922805;
x404.lo = -1846.52256374; x404.up = 1846.52256374;
x405.lo = -1846.52256374; x405.up = 1846.52256374;
x406.lo = -1846.52256374; x406.up = 1846.52256374;
x407.up = 1000;
x408.lo = -538.866468715; x408.up = 538.866468715;
x409.up = 1000;
x410.lo = -538.866468715; x410.up = 538.866468715;
x411.up = 1000;
x412.lo = -538.866468715; x412.up = 538.866468715;
x413.up = 1000;
x414.lo = -259.21503776; x414.up = 259.21503776;
x415.up = 1000;
x416.lo = -259.21503776; x416.up = 259.21503776;
x417.up = 1000;
x418.lo = -259.21503776; x418.up = 259.21503776;
x419.fx = 34.1;
x420.lo = -34.1; x420.up = 1000;
x421.fx = 34.1;
x422.lo = -34.1; x422.up = 1000;
x423.fx = 34.1;
x424.lo = -34.1; x424.up = 1000;
x425.lo = -1000; x425.up = 1000;
x426.lo = -1000; x426.up = 1000;
x427.lo = -1000; x427.up = 1000;
x428.up = 1;
x429.up = 1;
x430.up = 1;
x431.up = 1;
x432.up = 1;
x433.up = 1;
x434.up = 1;
x435.up = 1;
x436.up = 1;
x437.up = 1;
x438.up = 1;
x439.up = 1;
x440.up = 1;
x441.up = 1;
x442.up = 1;
x443.up = 1;
x444.up = 1;
x445.up = 1;
x446.up = 1;
x447.up = 1;
x448.up = 1;
x449.up = 1;
x450.up = 1;
x451.up = 1;
x452.lo = 0.8; x452.up = 1.2;
x453.lo = 148.299332771269; x453.up = 638.10455381568;
x454.up = 135.302691146811;
x455.lo = 0.8; x455.up = 1.2;
x456.lo = 148.299332771269; x456.up = 638.10455381568;
x457.up = 135.302691146811;
x458.lo = 0.8; x458.up = 1.2;
x459.lo = 148.299332771269; x459.up = 638.10455381568;
x460.up = 135.302691146811;
x461.up = 46.5022459484905;
x462.up = 46.5022459484905;
x463.up = 46.5022459484905;
x464.up = 143.448141849487;
x465.up = 143.448141849487;
x466.up = 143.448141849487;
x467.up = 143.448141849487;
x468.up = 143.448141849487;
x469.up = 143.448141849487;
x470.up = 143.448141849487;
x471.up = 143.448141849487;
x472.up = 143.448141849487;
x473.up = 143.448141849487;
x474.up = 143.448141849487;
x475.up = 143.448141849487;
x476.up = 143.448141849487;
x477.up = 143.448141849487;
x478.up = 143.448141849487;
x479.up = 143.448141849487;
x480.up = 143.448141849487;
x481.up = 143.448141849487;
x482.up = 46.5022459484905;
x483.up = 46.5022459484905;
x484.up = 46.5022459484905;
x485.up = 31.205539800995;
x486.up = 31.205539800995;
x487.up = 31.205539800995;
x488.up = 31.205539800995;
x489.up = 31.205539800995;
x490.up = 31.205539800995;
x491.up = 31.205539800995;
x492.up = 31.205539800995;
x493.up = 31.205539800995;
x494.up = 18.8016762007756;
x495.up = 18.8016762007756;
x496.up = 18.8016762007756;
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