MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance watertreatnd_flow
Flow Based Approach
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 348337.04130000 (ANTIGONE) 348337.04170000 (BARON) 348337.03580000 (COUENNE) 348337.04000000 (LINDO) 348337.03530000 (SCIP) 0.00000000 (SHOT) |
| Referencesⓘ | Ruiz, Juan and Grossmann, I E, Water Treatment Network Design, 2009. |
| Sourceⓘ | flowbased.gms from minlp.org model 24 |
| Applicationⓘ | Water Network Design |
| Added to libraryⓘ | 25 Sep 2013 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 420 |
| #Binary Variablesⓘ | 5 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 60 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 5 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 379 |
| #Linear Constraintsⓘ | 224 |
| #Quadratic Constraintsⓘ | 150 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 5 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 1169 |
| #Nonlinear Nonzeros in Jacobianⓘ | 305 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 305 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 5 |
| #Blocks in Hessian of Lagrangianⓘ | 10 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 11 |
| Average blocksize in Hessian of Lagrangianⓘ | 6.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 5.0000e-02 |
| Maximal coefficientⓘ | 8.0000e+03 |
| Infeasibility of initial pointⓘ | 1 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 380 366 5 9 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 421 416 5 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1175 870 305 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
,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,b417,b418,b419,b420,b421;
Positive Variables x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17
,x18,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34
,x35,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51
,x52,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68
,x69,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85
,x86,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101
,x102,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114
,x115,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127
,x128,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140
,x141,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153
,x154,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166
,x167,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179
,x180,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192
,x193,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205
,x206,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218
,x219,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231
,x232,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244
,x245,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257
,x258,x259,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270
,x271,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283
,x284,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296
,x297,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309
,x310,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322
,x323,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335
,x336,x337,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348
,x349,x350,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361
,x362,x363,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374
,x375,x376,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387
,x388,x389,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400
,x401,x402,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413
,x414,x415,x416;
Binary Variables b417,b418,b419,b420,b421;
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;
e1.. objvar - x2 - x3 - x4 - x5 - x6 =E= 0;
e2.. - x7 + x307 =E= 0;
e3.. - x8 + x308 =E= 0;
e4.. - x9 + x309 =E= 0;
e5.. - x10 + x310 =E= 0;
e6.. - x11 + x311 =E= 0;
e7.. - x12 + x312 =E= 0;
e8.. - x13 + x307 =E= 0;
e9.. - x14 + x308 =E= 0;
e10.. - x15 + x309 =E= 0;
e11.. - x16 + x310 =E= 0;
e12.. - x17 + x311 =E= 0;
e13.. - x18 + x312 =E= 0;
e14.. - x19 + x307 =E= 0;
e15.. - x20 + x308 =E= 0;
e16.. - x21 + x309 =E= 0;
e17.. - x22 + x310 =E= 0;
e18.. - x23 + x311 =E= 0;
e19.. - x24 + x312 =E= 0;
e20.. - x25 + x307 =E= 0;
e21.. - x26 + x308 =E= 0;
e22.. - x27 + x309 =E= 0;
e23.. - x28 + x310 =E= 0;
e24.. - x29 + x311 =E= 0;
e25.. - x30 + x312 =E= 0;
e26.. - x31 + 10*x307 =E= 0;
e27.. - x32 + 10*x308 =E= 0;
e28.. - x33 + 10*x309 =E= 0;
e29.. - x34 + 10*x310 =E= 0;
e30.. - x35 + 10*x311 =E= 0;
e31.. - x36 + 10*x312 =E= 0;
e32.. - x37 + 2*x313 =E= 0;
e33.. - x38 + 2*x314 =E= 0;
e34.. - x39 + 2*x315 =E= 0;
e35.. - x40 + 2*x316 =E= 0;
e36.. - x41 + 2*x317 =E= 0;
e37.. - x42 + 2*x318 =E= 0;
e38.. - x43 =E= 0;
e39.. - x44 =E= 0;
e40.. - x45 =E= 0;
e41.. - x46 =E= 0;
e42.. - x47 =E= 0;
e43.. - x48 =E= 0;
e44.. - x49 =E= 0;
e45.. - x50 =E= 0;
e46.. - x51 =E= 0;
e47.. - x52 =E= 0;
e48.. - x53 =E= 0;
e49.. - x54 =E= 0;
e50.. - x55 + x313 =E= 0;
e51.. - x56 + x314 =E= 0;
e52.. - x57 + x315 =E= 0;
e53.. - x58 + x316 =E= 0;
e54.. - x59 + x317 =E= 0;
e55.. - x60 + x318 =E= 0;
e56.. - x61 + 15*x313 =E= 0;
e57.. - x62 + 15*x314 =E= 0;
e58.. - x63 + 15*x315 =E= 0;
e59.. - x64 + 15*x316 =E= 0;
e60.. - x65 + 15*x317 =E= 0;
e61.. - x66 + 15*x318 =E= 0;
e62.. - x67 + x319 =E= 0;
e63.. - x68 + x320 =E= 0;
e64.. - x69 + x321 =E= 0;
e65.. - x70 + x322 =E= 0;
e66.. - x71 + x323 =E= 0;
e67.. - x72 + x324 =E= 0;
e68.. - x73 =E= 0;
e69.. - x74 =E= 0;
e70.. - x75 =E= 0;
e71.. - x76 =E= 0;
e72.. - x77 =E= 0;
e73.. - x78 =E= 0;
e74.. - x79 + x319 =E= 0;
e75.. - x80 + x320 =E= 0;
e76.. - x81 + x321 =E= 0;
e77.. - x82 + x322 =E= 0;
e78.. - x83 + x323 =E= 0;
e79.. - x84 + x324 =E= 0;
e80.. - x85 + 2*x319 =E= 0;
e81.. - x86 + 2*x320 =E= 0;
e82.. - x87 + 2*x321 =E= 0;
e83.. - x88 + 2*x322 =E= 0;
e84.. - x89 + 2*x323 =E= 0;
e85.. - x90 + 2*x324 =E= 0;
e86.. - x91 + 5*x319 =E= 0;
e87.. - x92 + 5*x320 =E= 0;
e88.. - x93 + 5*x321 =E= 0;
e89.. - x94 + 5*x322 =E= 0;
e90.. - x95 + 5*x323 =E= 0;
e91.. - x96 + 5*x324 =E= 0;
e92.. - x97 + 3*x325 =E= 0;
e93.. - x98 + 3*x326 =E= 0;
e94.. - x99 + 3*x327 =E= 0;
e95.. - x100 + 3*x328 =E= 0;
e96.. - x101 + 3*x329 =E= 0;
e97.. - x102 + 3*x330 =E= 0;
e98.. - x103 + x325 =E= 0;
e99.. - x104 + x326 =E= 0;
e100.. - x105 + x327 =E= 0;
e101.. - x106 + x328 =E= 0;
e102.. - x107 + x329 =E= 0;
e103.. - x108 + x330 =E= 0;
e104.. - x109 + x325 =E= 0;
e105.. - x110 + x326 =E= 0;
e106.. - x111 + x327 =E= 0;
e107.. - x112 + x328 =E= 0;
e108.. - x113 + x329 =E= 0;
e109.. - x114 + x330 =E= 0;
e110.. - x115 =E= 0;
e111.. - x116 =E= 0;
e112.. - x117 =E= 0;
e113.. - x118 =E= 0;
e114.. - x119 =E= 0;
e115.. - x120 =E= 0;
e116.. - x121 + 20*x325 =E= 0;
e117.. - x122 + 20*x326 =E= 0;
e118.. - x123 + 20*x327 =E= 0;
e119.. - x124 + 20*x328 =E= 0;
e120.. - x125 + 20*x329 =E= 0;
e121.. - x126 + 20*x330 =E= 0;
e122.. - x127 + 2*x331 =E= 0;
e123.. - x128 + 2*x332 =E= 0;
e124.. - x129 + 2*x333 =E= 0;
e125.. - x130 + 2*x334 =E= 0;
e126.. - x131 + 2*x335 =E= 0;
e127.. - x132 + 2*x336 =E= 0;
e128.. - x133 + 2*x331 =E= 0;
e129.. - x134 + 2*x332 =E= 0;
e130.. - x135 + 2*x333 =E= 0;
e131.. - x136 + 2*x334 =E= 0;
e132.. - x137 + 2*x335 =E= 0;
e133.. - x138 + 2*x336 =E= 0;
e134.. - x139 =E= 0;
e135.. - x140 =E= 0;
e136.. - x141 =E= 0;
e137.. - x142 =E= 0;
e138.. - x143 =E= 0;
e139.. - x144 =E= 0;
e140.. - x145 =E= 0;
e141.. - x146 =E= 0;
e142.. - x147 =E= 0;
e143.. - x148 =E= 0;
e144.. - x149 =E= 0;
e145.. - x150 =E= 0;
e146.. - x151 + 10*x331 =E= 0;
e147.. - x152 + 10*x332 =E= 0;
e148.. - x153 + 10*x333 =E= 0;
e149.. - x154 + 10*x334 =E= 0;
e150.. - x155 + 10*x335 =E= 0;
e151.. - x156 + 10*x336 =E= 0;
e152.. x337*x367 - x157 =E= 0;
e153.. x338*x367 - x158 =E= 0;
e154.. x339*x367 - x159 =E= 0;
e155.. x340*x367 - x160 =E= 0;
e156.. x341*x367 - x161 =E= 0;
e157.. x342*x367 - x162 =E= 0;
e158.. x337*x368 - x163 =E= 0;
e159.. x338*x368 - x164 =E= 0;
e160.. x339*x368 - x165 =E= 0;
e161.. x340*x368 - x166 =E= 0;
e162.. x341*x368 - x167 =E= 0;
e163.. x342*x368 - x168 =E= 0;
e164.. x337*x369 - x169 =E= 0;
e165.. x338*x369 - x170 =E= 0;
e166.. x339*x369 - x171 =E= 0;
e167.. x340*x369 - x172 =E= 0;
e168.. x341*x369 - x173 =E= 0;
e169.. x342*x369 - x174 =E= 0;
e170.. x337*x370 - x175 =E= 0;
e171.. x338*x370 - x176 =E= 0;
e172.. x339*x370 - x177 =E= 0;
e173.. x340*x370 - x178 =E= 0;
e174.. x341*x370 - x179 =E= 0;
e175.. x342*x370 - x180 =E= 0;
e176.. x337*x371 - x181 =E= 0;
e177.. x338*x371 - x182 =E= 0;
e178.. x339*x371 - x183 =E= 0;
e179.. x340*x371 - x184 =E= 0;
e180.. x341*x371 - x185 =E= 0;
e181.. x342*x371 - x186 =E= 0;
e182.. x343*x372 - x187 =E= 0;
e183.. x344*x372 - x188 =E= 0;
e184.. x345*x372 - x189 =E= 0;
e185.. x346*x372 - x190 =E= 0;
e186.. x347*x372 - x191 =E= 0;
e187.. x348*x372 - x192 =E= 0;
e188.. x343*x373 - x193 =E= 0;
e189.. x344*x373 - x194 =E= 0;
e190.. x345*x373 - x195 =E= 0;
e191.. x346*x373 - x196 =E= 0;
e192.. x347*x373 - x197 =E= 0;
e193.. x348*x373 - x198 =E= 0;
e194.. x343*x374 - x199 =E= 0;
e195.. x344*x374 - x200 =E= 0;
e196.. x345*x374 - x201 =E= 0;
e197.. x346*x374 - x202 =E= 0;
e198.. x347*x374 - x203 =E= 0;
e199.. x348*x374 - x204 =E= 0;
e200.. x343*x375 - x205 =E= 0;
e201.. x344*x375 - x206 =E= 0;
e202.. x345*x375 - x207 =E= 0;
e203.. x346*x375 - x208 =E= 0;
e204.. x347*x375 - x209 =E= 0;
e205.. x348*x375 - x210 =E= 0;
e206.. x343*x376 - x211 =E= 0;
e207.. x344*x376 - x212 =E= 0;
e208.. x345*x376 - x213 =E= 0;
e209.. x346*x376 - x214 =E= 0;
e210.. x347*x376 - x215 =E= 0;
e211.. x348*x376 - x216 =E= 0;
e212.. x349*x377 - x217 =E= 0;
e213.. x350*x377 - x218 =E= 0;
e214.. x351*x377 - x219 =E= 0;
e215.. x352*x377 - x220 =E= 0;
e216.. x353*x377 - x221 =E= 0;
e217.. x354*x377 - x222 =E= 0;
e218.. x349*x378 - x223 =E= 0;
e219.. x350*x378 - x224 =E= 0;
e220.. x351*x378 - x225 =E= 0;
e221.. x352*x378 - x226 =E= 0;
e222.. x353*x378 - x227 =E= 0;
e223.. x354*x378 - x228 =E= 0;
e224.. x349*x379 - x229 =E= 0;
e225.. x350*x379 - x230 =E= 0;
e226.. x351*x379 - x231 =E= 0;
e227.. x352*x379 - x232 =E= 0;
e228.. x353*x379 - x233 =E= 0;
e229.. x354*x379 - x234 =E= 0;
e230.. x349*x380 - x235 =E= 0;
e231.. x350*x380 - x236 =E= 0;
e232.. x351*x380 - x237 =E= 0;
e233.. x352*x380 - x238 =E= 0;
e234.. x353*x380 - x239 =E= 0;
e235.. x354*x380 - x240 =E= 0;
e236.. x349*x381 - x241 =E= 0;
e237.. x350*x381 - x242 =E= 0;
e238.. x351*x381 - x243 =E= 0;
e239.. x352*x381 - x244 =E= 0;
e240.. x353*x381 - x245 =E= 0;
e241.. x354*x381 - x246 =E= 0;
e242.. x355*x382 - x247 =E= 0;
e243.. x356*x382 - x248 =E= 0;
e244.. x357*x382 - x249 =E= 0;
e245.. x358*x382 - x250 =E= 0;
e246.. x359*x382 - x251 =E= 0;
e247.. x360*x382 - x252 =E= 0;
e248.. x355*x383 - x253 =E= 0;
e249.. x356*x383 - x254 =E= 0;
e250.. x357*x383 - x255 =E= 0;
e251.. x358*x383 - x256 =E= 0;
e252.. x359*x383 - x257 =E= 0;
e253.. x360*x383 - x258 =E= 0;
e254.. x355*x384 - x259 =E= 0;
e255.. x356*x384 - x260 =E= 0;
e256.. x357*x384 - x261 =E= 0;
e257.. x358*x384 - x262 =E= 0;
e258.. x359*x384 - x263 =E= 0;
e259.. x360*x384 - x264 =E= 0;
e260.. x355*x385 - x265 =E= 0;
e261.. x356*x385 - x266 =E= 0;
e262.. x357*x385 - x267 =E= 0;
e263.. x358*x385 - x268 =E= 0;
e264.. x359*x385 - x269 =E= 0;
e265.. x360*x385 - x270 =E= 0;
e266.. x355*x386 - x271 =E= 0;
e267.. x356*x386 - x272 =E= 0;
e268.. x357*x386 - x273 =E= 0;
e269.. x358*x386 - x274 =E= 0;
e270.. x359*x386 - x275 =E= 0;
e271.. x360*x386 - x276 =E= 0;
e272.. x361*x387 - x277 =E= 0;
e273.. x362*x387 - x278 =E= 0;
e274.. x363*x387 - x279 =E= 0;
e275.. x364*x387 - x280 =E= 0;
e276.. x365*x387 - x281 =E= 0;
e277.. x366*x387 - x282 =E= 0;
e278.. x361*x388 - x283 =E= 0;
e279.. x362*x388 - x284 =E= 0;
e280.. x363*x388 - x285 =E= 0;
e281.. x364*x388 - x286 =E= 0;
e282.. x365*x388 - x287 =E= 0;
e283.. x366*x388 - x288 =E= 0;
e284.. x361*x389 - x289 =E= 0;
e285.. x362*x389 - x290 =E= 0;
e286.. x363*x389 - x291 =E= 0;
e287.. x364*x389 - x292 =E= 0;
e288.. x365*x389 - x293 =E= 0;
e289.. x366*x389 - x294 =E= 0;
e290.. x361*x390 - x295 =E= 0;
e291.. x362*x390 - x296 =E= 0;
e292.. x363*x390 - x297 =E= 0;
e293.. x364*x390 - x298 =E= 0;
e294.. x365*x390 - x299 =E= 0;
e295.. x366*x390 - x300 =E= 0;
e296.. x361*x391 - x301 =E= 0;
e297.. x362*x391 - x302 =E= 0;
e298.. x363*x391 - x303 =E= 0;
e299.. x364*x391 - x304 =E= 0;
e300.. x365*x391 - x305 =E= 0;
e301.. x366*x391 - x306 =E= 0;
e302.. x307 + x308 + x309 + x310 + x311 + x312 =E= 1;
e303.. x313 + x314 + x315 + x316 + x317 + x318 =E= 1;
e304.. x319 + x320 + x321 + x322 + x323 + x324 =E= 1;
e305.. x325 + x326 + x327 + x328 + x329 + x330 =E= 1;
e306.. x331 + x332 + x333 + x334 + x335 + x336 =E= 1;
e307.. x337 + x338 + x339 + x340 + x341 + x342 =E= 1;
e308.. x343 + x344 + x345 + x346 + x347 + x348 =E= 1;
e309.. x349 + x350 + x351 + x352 + x353 + x354 =E= 1;
e310.. x355 + x356 + x357 + x358 + x359 + x360 =E= 1;
e311.. x361 + x362 + x363 + x364 + x365 + x366 =E= 1;
e312.. x7 + x37 + x67 + x97 + x127 + x157 + x187 + x217 + x247 + x277 - x392
=E= 0;
e313.. x13 + x43 + x73 + x103 + x133 + x163 + x193 + x223 + x253 + x283
- x393 =E= 0;
e314.. x19 + x49 + x79 + x109 + x139 + x169 + x199 + x229 + x259 + x289
- x394 =E= 0;
e315.. x25 + x55 + x85 + x115 + x145 + x175 + x205 + x235 + x265 + x295
- x395 =E= 0;
e316.. x31 + x61 + x91 + x121 + x151 + x181 + x211 + x241 + x271 + x301
- x396 =E= 0;
e317.. x8 + x38 + x68 + x98 + x128 + x158 + x188 + x218 + x248 + x278 - x397
=E= 0;
e318.. x14 + x44 + x74 + x104 + x134 + x164 + x194 + x224 + x254 + x284
- x398 =E= 0;
e319.. x20 + x50 + x80 + x110 + x140 + x170 + x200 + x230 + x260 + x290
- x399 =E= 0;
e320.. x26 + x56 + x86 + x116 + x146 + x176 + x206 + x236 + x266 + x296
- x400 =E= 0;
e321.. x32 + x62 + x92 + x122 + x152 + x182 + x212 + x242 + x272 + x302
- x401 =E= 0;
e322.. x9 + x39 + x69 + x99 + x129 + x159 + x189 + x219 + x249 + x279 - x402
=E= 0;
e323.. x15 + x45 + x75 + x105 + x135 + x165 + x195 + x225 + x255 + x285
- x403 =E= 0;
e324.. x21 + x51 + x81 + x111 + x141 + x171 + x201 + x231 + x261 + x291
- x404 =E= 0;
e325.. x27 + x57 + x87 + x117 + x147 + x177 + x207 + x237 + x267 + x297
- x405 =E= 0;
e326.. x33 + x63 + x93 + x123 + x153 + x183 + x213 + x243 + x273 + x303
- x406 =E= 0;
e327.. x10 + x40 + x70 + x100 + x130 + x160 + x190 + x220 + x250 + x280
- x407 =E= 0;
e328.. x16 + x46 + x76 + x106 + x136 + x166 + x196 + x226 + x256 + x286
- x408 =E= 0;
e329.. x22 + x52 + x82 + x112 + x142 + x172 + x202 + x232 + x262 + x292
- x409 =E= 0;
e330.. x28 + x58 + x88 + x118 + x148 + x178 + x208 + x238 + x268 + x298
- x410 =E= 0;
e331.. x34 + x64 + x94 + x124 + x154 + x184 + x214 + x244 + x274 + x304
- x411 =E= 0;
e332.. x11 + x41 + x71 + x101 + x131 + x161 + x191 + x221 + x251 + x281
- x412 =E= 0;
e333.. x17 + x47 + x77 + x107 + x137 + x167 + x197 + x227 + x257 + x287
- x413 =E= 0;
e334.. x23 + x53 + x83 + x113 + x143 + x173 + x203 + x233 + x263 + x293
- x414 =E= 0;
e335.. x29 + x59 + x89 + x119 + x149 + x179 + x209 + x239 + x269 + x299
- x415 =E= 0;
e336.. x35 + x65 + x95 + x125 + x155 + x185 + x215 + x245 + x275 + x305
- x416 =E= 0;
e337.. x367 - 0.05*x392 =E= 0;
e338.. x372 - 0.2*x397 =E= 0;
e339.. x377 - x402 =E= 0;
e340.. x382 - x407 =E= 0;
e341.. x387 - x412 =E= 0;
e342.. x368 - 0.05*x393 =E= 0;
e343.. x373 - 0.2*x398 =E= 0;
e344.. x378 - 0.4*x403 =E= 0;
e345.. x383 - 0.4*x408 =E= 0;
e346.. x388 - 0.4*x413 =E= 0;
e347.. x369 - 0.4*x394 =E= 0;
e348.. x374 - 0.4*x399 =E= 0;
e349.. x379 - 0.05*x404 =E= 0;
e350.. x384 - 0.2*x409 =E= 0;
e351.. x389 - 0.15*x414 =E= 0;
e352.. x370 - x395 =E= 0;
e353.. x375 - x400 =E= 0;
e354.. x380 - 0.05*x405 =E= 0;
e355.. x385 - 0.15*x410 =E= 0;
e356.. x390 - 0.2*x415 =E= 0;
e357.. x371 - x396 =E= 0;
e358.. x376 - x401 =E= 0;
e359.. x381 - x406 =E= 0;
e360.. x386 - x411 =E= 0;
e361.. x391 - x416 =E= 0;
e362.. x12 + x42 + x72 + x102 + x132 + x162 + x192 + x222 + x252 + x282
=L= 3;
e363.. x18 + x48 + x78 + x108 + x138 + x168 + x198 + x228 + x258 + x288
=L= 3;
e364.. x24 + x54 + x84 + x114 + x144 + x174 + x204 + x234 + x264 + x294
=L= 3;
e365.. x30 + x60 + x90 + x120 + x150 + x180 + x210 + x240 + x270 + x300
=L= 3;
e366.. x396 - 5*b417 =G= 0;
e367.. x401 - 3*b418 =G= 0;
e368.. x406 - 4*b419 =G= 0;
e369.. x411 - 3*b420 =G= 0;
e370.. x416 - b421 =G= 0;
e371.. -(1500*x396**0.7 + 8000*x396) + x2 =E= 0;
e372.. -(1000*x401**0.7 + 8000*x401) + x3 =E= 0;
e373.. -(4000*x406**0.7 + 8000*x406) + x4 =E= 0;
e374.. -(3000*x411**0.7 + 8000*x411) + x5 =E= 0;
e375.. -(3000*x416**0.7 + 8000*x416) + x6 =E= 0;
e376.. x396 - 40*b417 =L= 0;
e377.. x401 - 40*b418 =L= 0;
e378.. x406 - 40*b419 =L= 0;
e379.. x411 - 40*b420 =L= 0;
e380.. x416 - 40*b421 =L= 0;
* set non-default bounds
x307.up = 1;
x308.up = 1;
x309.up = 1;
x310.up = 1;
x311.up = 1;
x312.up = 1;
x313.up = 1;
x314.up = 1;
x315.up = 1;
x316.up = 1;
x317.up = 1;
x318.up = 1;
x319.up = 1;
x320.up = 1;
x321.up = 1;
x322.up = 1;
x323.up = 1;
x324.up = 1;
x325.up = 1;
x326.up = 1;
x327.up = 1;
x328.up = 1;
x329.up = 1;
x330.up = 1;
x331.up = 1;
x332.up = 1;
x333.up = 1;
x334.up = 1;
x335.up = 1;
x336.up = 1;
x337.up = 1;
x338.up = 1;
x339.up = 1;
x340.up = 1;
x341.up = 1;
x342.up = 1;
x343.up = 1;
x344.up = 1;
x345.up = 1;
x346.up = 1;
x347.up = 1;
x348.up = 1;
x349.up = 1;
x350.up = 1;
x351.up = 1;
x352.up = 1;
x353.up = 1;
x354.up = 1;
x355.up = 1;
x356.up = 1;
x357.up = 1;
x358.up = 1;
x359.up = 1;
x360.up = 1;
x361.up = 1;
x362.up = 1;
x363.up = 1;
x364.up = 1;
x365.up = 1;
x366.up = 1;
x367.up = 10;
x368.up = 10;
x369.up = 10;
x370.up = 10;
x371.up = 40;
x372.up = 10;
x373.up = 10;
x374.up = 10;
x375.up = 10;
x376.up = 40;
x377.up = 10;
x378.up = 10;
x379.up = 10;
x380.up = 10;
x381.up = 40;
x382.up = 10;
x383.up = 10;
x384.up = 10;
x385.up = 10;
x386.up = 40;
x387.up = 10;
x388.up = 10;
x389.up = 10;
x390.up = 10;
x391.up = 40;
x392.up = 10;
x393.up = 10;
x394.up = 10;
x395.up = 10;
x396.up = 40;
x397.up = 10;
x398.up = 10;
x399.up = 10;
x400.up = 10;
x401.up = 40;
x402.up = 10;
x403.up = 10;
x404.up = 10;
x405.up = 10;
x406.up = 40;
x407.up = 10;
x408.up = 10;
x409.up = 10;
x410.up = 10;
x411.up = 40;
x412.up = 10;
x413.up = 10;
x414.up = 10;
x415.up = 10;
x416.up = 40;
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: 2024-08-26 Git hash: 6cc1607f