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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance waterno1_02
| Formatsⓘ | ams gms osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 300.84235310 (COUENNE) 300.43184890 (LINDO) 300.84235310 (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ⓘ | 326 |
| #Binary Variablesⓘ | 30 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 92 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 36 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 391 |
| #Linear Constraintsⓘ | 299 |
| #Quadratic Constraintsⓘ | 48 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 44 |
| Operands in Gen. Nonlin. Functionsⓘ | signpower |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 1014 |
| #Nonlinear Nonzeros in Jacobianⓘ | 116 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 116 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 68 |
| #Blocks in Hessian of Lagrangianⓘ | 68 |
| 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
* 392 207 101 84 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 327 297 30 0 0 0 0 0
* FX 6
*
* Nonzero counts
* Total const NL DLL
* 1051 935 116 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,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;
Positive Variables x32,x35,x38,x41,x43,x45,x47,x49,x51,x53,x55,x57,x59,x61
,x63,x65,x78,x81,x91,x92,x96,x97,x103,x105,x108,x111,x113,x115,x118
,x119,x122,x123,x129,x130,x131,x133,x134,x135,x137,x138,x139,x140
,x142,x143,x144,x146,x147,x148,x150,x152,x153,x154,x156,x158,x159
,x160,x162,x164,x165,x166,x168,x170,x171,x172,x174,x176,x177,x178
,x180,x182,x183,x184,x186,x196,x197,x199,x200,x202,x204,x206,x208
,x210,x211,x213,x214,x216,x217,x219,x220,x240,x241,x243,x244,x246
,x249,x254,x256,x260,x263,x266,x268,x272,x274,x276,x278,x286,x287
,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297,x298,x301,x304
,x305,x306,x307,x308,x309,x310,x311,x312,x313,x314,x315,x316,x317
,x318,x319,x320,x321,x322,x323,x324,x325,x326,x327;
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;
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;
e1.. objvar - 20*x286 - 20*x287 - 20*x288 - 20*x289 - 20*x290 - 20*x291
- 20*x292 - 20*x293 - 20*x294 - 20*x295 - 20*x296 - 20*x297 - x304 - x305
- x306 - x307 - x308 - x309 - x310 - x311 - x312 - x313 - x314 - x315
- x316 - x317 - x318 - x319 - x320 - x321 - x322 - x323 - x324 - x325
- x326 - x327 =E= 0;
e2.. x141 + x143 =E= 413.764247971;
e3.. x145 + x147 =E= 413.764247971;
e4.. - 443.128162372*x149 + x151 + x153 =E= 0;
e5.. - 443.128162372*x155 + x157 + x159 =E= 0;
e6.. - 443.128162372*x161 + x163 + x165 =E= 0;
e7.. - 443.128162372*x167 + x169 + x171 =E= 0;
e8.. - 443.128162372*x173 + x175 + x177 =E= 0;
e9.. - 443.128162372*x179 + x181 + x183 =E= 0;
e10.. - 443.128162372*x185 + x187 + x298 =E= 0;
e11.. - 443.128162372*x299 + x300 + x301 =E= 0;
e12.. x32 - 443.128162372*x302 + x303 =E= 0;
e13.. - 443.128162372*x33 + x34 + x35 =E= 0;
e14.. - 443.128162372*x36 + x37 + x38 =E= 0;
e15.. - 443.128162372*x39 + x40 + x41 =E= 0;
e16.. x42 + x43 =E= 413.764247971;
e17.. x44 + x45 =E= 413.764247971;
e18.. x46 + x47 =E= 106.777870451;
e19.. x48 + x49 =E= 106.777870451;
e20.. x50 + x51 =E= 106.777870451;
e21.. x52 + x53 =E= 106.777870451;
e22.. x54 + x55 =E= 106.777870451;
e23.. x56 + x57 =E= 106.777870451;
e24.. x58 + x59 =E= 106.777870452;
e25.. x60 + x61 =E= 106.777870452;
e26.. - x62 + x63 =E= 0;
e27.. - x64 + x65 =E= 0;
e28.. x62 - x66 - x67 - x68 =E= 0;
e29.. x64 - x69 - x70 - x71 =E= 0;
e30.. x72 =E= 0.025;
e31.. x73 =E= 0.025;
e32.. x74 =E= 0.013;
e33.. x75 =E= 0.012;
e34.. x76 + x77 - x78 =E= 0;
e35.. x79 + x80 - x81 =E= 0;
e36.. x68 - x76 + x82 - x83 =E= 0;
e37.. x71 - x79 + x84 - x85 =E= 0;
e38.. x67 - x86 =E= 0;
e39.. x70 - x87 =E= 0;
e40.. x78 + x88 + x89 + x90 - x91 - x92 =E= 0;
e41.. x81 + x93 + x94 + x95 - x96 - x97 =E= 0;
e42.. - x72 + x83 + x86 - x98 =E= 0;
e43.. - x73 + x85 + x87 - x99 =E= 0;
e44.. - x74 - x77 + x98 =E= 0;
e45.. - x75 - x80 + x99 =E= 0;
e46.. x66 - x82 =E= 0;
e47.. x69 - x84 =E= 0;
e48.. - x100 =E= 0.1624;
e49.. - x101 =E= 0.1616;
e50.. x100 - x102 + x103 =E= 0;
e51.. x101 - x104 + x105 =E= 0;
e52.. x106 + x107 - x108 =E= 0;
e53.. x109 + x110 - x111 =E= 0;
e54.. x108 + x112 - x113 =E= 0;
e55.. x111 + x114 - x115 =E= 0;
e56.. - x112 - x116 =E= 0.0138888888888889;
e57.. - x114 - x117 =E= 0.0138888888888889;
e58.. - x89 + x116 - x118 =E= 0;
e59.. - x94 + x117 - x119 =E= 0;
e60.. x120 =E= 0;
e61.. x121 =E= 0;
e62.. - x90 + x113 =E= 0;
e63.. - x95 + x115 =E= 0;
e64.. - x88 - x103 =E= 0;
e65.. - x93 - x105 =E= 0;
e66.. - x63 + x122 =E= 0;
e67.. - x65 + x123 =E= 0;
e68.. 3600*x102 + 239.978718892*x124 - 239.978718892*x125 =E= 0;
e69.. 3600*x104 + 239.978718892*x126 - 239.978718892*x127 =E= 0;
e70.. 3600*x91 - 3600*x106 + 416.560177655*x128 - 416.560177655*x129 =E= 0;
e71.. 3600*x96 - 3600*x109 + 416.560177655*x130 - 416.560177655*x131 =E= 0;
e72.. 3600*x92 - 3600*x107 + 416.560177655*x132 - 416.560177655*x133 =E= 0;
e73.. 3600*x97 - 3600*x110 + 416.560177655*x134 - 416.560177655*x135 =E= 0;
e74.. 3600*x118 - 3600*x120 + 165.129961038*x136 - 165.129961038*x137 =E= 0;
e75.. 3600*x119 - 3600*x121 + 165.129961038*x138 - 165.129961038*x139 =E= 0;
e76.. - x125 + x126 =E= 0;
e77.. - x129 + x130 =E= 0;
e78.. - x133 + x134 =E= 0;
e79.. - x137 + x138 =E= 0;
e80.. - 0.037494*b2 + x140 =G= 0;
e81.. - 0.037494*b3 + x142 =G= 0;
e82.. - 0.074997*b4 + x144 =G= 0;
e83.. - 0.074997*b5 + x146 =G= 0;
e84.. - 0.074997*b6 + x148 =G= 0;
e85.. - 0.074997*b7 + x150 =G= 0;
e86.. - 0.074997*b8 + x152 =G= 0;
e87.. - 0.074997*b9 + x154 =G= 0;
e88.. - 0.074997*b10 + x156 =G= 0;
e89.. - 0.074997*b11 + x158 =G= 0;
e90.. - 0.074997*b12 + x160 =G= 0;
e91.. - 0.074997*b13 + x162 =G= 0;
e92.. - 0.074997*b14 + x164 =G= 0;
e93.. - 0.074997*b15 + x166 =G= 0;
e94.. - 0.037494*b16 + x168 =G= 0;
e95.. - 0.037494*b17 + x170 =G= 0;
e96.. - 0.097497*b18 + x172 =G= 0;
e97.. - 0.097497*b19 + x174 =G= 0;
e98.. - 0.097497*b20 + x176 =G= 0;
e99.. - 0.097497*b21 + x178 =G= 0;
e100.. - 0.097497*b22 + x180 =G= 0;
e101.. - 0.097497*b23 + x182 =G= 0;
e102.. - 0.058743*b24 + x184 =G= 0;
e103.. - 0.058743*b25 + x186 =G= 0;
e104.. - 0.045826*b2 + x140 =L= 0;
e105.. - 0.045826*b3 + x142 =L= 0;
e106.. - 0.091663*b4 + x144 =L= 0;
e107.. - 0.091663*b5 + x146 =L= 0;
e108.. - 0.091663*b6 + x148 =L= 0;
e109.. - 0.091663*b7 + x150 =L= 0;
e110.. - 0.091663*b8 + x152 =L= 0;
e111.. - 0.091663*b9 + x154 =L= 0;
e112.. - 0.091663*b10 + x156 =L= 0;
e113.. - 0.091663*b11 + x158 =L= 0;
e114.. - 0.091663*b12 + x160 =L= 0;
e115.. - 0.091663*b13 + x162 =L= 0;
e116.. - 0.091663*b14 + x164 =L= 0;
e117.. - 0.091663*b15 + x166 =L= 0;
e118.. - 0.045826*b16 + x168 =L= 0;
e119.. - 0.045826*b17 + x170 =L= 0;
e120.. - 0.119163*b18 + x172 =L= 0;
e121.. - 0.119163*b19 + x174 =L= 0;
e122.. - 0.119163*b20 + x176 =L= 0;
e123.. - 0.119163*b21 + x178 =L= 0;
e124.. - 0.119163*b22 + x180 =L= 0;
e125.. - 0.119163*b23 + x182 =L= 0;
e126.. - 0.071797*b24 + x184 =L= 0;
e127.. - 0.071797*b25 + x186 =L= 0;
e128.. - x124 + x188 =E= 300;
e129.. - x126 + x189 =E= 300;
e130.. - x128 + x190 =E= 240;
e131.. - x130 + x191 =E= 240;
e132.. - x132 + x192 =E= 240;
e133.. - x134 + x193 =E= 240;
e134.. - x136 + x194 =E= 243;
e135.. - x138 + x195 =E= 243;
e136.. x196 - x197 - x198 =E= 0;
e137.. x199 - x200 - x201 =E= 0;
e138.. x197 - x202 - x203 =E= 0;
e139.. x200 - x204 - x205 =E= 0;
e140.. x197 - x206 - x207 =E= 0;
e141.. x200 - x208 - x209 =E= 0;
e142.. x210 - x211 - x212 =E= 0;
e143.. x213 - x214 - x215 =E= 0;
e144.. - x216 + x217 - x218 =E= 0;
e145.. - x219 + x220 - x221 =E= 0;
e146.. x206 - x216 - x222 =E= 0;
e147.. x208 - x219 - x223 =E= 0;
e148.. x197 - x210 - x224 =E= 0;
e149.. x200 - x213 - x225 =E= 0;
e150.. x211 - x217 - x226 =E= 0;
e151.. x214 - x220 - x227 =E= 0;
e152.. x202 - x206 - x228 =E= 0;
e153.. x204 - x208 - x229 =E= 0;
e154.. x206 - x211 - x230 =E= 0;
e155.. x208 - x214 - x231 =E= 0;
e156.. x211 - x232 - x233 =E= 0;
e157.. x214 - x234 - x235 =E= 0;
e158.. x217 - x236 - x237 =E= 0;
e159.. x220 - x238 - x239 =E= 0;
e160.. - x240 + x241 - x242 =E= 0;
e161.. - x243 + x244 - x245 =E= 0;
e162.. - x246 + x247 - x248 =E= 0;
e163.. - x249 + x250 - x251 =E= 0;
e164.. - x188 + x246 - x252 =E= 0;
e165.. - x189 + x249 - x253 =E= 0;
e166.. x190 - x254 - x255 =E= 0;
e167.. x191 - x256 - x257 =E= 0;
e168.. x192 - x254 - x258 =E= 0;
e169.. x193 - x256 - x259 =E= 0;
e170.. - x260 + x261 - x262 =E= 0;
e171.. - x263 + x264 - x265 =E= 0;
e172.. - x240 + x266 - x267 =E= 0;
e173.. - x243 + x268 - x269 =E= 0;
e174.. x261 - x266 - x270 =E= 0;
e175.. x264 - x268 - x271 =E= 0;
e176.. - x240 + x272 - x273 =E= 0;
e177.. - x243 + x274 - x275 =E= 0;
e178.. x194 - x276 - x277 =E= 0;
e179.. x195 - x278 - x279 =E= 0;
e180.. x196 - x280 - x281 =E= 0;
e181.. x199 - x282 - x283 =E= 0;
e182.. - x254 + x260 - x284 =E= 0;
e183.. - x256 + x263 - x285 =E= 0;
e184.. - 239.978718892*x124 + 239.978718892*x127 - 416.560177655*x128
+ 416.560177655*x131 - 416.560177655*x132 + 416.560177655*x135
- 165.129961038*x136 + 165.129961038*x139 =G= 0;
e185.. b2 - b16 =G= 0;
e186.. b3 - b17 =G= 0;
e187.. b4 - b6 =G= 0;
e188.. b5 - b7 =G= 0;
e189.. b6 - b8 =G= 0;
e190.. b7 - b9 =G= 0;
e191.. b8 - b10 =G= 0;
e192.. b9 - b11 =G= 0;
e193.. b10 - b12 =G= 0;
e194.. b11 - b13 =G= 0;
e195.. b12 - b14 =G= 0;
e196.. b13 - b15 =G= 0;
e197.. b18 - b20 =G= 0;
e198.. b19 - b21 =G= 0;
e199.. b20 - b22 =G= 0;
e200.. b21 - b23 =G= 0;
e201.. x63 - x140 - x144 - x148 - x152 - x156 - x160 - x164 - x168 =E= 0;
e202.. x65 - x142 - x146 - x150 - x154 - x158 - x162 - x166 - x170 =E= 0;
e203.. x108 - x172 - x176 - x180 - x184 =E= 0;
e204.. x111 - x174 - x178 - x182 - x186 =E= 0;
e205.. - 712.572602172813*b2 + x141 - x281 =G= -712.572602172813;
e206.. - 712.572602172813*b3 + x145 - x283 =G= -712.572602172813;
e207.. - 851.700667228731*b4 + x151 - x281 =G= -851.700667228731;
e208.. - 851.700667228731*b5 + x157 - x283 =G= -851.700667228731;
e209.. - 851.700667228731*b6 + x163 - x281 =G= -851.700667228731;
e210.. - 851.700667228731*b7 + x169 - x283 =G= -851.700667228731;
e211.. - 851.700667228731*b8 + x175 - x281 =G= -851.700667228731;
e212.. - 851.700667228731*b9 + x181 - x283 =G= -851.700667228731;
e213.. - 851.700667228731*b10 + x187 - x281 =G= -851.700667228731;
e214.. - 851.700667228731*b11 - x283 + x300 =G= -851.700667228731;
e215.. - 851.700667228731*b12 - x281 + x303 =G= -851.700667228731;
e216.. - 851.700667228731*b13 + x34 - x283 =G= -851.700667228731;
e217.. - 851.700667228731*b14 + x37 - x281 =G= -851.700667228731;
e218.. - 851.700667228731*b15 + x40 - x283 =G= -851.700667228731;
e219.. - 712.572602172813*b16 + x42 - x281 =G= -712.572602172813;
e220.. - 712.572602172813*b17 + x44 - x283 =G= -712.572602172813;
e221.. - 925.825187656153*b18 + x46 - x284 =G= -925.825187656153;
e222.. - 925.825187656153*b19 + x48 - x285 =G= -925.825187656153;
e223.. - 925.825187656153*b20 + x50 - x284 =G= -925.825187656153;
e224.. - 925.825187656153*b21 + x52 - x285 =G= -925.825187656153;
e225.. - 925.825187656153*b22 + x54 - x284 =G= -925.825187656153;
e226.. - 925.825187656153*b23 + x56 - x285 =G= -925.825187656153;
e227.. - 925.825187656502*b24 + x58 - x284 =G= -925.825187656502;
e228.. - 925.825187656502*b25 + x60 - x285 =G= -925.825187656502;
e229.. 447.864247971*b2 + x141 - x281 =L= 447.864247971;
e230.. 447.864247971*b3 + x145 - x283 =L= 447.864247971;
e231.. 672.20455381568*b4 + x151 - x281 =L= 672.20455381568;
e232.. 672.20455381568*b5 + x157 - x283 =L= 672.20455381568;
e233.. 672.20455381568*b6 + x163 - x281 =L= 672.20455381568;
e234.. 672.20455381568*b7 + x169 - x283 =L= 672.20455381568;
e235.. 672.20455381568*b8 + x175 - x281 =L= 672.20455381568;
e236.. 672.20455381568*b9 + x181 - x283 =L= 672.20455381568;
e237.. 672.20455381568*b10 + x187 - x281 =L= 672.20455381568;
e238.. 672.20455381568*b11 - x283 + x300 =L= 672.20455381568;
e239.. 672.20455381568*b12 - x281 + x303 =L= 672.20455381568;
e240.. 672.20455381568*b13 + x34 - x283 =L= 672.20455381568;
e241.. 672.20455381568*b14 + x37 - x281 =L= 672.20455381568;
e242.. 672.20455381568*b15 + x40 - x283 =L= 672.20455381568;
e243.. 447.864247971*b16 + x42 - x281 =L= 447.864247971;
e244.. 447.864247971*b17 + x44 - x283 =L= 447.864247971;
e245.. 1106.777870451*b18 + x46 - x284 =L= 1106.777870451;
e246.. 1106.777870451*b19 + x48 - x285 =L= 1106.777870451;
e247.. 1106.777870451*b20 + x50 - x284 =L= 1106.777870451;
e248.. 1106.777870451*b21 + x52 - x285 =L= 1106.777870451;
e249.. 1106.777870451*b22 + x54 - x284 =L= 1106.777870451;
e250.. 1106.777870451*b23 + x56 - x285 =L= 1106.777870451;
e251.. 1106.777870452*b24 + x58 - x284 =L= 1106.777870452;
e252.. 1106.777870452*b25 + x60 - x285 =L= 1106.777870452;
e253.. b2 - b3 + x286 =G= 0;
e254.. b4 - b5 + x287 =G= 0;
e255.. b6 - b7 + x288 =G= 0;
e256.. b8 - b9 + x289 =G= 0;
e257.. b10 - b11 + x290 =G= 0;
e258.. b12 - b13 + x291 =G= 0;
e259.. b14 - b15 + x292 =G= 0;
e260.. b16 - b17 + x293 =G= 0;
e261.. b18 - b19 + x294 =G= 0;
e262.. b20 - b21 + x295 =G= 0;
e263.. b22 - b23 + x296 =G= 0;
e264.. b24 - b25 + x297 =G= 0;
e265.. - b2 + b3 + x286 =G= 0;
e266.. - b4 + b5 + x287 =G= 0;
e267.. - b6 + b7 + x288 =G= 0;
e268.. - b8 + b9 + x289 =G= 0;
e269.. - b10 + b11 + x290 =G= 0;
e270.. - b12 + b13 + x291 =G= 0;
e271.. - b14 + b15 + x292 =G= 0;
e272.. - b16 + b17 + x293 =G= 0;
e273.. - b18 + b19 + x294 =G= 0;
e274.. - b20 + b21 + x295 =G= 0;
e275.. - b22 + b23 + x296 =G= 0;
e276.. - b24 + b25 + x297 =G= 0;
e277.. - 5*b26 + x78 =L= 0;
e278.. - 5*b27 + x81 =L= 0;
e279.. - 5*b28 + x113 =L= 0;
e280.. - 5*b29 + x115 =L= 0;
e281.. - 5*b30 + x103 =L= 0;
e282.. - 5*b31 + x105 =L= 0;
e283.. - 1000*b26 + x216 - x240 =G= -1000;
e284.. - 1000*b27 + x219 - x243 =G= -1000;
e285.. - 1000*b28 + x260 - x272 =G= -1000;
e286.. - 1000*b29 + x263 - x274 =G= -1000;
e287.. - 1000*b30 + x241 - x246 =G= -1000;
e288.. - 1000*b31 + x244 - x249 =G= -1000;
e289.. - 1000*b26 + x216 - x240 =L= 0;
e290.. - 1000*b27 + x219 - x243 =L= 0;
e291.. - 1000*b28 + x260 - x272 =L= 0;
e292.. - 1000*b29 + x263 - x274 =L= 0;
e293.. - 1000*b30 + x241 - x246 =L= 0;
e294.. - 1000*b31 + x244 - x249 =L= 0;
e295.. - x190 + x240 =G= 60;
e296.. - x191 + x243 =G= 60;
e297.. - x192 + x240 =G= 60;
e298.. - x193 + x243 =G= 60;
e299.. - x194 + x266 =G= 50;
e300.. - x195 + x268 =G= 50;
e301.. 60159.7666785*sqr(x140) - x143 =E= 0;
e302.. 60159.7666785*sqr(x142) - x147 =E= 0;
e303.. 16103.4266989*sqr(x144) - x153 =E= 0;
e304.. 16103.4266989*sqr(x146) - x159 =E= 0;
e305.. 16103.4266989*sqr(x148) - x165 =E= 0;
e306.. 16103.4266989*sqr(x150) - x171 =E= 0;
e307.. 16103.4266989*sqr(x152) - x177 =E= 0;
e308.. 16103.4266989*sqr(x154) - x183 =E= 0;
e309.. 16103.4266989*sqr(x156) - x298 =E= 0;
e310.. 16103.4266989*sqr(x158) - x301 =E= 0;
e311.. 16103.4266989*sqr(x160) - x32 =E= 0;
e312.. 16103.4266989*sqr(x162) - x35 =E= 0;
e313.. 16103.4266989*sqr(x164) - x38 =E= 0;
e314.. 16103.4266989*sqr(x166) - x41 =E= 0;
e315.. 60159.7666785*sqr(x168) - x43 =E= 0;
e316.. 60159.7666785*sqr(x170) - x45 =E= 0;
e317.. 2296.01902001*sqr(x172) - x47 =E= 0;
e318.. 2296.01902001*sqr(x174) - x49 =E= 0;
e319.. 2296.01902001*sqr(x176) - x51 =E= 0;
e320.. 2296.01902001*sqr(x178) - x53 =E= 0;
e321.. 2296.01902001*sqr(x180) - x55 =E= 0;
e322.. 2296.01902001*sqr(x182) - x57 =E= 0;
e323.. 6324.78464025*sqr(x184) - x59 =E= 0;
e324.. 6324.78464025*sqr(x186) - x61 =E= 0;
e325.. 2.4525*x140*x141 - x304 =L= 0;
e326.. 2.4525*x142*x145 - x305 =L= 0;
e327.. 2.4525*x144*x151 - x306 =L= 0;
e328.. 2.4525*x146*x157 - x307 =L= 0;
e329.. 2.4525*x148*x163 - x308 =L= 0;
e330.. 2.4525*x150*x169 - x309 =L= 0;
e331.. 2.4525*x152*x175 - x310 =L= 0;
e332.. 2.4525*x154*x181 - x311 =L= 0;
e333.. 2.4525*x156*x187 - x312 =L= 0;
e334.. 2.4525*x158*x300 - x313 =L= 0;
e335.. 2.4525*x160*x303 - x314 =L= 0;
e336.. 2.4525*x34*x162 - x315 =L= 0;
e337.. 2.4525*x37*x164 - x316 =L= 0;
e338.. 2.4525*x40*x166 - x317 =L= 0;
e339.. 2.4525*x42*x168 - x318 =L= 0;
e340.. 2.4525*x44*x170 - x319 =L= 0;
e341.. 2.4525*x46*x172 - x320 =L= 0;
e342.. 2.4525*x48*x174 - x321 =L= 0;
e343.. 2.4525*x50*x176 - x322 =L= 0;
e344.. 2.4525*x52*x178 - x323 =L= 0;
e345.. 2.4525*x54*x180 - x324 =L= 0;
e346.. 2.4525*x56*x182 - x325 =L= 0;
e347.. 2.4525*x58*x184 - x326 =L= 0;
e348.. 2.4525*x60*x186 - x327 =L= 0;
e349.. SignPower(x62,2) - 0.107595782151047*x198 =E= 0;
e350.. SignPower(x64,2) - 0.107595782151047*x201 =E= 0;
e351.. SignPower(x66,2) - 0.000240846101592208*x203 =E= 0;
e352.. SignPower(x69,2) - 0.000240846101592208*x205 =E= 0;
e353.. SignPower(x68,2) - 0.0011039398274554*x207 =E= 0;
e354.. SignPower(x71,2) - 0.0011039398274554*x209 =E= 0;
e355.. SignPower(x86,2) - 0.0147658094299242*x212 =E= 0;
e356.. SignPower(x87,2) - 0.0147658094299242*x215 =E= 0;
e357.. SignPower(x77,2) - 0.0126524872624481*x218 =E= 0;
e358.. SignPower(x80,2) - 0.0126524872624481*x221 =E= 0;
e359.. SignPower(x76,2) - 0.000713164667292268*x222 =E= 0;
e360.. SignPower(x79,2) - 0.000713164667292268*x223 =E= 0;
e361.. SignPower(x67,2) - 0.0253049745248962*x224 =E= 0;
e362.. SignPower(x70,2) - 0.0253049745248962*x225 =E= 0;
e363.. SignPower(x98,2) - 0.0196735206566467*x226 =E= 0;
e364.. SignPower(x99,2) - 0.0196735206566467*x227 =E= 0;
e365.. SignPower(x82,2) - 0.13436247753087*x228 =E= 0;
e366.. SignPower(x84,2) - 0.13436247753087*x229 =E= 0;
e367.. SignPower(x83,2) - 0.13436247753087*x230 =E= 0;
e368.. SignPower(x85,2) - 0.13436247753087*x231 =E= 0;
e369.. SignPower(x72,2) - 0.00268724955062101*x233 =E= 0;
e370.. SignPower(x73,2) - 0.00268724955062101*x235 =E= 0;
e371.. SignPower(x74,2) - 0.00175817654162355*x237 =E= 0;
e372.. SignPower(x75,2) - 0.00175817654162355*x239 =E= 0;
e373.. SignPower(x88,2) - 0.0156579704750926*x242 =E= 0;
e374.. SignPower(x93,2) - 0.0156579704750926*x245 =E= 0;
e375.. SignPower(x100,2) - 0.4031634796292*x248 =E= 0;
e376.. SignPower(x101,2) - 0.4031634796292*x251 =E= 0;
e377.. SignPower(x102,2) - 0.4031634796292*x252 =E= 0;
e378.. SignPower(x104,2) - 0.4031634796292*x253 =E= 0;
e379.. SignPower(x106,2) - 8.06326959261651*x255 =E= 0;
e380.. SignPower(x109,2) - 8.06326959261651*x257 =E= 0;
e381.. SignPower(x107,2) - 8.06326959261651*x258 =E= 0;
e382.. SignPower(x110,2) - 8.06326959261651*x259 =E= 0;
e383.. SignPower(x112,2) - 0.000180519501834947*x262 =E= 0;
e384.. SignPower(x114,2) - 0.000180519501834947*x265 =E= 0;
e385.. SignPower(x89,2) - 0.000180519501834947*x267 =E= 0;
e386.. SignPower(x94,2) - 0.000180519501834947*x269 =E= 0;
e387.. SignPower(x116,2) - 0.013538962637621*x270 =E= 0;
e388.. SignPower(x117,2) - 0.013538962637621*x271 =E= 0;
e389.. SignPower(x90,2) - 0.0463936827608069*x273 =E= 0;
e390.. SignPower(x95,2) - 0.0463936827608069*x275 =E= 0;
e391.. SignPower(x120,2) - 0.0964450219247959*x277 =E= 0;
e392.. SignPower(x121,2) - 0.0964450219247959*x279 =E= 0;
* set non-default bounds
x32.up = 135.302691146811;
x33.lo = 0.8; x33.up = 1.2;
x34.lo = 148.299332771269; x34.up = 638.10455381568;
x35.up = 135.302691146811;
x36.lo = 0.8; x36.up = 1.2;
x37.lo = 148.299332771269; x37.up = 638.10455381568;
x38.up = 135.302691146811;
x39.lo = 0.8; x39.up = 1.2;
x40.lo = 148.299332771269; x40.up = 638.10455381568;
x41.up = 135.302691146811;
x42.lo = 287.427397827187; x42.up = 413.764247971;
x43.up = 126.336850143813;
x44.lo = 287.427397827187; x44.up = 413.764247971;
x45.up = 126.336850143813;
x46.lo = 74.1748123438468; x46.up = 106.777870451;
x47.up = 32.6030581071532;
x48.lo = 74.1748123438468; x48.up = 106.777870451;
x49.up = 32.6030581071532;
x50.lo = 74.1748123438468; x50.up = 106.777870451;
x51.up = 32.6030581071532;
x52.lo = 74.1748123438468; x52.up = 106.777870451;
x53.up = 32.6030581071532;
x54.lo = 74.1748123438468; x54.up = 106.777870451;
x55.up = 32.6030581071532;
x56.lo = 74.1748123438468; x56.up = 106.777870451;
x57.up = 32.6030581071532;
x58.lo = 74.1748123434975; x58.up = 106.777870452;
x59.up = 32.6030581085025;
x60.lo = 74.1748123434975; x60.up = 106.777870452;
x61.up = 32.6030581085025;
x62.lo = -5; x62.up = 5;
x63.up = 0.64163;
x64.lo = -5; x64.up = 5;
x65.up = 0.64163;
x66.lo = -5; x66.up = 5;
x67.lo = -5; x67.up = 5;
x68.lo = -5; x68.up = 5;
x69.lo = -5; x69.up = 5;
x70.lo = -5; x70.up = 5;
x71.lo = -5; x71.up = 5;
x72.lo = -5; x72.up = 5;
x73.lo = -5; x73.up = 5;
x74.lo = -5; x74.up = 5;
x75.lo = -5; x75.up = 5;
x76.lo = -5; x76.up = 5;
x77.lo = -5; x77.up = 5;
x78.up = 5;
x79.lo = -5; x79.up = 5;
x80.lo = -5; x80.up = 5;
x81.up = 5;
x82.lo = -5; x82.up = 5;
x83.lo = -5; x83.up = 5;
x84.lo = -5; x84.up = 5;
x85.lo = -5; x85.up = 5;
x86.lo = -5; x86.up = 5;
x87.lo = -5; x87.up = 5;
x88.lo = -5; x88.up = 5;
x89.lo = -5; x89.up = 5;
x90.lo = -5; x90.up = 5;
x91.up = 5;
x92.up = 5;
x93.lo = -5; x93.up = 5;
x94.lo = -5; x94.up = 5;
x95.lo = -5; x95.up = 5;
x96.up = 5;
x97.up = 5;
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.up = 5;
x104.lo = -5; x104.up = 5;
x105.up = 5;
x106.lo = -5; x106.up = 5;
x107.lo = -5; x107.up = 5;
x108.up = 0.429286;
x109.lo = -5; x109.up = 5;
x110.lo = -5; x110.up = 5;
x111.up = 0.429286;
x112.lo = -5; x112.up = 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.up = 5;
x120.lo = -5; x120.up = 5;
x121.lo = -5; x121.up = 5;
x122.up = 5;
x123.up = 5;
x124.fx = 6.3;
x125.lo = 5; x125.up = 10;
x126.lo = 5; x126.up = 10;
x127.lo = 5; x127.up = 10;
x128.fx = 4.6;
x129.up = 6;
x130.up = 6;
x131.up = 6;
x132.fx = 4.6;
x133.up = 6;
x134.up = 6;
x135.up = 6;
x136.fx = 10;
x137.up = 16.5;
x138.up = 16.5;
x139.up = 16.5;
x140.up = 0.045826;
x141.lo = 287.427397827187; x141.up = 413.764247971;
x142.up = 0.045826;
x143.up = 126.336850143813;
x144.up = 0.091663;
x145.lo = 287.427397827187; x145.up = 413.764247971;
x146.up = 0.091663;
x147.up = 126.336850143813;
x148.up = 0.091663;
x149.lo = 0.8; x149.up = 1.2;
x150.up = 0.091663;
x151.lo = 148.299332771269; x151.up = 638.10455381568;
x152.up = 0.091663;
x153.up = 135.302691146811;
x154.up = 0.091663;
x155.lo = 0.8; x155.up = 1.2;
x156.up = 0.091663;
x157.lo = 148.299332771269; x157.up = 638.10455381568;
x158.up = 0.091663;
x159.up = 135.302691146811;
x160.up = 0.091663;
x161.lo = 0.8; x161.up = 1.2;
x162.up = 0.091663;
x163.lo = 148.299332771269; x163.up = 638.10455381568;
x164.up = 0.091663;
x165.up = 135.302691146811;
x166.up = 0.091663;
x167.lo = 0.8; x167.up = 1.2;
x168.up = 0.045826;
x169.lo = 148.299332771269; x169.up = 638.10455381568;
x170.up = 0.045826;
x171.up = 135.302691146811;
x172.up = 0.119163;
x173.lo = 0.8; x173.up = 1.2;
x174.up = 0.119163;
x175.lo = 148.299332771269; x175.up = 638.10455381568;
x176.up = 0.119163;
x177.up = 135.302691146811;
x178.up = 0.119163;
x179.lo = 0.8; x179.up = 1.2;
x180.up = 0.119163;
x181.lo = 148.299332771269; x181.up = 638.10455381568;
x182.up = 0.119163;
x183.up = 135.302691146811;
x184.up = 0.071797;
x185.lo = 0.8; x185.up = 1.2;
x186.up = 0.071797;
x187.lo = 148.299332771269; x187.up = 638.10455381568;
x188.lo = 305; x188.up = 310;
x189.lo = 305; x189.up = 310;
x190.lo = 240; x190.up = 246;
x191.lo = 240; x191.up = 246;
x192.lo = 240; x192.up = 246;
x193.lo = 240; x193.up = 246;
x194.lo = 243; x194.up = 259.5;
x195.lo = 243; x195.up = 259.5;
x196.up = 1000;
x197.up = 1000;
x198.lo = -232.35111544525; x198.up = 232.35111544525;
x199.up = 1000;
x200.up = 1000;
x201.lo = -232.35111544525; x201.up = 232.35111544525;
x202.up = 1000;
x203.lo = -103800.7251715; x203.up = 103800.7251715;
x204.up = 1000;
x205.lo = -103800.7251715; x205.up = 103800.7251715;
x206.up = 1000;
x207.lo = -22646.161845275; x207.up = 22646.161845275;
x208.up = 1000;
x209.lo = -22646.161845275; x209.up = 22646.161845275;
x210.up = 1000;
x211.up = 1000;
x212.lo = -1693.1005454625; x212.up = 1693.1005454625;
x213.up = 1000;
x214.up = 1000;
x215.lo = -1693.1005454625; x215.up = 1693.1005454625;
x216.up = 1000;
x217.up = 1000;
x218.lo = -1975.896081255; x218.up = 1975.896081255;
x219.up = 1000;
x220.up = 1000;
x221.lo = -1975.896081255; x221.up = 1975.896081255;
x222.lo = -35055.017651; x222.up = 35055.017651;
x223.lo = -35055.017651; x223.up = 35055.017651;
x224.lo = -987.9480406275; x224.up = 987.9480406275;
x225.lo = -987.9480406275; x225.up = 987.9480406275;
x226.lo = -1270.74357642; x226.up = 1270.74357642;
x227.lo = -1270.74357642; x227.up = 1270.74357642;
x228.lo = -186.06385100525; x228.up = 186.06385100525;
x229.lo = -186.06385100525; x229.up = 186.06385100525;
x230.lo = -186.06385100525; x230.up = 186.06385100525;
x231.lo = -186.06385100525; x231.up = 186.06385100525;
x232.lo = 214.9; x232.up = 1000;
x233.lo = -9303.19255025; x233.up = 9303.19255025;
x234.lo = 214.9; x234.up = 1000;
x235.lo = -9303.19255025; x235.up = 9303.19255025;
x236.lo = 231.04; x236.up = 1000;
x237.lo = -14219.27742075; x237.up = 14219.27742075;
x238.lo = 231.04; x238.up = 1000;
x239.lo = -14219.27742075; x239.up = 14219.27742075;
x240.up = 1000;
x241.up = 1000;
x242.lo = -1596.630932455; x242.up = 1596.630932455;
x243.up = 1000;
x244.up = 1000;
x245.lo = -1596.630932455; x245.up = 1596.630932455;
x246.up = 1000;
x247.lo = 300; x247.up = 1000;
x248.lo = -62.00958485375; x248.up = 62.00958485375;
x249.up = 1000;
x250.lo = 300; x250.up = 1000;
x251.lo = -62.00958485375; x251.up = 62.00958485375;
x252.lo = -62.00958485375; x252.up = 62.00958485375;
x253.lo = -62.00958485375; x253.up = 62.00958485375;
x254.up = 1000;
x255.lo = -3.100479242675; x255.up = 3.100479242675;
x256.up = 1000;
x257.lo = -3.100479242675; x257.up = 3.100479242675;
x258.lo = -3.100479242675; x258.up = 3.100479242675;
x259.lo = -3.100479242675; x259.up = 3.100479242675;
x260.up = 1000;
x261.lo = 243; x261.up = 1000;
x262.lo = -138489.1922805; x262.up = 138489.1922805;
x263.up = 1000;
x264.lo = 243; x264.up = 1000;
x265.lo = -138489.1922805; x265.up = 138489.1922805;
x266.up = 1000;
x267.lo = -138489.1922805; x267.up = 138489.1922805;
x268.up = 1000;
x269.lo = -138489.1922805; x269.up = 138489.1922805;
x270.lo = -1846.52256374; x270.up = 1846.52256374;
x271.lo = -1846.52256374; x271.up = 1846.52256374;
x272.up = 1000;
x273.lo = -538.866468715; x273.up = 538.866468715;
x274.up = 1000;
x275.lo = -538.866468715; x275.up = 538.866468715;
x276.up = 1000;
x277.lo = -259.21503776; x277.up = 259.21503776;
x278.up = 1000;
x279.lo = -259.21503776; x279.up = 259.21503776;
x280.fx = 34.1;
x281.lo = -34.1; x281.up = 1000;
x282.fx = 34.1;
x283.lo = -34.1; x283.up = 1000;
x284.lo = -1000; x284.up = 1000;
x285.lo = -1000; x285.up = 1000;
x286.up = 1;
x287.up = 1;
x288.up = 1;
x289.up = 1;
x290.up = 1;
x291.up = 1;
x292.up = 1;
x293.up = 1;
x294.up = 1;
x295.up = 1;
x296.up = 1;
x297.up = 1;
x298.up = 135.302691146811;
x299.lo = 0.8; x299.up = 1.2;
x300.lo = 148.299332771269; x300.up = 638.10455381568;
x301.up = 135.302691146811;
x302.lo = 0.8; x302.up = 1.2;
x303.lo = 148.299332771269; x303.up = 638.10455381568;
x304.up = 46.5022459484905;
x305.up = 46.5022459484905;
x306.up = 143.448141849487;
x307.up = 143.448141849487;
x308.up = 143.448141849487;
x309.up = 143.448141849487;
x310.up = 143.448141849487;
x311.up = 143.448141849487;
x312.up = 143.448141849487;
x313.up = 143.448141849487;
x314.up = 143.448141849487;
x315.up = 143.448141849487;
x316.up = 143.448141849487;
x317.up = 143.448141849487;
x318.up = 46.5022459484905;
x319.up = 46.5022459484905;
x320.up = 31.205539800995;
x321.up = 31.205539800995;
x322.up = 31.205539800995;
x323.up = 31.205539800995;
x324.up = 31.205539800995;
x325.up = 31.205539800995;
x326.up = 18.8016762007756;
x327.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