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Instance watertreatnd_conc
Concentration Based Approach
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 348336.76140000 (ANTIGONE) 348336.76140000 (BARON) 348336.76140000 (COUENNE) 348336.76140000 (LINDO) 348336.75910000 (SCIP) 0.00000000 (SHOT) |
| Referencesⓘ | Ruiz, Juan and Grossmann, I E, Water Treatment Network Design, 2009. |
| Sourceⓘ | concbased.gms from minlp.org model 24 |
| Applicationⓘ | Water Network Design |
| Added to libraryⓘ | 25 Sep 2013 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 360 |
| #Binary Variablesⓘ | 5 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 325 |
| #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ⓘ | 319 |
| #Linear Constraintsⓘ | 290 |
| #Quadratic Constraintsⓘ | 24 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 5 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 1080 |
| #Nonlinear Nonzeros in Jacobianⓘ | 525 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 525 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 5 |
| #Blocks in Hessian of Lagrangianⓘ | 65 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 5 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 5 |
| Average blocksize in Hessian of Lagrangianⓘ | 5.0 |
| #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ⓘ | 20 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 320 306 5 9 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 361 356 5 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1086 561 525 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,b357,b358,b359,b360,b361;
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;
Binary Variables b357,b358,b359,b360,b361;
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;
e1.. objvar - x2 - x3 - x4 - x5 - x6 =E= 0;
e2.. - x247 - x248 - x249 - x250 - x251 - x252 =E= -10;
e3.. - x253 - x254 - x255 - x256 - x257 - x258 =E= -15;
e4.. - x259 - x260 - x261 - x262 - x263 - x264 =E= -5;
e5.. - x265 - x266 - x267 - x268 - x269 - x270 =E= -20;
e6.. - x271 - x272 - x273 - x274 - x275 - x276 =E= -10;
e7.. - x7 =E= -1;
e8.. - x8 =E= -1;
e9.. - x9 =E= -1;
e10.. - x10 =E= -1;
e11.. - x11 =E= -1;
e12.. - x12 =E= -1;
e13.. - x13 =E= -1;
e14.. - x14 =E= -1;
e15.. - x15 =E= -1;
e16.. - x16 =E= -1;
e17.. - x17 =E= -1;
e18.. - x18 =E= -1;
e19.. - x19 =E= -1;
e20.. - x20 =E= -1;
e21.. - x21 =E= -1;
e22.. - x22 =E= -1;
e23.. - x23 =E= -1;
e24.. - x24 =E= -1;
e25.. - x25 =E= -1;
e26.. - x26 =E= -1;
e27.. - x27 =E= -1;
e28.. - x28 =E= -1;
e29.. - x29 =E= -1;
e30.. - x30 =E= -1;
e31.. - x31 =E= -1.33333;
e32.. - x32 =E= -1.33333;
e33.. - x33 =E= -1.33333;
e34.. - x34 =E= -1.33333;
e35.. - x35 =E= -1.33333;
e36.. - x36 =E= -1.33333;
e37.. - x37 =E= 0;
e38.. - x38 =E= 0;
e39.. - x39 =E= 0;
e40.. - x40 =E= 0;
e41.. - x41 =E= 0;
e42.. - x42 =E= 0;
e43.. - x43 =E= 0;
e44.. - x44 =E= 0;
e45.. - x45 =E= 0;
e46.. - x46 =E= 0;
e47.. - x47 =E= 0;
e48.. - x48 =E= 0;
e49.. - x49 =E= -0.66666;
e50.. - x50 =E= -0.66666;
e51.. - x51 =E= -0.66666;
e52.. - x52 =E= -0.66666;
e53.. - x53 =E= -0.66666;
e54.. - x54 =E= -0.66666;
e55.. - x55 =E= -2;
e56.. - x56 =E= -2;
e57.. - x57 =E= -2;
e58.. - x58 =E= -2;
e59.. - x59 =E= -2;
e60.. - x60 =E= -2;
e61.. - x61 =E= -2;
e62.. - x62 =E= -2;
e63.. - x63 =E= -2;
e64.. - x64 =E= -2;
e65.. - x65 =E= -2;
e66.. - x66 =E= -2;
e67.. - x67 =E= 0;
e68.. - x68 =E= 0;
e69.. - x69 =E= 0;
e70.. - x70 =E= 0;
e71.. - x71 =E= 0;
e72.. - x72 =E= 0;
e73.. - x73 =E= -4;
e74.. - x74 =E= -4;
e75.. - x75 =E= -4;
e76.. - x76 =E= -4;
e77.. - x77 =E= -4;
e78.. - x78 =E= -4;
e79.. - x79 =E= -1.5;
e80.. - x80 =E= -1.5;
e81.. - x81 =E= -1.5;
e82.. - x82 =E= -1.5;
e83.. - x83 =E= -1.5;
e84.. - x84 =E= -1.5;
e85.. - x85 =E= -0.5;
e86.. - x86 =E= -0.5;
e87.. - x87 =E= -0.5;
e88.. - x88 =E= -0.5;
e89.. - x89 =E= -0.5;
e90.. - x90 =E= -0.5;
e91.. - x91 =E= -0.5;
e92.. - x92 =E= -0.5;
e93.. - x93 =E= -0.5;
e94.. - x94 =E= -0.5;
e95.. - x95 =E= -0.5;
e96.. - x96 =E= -0.5;
e97.. - x97 =E= 0;
e98.. - x98 =E= 0;
e99.. - x99 =E= 0;
e100.. - x100 =E= 0;
e101.. - x101 =E= 0;
e102.. - x102 =E= 0;
e103.. - x103 =E= -2;
e104.. - x104 =E= -2;
e105.. - x105 =E= -2;
e106.. - x106 =E= -2;
e107.. - x107 =E= -2;
e108.. - x108 =E= -2;
e109.. - x109 =E= -2;
e110.. - x110 =E= -2;
e111.. - x111 =E= -2;
e112.. - x112 =E= -2;
e113.. - x113 =E= -2;
e114.. - x114 =E= -2;
e115.. - x115 =E= 0;
e116.. - x116 =E= 0;
e117.. - x117 =E= 0;
e118.. - x118 =E= 0;
e119.. - x119 =E= 0;
e120.. - x120 =E= 0;
e121.. - x121 =E= 0;
e122.. - x122 =E= 0;
e123.. - x123 =E= 0;
e124.. - x124 =E= 0;
e125.. - x125 =E= 0;
e126.. - x126 =E= 0;
e127.. - x277 - x278 - x279 - x280 - x281 - x282 + x307 =E= 0;
e128.. - x283 - x284 - x285 - x286 - x287 - x288 + x308 =E= 0;
e129.. - x289 - x290 - x291 - x292 - x293 - x294 + x309 =E= 0;
e130.. - x295 - x296 - x297 - x298 - x299 - x300 + x310 =E= 0;
e131.. - x301 - x302 - x303 - x304 - x305 - x306 + x311 =E= 0;
e132.. - x127 + x312 =E= 0;
e133.. - x128 + x312 =E= 0;
e134.. - x129 + x312 =E= 0;
e135.. - x130 + x312 =E= 0;
e136.. - x131 + x312 =E= 0;
e137.. - x132 + x312 =E= 0;
e138.. - x133 + x313 =E= 0;
e139.. - x134 + x313 =E= 0;
e140.. - x135 + x313 =E= 0;
e141.. - x136 + x313 =E= 0;
e142.. - x137 + x313 =E= 0;
e143.. - x138 + x313 =E= 0;
e144.. - x139 + x314 =E= 0;
e145.. - x140 + x314 =E= 0;
e146.. - x141 + x314 =E= 0;
e147.. - x142 + x314 =E= 0;
e148.. - x143 + x314 =E= 0;
e149.. - x144 + x314 =E= 0;
e150.. - x145 + x315 =E= 0;
e151.. - x146 + x315 =E= 0;
e152.. - x147 + x315 =E= 0;
e153.. - x148 + x315 =E= 0;
e154.. - x149 + x315 =E= 0;
e155.. - x150 + x315 =E= 0;
e156.. - x151 + x316 =E= 0;
e157.. - x152 + x316 =E= 0;
e158.. - x153 + x316 =E= 0;
e159.. - x154 + x316 =E= 0;
e160.. - x155 + x316 =E= 0;
e161.. - x156 + x316 =E= 0;
e162.. - x157 + x317 =E= 0;
e163.. - x158 + x317 =E= 0;
e164.. - x159 + x317 =E= 0;
e165.. - x160 + x317 =E= 0;
e166.. - x161 + x317 =E= 0;
e167.. - x162 + x317 =E= 0;
e168.. - x163 + x318 =E= 0;
e169.. - x164 + x318 =E= 0;
e170.. - x165 + x318 =E= 0;
e171.. - x166 + x318 =E= 0;
e172.. - x167 + x318 =E= 0;
e173.. - x168 + x318 =E= 0;
e174.. - x169 + x319 =E= 0;
e175.. - x170 + x319 =E= 0;
e176.. - x171 + x319 =E= 0;
e177.. - x172 + x319 =E= 0;
e178.. - x173 + x319 =E= 0;
e179.. - x174 + x319 =E= 0;
e180.. - x175 + x320 =E= 0;
e181.. - x176 + x320 =E= 0;
e182.. - x177 + x320 =E= 0;
e183.. - x178 + x320 =E= 0;
e184.. - x179 + x320 =E= 0;
e185.. - x180 + x320 =E= 0;
e186.. - x181 + x321 =E= 0;
e187.. - x182 + x321 =E= 0;
e188.. - x183 + x321 =E= 0;
e189.. - x184 + x321 =E= 0;
e190.. - x185 + x321 =E= 0;
e191.. - x186 + x321 =E= 0;
e192.. - x187 + x322 =E= 0;
e193.. - x188 + x322 =E= 0;
e194.. - x189 + x322 =E= 0;
e195.. - x190 + x322 =E= 0;
e196.. - x191 + x322 =E= 0;
e197.. - x192 + x322 =E= 0;
e198.. - x193 + x323 =E= 0;
e199.. - x194 + x323 =E= 0;
e200.. - x195 + x323 =E= 0;
e201.. - x196 + x323 =E= 0;
e202.. - x197 + x323 =E= 0;
e203.. - x198 + x323 =E= 0;
e204.. - x199 + x324 =E= 0;
e205.. - x200 + x324 =E= 0;
e206.. - x201 + x324 =E= 0;
e207.. - x202 + x324 =E= 0;
e208.. - x203 + x324 =E= 0;
e209.. - x204 + x324 =E= 0;
e210.. - x205 + x325 =E= 0;
e211.. - x206 + x325 =E= 0;
e212.. - x207 + x325 =E= 0;
e213.. - x208 + x325 =E= 0;
e214.. - x209 + x325 =E= 0;
e215.. - x210 + x325 =E= 0;
e216.. - x211 + x326 =E= 0;
e217.. - x212 + x326 =E= 0;
e218.. - x213 + x326 =E= 0;
e219.. - x214 + x326 =E= 0;
e220.. - x215 + x326 =E= 0;
e221.. - x216 + x326 =E= 0;
e222.. - x217 + x327 =E= 0;
e223.. - x218 + x327 =E= 0;
e224.. - x219 + x327 =E= 0;
e225.. - x220 + x327 =E= 0;
e226.. - x221 + x327 =E= 0;
e227.. - x222 + x327 =E= 0;
e228.. - x223 + x328 =E= 0;
e229.. - x224 + x328 =E= 0;
e230.. - x225 + x328 =E= 0;
e231.. - x226 + x328 =E= 0;
e232.. - x227 + x328 =E= 0;
e233.. - x228 + x328 =E= 0;
e234.. - x229 + x329 =E= 0;
e235.. - x230 + x329 =E= 0;
e236.. - x231 + x329 =E= 0;
e237.. - x232 + x329 =E= 0;
e238.. - x233 + x329 =E= 0;
e239.. - x234 + x329 =E= 0;
e240.. - x235 + x330 =E= 0;
e241.. - x236 + x330 =E= 0;
e242.. - x237 + x330 =E= 0;
e243.. - x238 + x330 =E= 0;
e244.. - x239 + x330 =E= 0;
e245.. - x240 + x330 =E= 0;
e246.. - x241 + x331 =E= 0;
e247.. - x242 + x331 =E= 0;
e248.. - x243 + x331 =E= 0;
e249.. - x244 + x331 =E= 0;
e250.. - x245 + x331 =E= 0;
e251.. - x246 + x331 =E= 0;
e252.. x247*x7 + x253*x31 + x259*x55 + x265*x79 + x271*x103 + x277*x127 + x283*
x151 + x289*x175 + x295*x199 + x301*x223 - x332*x337 =E= 0;
e253.. x248*x8 + x254*x32 + x260*x56 + x266*x80 + x272*x104 + x278*x128 + x284*
x152 + x290*x176 + x296*x200 + x302*x224 - x333*x341 =E= 0;
e254.. x249*x9 + x255*x33 + x261*x57 + x267*x81 + x273*x105 + x279*x129 + x285*
x153 + x291*x177 + x297*x201 + x303*x225 - x334*x345 =E= 0;
e255.. x250*x10 + x256*x34 + x262*x58 + x268*x82 + x274*x106 + x280*x130 + x286
*x154 + x292*x178 + x298*x202 + x304*x226 - x335*x349 =E= 0;
e256.. x251*x11 + x257*x35 + x263*x59 + x269*x83 + x275*x107 + x281*x131 + x287
*x155 + x293*x179 + x299*x203 + x305*x227 - x336*x353 =E= 0;
e257.. x247*x13 + x253*x37 + x259*x61 + x265*x85 + x271*x109 + x277*x133 + x283
*x157 + x289*x181 + x295*x205 + x301*x229 - x332*x338 =E= 0;
e258.. x248*x14 + x254*x38 + x260*x62 + x266*x86 + x272*x110 + x278*x134 + x284
*x158 + x290*x182 + x296*x206 + x302*x230 - x333*x342 =E= 0;
e259.. x249*x15 + x255*x39 + x261*x63 + x267*x87 + x273*x111 + x279*x135 + x285
*x159 + x291*x183 + x297*x207 + x303*x231 - x334*x346 =E= 0;
e260.. x250*x16 + x256*x40 + x262*x64 + x268*x88 + x274*x112 + x280*x136 + x286
*x160 + x292*x184 + x298*x208 + x304*x232 - x335*x350 =E= 0;
e261.. x251*x17 + x257*x41 + x263*x65 + x269*x89 + x275*x113 + x281*x137 + x287
*x161 + x293*x185 + x299*x209 + x305*x233 - x336*x354 =E= 0;
e262.. x247*x19 + x253*x43 + x259*x67 + x265*x91 + x271*x115 + x277*x139 + x283
*x163 + x289*x187 + x295*x211 + x301*x235 - x332*x339 =E= 0;
e263.. x248*x20 + x254*x44 + x260*x68 + x266*x92 + x272*x116 + x278*x140 + x284
*x164 + x290*x188 + x296*x212 + x302*x236 - x333*x343 =E= 0;
e264.. x249*x21 + x255*x45 + x261*x69 + x267*x93 + x273*x117 + x279*x141 + x285
*x165 + x291*x189 + x297*x213 + x303*x237 - x334*x347 =E= 0;
e265.. x250*x22 + x256*x46 + x262*x70 + x268*x94 + x274*x118 + x280*x142 + x286
*x166 + x292*x190 + x298*x214 + x304*x238 - x335*x351 =E= 0;
e266.. x251*x23 + x257*x47 + x263*x71 + x269*x95 + x275*x119 + x281*x143 + x287
*x167 + x293*x191 + x299*x215 + x305*x239 - x336*x355 =E= 0;
e267.. x247*x25 + x253*x49 + x259*x73 + x265*x97 + x271*x121 + x277*x145 + x283
*x169 + x289*x193 + x295*x217 + x301*x241 - x332*x340 =E= 0;
e268.. x248*x26 + x254*x50 + x260*x74 + x266*x98 + x272*x122 + x278*x146 + x284
*x170 + x290*x194 + x296*x218 + x302*x242 - x333*x344 =E= 0;
e269.. x249*x27 + x255*x51 + x261*x75 + x267*x99 + x273*x123 + x279*x147 + x285
*x171 + x291*x195 + x297*x219 + x303*x243 - x334*x348 =E= 0;
e270.. x250*x28 + x256*x52 + x262*x76 + x268*x100 + x274*x124 + x280*x148 +
x286*x172 + x292*x196 + x298*x220 + x304*x244 - x335*x352 =E= 0;
e271.. x251*x29 + x257*x53 + x263*x77 + x269*x101 + x275*x125 + x281*x149 +
x287*x173 + x293*x197 + x299*x221 + x305*x245 - x336*x356 =E= 0;
e272.. x247 + x253 + x259 + x265 + x271 + x277 + x283 + x289 + x295 + x301
- x332 =E= 0;
e273.. x248 + x254 + x260 + x266 + x272 + x278 + x284 + x290 + x296 + x302
- x333 =E= 0;
e274.. x249 + x255 + x261 + x267 + x273 + x279 + x285 + x291 + x297 + x303
- x334 =E= 0;
e275.. x250 + x256 + x262 + x268 + x274 + x280 + x286 + x292 + x298 + x304
- x335 =E= 0;
e276.. x251 + x257 + x263 + x269 + x275 + x281 + x287 + x293 + x299 + x305
- x336 =E= 0;
e277.. x312 - 0.05*x337 =E= 0;
e278.. x316 - 0.2*x341 =E= 0;
e279.. x320 - x345 =E= 0;
e280.. x324 - x349 =E= 0;
e281.. x328 - x353 =E= 0;
e282.. x313 - 0.05*x338 =E= 0;
e283.. x317 - 0.2*x342 =E= 0;
e284.. x321 - 0.4*x346 =E= 0;
e285.. x325 - 0.4*x350 =E= 0;
e286.. x329 - 0.4*x354 =E= 0;
e287.. x314 - 0.4*x339 =E= 0;
e288.. x318 - 0.4*x343 =E= 0;
e289.. x322 - 0.05*x347 =E= 0;
e290.. x326 - 0.2*x351 =E= 0;
e291.. x330 - 0.15*x355 =E= 0;
e292.. x315 - x340 =E= 0;
e293.. x319 - x344 =E= 0;
e294.. x323 - 0.05*x348 =E= 0;
e295.. x327 - 0.15*x352 =E= 0;
e296.. x331 - 0.2*x356 =E= 0;
e297.. x307 - x332 =E= 0;
e298.. x308 - x333 =E= 0;
e299.. x309 - x334 =E= 0;
e300.. x310 - x335 =E= 0;
e301.. x311 - x336 =E= 0;
e302.. x252*x12 + x258*x36 + x264*x60 + x270*x84 + x276*x108 + x282*x132 + x288
*x156 + x294*x180 + x300*x204 + x306*x228 =L= 30;
e303.. x252*x18 + x258*x42 + x264*x66 + x270*x90 + x276*x114 + x282*x138 + x288
*x162 + x294*x186 + x300*x210 + x306*x234 =L= 30;
e304.. x252*x24 + x258*x48 + x264*x72 + x270*x96 + x276*x120 + x282*x144 + x288
*x168 + x294*x192 + x300*x216 + x306*x240 =L= 30;
e305.. x252*x30 + x258*x54 + x264*x78 + x270*x102 + x276*x126 + x282*x150 +
x288*x174 + x294*x198 + x300*x222 + x306*x246 =L= 30;
e306.. x332 - 5*b357 =G= 0;
e307.. x333 - 3*b358 =G= 0;
e308.. x334 - 4*b359 =G= 0;
e309.. x335 - 3*b360 =G= 0;
e310.. x336 - b361 =G= 0;
e311.. -(1500*x332**0.7 + 8000*x332) + x2 =E= 0;
e312.. -(1000*x333**0.7 + 8000*x333) + x3 =E= 0;
e313.. -(4000*x334**0.7 + 8000*x334) + x4 =E= 0;
e314.. -(3000*x335**0.7 + 8000*x335) + x5 =E= 0;
e315.. -(3000*x336**0.7 + 8000*x336) + x6 =E= 0;
e316.. x332 - 100*b357 =L= 0;
e317.. x333 - 100*b358 =L= 0;
e318.. x334 - 100*b359 =L= 0;
e319.. x335 - 100*b360 =L= 0;
e320.. x336 - 100*b361 =L= 0;
* set non-default bounds
x307.up = 100;
x308.up = 100;
x309.up = 100;
x310.up = 100;
x311.up = 100;
x312.up = 100;
x313.up = 100;
x314.up = 100;
x315.up = 100;
x316.up = 100;
x317.up = 100;
x318.up = 100;
x319.up = 100;
x320.up = 100;
x321.up = 100;
x322.up = 100;
x323.up = 100;
x324.up = 100;
x325.up = 100;
x326.up = 100;
x327.up = 100;
x328.up = 100;
x329.up = 100;
x330.up = 100;
x331.up = 100;
x332.up = 100;
x333.up = 100;
x334.up = 100;
x335.up = 100;
x336.up = 100;
x337.up = 4;
x338.up = 4;
x339.up = 4;
x340.up = 4;
x341.up = 4;
x342.up = 4;
x343.up = 4;
x344.up = 4;
x345.up = 4;
x346.up = 4;
x347.up = 4;
x348.up = 4;
x349.up = 4;
x350.up = 4;
x351.up = 4;
x352.up = 4;
x353.up = 4;
x354.up = 4;
x355.up = 4;
x356.up = 4;
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