MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance waterund36
Formatsⓘ | ams gms lp mod nl osil pip py |
Primal Bounds (infeas ≤ 1e-08)ⓘ | |
Other points (infeas > 1e-08)ⓘ | |
Dual Boundsⓘ | 599.79525380 (ANTIGONE) 588.85074690 (BARON) 607.04887890 (COUENNE) 629.69444380 (GUROBI) 607.77605070 (LINDO) 639.09711880 (SCIP) |
Referencesⓘ | Castro, Pedro M and Teles, João P, Comparison of global optimization algorithms for the design of water-using networks, Computers and Chemical Engineering, 52, 2013, 249-261. Teles, João P, Castro, Pedro M, and Novais, Augusto Q, LP-based solution strategies for the optimal design of industrial water networks with multiple contaminants, Chemical Engineering Science, 63:2, 2008, 376-394. Teles, João P, Castro, Pedro M, and Matos, Henrique A, Global optimization of water networks design using multiparametric disaggregation, Computers and Chemical Engineering 40, 2012, 132-147. |
Sourceⓘ | ANTIGONE test library model Other_MIQCQP/teles_etal_2009_WUN_Ex36.gms |
Applicationⓘ | Water Network Design |
Added to libraryⓘ | 15 Aug 2014 |
Problem typeⓘ | QCP |
#Variablesⓘ | 324 |
#Binary Variablesⓘ | 0 |
#Integer Variablesⓘ | 0 |
#Nonlinear Variablesⓘ | 216 |
#Nonlinear Binary Variablesⓘ | 0 |
#Nonlinear Integer Variablesⓘ | 0 |
Objective Senseⓘ | min |
Objective typeⓘ | linear |
Objective curvatureⓘ | linear |
#Nonzeros in Objectiveⓘ | 39 |
#Nonlinear Nonzeros in Objectiveⓘ | 0 |
#Constraintsⓘ | 239 |
#Linear Constraintsⓘ | 129 |
#Quadratic Constraintsⓘ | 110 |
#Polynomial Constraintsⓘ | 0 |
#Signomial Constraintsⓘ | 0 |
#General Nonlinear Constraintsⓘ | 0 |
Operands in Gen. Nonlin. Functionsⓘ | |
Constraints curvatureⓘ | indefinite |
#Nonzeros in Jacobianⓘ | 2348 |
#Nonlinear Nonzeros in Jacobianⓘ | 1395 |
#Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 1350 |
#Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 0 |
#Blocks in Hessian of Lagrangianⓘ | 9 |
Minimal blocksize in Hessian of Lagrangianⓘ | 24 |
Maximal blocksize in Hessian of Lagrangianⓘ | 24 |
Average blocksize in Hessian of Lagrangianⓘ | 24.0 |
#Semicontinuitiesⓘ | 0 |
#Nonlinear Semicontinuitiesⓘ | 0 |
#SOS type 1ⓘ | 0 |
#SOS type 2ⓘ | 0 |
Minimal coefficientⓘ | 1.0000e+00 |
Maximal coefficientⓘ | 1.0160e+03 |
Infeasibility of initial pointⓘ | 1.166e+05 |
Sparsity Jacobianⓘ | |
Sparsity Hessian of Lagrangianⓘ |
$offlisting * * Equation counts * Total E G L N X C B * 240 117 20 103 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 325 325 0 0 0 0 0 0 * FX 0 * * Nonzero counts * Total const NL DLL * 2388 993 1395 0 * * Solve m using NLP 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; 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; 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; e1.. 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 =E= 0; e2.. - x2 - x15 - x28 + x41 - x67 - x80 - x93 - x106 - x119 - x132 - x145 - x158 - x171 - x184 - x197 - x210 - x223 =E= 0; e3.. - x3 - x16 - x29 + x42 - x68 - x81 - x94 - x107 - x120 - x133 - x146 - x159 - x172 - x185 - x198 - x211 - x224 =E= 0; e4.. - x4 - x17 - x30 + x43 - x69 - x82 - x95 - x108 - x121 - x134 - x147 - x160 - x173 - x186 - x199 - x212 - x225 =E= 0; e5.. - x5 - x18 - x31 + x44 - x70 - x83 - x96 - x109 - x122 - x135 - x148 - x161 - x174 - x187 - x200 - x213 - x226 =E= 0; e6.. - x6 - x19 - x32 + x45 - x71 - x84 - x97 - x110 - x123 - x136 - x149 - x162 - x175 - x188 - x201 - x214 - x227 =E= 0; e7.. - x7 - x20 - x33 + x46 - x72 - x85 - x98 - x111 - x124 - x137 - x150 - x163 - x176 - x189 - x202 - x215 - x228 =E= 0; e8.. - x8 - x21 - x34 + x47 - x73 - x86 - x99 - x112 - x125 - x138 - x151 - x164 - x177 - x190 - x203 - x216 - x229 =E= 0; e9.. - x9 - x22 - x35 + x48 - x74 - x87 - x100 - x113 - x126 - x139 - x152 - x165 - x178 - x191 - x204 - x217 - x230 =E= 0; e10.. - x10 - x23 - x36 + x49 - x75 - x88 - x101 - x114 - x127 - x140 - x153 - x166 - x179 - x192 - x205 - x218 - x231 =E= 0; e11.. - x11 - x24 - x37 - x76 - x89 - x102 - x115 - x128 - x141 - x154 - x167 - x180 - x193 - x206 - x219 - x232 =E= -115; e12.. - x12 - x25 - x38 - x77 - x90 - x103 - x116 - x129 - x142 - x155 - x168 - x181 - x194 - x207 - x220 - x233 =E= -85; e13.. - x13 - x26 - x39 - x78 - x91 - x104 - x117 - x130 - x143 - x156 - x169 - x182 - x195 - x208 - x221 - x234 =E= -95; e14.. - x14 - x27 - x40 - x79 - x92 - x105 - x118 - x131 - x144 - x157 - x170 - x183 - x196 - x209 - x222 - x235 =E= -80; e15.. x41 - x54 - x67 - x68 - x69 - x70 - x71 - x72 - x73 - x74 - x75 - x76 - x77 - x78 - x79 =E= 0; e16.. x42 - x55 - x80 - x81 - x82 - x83 - x84 - x85 - x86 - x87 - x88 - x89 - x90 - x91 - x92 =E= 0; e17.. x43 - x56 - x93 - x94 - x95 - x96 - x97 - x98 - x99 - x100 - x101 - x102 - x103 - x104 - x105 =E= 0; e18.. x44 - x57 - x106 - x107 - x108 - x109 - x110 - x111 - x112 - x113 - x114 - x115 - x116 - x117 - x118 =E= 0; e19.. x45 - x58 - x119 - x120 - x121 - x122 - x123 - x124 - x125 - x126 - x127 - x128 - x129 - x130 - x131 =E= 0; e20.. x46 - x59 - x132 - x133 - x134 - x135 - x136 - x137 - x138 - x139 - x140 - x141 - x142 - x143 - x144 =E= 0; e21.. x47 - x60 - x145 - x146 - x147 - x148 - x149 - x150 - x151 - x152 - x153 - x154 - x155 - x156 - x157 =E= 0; e22.. x48 - x61 - x158 - x159 - x160 - x161 - x162 - x163 - x164 - x165 - x166 - x167 - x168 - x169 - x170 =E= 0; e23.. x49 - x62 - x171 - x172 - x173 - x174 - x175 - x176 - x177 - x178 - x179 - x180 - x181 - x182 - x183 =E= 0; e24.. - x63 - x184 - x185 - x186 - x187 - x188 - x189 - x190 - x191 - x192 - x193 - x194 - x195 - x196 =E= -75; e25.. - x64 - x197 - x198 - x199 - x200 - x201 - x202 - x203 - x204 - x205 - x206 - x207 - x208 - x209 =E= -95; e26.. - x65 - x210 - x211 - x212 - x213 - x214 - x215 - x216 - x217 - x218 - x219 - x220 - x221 - x222 =E= -100; e27.. - x66 - x223 - x224 - x225 - x226 - x227 - x228 - x229 - x230 - x231 - x232 - x233 - x234 - x235 =E= -70; e28.. x41*x236 - (x67*x281 + x80*x286 + x93*x291 + x106*x296 + x119*x301 + x132 *x306 + x145*x311 + x158*x316 + x171*x321) - 3*x2 - 8*x15 - 10*x28 - 893*x184 - 810*x197 - 757*x210 - 1016*x223 =E= 0; e29.. x41*x237 - (x67*x282 + x80*x287 + x93*x292 + x106*x297 + x119*x302 + x132 *x307 + x145*x312 + x158*x317 + x171*x322) - 3*x2 - 9*x15 - 849*x184 - 968*x197 - 545*x210 - 953*x223 =E= 0; e30.. x41*x238 - (x67*x283 + x80*x288 + x93*x293 + x106*x298 + x119*x303 + x132 *x308 + x145*x313 + x158*x318 + x171*x323) - 8*x2 - 10*x15 - 3*x28 - 947*x184 - 481*x197 - 785*x210 - 473*x223 =E= 0; e31.. x41*x239 - (x67*x284 + x80*x289 + x93*x294 + x106*x299 + x119*x304 + x132 *x309 + x145*x314 + x158*x319 + x171*x324) - 8*x2 - 2*x15 - 9*x28 - 613*x184 - 771*x197 - 689*x210 - 971*x223 =E= 0; e32.. x41*x240 - (x67*x285 + x80*x290 + x93*x295 + x106*x300 + x119*x305 + x132 *x310 + x145*x315 + x158*x320 + x171*x325) - 4*x2 - 4*x15 - 8*x28 - 440*x184 - 998*x197 - 986*x210 - 620*x223 =E= 0; e33.. x42*x241 - (x68*x281 + x81*x286 + x94*x291 + x107*x296 + x120*x301 + x133 *x306 + x146*x311 + x159*x316 + x172*x321) - 3*x3 - 8*x16 - 10*x29 - 893*x185 - 810*x198 - 757*x211 - 1016*x224 =E= 0; e34.. x42*x242 - (x68*x282 + x81*x287 + x94*x292 + x107*x297 + x120*x302 + x133 *x307 + x146*x312 + x159*x317 + x172*x322) - 3*x3 - 9*x16 - 849*x185 - 968*x198 - 545*x211 - 953*x224 =E= 0; e35.. x42*x243 - (x68*x283 + x81*x288 + x94*x293 + x107*x298 + x120*x303 + x133 *x308 + x146*x313 + x159*x318 + x172*x323) - 8*x3 - 10*x16 - 3*x29 - 947*x185 - 481*x198 - 785*x211 - 473*x224 =E= 0; e36.. x42*x244 - (x68*x284 + x81*x289 + x94*x294 + x107*x299 + x120*x304 + x133 *x309 + x146*x314 + x159*x319 + x172*x324) - 8*x3 - 2*x16 - 9*x29 - 613*x185 - 771*x198 - 689*x211 - 971*x224 =E= 0; e37.. x42*x245 - (x68*x285 + x81*x290 + x94*x295 + x107*x300 + x120*x305 + x133 *x310 + x146*x315 + x159*x320 + x172*x325) - 4*x3 - 4*x16 - 8*x29 - 440*x185 - 998*x198 - 986*x211 - 620*x224 =E= 0; e38.. x43*x246 - (x69*x281 + x82*x286 + x95*x291 + x108*x296 + x121*x301 + x134 *x306 + x147*x311 + x160*x316 + x173*x321) - 3*x4 - 8*x17 - 10*x30 - 893*x186 - 810*x199 - 757*x212 - 1016*x225 =E= 0; e39.. x43*x247 - (x69*x282 + x82*x287 + x95*x292 + x108*x297 + x121*x302 + x134 *x307 + x147*x312 + x160*x317 + x173*x322) - 3*x4 - 9*x17 - 849*x186 - 968*x199 - 545*x212 - 953*x225 =E= 0; e40.. x43*x248 - (x69*x283 + x82*x288 + x95*x293 + x108*x298 + x121*x303 + x134 *x308 + x147*x313 + x160*x318 + x173*x323) - 8*x4 - 10*x17 - 3*x30 - 947*x186 - 481*x199 - 785*x212 - 473*x225 =E= 0; e41.. x43*x249 - (x69*x284 + x82*x289 + x95*x294 + x108*x299 + x121*x304 + x134 *x309 + x147*x314 + x160*x319 + x173*x324) - 8*x4 - 2*x17 - 9*x30 - 613*x186 - 771*x199 - 689*x212 - 971*x225 =E= 0; e42.. x43*x250 - (x69*x285 + x82*x290 + x95*x295 + x108*x300 + x121*x305 + x134 *x310 + x147*x315 + x160*x320 + x173*x325) - 4*x4 - 4*x17 - 8*x30 - 440*x186 - 998*x199 - 986*x212 - 620*x225 =E= 0; e43.. x44*x251 - (x70*x281 + x83*x286 + x96*x291 + x109*x296 + x122*x301 + x135 *x306 + x148*x311 + x161*x316 + x174*x321) - 3*x5 - 8*x18 - 10*x31 - 893*x187 - 810*x200 - 757*x213 - 1016*x226 =E= 0; e44.. x44*x252 - (x70*x282 + x83*x287 + x96*x292 + x109*x297 + x122*x302 + x135 *x307 + x148*x312 + x161*x317 + x174*x322) - 3*x5 - 9*x18 - 849*x187 - 968*x200 - 545*x213 - 953*x226 =E= 0; e45.. x44*x253 - (x70*x283 + x83*x288 + x96*x293 + x109*x298 + x122*x303 + x135 *x308 + x148*x313 + x161*x318 + x174*x323) - 8*x5 - 10*x18 - 3*x31 - 947*x187 - 481*x200 - 785*x213 - 473*x226 =E= 0; e46.. x44*x254 - (x70*x284 + x83*x289 + x96*x294 + x109*x299 + x122*x304 + x135 *x309 + x148*x314 + x161*x319 + x174*x324) - 8*x5 - 2*x18 - 9*x31 - 613*x187 - 771*x200 - 689*x213 - 971*x226 =E= 0; e47.. x44*x255 - (x70*x285 + x83*x290 + x96*x295 + x109*x300 + x122*x305 + x135 *x310 + x148*x315 + x161*x320 + x174*x325) - 4*x5 - 4*x18 - 8*x31 - 440*x187 - 998*x200 - 986*x213 - 620*x226 =E= 0; e48.. x45*x256 - (x71*x281 + x84*x286 + x97*x291 + x110*x296 + x123*x301 + x136 *x306 + x149*x311 + x162*x316 + x175*x321) - 3*x6 - 8*x19 - 10*x32 - 893*x188 - 810*x201 - 757*x214 - 1016*x227 =E= 0; e49.. x45*x257 - (x71*x282 + x84*x287 + x97*x292 + x110*x297 + x123*x302 + x136 *x307 + x149*x312 + x162*x317 + x175*x322) - 3*x6 - 9*x19 - 849*x188 - 968*x201 - 545*x214 - 953*x227 =E= 0; e50.. x45*x258 - (x71*x283 + x84*x288 + x97*x293 + x110*x298 + x123*x303 + x136 *x308 + x149*x313 + x162*x318 + x175*x323) - 8*x6 - 10*x19 - 3*x32 - 947*x188 - 481*x201 - 785*x214 - 473*x227 =E= 0; e51.. x45*x259 - (x71*x284 + x84*x289 + x97*x294 + x110*x299 + x123*x304 + x136 *x309 + x149*x314 + x162*x319 + x175*x324) - 8*x6 - 2*x19 - 9*x32 - 613*x188 - 771*x201 - 689*x214 - 971*x227 =E= 0; e52.. x45*x260 - (x71*x285 + x84*x290 + x97*x295 + x110*x300 + x123*x305 + x136 *x310 + x149*x315 + x162*x320 + x175*x325) - 4*x6 - 4*x19 - 8*x32 - 440*x188 - 998*x201 - 986*x214 - 620*x227 =E= 0; e53.. x46*x261 - (x72*x281 + x85*x286 + x98*x291 + x111*x296 + x124*x301 + x137 *x306 + x150*x311 + x163*x316 + x176*x321) - 3*x7 - 8*x20 - 10*x33 - 893*x189 - 810*x202 - 757*x215 - 1016*x228 =E= 0; e54.. x46*x262 - (x72*x282 + x85*x287 + x98*x292 + x111*x297 + x124*x302 + x137 *x307 + x150*x312 + x163*x317 + x176*x322) - 3*x7 - 9*x20 - 849*x189 - 968*x202 - 545*x215 - 953*x228 =E= 0; e55.. x46*x263 - (x72*x283 + x85*x288 + x98*x293 + x111*x298 + x124*x303 + x137 *x308 + x150*x313 + x163*x318 + x176*x323) - 8*x7 - 10*x20 - 3*x33 - 947*x189 - 481*x202 - 785*x215 - 473*x228 =E= 0; e56.. x46*x264 - (x72*x284 + x85*x289 + x98*x294 + x111*x299 + x124*x304 + x137 *x309 + x150*x314 + x163*x319 + x176*x324) - 8*x7 - 2*x20 - 9*x33 - 613*x189 - 771*x202 - 689*x215 - 971*x228 =E= 0; e57.. x46*x265 - (x72*x285 + x85*x290 + x98*x295 + x111*x300 + x124*x305 + x137 *x310 + x150*x315 + x163*x320 + x176*x325) - 4*x7 - 4*x20 - 8*x33 - 440*x189 - 998*x202 - 986*x215 - 620*x228 =E= 0; e58.. x47*x266 - (x73*x281 + x86*x286 + x99*x291 + x112*x296 + x125*x301 + x138 *x306 + x151*x311 + x164*x316 + x177*x321) - 3*x8 - 8*x21 - 10*x34 - 893*x190 - 810*x203 - 757*x216 - 1016*x229 =E= 0; e59.. x47*x267 - (x73*x282 + x86*x287 + x99*x292 + x112*x297 + x125*x302 + x138 *x307 + x151*x312 + x164*x317 + x177*x322) - 3*x8 - 9*x21 - 849*x190 - 968*x203 - 545*x216 - 953*x229 =E= 0; e60.. x47*x268 - (x73*x283 + x86*x288 + x99*x293 + x112*x298 + x125*x303 + x138 *x308 + x151*x313 + x164*x318 + x177*x323) - 8*x8 - 10*x21 - 3*x34 - 947*x190 - 481*x203 - 785*x216 - 473*x229 =E= 0; e61.. x47*x269 - (x73*x284 + x86*x289 + x99*x294 + x112*x299 + x125*x304 + x138 *x309 + x151*x314 + x164*x319 + x177*x324) - 8*x8 - 2*x21 - 9*x34 - 613*x190 - 771*x203 - 689*x216 - 971*x229 =E= 0; e62.. x47*x270 - (x73*x285 + x86*x290 + x99*x295 + x112*x300 + x125*x305 + x138 *x310 + x151*x315 + x164*x320 + x177*x325) - 4*x8 - 4*x21 - 8*x34 - 440*x190 - 998*x203 - 986*x216 - 620*x229 =E= 0; e63.. x48*x271 - (x74*x281 + x87*x286 + x100*x291 + x113*x296 + x126*x301 + x139*x306 + x152*x311 + x165*x316 + x178*x321) - 3*x9 - 8*x22 - 10*x35 - 893*x191 - 810*x204 - 757*x217 - 1016*x230 =E= 0; e64.. x48*x272 - (x74*x282 + x87*x287 + x100*x292 + x113*x297 + x126*x302 + x139*x307 + x152*x312 + x165*x317 + x178*x322) - 3*x9 - 9*x22 - 849*x191 - 968*x204 - 545*x217 - 953*x230 =E= 0; e65.. x48*x273 - (x74*x283 + x87*x288 + x100*x293 + x113*x298 + x126*x303 + x139*x308 + x152*x313 + x165*x318 + x178*x323) - 8*x9 - 10*x22 - 3*x35 - 947*x191 - 481*x204 - 785*x217 - 473*x230 =E= 0; e66.. x48*x274 - (x74*x284 + x87*x289 + x100*x294 + x113*x299 + x126*x304 + x139*x309 + x152*x314 + x165*x319 + x178*x324) - 8*x9 - 2*x22 - 9*x35 - 613*x191 - 771*x204 - 689*x217 - 971*x230 =E= 0; e67.. x48*x275 - (x74*x285 + x87*x290 + x100*x295 + x113*x300 + x126*x305 + x139*x310 + x152*x315 + x165*x320 + x178*x325) - 4*x9 - 4*x22 - 8*x35 - 440*x191 - 998*x204 - 986*x217 - 620*x230 =E= 0; e68.. x49*x276 - (x75*x281 + x88*x286 + x101*x291 + x114*x296 + x127*x301 + x140*x306 + x153*x311 + x166*x316 + x179*x321) - 3*x10 - 8*x23 - 10*x36 - 893*x192 - 810*x205 - 757*x218 - 1016*x231 =E= 0; e69.. x49*x277 - (x75*x282 + x88*x287 + x101*x292 + x114*x297 + x127*x302 + x140*x307 + x153*x312 + x166*x317 + x179*x322) - 3*x10 - 9*x23 - 849*x192 - 968*x205 - 545*x218 - 953*x231 =E= 0; e70.. x49*x278 - (x75*x283 + x88*x288 + x101*x293 + x114*x298 + x127*x303 + x140*x308 + x153*x313 + x166*x318 + x179*x323) - 8*x10 - 10*x23 - 3*x36 - 947*x192 - 481*x205 - 785*x218 - 473*x231 =E= 0; e71.. x49*x279 - (x75*x284 + x88*x289 + x101*x294 + x114*x299 + x127*x304 + x140*x309 + x153*x314 + x166*x319 + x179*x324) - 8*x10 - 2*x23 - 9*x36 - 613*x192 - 771*x205 - 689*x218 - 971*x231 =E= 0; e72.. x49*x280 - (x75*x285 + x88*x290 + x101*x295 + x114*x300 + x127*x305 + x140*x310 + x153*x315 + x166*x320 + x179*x325) - 4*x10 - 4*x23 - 8*x36 - 440*x192 - 998*x205 - 986*x218 - 620*x231 =E= 0; e73.. -x41*(x281 - x236) =E= -105592; e74.. -x41*(x282 - x237) =E= -15276; e75.. -x41*(x283 - x238) =E= -24656; e76.. -x41*(x284 - x239) =E= -22646; e77.. -x41*(x285 - x240) =E= -7236; e78.. -x42*(x286 - x241) =E= -35520; e79.. -x42*(x287 - x242) =E= -26492; e80.. -x42*(x288 - x243) =E= -9324; e81.. -x42*(x289 - x244) =E= -39516; e82.. -x42*(x290 - x245) =E= -31302; e83.. -x43*(x291 - x246) =E= -13156; e84.. -x43*(x292 - x247) =E= -13468; e85.. -x43*(x293 - x248) =E= -5642; e86.. -x43*(x294 - x249) =E= -15184; e87.. -x43*(x295 - x250) =E= -12766; e88.. -x44*(x296 - x251) =E= -52712; e89.. -x44*(x297 - x252) =E= -33088; e90.. -x44*(x298 - x253) =E= -59048; e91.. -x44*(x299 - x254) =E= -86328; e92.. -x44*(x300 - x255) =E= -53944; e93.. -x45*(x301 - x256) =E= -108400; e94.. -x45*(x302 - x257) =E= -43200; e95.. -x45*(x303 - x258) =E= -56700; e96.. -x45*(x304 - x259) =E= -9900; e97.. -x45*(x305 - x260) =E= -25100; e98.. -x46*(x306 - x261) =E= -6050; e99.. -x46*(x307 - x262) =E= -31900; e100.. -x46*(x308 - x263) =E= -29700; e101.. -x46*(x309 - x264) =E= -24310; e102.. -x46*(x310 - x265) =E= -9680; e103.. -x47*(x311 - x266) =E= -6750; e104.. -x47*(x312 - x267) =E= -15500; e105.. -x47*(x313 - x268) =E= -15950; e106.. -x47*(x314 - x269) =E= -28400; e107.. -x47*(x315 - x270) =E= -5800; e108.. -x48*(x316 - x271) =E= -116550; e109.. -x48*(x317 - x272) =E= -70938; e110.. -x48*(x318 - x273) =E= -59346; e111.. -x48*(x319 - x274) =E= -15624; e112.. -x48*(x320 - x275) =E= -26082; e113.. -x49*(x321 - x276) =E= -30624; e114.. -x49*(x322 - x277) =E= -27492; e115.. -x49*(x323 - x278) =E= -10904; e116.. -x49*(x324 - x279) =E= -22852; e117.. -x49*(x325 - x280) =E= -6612; e118.. x236 =L= 279; e119.. x237 =L= 532; e120.. x238 =L= 86; e121.. x239 =L= 952; e122.. x240 =L= 178; e123.. x241 =L= 700; e124.. x242 =L= 827; e125.. x243 =L= 272; e126.. x244 =L= 589; e127.. x245 =L= 619; e128.. x246 =L= 400; e129.. x247 =L= 460; e130.. x248 =L= 710; e131.. x249 =L= 514; e132.. x250 =L= 590; e133.. x251 =L= 514; e134.. x252 =L= 540; e135.. x253 =L= 328; e136.. x254 =L= 9; e137.. x255 =L= 277; e138.. x256 =L= 85; e139.. x257 =L= 541; e140.. x258 =L= 227; e141.. x259 =L= 825; e142.. x260 =L= 111; e143.. x261 =L= 900; e144.. x262 =L= 323; e145.. x263 =L= 549; e146.. x264 =L= 213; e147.. x265 =L= 27; e148.. x266 =L= 805; e149.. x267 =L= 871; e150.. x268 =L= 101; e151.. x269 =L= 377; e152.. x270 =L= 512; e153.. x271 =L= 272; e154.. x272 =L= 46; e155.. x273 =L= 636; e156.. x274 =L= 933; e157.. x275 =L= 413; e158.. x276 =L= 233; e159.. x277 =L= 279; e160.. x278 =L= 760; e161.. x279 =L= 516; e162.. x280 =L= 178; e163.. x281 =L= 1067; e164.. x282 =L= 646; e165.. x283 =L= 270; e166.. x284 =L= 1121; e167.. x285 =L= 232; e168.. x286 =L= 1180; e169.. x287 =L= 1185; e170.. x288 =L= 398; e171.. x289 =L= 1123; e172.. x290 =L= 1042; e173.. x291 =L= 906; e174.. x292 =L= 978; e175.. x293 =L= 927; e176.. x294 =L= 1098; e177.. x295 =L= 1081; e178.. x296 =L= 1113; e179.. x297 =L= 916; e180.. x298 =L= 999; e181.. x299 =L= 990; e182.. x300 =L= 890; e183.. x301 =L= 1169; e184.. x302 =L= 973; e185.. x303 =L= 794; e186.. x304 =L= 924; e187.. x305 =L= 362; e188.. x306 =L= 1010; e189.. x307 =L= 903; e190.. x308 =L= 1089; e191.. x309 =L= 655; e192.. x310 =L= 203; e193.. x311 =L= 940; e194.. x312 =L= 1181; e195.. x313 =L= 420; e196.. x314 =L= 945; e197.. x315 =L= 628; e198.. x316 =L= 1197; e199.. x317 =L= 609; e200.. x318 =L= 1107; e201.. x319 =L= 1057; e202.. x320 =L= 620; e203.. x321 =L= 761; e204.. x322 =L= 753; e205.. x323 =L= 948; e206.. x324 =L= 910; e207.. x325 =L= 292; e208.. -(x76*x281 + x89*x286 + x102*x291 + x115*x296 + x128*x301 + x141*x306 + x154*x311 + x167*x316 + x180*x321) - 3*x11 - 8*x24 - 10*x37 - 893*x193 - 810*x206 - 757*x219 - 1016*x232 =G= -75555; e209.. -(x76*x282 + x89*x287 + x102*x292 + x115*x297 + x128*x302 + x141*x307 + x154*x312 + x167*x317 + x180*x322) - 3*x11 - 9*x24 - 849*x193 - 968*x206 - 545*x219 - 953*x232 =G= -52440; e210.. -(x76*x283 + x89*x288 + x102*x293 + x115*x298 + x128*x303 + x141*x308 + x154*x313 + x167*x318 + x180*x323) - 8*x11 - 10*x24 - 3*x37 - 947*x193 - 481*x206 - 785*x219 - 473*x232 =G= -31970; e211.. -(x76*x284 + x89*x289 + x102*x294 + x115*x299 + x128*x304 + x141*x309 + x154*x314 + x167*x319 + x180*x324) - 8*x11 - 2*x24 - 9*x37 - 613*x193 - 771*x206 - 689*x219 - 971*x232 =G= -60720; e212.. -(x76*x285 + x89*x290 + x102*x295 + x115*x300 + x128*x305 + x141*x310 + x154*x315 + x167*x320 + x180*x325) - 4*x11 - 4*x24 - 8*x37 - 440*x193 - 998*x206 - 986*x219 - 620*x232 =G= -27600; e213.. -(x77*x281 + x90*x286 + x103*x291 + x116*x296 + x129*x301 + x142*x306 + x155*x311 + x168*x316 + x181*x321) - 3*x12 - 8*x25 - 10*x38 - 893*x194 - 810*x207 - 757*x220 - 1016*x233 =G= -1275; e214.. -(x77*x282 + x90*x287 + x103*x292 + x116*x297 + x129*x302 + x142*x307 + x155*x312 + x168*x317 + x181*x322) - 3*x12 - 9*x25 - 849*x194 - 968*x207 - 545*x220 - 953*x233 =G= -46155; e215.. -(x77*x283 + x90*x288 + x103*x293 + x116*x298 + x129*x303 + x142*x308 + x155*x313 + x168*x318 + x181*x323) - 8*x12 - 10*x25 - 3*x38 - 947*x194 - 481*x207 - 785*x220 - 473*x233 =G= -23460; e216.. -(x77*x284 + x90*x289 + x103*x294 + x116*x299 + x129*x304 + x142*x309 + x155*x314 + x168*x319 + x181*x324) - 8*x12 - 2*x25 - 9*x38 - 613*x194 - 771*x207 - 689*x220 - 971*x233 =G= -36210; e217.. -(x77*x285 + x90*x290 + x103*x295 + x116*x300 + x129*x305 + x142*x310 + x155*x315 + x168*x320 + x181*x325) - 4*x12 - 4*x25 - 8*x38 - 440*x194 - 998*x207 - 986*x220 - 620*x233 =G= -36720; e218.. -(x78*x281 + x91*x286 + x104*x291 + x117*x296 + x130*x301 + x143*x306 + x156*x311 + x169*x316 + x182*x321) - 3*x13 - 8*x26 - 10*x39 - 893*x195 - 810*x208 - 757*x221 - 1016*x234 =G= -70490; e219.. -(x78*x282 + x91*x287 + x104*x292 + x117*x297 + x130*x302 + x143*x307 + x156*x312 + x169*x317 + x182*x322) - 3*x13 - 9*x26 - 849*x195 - 968*x208 - 545*x221 - 953*x234 =G= -8360; e220.. -(x78*x283 + x91*x288 + x104*x293 + x117*x298 + x130*x303 + x143*x308 + x156*x313 + x169*x318 + x182*x323) - 8*x13 - 10*x26 - 3*x39 - 947*x195 - 481*x208 - 785*x221 - 473*x234 =G= -18715; e221.. -(x78*x284 + x91*x289 + x104*x294 + x117*x299 + x130*x304 + x143*x309 + x156*x314 + x169*x319 + x182*x324) - 8*x13 - 2*x26 - 9*x39 - 613*x195 - 771*x208 - 689*x221 - 971*x234 =G= -32395; e222.. -(x78*x285 + x91*x290 + x104*x295 + x117*x300 + x130*x305 + x143*x310 + x156*x315 + x169*x320 + x182*x325) - 4*x13 - 4*x26 - 8*x39 - 440*x195 - 998*x208 - 986*x221 - 620*x234 =G= -57095; e223.. -(x79*x281 + x92*x286 + x105*x291 + x118*x296 + x131*x301 + x144*x306 + x157*x311 + x170*x316 + x183*x321) - 3*x14 - 8*x27 - 10*x40 - 893*x196 - 810*x209 - 757*x222 - 1016*x235 =G= -75040; e224.. -(x79*x282 + x92*x287 + x105*x292 + x118*x297 + x131*x302 + x144*x307 + x157*x312 + x170*x317 + x183*x322) - 3*x14 - 9*x27 - 849*x196 - 968*x209 - 545*x222 - 953*x235 =G= -75760; e225.. -(x79*x283 + x92*x288 + x105*x293 + x118*x298 + x131*x303 + x144*x308 + x157*x313 + x170*x318 + x183*x323) - 8*x14 - 10*x27 - 3*x40 - 947*x196 - 481*x209 - 785*x222 - 473*x235 =G= -19920; e226.. -(x79*x284 + x92*x289 + x105*x294 + x118*x299 + x131*x304 + x144*x309 + x157*x314 + x170*x319 + x183*x324) - 8*x14 - 2*x27 - 9*x40 - 613*x196 - 771*x209 - 689*x222 - 971*x235 =G= -76320; e227.. -(x79*x285 + x92*x290 + x105*x295 + x118*x300 + x131*x305 + x144*x310 + x157*x315 + x170*x320 + x183*x325) - 4*x14 - 4*x27 - 8*x40 - 440*x196 - 998*x209 - 986*x222 - 620*x235 =G= -40720; e228.. x41 =L= 134; e229.. x42 =L= 74; e230.. x43 =L= 26; e231.. x44 =L= 88; e232.. x45 =L= 100; e233.. x46 =L= 55; e234.. x47 =L= 50; e235.. x48 =L= 126; e236.. x49 =L= 58; e237.. x50 =L= 0; e238.. x51 =L= 0; e239.. x52 =L= 0; e240.. x53 =L= 0; * set non-default bounds x2.up = 100000; x3.up = 100000; x4.up = 100000; x5.up = 100000; x6.up = 100000; x7.up = 100000; x8.up = 100000; x9.up = 100000; x10.up = 100000; x11.up = 100000; x12.up = 100000; x13.up = 100000; x14.up = 100000; x15.up = 100000; x16.up = 100000; x17.up = 100000; x18.up = 100000; x19.up = 100000; x20.up = 100000; x21.up = 100000; x22.up = 100000; x23.up = 100000; x24.up = 100000; x25.up = 100000; x26.up = 100000; x27.up = 100000; x28.up = 100000; x29.up = 100000; x30.up = 100000; x31.up = 100000; x32.up = 100000; x33.up = 100000; x34.up = 100000; x35.up = 100000; x36.up = 100000; x37.up = 100000; x38.up = 100000; x39.up = 100000; x40.up = 100000; x41.up = 100000; x42.up = 100000; x43.up = 100000; x44.up = 100000; x45.up = 100000; x46.up = 100000; x47.up = 100000; x48.up = 100000; x49.up = 100000; x50.up = 100000; x51.up = 100000; x52.up = 100000; x53.up = 100000; x54.up = 100000; x55.up = 100000; x56.up = 100000; x57.up = 100000; x58.up = 100000; x59.up = 100000; x60.up = 100000; x61.up = 100000; x62.up = 100000; x63.up = 100000; x64.up = 100000; x65.up = 100000; x66.up = 100000; x67.up = 100000; x68.up = 100000; x69.up = 100000; x70.up = 100000; x71.up = 100000; x72.up = 100000; x73.up = 100000; x74.up = 100000; x75.up = 100000; x76.up = 100000; x77.up = 100000; x78.up = 100000; x79.up = 100000; x80.up = 100000; x81.up = 100000; x82.up = 100000; x83.up = 100000; x84.up = 100000; x85.up = 100000; x86.up = 100000; x87.up = 100000; x88.up = 100000; x89.up = 100000; x90.up = 100000; x91.up = 100000; x92.up = 100000; x93.up = 100000; x94.up = 100000; x95.up = 100000; x96.up = 100000; x97.up = 100000; x98.up = 100000; x99.up = 100000; x100.up = 100000; x101.up = 100000; x102.up = 100000; x103.up = 100000; x104.up = 100000; x105.up = 100000; x106.up = 100000; x107.up = 100000; x108.up = 100000; x109.up = 100000; x110.up = 100000; x111.up = 100000; x112.up = 100000; x113.up = 100000; x114.up = 100000; x115.up = 100000; x116.up = 100000; x117.up = 100000; x118.up = 100000; x119.up = 100000; x120.up = 100000; x121.up = 100000; x122.up = 100000; x123.up = 100000; x124.up = 100000; x125.up = 100000; x126.up = 100000; x127.up = 100000; x128.up = 100000; x129.up = 100000; x130.up = 100000; x131.up = 100000; x132.up = 100000; x133.up = 100000; x134.up = 100000; x135.up = 100000; x136.up = 100000; x137.up = 100000; x138.up = 100000; x139.up = 100000; x140.up = 100000; x141.up = 100000; x142.up = 100000; x143.up = 100000; x144.up = 100000; x145.up = 100000; x146.up = 100000; x147.up = 100000; x148.up = 100000; x149.up = 100000; x150.up = 100000; x151.up = 100000; x152.up = 100000; x153.up = 100000; x154.up = 100000; x155.up = 100000; x156.up = 100000; x157.up = 100000; x158.up = 100000; x159.up = 100000; x160.up = 100000; x161.up = 100000; x162.up = 100000; x163.up = 100000; x164.up = 100000; x165.up = 100000; x166.up = 100000; x167.up = 100000; x168.up = 100000; x169.up = 100000; x170.up = 100000; x171.up = 100000; x172.up = 100000; x173.up = 100000; x174.up = 100000; x175.up = 100000; x176.up = 100000; x177.up = 100000; x178.up = 100000; x179.up = 100000; x180.up = 100000; x181.up = 100000; x182.up = 100000; x183.up = 100000; x184.up = 100000; x185.up = 100000; x186.up = 100000; x187.up = 100000; x188.up = 100000; x189.up = 100000; x190.up = 100000; x191.up = 100000; x192.up = 100000; x193.up = 100000; x194.up = 100000; x195.up = 100000; x196.up = 100000; x197.up = 100000; x198.up = 100000; x199.up = 100000; x200.up = 100000; x201.up = 100000; x202.up = 100000; x203.up = 100000; x204.up = 100000; x205.up = 100000; x206.up = 100000; x207.up = 100000; x208.up = 100000; x209.up = 100000; x210.up = 100000; x211.up = 100000; x212.up = 100000; x213.up = 100000; x214.up = 100000; x215.up = 100000; x216.up = 100000; x217.up = 100000; x218.up = 100000; x219.up = 100000; x220.up = 100000; x221.up = 100000; x222.up = 100000; x223.up = 100000; x224.up = 100000; x225.up = 100000; x226.up = 100000; x227.up = 100000; x228.up = 100000; x229.up = 100000; x230.up = 100000; x231.up = 100000; x232.up = 100000; x233.up = 100000; x234.up = 100000; x235.up = 100000; x236.up = 100000; x237.up = 100000; x238.up = 100000; x239.up = 100000; x240.up = 100000; x241.up = 100000; x242.up = 100000; x243.up = 100000; x244.up = 100000; x245.up = 100000; x246.up = 100000; x247.up = 100000; x248.up = 100000; x249.up = 100000; x250.up = 100000; x251.up = 100000; x252.up = 100000; x253.up = 100000; x254.up = 100000; x255.up = 100000; x256.up = 100000; x257.up = 100000; x258.up = 100000; x259.up = 100000; x260.up = 100000; x261.up = 100000; x262.up = 100000; x263.up = 100000; x264.up = 100000; x265.up = 100000; x266.up = 100000; x267.up = 100000; x268.up = 100000; x269.up = 100000; x270.up = 100000; x271.up = 100000; x272.up = 100000; x273.up = 100000; x274.up = 100000; x275.up = 100000; x276.up = 100000; x277.up = 100000; x278.up = 100000; x279.up = 100000; x280.up = 100000; x281.up = 100000; x282.up = 100000; x283.up = 100000; x284.up = 100000; x285.up = 100000; x286.up = 100000; x287.up = 100000; x288.up = 100000; x289.up = 100000; x290.up = 100000; x291.up = 100000; x292.up = 100000; x293.up = 100000; x294.up = 100000; x295.up = 100000; x296.up = 100000; x297.up = 100000; x298.up = 100000; x299.up = 100000; x300.up = 100000; x301.up = 100000; x302.up = 100000; x303.up = 100000; x304.up = 100000; x305.up = 100000; x306.up = 100000; x307.up = 100000; x308.up = 100000; x309.up = 100000; x310.up = 100000; x311.up = 100000; x312.up = 100000; x313.up = 100000; x314.up = 100000; x315.up = 100000; x316.up = 100000; x317.up = 100000; x318.up = 100000; x319.up = 100000; x320.up = 100000; x321.up = 100000; x322.up = 100000; x323.up = 100000; x324.up = 100000; x325.up = 100000; Model m / all /; m.limrow=0; m.limcol=0; m.tolproj=0.0; $if NOT '%gams.u1%' == '' $include '%gams.u1%' $if not set NLP $set NLP NLP Solve m using %NLP% minimizing objvar;
Last updated: 2024-08-26 Git hash: 6cc1607f