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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance wastewater11m2
| Formatsⓘ | ams gms lp mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 1492.57048100 (ANTIGONE) 1331.73077500 (BARON) 1300.25529600 (COUENNE) 2127.11538500 (GUROBI) 1474.14161700 (LINDO) 2126.90284200 (SCIP) |
| Referencesⓘ | Castro, Pedro M, Matos, Henrique A, and Novais, Augusto Q, An efficient heuristic procedure for the optimal design of wastewater treatment systems, Resources, Conservation and Recycling, 50:2, 2007, 158-185. Castro, Pedro M, Teles, João P, and Novais, Augusto Q, Linear program-based algorithm for the optimal design of wastewater treatment systems, Clean Technologies and Environmental Policy, 11:1, 2009, 83-93. |
| Sourceⓘ | ANTIGONE test library model Other_MIQCQP/castro_etal_2007_wts_Ex11_M2.gms |
| Applicationⓘ | Waste Water Treatment |
| Added to libraryⓘ | 15 Aug 2014 |
| Problem typeⓘ | QCP |
| #Variablesⓘ | 303 |
| #Binary Variablesⓘ | 0 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 70 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 7 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 251 |
| #Linear Constraintsⓘ | 139 |
| #Quadratic Constraintsⓘ | 112 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 1097 |
| #Nonlinear Nonzeros in Jacobianⓘ | 224 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 224 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 0 |
| #Blocks in Hessian of Lagrangianⓘ | 7 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 10 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 10 |
| Average blocksize in Hessian of Lagrangianⓘ | 10.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.0000e-01 |
| Maximal coefficientⓘ | 1.1500e+05 |
| Infeasibility of initial pointⓘ | 1.15e+05 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 252 244 0 8 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 304 304 0 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1105 881 224 0
*
* Solve m using NLP minimizing objvar;
Variables x1,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,objvar;
Positive Variables x1,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;
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;
e1.. - x98 - x99 - x100 - x101 - x102 - x103 - x104 + objvar =E= 0;
e2.. - x50 - x62 - x63 - x64 - x65 - x66 - x67 - x68 =E= -80;
e3.. - x51 - x69 - x70 - x71 - x72 - x73 - x74 - x75 =E= -450;
e4.. - x52 - x76 - x77 - x78 - x79 - x80 - x81 - x82 =E= -230;
e5.. - x53 - x83 - x84 - x85 - x86 - x87 - x88 - x89 =E= -90;
e6.. - x54 - x90 - x91 - x92 - x93 - x94 - x95 - x96 =E= -330;
e7.. - x1 - x8 - x15 - x22 - x29 - x36 - x43 - x62 - x69 - x76 - x83 - x90
+ x98 =E= 0;
e8.. - x2 - x9 - x16 - x23 - x30 - x37 - x44 - x63 - x70 - x77 - x84 - x91
+ x99 =E= 0;
e9.. - x3 - x10 - x17 - x24 - x31 - x38 - x45 - x64 - x71 - x78 - x85 - x92
+ x100 =E= 0;
e10.. - x4 - x11 - x18 - x25 - x32 - x39 - x46 - x65 - x72 - x79 - x86 - x93
+ x101 =E= 0;
e11.. - x5 - x12 - x19 - x26 - x33 - x40 - x47 - x66 - x73 - x80 - x87 - x94
+ x102 =E= 0;
e12.. - x6 - x13 - x20 - x27 - x34 - x41 - x48 - x67 - x74 - x81 - x88 - x95
+ x103 =E= 0;
e13.. - x7 - x14 - x21 - x28 - x35 - x42 - x49 - x68 - x75 - x82 - x89 - x96
+ x104 =E= 0;
e14.. - x1 - x2 - x3 - x4 - x5 - x6 - x7 - x55 + x98 =E= 0;
e15.. - x8 - x9 - x10 - x11 - x12 - x13 - x14 - x56 + x99 =E= 0;
e16.. - x15 - x16 - x17 - x18 - x19 - x20 - x21 - x57 + x100 =E= 0;
e17.. - x22 - x23 - x24 - x25 - x26 - x27 - x28 - x58 + x101 =E= 0;
e18.. - x29 - x30 - x31 - x32 - x33 - x34 - x35 - x59 + x102 =E= 0;
e19.. - x36 - x37 - x38 - x39 - x40 - x41 - x42 - x60 + x103 =E= 0;
e20.. - x43 - x44 - x45 - x46 - x47 - x48 - x49 - x61 + x104 =E= 0;
e21.. - x50 - x51 - x52 - x53 - x54 - x55 - x56 - x57 - x58 - x59 - x60 - x61
+ x97 =E= 0;
e22.. - x154 - x166 - x167 - x168 - x169 - x170 - x171 - x172 =E= -960;
e23.. - x155 - x173 - x174 - x175 - x176 - x177 - x178 - x179 =E= -22500;
e24.. - x156 - x180 - x181 - x182 - x183 - x184 - x185 - x186 =E= -115000;
e25.. - x157 - x187 - x188 - x189 - x190 - x191 - x192 - x193 =E= -36000;
e26.. - x158 - x194 - x195 - x196 - x197 - x198 - x199 - x200 =E= -39600;
e27.. - x166 + 960*x269 =E= 0;
e28.. - x167 + 960*x270 =E= 0;
e29.. - x168 + 960*x271 =E= 0;
e30.. - x169 + 960*x272 =E= 0;
e31.. - x170 + 960*x273 =E= 0;
e32.. - x171 + 960*x274 =E= 0;
e33.. - x172 + 960*x275 =E= 0;
e34.. - x173 + 22500*x276 =E= 0;
e35.. - x174 + 22500*x277 =E= 0;
e36.. - x175 + 22500*x278 =E= 0;
e37.. - x176 + 22500*x279 =E= 0;
e38.. - x177 + 22500*x280 =E= 0;
e39.. - x178 + 22500*x281 =E= 0;
e40.. - x179 + 22500*x282 =E= 0;
e41.. - x180 + 115000*x283 =E= 0;
e42.. - x181 + 115000*x284 =E= 0;
e43.. - x182 + 115000*x285 =E= 0;
e44.. - x183 + 115000*x286 =E= 0;
e45.. - x184 + 115000*x287 =E= 0;
e46.. - x185 + 115000*x288 =E= 0;
e47.. - x186 + 115000*x289 =E= 0;
e48.. - x187 + 36000*x290 =E= 0;
e49.. - x188 + 36000*x291 =E= 0;
e50.. - x189 + 36000*x292 =E= 0;
e51.. - x190 + 36000*x293 =E= 0;
e52.. - x191 + 36000*x294 =E= 0;
e53.. - x192 + 36000*x295 =E= 0;
e54.. - x193 + 36000*x296 =E= 0;
e55.. - x194 + 39600*x297 =E= 0;
e56.. - x195 + 39600*x298 =E= 0;
e57.. - x196 + 39600*x299 =E= 0;
e58.. - x197 + 39600*x300 =E= 0;
e59.. - x198 + 39600*x301 =E= 0;
e60.. - x199 + 39600*x302 =E= 0;
e61.. - x200 + 39600*x303 =E= 0;
e62.. - x154 + 960*x257 =E= 0;
e63.. - x155 + 22500*x258 =E= 0;
e64.. - x156 + 115000*x259 =E= 0;
e65.. - x157 + 36000*x260 =E= 0;
e66.. - x158 + 39600*x261 =E= 0;
e67.. - x62 + 80*x269 =E= 0;
e68.. - x63 + 80*x270 =E= 0;
e69.. - x64 + 80*x271 =E= 0;
e70.. - x65 + 80*x272 =E= 0;
e71.. - x66 + 80*x273 =E= 0;
e72.. - x67 + 80*x274 =E= 0;
e73.. - x68 + 80*x275 =E= 0;
e74.. - x69 + 450*x276 =E= 0;
e75.. - x70 + 450*x277 =E= 0;
e76.. - x71 + 450*x278 =E= 0;
e77.. - x72 + 450*x279 =E= 0;
e78.. - x73 + 450*x280 =E= 0;
e79.. - x74 + 450*x281 =E= 0;
e80.. - x75 + 450*x282 =E= 0;
e81.. - x76 + 230*x283 =E= 0;
e82.. - x77 + 230*x284 =E= 0;
e83.. - x78 + 230*x285 =E= 0;
e84.. - x79 + 230*x286 =E= 0;
e85.. - x80 + 230*x287 =E= 0;
e86.. - x81 + 230*x288 =E= 0;
e87.. - x82 + 230*x289 =E= 0;
e88.. - x83 + 90*x290 =E= 0;
e89.. - x84 + 90*x291 =E= 0;
e90.. - x85 + 90*x292 =E= 0;
e91.. - x86 + 90*x293 =E= 0;
e92.. - x87 + 90*x294 =E= 0;
e93.. - x88 + 90*x295 =E= 0;
e94.. - x89 + 90*x296 =E= 0;
e95.. - x90 + 330*x297 =E= 0;
e96.. - x91 + 330*x298 =E= 0;
e97.. - x92 + 330*x299 =E= 0;
e98.. - x93 + 330*x300 =E= 0;
e99.. - x94 + 330*x301 =E= 0;
e100.. - x95 + 330*x302 =E= 0;
e101.. - x96 + 330*x303 =E= 0;
e102.. - x50 + 80*x257 =E= 0;
e103.. - x51 + 450*x258 =E= 0;
e104.. - x52 + 230*x259 =E= 0;
e105.. - x53 + 90*x260 =E= 0;
e106.. - x54 + 330*x261 =E= 0;
e107.. x257 + x269 + x270 + x271 + x272 + x273 + x274 + x275 =E= 1;
e108.. x258 + x276 + x277 + x278 + x279 + x280 + x281 + x282 =E= 1;
e109.. x259 + x283 + x284 + x285 + x286 + x287 + x288 + x289 =E= 1;
e110.. x260 + x290 + x291 + x292 + x293 + x294 + x295 + x296 =E= 1;
e111.. x261 + x297 + x298 + x299 + x300 + x301 + x302 + x303 =E= 1;
e112.. - 400*x98 + x105 + x112 + x119 + x126 + x133 + x140 + x147 + x166
+ x173 + x180 + x187 + x194 =L= 0;
e113.. - 100*x99 + x106 + x113 + x120 + x127 + x134 + x141 + x148 + x167
+ x174 + x181 + x188 + x195 =L= 0;
e114.. - 50*x100 + x107 + x114 + x121 + x128 + x135 + x142 + x149 + x168
+ x175 + x182 + x189 + x196 =L= 0;
e115.. - 570*x101 + x108 + x115 + x122 + x129 + x136 + x143 + x150 + x169
+ x176 + x183 + x190 + x197 =L= 0;
e116.. - 100*x102 + x109 + x116 + x123 + x130 + x137 + x144 + x151 + x170
+ x177 + x184 + x191 + x198 =L= 0;
e117.. - 30*x103 + x110 + x117 + x124 + x131 + x138 + x145 + x152 + x171
+ x178 + x185 + x192 + x199 =L= 0;
e118.. - 640*x104 + x111 + x118 + x125 + x132 + x139 + x146 + x153 + x172
+ x179 + x186 + x193 + x200 =L= 0;
e119.. 0.9*x105 + 0.9*x112 + 0.9*x119 + 0.9*x126 + 0.9*x133 + 0.9*x140
+ 0.9*x147 + 0.9*x166 + 0.9*x173 + 0.9*x180 + 0.9*x187 + 0.9*x194
- x201 =E= 0;
e120.. 0.6*x106 + 0.6*x113 + 0.6*x120 + 0.6*x127 + 0.6*x134 + 0.6*x141
+ 0.6*x148 + 0.6*x167 + 0.6*x174 + 0.6*x181 + 0.6*x188 + 0.6*x195
- x202 =E= 0;
e121.. 0.15*x107 + 0.15*x114 + 0.15*x121 + 0.15*x128 + 0.15*x135 + 0.15*x142
+ 0.15*x149 + 0.15*x168 + 0.15*x175 + 0.15*x182 + 0.15*x189 + 0.15*x196
- x203 =E= 0;
e122.. 0.26*x108 + 0.26*x115 + 0.26*x122 + 0.26*x129 + 0.26*x136 + 0.26*x143
+ 0.26*x150 + 0.26*x169 + 0.26*x176 + 0.26*x183 + 0.26*x190 + 0.26*x197
- x204 =E= 0;
e123.. 0.1*x109 + 0.1*x116 + 0.1*x123 + 0.1*x130 + 0.1*x137 + 0.1*x144
+ 0.1*x151 + 0.1*x170 + 0.1*x177 + 0.1*x184 + 0.1*x191 + 0.1*x198
- x205 =E= 0;
e124.. 0.4*x110 + 0.4*x117 + 0.4*x124 + 0.4*x131 + 0.4*x138 + 0.4*x145
+ 0.4*x152 + 0.4*x171 + 0.4*x178 + 0.4*x185 + 0.4*x192 + 0.4*x199
- x206 =E= 0;
e125.. 0.3*x111 + 0.3*x118 + 0.3*x125 + 0.3*x132 + 0.3*x139 + 0.3*x146
+ 0.3*x153 + 0.3*x172 + 0.3*x179 + 0.3*x186 + 0.3*x193 + 0.3*x200
- x207 =E= 0;
e126.. - x105 - x106 - x107 - x108 - x109 - x110 - x111 - x159 + x201 =E= 0;
e127.. - x112 - x113 - x114 - x115 - x116 - x117 - x118 - x160 + x202 =E= 0;
e128.. - x119 - x120 - x121 - x122 - x123 - x124 - x125 - x161 + x203 =E= 0;
e129.. - x126 - x127 - x128 - x129 - x130 - x131 - x132 - x162 + x204 =E= 0;
e130.. - x133 - x134 - x135 - x136 - x137 - x138 - x139 - x163 + x205 =E= 0;
e131.. - x140 - x141 - x142 - x143 - x144 - x145 - x146 - x164 + x206 =E= 0;
e132.. - x147 - x148 - x149 - x150 - x151 - x152 - x153 - x165 + x207 =E= 0;
e133.. x201*x208 - x105 =E= 0;
e134.. x201*x209 - x106 =E= 0;
e135.. x201*x210 - x107 =E= 0;
e136.. x201*x211 - x108 =E= 0;
e137.. x201*x212 - x109 =E= 0;
e138.. x201*x213 - x110 =E= 0;
e139.. x201*x214 - x111 =E= 0;
e140.. x202*x215 - x112 =E= 0;
e141.. x202*x216 - x113 =E= 0;
e142.. x202*x217 - x114 =E= 0;
e143.. x202*x218 - x115 =E= 0;
e144.. x202*x219 - x116 =E= 0;
e145.. x202*x220 - x117 =E= 0;
e146.. x202*x221 - x118 =E= 0;
e147.. x203*x222 - x119 =E= 0;
e148.. x203*x223 - x120 =E= 0;
e149.. x203*x224 - x121 =E= 0;
e150.. x203*x225 - x122 =E= 0;
e151.. x203*x226 - x123 =E= 0;
e152.. x203*x227 - x124 =E= 0;
e153.. x203*x228 - x125 =E= 0;
e154.. x204*x229 - x126 =E= 0;
e155.. x204*x230 - x127 =E= 0;
e156.. x204*x231 - x128 =E= 0;
e157.. x204*x232 - x129 =E= 0;
e158.. x204*x233 - x130 =E= 0;
e159.. x204*x234 - x131 =E= 0;
e160.. x204*x235 - x132 =E= 0;
e161.. x205*x236 - x133 =E= 0;
e162.. x205*x237 - x134 =E= 0;
e163.. x205*x238 - x135 =E= 0;
e164.. x205*x239 - x136 =E= 0;
e165.. x205*x240 - x137 =E= 0;
e166.. x205*x241 - x138 =E= 0;
e167.. x205*x242 - x139 =E= 0;
e168.. x206*x243 - x140 =E= 0;
e169.. x206*x244 - x141 =E= 0;
e170.. x206*x245 - x142 =E= 0;
e171.. x206*x246 - x143 =E= 0;
e172.. x206*x247 - x144 =E= 0;
e173.. x206*x248 - x145 =E= 0;
e174.. x206*x249 - x146 =E= 0;
e175.. x207*x250 - x147 =E= 0;
e176.. x207*x251 - x148 =E= 0;
e177.. x207*x252 - x149 =E= 0;
e178.. x207*x253 - x150 =E= 0;
e179.. x207*x254 - x151 =E= 0;
e180.. x207*x255 - x152 =E= 0;
e181.. x207*x256 - x153 =E= 0;
e182.. x201*x262 - x159 =E= 0;
e183.. x202*x263 - x160 =E= 0;
e184.. x203*x264 - x161 =E= 0;
e185.. x204*x265 - x162 =E= 0;
e186.. x205*x266 - x163 =E= 0;
e187.. x206*x267 - x164 =E= 0;
e188.. x207*x268 - x165 =E= 0;
e189.. x98*x208 - x1 =E= 0;
e190.. x98*x209 - x2 =E= 0;
e191.. x98*x210 - x3 =E= 0;
e192.. x98*x211 - x4 =E= 0;
e193.. x98*x212 - x5 =E= 0;
e194.. x98*x213 - x6 =E= 0;
e195.. x98*x214 - x7 =E= 0;
e196.. x99*x215 - x8 =E= 0;
e197.. x99*x216 - x9 =E= 0;
e198.. x99*x217 - x10 =E= 0;
e199.. x99*x218 - x11 =E= 0;
e200.. x99*x219 - x12 =E= 0;
e201.. x99*x220 - x13 =E= 0;
e202.. x99*x221 - x14 =E= 0;
e203.. x100*x222 - x15 =E= 0;
e204.. x100*x223 - x16 =E= 0;
e205.. x100*x224 - x17 =E= 0;
e206.. x100*x225 - x18 =E= 0;
e207.. x100*x226 - x19 =E= 0;
e208.. x100*x227 - x20 =E= 0;
e209.. x100*x228 - x21 =E= 0;
e210.. x101*x229 - x22 =E= 0;
e211.. x101*x230 - x23 =E= 0;
e212.. x101*x231 - x24 =E= 0;
e213.. x101*x232 - x25 =E= 0;
e214.. x101*x233 - x26 =E= 0;
e215.. x101*x234 - x27 =E= 0;
e216.. x101*x235 - x28 =E= 0;
e217.. x102*x236 - x29 =E= 0;
e218.. x102*x237 - x30 =E= 0;
e219.. x102*x238 - x31 =E= 0;
e220.. x102*x239 - x32 =E= 0;
e221.. x102*x240 - x33 =E= 0;
e222.. x102*x241 - x34 =E= 0;
e223.. x102*x242 - x35 =E= 0;
e224.. x103*x243 - x36 =E= 0;
e225.. x103*x244 - x37 =E= 0;
e226.. x103*x245 - x38 =E= 0;
e227.. x103*x246 - x39 =E= 0;
e228.. x103*x247 - x40 =E= 0;
e229.. x103*x248 - x41 =E= 0;
e230.. x103*x249 - x42 =E= 0;
e231.. x104*x250 - x43 =E= 0;
e232.. x104*x251 - x44 =E= 0;
e233.. x104*x252 - x45 =E= 0;
e234.. x104*x253 - x46 =E= 0;
e235.. x104*x254 - x47 =E= 0;
e236.. x104*x255 - x48 =E= 0;
e237.. x104*x256 - x49 =E= 0;
e238.. x98*x262 - x55 =E= 0;
e239.. x99*x263 - x56 =E= 0;
e240.. x100*x264 - x57 =E= 0;
e241.. x101*x265 - x58 =E= 0;
e242.. x102*x266 - x59 =E= 0;
e243.. x103*x267 - x60 =E= 0;
e244.. x104*x268 - x61 =E= 0;
e245.. x208 + x209 + x210 + x211 + x212 + x213 + x214 + x262 =E= 1;
e246.. x215 + x216 + x217 + x218 + x219 + x220 + x221 + x263 =E= 1;
e247.. x222 + x223 + x224 + x225 + x226 + x227 + x228 + x264 =E= 1;
e248.. x229 + x230 + x231 + x232 + x233 + x234 + x235 + x265 =E= 1;
e249.. x236 + x237 + x238 + x239 + x240 + x241 + x242 + x266 =E= 1;
e250.. x243 + x244 + x245 + x246 + x247 + x248 + x249 + x267 =E= 1;
e251.. x250 + x251 + x252 + x253 + x254 + x255 + x256 + x268 =E= 1;
e252.. - 4*x97 + x154 + x155 + x156 + x157 + x158 + x159 + x160 + x161 + x162
+ x163 + x164 + x165 =L= 0;
* set non-default bounds
x1.up = 1000000;
x2.up = 1000000;
x3.up = 1000000;
x4.up = 1000000;
x5.up = 1000000;
x6.up = 1000000;
x7.up = 1000000;
x8.up = 1000000;
x9.up = 1000000;
x10.up = 1000000;
x11.up = 1000000;
x12.up = 1000000;
x13.up = 1000000;
x14.up = 1000000;
x15.up = 1000000;
x16.up = 1000000;
x17.up = 1000000;
x18.up = 1000000;
x19.up = 1000000;
x20.up = 1000000;
x21.up = 1000000;
x22.up = 1000000;
x23.up = 1000000;
x24.up = 1000000;
x25.up = 1000000;
x26.up = 1000000;
x27.up = 1000000;
x28.up = 1000000;
x29.up = 1000000;
x30.up = 1000000;
x31.up = 1000000;
x32.up = 1000000;
x33.up = 1000000;
x34.up = 1000000;
x35.up = 1000000;
x36.up = 1000000;
x37.up = 1000000;
x38.up = 1000000;
x39.up = 1000000;
x40.up = 1000000;
x41.up = 1000000;
x42.up = 1000000;
x43.up = 1000000;
x44.up = 1000000;
x45.up = 1000000;
x46.up = 1000000;
x47.up = 1000000;
x48.up = 1000000;
x49.up = 1000000;
x50.up = 1000000;
x51.up = 1000000;
x52.up = 1000000;
x53.up = 1000000;
x54.up = 1000000;
x55.up = 1000000;
x56.up = 1000000;
x57.up = 1000000;
x58.up = 1000000;
x59.up = 1000000;
x60.up = 1000000;
x61.up = 1000000;
x62.up = 1000000;
x63.up = 1000000;
x64.up = 1000000;
x65.up = 1000000;
x66.up = 1000000;
x67.up = 1000000;
x68.up = 1000000;
x69.up = 1000000;
x70.up = 1000000;
x71.up = 1000000;
x72.up = 1000000;
x73.up = 1000000;
x74.up = 1000000;
x75.up = 1000000;
x76.up = 1000000;
x77.up = 1000000;
x78.up = 1000000;
x79.up = 1000000;
x80.up = 1000000;
x81.up = 1000000;
x82.up = 1000000;
x83.up = 1000000;
x84.up = 1000000;
x85.up = 1000000;
x86.up = 1000000;
x87.up = 1000000;
x88.up = 1000000;
x89.up = 1000000;
x90.up = 1000000;
x91.up = 1000000;
x92.up = 1000000;
x93.up = 1000000;
x94.up = 1000000;
x95.up = 1000000;
x96.up = 1000000;
x97.up = 1000000;
x98.up = 1000000;
x99.up = 1000000;
x100.up = 1000000;
x101.up = 1000000;
x102.up = 1000000;
x103.up = 1000000;
x104.up = 1000000;
x105.up = 1000000;
x106.up = 1000000;
x107.up = 1000000;
x108.up = 1000000;
x109.up = 1000000;
x110.up = 1000000;
x111.up = 1000000;
x112.up = 1000000;
x113.up = 1000000;
x114.up = 1000000;
x115.up = 1000000;
x116.up = 1000000;
x117.up = 1000000;
x118.up = 1000000;
x119.up = 1000000;
x120.up = 1000000;
x121.up = 1000000;
x122.up = 1000000;
x123.up = 1000000;
x124.up = 1000000;
x125.up = 1000000;
x126.up = 1000000;
x127.up = 1000000;
x128.up = 1000000;
x129.up = 1000000;
x130.up = 1000000;
x131.up = 1000000;
x132.up = 1000000;
x133.up = 1000000;
x134.up = 1000000;
x135.up = 1000000;
x136.up = 1000000;
x137.up = 1000000;
x138.up = 1000000;
x139.up = 1000000;
x140.up = 1000000;
x141.up = 1000000;
x142.up = 1000000;
x143.up = 1000000;
x144.up = 1000000;
x145.up = 1000000;
x146.up = 1000000;
x147.up = 1000000;
x148.up = 1000000;
x149.up = 1000000;
x150.up = 1000000;
x151.up = 1000000;
x152.up = 1000000;
x153.up = 1000000;
x154.up = 1000000;
x155.up = 1000000;
x156.up = 1000000;
x157.up = 1000000;
x158.up = 1000000;
x159.up = 1000000;
x160.up = 1000000;
x161.up = 1000000;
x162.up = 1000000;
x163.up = 1000000;
x164.up = 1000000;
x165.up = 1000000;
x166.up = 1000000;
x167.up = 1000000;
x168.up = 1000000;
x169.up = 1000000;
x170.up = 1000000;
x171.up = 1000000;
x172.up = 1000000;
x173.up = 1000000;
x174.up = 1000000;
x175.up = 1000000;
x176.up = 1000000;
x177.up = 1000000;
x178.up = 1000000;
x179.up = 1000000;
x180.up = 1000000;
x181.up = 1000000;
x182.up = 1000000;
x183.up = 1000000;
x184.up = 1000000;
x185.up = 1000000;
x186.up = 1000000;
x187.up = 1000000;
x188.up = 1000000;
x189.up = 1000000;
x190.up = 1000000;
x191.up = 1000000;
x192.up = 1000000;
x193.up = 1000000;
x194.up = 1000000;
x195.up = 1000000;
x196.up = 1000000;
x197.up = 1000000;
x198.up = 1000000;
x199.up = 1000000;
x200.up = 1000000;
x201.up = 1000000;
x202.up = 1000000;
x203.up = 1000000;
x204.up = 1000000;
x205.up = 1000000;
x206.up = 1000000;
x207.up = 1000000;
x208.up = 1000000;
x209.up = 1000000;
x210.up = 1000000;
x211.up = 1000000;
x212.up = 1000000;
x213.up = 1000000;
x214.up = 1000000;
x215.up = 1000000;
x216.up = 1000000;
x217.up = 1000000;
x218.up = 1000000;
x219.up = 1000000;
x220.up = 1000000;
x221.up = 1000000;
x222.up = 1000000;
x223.up = 1000000;
x224.up = 1000000;
x225.up = 1000000;
x226.up = 1000000;
x227.up = 1000000;
x228.up = 1000000;
x229.up = 1000000;
x230.up = 1000000;
x231.up = 1000000;
x232.up = 1000000;
x233.up = 1000000;
x234.up = 1000000;
x235.up = 1000000;
x236.up = 1000000;
x237.up = 1000000;
x238.up = 1000000;
x239.up = 1000000;
x240.up = 1000000;
x241.up = 1000000;
x242.up = 1000000;
x243.up = 1000000;
x244.up = 1000000;
x245.up = 1000000;
x246.up = 1000000;
x247.up = 1000000;
x248.up = 1000000;
x249.up = 1000000;
x250.up = 1000000;
x251.up = 1000000;
x252.up = 1000000;
x253.up = 1000000;
x254.up = 1000000;
x255.up = 1000000;
x256.up = 1000000;
x257.up = 1000000;
x258.up = 1000000;
x259.up = 1000000;
x260.up = 1000000;
x261.up = 1000000;
x262.up = 1000000;
x263.up = 1000000;
x264.up = 1000000;
x265.up = 1000000;
x266.up = 1000000;
x267.up = 1000000;
x268.up = 1000000;
x269.up = 1000000;
x270.up = 1000000;
x271.up = 1000000;
x272.up = 1000000;
x273.up = 1000000;
x274.up = 1000000;
x275.up = 1000000;
x276.up = 1000000;
x277.up = 1000000;
x278.up = 1000000;
x279.up = 1000000;
x280.up = 1000000;
x281.up = 1000000;
x282.up = 1000000;
x283.up = 1000000;
x284.up = 1000000;
x285.up = 1000000;
x286.up = 1000000;
x287.up = 1000000;
x288.up = 1000000;
x289.up = 1000000;
x290.up = 1000000;
x291.up = 1000000;
x292.up = 1000000;
x293.up = 1000000;
x294.up = 1000000;
x295.up = 1000000;
x296.up = 1000000;
x297.up = 1000000;
x298.up = 1000000;
x299.up = 1000000;
x300.up = 1000000;
x301.up = 1000000;
x302.up = 1000000;
x303.up = 1000000;
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: 2025-08-07 Git hash: e62cedfc