MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance forest
| Formatsⓘ | ams gms lp mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 14396226.50000000 (ANTIGONE) 14396291.23000000 (BARON) 14396226.49000000 (COUENNE) 14396226.49000000 (GUROBI) 16860156.77000000 (LINDO) 14397666.05000000 (SCIP) 20417191.65000000 (SHOT) |
| Sourceⓘ | AIMMS clients |
| Applicationⓘ | Chain Optimization |
| Added to libraryⓘ | 06 Feb 2017 |
| Problem typeⓘ | MBQCP |
| #Variablesⓘ | 236 |
| #Binary Variablesⓘ | 73 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 155 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | max |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 6 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 309 |
| #Linear Constraintsⓘ | 285 |
| #Quadratic Constraintsⓘ | 24 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 1007 |
| #Nonlinear Nonzeros in Jacobianⓘ | 178 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 308 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 0 |
| #Blocks in Hessian of Lagrangianⓘ | 1 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 155 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 155 |
| Average blocksize in Hessian of Lagrangianⓘ | 155.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.8000e-02 |
| Maximal coefficientⓘ | 1.0000e+10 |
| Infeasibility of initial pointⓘ | 2.155e+07 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 310 142 48 120 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 237 164 73 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1014 836 178 0
*
* Solve m using MINLP maximizing objvar;
Variables b1,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,b32,b33,b34,b35,b36
,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52,b53
,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69,b70
,b71,b72,b73,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,objvar;
Positive Variables 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;
Binary Variables b1,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,b32,b33,b34
,b35,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51
,b52,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68
,b69,b70,b71,b72,b73;
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;
e1.. x75 =E= 7791.10108432975;
e2.. x76 =E= 9249.06867273578;
e3.. x77 =E= 10096.0784145717;
e4.. x78 =E= 10051.6451166393;
e5.. x79 =E= 9637.86002964406;
e6.. x80 =E= 10330.741769277;
e7.. x81 =E= 11612.3647065139;
e8.. x82 =E= 11152.7577810259;
e9.. x83 =E= 11005.572481625;
e10.. x84 =E= 11165.2546460694;
e11.. x85 =E= 8811.67839621397;
e12.. x86 =E= 7295.54964171257;
e13.. x87 =E= 8264.56262094388;
e14.. x88 =E= 11772.1524347523;
e15.. x89 =E= 9638.4603939449;
e16.. x90 =E= 9595.2613887519;
e17.. x91 =E= 9200.54106679229;
e18.. x92 =E= 10682.8598724346;
e19.. x93 =E= 12008.4764043375;
e20.. x94 =E= 11533.2873472145;
e21.. x95 =E= 11380.8202700627;
e22.. x96 =E= 8881.20724409107;
e23.. x97 =E= 7010.09739171175;
e24.. x98 =E= 10282.2488966628;
e25.. x99 =E= 8735.60231062138;
e26.. x100 =E= 10369.3707213156;
e27.. x101 =E= 9988.09563923272;
e28.. x102 =E= 9943.12953618609;
e29.. x103 =E= 9534.68743351253;
e30.. x104 =E= 10218.5469173467;
e31.. x105 =E= 11486.9657407871;
e32.. x106 =E= 11031.6839474399;
e33.. x107 =E= 10886.4809063518;
e34.. x108 =E= 9387.61080479751;
e35.. x109 =E= 7409.10227074579;
e36.. x110 =E= 1118.55473503165;
e37.. x111 =E= 950.53653428635;
e38.. x112 =E= 1127.95435465377;
e39.. x113 =E= 923.51262787277;
e40.. x114 =E= 919.4002942881;
e41.. x115 =E= 881.80181579964;
e42.. x116 =E= 945.24924824891;
e43.. x117 =E= 1062.15701729896;
e44.. x118 =E= 1020.44620522583;
e45.. x119 =E= 1006.93425201904;
e46.. x120 =E= 1021.62115767859;
e47.. x121 =E= 806.01738259634;
e48.. x122 =E= 0;
e49.. x123 =E= 0;
e50.. x124 =E= 0;
e51.. x125 =E= 628.45542857142;
e52.. x126 =E= 628.45542857142;
e53.. x127 =E= 628.45542857142;
e54.. x128 =E= 628.45542857142;
e55.. x129 =E= 628.45542857142;
e56.. x130 =E= 628.45542857142;
e57.. x131 =E= 628.45542857142;
e58.. x132 =E= 0;
e59.. x133 =E= 0;
e60.. x134 =L= 6000;
e61.. x135 =L= 6000;
e62.. x136 =L= 6000;
e63.. x137 =L= 6000;
e64.. x138 =L= 6000;
e65.. x139 =L= 6000;
e66.. x140 =L= 6000;
e67.. x141 =L= 6000;
e68.. x142 =L= 6000;
e69.. x143 =L= 6000;
e70.. x144 =L= 6000;
e71.. x145 =L= 6000;
e72.. x146 =L= 20800;
e73.. x147 =L= 20800;
e74.. x148 =L= 20800;
e75.. x149 =L= 0;
e76.. x150 =L= 0;
e77.. x151 =L= 0;
e78.. x152 =L= 20800;
e79.. x153 =L= 20800;
e80.. x154 =L= 20800;
e81.. x155 =L= 20800;
e82.. x156 =L= 20800;
e83.. x157 =L= 20800;
e84.. x158 =L= 238;
e85.. x159 =L= 202;
e86.. x160 =L= 240;
e87.. x161 =L= 197;
e88.. x162 =L= 196;
e89.. x163 =L= 188;
e90.. x164 =L= 201;
e91.. x165 =L= 226;
e92.. x166 =L= 217;
e93.. x167 =L= 214;
e94.. x168 =L= 217;
e95.. x169 =L= 172;
e96.. x170 =L= 500;
e97.. x171 =L= 500;
e98.. x172 =L= 500;
e99.. x173 =L= 500;
e100.. x174 =L= 500;
e101.. x175 =L= 500;
e102.. x176 =L= 500;
e103.. x177 =L= 500;
e104.. x178 =L= 500;
e105.. x179 =L= 500;
e106.. x180 =L= 500;
e107.. x181 =L= 500;
e108.. x182 =L= 230000;
e109.. x183 =L= 230000;
e110.. x184 =L= 230000;
e111.. x185 =L= 230000;
e112.. x186 =L= 230000;
e113.. x187 =L= 230000;
e114.. x188 =L= 230000;
e115.. x189 =L= 230000;
e116.. x190 =L= 230000;
e117.. x191 =L= 230000;
e118.. x192 =L= 230000;
e119.. x193 =L= 230000;
e120.. - x74 - x86 - x98 - x110 - x122 - x134 - x146 - x158 - x170 + x182
+ x194 =E= 80000;
e121.. - x75 - x87 - x99 - x111 - x123 - x135 - x147 - x159 - x171 - x182
+ x183 + x195 =E= 0;
e122.. - x76 - x88 - x100 - x112 - x124 - x136 - x148 - x160 - x172 - x183
+ x184 + x196 =E= 0;
e123.. - x77 - x89 - x101 - x113 - x125 - x137 - x149 - x161 - x173 - x184
+ x185 + x197 =E= 0;
e124.. - x78 - x90 - x102 - x114 - x126 - x138 - x150 - x162 - x174 - x185
+ x186 + x198 =E= 0;
e125.. - x79 - x91 - x103 - x115 - x127 - x139 - x151 - x163 - x175 - x186
+ x187 + x199 =E= 0;
e126.. - x80 - x92 - x104 - x116 - x128 - x140 - x152 - x164 - x176 - x187
+ x188 + x200 =E= 0;
e127.. - x81 - x93 - x105 - x117 - x129 - x141 - x153 - x165 - x177 - x188
+ x189 + x201 =E= 0;
e128.. - x82 - x94 - x106 - x118 - x130 - x142 - x154 - x166 - x178 - x189
+ x190 + x202 =E= 0;
e129.. - x83 - x95 - x107 - x119 - x131 - x143 - x155 - x167 - x179 - x190
+ x191 + x203 =E= 0;
e130.. - x84 - x96 - x108 - x120 - x132 - x144 - x156 - x168 - x180 - x191
+ x192 + x204 =E= 0;
e131.. - x85 - x97 - x109 - x121 - x133 - x145 - x157 - x169 - x181 - x192
+ x193 + x205 =E= 0;
e132.. 0.018*x218*x206 - 0.3*x194*x218 =E= -49104;
e133.. 0.018*x219*x207 - 0.3*x195*x219 =E= -44352;
e134.. 0.018*x220*x208 - 0.3*x196*x220 =E= -49104;
e135.. 0.018*x221*x209 - 0.3*x197*x221 =E= -47520;
e136.. 0.018*x222*x210 - 0.3*x198*x222 =E= -28512;
e137.. 0.018*x223*x211 - 0.3*x199*x223 =E= -47520;
e138.. 0.018*x224*x212 - 0.3*x200*x224 =E= -49104;
e139.. 0.018*x225*x213 - 0.3*x201*x225 =E= -49104;
e140.. 0.018*x226*x214 - 0.3*x202*x226 =E= -45936;
e141.. 0.018*x227*x215 - 0.3*x203*x227 + 14360*b73 =E= -34744;
e142.. 0.018*x228*x216 - 0.3*x204*x228 + 47520*b73 =E= 0;
e143.. 0.018*x229*x217 - 0.3*x205*x229 + 49104*b73 =E= 0;
e144.. 10000000000*b49 + x182 =G= 120000;
e145.. 10000000000*b50 + x183 =G= 120000;
e146.. 10000000000*b51 + x184 =G= 120000;
e147.. 10000000000*b52 + x185 =G= 120000;
e148.. 10000000000*b53 + x186 =G= 120000;
e149.. 10000000000*b54 + x187 =G= 120000;
e150.. 10000000000*b55 + x188 =G= 120000;
e151.. 10000000000*b56 + x189 =G= 120000;
e152.. 10000000000*b57 + x190 =G= 120000;
e153.. 10000000000*b58 + x191 =G= 120000;
e154.. 10000000000*b59 + x192 =G= 120000;
e155.. 10000000000*b60 + x193 =G= 120000;
e156.. b49 + b61 =E= 1;
e157.. b50 + b62 =E= 1;
e158.. b51 + b63 =E= 1;
e159.. b52 + b64 =E= 1;
e160.. b53 + b65 =E= 1;
e161.. b54 + b66 =E= 1;
e162.. b55 + b67 =E= 1;
e163.. b56 + b68 =E= 1;
e164.. b57 + b69 =E= 1;
e165.. b58 + b70 =E= 1;
e166.. b59 + b71 =E= 1;
e167.. b60 + b72 =E= 1;
e168.. 10000000000*b49 + x182 =L= 10000120000;
e169.. 10000000000*b50 + x183 =L= 10000120000;
e170.. 10000000000*b51 + x184 =L= 10000120000;
e171.. 10000000000*b52 + x185 =L= 10000120000;
e172.. 10000000000*b53 + x186 =L= 10000120000;
e173.. 10000000000*b54 + x187 =L= 10000120000;
e174.. 10000000000*b55 + x188 =L= 10000120000;
e175.. 10000000000*b56 + x189 =L= 10000120000;
e176.. 10000000000*b57 + x190 =L= 10000120000;
e177.. 10000000000*b58 + x191 =L= 10000120000;
e178.. 10000000000*b59 + x192 =L= 10000120000;
e179.. 10000000000*b60 + x193 =L= 10000120000;
e180.. 10000000000*b25 + x182 =G= 180000;
e181.. 10000000000*b26 + x183 =G= 180000;
e182.. 10000000000*b27 + x184 =G= 180000;
e183.. 10000000000*b28 + x185 =G= 180000;
e184.. 10000000000*b29 + x186 =G= 180000;
e185.. 10000000000*b30 + x187 =G= 180000;
e186.. 10000000000*b31 + x188 =G= 180000;
e187.. 10000000000*b32 + x189 =G= 180000;
e188.. 10000000000*b33 + x190 =G= 180000;
e189.. 10000000000*b34 + x191 =G= 180000;
e190.. 10000000000*b35 + x192 =G= 180000;
e191.. 10000000000*b36 + x193 =G= 180000;
e192.. b25 + b37 =E= 1;
e193.. b26 + b38 =E= 1;
e194.. b27 + b39 =E= 1;
e195.. b28 + b40 =E= 1;
e196.. b29 + b41 =E= 1;
e197.. b30 + b42 =E= 1;
e198.. b31 + b43 =E= 1;
e199.. b32 + b44 =E= 1;
e200.. b33 + b45 =E= 1;
e201.. b34 + b46 =E= 1;
e202.. b35 + b47 =E= 1;
e203.. b36 + b48 =E= 1;
e204.. 10000000000*b25 + x182 =L= 10000180000;
e205.. 10000000000*b26 + x183 =L= 10000180000;
e206.. 10000000000*b27 + x184 =L= 10000180000;
e207.. 10000000000*b28 + x185 =L= 10000180000;
e208.. 10000000000*b29 + x186 =L= 10000180000;
e209.. 10000000000*b30 + x187 =L= 10000180000;
e210.. 10000000000*b31 + x188 =L= 10000180000;
e211.. 10000000000*b32 + x189 =L= 10000180000;
e212.. 10000000000*b33 + x190 =L= 10000180000;
e213.. 10000000000*b34 + x191 =L= 10000180000;
e214.. 10000000000*b35 + x192 =L= 10000180000;
e215.. 10000000000*b36 + x193 =L= 10000180000;
e216.. 100000000*b1 - x182 =G= -50000;
e217.. 100000000*b2 - x183 =G= -50000;
e218.. 100000000*b3 - x184 =G= -50000;
e219.. 100000000*b4 - x185 =G= -50000;
e220.. 100000000*b5 - x186 =G= -50000;
e221.. 100000000*b6 - x187 =G= -50000;
e222.. 100000000*b7 - x188 =G= -50000;
e223.. 100000000*b8 - x189 =G= -50000;
e224.. 100000000*b9 - x190 =G= -50000;
e225.. 100000000*b10 - x191 =G= -50000;
e226.. 100000000*b11 - x192 =G= -50000;
e227.. 100000000*b12 - x193 =G= -50000;
e228.. b1 + b13 =E= 1;
e229.. b2 + b14 =E= 1;
e230.. b3 + b15 =E= 1;
e231.. b4 + b16 =E= 1;
e232.. b5 + b17 =E= 1;
e233.. b6 + b18 =E= 1;
e234.. b7 + b19 =E= 1;
e235.. b8 + b20 =E= 1;
e236.. b9 + b21 =E= 1;
e237.. b10 + b22 =E= 1;
e238.. b11 + b23 =E= 1;
e239.. b12 + b24 =E= 1;
e240.. 100000000*b1 - x182 =L= 99950000;
e241.. 100000000*b2 - x183 =L= 99950000;
e242.. 100000000*b3 - x184 =L= 99950000;
e243.. 100000000*b4 - x185 =L= 99950000;
e244.. 100000000*b5 - x186 =L= 99950000;
e245.. 100000000*b6 - x187 =L= 99950000;
e246.. 100000000*b7 - x188 =L= 99950000;
e247.. 100000000*b8 - x189 =L= 99950000;
e248.. 100000000*b9 - x190 =L= 99950000;
e249.. 100000000*b10 - x191 =L= 99950000;
e250.. 100000000*b11 - x192 =L= 99950000;
e251.. 100000000*b12 - x193 =L= 99950000;
e252.. x193 =E= 50000;
e253.. - 100000000*b13 + x206 =L= 0;
e254.. - 100000000*b14 + x207 =L= 0;
e255.. - 100000000*b15 + x208 =L= 0;
e256.. - 100000000*b16 + x209 =L= 0;
e257.. - 100000000*b17 + x210 =L= 0;
e258.. - 100000000*b18 + x211 =L= 0;
e259.. - 100000000*b19 + x212 =L= 0;
e260.. - 100000000*b20 + x213 =L= 0;
e261.. - 100000000*b21 + x214 =L= 0;
e262.. - 100000000*b22 + x215 =L= 0;
e263.. - 100000000*b23 + x216 =L= 0;
e264.. - 100000000*b24 + x217 =L= 0;
e265.. - x194 + x206 =L= 0;
e266.. - x195 + x207 =L= 0;
e267.. - x196 + x208 =L= 0;
e268.. - x197 + x209 =L= 0;
e269.. - x198 + x210 =L= 0;
e270.. - x199 + x211 =L= 0;
e271.. - x200 + x212 =L= 0;
e272.. - x201 + x213 =L= 0;
e273.. - x202 + x214 =L= 0;
e274.. - x203 + x215 =L= 0;
e275.. - x204 + x216 =L= 0;
e276.. - x205 + x217 =L= 0;
e277.. - 100000000*b13 - x194 + x206 =G= -100000000;
e278.. - 100000000*b14 - x195 + x207 =G= -100000000;
e279.. - 100000000*b15 - x196 + x208 =G= -100000000;
e280.. - 100000000*b16 - x197 + x209 =G= -100000000;
e281.. - 100000000*b17 - x198 + x210 =G= -100000000;
e282.. - 100000000*b18 - x199 + x211 =G= -100000000;
e283.. - 100000000*b19 - x200 + x212 =G= -100000000;
e284.. - 100000000*b20 - x201 + x213 =G= -100000000;
e285.. - 100000000*b21 - x202 + x214 =G= -100000000;
e286.. - 100000000*b22 - x203 + x215 =G= -100000000;
e287.. - 100000000*b23 - x204 + x216 =G= -100000000;
e288.. - 100000000*b24 - x205 + x217 =G= -100000000;
e289.. (x75 + x87 + x99 + x111 + x123 + x135 + x147 + x159 + x171 + x182)*x219
- x182*x218 - 3.45306900938*x75 - 2.89465224642*x87 - 3.3907445128*x99
- 2.92984041218*x111 - 1.99104678785*x123 - 3.20721402214*x135 -
3.23089372607*x147 - 2.72277689967*x159 - 3.98576673328*x171 =E= 0;
e290.. (x76 + x88 + x100 + x112 + x124 + x136 + x148 + x160 + x172 + x183)*x220
- x183*x219 - 3.71204918508*x76 - 3.13873771232*x88 - 3.84462369955*
x100 - 2.92984041218*x112 - 3.72025957148*x124 - 3.19346390844*x136 -
3.32339415853*x148 - 4.17259954891*x160 - 3.98576673328*x172 =E= 0;
e291.. (x77 + x89 + x101 + x113 + x125 + x137 + x149 + x161 + x173 + x184)*x221
- x184*x220 - 3.30072772955*x77 - 3.25387105584*x89 - 3.76719725005*
x101 - 2.92984041218*x113 - 4.04067067003*x125 - 3.00611860918*x137 -
2.70045260066*x149 - 4.33701242665*x161 - 3.98576673328*x173 =E= 0;
e292.. (x78 + x90 + x102 + x114 + x126 + x138 + x150 + x162 + x174 + x185)*x222
- x185*x221 - 3.30072772955*x78 - 3.30782679041*x90 - 3.47084083987*
x102 - 2.92984041218*x114 - 3.19872785585*x126 - 2.99064973126*x138 -
3.22433875168*x150 - 3.29323976337*x162 - 3.98576673328*x174 =E= 0;
e293.. (x79 + x91 + x103 + x115 + x127 + x139 + x151 + x163 + x175 + x186)*x223
- x186*x222 - 4.12337064061*x79 - 3.18484660261*x91 - 2.91550630549*
x103 - 2.92984041218*x115 - 3.6817655639*x127 - 2.97861838176*x139 -
3.69558826155*x151 - 3.67853054759*x163 - 3.98576673328*x175 =E= 0;
e294.. (x80 + x92 + x104 + x116 + x128 + x140 + x152 + x164 + x176 + x187)*x224
- x187*x223 - 3.2626424096*x80 - 3.26650933601*x92 - 3.36226581873*x104
- 2.92984041218*x116 - 4.39438760391*x128 - 3.17111997366*x140 -
3.78307381649*x152 - 3.57473453891*x164 - 3.98576673328*x176 =E= 0;
e295.. (x81 + x93 + x105 + x117 + x129 + x141 + x153 + x165 + x177 + x188)*x225
- x188*x224 - 3.76452229258*x81 - 3.09556849526*x93 - 3.34535659412*
x105 - 2.92984041218*x117 - 4.20801589981*x129 - 3.41862202039*x141 -
3.9128590882*x153 - 3.53653760772*x165 - 3.98576673328*x177 =E= 0;
e296.. (x82 + x94 + x106 + x118 + x130 + x142 + x154 + x166 + x178 + x189)*x226
- x189*x225 - 3.41752271075*x82 - 3.15592438453*x94 - 3.56695643236*
x106 - 2.92984041218*x118 - 3.98773617096*x130 - 3.44870039412*x142 -
3.74366715891*x154 - 4.09537531845*x166 - 3.98576673328*x178 =E= 0;
e297.. (x83 + x95 + x107 + x119 + x131 + x143 + x155 + x167 + x179 + x190)*x227
- x190*x226 - 3.3794373908*x83 - 3.43664003059*x95 - 3.52423839126*x107
- 2.92984041218*x119 - 4.46282139516*x131 - 3.24158930641*x143 -
3.47930953913*x155 - 3.66989471967*x167 - 3.98576673328*x179 =E= 0;
e298.. (x84 + x96 + x108 + x120 + x132 + x144 + x156 + x168 + x180 + x191)*x228
- x191*x227 - 3.30072772955*x84 - 3.17901355022*x96 - 3.47084083987*
x108 - 2.92984041218*x120 - 3.97357497622*x132 - 3.09635373038*x144 -
3.55421340859*x156 - 3.93594464912*x168 - 3.98576673328*x180 =E= 0;
e299.. (x85 + x97 + x109 + x121 + x133 + x145 + x157 + x169 + x181 + x192)*x229
- x192*x228 - 3.30072772955*x85 - 3.15957004227*x97 - 3.43025870082*
x109 - 2.92984041218*x121 - 3.7252265402*x133 - 3.85175060216*x145 -
3.19457562475*x157 - 3.68683422829*x169 - 3.98576673328*x181 =E= 0;
e300.. (80000 + x74 + x86 + x98 + x110 + x122 + x134 + x146 + x158 + x170)*x218
- 3.63080050251*x74 - 2.86305654599*x86 - 3.41744328849*x98 -
2.92984041218*x110 - 3.48432855727*x122 - 3.23041733902*x134 -
3.6417311747*x146 - 4.28469923828*x158 - 3.98576673328*x170 =E= 260000;
e301.. b73 =E= 1;
e302.. x236 =E= 21546900;
e303.. - 4716820*b73 + x235 =E= 0;
e304.. - 15.6863186*x74 - 15.6863186*x75 - 15.6863186*x76 - 15.6863186*x77
- 15.6863186*x78 - 15.6863186*x79 - 15.6863186*x80 - 15.6863186*x81
- 15.6863186*x82 - 15.6863186*x83 - 15.6863186*x84 - 15.6863186*x85
- 2.1*x86 - 2.1*x87 - 2.1*x88 - 2.1*x89 - 2.1*x90 - 2.1*x91 - 2.1*x92
- 2.1*x93 - 2.1*x94 - 2.1*x95 - 2.1*x96 - 2.1*x97 - 14.2418893*x98
- 14.2418893*x99 - 14.2418893*x100 - 14.2418893*x101 - 14.2418893*x102
- 14.2418893*x103 - 14.2418893*x104 - 14.2418893*x105 - 14.2418893*x106
- 14.2418893*x107 - 14.2418893*x108 - 14.2418893*x109 - 2.1*x110
- 2.1*x111 - 2.1*x112 - 2.1*x113 - 2.1*x114 - 2.1*x115 - 2.1*x116
- 2.1*x117 - 2.1*x118 - 2.1*x119 - 2.1*x120 - 2.1*x121 - 24.630475*x122
- 24.630475*x123 - 24.630475*x124 - 24.630475*x125 - 24.630475*x126
- 24.630475*x127 - 24.630475*x128 - 24.630475*x129 - 24.630475*x130
- 24.630475*x131 - 24.630475*x132 - 24.630475*x133 - 23.7441195*x134
- 23.707386*x135 - 23.685618*x136 - 23.389029*x137 - 23.36454*x138
- 23.345493*x139 - 23.650245*x140 - 24.042069*x141 - 24.0896865*x142
- 23.761806*x143 - 23.5318815*x144 - 24.727761*x145
- 60.18757142857*x146 - 54.63853571428*x147 - 55.88790625*x148
- 47.47405555555*x149 - 54.55*x150 - 60.915*x151 - 62.09663636363*x152
- 63.8496*x153 - 61.56438461538*x154 - 57.9938*x155 - 59.0055*x156
- 54.148*x157 - 15*x158 - 15*x159 - 15*x160 - 15*x161 - 15*x162
- 15*x163 - 15*x164 - 15*x165 - 15*x166 - 15*x167 - 15*x168 - 15*x169
- 42*x170 - 42*x171 - 42*x172 - 42*x173 - 42*x174 - 42*x175 - 42*x176
- 42*x177 - 42*x178 - 42*x179 - 42*x180 - 42*x181 + x234 =E= 0;
e305.. - 2.1*x74 - 2.1*x75 - 2.1*x76 - 2.1*x77 - 2.1*x78 - 2.1*x79 - 2.1*x80
- 2.1*x81 - 2.1*x82 - 2.1*x83 - 2.1*x84 - 2.1*x85 - 2.1*x86 - 2.1*x87
- 2.1*x88 - 2.1*x89 - 2.1*x90 - 2.1*x91 - 2.1*x92 - 2.1*x93 - 2.1*x94
- 2.1*x95 - 2.1*x96 - 2.1*x97 - 2.1*x98 - 2.1*x99 - 2.1*x100 - 2.1*x101
- 2.1*x102 - 2.1*x103 - 2.1*x104 - 2.1*x105 - 2.1*x106 - 2.1*x107
- 2.1*x108 - 2.1*x109 - 2.1*x110 - 2.1*x111 - 2.1*x112 - 2.1*x113
- 2.1*x114 - 2.1*x115 - 2.1*x116 - 2.1*x117 - 2.1*x118 - 2.1*x119
- 2.1*x120 - 2.1*x121 - 18.63*x122 - 18.63*x123 - 18.63*x124
- 18.63*x125 - 18.63*x126 - 18.63*x127 - 18.63*x128 - 18.63*x129
- 18.63*x130 - 18.63*x131 - 18.63*x132 - 18.63*x133 - 18.63*x134
- 18.63*x135 - 18.63*x136 - 18.63*x137 - 18.63*x138 - 18.63*x139
- 18.63*x140 - 18.63*x141 - 18.63*x142 - 18.63*x143 - 18.63*x144
- 18.63*x145 - 11*x146 - 11*x147 - 11*x148 - 11*x149 - 11*x150
- 11*x151 - 11*x152 - 11*x153 - 11*x154 - 11*x155 - 11*x156 - 11*x157
- 15*x158 - 15*x159 - 15*x160 - 15*x161 - 15*x162 - 15*x163 - 15*x164
- 15*x165 - 15*x166 - 15*x167 - 15*x168 - 15*x169 - 30*x170 - 30*x171
- 30*x172 - 30*x173 - 30*x174 - 30*x175 - 30*x176 - 30*x177 - 30*x178
- 30*x179 - 30*x180 - 30*x181 + x233 =E= 0;
e306.. - 0.580146*x194 - 0.580146*x195 - 0.580146*x196 - 0.580146*x197
- 0.580146*x198 - 0.580146*x199 - 0.580146*x200 - 0.580146*x201
- 0.580146*x202 - 0.580146*x203 - 0.580146*x204 - 0.580146*x205 + x232
=E= 0;
e307.. - 329622.48*b73 + x231 =E= 1321650;
e308.. x74 =E= 9171.31040135413;
e309.. - 150000*b37 - 150000*b38 - 150000*b39 - 150000*b40 - 150000*b41
- 150000*b42 - 150000*b43 - 150000*b44 - 150000*b45 - 150000*b46
- 150000*b47 - 150000*b48 - 150000*b61 - 150000*b62 - 150000*b63
- 150000*b64 - 150000*b65 - 150000*b66 - 150000*b67 - 150000*b68
- 150000*b69 - 150000*b70 - 150000*b71 - 150000*b72 + x230 =E= 0;
e310.. x230 + x231 + x232 + x234 - x235 - x236 + objvar =E= 0;
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% maximizing objvar;
Last updated: 2025-08-07 Git hash: e62cedfc