MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance multiplants_stg5
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 5843.27295600 (ANTIGONE) 6241.69344300 (BARON) 5843.27295100 (COUENNE) 6173.25758200 (GUROBI) 25829.20213000 (LINDO) 55662.85202000 (SCIP) 159036.96000000 (SHOT) 11120.47773000 (XPRESS) |
| Referencesⓘ | Castro, Pedro M and Novais, Augusto Q, Periodic Scheduling of Continuous Multiproduct Plants, 2009. |
| Sourceⓘ | STG_EX5.gms from minlp.org model 34 |
| Applicationⓘ | Periodic Scheduling of Continuous Multiproduct Plants |
| Added to libraryⓘ | 24 Sep 2013 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 451 |
| #Binary Variablesⓘ | 216 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 37 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | max |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 1 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 299 |
| #Linear Constraintsⓘ | 274 |
| #Quadratic Constraintsⓘ | 1 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 24 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 1811 |
| #Nonlinear Nonzeros in Jacobianⓘ | 127 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 223 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 1 |
| #Blocks in Hessian of Lagrangianⓘ | 1 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 37 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 37 |
| Average blocksize in Hessian of Lagrangianⓘ | 37.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 5.3763e-04 |
| Maximal coefficientⓘ | 1.1160e+06 |
| Infeasibility of initial pointⓘ | 1e+05 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 299 149 27 123 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 451 235 216 0 0 0 0 0
* FX 73
*
* Nonzero counts
* Total const NL DLL
* 1811 1684 127 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,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86,b87
,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102,b103
,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115,b116
,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128,b129
,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141,b142
,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154,b155
,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167,b168
,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180,b181
,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193,b194
,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206,b207
,b208,b209,b210,b211,b212,b213,b214,b215,b216,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,x357,x358,x359,x360,x361,x362,x363
,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375,x376
,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388,x389
,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401,x402
,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414,x415
,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427,x428
,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440,x441
,x442,x443,x444,x445,x446,x447,x448,x449,x450,objvar;
Positive Variables 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,x361,x362,x363,x364
,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375,x376,x377
,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388,x389,x390
,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401,x402,x403
,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414,x415,x416
,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427,x428,x429
,x430,x431,x432,x433,x434,x435,x437,x438,x439,x440,x441,x442,x443
,x444,x445,x446,x447,x448,x449;
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,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85
,b86,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101
,b102,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114
,b115,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127
,b128,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140
,b141,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153
,b154,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166
,b167,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179
,b180,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192
,b193,b194,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205
,b206,b207,b208,b209,b210,b211,b212,b213,b214,b215,b216;
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;
e1.. objvar*x450 + (0.00203*x377 + 0.00203*x378)*(x437 - x436) + (0.00203*x378
+ 0.00203*x379)*(x438 - x437) + (0.00203*x379 + 0.00203*x380)*(x439 -
x438) + (0.00203*x380 + 0.00203*x381)*(x440 - x439) + (0.00203*x381 +
0.00203*x382)*(x441 - x440) + (0.00203*x382 + 0.00203*x383)*(x442 - x441)
+ (0.00203*x383 + 0.00203*x384)*(x443 - x442) + (0.00203*x377 + 0.00203*
x384)*(x450 - x443) + (0.00203*x401 + 0.00203*x402)*(x437 - x436) + (
0.00203*x402 + 0.00203*x403)*(x438 - x437) + (0.00203*x403 + 0.00203*x404)
*(x439 - x438) + (0.00203*x404 + 0.00203*x405)*(x440 - x439) + (0.00203*
x405 + 0.00203*x406)*(x441 - x440) + (0.00203*x406 + 0.00203*x407)*(x442
- x441) + (0.00203*x407 + 0.00203*x408)*(x443 - x442) + (0.00203*x401 +
0.00203*x408)*(x450 - x443) + (0.00203*x425 + 0.00203*x426)*(x437 - x436)
+ (0.00203*x426 + 0.00203*x427)*(x438 - x437) + (0.00203*x427 + 0.00203*
x428)*(x439 - x438) + (0.00203*x428 + 0.00203*x429)*(x440 - x439) + (
0.00203*x429 + 0.00203*x430)*(x441 - x440) + (0.00203*x430 + 0.00203*x431)
*(x442 - x441) + (0.00203*x431 + 0.00203*x432)*(x443 - x442) + (0.00203*
x425 + 0.00203*x432)*(x450 - x443) + 7600*b73 + 7600*b74 + 7600*b75
+ 7600*b76 + 7600*b77 + 7600*b78 + 7600*b79 + 7600*b80 + 7600*b81
+ 7600*b82 + 7600*b83 + 7600*b84 + 7600*b85 + 7600*b86 + 7600*b87
+ 7600*b88 + 7500*b89 + 7500*b90 + 7500*b91 + 7500*b92 + 7500*b93
+ 7500*b94 + 7500*b95 + 7500*b96 + 750*b97 + 750*b98 + 750*b99 + 750*b100
+ 750*b101 + 750*b102 + 750*b103 + 750*b104 + 7700*b105 + 7700*b106
+ 7700*b107 + 7700*b108 + 7700*b109 + 7700*b110 + 7700*b111 + 7700*b112
+ 770*b113 + 770*b114 + 770*b115 + 770*b116 + 770*b117 + 770*b118
+ 770*b119 + 770*b120 + 2280*b121 + 2280*b122 + 2280*b123 + 2280*b124
+ 2280*b125 + 2280*b126 + 2280*b127 + 2280*b128 + 2280*b129 + 2280*b130
+ 2280*b131 + 2280*b132 + 2280*b133 + 2280*b134 + 2280*b135 + 2280*b136
+ 2250*b137 + 2250*b138 + 2250*b139 + 2250*b140 + 2250*b141 + 2250*b142
+ 2250*b143 + 2250*b144 + 750*b145 + 750*b146 + 750*b147 + 750*b148
+ 750*b149 + 750*b150 + 750*b151 + 750*b152 + 2310*b153 + 2310*b154
+ 2310*b155 + 2310*b156 + 2310*b157 + 2310*b158 + 2310*b159 + 2310*b160
+ 770*b161 + 770*b162 + 770*b163 + 770*b164 + 770*b165 + 770*b166
+ 770*b167 + 770*b168 + 1520*b169 + 1520*b170 + 1520*b171 + 1520*b172
+ 1520*b173 + 1520*b174 + 1520*b175 + 1520*b176 + 1520*b177 + 1520*b178
+ 1520*b179 + 1520*b180 + 1520*b181 + 1520*b182 + 1520*b183 + 1520*b184
+ 1500*b185 + 1500*b186 + 1500*b187 + 1500*b188 + 1500*b189 + 1500*b190
+ 1500*b191 + 1500*b192 + 750*b193 + 750*b194 + 750*b195 + 750*b196
+ 750*b197 + 750*b198 + 750*b199 + 750*b200 + 1540*b201 + 1540*b202
+ 1540*b203 + 1540*b204 + 1540*b205 + 1540*b206 + 1540*b207 + 1540*b208
+ 770*b209 + 770*b210 + 770*b211 + 770*b212 + 770*b213 + 770*b214
+ 770*b215 + 770*b216 - 4*x433 - 1.5*x434 - 6.5*x435 + 0.1218*x444
+ 0.1218*x445 + 0.1218*x446 + 0.1218*x447 + 0.1218*x448 + 0.1218*x449
=E= 0;
e2.. b1 - b8 + b73 + b81 - b96 - b112 + x289 - x296 =E= 0;
e3.. - b1 + b2 + b74 + b82 - b89 - b105 - x289 + x290 =E= 0;
e4.. - b2 + b3 + b75 + b83 - b90 - b106 - x290 + x291 =E= 0;
e5.. - b3 + b4 + b76 + b84 - b91 - b107 - x291 + x292 =E= 0;
e6.. - b4 + b5 + b77 + b85 - b92 - b108 - x292 + x293 =E= 0;
e7.. - b5 + b6 + b78 + b86 - b93 - b109 - x293 + x294 =E= 0;
e8.. - b6 + b7 + b79 + b87 - b94 - b110 - x294 + x295 =E= 0;
e9.. - b7 + b8 + b80 + b88 - b95 - b111 - x295 + x296 =E= 0;
e10.. b25 - b32 - b80 + b89 + b97 - b120 + x297 - x304 =E= 0;
e11.. - b25 + b26 - b73 + b90 + b98 - b113 - x297 + x298 =E= 0;
e12.. - b26 + b27 - b74 + b91 + b99 - b114 - x298 + x299 =E= 0;
e13.. - b27 + b28 - b75 + b92 + b100 - b115 - x299 + x300 =E= 0;
e14.. - b28 + b29 - b76 + b93 + b101 - b116 - x300 + x301 =E= 0;
e15.. - b29 + b30 - b77 + b94 + b102 - b117 - x301 + x302 =E= 0;
e16.. - b30 + b31 - b78 + b95 + b103 - b118 - x302 + x303 =E= 0;
e17.. - b31 + b32 - b79 + b96 + b104 - b119 - x303 + x304 =E= 0;
e18.. b49 - b56 - b88 - b104 + b105 + b113 + x305 - x312 =E= 0;
e19.. - b49 + b50 - b81 - b97 + b106 + b114 - x305 + x306 =E= 0;
e20.. - b50 + b51 - b82 - b98 + b107 + b115 - x306 + x307 =E= 0;
e21.. - b51 + b52 - b83 - b99 + b108 + b116 - x307 + x308 =E= 0;
e22.. - b52 + b53 - b84 - b100 + b109 + b117 - x308 + x309 =E= 0;
e23.. - b53 + b54 - b85 - b101 + b110 + b118 - x309 + x310 =E= 0;
e24.. - b54 + b55 - b86 - b102 + b111 + b119 - x310 + x311 =E= 0;
e25.. - b55 + b56 - b87 - b103 + b112 + b120 - x311 + x312 =E= 0;
e26.. b9 - b16 + b121 + b129 - b144 - b160 + x313 - x320 =E= 0;
e27.. - b9 + b10 + b122 + b130 - b137 - b153 - x313 + x314 =E= 0;
e28.. - b10 + b11 + b123 + b131 - b138 - b154 - x314 + x315 =E= 0;
e29.. - b11 + b12 + b124 + b132 - b139 - b155 - x315 + x316 =E= 0;
e30.. - b12 + b13 + b125 + b133 - b140 - b156 - x316 + x317 =E= 0;
e31.. - b13 + b14 + b126 + b134 - b141 - b157 - x317 + x318 =E= 0;
e32.. - b14 + b15 + b127 + b135 - b142 - b158 - x318 + x319 =E= 0;
e33.. - b15 + b16 + b128 + b136 - b143 - b159 - x319 + x320 =E= 0;
e34.. b33 - b40 - b128 + b137 + b145 - b168 + x321 - x328 =E= 0;
e35.. - b33 + b34 - b121 + b138 + b146 - b161 - x321 + x322 =E= 0;
e36.. - b34 + b35 - b122 + b139 + b147 - b162 - x322 + x323 =E= 0;
e37.. - b35 + b36 - b123 + b140 + b148 - b163 - x323 + x324 =E= 0;
e38.. - b36 + b37 - b124 + b141 + b149 - b164 - x324 + x325 =E= 0;
e39.. - b37 + b38 - b125 + b142 + b150 - b165 - x325 + x326 =E= 0;
e40.. - b38 + b39 - b126 + b143 + b151 - b166 - x326 + x327 =E= 0;
e41.. - b39 + b40 - b127 + b144 + b152 - b167 - x327 + x328 =E= 0;
e42.. b57 - b64 - b136 - b152 + b153 + b161 + x329 - x336 =E= 0;
e43.. - b57 + b58 - b129 - b145 + b154 + b162 - x329 + x330 =E= 0;
e44.. - b58 + b59 - b130 - b146 + b155 + b163 - x330 + x331 =E= 0;
e45.. - b59 + b60 - b131 - b147 + b156 + b164 - x331 + x332 =E= 0;
e46.. - b60 + b61 - b132 - b148 + b157 + b165 - x332 + x333 =E= 0;
e47.. - b61 + b62 - b133 - b149 + b158 + b166 - x333 + x334 =E= 0;
e48.. - b62 + b63 - b134 - b150 + b159 + b167 - x334 + x335 =E= 0;
e49.. - b63 + b64 - b135 - b151 + b160 + b168 - x335 + x336 =E= 0;
e50.. b17 - b24 + b169 + b177 - b192 - b208 + x337 - x344 =E= 0;
e51.. - b17 + b18 + b170 + b178 - b185 - b201 - x337 + x338 =E= 0;
e52.. - b18 + b19 + b171 + b179 - b186 - b202 - x338 + x339 =E= 0;
e53.. - b19 + b20 + b172 + b180 - b187 - b203 - x339 + x340 =E= 0;
e54.. - b20 + b21 + b173 + b181 - b188 - b204 - x340 + x341 =E= 0;
e55.. - b21 + b22 + b174 + b182 - b189 - b205 - x341 + x342 =E= 0;
e56.. - b22 + b23 + b175 + b183 - b190 - b206 - x342 + x343 =E= 0;
e57.. - b23 + b24 + b176 + b184 - b191 - b207 - x343 + x344 =E= 0;
e58.. b41 - b48 - b176 + b185 + b193 - b216 + x345 - x352 =E= 0;
e59.. - b41 + b42 - b169 + b186 + b194 - b209 - x345 + x346 =E= 0;
e60.. - b42 + b43 - b170 + b187 + b195 - b210 - x346 + x347 =E= 0;
e61.. - b43 + b44 - b171 + b188 + b196 - b211 - x347 + x348 =E= 0;
e62.. - b44 + b45 - b172 + b189 + b197 - b212 - x348 + x349 =E= 0;
e63.. - b45 + b46 - b173 + b190 + b198 - b213 - x349 + x350 =E= 0;
e64.. - b46 + b47 - b174 + b191 + b199 - b214 - x350 + x351 =E= 0;
e65.. - b47 + b48 - b175 + b192 + b200 - b215 - x351 + x352 =E= 0;
e66.. b65 - b72 - b184 - b200 + b201 + b209 + x353 - x360 =E= 0;
e67.. - b65 + b66 - b177 - b193 + b202 + b210 - x353 + x354 =E= 0;
e68.. - b66 + b67 - b178 - b194 + b203 + b211 - x354 + x355 =E= 0;
e69.. - b67 + b68 - b179 - b195 + b204 + b212 - x355 + x356 =E= 0;
e70.. - b68 + b69 - b180 - b196 + b205 + b213 - x356 + x357 =E= 0;
e71.. - b69 + b70 - b181 - b197 + b206 + b214 - x357 + x358 =E= 0;
e72.. - b70 + b71 - b182 - b198 + b207 + b215 - x358 + x359 =E= 0;
e73.. - b71 + b72 - b183 - b199 + b208 + b216 - x359 + x360 =E= 0;
e74.. - x224 + x232 + x361 - x368 =E= 0;
e75.. - x217 + x225 - x361 + x362 =E= 0;
e76.. - x218 + x226 - x362 + x363 =E= 0;
e77.. - x219 + x227 - x363 + x364 =E= 0;
e78.. - x220 + x228 - x364 + x365 =E= 0;
e79.. - x221 + x229 - x365 + x366 =E= 0;
e80.. - x222 + x230 - x366 + x367 =E= 0;
e81.. - x223 + x231 - x367 + x368 =E= 0;
e82.. - x232 + x240 + x369 - x376 =E= 0;
e83.. - x225 + x233 - x369 + x370 =E= 0;
e84.. - x226 + x234 - x370 + x371 =E= 0;
e85.. - x227 + x235 - x371 + x372 =E= 0;
e86.. - x228 + x236 - x372 + x373 =E= 0;
e87.. - x229 + x237 - x373 + x374 =E= 0;
e88.. - x230 + x238 - x374 + x375 =E= 0;
e89.. - x231 + x239 - x375 + x376 =E= 0;
e90.. x433/x450*(x450 - x443) - x240 + x377 - x384 =E= 0;
e91.. x433/x450*(x437 - x436) - x233 - x377 + x378 =E= 0;
e92.. x433/x450*(x438 - x437) - x234 - x378 + x379 =E= 0;
e93.. x433/x450*(x439 - x438) - x235 - x379 + x380 =E= 0;
e94.. x433/x450*(x440 - x439) - x236 - x380 + x381 =E= 0;
e95.. x433/x450*(x441 - x440) - x237 - x381 + x382 =E= 0;
e96.. x433/x450*(x442 - x441) - x238 - x382 + x383 =E= 0;
e97.. x433/x450*(x443 - x442) - x239 - x383 + x384 =E= 0;
e98.. - x248 + x256 + x385 - x392 =E= 0;
e99.. - x241 + x249 - x385 + x386 =E= 0;
e100.. - x242 + x250 - x386 + x387 =E= 0;
e101.. - x243 + x251 - x387 + x388 =E= 0;
e102.. - x244 + x252 - x388 + x389 =E= 0;
e103.. - x245 + x253 - x389 + x390 =E= 0;
e104.. - x246 + x254 - x390 + x391 =E= 0;
e105.. - x247 + x255 - x391 + x392 =E= 0;
e106.. - x256 + x264 + x393 - x400 =E= 0;
e107.. - x249 + x257 - x393 + x394 =E= 0;
e108.. - x250 + x258 - x394 + x395 =E= 0;
e109.. - x251 + x259 - x395 + x396 =E= 0;
e110.. - x252 + x260 - x396 + x397 =E= 0;
e111.. - x253 + x261 - x397 + x398 =E= 0;
e112.. - x254 + x262 - x398 + x399 =E= 0;
e113.. - x255 + x263 - x399 + x400 =E= 0;
e114.. x434/x450*(x450 - x443) - x264 + x401 - x408 =E= 0;
e115.. x434/x450*(x437 - x436) - x257 - x401 + x402 =E= 0;
e116.. x434/x450*(x438 - x437) - x258 - x402 + x403 =E= 0;
e117.. x434/x450*(x439 - x438) - x259 - x403 + x404 =E= 0;
e118.. x434/x450*(x440 - x439) - x260 - x404 + x405 =E= 0;
e119.. x434/x450*(x441 - x440) - x261 - x405 + x406 =E= 0;
e120.. x434/x450*(x442 - x441) - x262 - x406 + x407 =E= 0;
e121.. x434/x450*(x443 - x442) - x263 - x407 + x408 =E= 0;
e122.. - x272 + x280 + x409 - x416 =E= 0;
e123.. - x265 + x273 - x409 + x410 =E= 0;
e124.. - x266 + x274 - x410 + x411 =E= 0;
e125.. - x267 + x275 - x411 + x412 =E= 0;
e126.. - x268 + x276 - x412 + x413 =E= 0;
e127.. - x269 + x277 - x413 + x414 =E= 0;
e128.. - x270 + x278 - x414 + x415 =E= 0;
e129.. - x271 + x279 - x415 + x416 =E= 0;
e130.. - x280 + x288 + x417 - x424 =E= 0;
e131.. - x273 + x281 - x417 + x418 =E= 0;
e132.. - x274 + x282 - x418 + x419 =E= 0;
e133.. - x275 + x283 - x419 + x420 =E= 0;
e134.. - x276 + x284 - x420 + x421 =E= 0;
e135.. - x277 + x285 - x421 + x422 =E= 0;
e136.. - x278 + x286 - x422 + x423 =E= 0;
e137.. - x279 + x287 - x423 + x424 =E= 0;
e138.. x435/x450*(x450 - x443) - x288 + x425 - x432 =E= 0;
e139.. x435/x450*(x437 - x436) - x281 - x425 + x426 =E= 0;
e140.. x435/x450*(x438 - x437) - x282 - x426 + x427 =E= 0;
e141.. x435/x450*(x439 - x438) - x283 - x427 + x428 =E= 0;
e142.. x435/x450*(x440 - x439) - x284 - x428 + x429 =E= 0;
e143.. x435/x450*(x441 - x440) - x285 - x429 + x430 =E= 0;
e144.. x435/x450*(x442 - x441) - x286 - x430 + x431 =E= 0;
e145.. x435/x450*(x443 - x442) - x287 - x431 + x432 =E= 0;
e146.. b1 + b25 + b49 + b73 + b81 + b89 + b97 + b105 + b113 + x289 + x297
+ x305 =E= 1;
e147.. b9 + b33 + b57 + b121 + b129 + b137 + b145 + b153 + b161 + x313
+ x321 + x329 =E= 1;
e148.. b17 + b41 + b65 + b169 + b177 + b185 + b193 + b201 + b209 + x337
+ x345 + x353 =E= 1;
e149.. - 10*b73 - 10*b81 - 10*b89 - b97 - 10*b105 - b113
- 0.000854700854700855*x217 - 0.000746268656716418*x241
- 0.000746268656716418*x265 - x436 + x437 =G= 0;
e150.. - 10*b74 - 10*b82 - 10*b90 - b98 - 10*b106 - b114
- 0.000854700854700855*x218 - 0.000746268656716418*x242
- 0.000746268656716418*x266 - x437 + x438 =G= 0;
e151.. - 10*b75 - 10*b83 - 10*b91 - b99 - 10*b107 - b115
- 0.000854700854700855*x219 - 0.000746268656716418*x243
- 0.000746268656716418*x267 - x438 + x439 =G= 0;
e152.. - 10*b76 - 10*b84 - 10*b92 - b100 - 10*b108 - b116
- 0.000854700854700855*x220 - 0.000746268656716418*x244
- 0.000746268656716418*x268 - x439 + x440 =G= 0;
e153.. - 10*b77 - 10*b85 - 10*b93 - b101 - 10*b109 - b117
- 0.000854700854700855*x221 - 0.000746268656716418*x245
- 0.000746268656716418*x269 - x440 + x441 =G= 0;
e154.. - 10*b78 - 10*b86 - 10*b94 - b102 - 10*b110 - b118
- 0.000854700854700855*x222 - 0.000746268656716418*x246
- 0.000746268656716418*x270 - x441 + x442 =G= 0;
e155.. - 10*b79 - 10*b87 - 10*b95 - b103 - 10*b111 - b119
- 0.000854700854700855*x223 - 0.000746268656716418*x247
- 0.000746268656716418*x271 - x442 + x443 =G= 0;
e156.. - 10*b80 - 10*b88 - 10*b96 - b104 - 10*b112 - b120
- 0.000854700854700855*x224 - 0.000746268656716418*x248
- 0.000746268656716418*x272 - x443 + x450 =G= 0;
e157.. - 3*b121 - 3*b129 - 3*b137 - b145 - 3*b153 - b161
- 0.000892857142857143*x225 - 0.000775193798449612*x249
- 0.000746268656716418*x273 - x436 + x437 =G= 0;
e158.. - 3*b122 - 3*b130 - 3*b138 - b146 - 3*b154 - b162
- 0.000892857142857143*x226 - 0.000775193798449612*x250
- 0.000746268656716418*x274 - x437 + x438 =G= 0;
e159.. - 3*b123 - 3*b131 - 3*b139 - b147 - 3*b155 - b163
- 0.000892857142857143*x227 - 0.000775193798449612*x251
- 0.000746268656716418*x275 - x438 + x439 =G= 0;
e160.. - 3*b124 - 3*b132 - 3*b140 - b148 - 3*b156 - b164
- 0.000892857142857143*x228 - 0.000775193798449612*x252
- 0.000746268656716418*x276 - x439 + x440 =G= 0;
e161.. - 3*b125 - 3*b133 - 3*b141 - b149 - 3*b157 - b165
- 0.000892857142857143*x229 - 0.000775193798449612*x253
- 0.000746268656716418*x277 - x440 + x441 =G= 0;
e162.. - 3*b126 - 3*b134 - 3*b142 - b150 - 3*b158 - b166
- 0.000892857142857143*x230 - 0.000775193798449612*x254
- 0.000746268656716418*x278 - x441 + x442 =G= 0;
e163.. - 3*b127 - 3*b135 - 3*b143 - b151 - 3*b159 - b167
- 0.000892857142857143*x231 - 0.000775193798449612*x255
- 0.000746268656716418*x279 - x442 + x443 =G= 0;
e164.. - 3*b128 - 3*b136 - 3*b144 - b152 - 3*b160 - b168
- 0.000892857142857143*x232 - 0.000775193798449612*x256
- 0.000746268656716418*x280 - x443 + x450 =G= 0;
e165.. - 2*b169 - 2*b177 - 2*b185 - b193 - 2*b201 - b209
- 0.000892857142857143*x233 - 0.000537634408602151*x257
- 0.000746268656716418*x281 - x436 + x437 =G= 0;
e166.. - 2*b170 - 2*b178 - 2*b186 - b194 - 2*b202 - b210
- 0.000892857142857143*x234 - 0.000537634408602151*x258
- 0.000746268656716418*x282 - x437 + x438 =G= 0;
e167.. - 2*b171 - 2*b179 - 2*b187 - b195 - 2*b203 - b211
- 0.000892857142857143*x235 - 0.000537634408602151*x259
- 0.000746268656716418*x283 - x438 + x439 =G= 0;
e168.. - 2*b172 - 2*b180 - 2*b188 - b196 - 2*b204 - b212
- 0.000892857142857143*x236 - 0.000537634408602151*x260
- 0.000746268656716418*x284 - x439 + x440 =G= 0;
e169.. - 2*b173 - 2*b181 - 2*b189 - b197 - 2*b205 - b213
- 0.000892857142857143*x237 - 0.000537634408602151*x261
- 0.000746268656716418*x285 - x440 + x441 =G= 0;
e170.. - 2*b174 - 2*b182 - 2*b190 - b198 - 2*b206 - b214
- 0.000892857142857143*x238 - 0.000537634408602151*x262
- 0.000746268656716418*x286 - x441 + x442 =G= 0;
e171.. - 2*b175 - 2*b183 - 2*b191 - b199 - 2*b207 - b215
- 0.000892857142857143*x239 - 0.000537634408602151*x263
- 0.000746268656716418*x287 - x442 + x443 =G= 0;
e172.. - 2*b176 - 2*b184 - 2*b192 - b200 - 2*b208 - b216
- 0.000892857142857143*x240 - 0.000537634408602151*x264
- 0.000746268656716418*x288 - x443 + x450 =G= 0;
e173.. - 702000*b1 + x217 =L= 0;
e174.. - 702000*b2 + x218 =L= 0;
e175.. - 702000*b3 + x219 =L= 0;
e176.. - 702000*b4 + x220 =L= 0;
e177.. - 702000*b5 + x221 =L= 0;
e178.. - 702000*b6 + x222 =L= 0;
e179.. - 702000*b7 + x223 =L= 0;
e180.. - 702000*b8 + x224 =L= 0;
e181.. - 672000*b9 + x225 =L= 0;
e182.. - 672000*b10 + x226 =L= 0;
e183.. - 672000*b11 + x227 =L= 0;
e184.. - 672000*b12 + x228 =L= 0;
e185.. - 672000*b13 + x229 =L= 0;
e186.. - 672000*b14 + x230 =L= 0;
e187.. - 672000*b15 + x231 =L= 0;
e188.. - 672000*b16 + x232 =L= 0;
e189.. - 672000*b17 + x233 =L= 0;
e190.. - 672000*b18 + x234 =L= 0;
e191.. - 672000*b19 + x235 =L= 0;
e192.. - 672000*b20 + x236 =L= 0;
e193.. - 672000*b21 + x237 =L= 0;
e194.. - 672000*b22 + x238 =L= 0;
e195.. - 672000*b23 + x239 =L= 0;
e196.. - 672000*b24 + x240 =L= 0;
e197.. - 804000*b25 + x241 =L= 0;
e198.. - 804000*b26 + x242 =L= 0;
e199.. - 804000*b27 + x243 =L= 0;
e200.. - 804000*b28 + x244 =L= 0;
e201.. - 804000*b29 + x245 =L= 0;
e202.. - 804000*b30 + x246 =L= 0;
e203.. - 804000*b31 + x247 =L= 0;
e204.. - 804000*b32 + x248 =L= 0;
e205.. - 774000*b33 + x249 =L= 0;
e206.. - 774000*b34 + x250 =L= 0;
e207.. - 774000*b35 + x251 =L= 0;
e208.. - 774000*b36 + x252 =L= 0;
e209.. - 774000*b37 + x253 =L= 0;
e210.. - 774000*b38 + x254 =L= 0;
e211.. - 774000*b39 + x255 =L= 0;
e212.. - 774000*b40 + x256 =L= 0;
e213.. - 1116000*b41 + x257 =L= 0;
e214.. - 1116000*b42 + x258 =L= 0;
e215.. - 1116000*b43 + x259 =L= 0;
e216.. - 1116000*b44 + x260 =L= 0;
e217.. - 1116000*b45 + x261 =L= 0;
e218.. - 1116000*b46 + x262 =L= 0;
e219.. - 1116000*b47 + x263 =L= 0;
e220.. - 1116000*b48 + x264 =L= 0;
e221.. - 804000*b49 + x265 =L= 0;
e222.. - 804000*b50 + x266 =L= 0;
e223.. - 804000*b51 + x267 =L= 0;
e224.. - 804000*b52 + x268 =L= 0;
e225.. - 804000*b53 + x269 =L= 0;
e226.. - 804000*b54 + x270 =L= 0;
e227.. - 804000*b55 + x271 =L= 0;
e228.. - 804000*b56 + x272 =L= 0;
e229.. - 804000*b57 + x273 =L= 0;
e230.. - 804000*b58 + x274 =L= 0;
e231.. - 804000*b59 + x275 =L= 0;
e232.. - 804000*b60 + x276 =L= 0;
e233.. - 804000*b61 + x277 =L= 0;
e234.. - 804000*b62 + x278 =L= 0;
e235.. - 804000*b63 + x279 =L= 0;
e236.. - 804000*b64 + x280 =L= 0;
e237.. - 804000*b65 + x281 =L= 0;
e238.. - 804000*b66 + x282 =L= 0;
e239.. - 804000*b67 + x283 =L= 0;
e240.. - 804000*b68 + x284 =L= 0;
e241.. - 804000*b69 + x285 =L= 0;
e242.. - 804000*b70 + x286 =L= 0;
e243.. - 804000*b71 + x287 =L= 0;
e244.. - 804000*b72 + x288 =L= 0;
e245.. x433 - 150*x450 =G= 0;
e246.. x434 - 250*x450 =G= 0;
e247.. x435 - 500*x450 =G= 0;
e248.. x361 - x444 =L= 0;
e249.. x362 - x444 =L= 0;
e250.. x363 - x444 =L= 0;
e251.. x364 - x444 =L= 0;
e252.. x365 - x444 =L= 0;
e253.. x366 - x444 =L= 0;
e254.. x367 - x444 =L= 0;
e255.. x368 - x444 =L= 0;
e256.. x369 - x445 =L= 0;
e257.. x370 - x445 =L= 0;
e258.. x371 - x445 =L= 0;
e259.. x372 - x445 =L= 0;
e260.. x373 - x445 =L= 0;
e261.. x374 - x445 =L= 0;
e262.. x375 - x445 =L= 0;
e263.. x376 - x445 =L= 0;
e264.. x385 - x446 =L= 0;
e265.. x386 - x446 =L= 0;
e266.. x387 - x446 =L= 0;
e267.. x388 - x446 =L= 0;
e268.. x389 - x446 =L= 0;
e269.. x390 - x446 =L= 0;
e270.. x391 - x446 =L= 0;
e271.. x392 - x446 =L= 0;
e272.. x393 - x447 =L= 0;
e273.. x394 - x447 =L= 0;
e274.. x395 - x447 =L= 0;
e275.. x396 - x447 =L= 0;
e276.. x397 - x447 =L= 0;
e277.. x398 - x447 =L= 0;
e278.. x399 - x447 =L= 0;
e279.. x400 - x447 =L= 0;
e280.. x409 - x448 =L= 0;
e281.. x410 - x448 =L= 0;
e282.. x411 - x448 =L= 0;
e283.. x412 - x448 =L= 0;
e284.. x413 - x448 =L= 0;
e285.. x414 - x448 =L= 0;
e286.. x415 - x448 =L= 0;
e287.. x416 - x448 =L= 0;
e288.. x417 - x449 =L= 0;
e289.. x418 - x449 =L= 0;
e290.. x419 - x449 =L= 0;
e291.. x420 - x449 =L= 0;
e292.. x421 - x449 =L= 0;
e293.. x422 - x449 =L= 0;
e294.. x423 - x449 =L= 0;
e295.. x424 - x449 =L= 0;
e296.. b73 + b74 + b75 + b76 + b77 + b78 + b79 + b80 + b81 + b82 + b83 + b84
+ b85 + b86 + b87 + b88 + b89 + b90 + b91 + b92 + b93 + b94 + b95 + b96
+ b97 + b98 + b99 + b100 + b101 + b102 + b103 + b104 + b105 + b106
+ b107 + b108 + b109 + b110 + b111 + b112 + b113 + b114 + b115 + b116
+ b117 + b118 + b119 + b120 =L= 3;
e297.. b121 + b122 + b123 + b124 + b125 + b126 + b127 + b128 + b129 + b130
+ b131 + b132 + b133 + b134 + b135 + b136 + b137 + b138 + b139 + b140
+ b141 + b142 + b143 + b144 + b145 + b146 + b147 + b148 + b149 + b150
+ b151 + b152 + b153 + b154 + b155 + b156 + b157 + b158 + b159 + b160
+ b161 + b162 + b163 + b164 + b165 + b166 + b167 + b168 =L= 3;
e298.. b169 + b170 + b171 + b172 + b173 + b174 + b175 + b176 + b177 + b178
+ b179 + b180 + b181 + b182 + b183 + b184 + b185 + b186 + b187 + b188
+ b189 + b190 + b191 + b192 + b193 + b194 + b195 + b196 + b197 + b198
+ b199 + b200 + b201 + b202 + b203 + b204 + b205 + b206 + b207 + b208
+ b209 + b210 + b211 + b212 + b213 + b214 + b215 + b216 =L= 3;
e299.. b1 =E= 1;
* set non-default bounds
x217.up = 702000;
x218.up = 702000;
x219.up = 702000;
x220.up = 702000;
x221.up = 702000;
x222.up = 702000;
x223.up = 702000;
x224.up = 702000;
x225.up = 672000;
x226.up = 672000;
x227.up = 672000;
x228.up = 672000;
x229.up = 672000;
x230.up = 672000;
x231.up = 672000;
x232.up = 672000;
x233.up = 672000;
x234.up = 672000;
x235.up = 672000;
x236.up = 672000;
x237.up = 672000;
x238.up = 672000;
x239.up = 672000;
x240.up = 672000;
x241.up = 804000;
x242.up = 804000;
x243.up = 804000;
x244.up = 804000;
x245.up = 804000;
x246.up = 804000;
x247.up = 804000;
x248.up = 804000;
x249.up = 774000;
x250.up = 774000;
x251.up = 774000;
x252.up = 774000;
x253.up = 774000;
x254.up = 774000;
x255.up = 774000;
x256.up = 774000;
x257.up = 1116000;
x258.up = 1116000;
x259.up = 1116000;
x260.up = 1116000;
x261.up = 1116000;
x262.up = 1116000;
x263.up = 1116000;
x264.up = 1116000;
x265.up = 804000;
x266.up = 804000;
x267.up = 804000;
x268.up = 804000;
x269.up = 804000;
x270.up = 804000;
x271.up = 804000;
x272.up = 804000;
x273.up = 804000;
x274.up = 804000;
x275.up = 804000;
x276.up = 804000;
x277.up = 804000;
x278.up = 804000;
x279.up = 804000;
x280.up = 804000;
x281.up = 804000;
x282.up = 804000;
x283.up = 804000;
x284.up = 804000;
x285.up = 804000;
x286.up = 804000;
x287.up = 804000;
x288.up = 804000;
x289.fx = 0;
x290.fx = 0;
x291.fx = 0;
x292.fx = 0;
x293.fx = 0;
x294.fx = 0;
x295.fx = 0;
x296.fx = 0;
x297.fx = 0;
x298.fx = 0;
x299.fx = 0;
x300.fx = 0;
x301.fx = 0;
x302.fx = 0;
x303.fx = 0;
x304.fx = 0;
x305.fx = 0;
x306.fx = 0;
x307.fx = 0;
x308.fx = 0;
x309.fx = 0;
x310.fx = 0;
x311.fx = 0;
x312.fx = 0;
x313.fx = 0;
x314.fx = 0;
x315.fx = 0;
x316.fx = 0;
x317.fx = 0;
x318.fx = 0;
x319.fx = 0;
x320.fx = 0;
x321.fx = 0;
x322.fx = 0;
x323.fx = 0;
x324.fx = 0;
x325.fx = 0;
x326.fx = 0;
x327.fx = 0;
x328.fx = 0;
x329.fx = 0;
x330.fx = 0;
x331.fx = 0;
x332.fx = 0;
x333.fx = 0;
x334.fx = 0;
x335.fx = 0;
x336.fx = 0;
x337.fx = 0;
x338.fx = 0;
x339.fx = 0;
x340.fx = 0;
x341.fx = 0;
x342.fx = 0;
x343.fx = 0;
x344.fx = 0;
x345.fx = 0;
x346.fx = 0;
x347.fx = 0;
x348.fx = 0;
x349.fx = 0;
x350.fx = 0;
x351.fx = 0;
x352.fx = 0;
x353.fx = 0;
x354.fx = 0;
x355.fx = 0;
x356.fx = 0;
x357.fx = 0;
x358.fx = 0;
x359.fx = 0;
x360.fx = 0;
x361.up = 702000;
x362.up = 702000;
x363.up = 702000;
x364.up = 702000;
x365.up = 702000;
x366.up = 702000;
x367.up = 702000;
x368.up = 702000;
x369.up = 672000;
x370.up = 672000;
x371.up = 672000;
x372.up = 672000;
x373.up = 672000;
x374.up = 672000;
x375.up = 672000;
x376.up = 672000;
x377.up = 672000;
x378.up = 672000;
x379.up = 672000;
x380.up = 672000;
x381.up = 672000;
x382.up = 672000;
x383.up = 672000;
x384.up = 672000;
x385.up = 804000;
x386.up = 804000;
x387.up = 804000;
x388.up = 804000;
x389.up = 804000;
x390.up = 804000;
x391.up = 804000;
x392.up = 804000;
x393.up = 774000;
x394.up = 774000;
x395.up = 774000;
x396.up = 774000;
x397.up = 774000;
x398.up = 774000;
x399.up = 774000;
x400.up = 774000;
x401.up = 1116000;
x402.up = 1116000;
x403.up = 1116000;
x404.up = 1116000;
x405.up = 1116000;
x406.up = 1116000;
x407.up = 1116000;
x408.up = 1116000;
x409.up = 804000;
x410.up = 804000;
x411.up = 804000;
x412.up = 804000;
x413.up = 804000;
x414.up = 804000;
x415.up = 804000;
x416.up = 804000;
x417.up = 804000;
x418.up = 804000;
x419.up = 804000;
x420.up = 804000;
x421.up = 804000;
x422.up = 804000;
x423.up = 804000;
x424.up = 804000;
x425.up = 804000;
x426.up = 804000;
x427.up = 804000;
x428.up = 804000;
x429.up = 804000;
x430.up = 804000;
x431.up = 804000;
x432.up = 804000;
x433.up = 702000;
x434.up = 1116000;
x435.up = 804000;
x436.fx = 0;
x437.up = 600;
x438.up = 600;
x439.up = 600;
x440.up = 600;
x441.up = 600;
x442.up = 600;
x443.up = 600;
x444.up = 702000;
x445.up = 672000;
x446.up = 804000;
x447.up = 774000;
x448.up = 804000;
x449.up = 804000;
x450.lo = 200; x450.up = 600;
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