MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance multiplants_stg1
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 525.78060420 (ANTIGONE) 471.69327640 (BARON) 11415.90016000 (COUENNE) 1245.21983100 (GUROBI) 9599.37343900 (LINDO) 5101.57285000 (SCIP) 36312.50000000 (SHOT) 2165.49200500 (XPRESS) |
| Referencesⓘ | Castro, Pedro M and Novais, Augusto Q, Periodic Scheduling of Continuous Multiproduct Plants, 2009. |
| Sourceⓘ | STG_EX1.gms from minlp.org model 34 |
| Applicationⓘ | Periodic Scheduling of Continuous Multiproduct Plants |
| Added to libraryⓘ | 24 Sep 2013 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 415 |
| #Binary Variablesⓘ | 198 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 49 |
| #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ⓘ | 262 |
| #Linear Constraintsⓘ | 228 |
| #Quadratic Constraintsⓘ | 1 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 33 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 1675 |
| #Nonlinear Nonzeros in Jacobianⓘ | 175 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 301 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 1 |
| #Blocks in Hessian of Lagrangianⓘ | 1 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 49 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 49 |
| Average blocksize in Hessian of Lagrangianⓘ | 49.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 8.3333e-04 |
| Maximal coefficientⓘ | 3.0000e+05 |
| Infeasibility of initial pointⓘ | 2.5e+04 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 262 136 25 101 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 415 217 198 0 0 0 0 0
* FX 67
*
* Nonzero counts
* Total const NL DLL
* 1675 1500 175 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,x199,x200,x201,x202,x203,x204,x205,x206,x207
,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232,x233
,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245,x246
,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258,x259
,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271,x272
,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284,x285
,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297,x298
,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310,x311
,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324
,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336,x337
,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349,x350
,x351,x352,x353,x354,x355,x356,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,objvar;
Positive Variables 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,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,x401,x402,x403,x404,x405,x406
,x407,x408,x409,x410,x411,x412,x413;
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;
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;
e1.. objvar*x414 + (0.00203*x342 + 0.00203*x343)*(x401 - x400) + (0.00203*x343
+ 0.00203*x344)*(x402 - x401) + (0.00203*x344 + 0.00203*x345)*(x403 -
x402) + (0.00203*x345 + 0.00203*x346)*(x404 - x403) + (0.00203*x346 +
0.00203*x347)*(x405 - x404) + (0.00203*x347 + 0.00203*x348)*(x406 - x405)
+ (0.00203*x348 + 0.00203*x349)*(x407 - x406) + (0.00203*x349 + 0.00203*
x350)*(x408 - x407) + (0.00203*x350 + 0.00203*x351)*(x409 - x408) + (
0.00203*x351 + 0.00203*x352)*(x410 - x409) + (0.00203*x342 + 0.00203*x352)
*(x414 - x410) + (0.00203*x364 + 0.00203*x365)*(x401 - x400) + (0.00203*
x365 + 0.00203*x366)*(x402 - x401) + (0.00203*x366 + 0.00203*x367)*(x403
- x402) + (0.00203*x367 + 0.00203*x368)*(x404 - x403) + (0.00203*x368 +
0.00203*x369)*(x405 - x404) + (0.00203*x369 + 0.00203*x370)*(x406 - x405)
+ (0.00203*x370 + 0.00203*x371)*(x407 - x406) + (0.00203*x371 + 0.00203*
x372)*(x408 - x407) + (0.00203*x372 + 0.00203*x373)*(x409 - x408) + (
0.00203*x373 + 0.00203*x374)*(x410 - x409) + (0.00203*x364 + 0.00203*x374)
*(x414 - x410) + (0.00203*x386 + 0.00203*x387)*(x401 - x400) + (0.00203*
x387 + 0.00203*x388)*(x402 - x401) + (0.00203*x388 + 0.00203*x389)*(x403
- x402) + (0.00203*x389 + 0.00203*x390)*(x404 - x403) + (0.00203*x390 +
0.00203*x391)*(x405 - x404) + (0.00203*x391 + 0.00203*x392)*(x406 - x405)
+ (0.00203*x392 + 0.00203*x393)*(x407 - x406) + (0.00203*x393 + 0.00203*
x394)*(x408 - x407) + (0.00203*x394 + 0.00203*x395)*(x409 - x408) + (
0.00203*x395 + 0.00203*x396)*(x410 - x409) + (0.00203*x386 + 0.00203*x396)
*(x414 - x410) + 3800*b67 + 3800*b68 + 3800*b69 + 3800*b70 + 3800*b71
+ 3800*b72 + 3800*b73 + 3800*b74 + 3800*b75 + 3800*b76 + 3800*b77
+ 6080*b78 + 6080*b79 + 6080*b80 + 6080*b81 + 6080*b82 + 6080*b83
+ 6080*b84 + 6080*b85 + 6080*b86 + 6080*b87 + 6080*b88 + 7500*b89
+ 7500*b90 + 7500*b91 + 7500*b92 + 7500*b93 + 7500*b94 + 7500*b95
+ 7500*b96 + 7500*b97 + 7500*b98 + 7500*b99 + 2250*b100 + 2250*b101
+ 2250*b102 + 2250*b103 + 2250*b104 + 2250*b105 + 2250*b106 + 2250*b107
+ 2250*b108 + 2250*b109 + 2250*b110 + 3080*b111 + 3080*b112 + 3080*b113
+ 3080*b114 + 3080*b115 + 3080*b116 + 3080*b117 + 3080*b118 + 3080*b119
+ 3080*b120 + 3080*b121 + 5390*b122 + 5390*b123 + 5390*b124 + 5390*b125
+ 5390*b126 + 5390*b127 + 5390*b128 + 5390*b129 + 5390*b130 + 5390*b131
+ 5390*b132 + 8360*b133 + 8360*b134 + 8360*b135 + 8360*b136 + 8360*b137
+ 8360*b138 + 8360*b139 + 8360*b140 + 8360*b141 + 8360*b142 + 8360*b143
+ 760*b144 + 760*b145 + 760*b146 + 760*b147 + 760*b148 + 760*b149
+ 760*b150 + 760*b151 + 760*b152 + 760*b153 + 760*b154 + 1500*b155
+ 1500*b156 + 1500*b157 + 1500*b158 + 1500*b159 + 1500*b160 + 1500*b161
+ 1500*b162 + 1500*b163 + 1500*b164 + 1500*b165 + 3750*b166 + 3750*b167
+ 3750*b168 + 3750*b169 + 3750*b170 + 3750*b171 + 3750*b172 + 3750*b173
+ 3750*b174 + 3750*b175 + 3750*b176 + 4620*b177 + 4620*b178 + 4620*b179
+ 4620*b180 + 4620*b181 + 4620*b182 + 4620*b183 + 4620*b184 + 4620*b185
+ 4620*b186 + 4620*b187 + 770*b188 + 770*b189 + 770*b190 + 770*b191
+ 770*b192 + 770*b193 + 770*b194 + 770*b195 + 770*b196 + 770*b197
+ 770*b198 - 0.15*x397 - 0.4*x398 - 0.65*x399 + 0.1406*x411 + 0.1406*x412
+ 0.1406*x413 =E= 0;
e2.. b1 - b11 + b67 + b78 - b99 - b121 + x265 - x275 =E= 0;
e3.. - b1 + b2 + b68 + b79 - b89 - b111 - x265 + x266 =E= 0;
e4.. - b2 + b3 + b69 + b80 - b90 - b112 - x266 + x267 =E= 0;
e5.. - b3 + b4 + b70 + b81 - b91 - b113 - x267 + x268 =E= 0;
e6.. - b4 + b5 + b71 + b82 - b92 - b114 - x268 + x269 =E= 0;
e7.. - b5 + b6 + b72 + b83 - b93 - b115 - x269 + x270 =E= 0;
e8.. - b6 + b7 + b73 + b84 - b94 - b116 - x270 + x271 =E= 0;
e9.. - b7 + b8 + b74 + b85 - b95 - b117 - x271 + x272 =E= 0;
e10.. - b8 + b9 + b75 + b86 - b96 - b118 - x272 + x273 =E= 0;
e11.. - b9 + b10 + b76 + b87 - b97 - b119 - x273 + x274 =E= 0;
e12.. - b10 + b11 + b77 + b88 - b98 - b120 - x274 + x275 =E= 0;
e13.. b23 - b33 - b77 + b89 + b100 - b132 + x276 - x286 =E= 0;
e14.. - b23 + b24 - b67 + b90 + b101 - b122 - x276 + x277 =E= 0;
e15.. - b24 + b25 - b68 + b91 + b102 - b123 - x277 + x278 =E= 0;
e16.. - b25 + b26 - b69 + b92 + b103 - b124 - x278 + x279 =E= 0;
e17.. - b26 + b27 - b70 + b93 + b104 - b125 - x279 + x280 =E= 0;
e18.. - b27 + b28 - b71 + b94 + b105 - b126 - x280 + x281 =E= 0;
e19.. - b28 + b29 - b72 + b95 + b106 - b127 - x281 + x282 =E= 0;
e20.. - b29 + b30 - b73 + b96 + b107 - b128 - x282 + x283 =E= 0;
e21.. - b30 + b31 - b74 + b97 + b108 - b129 - x283 + x284 =E= 0;
e22.. - b31 + b32 - b75 + b98 + b109 - b130 - x284 + x285 =E= 0;
e23.. - b32 + b33 - b76 + b99 + b110 - b131 - x285 + x286 =E= 0;
e24.. b45 - b55 - b88 - b110 + b111 + b122 + x287 - x297 =E= 0;
e25.. - b45 + b46 - b78 - b100 + b112 + b123 - x287 + x288 =E= 0;
e26.. - b46 + b47 - b79 - b101 + b113 + b124 - x288 + x289 =E= 0;
e27.. - b47 + b48 - b80 - b102 + b114 + b125 - x289 + x290 =E= 0;
e28.. - b48 + b49 - b81 - b103 + b115 + b126 - x290 + x291 =E= 0;
e29.. - b49 + b50 - b82 - b104 + b116 + b127 - x291 + x292 =E= 0;
e30.. - b50 + b51 - b83 - b105 + b117 + b128 - x292 + x293 =E= 0;
e31.. - b51 + b52 - b84 - b106 + b118 + b129 - x293 + x294 =E= 0;
e32.. - b52 + b53 - b85 - b107 + b119 + b130 - x294 + x295 =E= 0;
e33.. - b53 + b54 - b86 - b108 + b120 + b131 - x295 + x296 =E= 0;
e34.. - b54 + b55 - b87 - b109 + b121 + b132 - x296 + x297 =E= 0;
e35.. b12 - b22 + b133 + b144 - b165 - b187 + x298 - x308 =E= 0;
e36.. - b12 + b13 + b134 + b145 - b155 - b177 - x298 + x299 =E= 0;
e37.. - b13 + b14 + b135 + b146 - b156 - b178 - x299 + x300 =E= 0;
e38.. - b14 + b15 + b136 + b147 - b157 - b179 - x300 + x301 =E= 0;
e39.. - b15 + b16 + b137 + b148 - b158 - b180 - x301 + x302 =E= 0;
e40.. - b16 + b17 + b138 + b149 - b159 - b181 - x302 + x303 =E= 0;
e41.. - b17 + b18 + b139 + b150 - b160 - b182 - x303 + x304 =E= 0;
e42.. - b18 + b19 + b140 + b151 - b161 - b183 - x304 + x305 =E= 0;
e43.. - b19 + b20 + b141 + b152 - b162 - b184 - x305 + x306 =E= 0;
e44.. - b20 + b21 + b142 + b153 - b163 - b185 - x306 + x307 =E= 0;
e45.. - b21 + b22 + b143 + b154 - b164 - b186 - x307 + x308 =E= 0;
e46.. b34 - b44 - b143 + b155 + b166 - b198 + x309 - x319 =E= 0;
e47.. - b34 + b35 - b133 + b156 + b167 - b188 - x309 + x310 =E= 0;
e48.. - b35 + b36 - b134 + b157 + b168 - b189 - x310 + x311 =E= 0;
e49.. - b36 + b37 - b135 + b158 + b169 - b190 - x311 + x312 =E= 0;
e50.. - b37 + b38 - b136 + b159 + b170 - b191 - x312 + x313 =E= 0;
e51.. - b38 + b39 - b137 + b160 + b171 - b192 - x313 + x314 =E= 0;
e52.. - b39 + b40 - b138 + b161 + b172 - b193 - x314 + x315 =E= 0;
e53.. - b40 + b41 - b139 + b162 + b173 - b194 - x315 + x316 =E= 0;
e54.. - b41 + b42 - b140 + b163 + b174 - b195 - x316 + x317 =E= 0;
e55.. - b42 + b43 - b141 + b164 + b175 - b196 - x317 + x318 =E= 0;
e56.. - b43 + b44 - b142 + b165 + b176 - b197 - x318 + x319 =E= 0;
e57.. b56 - b66 - b154 - b176 + b177 + b188 + x320 - x330 =E= 0;
e58.. - b56 + b57 - b144 - b166 + b178 + b189 - x320 + x321 =E= 0;
e59.. - b57 + b58 - b145 - b167 + b179 + b190 - x321 + x322 =E= 0;
e60.. - b58 + b59 - b146 - b168 + b180 + b191 - x322 + x323 =E= 0;
e61.. - b59 + b60 - b147 - b169 + b181 + b192 - x323 + x324 =E= 0;
e62.. - b60 + b61 - b148 - b170 + b182 + b193 - x324 + x325 =E= 0;
e63.. - b61 + b62 - b149 - b171 + b183 + b194 - x325 + x326 =E= 0;
e64.. - b62 + b63 - b150 - b172 + b184 + b195 - x326 + x327 =E= 0;
e65.. - b63 + b64 - b151 - b173 + b185 + b196 - x327 + x328 =E= 0;
e66.. - b64 + b65 - b152 - b174 + b186 + b197 - x328 + x329 =E= 0;
e67.. - b65 + b66 - b153 - b175 + b187 + b198 - x329 + x330 =E= 0;
e68.. - x209 + x220 + x331 - x341 =E= 0;
e69.. - x199 + x210 - x331 + x332 =E= 0;
e70.. - x200 + x211 - x332 + x333 =E= 0;
e71.. - x201 + x212 - x333 + x334 =E= 0;
e72.. - x202 + x213 - x334 + x335 =E= 0;
e73.. - x203 + x214 - x335 + x336 =E= 0;
e74.. - x204 + x215 - x336 + x337 =E= 0;
e75.. - x205 + x216 - x337 + x338 =E= 0;
e76.. - x206 + x217 - x338 + x339 =E= 0;
e77.. - x207 + x218 - x339 + x340 =E= 0;
e78.. - x208 + x219 - x340 + x341 =E= 0;
e79.. x397/x414*(x414 - x410) - x220 + x342 - x352 =E= 0;
e80.. x397/x414*(x401 - x400) - x210 - x342 + x343 =E= 0;
e81.. x397/x414*(x402 - x401) - x211 - x343 + x344 =E= 0;
e82.. x397/x414*(x403 - x402) - x212 - x344 + x345 =E= 0;
e83.. x397/x414*(x404 - x403) - x213 - x345 + x346 =E= 0;
e84.. x397/x414*(x405 - x404) - x214 - x346 + x347 =E= 0;
e85.. x397/x414*(x406 - x405) - x215 - x347 + x348 =E= 0;
e86.. x397/x414*(x407 - x406) - x216 - x348 + x349 =E= 0;
e87.. x397/x414*(x408 - x407) - x217 - x349 + x350 =E= 0;
e88.. x397/x414*(x409 - x408) - x218 - x350 + x351 =E= 0;
e89.. x397/x414*(x410 - x409) - x219 - x351 + x352 =E= 0;
e90.. - x231 + x242 + x353 - x363 =E= 0;
e91.. - x221 + x232 - x353 + x354 =E= 0;
e92.. - x222 + x233 - x354 + x355 =E= 0;
e93.. - x223 + x234 - x355 + x356 =E= 0;
e94.. - x224 + x235 - x356 + x357 =E= 0;
e95.. - x225 + x236 - x357 + x358 =E= 0;
e96.. - x226 + x237 - x358 + x359 =E= 0;
e97.. - x227 + x238 - x359 + x360 =E= 0;
e98.. - x228 + x239 - x360 + x361 =E= 0;
e99.. - x229 + x240 - x361 + x362 =E= 0;
e100.. - x230 + x241 - x362 + x363 =E= 0;
e101.. x398/x414*(x414 - x410) - x242 + x364 - x374 =E= 0;
e102.. x398/x414*(x401 - x400) - x232 - x364 + x365 =E= 0;
e103.. x398/x414*(x402 - x401) - x233 - x365 + x366 =E= 0;
e104.. x398/x414*(x403 - x402) - x234 - x366 + x367 =E= 0;
e105.. x398/x414*(x404 - x403) - x235 - x367 + x368 =E= 0;
e106.. x398/x414*(x405 - x404) - x236 - x368 + x369 =E= 0;
e107.. x398/x414*(x406 - x405) - x237 - x369 + x370 =E= 0;
e108.. x398/x414*(x407 - x406) - x238 - x370 + x371 =E= 0;
e109.. x398/x414*(x408 - x407) - x239 - x371 + x372 =E= 0;
e110.. x398/x414*(x409 - x408) - x240 - x372 + x373 =E= 0;
e111.. x398/x414*(x410 - x409) - x241 - x373 + x374 =E= 0;
e112.. - x253 + x264 + x375 - x385 =E= 0;
e113.. - x243 + x254 - x375 + x376 =E= 0;
e114.. - x244 + x255 - x376 + x377 =E= 0;
e115.. - x245 + x256 - x377 + x378 =E= 0;
e116.. - x246 + x257 - x378 + x379 =E= 0;
e117.. - x247 + x258 - x379 + x380 =E= 0;
e118.. - x248 + x259 - x380 + x381 =E= 0;
e119.. - x249 + x260 - x381 + x382 =E= 0;
e120.. - x250 + x261 - x382 + x383 =E= 0;
e121.. - x251 + x262 - x383 + x384 =E= 0;
e122.. - x252 + x263 - x384 + x385 =E= 0;
e123.. x399/x414*(x414 - x410) - x264 + x386 - x396 =E= 0;
e124.. x399/x414*(x401 - x400) - x254 - x386 + x387 =E= 0;
e125.. x399/x414*(x402 - x401) - x255 - x387 + x388 =E= 0;
e126.. x399/x414*(x403 - x402) - x256 - x388 + x389 =E= 0;
e127.. x399/x414*(x404 - x403) - x257 - x389 + x390 =E= 0;
e128.. x399/x414*(x405 - x404) - x258 - x390 + x391 =E= 0;
e129.. x399/x414*(x406 - x405) - x259 - x391 + x392 =E= 0;
e130.. x399/x414*(x407 - x406) - x260 - x392 + x393 =E= 0;
e131.. x399/x414*(x408 - x407) - x261 - x393 + x394 =E= 0;
e132.. x399/x414*(x409 - x408) - x262 - x394 + x395 =E= 0;
e133.. x399/x414*(x410 - x409) - x263 - x395 + x396 =E= 0;
e134.. b1 + b23 + b45 + b67 + b78 + b89 + b100 + b111 + b122 + x265 + x276
+ x287 =E= 1;
e135.. b12 + b34 + b56 + b133 + b144 + b155 + b166 + b177 + b188 + x298
+ x309 + x320 =E= 1;
e136.. - 5*b67 - 8*b78 - 10*b89 - 3*b100 - 4*b111 - 7*b122 - 0.00125*x199
- 0.000833333333333333*x221 - 0.001*x243 - x400 + x401 =G= 0;
e137.. - 5*b68 - 8*b79 - 10*b90 - 3*b101 - 4*b112 - 7*b123 - 0.00125*x200
- 0.000833333333333333*x222 - 0.001*x244 - x401 + x402 =G= 0;
e138.. - 5*b69 - 8*b80 - 10*b91 - 3*b102 - 4*b113 - 7*b124 - 0.00125*x201
- 0.000833333333333333*x223 - 0.001*x245 - x402 + x403 =G= 0;
e139.. - 5*b70 - 8*b81 - 10*b92 - 3*b103 - 4*b114 - 7*b125 - 0.00125*x202
- 0.000833333333333333*x224 - 0.001*x246 - x403 + x404 =G= 0;
e140.. - 5*b71 - 8*b82 - 10*b93 - 3*b104 - 4*b115 - 7*b126 - 0.00125*x203
- 0.000833333333333333*x225 - 0.001*x247 - x404 + x405 =G= 0;
e141.. - 5*b72 - 8*b83 - 10*b94 - 3*b105 - 4*b116 - 7*b127 - 0.00125*x204
- 0.000833333333333333*x226 - 0.001*x248 - x405 + x406 =G= 0;
e142.. - 5*b73 - 8*b84 - 10*b95 - 3*b106 - 4*b117 - 7*b128 - 0.00125*x205
- 0.000833333333333333*x227 - 0.001*x249 - x406 + x407 =G= 0;
e143.. - 5*b74 - 8*b85 - 10*b96 - 3*b107 - 4*b118 - 7*b129 - 0.00125*x206
- 0.000833333333333333*x228 - 0.001*x250 - x407 + x408 =G= 0;
e144.. - 5*b75 - 8*b86 - 10*b97 - 3*b108 - 4*b119 - 7*b130 - 0.00125*x207
- 0.000833333333333333*x229 - 0.001*x251 - x408 + x409 =G= 0;
e145.. - 5*b76 - 8*b87 - 10*b98 - 3*b109 - 4*b120 - 7*b131 - 0.00125*x208
- 0.000833333333333333*x230 - 0.001*x252 - x409 + x410 =G= 0;
e146.. - 5*b77 - 8*b88 - 10*b99 - 3*b110 - 4*b121 - 7*b132 - 0.00125*x209
- 0.000833333333333333*x231 - 0.001*x253 - x410 + x414 =G= 0;
e147.. - 11*b133 - b144 - 2*b155 - 5*b166 - 6*b177 - b188
- 0.00111111111111111*x210 - 0.00166666666666667*x232
- 0.000909090909090909*x254 - x400 + x401 =G= 0;
e148.. - 11*b134 - b145 - 2*b156 - 5*b167 - 6*b178 - b189
- 0.00111111111111111*x211 - 0.00166666666666667*x233
- 0.000909090909090909*x255 - x401 + x402 =G= 0;
e149.. - 11*b135 - b146 - 2*b157 - 5*b168 - 6*b179 - b190
- 0.00111111111111111*x212 - 0.00166666666666667*x234
- 0.000909090909090909*x256 - x402 + x403 =G= 0;
e150.. - 11*b136 - b147 - 2*b158 - 5*b169 - 6*b180 - b191
- 0.00111111111111111*x213 - 0.00166666666666667*x235
- 0.000909090909090909*x257 - x403 + x404 =G= 0;
e151.. - 11*b137 - b148 - 2*b159 - 5*b170 - 6*b181 - b192
- 0.00111111111111111*x214 - 0.00166666666666667*x236
- 0.000909090909090909*x258 - x404 + x405 =G= 0;
e152.. - 11*b138 - b149 - 2*b160 - 5*b171 - 6*b182 - b193
- 0.00111111111111111*x215 - 0.00166666666666667*x237
- 0.000909090909090909*x259 - x405 + x406 =G= 0;
e153.. - 11*b139 - b150 - 2*b161 - 5*b172 - 6*b183 - b194
- 0.00111111111111111*x216 - 0.00166666666666667*x238
- 0.000909090909090909*x260 - x406 + x407 =G= 0;
e154.. - 11*b140 - b151 - 2*b162 - 5*b173 - 6*b184 - b195
- 0.00111111111111111*x217 - 0.00166666666666667*x239
- 0.000909090909090909*x261 - x407 + x408 =G= 0;
e155.. - 11*b141 - b152 - 2*b163 - 5*b174 - 6*b185 - b196
- 0.00111111111111111*x218 - 0.00166666666666667*x240
- 0.000909090909090909*x262 - x408 + x409 =G= 0;
e156.. - 11*b142 - b153 - 2*b164 - 5*b175 - 6*b186 - b197
- 0.00111111111111111*x219 - 0.00166666666666667*x241
- 0.000909090909090909*x263 - x409 + x410 =G= 0;
e157.. - 11*b143 - b154 - 2*b165 - 5*b176 - 6*b187 - b198
- 0.00111111111111111*x220 - 0.00166666666666667*x242
- 0.000909090909090909*x264 - x410 + x414 =G= 0;
e158.. - 200000*b1 + x199 =L= 0;
e159.. - 200000*b2 + x200 =L= 0;
e160.. - 200000*b3 + x201 =L= 0;
e161.. - 200000*b4 + x202 =L= 0;
e162.. - 200000*b5 + x203 =L= 0;
e163.. - 200000*b6 + x204 =L= 0;
e164.. - 200000*b7 + x205 =L= 0;
e165.. - 200000*b8 + x206 =L= 0;
e166.. - 200000*b9 + x207 =L= 0;
e167.. - 200000*b10 + x208 =L= 0;
e168.. - 200000*b11 + x209 =L= 0;
e169.. - 225000*b12 + x210 =L= 0;
e170.. - 225000*b13 + x211 =L= 0;
e171.. - 225000*b14 + x212 =L= 0;
e172.. - 225000*b15 + x213 =L= 0;
e173.. - 225000*b16 + x214 =L= 0;
e174.. - 225000*b17 + x215 =L= 0;
e175.. - 225000*b18 + x216 =L= 0;
e176.. - 225000*b19 + x217 =L= 0;
e177.. - 225000*b20 + x218 =L= 0;
e178.. - 225000*b21 + x219 =L= 0;
e179.. - 225000*b22 + x220 =L= 0;
e180.. - 300000*b23 + x221 =L= 0;
e181.. - 300000*b24 + x222 =L= 0;
e182.. - 300000*b25 + x223 =L= 0;
e183.. - 300000*b26 + x224 =L= 0;
e184.. - 300000*b27 + x225 =L= 0;
e185.. - 300000*b28 + x226 =L= 0;
e186.. - 300000*b29 + x227 =L= 0;
e187.. - 300000*b30 + x228 =L= 0;
e188.. - 300000*b31 + x229 =L= 0;
e189.. - 300000*b32 + x230 =L= 0;
e190.. - 300000*b33 + x231 =L= 0;
e191.. - 150000*b34 + x232 =L= 0;
e192.. - 150000*b35 + x233 =L= 0;
e193.. - 150000*b36 + x234 =L= 0;
e194.. - 150000*b37 + x235 =L= 0;
e195.. - 150000*b38 + x236 =L= 0;
e196.. - 150000*b39 + x237 =L= 0;
e197.. - 150000*b40 + x238 =L= 0;
e198.. - 150000*b41 + x239 =L= 0;
e199.. - 150000*b42 + x240 =L= 0;
e200.. - 150000*b43 + x241 =L= 0;
e201.. - 150000*b44 + x242 =L= 0;
e202.. - 250000*b45 + x243 =L= 0;
e203.. - 250000*b46 + x244 =L= 0;
e204.. - 250000*b47 + x245 =L= 0;
e205.. - 250000*b48 + x246 =L= 0;
e206.. - 250000*b49 + x247 =L= 0;
e207.. - 250000*b50 + x248 =L= 0;
e208.. - 250000*b51 + x249 =L= 0;
e209.. - 250000*b52 + x250 =L= 0;
e210.. - 250000*b53 + x251 =L= 0;
e211.. - 250000*b54 + x252 =L= 0;
e212.. - 250000*b55 + x253 =L= 0;
e213.. - 275000*b56 + x254 =L= 0;
e214.. - 275000*b57 + x255 =L= 0;
e215.. - 275000*b58 + x256 =L= 0;
e216.. - 275000*b59 + x257 =L= 0;
e217.. - 275000*b60 + x258 =L= 0;
e218.. - 275000*b61 + x259 =L= 0;
e219.. - 275000*b62 + x260 =L= 0;
e220.. - 275000*b63 + x261 =L= 0;
e221.. - 275000*b64 + x262 =L= 0;
e222.. - 275000*b65 + x263 =L= 0;
e223.. - 275000*b66 + x264 =L= 0;
e224.. x397 - 50*x414 =G= 0;
e225.. x398 - 100*x414 =G= 0;
e226.. x399 - 250*x414 =G= 0;
e227.. x331 - x411 =L= 0;
e228.. x332 - x411 =L= 0;
e229.. x333 - x411 =L= 0;
e230.. x334 - x411 =L= 0;
e231.. x335 - x411 =L= 0;
e232.. x336 - x411 =L= 0;
e233.. x337 - x411 =L= 0;
e234.. x338 - x411 =L= 0;
e235.. x339 - x411 =L= 0;
e236.. x340 - x411 =L= 0;
e237.. x341 - x411 =L= 0;
e238.. x353 - x412 =L= 0;
e239.. x354 - x412 =L= 0;
e240.. x355 - x412 =L= 0;
e241.. x356 - x412 =L= 0;
e242.. x357 - x412 =L= 0;
e243.. x358 - x412 =L= 0;
e244.. x359 - x412 =L= 0;
e245.. x360 - x412 =L= 0;
e246.. x361 - x412 =L= 0;
e247.. x362 - x412 =L= 0;
e248.. x363 - x412 =L= 0;
e249.. x375 - x413 =L= 0;
e250.. x376 - x413 =L= 0;
e251.. x377 - x413 =L= 0;
e252.. x378 - x413 =L= 0;
e253.. x379 - x413 =L= 0;
e254.. x380 - x413 =L= 0;
e255.. x381 - x413 =L= 0;
e256.. x382 - x413 =L= 0;
e257.. x383 - x413 =L= 0;
e258.. x384 - x413 =L= 0;
e259.. x385 - x413 =L= 0;
e260.. 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 =L= 3;
e261.. 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 =L= 3;
e262.. b1 =E= 1;
* set non-default bounds
x199.up = 200000;
x200.up = 200000;
x201.up = 200000;
x202.up = 200000;
x203.up = 200000;
x204.up = 200000;
x205.up = 200000;
x206.up = 200000;
x207.up = 200000;
x208.up = 200000;
x209.up = 200000;
x210.up = 225000;
x211.up = 225000;
x212.up = 225000;
x213.up = 225000;
x214.up = 225000;
x215.up = 225000;
x216.up = 225000;
x217.up = 225000;
x218.up = 225000;
x219.up = 225000;
x220.up = 225000;
x221.up = 300000;
x222.up = 300000;
x223.up = 300000;
x224.up = 300000;
x225.up = 300000;
x226.up = 300000;
x227.up = 300000;
x228.up = 300000;
x229.up = 300000;
x230.up = 300000;
x231.up = 300000;
x232.up = 150000;
x233.up = 150000;
x234.up = 150000;
x235.up = 150000;
x236.up = 150000;
x237.up = 150000;
x238.up = 150000;
x239.up = 150000;
x240.up = 150000;
x241.up = 150000;
x242.up = 150000;
x243.up = 250000;
x244.up = 250000;
x245.up = 250000;
x246.up = 250000;
x247.up = 250000;
x248.up = 250000;
x249.up = 250000;
x250.up = 250000;
x251.up = 250000;
x252.up = 250000;
x253.up = 250000;
x254.up = 275000;
x255.up = 275000;
x256.up = 275000;
x257.up = 275000;
x258.up = 275000;
x259.up = 275000;
x260.up = 275000;
x261.up = 275000;
x262.up = 275000;
x263.up = 275000;
x264.up = 275000;
x265.fx = 0;
x266.fx = 0;
x267.fx = 0;
x268.fx = 0;
x269.fx = 0;
x270.fx = 0;
x271.fx = 0;
x272.fx = 0;
x273.fx = 0;
x274.fx = 0;
x275.fx = 0;
x276.fx = 0;
x277.fx = 0;
x278.fx = 0;
x279.fx = 0;
x280.fx = 0;
x281.fx = 0;
x282.fx = 0;
x283.fx = 0;
x284.fx = 0;
x285.fx = 0;
x286.fx = 0;
x287.fx = 0;
x288.fx = 0;
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.up = 200000;
x332.up = 200000;
x333.up = 200000;
x334.up = 200000;
x335.up = 200000;
x336.up = 200000;
x337.up = 200000;
x338.up = 200000;
x339.up = 200000;
x340.up = 200000;
x341.up = 200000;
x342.up = 225000;
x343.up = 225000;
x344.up = 225000;
x345.up = 225000;
x346.up = 225000;
x347.up = 225000;
x348.up = 225000;
x349.up = 225000;
x350.up = 225000;
x351.up = 225000;
x352.up = 225000;
x353.up = 300000;
x354.up = 300000;
x355.up = 300000;
x356.up = 300000;
x357.up = 300000;
x358.up = 300000;
x359.up = 300000;
x360.up = 300000;
x361.up = 300000;
x362.up = 300000;
x363.up = 300000;
x364.up = 150000;
x365.up = 150000;
x366.up = 150000;
x367.up = 150000;
x368.up = 150000;
x369.up = 150000;
x370.up = 150000;
x371.up = 150000;
x372.up = 150000;
x373.up = 150000;
x374.up = 150000;
x375.up = 250000;
x376.up = 250000;
x377.up = 250000;
x378.up = 250000;
x379.up = 250000;
x380.up = 250000;
x381.up = 250000;
x382.up = 250000;
x383.up = 250000;
x384.up = 250000;
x385.up = 250000;
x386.up = 275000;
x387.up = 275000;
x388.up = 275000;
x389.up = 275000;
x390.up = 275000;
x391.up = 275000;
x392.up = 275000;
x393.up = 275000;
x394.up = 275000;
x395.up = 275000;
x396.up = 275000;
x397.up = 225000;
x398.up = 300000;
x399.up = 275000;
x400.fx = 0;
x401.up = 250;
x402.up = 250;
x403.up = 250;
x404.up = 250;
x405.up = 250;
x406.up = 250;
x407.up = 250;
x408.up = 250;
x409.up = 250;
x410.up = 250;
x411.up = 200000;
x412.up = 300000;
x413.up = 250000;
x414.lo = 100; x414.up = 250;
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