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Instance multiplants_stg1a

Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
390.96552230 p1 ( gdx sol )
(infeas: 4e-11)
Other points (infeas > 1e-08)  
Dual Bounds
550.17778440 (ANTIGONE)
1059.84048400 (BARON)
9788.83663600 (COUENNE)
6424.82239400 (LINDO)
4221.96579600 (SCIP)
660.80150020 (SHOT)
References Castro, Pedro M and Novais, Augusto Q, Periodic Scheduling of Continuous Multiproduct Plants, 2009.
Source STG_EX1a.gms from minlp.org model 34
Application Periodic Scheduling of Continuous Multiproduct Plants
Added to library 24 Sep 2013
Problem type MBNLP
#Variables 424
#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 250
#Linear Constraints 225
#Quadratic Constraints 1
#Polynomial Constraints 0
#Signomial Constraints 24
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 1689
#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 8.3333e-04
Maximal coefficient 3.0000e+05
Infeasibility of initial point 2.5e+04
Sparsity Jacobian Sparsity of Objective Gradient and Jacobian
Sparsity Hessian of Lagrangian Sparsity of Hessian of Lagrangian

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        250      125       27       98        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        424      208      216        0        0        0        0        0
*  FX     73
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1689     1562      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,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,x413,x414,x415,x416,x417
          ,x418,x419,x420,x421,x422;

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;


e1.. objvar*x423 + (0.00203*x369 + 0.00203*x370)*(x413 - x412) + (0.00203*x370
      + 0.00203*x371)*(x414 - x413) + (0.00203*x371 + 0.00203*x372)*(x415 - 
     x414) + (0.00203*x372 + 0.00203*x373)*(x416 - x415) + (0.00203*x373 + 
     0.00203*x374)*(x417 - x416) + (0.00203*x374 + 0.00203*x375)*(x418 - x417)
      + (0.00203*x375 + 0.00203*x376)*(x419 - x418) + (0.00203*x369 + 0.00203*
     x376)*(x423 - x419) + (0.00203*x385 + 0.00203*x386)*(x413 - x412) + (
     0.00203*x386 + 0.00203*x387)*(x414 - x413) + (0.00203*x387 + 0.00203*x388)
     *(x415 - x414) + (0.00203*x388 + 0.00203*x389)*(x416 - x415) + (0.00203*
     x389 + 0.00203*x390)*(x417 - x416) + (0.00203*x390 + 0.00203*x391)*(x418
      - x417) + (0.00203*x391 + 0.00203*x392)*(x419 - x418) + (0.00203*x385 + 
     0.00203*x392)*(x423 - x419) + (0.00203*x401 + 0.00203*x402)*(x413 - x412)
      + (0.00203*x402 + 0.00203*x403)*(x414 - x413) + (0.00203*x403 + 0.00203*
     x404)*(x415 - x414) + (0.00203*x404 + 0.00203*x405)*(x416 - x415) + (
     0.00203*x405 + 0.00203*x406)*(x417 - x416) + (0.00203*x406 + 0.00203*x407)
     *(x418 - x417) + (0.00203*x407 + 0.00203*x408)*(x419 - x418) + (0.00203*
     x401 + 0.00203*x408)*(x423 - x419) + 3800*b73 + 3800*b74 + 3800*b75
      + 3800*b76 + 3800*b77 + 3800*b78 + 3800*b79 + 3800*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 + 2250*b97 + 2250*b98 + 2250*b99
      + 2250*b100 + 2250*b101 + 2250*b102 + 2250*b103 + 2250*b104 + 3080*b105
      + 3080*b106 + 3080*b107 + 3080*b108 + 3080*b109 + 3080*b110 + 3080*b111
      + 3080*b112 + 5390*b113 + 5390*b114 + 5390*b115 + 5390*b116 + 5390*b117
      + 5390*b118 + 5390*b119 + 5390*b120 + 6840*b121 + 6840*b122 + 6840*b123
      + 6840*b124 + 6840*b125 + 6840*b126 + 6840*b127 + 6840*b128 + 8360*b129
      + 8360*b130 + 8360*b131 + 8360*b132 + 8360*b133 + 8360*b134 + 8360*b135
      + 8360*b136 + 3750*b137 + 3750*b138 + 3750*b139 + 3750*b140 + 3750*b141
      + 3750*b142 + 3750*b143 + 3750*b144 + 5250*b145 + 5250*b146 + 5250*b147
      + 5250*b148 + 5250*b149 + 5250*b150 + 5250*b151 + 5250*b152 + 4620*b153
      + 4620*b154 + 4620*b155 + 4620*b156 + 4620*b157 + 4620*b158 + 4620*b159
      + 4620*b160 + 3080*b161 + 3080*b162 + 3080*b163 + 3080*b164 + 3080*b165
      + 3080*b166 + 3080*b167 + 3080*b168 + 8360*b169 + 8360*b170 + 8360*b171
      + 8360*b172 + 8360*b173 + 8360*b174 + 8360*b175 + 8360*b176 + 760*b177
      + 760*b178 + 760*b179 + 760*b180 + 760*b181 + 760*b182 + 760*b183
      + 760*b184 + 1500*b185 + 1500*b186 + 1500*b187 + 1500*b188 + 1500*b189
      + 1500*b190 + 1500*b191 + 1500*b192 + 3750*b193 + 3750*b194 + 3750*b195
      + 3750*b196 + 3750*b197 + 3750*b198 + 3750*b199 + 3750*b200 + 4620*b201
      + 4620*b202 + 4620*b203 + 4620*b204 + 4620*b205 + 4620*b206 + 4620*b207
      + 4620*b208 + 770*b209 + 770*b210 + 770*b211 + 770*b212 + 770*b213
      + 770*b214 + 770*b215 + 770*b216 - 0.15*x409 - 0.4*x410 - 0.65*x411
      + 0.1406*x420 + 0.1406*x421 + 0.1406*x422 =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 + x240 + x361 - x368 =E= 0;

e75..  - x217 - x225 + x233 - x361 + x362 =E= 0;

e76..  - x218 - x226 + x234 - x362 + x363 =E= 0;

e77..  - x219 - x227 + x235 - x363 + x364 =E= 0;

e78..  - x220 - x228 + x236 - x364 + x365 =E= 0;

e79..  - x221 - x229 + x237 - x365 + x366 =E= 0;

e80..  - x222 - x230 + x238 - x366 + x367 =E= 0;

e81..  - x223 - x231 + x239 - x367 + x368 =E= 0;

e82.. x409/x423*(x423 - x419) - x240 + x369 - x376 =E= 0;

e83.. x409/x423*(x413 - x412) - x233 - x369 + x370 =E= 0;

e84.. x409/x423*(x414 - x413) - x234 - x370 + x371 =E= 0;

e85.. x409/x423*(x415 - x414) - x235 - x371 + x372 =E= 0;

e86.. x409/x423*(x416 - x415) - x236 - x372 + x373 =E= 0;

e87.. x409/x423*(x417 - x416) - x237 - x373 + x374 =E= 0;

e88.. x409/x423*(x418 - x417) - x238 - x374 + x375 =E= 0;

e89.. x409/x423*(x419 - x418) - x239 - x375 + x376 =E= 0;

e90..  - x248 - x256 + x264 + x377 - x384 =E= 0;

e91..  - x241 - x249 + x257 - x377 + x378 =E= 0;

e92..  - x242 - x250 + x258 - x378 + x379 =E= 0;

e93..  - x243 - x251 + x259 - x379 + x380 =E= 0;

e94..  - x244 - x252 + x260 - x380 + x381 =E= 0;

e95..  - x245 - x253 + x261 - x381 + x382 =E= 0;

e96..  - x246 - x254 + x262 - x382 + x383 =E= 0;

e97..  - x247 - x255 + x263 - x383 + x384 =E= 0;

e98.. x410/x423*(x423 - x419) - x264 + x385 - x392 =E= 0;

e99.. x410/x423*(x413 - x412) - x257 - x385 + x386 =E= 0;

e100.. x410/x423*(x414 - x413) - x258 - x386 + x387 =E= 0;

e101.. x410/x423*(x415 - x414) - x259 - x387 + x388 =E= 0;

e102.. x410/x423*(x416 - x415) - x260 - x388 + x389 =E= 0;

e103.. x410/x423*(x417 - x416) - x261 - x389 + x390 =E= 0;

e104.. x410/x423*(x418 - x417) - x262 - x390 + x391 =E= 0;

e105.. x410/x423*(x419 - x418) - x263 - x391 + x392 =E= 0;

e106..  - x272 - x280 + x288 + x393 - x400 =E= 0;

e107..  - x265 - x273 + x281 - x393 + x394 =E= 0;

e108..  - x266 - x274 + x282 - x394 + x395 =E= 0;

e109..  - x267 - x275 + x283 - x395 + x396 =E= 0;

e110..  - x268 - x276 + x284 - x396 + x397 =E= 0;

e111..  - x269 - x277 + x285 - x397 + x398 =E= 0;

e112..  - x270 - x278 + x286 - x398 + x399 =E= 0;

e113..  - x271 - x279 + x287 - x399 + x400 =E= 0;

e114.. x411/x423*(x423 - x419) - x288 + x401 - x408 =E= 0;

e115.. x411/x423*(x413 - x412) - x281 - x401 + x402 =E= 0;

e116.. x411/x423*(x414 - x413) - x282 - x402 + x403 =E= 0;

e117.. x411/x423*(x415 - x414) - x283 - x403 + x404 =E= 0;

e118.. x411/x423*(x416 - x415) - x284 - x404 + x405 =E= 0;

e119.. x411/x423*(x417 - x416) - x285 - x405 + x406 =E= 0;

e120.. x411/x423*(x418 - x417) - x286 - x406 + x407 =E= 0;

e121.. x411/x423*(x419 - x418) - x287 - x407 + x408 =E= 0;

e122..    b1 + b25 + b49 + b73 + b81 + b89 + b97 + b105 + b113 + x289 + x297
        + x305 =E= 1;

e123..    b9 + b33 + b57 + b121 + b129 + b137 + b145 + b153 + b161 + x313
        + x321 + x329 =E= 1;

e124..    b17 + b41 + b65 + b169 + b177 + b185 + b193 + b201 + b209 + x337
        + x345 + x353 =E= 1;

e125..  - 5*b73 - 8*b81 - 10*b89 - 3*b97 - 4*b105 - 7*b113 - 0.00125*x217
        - 0.000833333333333333*x241 - 0.001*x265 - x412 + x413 =G= 0;

e126..  - 5*b74 - 8*b82 - 10*b90 - 3*b98 - 4*b106 - 7*b114 - 0.00125*x218
        - 0.000833333333333333*x242 - 0.001*x266 - x413 + x414 =G= 0;

e127..  - 5*b75 - 8*b83 - 10*b91 - 3*b99 - 4*b107 - 7*b115 - 0.00125*x219
        - 0.000833333333333333*x243 - 0.001*x267 - x414 + x415 =G= 0;

e128..  - 5*b76 - 8*b84 - 10*b92 - 3*b100 - 4*b108 - 7*b116 - 0.00125*x220
        - 0.000833333333333333*x244 - 0.001*x268 - x415 + x416 =G= 0;

e129..  - 5*b77 - 8*b85 - 10*b93 - 3*b101 - 4*b109 - 7*b117 - 0.00125*x221
        - 0.000833333333333333*x245 - 0.001*x269 - x416 + x417 =G= 0;

e130..  - 5*b78 - 8*b86 - 10*b94 - 3*b102 - 4*b110 - 7*b118 - 0.00125*x222
        - 0.000833333333333333*x246 - 0.001*x270 - x417 + x418 =G= 0;

e131..  - 5*b79 - 8*b87 - 10*b95 - 3*b103 - 4*b111 - 7*b119 - 0.00125*x223
        - 0.000833333333333333*x247 - 0.001*x271 - x418 + x419 =G= 0;

e132..  - 5*b80 - 8*b88 - 10*b96 - 3*b104 - 4*b112 - 7*b120 - 0.00125*x224
        - 0.000833333333333333*x248 - 0.001*x272 - x419 + x423 =G= 0;

e133..  - 9*b121 - 11*b129 - 5*b137 - 7*b145 - 6*b153 - 4*b161 - 0.0025*x225
        - 0.002*x249 - 0.00222222222222222*x273 - x412 + x413 =G= 0;

e134..  - 9*b122 - 11*b130 - 5*b138 - 7*b146 - 6*b154 - 4*b162 - 0.0025*x226
        - 0.002*x250 - 0.00222222222222222*x274 - x413 + x414 =G= 0;

e135..  - 9*b123 - 11*b131 - 5*b139 - 7*b147 - 6*b155 - 4*b163 - 0.0025*x227
        - 0.002*x251 - 0.00222222222222222*x275 - x414 + x415 =G= 0;

e136..  - 9*b124 - 11*b132 - 5*b140 - 7*b148 - 6*b156 - 4*b164 - 0.0025*x228
        - 0.002*x252 - 0.00222222222222222*x276 - x415 + x416 =G= 0;

e137..  - 9*b125 - 11*b133 - 5*b141 - 7*b149 - 6*b157 - 4*b165 - 0.0025*x229
        - 0.002*x253 - 0.00222222222222222*x277 - x416 + x417 =G= 0;

e138..  - 9*b126 - 11*b134 - 5*b142 - 7*b150 - 6*b158 - 4*b166 - 0.0025*x230
        - 0.002*x254 - 0.00222222222222222*x278 - x417 + x418 =G= 0;

e139..  - 9*b127 - 11*b135 - 5*b143 - 7*b151 - 6*b159 - 4*b167 - 0.0025*x231
        - 0.002*x255 - 0.00222222222222222*x279 - x418 + x419 =G= 0;

e140..  - 9*b128 - 11*b136 - 5*b144 - 7*b152 - 6*b160 - 4*b168 - 0.0025*x232
        - 0.002*x256 - 0.00222222222222222*x280 - x419 + x423 =G= 0;

e141..  - 11*b169 - b177 - 2*b185 - 5*b193 - 6*b201 - b209
        - 0.00111111111111111*x233 - 0.00166666666666667*x257
        - 0.000909090909090909*x281 - x412 + x413 =G= 0;

e142..  - 11*b170 - b178 - 2*b186 - 5*b194 - 6*b202 - b210
        - 0.00111111111111111*x234 - 0.00166666666666667*x258
        - 0.000909090909090909*x282 - x413 + x414 =G= 0;

e143..  - 11*b171 - b179 - 2*b187 - 5*b195 - 6*b203 - b211
        - 0.00111111111111111*x235 - 0.00166666666666667*x259
        - 0.000909090909090909*x283 - x414 + x415 =G= 0;

e144..  - 11*b172 - b180 - 2*b188 - 5*b196 - 6*b204 - b212
        - 0.00111111111111111*x236 - 0.00166666666666667*x260
        - 0.000909090909090909*x284 - x415 + x416 =G= 0;

e145..  - 11*b173 - b181 - 2*b189 - 5*b197 - 6*b205 - b213
        - 0.00111111111111111*x237 - 0.00166666666666667*x261
        - 0.000909090909090909*x285 - x416 + x417 =G= 0;

e146..  - 11*b174 - b182 - 2*b190 - 5*b198 - 6*b206 - b214
        - 0.00111111111111111*x238 - 0.00166666666666667*x262
        - 0.000909090909090909*x286 - x417 + x418 =G= 0;

e147..  - 11*b175 - b183 - 2*b191 - 5*b199 - 6*b207 - b215
        - 0.00111111111111111*x239 - 0.00166666666666667*x263
        - 0.000909090909090909*x287 - x418 + x419 =G= 0;

e148..  - 11*b176 - b184 - 2*b192 - 5*b200 - 6*b208 - b216
        - 0.00111111111111111*x240 - 0.00166666666666667*x264
        - 0.000909090909090909*x288 - x419 + x423 =G= 0;

e149..  - 200000*b1 + x217 =L= 0;

e150..  - 200000*b2 + x218 =L= 0;

e151..  - 200000*b3 + x219 =L= 0;

e152..  - 200000*b4 + x220 =L= 0;

e153..  - 200000*b5 + x221 =L= 0;

e154..  - 200000*b6 + x222 =L= 0;

e155..  - 200000*b7 + x223 =L= 0;

e156..  - 200000*b8 + x224 =L= 0;

e157..  - 100000*b9 + x225 =L= 0;

e158..  - 100000*b10 + x226 =L= 0;

e159..  - 100000*b11 + x227 =L= 0;

e160..  - 100000*b12 + x228 =L= 0;

e161..  - 100000*b13 + x229 =L= 0;

e162..  - 100000*b14 + x230 =L= 0;

e163..  - 100000*b15 + x231 =L= 0;

e164..  - 100000*b16 + x232 =L= 0;

e165..  - 225000*b17 + x233 =L= 0;

e166..  - 225000*b18 + x234 =L= 0;

e167..  - 225000*b19 + x235 =L= 0;

e168..  - 225000*b20 + x236 =L= 0;

e169..  - 225000*b21 + x237 =L= 0;

e170..  - 225000*b22 + x238 =L= 0;

e171..  - 225000*b23 + x239 =L= 0;

e172..  - 225000*b24 + x240 =L= 0;

e173..  - 300000*b25 + x241 =L= 0;

e174..  - 300000*b26 + x242 =L= 0;

e175..  - 300000*b27 + x243 =L= 0;

e176..  - 300000*b28 + x244 =L= 0;

e177..  - 300000*b29 + x245 =L= 0;

e178..  - 300000*b30 + x246 =L= 0;

e179..  - 300000*b31 + x247 =L= 0;

e180..  - 300000*b32 + x248 =L= 0;

e181..  - 125000*b33 + x249 =L= 0;

e182..  - 125000*b34 + x250 =L= 0;

e183..  - 125000*b35 + x251 =L= 0;

e184..  - 125000*b36 + x252 =L= 0;

e185..  - 125000*b37 + x253 =L= 0;

e186..  - 125000*b38 + x254 =L= 0;

e187..  - 125000*b39 + x255 =L= 0;

e188..  - 125000*b40 + x256 =L= 0;

e189..  - 150000*b41 + x257 =L= 0;

e190..  - 150000*b42 + x258 =L= 0;

e191..  - 150000*b43 + x259 =L= 0;

e192..  - 150000*b44 + x260 =L= 0;

e193..  - 150000*b45 + x261 =L= 0;

e194..  - 150000*b46 + x262 =L= 0;

e195..  - 150000*b47 + x263 =L= 0;

e196..  - 150000*b48 + x264 =L= 0;

e197..  - 250000*b49 + x265 =L= 0;

e198..  - 250000*b50 + x266 =L= 0;

e199..  - 250000*b51 + x267 =L= 0;

e200..  - 250000*b52 + x268 =L= 0;

e201..  - 250000*b53 + x269 =L= 0;

e202..  - 250000*b54 + x270 =L= 0;

e203..  - 250000*b55 + x271 =L= 0;

e204..  - 250000*b56 + x272 =L= 0;

e205..  - 112500*b57 + x273 =L= 0;

e206..  - 112500*b58 + x274 =L= 0;

e207..  - 112500*b59 + x275 =L= 0;

e208..  - 112500*b60 + x276 =L= 0;

e209..  - 112500*b61 + x277 =L= 0;

e210..  - 112500*b62 + x278 =L= 0;

e211..  - 112500*b63 + x279 =L= 0;

e212..  - 112500*b64 + x280 =L= 0;

e213..  - 275000*b65 + x281 =L= 0;

e214..  - 275000*b66 + x282 =L= 0;

e215..  - 275000*b67 + x283 =L= 0;

e216..  - 275000*b68 + x284 =L= 0;

e217..  - 275000*b69 + x285 =L= 0;

e218..  - 275000*b70 + x286 =L= 0;

e219..  - 275000*b71 + x287 =L= 0;

e220..  - 275000*b72 + x288 =L= 0;

e221..    x409 - 50*x423 =G= 0;

e222..    x410 - 100*x423 =G= 0;

e223..    x411 - 250*x423 =G= 0;

e224..    x361 - x420 =L= 0;

e225..    x362 - x420 =L= 0;

e226..    x363 - x420 =L= 0;

e227..    x364 - x420 =L= 0;

e228..    x365 - x420 =L= 0;

e229..    x366 - x420 =L= 0;

e230..    x367 - x420 =L= 0;

e231..    x368 - x420 =L= 0;

e232..    x377 - x421 =L= 0;

e233..    x378 - x421 =L= 0;

e234..    x379 - x421 =L= 0;

e235..    x380 - x421 =L= 0;

e236..    x381 - x421 =L= 0;

e237..    x382 - x421 =L= 0;

e238..    x383 - x421 =L= 0;

e239..    x384 - x421 =L= 0;

e240..    x393 - x422 =L= 0;

e241..    x394 - x422 =L= 0;

e242..    x395 - x422 =L= 0;

e243..    x396 - x422 =L= 0;

e244..    x397 - x422 =L= 0;

e245..    x398 - x422 =L= 0;

e246..    x399 - x422 =L= 0;

e247..    x400 - x422 =L= 0;

e248..    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 =L= 3;

e249..    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;

e250..    b1 + b9 =E= 1;

* set non-default bounds
x217.up = 200000;
x218.up = 200000;
x219.up = 200000;
x220.up = 200000;
x221.up = 200000;
x222.up = 200000;
x223.up = 200000;
x224.up = 200000;
x225.up = 100000;
x226.up = 100000;
x227.up = 100000;
x228.up = 100000;
x229.up = 100000;
x230.up = 100000;
x231.up = 100000;
x232.up = 100000;
x233.up = 225000;
x234.up = 225000;
x235.up = 225000;
x236.up = 225000;
x237.up = 225000;
x238.up = 225000;
x239.up = 225000;
x240.up = 225000;
x241.up = 300000;
x242.up = 300000;
x243.up = 300000;
x244.up = 300000;
x245.up = 300000;
x246.up = 300000;
x247.up = 300000;
x248.up = 300000;
x249.up = 125000;
x250.up = 125000;
x251.up = 125000;
x252.up = 125000;
x253.up = 125000;
x254.up = 125000;
x255.up = 125000;
x256.up = 125000;
x257.up = 150000;
x258.up = 150000;
x259.up = 150000;
x260.up = 150000;
x261.up = 150000;
x262.up = 150000;
x263.up = 150000;
x264.up = 150000;
x265.up = 250000;
x266.up = 250000;
x267.up = 250000;
x268.up = 250000;
x269.up = 250000;
x270.up = 250000;
x271.up = 250000;
x272.up = 250000;
x273.up = 112500;
x274.up = 112500;
x275.up = 112500;
x276.up = 112500;
x277.up = 112500;
x278.up = 112500;
x279.up = 112500;
x280.up = 112500;
x281.up = 275000;
x282.up = 275000;
x283.up = 275000;
x284.up = 275000;
x285.up = 275000;
x286.up = 275000;
x287.up = 275000;
x288.up = 275000;
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 = 200000;
x362.up = 200000;
x363.up = 200000;
x364.up = 200000;
x365.up = 200000;
x366.up = 200000;
x367.up = 200000;
x368.up = 200000;
x369.up = 225000;
x370.up = 225000;
x371.up = 225000;
x372.up = 225000;
x373.up = 225000;
x374.up = 225000;
x375.up = 225000;
x376.up = 225000;
x377.up = 300000;
x378.up = 300000;
x379.up = 300000;
x380.up = 300000;
x381.up = 300000;
x382.up = 300000;
x383.up = 300000;
x384.up = 300000;
x385.up = 150000;
x386.up = 150000;
x387.up = 150000;
x388.up = 150000;
x389.up = 150000;
x390.up = 150000;
x391.up = 150000;
x392.up = 150000;
x393.up = 250000;
x394.up = 250000;
x395.up = 250000;
x396.up = 250000;
x397.up = 250000;
x398.up = 250000;
x399.up = 250000;
x400.up = 250000;
x401.up = 275000;
x402.up = 275000;
x403.up = 275000;
x404.up = 275000;
x405.up = 275000;
x406.up = 275000;
x407.up = 275000;
x408.up = 275000;
x409.up = 225000;
x410.up = 300000;
x411.up = 275000;
x412.fx = 0;
x413.up = 250;
x414.up = 250;
x415.up = 250;
x416.up = 250;
x417.up = 250;
x418.up = 250;
x419.up = 250;
x420.up = 200000;
x421.up = 300000;
x422.up = 250000;
x423.lo = 100; x423.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: 2022-05-24 Git hash: 1198c186
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