MINLPLib
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Instance multiplants_mtg1a
| Formatsⓘ | ams gms mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 431.56221550 (ANTIGONE) 391.61336880 (BARON) 391.65204110 (COUENNE) 408.28650230 (LINDO) 391.61336850 (SCIP) |
| Referencesⓘ | Castro, Pedro M and Novais, Augusto Q, Periodic Scheduling of Continuous Multiproduct Plants, 2009. |
| Sourceⓘ | MTG_EX1a.gms from minlp.org model 34 |
| Applicationⓘ | Periodic Scheduling of Continuous Multiproduct Plants |
| Added to libraryⓘ | 24 Sep 2013 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 194 |
| #Binary Variablesⓘ | 93 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 26 |
| #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ⓘ | 257 |
| #Linear Constraintsⓘ | 229 |
| #Quadratic Constraintsⓘ | 27 |
| #Polynomial Constraintsⓘ | 1 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 1973 |
| #Nonlinear Nonzeros in Jacobianⓘ | 95 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 78 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 4 |
| #Blocks in Hessian of Lagrangianⓘ | 1 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 26 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 26 |
| Average blocksize in Hessian of Lagrangianⓘ | 26.0 |
| #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
* 257 62 96 99 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 194 101 93 0 0 0 0 0
* FX 1
*
* Nonzero counts
* Total const NL DLL
* 1973 1878 95 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,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103
,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115,x116
,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128,x129
,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141,x142
,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154,x155
,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167,x168
,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181
,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,objvar;
Positive Variables x94,x95,x96,x97,x98,x99,x100,x101,x102,x103,x104,x105,x106
,x107,x108,x109,x110,x111,x112,x113,x114,x115,x116,x117,x118,x119
,x120,x121,x122,x123,x124,x125,x126,x127,x128,x129,x130,x131,x132
,x133,x134,x135,x136,x137,x138,x139,x140,x141,x142,x143,x144,x145
,x146,x147,x149,x150,x151,x152,x153,x154,x155,x156,x157,x158,x159
,x160,x161,x162,x163,x164,x165,x166,x167,x168,x169,x170,x171,x172
,x173,x174,x175,x176,x177,x178,x179,x180,x184,x185,x186,x187,x188
,x189;
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;
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;
e1.. objvar*x193 + 0.00203*(x190**2*(x185 - x181) + (x193 - x190)**2*x181) +
0.00203*(x191**2*(x187 - x182) + (x193 - x191)**2*x182) + 0.00203*(x192**2
*(x189 - x183) + (x193 - x192)**2*x183) + 3800*b4 + 3800*b5 + 3800*b6
+ 6080*b7 + 6080*b8 + 6080*b9 + 7500*b10 + 7500*b11 + 7500*b12 + 2250*b16
+ 2250*b17 + 2250*b18 + 3080*b19 + 3080*b20 + 3080*b21 + 5390*b22
+ 5390*b23 + 5390*b24 + 6840*b31 + 6840*b32 + 6840*b33 + 8360*b34
+ 8360*b35 + 8360*b36 + 3750*b37 + 3750*b38 + 3750*b39 + 5250*b43
+ 5250*b44 + 5250*b45 + 4620*b46 + 4620*b47 + 4620*b48 + 3080*b49
+ 3080*b50 + 3080*b51 + 8360*b58 + 8360*b59 + 8360*b60 + 760*b61
+ 760*b62 + 760*b63 + 1500*b64 + 1500*b65 + 1500*b66 + 3750*b70
+ 3750*b71 + 3750*b72 + 4620*b73 + 4620*b74 + 4620*b75 + 770*b76
+ 770*b77 + 770*b78 - 0.15*x100 - 0.15*x101 - 0.15*x102 - 0.4*x109
- 0.4*x110 - 0.4*x111 - 0.65*x118 - 0.65*x119 - 0.65*x120 + 0.1406*x166
+ 0.1406*x167 + 0.1406*x168 =E= 0;
e2.. b1 - b3 + b4 + b7 - b12 - b21 + x121 - x123 =E= 0;
e3.. - b1 + b2 + b5 + b8 - b10 - b19 - x121 + x122 =E= 0;
e4.. - b2 + b3 + b6 + b9 - b11 - b20 - x122 + x123 =E= 0;
e5.. - b6 + b10 + b13 - b15 + b16 - b24 + x124 - x126 =E= 0;
e6.. - b4 + b11 - b13 + b14 + b17 - b22 - x124 + x125 =E= 0;
e7.. - b5 + b12 - b14 + b15 + b18 - b23 - x125 + x126 =E= 0;
e8.. - b9 - b18 + b19 + b22 + b25 - b27 + x127 - x129 =E= 0;
e9.. - b7 - b16 + b20 + b23 - b25 + b26 - x127 + x128 =E= 0;
e10.. - b8 - b17 + b21 + b24 - b26 + b27 - x128 + x129 =E= 0;
e11.. b28 - b30 + b31 + b34 - b39 - b48 + x130 - x132 =E= 0;
e12.. - b28 + b29 + b32 + b35 - b37 - b46 - x130 + x131 =E= 0;
e13.. - b29 + b30 + b33 + b36 - b38 - b47 - x131 + x132 =E= 0;
e14.. - b33 + b37 + b40 - b42 + b43 - b51 + x133 - x135 =E= 0;
e15.. - b31 + b38 - b40 + b41 + b44 - b49 - x133 + x134 =E= 0;
e16.. - b32 + b39 - b41 + b42 + b45 - b50 - x134 + x135 =E= 0;
e17.. - b36 - b45 + b46 + b49 + b52 - b54 + x136 - x138 =E= 0;
e18.. - b34 - b43 + b47 + b50 - b52 + b53 - x136 + x137 =E= 0;
e19.. - b35 - b44 + b48 + b51 - b53 + b54 - x137 + x138 =E= 0;
e20.. b55 - b57 + b58 + b61 - b66 - b75 + x139 - x141 =E= 0;
e21.. - b55 + b56 + b59 + b62 - b64 - b73 - x139 + x140 =E= 0;
e22.. - b56 + b57 + b60 + b63 - b65 - b74 - x140 + x141 =E= 0;
e23.. - b60 + b64 + b67 - b69 + b70 - b78 + x142 - x144 =E= 0;
e24.. - b58 + b65 - b67 + b68 + b71 - b76 - x142 + x143 =E= 0;
e25.. - b59 + b66 - b68 + b69 + b72 - b77 - x143 + x144 =E= 0;
e26.. - b63 - b72 + b73 + b76 + b79 - b81 + x145 - x147 =E= 0;
e27.. - b61 - b70 + b74 + b77 - b79 + b80 - x145 + x146 =E= 0;
e28.. - b62 - b71 + b75 + b78 - b80 + b81 - x146 + x147 =E= 0;
e29.. b1 + b4 + b7 + b10 + b13 + b16 + b19 + b22 + b25 + x121 + x124 + x127
=E= 1;
e30.. b28 + b31 + b34 + b37 + b40 + b43 + b46 + b49 + b52 + x130 + x133
+ x136 =E= 1;
e31.. b55 + b58 + b61 + b64 + b67 + b70 + b73 + b76 + b79 + x139 + x142
+ x145 =E= 1;
e32.. - 5*b4 - 8*b7 - 10*b10 - 3*b16 - 4*b19 - 7*b22 - 0.00125*x94
- 0.000833333333333333*x103 - 0.001*x112 - x148 + x151 =G= 0;
e33.. - 5*b5 - 8*b8 - 10*b11 - 3*b17 - 4*b20 - 7*b23 - 0.00125*x95
- 0.000833333333333333*x104 - 0.001*x113 - x151 + x154 =G= 0;
e34.. - 5*b6 - 8*b9 - 10*b12 - 3*b18 - 4*b21 - 7*b24 - 0.00125*x96
- 0.000833333333333333*x105 - 0.001*x114 + x148 - x154 + x193 =G= 0;
e35.. - 9*b31 - 11*b34 - 5*b37 - 7*b43 - 6*b46 - 4*b49 - 0.0025*x97
- 0.002*x106 - 0.00222222222222222*x115 - x149 + x152 =G= 0;
e36.. - 9*b32 - 11*b35 - 5*b38 - 7*b44 - 6*b47 - 4*b50 - 0.0025*x98
- 0.002*x107 - 0.00222222222222222*x116 - x152 + x155 =G= 0;
e37.. - 9*b33 - 11*b36 - 5*b39 - 7*b45 - 6*b48 - 4*b51 - 0.0025*x99
- 0.002*x108 - 0.00222222222222222*x117 + x149 - x155 + x193 =G= 0;
e38.. - 11*b58 - b61 - 2*b64 - 5*b70 - 6*b73 - b76 - 0.00111111111111111*x100
- 0.00166666666666667*x109 - 0.000909090909090909*x118 - x150 + x153
=G= 0;
e39.. - 11*b59 - b62 - 2*b65 - 5*b71 - 6*b74 - b77 - 0.00111111111111111*x101
- 0.00166666666666667*x110 - 0.000909090909090909*x119 - x153 + x156
=G= 0;
e40.. - 11*b60 - b63 - 2*b66 - 5*b72 - 6*b75 - b78 - 0.00111111111111111*x102
- 0.00166666666666667*x111 - 0.000909090909090909*x120 + x150 - x156
+ x193 =G= 0;
e41.. - 5*b4 - 8*b7 - 10*b10 - 3*b16 - 4*b19 - 7*b22 + x151 - x157 =E= 0;
e42.. - 5*b5 - 8*b8 - 10*b11 - 3*b17 - 4*b20 - 7*b23 + x154 - x160 =E= 0;
e43.. - 5*b6 - 8*b9 - 10*b12 - 3*b18 - 4*b21 - 7*b24 + x148 - x163 + x193
=E= 0;
e44.. - 9*b31 - 11*b34 - 5*b37 - 7*b43 - 6*b46 - 4*b49 + x152 - x158 =E= 0;
e45.. - 9*b32 - 11*b35 - 5*b38 - 7*b44 - 6*b47 - 4*b50 + x155 - x161 =E= 0;
e46.. - 9*b33 - 11*b36 - 5*b39 - 7*b45 - 6*b48 - 4*b51 + x149 - x164 + x193
=E= 0;
e47.. - 11*b58 - b61 - 2*b64 - 5*b70 - 6*b73 - b76 + x153 - x159 =E= 0;
e48.. - 11*b59 - b62 - 2*b65 - 5*b71 - 6*b74 - b77 + x156 - x162 =E= 0;
e49.. - 11*b60 - b63 - 2*b66 - 5*b72 - 6*b75 - b78 + x150 - x165 + x193 =E= 0;
e50.. x154 - x193 =L= 0;
e51.. x155 - x193 =L= 0;
e52.. x156 - x193 =L= 0;
e53.. - 200000*b1 - 200000*b4 - 200000*b7 + x94 =L= 0;
e54.. - 200000*b2 - 200000*b5 - 200000*b8 + x95 =L= 0;
e55.. - 200000*b3 - 200000*b6 - 200000*b9 + x96 =L= 0;
e56.. - 100000*b28 - 100000*b31 - 100000*b34 + x97 =L= 0;
e57.. - 100000*b29 - 100000*b32 - 100000*b35 + x98 =L= 0;
e58.. - 100000*b30 - 100000*b33 - 100000*b36 + x99 =L= 0;
e59.. - 225000*b55 - 225000*b58 - 225000*b61 + x100 =L= 0;
e60.. - 225000*b56 - 225000*b59 - 225000*b62 + x101 =L= 0;
e61.. - 225000*b57 - 225000*b60 - 225000*b63 + x102 =L= 0;
e62.. - 300000*b10 - 300000*b13 - 300000*b16 + x103 =L= 0;
e63.. - 300000*b11 - 300000*b14 - 300000*b17 + x104 =L= 0;
e64.. - 300000*b12 - 300000*b15 - 300000*b18 + x105 =L= 0;
e65.. - 125000*b37 - 125000*b40 - 125000*b43 + x106 =L= 0;
e66.. - 125000*b38 - 125000*b41 - 125000*b44 + x107 =L= 0;
e67.. - 125000*b39 - 125000*b42 - 125000*b45 + x108 =L= 0;
e68.. - 150000*b64 - 150000*b67 - 150000*b70 + x109 =L= 0;
e69.. - 150000*b65 - 150000*b68 - 150000*b71 + x110 =L= 0;
e70.. - 150000*b66 - 150000*b69 - 150000*b72 + x111 =L= 0;
e71.. - 250000*b19 - 250000*b22 - 250000*b25 + x112 =L= 0;
e72.. - 250000*b20 - 250000*b23 - 250000*b26 + x113 =L= 0;
e73.. - 250000*b21 - 250000*b24 - 250000*b27 + x114 =L= 0;
e74.. - 112500*b46 - 112500*b49 - 112500*b52 + x115 =L= 0;
e75.. - 112500*b47 - 112500*b50 - 112500*b53 + x116 =L= 0;
e76.. - 112500*b48 - 112500*b51 - 112500*b54 + x117 =L= 0;
e77.. - 275000*b73 - 275000*b76 - 275000*b79 + x118 =L= 0;
e78.. - 275000*b74 - 275000*b77 - 275000*b80 + x119 =L= 0;
e79.. - 275000*b75 - 275000*b78 - 275000*b81 + x120 =L= 0;
e80.. b1 + b2 + b3 + b4 + b5 + b6 + b7 + b8 + b9 + b28 + b29 + b30 + b31
+ b32 + b33 + b34 + b35 + b36 =E= 1;
e81.. b55 + b56 + b57 + b58 + b59 + b60 + b61 + b62 + b63 =E= 1;
e82.. b10 + b11 + b12 + b13 + b14 + b15 + b16 + b17 + b18 + b37 + b38 + b39
+ b40 + b41 + b42 + b43 + b44 + b45 =E= 1;
e83.. b64 + b65 + b66 + b67 + b68 + b69 + b70 + b71 + b72 =E= 1;
e84.. b19 + b20 + b21 + b22 + b23 + b24 + b25 + b26 + b27 + b46 + b47 + b48
+ b49 + b50 + b51 + b52 + b53 + b54 =E= 1;
e85.. b73 + b74 + b75 + b76 + b77 + b78 + b79 + b80 + b81 =E= 1;
e86.. b1 + b4 + b7 + b28 + b31 + b34 =E= 1;
e87.. x181*x193 - x100 - x101 - x102 =E= 0;
e88.. x182*x193 - x109 - x110 - x111 =E= 0;
e89.. x183*x193 - x118 - x119 - x120 =E= 0;
e90.. x94 + x95 + x96 + x97 + x98 + x99 - x100 - x101 - x102 =E= 0;
e91.. x103 + x104 + x105 + x106 + x107 + x108 - x109 - x110 - x111 =E= 0;
e92.. x112 + x113 + x114 + x115 + x116 + x117 - x118 - x119 - x120 =E= 0;
e93.. 250*b1 + 250*b4 + 250*b7 - x148 + x169 =L= 250;
e94.. 250*b1 + 250*b2 + 250*b4 + 250*b5 + 250*b7 + 250*b8 - x151 + x169
=L= 250;
e95.. 250*b1 + 250*b2 + 250*b3 + 250*b4 + 250*b5 + 250*b6 + 250*b7 + 250*b8
+ 250*b9 - x154 + x169 =L= 250;
e96.. 250*b28 + 250*b31 + 250*b34 - x149 + x169 =L= 250;
e97.. 250*b28 + 250*b29 + 250*b31 + 250*b32 + 250*b34 + 250*b35 - x152
+ x169 =L= 250;
e98.. 250*b28 + 250*b29 + 250*b30 + 250*b31 + 250*b32 + 250*b33 + 250*b34
+ 250*b35 + 250*b36 - x155 + x169 =L= 250;
e99.. 250*b55 + 250*b58 + 250*b61 - x150 + x170 =L= 250;
e100.. 250*b55 + 250*b56 + 250*b58 + 250*b59 + 250*b61 + 250*b62 - x153
+ x170 =L= 250;
e101.. 250*b55 + 250*b56 + 250*b57 + 250*b58 + 250*b59 + 250*b60 + 250*b61
+ 250*b62 + 250*b63 - x156 + x170 =L= 250;
e102.. 250*b10 + 250*b13 + 250*b16 - x148 + x171 =L= 250;
e103.. 250*b10 + 250*b11 + 250*b13 + 250*b14 + 250*b16 + 250*b17 - x151
+ x171 =L= 250;
e104.. 250*b10 + 250*b11 + 250*b12 + 250*b13 + 250*b14 + 250*b15 + 250*b16
+ 250*b17 + 250*b18 - x154 + x171 =L= 250;
e105.. 250*b37 + 250*b40 + 250*b43 - x149 + x171 =L= 250;
e106.. 250*b37 + 250*b38 + 250*b40 + 250*b41 + 250*b43 + 250*b44 - x152
+ x171 =L= 250;
e107.. 250*b37 + 250*b38 + 250*b39 + 250*b40 + 250*b41 + 250*b42 + 250*b43
+ 250*b44 + 250*b45 - x155 + x171 =L= 250;
e108.. 250*b64 + 250*b67 + 250*b70 - x150 + x172 =L= 250;
e109.. 250*b64 + 250*b65 + 250*b67 + 250*b68 + 250*b70 + 250*b71 - x153
+ x172 =L= 250;
e110.. 250*b64 + 250*b65 + 250*b66 + 250*b67 + 250*b68 + 250*b69 + 250*b70
+ 250*b71 + 250*b72 - x156 + x172 =L= 250;
e111.. 250*b19 + 250*b22 + 250*b25 - x148 + x173 =L= 250;
e112.. 250*b19 + 250*b20 + 250*b22 + 250*b23 + 250*b25 + 250*b26 - x151
+ x173 =L= 250;
e113.. 250*b19 + 250*b20 + 250*b21 + 250*b22 + 250*b23 + 250*b24 + 250*b25
+ 250*b26 + 250*b27 - x154 + x173 =L= 250;
e114.. 250*b46 + 250*b49 + 250*b52 - x149 + x173 =L= 250;
e115.. 250*b46 + 250*b47 + 250*b49 + 250*b50 + 250*b52 + 250*b53 - x152
+ x173 =L= 250;
e116.. 250*b46 + 250*b47 + 250*b48 + 250*b49 + 250*b50 + 250*b51 + 250*b52
+ 250*b53 + 250*b54 - x155 + x173 =L= 250;
e117.. 250*b73 + 250*b76 + 250*b79 - x150 + x174 =L= 250;
e118.. 250*b73 + 250*b74 + 250*b76 + 250*b77 + 250*b79 + 250*b80 - x153
+ x174 =L= 250;
e119.. 250*b73 + 250*b74 + 250*b75 + 250*b76 + 250*b77 + 250*b78 + 250*b79
+ 250*b80 + 250*b81 - x156 + x174 =L= 250;
e120.. - 250*b1 - 250*b2 - 250*b3 - 250*b4 - 250*b5 - 250*b6 - 250*b7 - 250*b8
- 250*b9 - x148 + x169 =G= -250;
e121.. - 250*b2 - 250*b3 - 250*b5 - 250*b6 - 250*b8 - 250*b9 - x151 + x169
=G= -250;
e122.. - 250*b3 - 250*b6 - 250*b9 - x154 + x169 =G= -250;
e123.. - 250*b28 - 250*b29 - 250*b30 - 250*b31 - 250*b32 - 250*b33 - 250*b34
- 250*b35 - 250*b36 - x149 + x169 =G= -250;
e124.. - 250*b29 - 250*b30 - 250*b32 - 250*b33 - 250*b35 - 250*b36 - x152
+ x169 =G= -250;
e125.. - 250*b30 - 250*b33 - 250*b36 - x155 + x169 =G= -250;
e126.. - 250*b55 - 250*b56 - 250*b57 - 250*b58 - 250*b59 - 250*b60 - 250*b61
- 250*b62 - 250*b63 - x150 + x170 =G= -250;
e127.. - 250*b56 - 250*b57 - 250*b59 - 250*b60 - 250*b62 - 250*b63 - x153
+ x170 =G= -250;
e128.. - 250*b57 - 250*b60 - 250*b63 - x156 + x170 =G= -250;
e129.. - 250*b10 - 250*b11 - 250*b12 - 250*b13 - 250*b14 - 250*b15 - 250*b16
- 250*b17 - 250*b18 - x148 + x171 =G= -250;
e130.. - 250*b11 - 250*b12 - 250*b14 - 250*b15 - 250*b17 - 250*b18 - x151
+ x171 =G= -250;
e131.. - 250*b12 - 250*b15 - 250*b18 - x154 + x171 =G= -250;
e132.. - 250*b37 - 250*b38 - 250*b39 - 250*b40 - 250*b41 - 250*b42 - 250*b43
- 250*b44 - 250*b45 - x149 + x171 =G= -250;
e133.. - 250*b38 - 250*b39 - 250*b41 - 250*b42 - 250*b44 - 250*b45 - x152
+ x171 =G= -250;
e134.. - 250*b39 - 250*b42 - 250*b45 - x155 + x171 =G= -250;
e135.. - 250*b64 - 250*b65 - 250*b66 - 250*b67 - 250*b68 - 250*b69 - 250*b70
- 250*b71 - 250*b72 - x150 + x172 =G= -250;
e136.. - 250*b65 - 250*b66 - 250*b68 - 250*b69 - 250*b71 - 250*b72 - x153
+ x172 =G= -250;
e137.. - 250*b66 - 250*b69 - 250*b72 - x156 + x172 =G= -250;
e138.. - 250*b19 - 250*b20 - 250*b21 - 250*b22 - 250*b23 - 250*b24 - 250*b25
- 250*b26 - 250*b27 - x148 + x173 =G= -250;
e139.. - 250*b20 - 250*b21 - 250*b23 - 250*b24 - 250*b26 - 250*b27 - x151
+ x173 =G= -250;
e140.. - 250*b21 - 250*b24 - 250*b27 - x154 + x173 =G= -250;
e141.. - 250*b46 - 250*b47 - 250*b48 - 250*b49 - 250*b50 - 250*b51 - 250*b52
- 250*b53 - 250*b54 - x149 + x173 =G= -250;
e142.. - 250*b47 - 250*b48 - 250*b50 - 250*b51 - 250*b53 - 250*b54 - x152
+ x173 =G= -250;
e143.. - 250*b48 - 250*b51 - 250*b54 - x155 + x173 =G= -250;
e144.. - 250*b73 - 250*b74 - 250*b75 - 250*b76 - 250*b77 - 250*b78 - 250*b79
- 250*b80 - 250*b81 - x150 + x174 =G= -250;
e145.. - 250*b74 - 250*b75 - 250*b77 - 250*b78 - 250*b80 - 250*b81 - x153
+ x174 =G= -250;
e146.. - 250*b75 - 250*b78 - 250*b81 - x156 + x174 =G= -250;
e147.. 250*b1 + 250*b4 + 250*b7 - x157 + x175 =L= 250;
e148.. 250*b1 + 250*b2 + 250*b4 + 250*b5 + 250*b7 + 250*b8 - x160 + x175
=L= 250;
e149.. 250*b1 + 250*b2 + 250*b3 + 250*b4 + 250*b5 + 250*b6 + 250*b7 + 250*b8
+ 250*b9 - x163 + x175 =L= 250;
e150.. 250*b28 + 250*b31 + 250*b34 - x158 + x175 =L= 250;
e151.. 250*b28 + 250*b29 + 250*b31 + 250*b32 + 250*b34 + 250*b35 - x161
+ x175 =L= 250;
e152.. 250*b28 + 250*b29 + 250*b30 + 250*b31 + 250*b32 + 250*b33 + 250*b34
+ 250*b35 + 250*b36 - x164 + x175 =L= 250;
e153.. 250*b55 + 250*b58 + 250*b61 - x159 + x176 =L= 250;
e154.. 250*b55 + 250*b56 + 250*b58 + 250*b59 + 250*b61 + 250*b62 - x162
+ x176 =L= 250;
e155.. 250*b55 + 250*b56 + 250*b57 + 250*b58 + 250*b59 + 250*b60 + 250*b61
+ 250*b62 + 250*b63 - x165 + x176 =L= 250;
e156.. 250*b10 + 250*b13 + 250*b16 - x157 + x177 =L= 250;
e157.. 250*b10 + 250*b11 + 250*b13 + 250*b14 + 250*b16 + 250*b17 - x160
+ x177 =L= 250;
e158.. 250*b10 + 250*b11 + 250*b12 + 250*b13 + 250*b14 + 250*b15 + 250*b16
+ 250*b17 + 250*b18 - x163 + x177 =L= 250;
e159.. 250*b37 + 250*b40 + 250*b43 - x158 + x177 =L= 250;
e160.. 250*b37 + 250*b38 + 250*b40 + 250*b41 + 250*b43 + 250*b44 - x161
+ x177 =L= 250;
e161.. 250*b37 + 250*b38 + 250*b39 + 250*b40 + 250*b41 + 250*b42 + 250*b43
+ 250*b44 + 250*b45 - x164 + x177 =L= 250;
e162.. 250*b64 + 250*b67 + 250*b70 - x159 + x178 =L= 250;
e163.. 250*b64 + 250*b65 + 250*b67 + 250*b68 + 250*b70 + 250*b71 - x162
+ x178 =L= 250;
e164.. 250*b64 + 250*b65 + 250*b66 + 250*b67 + 250*b68 + 250*b69 + 250*b70
+ 250*b71 + 250*b72 - x165 + x178 =L= 250;
e165.. 250*b19 + 250*b22 + 250*b25 - x157 + x179 =L= 250;
e166.. 250*b19 + 250*b20 + 250*b22 + 250*b23 + 250*b25 + 250*b26 - x160
+ x179 =L= 250;
e167.. 250*b19 + 250*b20 + 250*b21 + 250*b22 + 250*b23 + 250*b24 + 250*b25
+ 250*b26 + 250*b27 - x163 + x179 =L= 250;
e168.. 250*b46 + 250*b49 + 250*b52 - x158 + x179 =L= 250;
e169.. 250*b46 + 250*b47 + 250*b49 + 250*b50 + 250*b52 + 250*b53 - x161
+ x179 =L= 250;
e170.. 250*b46 + 250*b47 + 250*b48 + 250*b49 + 250*b50 + 250*b51 + 250*b52
+ 250*b53 + 250*b54 - x164 + x179 =L= 250;
e171.. 250*b73 + 250*b76 + 250*b79 - x159 + x180 =L= 250;
e172.. 250*b73 + 250*b74 + 250*b76 + 250*b77 + 250*b79 + 250*b80 - x162
+ x180 =L= 250;
e173.. 250*b73 + 250*b74 + 250*b75 + 250*b76 + 250*b77 + 250*b78 + 250*b79
+ 250*b80 + 250*b81 - x165 + x180 =L= 250;
e174.. - 250*b1 - 250*b2 - 250*b3 - 250*b4 - 250*b5 - 250*b6 - 250*b7 - 250*b8
- 250*b9 - x157 + x175 =G= -250;
e175.. - 250*b2 - 250*b3 - 250*b5 - 250*b6 - 250*b8 - 250*b9 - x160 + x175
=G= -250;
e176.. - 250*b3 - 250*b6 - 250*b9 - x163 + x175 =G= -250;
e177.. - 250*b28 - 250*b29 - 250*b30 - 250*b31 - 250*b32 - 250*b33 - 250*b34
- 250*b35 - 250*b36 - x158 + x175 =G= -250;
e178.. - 250*b29 - 250*b30 - 250*b32 - 250*b33 - 250*b35 - 250*b36 - x161
+ x175 =G= -250;
e179.. - 250*b30 - 250*b33 - 250*b36 - x164 + x175 =G= -250;
e180.. - 250*b55 - 250*b56 - 250*b57 - 250*b58 - 250*b59 - 250*b60 - 250*b61
- 250*b62 - 250*b63 - x159 + x176 =G= -250;
e181.. - 250*b56 - 250*b57 - 250*b59 - 250*b60 - 250*b62 - 250*b63 - x162
+ x176 =G= -250;
e182.. - 250*b57 - 250*b60 - 250*b63 - x165 + x176 =G= -250;
e183.. - 250*b10 - 250*b11 - 250*b12 - 250*b13 - 250*b14 - 250*b15 - 250*b16
- 250*b17 - 250*b18 - x157 + x177 =G= -250;
e184.. - 250*b11 - 250*b12 - 250*b14 - 250*b15 - 250*b17 - 250*b18 - x160
+ x177 =G= -250;
e185.. - 250*b12 - 250*b15 - 250*b18 - x163 + x177 =G= -250;
e186.. - 250*b37 - 250*b38 - 250*b39 - 250*b40 - 250*b41 - 250*b42 - 250*b43
- 250*b44 - 250*b45 - x158 + x177 =G= -250;
e187.. - 250*b38 - 250*b39 - 250*b41 - 250*b42 - 250*b44 - 250*b45 - x161
+ x177 =G= -250;
e188.. - 250*b39 - 250*b42 - 250*b45 - x164 + x177 =G= -250;
e189.. - 250*b64 - 250*b65 - 250*b66 - 250*b67 - 250*b68 - 250*b69 - 250*b70
- 250*b71 - 250*b72 - x159 + x178 =G= -250;
e190.. - 250*b65 - 250*b66 - 250*b68 - 250*b69 - 250*b71 - 250*b72 - x162
+ x178 =G= -250;
e191.. - 250*b66 - 250*b69 - 250*b72 - x165 + x178 =G= -250;
e192.. - 250*b19 - 250*b20 - 250*b21 - 250*b22 - 250*b23 - 250*b24 - 250*b25
- 250*b26 - 250*b27 - x157 + x179 =G= -250;
e193.. - 250*b20 - 250*b21 - 250*b23 - 250*b24 - 250*b26 - 250*b27 - x160
+ x179 =G= -250;
e194.. - 250*b21 - 250*b24 - 250*b27 - x163 + x179 =G= -250;
e195.. - 250*b46 - 250*b47 - 250*b48 - 250*b49 - 250*b50 - 250*b51 - 250*b52
- 250*b53 - 250*b54 - x158 + x179 =G= -250;
e196.. - 250*b47 - 250*b48 - 250*b50 - 250*b51 - 250*b53 - 250*b54 - x161
+ x179 =G= -250;
e197.. - 250*b48 - 250*b51 - 250*b54 - x164 + x179 =G= -250;
e198.. - 250*b73 - 250*b74 - 250*b75 - 250*b76 - 250*b77 - 250*b78 - 250*b79
- 250*b80 - 250*b81 - x159 + x180 =G= -250;
e199.. - 250*b74 - 250*b75 - 250*b77 - 250*b78 - 250*b80 - 250*b81 - x162
+ x180 =G= -250;
e200.. - 250*b75 - 250*b78 - 250*b81 - x165 + x180 =G= -250;
e201.. -x184*(x175 - x169) + x94 + x95 + x96 + x97 + x98 + x99 =E= 0;
e202.. -x185*(x176 - x170) + x100 + x101 + x102 =E= 0;
e203.. -x186*(x177 - x171) + x103 + x104 + x105 + x106 + x107 + x108 =E= 0;
e204.. -x187*(x178 - x172) + x109 + x110 + x111 =E= 0;
e205.. -x188*(x179 - x173) + x112 + x113 + x114 + x115 + x116 + x117 =E= 0;
e206.. -x189*(x180 - x174) + x118 + x119 + x120 =E= 0;
e207.. - 800*b1 - 800*b2 - 800*b3 - 800*b4 - 800*b5 - 800*b6 - 800*b7 - 800*b8
- 800*b9 - 400*b28 - 400*b29 - 400*b30 - 400*b31 - 400*b32 - 400*b33
- 400*b34 - 400*b35 - 400*b36 + x184 =L= 0;
e208.. - 900*b55 - 900*b56 - 900*b57 - 900*b58 - 900*b59 - 900*b60 - 900*b61
- 900*b62 - 900*b63 + x185 =L= 0;
e209.. - 1200*b10 - 1200*b11 - 1200*b12 - 1200*b13 - 1200*b14 - 1200*b15
- 1200*b16 - 1200*b17 - 1200*b18 - 500*b37 - 500*b38 - 500*b39
- 500*b40 - 500*b41 - 500*b42 - 500*b43 - 500*b44 - 500*b45 + x186
=L= 0;
e210.. - 600*b64 - 600*b65 - 600*b66 - 600*b67 - 600*b68 - 600*b69 - 600*b70
- 600*b71 - 600*b72 + x187 =L= 0;
e211.. - 1000*b19 - 1000*b20 - 1000*b21 - 1000*b22 - 1000*b23 - 1000*b24
- 1000*b25 - 1000*b26 - 1000*b27 - 450*b46 - 450*b47 - 450*b48
- 450*b49 - 450*b50 - 450*b51 - 450*b52 - 450*b53 - 450*b54 + x188
=L= 0;
e212.. - 1100*b73 - 1100*b74 - 1100*b75 - 1100*b76 - 1100*b77 - 1100*b78
- 1100*b79 - 1100*b80 - 1100*b81 + x189 =L= 0;
e213.. x170 - x176 + x190 =E= 0;
e214.. x172 - x178 + x191 =E= 0;
e215.. x174 - x180 + x192 =E= 0;
e216.. x190 - x193 =L= 0;
e217.. x191 - x193 =L= 0;
e218.. x192 - x193 =L= 0;
e219.. 250*b82 + 250*b88 + x169 - x170 =L= 250;
e220.. 250*b83 + 250*b89 + x171 - x172 =L= 250;
e221.. 250*b84 + 250*b90 + x173 - x174 =L= 250;
e222.. - 250*b85 - 250*b91 + x169 - x170 =G= -250;
e223.. - 250*b86 - 250*b92 + x171 - x172 =G= -250;
e224.. - 250*b87 - 250*b93 + x173 - x174 =G= -250;
e225.. 500*b82 + 500*b91 + x175 - x176 =L= 500;
e226.. 500*b83 + 500*b92 + x177 - x178 =L= 500;
e227.. 500*b84 + 500*b93 + x179 - x180 =L= 500;
e228.. - 500*b85 - 500*b88 + x175 - x176 =G= -500;
e229.. - 500*b86 - 500*b89 + x177 - x178 =G= -500;
e230.. - 500*b87 - 500*b90 + x179 - x180 =G= -500;
e231.. - 250*b82 - 250*b85 - 250*b88 - 250*b91 - x170 + x175 =G= -250;
e232.. - 250*b83 - 250*b86 - 250*b89 - 250*b92 - x172 + x177 =G= -250;
e233.. - 250*b84 - 250*b87 - 250*b90 - 250*b93 - x174 + x179 =G= -250;
e234.. - 250*b82 - 250*b85 - 250*b88 - 250*b91 - x169 + x176 =G= -250;
e235.. - 250*b83 - 250*b86 - 250*b89 - 250*b92 - x171 + x178 =G= -250;
e236.. - 250*b84 - 250*b87 - 250*b90 - 250*b93 - x173 + x180 =G= -250;
e237.. -(x170 - x169)*x184 - 200000*b82 + x166 =G= -200000;
e238.. -(x172 - x171)*x186 - 150000*b83 + x167 =G= -150000;
e239.. -(x174 - x173)*x188 - 250000*b84 + x168 =G= -250000;
e240.. -(x176 - x175)*x185 - 200000*b82 + x166 =G= -200000;
e241.. -(x178 - x177)*x187 - 150000*b83 + x167 =G= -150000;
e242.. -(x180 - x179)*x189 - 250000*b84 + x168 =G= -250000;
e243.. -(x169 - x170)*x185 - 200000*b85 + x166 =G= -200000;
e244.. -(x171 - x172)*x187 - 150000*b86 + x167 =G= -150000;
e245.. -(x173 - x174)*x189 - 250000*b87 + x168 =G= -250000;
e246.. -(x175 - x176)*x184 - 200000*b85 + x166 =G= -200000;
e247.. -(x177 - x178)*x186 - 150000*b86 + x167 =G= -150000;
e248.. -(x179 - x180)*x188 - 250000*b87 + x168 =G= -250000;
e249.. -(x185 - x184)*(x176 - x170) - 200000*b88 + x166 =G= -200000;
e250.. -(x187 - x186)*(x178 - x172) - 150000*b89 + x167 =G= -150000;
e251.. -(x189 - x188)*(x180 - x174) - 250000*b90 + x168 =G= -250000;
e252.. -(x184 - x185)*(x175 - x169) - 200000*b91 + x166 =G= -200000;
e253.. -(x186 - x187)*(x177 - x171) - 150000*b92 + x167 =G= -150000;
e254.. -(x188 - x189)*(x179 - x173) - 250000*b93 + x168 =G= -250000;
e255.. 200000*b82 + 200000*b85 + 200000*b88 + 200000*b91 - x94 - x95 - x96
- x97 - x98 - x99 + x166 =G= 0;
e256.. 150000*b83 + 150000*b86 + 150000*b89 + 150000*b92 - x103 - x104
- x105 - x106 - x107 - x108 + x167 =G= 0;
e257.. 250000*b84 + 250000*b87 + 250000*b90 + 250000*b93 - x112 - x113
- x114 - x115 - x116 - x117 + x168 =G= 0;
* set non-default bounds
x148.fx = 0;
x149.up = 250;
x150.up = 250;
x151.up = 250;
x152.up = 250;
x153.up = 250;
x154.up = 250;
x155.up = 250;
x156.up = 250;
x157.up = 500;
x158.up = 500;
x159.up = 500;
x160.up = 500;
x161.up = 500;
x162.up = 500;
x163.up = 500;
x164.up = 500;
x165.up = 500;
x169.up = 250;
x170.up = 250;
x171.up = 250;
x172.up = 250;
x173.up = 250;
x174.up = 250;
x175.up = 500;
x176.up = 500;
x177.up = 500;
x178.up = 500;
x179.up = 500;
x180.up = 500;
x181.lo = 50;
x182.lo = 100;
x183.lo = 250;
x190.lo = 5.55555555555556; x190.up = 250;
x191.lo = 16.6666666666667; x191.up = 250;
x192.lo = 22.7272727272727; x192.up = 250;
x193.lo = 100; x193.up = 250;
* set non-default levels
x184.l = 800;
x185.l = 900;
x186.l = 1200;
x187.l = 600;
x188.l = 1000;
x189.l = 1100;
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