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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance waternd2
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 1055140.00000000 (ANTIGONE) 1051292.15900000 (BARON) 1046245.94400000 (COUENNE) 1062683.46300000 (GUROBI) 1051190.77600000 (LINDO) 1062685.08400000 (SCIP) 320042.31060000 (SHOT) 1059307.03300000 (XPRESS) |
| Referencesⓘ | Ahmetović, Elvis and Grossmann, I E, Integrated Process Water Networks Design Problem, 2010. |
| Sourceⓘ | Ex_2__WaterNetwokProblem-B-Eps.gms from minlp.org model 101 |
| Applicationⓘ | Water Network Design |
| Added to libraryⓘ | 25 Sep 2013 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 232 |
| #Binary Variablesⓘ | 72 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 144 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | nonlinear |
| Objective curvatureⓘ | concave |
| #Nonzeros in Objectiveⓘ | 148 |
| #Nonlinear Nonzeros in Objectiveⓘ | 75 |
| #Constraintsⓘ | 249 |
| #Linear Constraintsⓘ | 204 |
| #Quadratic Constraintsⓘ | 45 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | vcpower |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 1002 |
| #Nonlinear Nonzeros in Jacobianⓘ | 450 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 513 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 75 |
| #Blocks in Hessian of Lagrangianⓘ | 31 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 8 |
| Average blocksize in Hessian of Lagrangianⓘ | 4.645161 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.0000e-03 |
| Maximal coefficientⓘ | 1.6800e+04 |
| Infeasibility of initial pointⓘ | 6500 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 250 105 0 145 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 233 161 72 0 0 0 0 0
* FX 11
*
* Nonzero counts
* Total const NL DLL
* 1151 626 525 0
*
* Solve m using MINLP minimizing 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,objvar,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86
,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102
,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115
,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128
,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141
,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154
,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167
,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180
,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193
,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206
,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219
,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232
,x233;
Positive Variables x75,x76,x77,x78,x79,x80,x81,x82,x88,x89,x90,x91,x92,x93
,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103,x104,x105,x106,x107
,x108,x109,x110,x111,x112,x113,x114,x115,x116,x117,x118,x119,x120
,x121,x122,x123,x124,x125,x126,x127,x128,x129,x130,x131,x132,x133
,x134,x135,x136,x137,x138,x139,x140,x141,x142,x143,x144,x145,x146
,x147,x148,x149,x150,x151,x152,x153,x154,x155,x156,x157,x162,x163
,x164,x165,x166,x167,x168,x169,x170,x171,x172,x173,x188,x189,x190
,x191,x192,x193,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203
,x204,x205,x206,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216
,x217,x218,x219,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229
,x230,x231,x232,x233;
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;
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.. -(0.1*(16800*(0.001 + x155)**0.7 + 9500*(0.001 + x156)**0.7 + 12600*(0.001
+ x157)**0.7) + 8000*x155 + 320*x156 + 53.6*x157 + 0.1*(100*(0.001 + x75)
**0.6 + 100*(0.001 + x76)**0.6 + 100*(0.001 + x77)**0.6 + 100*(0.001 + x78
)**0.6 + 100*(0.001 + x79)**0.6 + 100*(0.001 + x80)**0.6 + 100*(0.001 +
x81)**0.6 + 100*(0.001 + x82)**0.6 + 100*(0.001 + x88)**0.6 + 100*(0.001
+ x89)**0.6 + 100*(0.001 + x90)**0.6 + 100*(0.001 + x91)**0.6 + 100*(
0.001 + x92)**0.6 + 100*(0.001 + x93)**0.6 + 100*(0.001 + x94)**0.6 + 100*
(0.001 + x95)**0.6 + 100*(0.001 + x96)**0.6 + 100*(0.001 + x97)**0.6 + 100
*(0.001 + x98)**0.6 + 100*(0.001 + x99)**0.6 + 100*(0.001 + x100)**0.6 +
100*(0.001 + x101)**0.6 + 100*(0.001 + x102)**0.6 + 100*(0.001 + x103)**
0.6 + 100*(0.001 + x104)**0.6 + 100*(0.001 + x105)**0.6 + 100*(0.001 +
x106)**0.6 + 100*(0.001 + x107)**0.6 + 100*(0.001 + x108)**0.6 + 100*(
0.001 + x109)**0.6 + 100*(0.001 + x110)**0.6 + 100*(0.001 + x111)**0.6 +
100*(0.001 + x112)**0.6 + 100*(0.001 + x113)**0.6 + 100*(0.001 + x114)**
0.6 + 100*(0.001 + x115)**0.6 + 100*(0.001 + x116)**0.6 + 100*(0.001 +
x117)**0.6 + 100*(0.001 + x118)**0.6 + 100*(0.001 + x119)**0.6 + 100*(
0.001 + x120)**0.6 + 100*(0.001 + x121)**0.6 + 100*(0.001 + x122)**0.6 +
100*(0.001 + x123)**0.6 + 100*(0.001 + x124)**0.6 + 100*(0.001 + x125)**
0.6 + 100*(0.001 + x126)**0.6 + 100*(0.001 + x127)**0.6 + 100*(0.001 +
x128)**0.6 + 100*(0.001 + x129)**0.6 + 100*(0.001 + x130)**0.6 + 100*(
0.001 + x131)**0.6 + 100*(0.001 + x132)**0.6 + 100*(0.001 + x133)**0.6 +
100*(0.001 + x134)**0.6 + 100*(0.001 + x135)**0.6 + 100*(0.001 + x136)**
0.6 + 100*(0.001 + x137)**0.6 + 100*(0.001 + x138)**0.6 + 100*(0.001 +
x139)**0.6 + 100*(0.001 + x140)**0.6 + 100*(0.001 + x141)**0.6 + 100*(
0.001 + x142)**0.6 + 100*(0.001 + x149)**0.6 + 100*(0.001 + x150)**0.6 +
100*(0.001 + x151)**0.6 + 100*(0.001 + x143)**0.6 + 100*(0.001 + x144)**
0.6 + 100*(0.001 + x145)**0.6 + 100*(0.001 + x146)**0.6 + 100*(0.001 +
x147)**0.6 + 100*(0.001 + x148)**0.6) + 48*x75 + 48*x76 + 48*x77 + 48*x78
+ 48*x79 + 48*x80 + 48*x81 + 48*x82 + 48*x88 + 48*x89 + 48*x90 + 48*x91
+ 48*x92 + 48*x93 + 48*x94 + 48*x95 + 48*x96 + 48*x97 + 48*x98 + 48*x99
+ 48*x100 + 48*x101 + 48*x102 + 48*x103 + 48*x104 + 48*x105 + 48*x106 +
48*x107 + 48*x108 + 48*x109 + 48*x110 + 48*x111 + 48*x112 + 48*x113 + 48*
x114 + 48*x115 + 48*x116 + 48*x117 + 48*x118 + 48*x119 + 48*x120 + 48*x121
+ 48*x122 + 48*x123 + 48*x124 + 48*x125 + 48*x126 + 48*x127 + 48*x128 +
48*x129 + 48*x130 + 48*x131 + 48*x132 + 48*x133 + 48*x134 + 48*x135 + 48*
x136 + 48*x137 + 48*x138 + 48*x139 + 48*x140 + 48*x141 + 48*x142 + 48*x143
+ 48*x144 + 48*x145 + 48*x146 + 48*x147 + 48*x148 + 48*x149 + 48*x150 +
48*x151) - 0.6*b1 - 0.6*b2 - 0.6*b3 - 0.6*b4 - 0.6*b5 - 0.6*b6 - 0.6*b7
- 0.6*b8 - 0.6*b9 - 0.6*b10 - 0.6*b11 - 0.6*b12 - 0.6*b13 - 0.6*b14
- 0.6*b15 - 0.6*b16 - 0.6*b17 - 0.6*b18 - 0.6*b19 - 0.6*b20 - 0.6*b21
- 0.6*b22 - 0.6*b23 - 0.6*b24 - 0.6*b25 - 0.6*b26 - 0.6*b27 - 0.6*b28
- 0.6*b29 - 0.6*b30 - 0.6*b31 - 0.6*b32 - 0.6*b33 - 0.6*b34 - 0.6*b35
- 0.6*b36 - 0.6*b37 - 0.6*b38 - 0.6*b39 - 0.6*b40 - 0.6*b41 - 0.6*b42
- 0.6*b43 - 0.6*b44 - 0.6*b45 - 0.6*b46 - 0.6*b47 - 0.6*b48 - 0.6*b49
- 0.6*b50 - 0.6*b51 - 0.6*b52 - 0.6*b53 - 0.6*b54 - 0.6*b55 - 0.6*b56
- 0.6*b57 - 0.6*b58 - 0.6*b59 - 0.6*b60 - 0.6*b61 - 0.6*b62 - 0.6*b63
- 0.6*b64 - 0.6*b65 - 0.6*b66 - 0.6*b67 - 0.6*b68 - 0.6*b69 - 0.6*b70
- 0.6*b71 - 0.6*b72 + objvar - 8000*x74 =E= 0;
e2.. x74 - x75 - x76 - x77 - x78 - x79 - x80 - x81 - x82 =E= 0;
e3.. - x75 - x92 - x96 - x100 - x104 - x128 - x133 - x138 =E= -40;
e4.. - x76 - x88 - x97 - x101 - x105 - x129 - x134 - x139 =E= -50;
e5.. - x77 - x89 - x93 - x102 - x106 - x130 - x135 - x140 =E= -60;
e6.. - x78 - x90 - x94 - x98 - x107 - x131 - x136 - x141 =E= -70;
e7.. - x79 - x91 - x95 - x99 - x103 - x132 - x137 - x142 =E= -80;
e8.. -(x92*x177 + x96*x180 + x100*x183 + x104*x186 + x128*x198 + x133*x201 +
x138*x204) + 40*x159 =E= 0;
e9.. -(x92*x178 + x96*x181 + x100*x184 + x104*x187 + x128*x199 + x133*x202 +
x138*x205) + 40*x160 =E= 0;
e10.. -(x92*x179 + x96*x182 + x100*x185 + x104*x188 + x128*x200 + x133*x203 +
x138*x206) + 40*x161 =E= 0;
e11.. -(x88*x174 + x97*x180 + x101*x183 + x105*x186 + x129*x198 + x134*x201 +
x139*x204) + 50*x162 =E= 0;
e12.. -(x88*x175 + x97*x181 + x101*x184 + x105*x187 + x129*x199 + x134*x202 +
x139*x205) + 50*x163 =E= 0;
e13.. -(x88*x176 + x97*x182 + x101*x185 + x105*x188 + x129*x200 + x134*x203 +
x139*x206) + 50*x164 =E= 0;
e14.. -(x89*x174 + x93*x177 + x102*x183 + x106*x186 + x130*x198 + x135*x201 +
x140*x204) + 60*x165 =E= 0;
e15.. -(x89*x175 + x93*x178 + x102*x184 + x106*x187 + x130*x199 + x135*x202 +
x140*x205) + 60*x166 =E= 0;
e16.. -(x89*x176 + x93*x179 + x102*x185 + x106*x188 + x130*x200 + x135*x203 +
x140*x206) + 60*x167 =E= 0;
e17.. -(x90*x174 + x94*x177 + x98*x180 + x107*x186 + x131*x198 + x136*x201 +
x141*x204) + 70*x168 =E= 0;
e18.. -(x90*x175 + x94*x178 + x98*x181 + x107*x187 + x131*x199 + x136*x202 +
x141*x205) + 70*x169 =E= 0;
e19.. -(x90*x176 + x94*x179 + x98*x182 + x107*x188 + x131*x200 + x136*x203 +
x141*x206) + 70*x170 =E= 0;
e20.. -(x91*x174 + x95*x177 + x99*x180 + x103*x183 + x132*x198 + x137*x201 +
x142*x204) + 80*x171 =E= 0;
e21.. -(x91*x175 + x95*x178 + x99*x181 + x103*x184 + x132*x199 + x137*x202 +
x142*x205) + 80*x172 =E= 0;
e22.. -(x91*x176 + x95*x179 + x99*x182 + x103*x185 + x132*x200 + x137*x203 +
x142*x206) + 80*x173 =E= 0;
e23.. - x83 =E= -40;
e24.. - x84 =E= -50;
e25.. - x85 =E= -60;
e26.. - x86 =E= -70;
e27.. - x87 =E= -80;
e28.. -x83*x174 + 40*x159 =E= -1000;
e29.. -x83*x175 + 40*x160 =E= -1500;
e30.. -x83*x176 + 40*x161 =E= -1000;
e31.. -x84*x177 + 50*x162 =E= -1000;
e32.. -x84*x178 + 50*x163 =E= -1000;
e33.. -x84*x179 + 50*x164 =E= -1000;
e34.. -x85*x180 + 60*x165 =E= -1000;
e35.. -x85*x181 + 60*x166 =E= -1000;
e36.. -x85*x182 + 60*x167 =E= -1000;
e37.. -x86*x183 + 70*x168 =E= -2000;
e38.. -x86*x184 + 70*x169 =E= -2000;
e39.. -x86*x185 + 70*x170 =E= -2000;
e40.. -x87*x186 + 80*x171 =E= -1000;
e41.. -x87*x187 + 80*x172 =E= -1000;
e42.. -x87*x188 + 80*x173 =E= 0;
e43.. x83 - x88 - x89 - x90 - x91 - x108 - x109 - x110 - x123 =E= 0;
e44.. x84 - x92 - x93 - x94 - x95 - x111 - x112 - x113 - x124 =E= 0;
e45.. x85 - x96 - x97 - x98 - x99 - x114 - x115 - x116 - x125 =E= 0;
e46.. x86 - x100 - x101 - x102 - x103 - x117 - x118 - x119 - x126 =E= 0;
e47.. x87 - x104 - x105 - x106 - x107 - x120 - x121 - x122 - x127 =E= 0;
e48.. - x174 + x207 =E= 0;
e49.. - x175 + x208 =E= 0;
e50.. - x176 + x209 =E= 0;
e51.. - x177 + x210 =E= 0;
e52.. - x178 + x211 =E= 0;
e53.. - x179 + x212 =E= 0;
e54.. - x180 + x213 =E= 0;
e55.. - x181 + x214 =E= 0;
e56.. - x182 + x215 =E= 0;
e57.. - x183 + x216 =E= 0;
e58.. - x184 + x217 =E= 0;
e59.. - x185 + x218 =E= 0;
e60.. - x186 + x219 =E= 0;
e61.. - x187 + x220 =E= 0;
e62.. - x188 + x221 =E= 0;
e63.. - x80 - x108 - x111 - x114 - x117 - x120 - x145 - x147 + x152 =E= 0;
e64.. - x81 - x109 - x112 - x115 - x118 - x121 - x143 - x148 + x153 =E= 0;
e65.. - x82 - x110 - x113 - x116 - x119 - x122 - x144 - x146 + x154 =E= 0;
e66.. x152*x189 - (x145*x225 + x147*x228 + x108*x207 + x111*x210 + x114*x213 +
x117*x216 + x120*x219) =E= 0;
e67.. x152*x190 - (x145*x226 + x147*x229 + x108*x208 + x111*x211 + x114*x214 +
x117*x217 + x120*x220) =E= 0;
e68.. x152*x191 - (x145*x227 + x147*x230 + x108*x209 + x111*x212 + x114*x215 +
x117*x218 + x120*x221) =E= 0;
e69.. x153*x192 - (x143*x222 + x148*x228 + x109*x207 + x112*x210 + x115*x213 +
x118*x216 + x121*x219) =E= 0;
e70.. x153*x193 - (x143*x223 + x148*x229 + x109*x208 + x112*x211 + x115*x214 +
x118*x217 + x121*x220) =E= 0;
e71.. x153*x194 - (x143*x224 + x148*x230 + x109*x209 + x112*x212 + x115*x215 +
x118*x218 + x121*x221) =E= 0;
e72.. x154*x195 - (x144*x222 + x146*x225 + x110*x207 + x113*x210 + x116*x213 +
x119*x216 + x122*x219) =E= 0;
e73.. x154*x196 - (x144*x223 + x146*x226 + x110*x208 + x113*x211 + x116*x214 +
x119*x217 + x122*x220) =E= 0;
e74.. x154*x197 - (x144*x224 + x146*x227 + x110*x209 + x113*x212 + x116*x215 +
x119*x218 + x122*x221) =E= 0;
e75.. x152 - x155 =E= 0;
e76.. x153 - x156 =E= 0;
e77.. x154 - x157 =E= 0;
e78.. - 0.0499999999999999*x189 + x198 =E= 0;
e79.. - x190 + x199 =E= 0;
e80.. - x191 + x200 =E= 0;
e81.. - x192 + x201 =E= 0;
e82.. - x193 + x202 =E= 0;
e83.. - 0.0499999999999999*x194 + x203 =E= 0;
e84.. - x195 + x204 =E= 0;
e85.. - 0.0499999999999999*x196 + x205 =E= 0;
e86.. - x197 + x206 =E= 0;
e87.. - x128 - x129 - x130 - x131 - x132 - x143 - x144 - x149 + x155 =E= 0;
e88.. - x133 - x134 - x135 - x136 - x137 - x145 - x146 - x150 + x156 =E= 0;
e89.. - x138 - x139 - x140 - x141 - x142 - x147 - x148 - x151 + x157 =E= 0;
e90.. - x198 + x222 =E= 0;
e91.. - x199 + x223 =E= 0;
e92.. - x200 + x224 =E= 0;
e93.. - x201 + x225 =E= 0;
e94.. - x202 + x226 =E= 0;
e95.. - x203 + x227 =E= 0;
e96.. - x204 + x228 =E= 0;
e97.. - x205 + x229 =E= 0;
e98.. - x206 + x230 =E= 0;
e99.. - x123 - x124 - x125 - x126 - x127 - x149 - x150 - x151 + x158 =E= 0;
e100.. x158*x231 - (x123*x207 + x124*x210 + x125*x213 + x126*x216 + x127*x219
+ x149*x222 + x150*x225 + x151*x228) =E= 0;
e101.. x158*x232 - (x123*x208 + x124*x211 + x125*x214 + x126*x217 + x127*x220
+ x149*x223 + x150*x226 + x151*x229) =E= 0;
e102.. x158*x233 - (x123*x209 + x124*x212 + x125*x215 + x126*x218 + x127*x221
+ x149*x224 + x150*x227 + x151*x230) =E= 0;
e103.. -(0.95*x152*x189 + x158*x231) =E= -6000;
e104.. -(0.95*x154*x196 + x158*x232) =E= -6500;
e105.. -(0.95*x153*x194 + x158*x233) =E= -5000;
e106.. - 40*b58 + x128 =L= 0;
e107.. - 50*b59 + x129 =L= 0;
e108.. - 60*b60 + x130 =L= 0;
e109.. - 70*b61 + x131 =L= 0;
e110.. - 80*b62 + x132 =L= 0;
e111.. - 40*b63 + x133 =L= 0;
e112.. - 50*b64 + x134 =L= 0;
e113.. - 60*b65 + x135 =L= 0;
e114.. - 70*b66 + x136 =L= 0;
e115.. - 80*b67 + x137 =L= 0;
e116.. - 40*b68 + x138 =L= 0;
e117.. - 50*b69 + x139 =L= 0;
e118.. - 60*b70 + x140 =L= 0;
e119.. - 70*b71 + x141 =L= 0;
e120.. - 80*b72 + x142 =L= 0;
e121.. - x128 =L= 0;
e122.. - x129 =L= 0;
e123.. - x130 =L= 0;
e124.. - x131 =L= 0;
e125.. - x132 =L= 0;
e126.. - x133 =L= 0;
e127.. - x134 =L= 0;
e128.. - x135 =L= 0;
e129.. - x136 =L= 0;
e130.. - x137 =L= 0;
e131.. - x138 =L= 0;
e132.. - x139 =L= 0;
e133.. - x140 =L= 0;
e134.. - x141 =L= 0;
e135.. - x142 =L= 0;
e136.. - 40*b9 + x88 =L= 0;
e137.. - 40*b10 + x89 =L= 0;
e138.. - 40*b11 + x90 =L= 0;
e139.. - 40*b12 + x91 =L= 0;
e140.. - 40*b13 + x92 =L= 0;
e141.. - 50*b14 + x93 =L= 0;
e142.. - 50*b15 + x94 =L= 0;
e143.. - 50*b16 + x95 =L= 0;
e144.. - 40*b17 + x96 =L= 0;
e145.. - 50*b18 + x97 =L= 0;
e146.. - 60*b19 + x98 =L= 0;
e147.. - 60*b20 + x99 =L= 0;
e148.. - 40*b21 + x100 =L= 0;
e149.. - 50*b22 + x101 =L= 0;
e150.. - 60*b23 + x102 =L= 0;
e151.. - 70*b24 + x103 =L= 0;
e152.. - 40*b25 + x104 =L= 0;
e153.. - 50*b26 + x105 =L= 0;
e154.. - 60*b27 + x106 =L= 0;
e155.. - 70*b28 + x107 =L= 0;
e156.. - x88 =L= 0;
e157.. - x89 =L= 0;
e158.. - x90 =L= 0;
e159.. - x91 =L= 0;
e160.. - x92 =L= 0;
e161.. - x93 =L= 0;
e162.. - x94 =L= 0;
e163.. - x95 =L= 0;
e164.. - x96 =L= 0;
e165.. - x97 =L= 0;
e166.. - x98 =L= 0;
e167.. - x99 =L= 0;
e168.. - x100 =L= 0;
e169.. - x101 =L= 0;
e170.. - x102 =L= 0;
e171.. - x103 =L= 0;
e172.. - x104 =L= 0;
e173.. - x105 =L= 0;
e174.. - x106 =L= 0;
e175.. - x107 =L= 0;
e176.. - 40*b29 + x108 =L= 0;
e177.. - 40*b30 + x109 =L= 0;
e178.. - 40*b31 + x110 =L= 0;
e179.. - 50*b32 + x111 =L= 0;
e180.. - 50*b33 + x112 =L= 0;
e181.. - 50*b34 + x113 =L= 0;
e182.. - 60*b35 + x114 =L= 0;
e183.. - 60*b36 + x115 =L= 0;
e184.. - 60*b37 + x116 =L= 0;
e185.. - 70*b38 + x117 =L= 0;
e186.. - 70*b39 + x118 =L= 0;
e187.. - 70*b40 + x119 =L= 0;
e188.. - 80*b41 + x120 =L= 0;
e189.. - 80*b42 + x121 =L= 0;
e190.. - 80*b43 + x122 =L= 0;
e191.. - x108 =L= 0;
e192.. - x109 =L= 0;
e193.. - x110 =L= 0;
e194.. - x111 =L= 0;
e195.. - x112 =L= 0;
e196.. - x113 =L= 0;
e197.. - x114 =L= 0;
e198.. - x115 =L= 0;
e199.. - x116 =L= 0;
e200.. - x117 =L= 0;
e201.. - x118 =L= 0;
e202.. - x119 =L= 0;
e203.. - x120 =L= 0;
e204.. - x121 =L= 0;
e205.. - x122 =L= 0;
e206.. - 40*b44 + x123 =L= 0;
e207.. - 50*b45 + x124 =L= 0;
e208.. - 60*b46 + x125 =L= 0;
e209.. - 70*b47 + x126 =L= 0;
e210.. - 80*b48 + x127 =L= 0;
e211.. - x123 =L= 0;
e212.. - x124 =L= 0;
e213.. - x125 =L= 0;
e214.. - x126 =L= 0;
e215.. - x127 =L= 0;
e216.. - 300*b49 + x149 =L= 0;
e217.. - 300*b50 + x150 =L= 0;
e218.. - 300*b51 + x151 =L= 0;
e219.. - x149 =L= 0;
e220.. - x150 =L= 0;
e221.. - x151 =L= 0;
e222.. - 300*b52 + x143 =L= 0;
e223.. - 300*b53 + x144 =L= 0;
e224.. - 300*b54 + x145 =L= 0;
e225.. - 300*b55 + x146 =L= 0;
e226.. - 300*b56 + x147 =L= 0;
e227.. - 300*b57 + x148 =L= 0;
e228.. - x143 =L= 0;
e229.. - x144 =L= 0;
e230.. - x145 =L= 0;
e231.. - x146 =L= 0;
e232.. - x147 =L= 0;
e233.. - x148 =L= 0;
e234.. - 40*b1 + x75 =L= 0;
e235.. - 50*b2 + x76 =L= 0;
e236.. - 60*b3 + x77 =L= 0;
e237.. - 70*b4 + x78 =L= 0;
e238.. - 80*b5 + x79 =L= 0;
e239.. - x75 =L= 0;
e240.. - x76 =L= 0;
e241.. - x77 =L= 0;
e242.. - x78 =L= 0;
e243.. - x79 =L= 0;
e244.. - 300*b6 + x80 =L= 0;
e245.. - 300*b7 + x81 =L= 0;
e246.. - 300*b8 + x82 =L= 0;
e247.. - x80 =L= 0;
e248.. - x81 =L= 0;
e249.. - x82 =L= 0;
e250.. 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
=L= 72;
* set non-default bounds
x74.lo = 40; x74.up = 300;
x75.up = 40;
x76.up = 50;
x77.up = 60;
x78.up = 70;
x79.up = 80;
x80.up = 300;
x81.up = 300;
x82.up = 300;
x83.fx = 40;
x84.fx = 50;
x85.fx = 60;
x86.fx = 70;
x87.fx = 80;
x88.up = 40;
x89.up = 40;
x90.up = 40;
x91.up = 40;
x92.up = 40;
x93.up = 50;
x94.up = 50;
x95.up = 50;
x96.up = 40;
x97.up = 50;
x98.up = 60;
x99.up = 60;
x100.up = 40;
x101.up = 50;
x102.up = 60;
x103.up = 70;
x104.up = 40;
x105.up = 50;
x106.up = 60;
x107.up = 70;
x108.up = 40;
x109.up = 40;
x110.up = 40;
x111.up = 50;
x112.up = 50;
x113.up = 50;
x114.up = 60;
x115.up = 60;
x116.up = 60;
x117.up = 70;
x118.up = 70;
x119.up = 70;
x120.up = 80;
x121.up = 80;
x122.up = 80;
x123.up = 40;
x124.up = 50;
x125.up = 60;
x126.up = 70;
x127.up = 80;
x128.up = 40;
x129.up = 50;
x130.up = 60;
x131.up = 70;
x132.up = 80;
x133.up = 40;
x134.up = 50;
x135.up = 60;
x136.up = 70;
x137.up = 80;
x138.up = 40;
x139.up = 50;
x140.up = 60;
x141.up = 70;
x142.up = 80;
x143.up = 300;
x144.up = 300;
x145.up = 300;
x146.up = 300;
x147.up = 300;
x148.up = 300;
x149.up = 300;
x150.up = 300;
x151.up = 300;
x152.up = 300;
x153.up = 300;
x154.up = 300;
x155.up = 300;
x156.up = 300;
x157.up = 300;
x158.lo = 40; x158.up = 300;
x159.fx = 0;
x160.fx = 0;
x161.fx = 0;
x162.up = 50;
x163.up = 50;
x164.up = 50;
x165.up = 50;
x166.up = 50;
x167.up = 50;
x168.up = 50;
x169.up = 50;
x170.up = 50;
x171.up = 25;
x172.up = 25;
x173.up = 25;
x174.fx = 25;
x175.fx = 37.5;
x176.fx = 25;
x177.lo = 20; x177.up = 70;
x178.lo = 20; x178.up = 70;
x179.lo = 20; x179.up = 70;
x180.lo = 16.6666666666667; x180.up = 66.6666666666667;
x181.lo = 16.6666666666667; x181.up = 66.6666666666667;
x182.lo = 16.6666666666667; x182.up = 66.6666666666667;
x183.lo = 28.5714285714286; x183.up = 78.5714285714286;
x184.lo = 28.5714285714286; x184.up = 78.5714285714286;
x185.lo = 28.5714285714286; x185.up = 78.5714285714286;
x186.lo = 12.5; x186.up = 37.5;
x187.lo = 12.5; x187.up = 37.5;
x188.up = 25;
x189.up = 78.5714285714286;
x190.up = 78.5714285714286;
x191.up = 78.5714285714286;
x192.up = 78.5714285714286;
x193.up = 78.5714285714286;
x194.up = 78.5714285714286;
x195.up = 78.5714285714286;
x196.up = 78.5714285714286;
x197.up = 78.5714285714286;
x198.up = 3.92857142857142;
x199.up = 78.5714285714286;
x200.up = 78.5714285714286;
x201.up = 78.5714285714286;
x202.up = 78.5714285714286;
x203.up = 3.92857142857142;
x204.up = 78.5714285714286;
x205.up = 3.92857142857142;
x206.up = 78.5714285714286;
x207.up = 25;
x208.up = 37.5;
x209.up = 25;
x210.up = 70;
x211.up = 70;
x212.up = 70;
x213.up = 66.6666666666667;
x214.up = 66.6666666666667;
x215.up = 66.6666666666667;
x216.up = 78.5714285714286;
x217.up = 78.5714285714286;
x218.up = 78.5714285714286;
x219.up = 37.5;
x220.up = 37.5;
x221.up = 25;
x222.up = 3.92857142857142;
x223.up = 78.5714285714286;
x224.up = 78.5714285714286;
x225.up = 78.5714285714286;
x226.up = 78.5714285714286;
x227.up = 3.92857142857142;
x228.up = 78.5714285714286;
x229.up = 3.92857142857142;
x230.up = 78.5714285714286;
x231.up = 10;
x232.up = 10;
x233.up = 10;
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% minimizing objvar;
Last updated: 2025-08-07 Git hash: e62cedfc