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Instance heatexch_spec3
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 64141.64418000 (ANTIGONE) 64141.64425000 (BARON) 58401.20286000 (COUENNE) 58575.71090000 (GUROBI) 55662.64115000 (LINDO) 63595.49388000 (SCIP) 3.03020743 (SHOT) 59943.89878000 (XPRESS) |
| Referencesⓘ | Escobar, Marcelo and Grossmann, I E, Mixed-Integer Nonlinear Programming Models for Optimal Simultaneous Synthesis of Heat Exchangers Network, 2010. |
| Sourceⓘ | Specilized_Model_Case3_NLP_Improvement.gms from minlp.org model 93 |
| Applicationⓘ | Heat Exchanger Network |
| Added to libraryⓘ | 25 Sep 2013 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 260 |
| #Binary Variablesⓘ | 60 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 170 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | nonlinear |
| Objective curvatureⓘ | indefinite |
| #Nonzeros in Objectiveⓘ | 230 |
| #Nonlinear Nonzeros in Objectiveⓘ | 170 |
| #Constraintsⓘ | 250 |
| #Linear Constraintsⓘ | 250 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | div mul vcpower |
| Constraints curvatureⓘ | linear |
| #Nonzeros in Jacobianⓘ | 870 |
| #Nonlinear Nonzeros in Jacobianⓘ | 0 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 570 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 170 |
| #Blocks in Hessian of Lagrangianⓘ | 56 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 10 |
| Average blocksize in Hessian of Lagrangianⓘ | 3.035714 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.0000e-06 |
| Maximal coefficientⓘ | 4.0000e+03 |
| Infeasibility of initial pointⓘ | 1.151e+04 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 251 51 30 170 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 261 201 60 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1101 931 170 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,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70
,x71,x72,x73,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
,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,objvar;
Positive Variables 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;
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;
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;
e1.. 8.8*x61 - 8.8*x62 - x91 - x94 - x97 - x100 - x103 =E= 0;
e2.. 8.8*x62 - 8.8*x63 - x92 - x95 - x98 - x101 - x104 =E= 0;
e3.. 10.6*x64 - 10.6*x65 - x106 - x109 - x112 - x115 - x118 =E= 0;
e4.. 10.6*x65 - 10.6*x66 - x107 - x110 - x113 - x116 - x119 =E= 0;
e5.. 14.8*x67 - 14.8*x68 - x121 - x124 - x127 - x130 - x133 =E= 0;
e6.. 14.8*x68 - 14.8*x69 - x122 - x125 - x128 - x131 - x134 =E= 0;
e7.. 12.6*x70 - 12.6*x71 - x136 - x139 - x142 - x145 - x148 =E= 0;
e8.. 12.6*x71 - 12.6*x72 - x137 - x140 - x143 - x146 - x149 =E= 0;
e9.. 17.7*x73 - 17.7*x74 - x151 - x154 - x157 - x160 - x163 =E= 0;
e10.. 17.7*x74 - 17.7*x75 - x152 - x155 - x158 - x161 - x164 =E= 0;
e11.. 7.6*x76 - 7.6*x77 - x91 - x106 - x121 - x136 - x151 =E= 0;
e12.. 7.6*x77 - 7.6*x78 - x92 - x107 - x122 - x137 - x152 =E= 0;
e13.. 6.1*x79 - 6.1*x80 - x94 - x109 - x124 - x139 - x154 =E= 0;
e14.. 6.1*x80 - 6.1*x81 - x95 - x110 - x125 - x140 - x155 =E= 0;
e15.. 8.4*x82 - 8.4*x83 - x97 - x112 - x127 - x142 - x157 =E= 0;
e16.. 8.4*x83 - 8.4*x84 - x98 - x113 - x128 - x143 - x158 =E= 0;
e17.. 17.3*x85 - 17.3*x86 - x100 - x115 - x130 - x145 - x160 =E= 0;
e18.. 17.3*x86 - 17.3*x87 - x101 - x116 - x131 - x146 - x161 =E= 0;
e19.. 13.9*x88 - 13.9*x89 - x103 - x118 - x133 - x148 - x163 =E= 0;
e20.. 13.9*x89 - 13.9*x90 - x104 - x119 - x134 - x149 - x164 =E= 0;
e21.. 8.8*x63 - x166 =E= 821.04;
e22.. 10.6*x66 - x167 =E= 1460.68;
e23.. 14.8*x69 - x168 =E= 970.88;
e24.. 12.6*x72 - x169 =E= 1876.14;
e25.. 17.7*x75 - x170 =E= 1161.12;
e26.. - x91 - x92 - x94 - x95 - x97 - x98 - x100 - x101 - x103 - x104 - x166
=E= -586.96;
e27.. - x106 - x107 - x109 - x110 - x112 - x113 - x115 - x116 - x118 - x119
- x167 =E= -1177.66;
e28.. - x121 - x122 - x124 - x125 - x127 - x128 - x130 - x131 - x133 - x134
- x168 =E= -2384.28;
e29.. - x136 - x137 - x139 - x140 - x142 - x143 - x145 - x146 - x148 - x149
- x169 =E= -1539.72;
e30.. - x151 - x152 - x154 - x155 - x157 - x158 - x160 - x161 - x163 - x164
- x170 =E= -2359.41;
e31.. - 7.6*x76 - x171 =E= -1216;
e32.. - 6.1*x79 - x172 =E= -1352.37;
e33.. - 8.4*x82 - x173 =E= -1857.24;
e34.. - 17.3*x85 - x174 =E= -3056.91;
e35.. - 13.9*x88 - x175 =E= -2841.16;
e36.. - x91 - x92 - x106 - x107 - x121 - x122 - x136 - x137 - x151 - x152
- x171 =E= -760;
e37.. - x94 - x95 - x109 - x110 - x124 - x125 - x139 - x140 - x154 - x155
- x172 =E= -647.21;
e38.. - x97 - x98 - x112 - x113 - x127 - x128 - x142 - x143 - x157 - x158
- x173 =E= -1539.72;
e39.. - x100 - x101 - x115 - x116 - x130 - x131 - x145 - x146 - x160 - x161
- x174 =E= -1634.85;
e40.. - x103 - x104 - x118 - x119 - x133 - x134 - x148 - x149 - x163 - x164
- x175 =E= -1544.29;
e41.. x61 - x62 =G= 0;
e42.. x62 - x63 =G= 0;
e43.. x64 - x65 =G= 0;
e44.. x65 - x66 =G= 0;
e45.. x67 - x68 =G= 0;
e46.. x68 - x69 =G= 0;
e47.. x70 - x71 =G= 0;
e48.. x71 - x72 =G= 0;
e49.. x73 - x74 =G= 0;
e50.. x74 - x75 =G= 0;
e51.. x76 - x77 =G= 0;
e52.. x77 - x78 =G= 0;
e53.. x79 - x80 =G= 0;
e54.. x80 - x81 =G= 0;
e55.. x82 - x83 =G= 0;
e56.. x83 - x84 =G= 0;
e57.. x85 - x86 =G= 0;
e58.. x86 - x87 =G= 0;
e59.. x88 - x89 =G= 0;
e60.. x89 - x90 =G= 0;
e61.. x63 =G= 93.3;
e62.. x66 =G= 137.8;
e63.. x69 =G= 65.6;
e64.. x72 =G= 148.9;
e65.. x75 =G= 65.6;
e66.. - x76 =G= -160;
e67.. - x79 =G= -221.7;
e68.. - x82 =G= -221.1;
e69.. - x85 =G= -176.7;
e70.. - x88 =G= -204.4;
e71.. - x61 =E= -160;
e72.. - x64 =E= -248.9;
e73.. - x67 =E= -226.7;
e74.. - x70 =E= -271.1;
e75.. - x73 =E= -198.9;
e76.. - x78 =E= -60;
e77.. - x81 =E= -115.6;
e78.. - x84 =E= -37.8;
e79.. - x87 =E= -82.2;
e80.. - x90 =E= -93.3;
e81.. - 586.96*b1 + x91 =L= 0;
e82.. - 586.96*b2 + x92 =L= 0;
e83.. - 586.96*b3 + x94 =L= 0;
e84.. - 586.96*b4 + x95 =L= 0;
e85.. - 586.96*b5 + x97 =L= 0;
e86.. - 586.96*b6 + x98 =L= 0;
e87.. - 586.96*b7 + x100 =L= 0;
e88.. - 586.96*b8 + x101 =L= 0;
e89.. - 586.96*b9 + x103 =L= 0;
e90.. - 586.96*b10 + x104 =L= 0;
e91.. - 760*b11 + x106 =L= 0;
e92.. - 760*b12 + x107 =L= 0;
e93.. - 647.21*b13 + x109 =L= 0;
e94.. - 647.21*b14 + x110 =L= 0;
e95.. - 1177.66*b15 + x112 =L= 0;
e96.. - 1177.66*b16 + x113 =L= 0;
e97.. - 1177.66*b17 + x115 =L= 0;
e98.. - 1177.66*b18 + x116 =L= 0;
e99.. - 1177.66*b19 + x118 =L= 0;
e100.. - 1177.66*b20 + x119 =L= 0;
e101.. - 760*b21 + x121 =L= 0;
e102.. - 760*b22 + x122 =L= 0;
e103.. - 647.21*b23 + x124 =L= 0;
e104.. - 647.21*b24 + x125 =L= 0;
e105.. - 1539.72*b25 + x127 =L= 0;
e106.. - 1539.72*b26 + x128 =L= 0;
e107.. - 1634.85*b27 + x130 =L= 0;
e108.. - 1634.85*b28 + x131 =L= 0;
e109.. - 1544.29*b29 + x133 =L= 0;
e110.. - 1544.29*b30 + x134 =L= 0;
e111.. - 760*b31 + x136 =L= 0;
e112.. - 760*b32 + x137 =L= 0;
e113.. - 647.21*b33 + x139 =L= 0;
e114.. - 647.21*b34 + x140 =L= 0;
e115.. - 1539.72*b35 + x142 =L= 0;
e116.. - 1539.72*b36 + x143 =L= 0;
e117.. - 1539.72*b37 + x145 =L= 0;
e118.. - 1539.72*b38 + x146 =L= 0;
e119.. - 1539.72*b39 + x148 =L= 0;
e120.. - 1539.72*b40 + x149 =L= 0;
e121.. - 760*b41 + x151 =L= 0;
e122.. - 760*b42 + x152 =L= 0;
e123.. - 647.21*b43 + x154 =L= 0;
e124.. - 647.21*b44 + x155 =L= 0;
e125.. - 1539.72*b45 + x157 =L= 0;
e126.. - 1539.72*b46 + x158 =L= 0;
e127.. - 1634.85*b47 + x160 =L= 0;
e128.. - 1634.85*b48 + x161 =L= 0;
e129.. - 1544.29*b49 + x163 =L= 0;
e130.. - 1544.29*b50 + x164 =L= 0;
e131.. - 760*b56 + x171 =L= 0;
e132.. - 647.21*b57 + x172 =L= 0;
e133.. - 1539.72*b58 + x173 =L= 0;
e134.. - 1634.85*b59 + x174 =L= 0;
e135.. - 1544.29*b60 + x175 =L= 0;
e136.. - 586.96*b51 + x166 =L= 0;
e137.. - 1177.66*b52 + x167 =L= 0;
e138.. - 2384.28*b53 + x168 =L= 0;
e139.. - 1539.72*b54 + x169 =L= 0;
e140.. - 2359.41*b55 + x170 =L= 0;
e141.. 66.7*b1 - x61 + x76 + x176 =L= 66.7;
e142.. 66.7*b2 - x62 + x77 + x177 =L= 66.7;
e143.. 128.4*b3 - x61 + x79 + x179 =L= 128.4;
e144.. 128.4*b4 - x62 + x80 + x180 =L= 128.4;
e145.. 127.8*b5 - x61 + x82 + x182 =L= 127.8;
e146.. 127.8*b6 - x62 + x83 + x183 =L= 127.8;
e147.. 83.4*b7 - x61 + x85 + x185 =L= 83.4;
e148.. 83.4*b8 - x62 + x86 + x186 =L= 83.4;
e149.. 111.1*b9 - x61 + x88 + x188 =L= 111.1;
e150.. 111.1*b10 - x62 + x89 + x189 =L= 111.1;
e151.. 22.2*b11 - x64 + x76 + x191 =L= 22.2;
e152.. 22.2*b12 - x65 + x77 + x192 =L= 22.2;
e153.. 83.9*b13 - x64 + x79 + x194 =L= 83.9;
e154.. 83.9*b14 - x65 + x80 + x195 =L= 83.9;
e155.. 83.3*b15 - x64 + x82 + x197 =L= 83.3;
e156.. 83.3*b16 - x65 + x83 + x198 =L= 83.3;
e157.. 38.9*b17 - x64 + x85 + x200 =L= 38.9;
e158.. 38.9*b18 - x65 + x86 + x201 =L= 38.9;
e159.. 66.6*b19 - x64 + x88 + x203 =L= 66.6;
e160.. 66.6*b20 - x65 + x89 + x204 =L= 66.6;
e161.. 94.4*b21 - x67 + x76 + x206 =L= 94.4;
e162.. 94.4*b22 - x68 + x77 + x207 =L= 94.4;
e163.. 156.1*b23 - x67 + x79 + x209 =L= 156.1;
e164.. 156.1*b24 - x68 + x80 + x210 =L= 156.1;
e165.. 155.5*b25 - x67 + x82 + x212 =L= 155.5;
e166.. 155.5*b26 - x68 + x83 + x213 =L= 155.5;
e167.. 111.1*b27 - x67 + x85 + x215 =L= 111.1;
e168.. 111.1*b28 - x68 + x86 + x216 =L= 111.1;
e169.. 138.8*b29 - x67 + x88 + x218 =L= 138.8;
e170.. 138.8*b30 - x68 + x89 + x219 =L= 138.8;
e171.. 11.1*b31 - x70 + x76 + x221 =L= 11.1;
e172.. 11.1*b32 - x71 + x77 + x222 =L= 11.1;
e173.. 72.8*b33 - x70 + x79 + x224 =L= 72.8;
e174.. 72.8*b34 - x71 + x80 + x225 =L= 72.8;
e175.. 72.2*b35 - x70 + x82 + x227 =L= 72.2;
e176.. 72.2*b36 - x71 + x83 + x228 =L= 72.2;
e177.. 27.8*b37 - x70 + x85 + x230 =L= 27.8;
e178.. 27.8*b38 - x71 + x86 + x231 =L= 27.8;
e179.. 55.5*b39 - x70 + x88 + x233 =L= 55.5;
e180.. 55.5*b40 - x71 + x89 + x234 =L= 55.5;
e181.. 94.4*b41 - x73 + x76 + x236 =L= 94.4;
e182.. 94.4*b42 - x74 + x77 + x237 =L= 94.4;
e183.. 156.1*b43 - x73 + x79 + x239 =L= 156.1;
e184.. 156.1*b44 - x74 + x80 + x240 =L= 156.1;
e185.. 155.5*b45 - x73 + x82 + x242 =L= 155.5;
e186.. 155.5*b46 - x74 + x83 + x243 =L= 155.5;
e187.. 111.1*b47 - x73 + x85 + x245 =L= 111.1;
e188.. 111.1*b48 - x74 + x86 + x246 =L= 111.1;
e189.. 138.8*b49 - x73 + x88 + x248 =L= 138.8;
e190.. 138.8*b50 - x74 + x89 + x249 =L= 138.8;
e191.. 66.7*b1 - x62 + x77 + x177 =L= 66.7;
e192.. 66.7*b2 - x63 + x78 + x178 =L= 66.7;
e193.. 128.4*b3 - x62 + x80 + x180 =L= 128.4;
e194.. 128.4*b4 - x63 + x81 + x181 =L= 128.4;
e195.. 127.8*b5 - x62 + x83 + x183 =L= 127.8;
e196.. 127.8*b6 - x63 + x84 + x184 =L= 127.8;
e197.. 83.4*b7 - x62 + x86 + x186 =L= 83.4;
e198.. 83.4*b8 - x63 + x87 + x187 =L= 83.4;
e199.. 111.1*b9 - x62 + x89 + x189 =L= 111.1;
e200.. 111.1*b10 - x63 + x90 + x190 =L= 111.1;
e201.. 22.2*b11 - x65 + x77 + x192 =L= 22.2;
e202.. 22.2*b12 - x66 + x78 + x193 =L= 22.2;
e203.. 83.9*b13 - x65 + x80 + x195 =L= 83.9;
e204.. 83.9*b14 - x66 + x81 + x196 =L= 83.9;
e205.. 83.3*b15 - x65 + x83 + x198 =L= 83.3;
e206.. 83.3*b16 - x66 + x84 + x199 =L= 83.3;
e207.. 38.9*b17 - x65 + x86 + x201 =L= 38.9;
e208.. 38.9*b18 - x66 + x87 + x202 =L= 38.9;
e209.. 66.6*b19 - x65 + x89 + x204 =L= 66.6;
e210.. 66.6*b20 - x66 + x90 + x205 =L= 66.6;
e211.. 94.4*b21 - x68 + x77 + x207 =L= 94.4;
e212.. 94.4*b22 - x69 + x78 + x208 =L= 94.4;
e213.. 156.1*b23 - x68 + x80 + x210 =L= 156.1;
e214.. 156.1*b24 - x69 + x81 + x211 =L= 156.1;
e215.. 155.5*b25 - x68 + x83 + x213 =L= 155.5;
e216.. 155.5*b26 - x69 + x84 + x214 =L= 155.5;
e217.. 111.1*b27 - x68 + x86 + x216 =L= 111.1;
e218.. 111.1*b28 - x69 + x87 + x217 =L= 111.1;
e219.. 138.8*b29 - x68 + x89 + x219 =L= 138.8;
e220.. 138.8*b30 - x69 + x90 + x220 =L= 138.8;
e221.. 11.1*b31 - x71 + x77 + x222 =L= 11.1;
e222.. 11.1*b32 - x72 + x78 + x223 =L= 11.1;
e223.. 72.8*b33 - x71 + x80 + x225 =L= 72.8;
e224.. 72.8*b34 - x72 + x81 + x226 =L= 72.8;
e225.. 72.2*b35 - x71 + x83 + x228 =L= 72.2;
e226.. 72.2*b36 - x72 + x84 + x229 =L= 72.2;
e227.. 27.8*b37 - x71 + x86 + x231 =L= 27.8;
e228.. 27.8*b38 - x72 + x87 + x232 =L= 27.8;
e229.. 55.5*b39 - x71 + x89 + x234 =L= 55.5;
e230.. 55.5*b40 - x72 + x90 + x235 =L= 55.5;
e231.. 94.4*b41 - x74 + x77 + x237 =L= 94.4;
e232.. 94.4*b42 - x75 + x78 + x238 =L= 94.4;
e233.. 156.1*b43 - x74 + x80 + x240 =L= 156.1;
e234.. 156.1*b44 - x75 + x81 + x241 =L= 156.1;
e235.. 155.5*b45 - x74 + x83 + x243 =L= 155.5;
e236.. 155.5*b46 - x75 + x84 + x244 =L= 155.5;
e237.. 111.1*b47 - x74 + x86 + x246 =L= 111.1;
e238.. 111.1*b48 - x75 + x87 + x247 =L= 111.1;
e239.. 138.8*b49 - x74 + x89 + x249 =L= 138.8;
e240.. 138.8*b50 - x75 + x90 + x250 =L= 138.8;
e241.. - x63 + x251 =L= -40;
e242.. - x66 + x252 =L= -40;
e243.. - x69 + x253 =L= -40;
e244.. - x72 + x254 =L= -40;
e245.. - x75 + x255 =L= -40;
e246.. x76 + x256 =L= 240;
e247.. x79 + x257 =L= 240;
e248.. x82 + x258 =L= 240;
e249.. x85 + x259 =L= 240;
e250.. x88 + x260 =L= 240;
e251.. -(146*((1e-6 + 1.17647058823529*x91/(1e-6 + (1e-6 + 0.5*x176*x177*(x176
+ x177))**0.33333))**0.6 + (1e-6 + 1.17647058823529*x92/(1e-6 + (1e-6
+ 0.5*x177*x178*(x177 + x178))**0.33333))**0.6 + (1e-6 +
117.629878654828*x93)**0.6 + (1e-6 + 1.17647058823529*x94/(1e-6 + (1e-6
+ 0.5*x179*x180*(x179 + x180))**0.33333))**0.6 + (1e-6 +
1.17647058823529*x95/(1e-6 + (1e-6 + 0.5*x180*x181*(x180 + x181))**
0.33333))**0.6 + (1e-6 + 117.629878654828*x96)**0.6 + (1e-6 +
1.17647058823529*x97/(1e-6 + (1e-6 + 0.5*x182*x183*(x182 + x183))**
0.33333))**0.6 + (1e-6 + 1.17647058823529*x98/(1e-6 + (1e-6 + 0.5*x183*
x184*(x183 + x184))**0.33333))**0.6 + (1e-6 + 117.629878654828*x99)**0.6
+ (1e-6 + 1.17647058823529*x100/(1e-6 + (1e-6 + 0.5*x185*x186*(x185 +
x186))**0.33333))**0.6 + (1e-6 + 1.17647058823529*x101/(1e-6 + (1e-6 +
0.5*x186*x187*(x186 + x187))**0.33333))**0.6 + (1e-6 + 117.629878654828*
x102)**0.6 + (1e-6 + 1.17647058823529*x103/(1e-6 + (1e-6 + 0.5*x188*x189
*(x188 + x189))**0.33333))**0.6 + (1e-6 + 1.17647058823529*x104/(1e-6 +
(1e-6 + 0.5*x189*x190*(x189 + x190))**0.33333))**0.6 + (1e-6 +
117.629878654828*x105)**0.6 + (1e-6 + 1.17647058823529*x106/(1e-6 + (
1e-6 + 0.5*x191*x192*(x191 + x192))**0.33333))**0.6 + (1e-6 +
1.17647058823529*x107/(1e-6 + (1e-6 + 0.5*x192*x193*(x192 + x193))**
0.33333))**0.6 + (1e-6 + 117.629878654828*x108)**0.6 + (1e-6 +
1.17647058823529*x109/(1e-6 + (1e-6 + 0.5*x194*x195*(x194 + x195))**
0.33333))**0.6 + (1e-6 + 1.17647058823529*x110/(1e-6 + (1e-6 + 0.5*x195*
x196*(x195 + x196))**0.33333))**0.6 + (1e-6 + 117.629878654828*x111)**
0.6 + (1e-6 + 1.17647058823529*x112/(1e-6 + (1e-6 + 0.5*x197*x198*(x197
+ x198))**0.33333))**0.6 + (1e-6 + 1.17647058823529*x113/(1e-6 + (1e-6
+ 0.5*x198*x199*(x198 + x199))**0.33333))**0.6 + (1e-6 +
117.629878654828*x114)**0.6 + (1e-6 + 1.17647058823529*x115/(1e-6 + (
1e-6 + 0.5*x200*x201*(x200 + x201))**0.33333))**0.6 + (1e-6 +
1.17647058823529*x116/(1e-6 + (1e-6 + 0.5*x201*x202*(x201 + x202))**
0.33333))**0.6 + (1e-6 + 117.629878654828*x117)**0.6 + (1e-6 +
1.17647058823529*x118/(1e-6 + (1e-6 + 0.5*x203*x204*(x203 + x204))**
0.33333))**0.6 + (1e-6 + 1.17647058823529*x119/(1e-6 + (1e-6 + 0.5*x204*
x205*(x204 + x205))**0.33333))**0.6 + (1e-6 + 117.629878654828*x120)**
0.6 + (1e-6 + 1.17647058823529*x121/(1e-6 + (1e-6 + 0.5*x206*x207*(x206
+ x207))**0.33333))**0.6 + (1e-6 + 1.17647058823529*x122/(1e-6 + (1e-6
+ 0.5*x207*x208*(x207 + x208))**0.33333))**0.6 + (1e-6 +
117.629878654828*x123)**0.6 + (1e-6 + 1.17647058823529*x124/(1e-6 + (
1e-6 + 0.5*x209*x210*(x209 + x210))**0.33333))**0.6 + (1e-6 +
1.17647058823529*x125/(1e-6 + (1e-6 + 0.5*x210*x211*(x210 + x211))**
0.33333))**0.6 + (1e-6 + 117.629878654828*x126)**0.6 + (1e-6 +
1.17647058823529*x127/(1e-6 + (1e-6 + 0.5*x212*x213*(x212 + x213))**
0.33333))**0.6 + (1e-6 + 1.17647058823529*x128/(1e-6 + (1e-6 + 0.5*x213*
x214*(x213 + x214))**0.33333))**0.6 + (1e-6 + 117.629878654828*x129)**
0.6 + (1e-6 + 1.17647058823529*x130/(1e-6 + (1e-6 + 0.5*x215*x216*(x215
+ x216))**0.33333))**0.6 + (1e-6 + 1.17647058823529*x131/(1e-6 + (1e-6
+ 0.5*x216*x217*(x216 + x217))**0.33333))**0.6 + (1e-6 +
117.629878654828*x132)**0.6 + (1e-6 + 1.17647058823529*x133/(1e-6 + (
1e-6 + 0.5*x218*x219*(x218 + x219))**0.33333))**0.6 + (1e-6 +
1.17647058823529*x134/(1e-6 + (1e-6 + 0.5*x219*x220*(x219 + x220))**
0.33333))**0.6 + (1e-6 + 117.629878654828*x135)**0.6 + (1e-6 +
1.17647058823529*x136/(1e-6 + (1e-6 + 0.5*x221*x222*(x221 + x222))**
0.33333))**0.6 + (1e-6 + 1.17647058823529*x137/(1e-6 + (1e-6 + 0.5*x222*
x223*(x222 + x223))**0.33333))**0.6 + (1e-6 + 117.629878654828*x138)**
0.6 + (1e-6 + 1.17647058823529*x139/(1e-6 + (1e-6 + 0.5*x224*x225*(x224
+ x225))**0.33333))**0.6 + (1e-6 + 1.17647058823529*x140/(1e-6 + (1e-6
+ 0.5*x225*x226*(x225 + x226))**0.33333))**0.6 + (1e-6 +
117.629878654828*x141)**0.6 + (1e-6 + 1.17647058823529*x142/(1e-6 + (
1e-6 + 0.5*x227*x228*(x227 + x228))**0.33333))**0.6 + (1e-6 +
1.17647058823529*x143/(1e-6 + (1e-6 + 0.5*x228*x229*(x228 + x229))**
0.33333))**0.6 + (1e-6 + 117.629878654828*x144)**0.6 + (1e-6 +
1.17647058823529*x145/(1e-6 + (1e-6 + 0.5*x230*x231*(x230 + x231))**
0.33333))**0.6 + (1e-6 + 1.17647058823529*x146/(1e-6 + (1e-6 + 0.5*x231*
x232*(x231 + x232))**0.33333))**0.6 + (1e-6 + 117.629878654828*x147)**
0.6 + (1e-6 + 1.17647058823529*x148/(1e-6 + (1e-6 + 0.5*x233*x234*(x233
+ x234))**0.33333))**0.6 + (1e-6 + 1.17647058823529*x149/(1e-6 + (1e-6
+ 0.5*x234*x235*(x234 + x235))**0.33333))**0.6 + (1e-6 +
117.629878654828*x150)**0.6 + (1e-6 + 1.17647058823529*x151/(1e-6 + (
1e-6 + 0.5*x236*x237*(x236 + x237))**0.33333))**0.6 + (1e-6 +
1.17647058823529*x152/(1e-6 + (1e-6 + 0.5*x237*x238*(x237 + x238))**
0.33333))**0.6 + (1e-6 + 117.629878654828*x153)**0.6 + (1e-6 +
1.17647058823529*x154/(1e-6 + (1e-6 + 0.5*x239*x240*(x239 + x240))**
0.33333))**0.6 + (1e-6 + 1.17647058823529*x155/(1e-6 + (1e-6 + 0.5*x240*
x241*(x240 + x241))**0.33333))**0.6 + (1e-6 + 117.629878654828*x156)**
0.6 + (1e-6 + 1.17647058823529*x157/(1e-6 + (1e-6 + 0.5*x242*x243*(x242
+ x243))**0.33333))**0.6 + (1e-6 + 1.17647058823529*x158/(1e-6 + (1e-6
+ 0.5*x243*x244*(x243 + x244))**0.33333))**0.6 + (1e-6 +
117.629878654828*x159)**0.6 + (1e-6 + 1.17647058823529*x160/(1e-6 + (
1e-6 + 0.5*x245*x246*(x245 + x246))**0.33333))**0.6 + (1e-6 +
1.17647058823529*x161/(1e-6 + (1e-6 + 0.5*x246*x247*(x246 + x247))**
0.33333))**0.6 + (1e-6 + 117.629878654828*x162)**0.6 + (1e-6 +
1.17647058823529*x163/(1e-6 + (1e-6 + 0.5*x248*x249*(x248 + x249))**
0.33333))**0.6 + (1e-6 + 1.17647058823529*x164/(1e-6 + (1e-6 + 0.5*x249*
x250*(x249 + x250))**0.33333))**0.6 + (1e-6 + 117.629878654828*x165)**
0.6) + 146*(5e-6 + 0.882352941176471*x171/(1e-6 + 80*x256*(40 + 0.5*x256
))**0.33333 + 0.882352941176471*x172/(1e-6 + 18.3*x257*(9.15000000000001
+ 0.5*x257))**0.33333 + 0.882352941176471*x173/(1e-6 + 18.9*x258*(9.45
+ 0.5*x258))**0.33333 + 0.882352941176471*x174/(1e-6 + 63.3*x259*(31.65
+ 0.5*x259))**0.33333 + 0.882352941176471*x175/(1e-6 + 35.6*x260*(17.8
+ 0.5*x260))**0.33333)**0.6 + 200*x171 + 200*x172 + 200*x173 + 200*x174
+ 200*x175 + 146*((1e-6 + 1.17647058823529*x166/(1e-6 + 34.15*x251*(
68.3 + x251))**0.33333)**0.6 + (1e-6 + 1.17647058823529*x167/(1e-6 +
56.4*x252*(112.8 + x252))**0.33333)**0.6 + (1e-6 + 1.17647058823529*x168
/(1e-6 + 20.3*x253*(40.6 + x253))**0.33333)**0.6 + (1e-6 +
1.17647058823529*x169/(1e-6 + 61.95*x254*(123.9 + x254))**0.33333)**0.6
+ (1e-6 + 1.17647058823529*x170/(1e-6 + 20.3*x255*(40.6 + x255))**
0.33333)**0.6) + 10*x166 + 10*x167 + 10*x168 + 10*x169 + 10*x170)
- 4000*b1 - 4000*b2 - 4000*b3 - 4000*b4 - 4000*b5 - 4000*b6 - 4000*b7
- 4000*b8 - 4000*b9 - 4000*b10 - 4000*b11 - 4000*b12 - 4000*b13
- 4000*b14 - 4000*b15 - 4000*b16 - 4000*b17 - 4000*b18 - 4000*b19
- 4000*b20 - 4000*b21 - 4000*b22 - 4000*b23 - 4000*b24 - 4000*b25
- 4000*b26 - 4000*b27 - 4000*b28 - 4000*b29 - 4000*b30 - 4000*b31
- 4000*b32 - 4000*b33 - 4000*b34 - 4000*b35 - 4000*b36 - 4000*b37
- 4000*b38 - 4000*b39 - 4000*b40 - 4000*b41 - 4000*b42 - 4000*b43
- 4000*b44 - 4000*b45 - 4000*b46 - 4000*b47 - 4000*b48 - 4000*b49
- 4000*b50 - 4000*b51 - 4000*b52 - 4000*b53 - 4000*b54 - 4000*b55
- 4000*b56 - 4000*b57 - 4000*b58 - 4000*b59 - 4000*b60 + objvar =E= 0;
* set non-default bounds
x61.lo = 93.3; x61.up = 160;
x62.lo = 93.3; x62.up = 160;
x63.lo = 93.3; x63.up = 160;
x64.lo = 137.8; x64.up = 248.9;
x65.lo = 137.8; x65.up = 248.9;
x66.lo = 137.8; x66.up = 248.9;
x67.lo = 65.6; x67.up = 226.7;
x68.lo = 65.6; x68.up = 226.7;
x69.lo = 65.6; x69.up = 226.7;
x70.lo = 148.9; x70.up = 271.1;
x71.lo = 148.9; x71.up = 271.1;
x72.lo = 148.9; x72.up = 271.1;
x73.lo = 65.6; x73.up = 198.9;
x74.lo = 65.6; x74.up = 198.9;
x75.lo = 65.6; x75.up = 198.9;
x76.lo = 60; x76.up = 160;
x77.lo = 60; x77.up = 160;
x78.lo = 60; x78.up = 160;
x79.lo = 115.6; x79.up = 221.7;
x80.lo = 115.6; x80.up = 221.7;
x81.lo = 115.6; x81.up = 221.7;
x82.lo = 37.8; x82.up = 221.1;
x83.lo = 37.8; x83.up = 221.1;
x84.lo = 37.8; x84.up = 221.1;
x85.lo = 82.2; x85.up = 176.7;
x86.lo = 82.2; x86.up = 176.7;
x87.lo = 82.2; x87.up = 176.7;
x88.lo = 93.3; x88.up = 204.4;
x89.lo = 93.3; x89.up = 204.4;
x90.lo = 93.3; x90.up = 204.4;
x176.lo = 10;
x177.lo = 10;
x178.lo = 10;
x179.lo = 10;
x180.lo = 10;
x181.lo = 10;
x182.lo = 10;
x183.lo = 10;
x184.lo = 10;
x185.lo = 10;
x186.lo = 10;
x187.lo = 10;
x188.lo = 10;
x189.lo = 10;
x190.lo = 10;
x191.lo = 10;
x192.lo = 10;
x193.lo = 10;
x194.lo = 10;
x195.lo = 10;
x196.lo = 10;
x197.lo = 10;
x198.lo = 10;
x199.lo = 10;
x200.lo = 10;
x201.lo = 10;
x202.lo = 10;
x203.lo = 10;
x204.lo = 10;
x205.lo = 10;
x206.lo = 10;
x207.lo = 10;
x208.lo = 10;
x209.lo = 10;
x210.lo = 10;
x211.lo = 10;
x212.lo = 10;
x213.lo = 10;
x214.lo = 10;
x215.lo = 10;
x216.lo = 10;
x217.lo = 10;
x218.lo = 10;
x219.lo = 10;
x220.lo = 10;
x221.lo = 10;
x222.lo = 10;
x223.lo = 10;
x224.lo = 10;
x225.lo = 10;
x226.lo = 10;
x227.lo = 10;
x228.lo = 10;
x229.lo = 10;
x230.lo = 10;
x231.lo = 10;
x232.lo = 10;
x233.lo = 10;
x234.lo = 10;
x235.lo = 10;
x236.lo = 10;
x237.lo = 10;
x238.lo = 10;
x239.lo = 10;
x240.lo = 10;
x241.lo = 10;
x242.lo = 10;
x243.lo = 10;
x244.lo = 10;
x245.lo = 10;
x246.lo = 10;
x247.lo = 10;
x248.lo = 10;
x249.lo = 10;
x250.lo = 10;
x251.lo = 10;
x252.lo = 10;
x253.lo = 10;
x254.lo = 10;
x255.lo = 10;
x256.lo = 10;
x257.lo = 10;
x258.lo = 10;
x259.lo = 10;
x260.lo = 10;
* set non-default levels
x61.l = 160;
x62.l = 160;
x63.l = 160;
x64.l = 248.9;
x65.l = 248.9;
x66.l = 248.9;
x67.l = 226.7;
x68.l = 226.7;
x69.l = 226.7;
x70.l = 271.1;
x71.l = 271.1;
x72.l = 271.1;
x73.l = 198.9;
x74.l = 198.9;
x75.l = 198.9;
x91.l = 586.96;
x92.l = 586.96;
x94.l = 586.96;
x95.l = 586.96;
x97.l = 586.96;
x98.l = 586.96;
x100.l = 586.96;
x101.l = 586.96;
x103.l = 586.96;
x104.l = 586.96;
x106.l = 760;
x107.l = 760;
x109.l = 647.21;
x110.l = 647.21;
x112.l = 1177.66;
x113.l = 1177.66;
x115.l = 1177.66;
x116.l = 1177.66;
x118.l = 1177.66;
x119.l = 1177.66;
x121.l = 760;
x122.l = 760;
x124.l = 647.21;
x125.l = 647.21;
x127.l = 1539.72;
x128.l = 1539.72;
x130.l = 1634.85;
x131.l = 1634.85;
x133.l = 1544.29;
x134.l = 1544.29;
x136.l = 760;
x137.l = 760;
x139.l = 647.21;
x140.l = 647.21;
x142.l = 1539.72;
x143.l = 1539.72;
x145.l = 1539.72;
x146.l = 1539.72;
x148.l = 1539.72;
x149.l = 1539.72;
x151.l = 760;
x152.l = 760;
x154.l = 647.21;
x155.l = 647.21;
x157.l = 1539.72;
x158.l = 1539.72;
x160.l = 1634.85;
x161.l = 1634.85;
x163.l = 1544.29;
x164.l = 1544.29;
x176.l = 100;
x177.l = 100;
x178.l = 100;
x179.l = 44.4;
x180.l = 44.4;
x181.l = 44.4;
x182.l = 122.2;
x183.l = 122.2;
x184.l = 122.2;
x185.l = 77.8;
x186.l = 77.8;
x187.l = 77.8;
x188.l = 66.7;
x189.l = 66.7;
x190.l = 66.7;
x191.l = 188.9;
x192.l = 188.9;
x193.l = 188.9;
x194.l = 133.3;
x195.l = 133.3;
x196.l = 133.3;
x197.l = 211.1;
x198.l = 211.1;
x199.l = 211.1;
x200.l = 166.7;
x201.l = 166.7;
x202.l = 166.7;
x203.l = 155.6;
x204.l = 155.6;
x205.l = 155.6;
x206.l = 166.7;
x207.l = 166.7;
x208.l = 166.7;
x209.l = 111.1;
x210.l = 111.1;
x211.l = 111.1;
x212.l = 188.9;
x213.l = 188.9;
x214.l = 188.9;
x215.l = 144.5;
x216.l = 144.5;
x217.l = 144.5;
x218.l = 133.4;
x219.l = 133.4;
x220.l = 133.4;
x221.l = 211.1;
x222.l = 211.1;
x223.l = 211.1;
x224.l = 155.5;
x225.l = 155.5;
x226.l = 155.5;
x227.l = 233.3;
x228.l = 233.3;
x229.l = 233.3;
x230.l = 188.9;
x231.l = 188.9;
x232.l = 188.9;
x233.l = 177.8;
x234.l = 177.8;
x235.l = 177.8;
x236.l = 138.9;
x237.l = 138.9;
x238.l = 138.9;
x239.l = 83.3;
x240.l = 83.3;
x241.l = 83.3;
x242.l = 161.1;
x243.l = 161.1;
x244.l = 161.1;
x245.l = 116.7;
x246.l = 116.7;
x247.l = 116.7;
x248.l = 105.6;
x249.l = 105.6;
x250.l = 105.6;
x251.l = 120;
x252.l = 208.9;
x253.l = 186.7;
x254.l = 231.1;
x255.l = 158.9;
x256.l = 180;
x257.l = 124.4;
x258.l = 202.2;
x259.l = 157.8;
x260.l = 146.7;
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