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Instance pooling_digabel16
Formatsⓘ | ams gms lp mod nl osil pip py |
Primal Bounds (infeas ≤ 1e-08)ⓘ | |
Other points (infeas > 1e-08)ⓘ | |
Dual Boundsⓘ | -2429.65054400 (ANTIGONE) -2497.29298000 (BARON) -2411.30844200 (COUENNE) -2410.68795100 (GUROBI) -2443.11848700 (LINDO) -2410.68800500 (SCIP) -3642.99990100 (SHOT) |
Referencesⓘ | Audet, Charles, Brimberg, Jack, Hansen, Pierre, Digabel, Sébastien Le, and Mladenović, Nenad, Pooling Problem: Alternate Formulations and Solution Methods, Management Science, 50:6, 2004, 761-776. |
Sourceⓘ | QPLIB instance 6287, contributed by Sebastien Le Digabel |
Applicationⓘ | Pooling problem |
Added to libraryⓘ | 18 Aug 2018 |
Problem typeⓘ | QCP |
#Variablesⓘ | 171 |
#Binary Variablesⓘ | 0 |
#Integer Variablesⓘ | 0 |
#Nonlinear Variablesⓘ | 75 |
#Nonlinear Binary Variablesⓘ | 0 |
#Nonlinear Integer Variablesⓘ | 0 |
Objective Senseⓘ | min |
Objective typeⓘ | linear |
Objective curvatureⓘ | linear |
#Nonzeros in Objectiveⓘ | 141 |
#Nonlinear Nonzeros in Objectiveⓘ | 0 |
#Constraintsⓘ | 117 |
#Linear Constraintsⓘ | 36 |
#Quadratic Constraintsⓘ | 81 |
#Polynomial Constraintsⓘ | 0 |
#Signomial Constraintsⓘ | 0 |
#General Nonlinear Constraintsⓘ | 0 |
Operands in Gen. Nonlin. Functionsⓘ | |
Constraints curvatureⓘ | indefinite |
#Nonzeros in Jacobianⓘ | 1591 |
#Nonlinear Nonzeros in Jacobianⓘ | 747 |
#Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 288 |
#Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 0 |
#Blocks in Hessian of Lagrangianⓘ | 9 |
Minimal blocksize in Hessian of Lagrangianⓘ | 4 |
Maximal blocksize in Hessian of Lagrangianⓘ | 12 |
Average blocksize in Hessian of Lagrangianⓘ | 8.333333 |
#Semicontinuitiesⓘ | 0 |
#Nonlinear Semicontinuitiesⓘ | 0 |
#SOS type 1ⓘ | 0 |
#SOS type 2ⓘ | 0 |
Minimal coefficientⓘ | 5.3476e-02 |
Maximal coefficientⓘ | 7.9000e+02 |
Infeasibility of initial pointⓘ | 0 |
Sparsity Jacobianⓘ | |
Sparsity Hessian of Lagrangianⓘ |
$offlisting * * Equation counts * Total E G L N X C B * 118 28 36 54 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 172 172 0 0 0 0 0 0 * FX 0 * * Nonzero counts * Total const NL DLL * 1733 986 747 0 * * Solve m using QCP minimizing objvar; Variables objvar,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18 ,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35 ,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52 ,x53,x54,x55,x56,x57,x58,x59,x60,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; Positive Variables x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17 ,x18,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34 ,x35,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51 ,x52,x53,x54,x55,x56,x57,x58,x59,x60,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,x170,x171,x172; 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; e1.. - objvar + 158*x2 - 221.2*x3 + 189.6*x4 + 31.6*x5 - 442.4*x6 - 347.6*x7 - 347.6*x8 - 189.6*x9 - 410.8*x10 + 63.2*x11 + 474*x12 + 94.8*x13 + 252.8*x14 + 505.6*x15 - 442.4*x16 + 63.2*x17 + 252.8*x18 + 252.8*x19 - 221.2*x20 - 126.4*x21 + 252.8*x22 - 126.4*x23 + 31.6*x24 - 189.6*x25 + 410.8*x26 + 31.6*x27 + 31.6*x28 + 442.4*x29 + 474*x30 + 94.8*x31 + 31.6*x32 + 505.6*x33 + 474*x34 + 94.8*x35 + 126.4*x36 + 126.4*x37 - 347.6*x38 - 252.8*x39 + 126.4*x40 - 94.8*x41 + 474*x42 + 474*x43 + 31.6*x44 + 505.6*x45 + 158*x46 - 284.4*x47 + 189.6*x48 + 158*x49 - 316*x50 + 158*x51 - 221.2*x52 - 63.2*x53 + 158*x54 + 158*x55 - 221.2*x56 - 221.2*x57 - 284.4*x58 + 189.6*x59 - 126.4*x60 - 126.4*x61 - 600.4*x62 - 505.6*x63 - 126.4*x64 - 505.6*x65 - 347.6*x66 - 94.8*x67 + 158*x68 + 158*x69 - 316*x70 - 221.2*x71 - 63.2*x72 - 284.4*x73 + 189.6*x74 + 158*x75 + 158*x76 - 316*x77 - 221.2*x78 + 158*x79 - 221.2*x80 - 63.2*x81 - 284.4*x82 + 189.6*x83 - 316*x84 - 221.2*x85 - 284.4*x86 - 63.2*x87 + 758.4*x88 + 284.4*x89 + 379.2*x90 + 758.4*x91 + 316*x92 + 790*x93 - 126.4*x94 - 126.4*x95 - 126.4*x96 - 126.4*x97 - 126.4*x98 + 316*x99 + 316*x100 + 316*x101 + 316*x102 - 126.4*x103 + 158*x104 - 126.4*x105 - 126.4*x106 - 126.4*x107 - 726.8*x108 + 94.8*x109 + 94.8*x110 + 94.8*x111 + 379.2*x112 + 94.8*x113 + 94.8*x114 + 94.8*x115 - 505.6*x116 + 252.8*x117 + 537.2*x118 + 252.8*x119 + 252.8*x120 + 316*x121 + 316*x122 + 316*x123 + 316*x124 + 316*x125 + 316*x126 + 316*x127 + 316*x128 - 284.4*x129 - 31.6*x130 - 31.6*x131 - 31.6*x132 - 31.6*x133 - 632*x134 + 316*x135 + 316*x136 + 316*x137 + 600.4*x138 + 316*x139 + 316*x140 + 316*x141 - 284.4*x142 =E= 0; e2.. x2 + x3 + x4 + x46 + x47 + x48 + x49 + x50 + x51 + x52 + x53 + x54 + x55 + x56 + x57 + x58 + x59 + 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 - x105 - x106 - x107 - x108 - x109 - x110 - x111 - x113 - x114 - x115 - x116 - x117 - x119 - x120 - x121 - x122 - x123 - x124 - x125 - x126 - x127 - x128 - x129 - x130 - x131 - x132 - x133 - x134 - x135 - x136 - x137 - x139 - x140 - x141 - x142 =L= 10; e3.. x5 + x6 + x7 + x8 + x9 + x10 + x11 + x94 + x95 + x96 + x97 + x98 =L= 10 ; e4.. x12 + x13 + x14 + x15 + x88 + x89 + x90 + x91 + x92 + x93 + x99 + x100 + x101 + x102 - x108 - x116 - x129 - x134 - x142 + x170 =L= 10; e5.. x16 + x17 + x103 + x104 + x105 + x106 + x107 + x108 =L= 10; e6.. x18 + x19 + x20 + x21 + x22 + x23 + x24 + x25 + x109 + x110 + x111 + x112 + x113 + x114 + x115 + x116 =L= 10; e7.. x26 + x27 + x28 + x29 + x117 + x118 + x119 + x120 =L= 10; e8.. x30 + x31 + x32 + x33 + x121 + x122 + x123 + x124 + x171 =L= 10; e9.. x34 + x35 + x125 + x126 + x127 + x128 + x129 =L= 10; e10.. x36 + x37 + x38 + x39 + x40 + x41 + x130 + x131 + x132 + x133 + x134 =L= 10; e11.. x42 + x43 + x44 + x45 + x135 + x136 + x137 + x138 + x139 + x140 + x141 + x142 + x172 =L= 10; e12.. x2 + x5 + x12 + x18 + x26 + x30 + x36 + x42 + x46 + x54 + x60 + x68 + x75 + x88 =L= 0.601266; e13.. x19 + x34 + x37 + x49 + x55 + x61 + x69 + x76 =L= 1.29747; e14.. x6 + x16 + x20 + x38 + x50 + x62 + x70 + x77 + x84 + x89 + x170 + x171 + x172 =L= 1.42405; e15.. x7 + x13 + x21 + x27 + x31 + x39 + x56 + x63 + x78 + x85 + x90 =L= 1.20253; e16.. x22 + x40 + x43 + x51 + x64 + x79 + x91 =L= 0.443038; e17.. x3 + x8 + x23 + x28 + x35 + x52 + x57 + x65 + x71 + x80 =L= 1.8038; e18.. x9 + x14 + x24 + x41 + x53 + x66 + x72 + x81 + x87 =L= 0.85443; e19.. x10 + x25 + x32 + x44 + x47 + x58 + x73 + x82 + x86 + x92 =L= 1.42405; e20.. x4 + x11 + x15 + x17 + x29 + x33 + x45 + x48 + x59 + x67 + x74 + x83 + x93 =L= 0.949367; e21.. x46 + x47 + x48 =L= 10; e22.. x49 + x50 + x51 + x52 + x53 =L= 10; e23.. x54 + x55 + x56 + x57 + x58 + x59 =L= 10; e24.. x60 + x61 + x62 + x63 + x64 + x65 + x66 + x67 =L= 10; e25.. x68 + x69 + x70 + x71 + x72 + x73 + x74 =L= 10; e26.. x75 + x76 + x77 + x78 + x79 + x80 + x81 + x82 + x83 =L= 10; e27.. x84 + x85 + x86 =L= 10; e28.. x88 + x89 + x90 + x91 + x92 + x93 =L= 10; e29.. x46 + x47 + x48 - x94 - x109 - x117 - x125 - x135 =G= 0; e30.. x49 + x50 + x51 + x52 + x53 - x95 - x99 - x110 - x121 - x130 - x136 =G= 0; e31.. x54 + x55 + x56 + x57 + x58 + x59 - x100 - x103 - x111 - x122 - x126 - x131 - x137 =G= 0; e32.. x68 + x69 + x70 + x71 + x72 + x73 + x74 - x96 - x105 - x127 =G= 0; e33.. x75 + x76 + x77 + x78 + x79 + x80 + x81 + x82 + x83 - x97 - x101 - x106 - x113 - x119 - x123 - x128 - x132 - x139 =G= 0; e34.. x84 + x85 + x86 - x102 - x114 - x140 =G= 0; e35.. x87 - x98 - x107 - x115 - x120 - x124 - x133 - x141 =G= 0; e36.. x88 + x89 + x90 + x91 + x92 + x93 - x108 - x116 - x129 - x134 - x142 =G= 0; e37.. x88 + x89 + x90 + x91 + x92 + x93 - x108 - x116 - x129 - x134 - x142 =G= 0; e38.. x143*x46 - 4.49198*x46 + x143*x47 - 4.49198*x47 + x143*x48 - 4.49198*x48 - 0.26738*x94 - 0.427807*x109 + 4.0107*x117 + 2.6738*x125 - 0.213904*x135 =E= 0; e39.. x144*x49 - 4.49198*x49 + x144*x50 - 4.49198*x50 + x144*x51 - 4.49198*x51 + x144*x52 - 4.49198*x52 + x144*x53 - 4.49198*x53 - 0.26738*x95 + 3.63636*x99 - 0.427807*x110 + 2.62032*x121 + 0.26738*x130 - 0.213904*x136 =E= 0; e40.. x145*x54 - 4.49198*x54 + x145*x55 - 4.49198*x55 + x145*x56 - 4.49198*x56 + x145*x57 - 4.49198*x57 + x145*x58 - 4.49198*x58 + x145*x59 - 4.49198* x59 + 3.63636*x100 + 0.0534759*x103 - 0.427807*x111 + 2.62032*x122 + 2.6738*x126 + 0.26738*x131 - 0.213904*x137 =E= 0; e41.. x146*x60 + x146*x61 + x146*x62 + x146*x63 + x146*x64 + x146*x65 + x146* x66 + x146*x67 - 4.4385*x104 - 4.91979*x112 - 0.481283*x118 - 4.70588*x138 =E= 0; e42.. x147*x68 - 4.49198*x68 + x147*x69 - 4.49198*x69 + x147*x70 - 4.49198*x70 + x147*x71 - 4.49198*x71 + x147*x72 - 4.49198*x72 + x147*x73 - 4.49198* x73 + x147*x74 - 4.49198*x74 - 0.26738*x96 + 0.0534759*x105 + 2.6738*x127 =E= 0; e43.. x148*x75 - 4.49198*x75 + x148*x76 - 4.49198*x76 + x148*x77 - 4.49198*x77 + x148*x78 - 4.49198*x78 + x148*x79 - 4.49198*x79 + x148*x80 - 4.49198* x80 + x148*x81 - 4.49198*x81 + x148*x82 - 4.49198*x82 + x148*x83 - 4.49198*x83 - 0.26738*x97 + 3.63636*x101 + 0.0534759*x106 - 0.427807*x113 + 4.0107*x119 + 2.62032*x123 + 2.6738*x128 + 0.26738*x132 - 0.213904*x139 =E= 0; e44.. x149*x84 - 4.49198*x84 + x149*x85 - 4.49198*x85 + x149*x86 - 4.49198*x86 + 3.63636*x102 - 0.427807*x114 - 0.213904*x140 =E= 0; e45.. x150*x87 - 4.49198*x87 - 0.26738*x98 + 0.0534759*x107 - 0.427807*x115 + 4.0107*x120 + 2.62032*x124 + 0.26738*x133 - 0.213904*x141 =E= 0; e46.. x151*x88 - 5.34759*x88 + x151*x89 - 5.34759*x89 + x151*x90 - 5.34759*x90 + x151*x91 - 5.34759*x91 + x151*x92 - 5.34759*x92 + x151*x93 - 5.34759* x93 + 0.909091*x108 + 0.427807*x116 + 3.52941*x129 + 1.12299*x134 + 0.641711*x142 =E= 0; e47.. x143*x46 - 0.481283*x46 + x145*x54 - 0.481283*x54 + x146*x60 - 0.481283* x60 + x147*x68 - 0.481283*x68 + x148*x75 - 0.481283*x75 + x151*x88 - 0.481283*x88 + 4.0107*x2 + 4.27807*x5 + 0.374332*x12 + 4.4385*x18 + 1.39037*x30 + 3.74332*x36 + 4.2246*x42 =G= 0; e48.. x143*x46 - 5.34759*x46 + x145*x54 - 5.34759*x54 + x146*x60 - 5.34759*x60 + x147*x68 - 5.34759*x68 + x148*x75 - 5.34759*x75 + x151*x88 - 5.34759* x88 - 0.855615*x2 - 0.588235*x5 - 4.49198*x12 - 0.427807*x18 - 4.86631*x26 - 3.47594*x30 - 1.12299*x36 - 0.641711*x42 =L= 0; e49.. x144*x49 - 0.481283*x49 + x145*x55 - 0.481283*x55 + x146*x61 - 0.481283* x61 + x147*x69 - 0.481283*x69 + x148*x76 - 0.481283*x76 + 4.4385*x19 + 1.3369*x34 + 3.74332*x37 =G= 0; e50.. x144*x49 - 10*x49 + x145*x55 - 10*x55 + x146*x61 - 10*x61 + x147*x69 - 10 *x69 + x148*x76 - 10*x76 - 5.08021*x19 - 8.18182*x34 - 5.7754*x37 =L= 0; e51.. x144*x50 - 0.481283*x50 + x146*x62 - 0.481283*x62 + x147*x70 - 0.481283* x70 + x148*x77 - 0.481283*x77 + x149*x84 - 0.481283*x84 + x151*x89 - 0.481283*x89 + 4.27807*x6 + 3.95722*x16 + 4.4385*x20 + 3.74332*x38 + 0.374332*x170 + 1.39037*x171 + 4.2246*x172 =G= 0; e52.. x144*x50 - 3.95722*x50 + x146*x62 - 3.95722*x62 + x147*x70 - 3.95722*x70 + x148*x77 - 3.95722*x77 + x149*x84 - 3.95722*x84 + x151*x89 - 3.95722* x89 + 0.802139*x6 + 0.481283*x16 + 0.962567*x20 + 0.26738*x38 - 3.1016*x170 - 2.08556*x171 + 0.748663*x172 =L= 0; e53.. x145*x56 - 0.481283*x56 + x146*x63 - 0.481283*x63 + x148*x78 - 0.481283* x78 + x149*x85 - 0.481283*x85 + x151*x90 - 0.481283*x90 + 4.27807*x7 + 0.374332*x13 + 4.4385*x21 + 1.39037*x31 + 3.74332*x39 =G= 0; e54.. x145*x56 - 5.02674*x56 + x146*x63 - 5.02674*x63 + x148*x78 - 5.02674*x78 + x149*x85 - 5.02674*x85 + x151*x90 - 5.02674*x90 - 0.26738*x7 - 4.17112*x13 - 0.106952*x21 - 4.54545*x27 - 3.15508*x31 - 0.802139*x39 =L= 0; e55.. x144*x51 - 0.481283*x51 + x146*x64 - 0.481283*x64 + x148*x79 - 0.481283* x79 + x151*x91 - 0.481283*x91 + 4.4385*x22 + 3.74332*x40 + 4.2246*x43 =G= 0; e56.. x144*x51 - 5.88235*x51 + x146*x64 - 5.88235*x64 + x148*x79 - 5.88235*x79 + x151*x91 - 5.88235*x91 - 0.962567*x22 - 1.65775*x40 - 1.17647*x43 =L= 0; e57.. x144*x52 - 0.481283*x52 + x145*x57 - 0.481283*x57 + x146*x65 - 0.481283* x65 + x147*x71 - 0.481283*x71 + x148*x80 - 0.481283*x80 + 4.0107*x3 + 4.27807*x8 + 4.4385*x23 + 1.3369*x35 =G= 0; e58.. x144*x52 - 3.36898*x52 + x145*x57 - 3.36898*x57 + x146*x65 - 3.36898*x65 + x147*x71 - 3.36898*x71 + x148*x80 - 3.36898*x80 + 1.12299*x3 + 1.39037*x8 + 1.5508*x23 - 2.8877*x28 - 1.5508*x35 =L= 0; e59.. x144*x53 - 0.481283*x53 + x146*x66 - 0.481283*x66 + x147*x72 - 0.481283* x72 + x148*x81 - 0.481283*x81 + x150*x87 - 0.481283*x87 + 4.27807*x9 + 0.374332*x14 + 4.4385*x24 + 3.74332*x41 =G= 0; e60.. x144*x53 - 4.59893*x53 + x146*x66 - 4.59893*x66 + x147*x72 - 4.59893*x72 + x148*x81 - 4.59893*x81 + x150*x87 - 4.59893*x87 + 0.160428*x9 - 3.74332*x14 + 0.320856*x24 - 0.374332*x41 =L= 0; e61.. x143*x47 - 0.481283*x47 + x145*x58 - 0.481283*x58 + x147*x73 - 0.481283* x73 + x148*x82 - 0.481283*x82 + x149*x86 - 0.481283*x86 + x151*x92 - 0.481283*x92 + 4.27807*x10 + 4.4385*x25 + 1.39037*x32 + 4.2246*x44 =G= 0; e62.. x143*x47 - 8.02139*x47 + x145*x58 - 8.02139*x58 + x147*x73 - 8.02139*x73 + x148*x82 - 8.02139*x82 + x149*x86 - 8.02139*x86 + x151*x92 - 8.02139* x92 - 3.26203*x10 - 3.1016*x25 - 6.14973*x32 - 3.31551*x44 =L= 0; e63.. x143*x48 - 0.481283*x48 + x145*x59 - 0.481283*x59 + x146*x67 - 0.481283* x67 + x147*x74 - 0.481283*x74 + x148*x83 - 0.481283*x83 + x151*x93 - 0.481283*x93 + 4.0107*x4 + 4.27807*x11 + 0.374332*x15 + 3.95722*x17 + 1.39037*x33 + 4.2246*x45 =G= 0; e64.. x143*x48 - 7.80749*x48 + x145*x59 - 7.80749*x59 + x146*x67 - 7.80749*x67 + x147*x74 - 7.80749*x74 + x148*x83 - 7.80749*x83 + x151*x93 - 7.80749* x93 - 3.31551*x4 - 3.04813*x11 - 6.95187*x15 - 3.36898*x17 - 7.3262*x29 - 5.93583*x33 - 3.1016*x45 =L= 0; e65.. x152*x46 - 1.73469*x46 + x152*x47 - 1.73469*x47 + x152*x48 - 1.73469*x48 - 1.58163*x94 - 2.5*x109 - 1.63265*x117 - 2.09184*x125 - 0.867347*x135 =E= 0; e66.. x153*x49 - 1.73469*x49 + x153*x50 - 1.73469*x50 + x153*x51 - 1.73469*x51 + x153*x52 - 1.73469*x52 + x153*x53 - 1.73469*x53 - 1.58163*x95 - 2.04082*x99 - 2.5*x110 - 2.65306*x121 + 0.204082*x130 - 0.867347*x136 =E= 0; e67.. x154*x54 - 1.73469*x54 + x154*x55 - 1.73469*x55 + x154*x56 - 1.73469*x56 + x154*x57 - 1.73469*x57 + x154*x58 - 1.73469*x58 + x154*x59 - 1.73469* x59 - 2.04082*x100 - 1.22449*x103 - 2.5*x111 - 2.65306*x122 - 2.09184*x126 + 0.204082*x131 - 0.867347*x137 =E= 0; e68.. x155*x60 + x155*x61 + x155*x62 + x155*x63 + x155*x64 + x155*x65 + x155* x66 + x155*x67 - 2.95918*x104 - 4.23469*x112 - 3.36735*x118 - 2.60204*x138 =E= 0; e69.. x156*x68 - 1.73469*x68 + x156*x69 - 1.73469*x69 + x156*x70 - 1.73469*x70 + x156*x71 - 1.73469*x71 + x156*x72 - 1.73469*x72 + x156*x73 - 1.73469* x73 + x156*x74 - 1.73469*x74 - 1.58163*x96 - 1.22449*x105 - 2.09184*x127 =E= 0; e70.. x157*x75 - 1.73469*x75 + x157*x76 - 1.73469*x76 + x157*x77 - 1.73469*x77 + x157*x78 - 1.73469*x78 + x157*x79 - 1.73469*x79 + x157*x80 - 1.73469* x80 + x157*x81 - 1.73469*x81 + x157*x82 - 1.73469*x82 + x157*x83 - 1.73469*x83 - 1.58163*x97 - 2.04082*x101 - 1.22449*x106 - 2.5*x113 - 1.63265*x119 - 2.65306*x123 - 2.09184*x128 + 0.204082*x132 - 0.867347*x139 =E= 0; e71.. x158*x84 - 1.73469*x84 + x158*x85 - 1.73469*x85 + x158*x86 - 1.73469*x86 - 2.04082*x102 - 2.5*x114 - 0.867347*x140 =E= 0; e72.. x159*x87 - 1.73469*x87 - 1.58163*x98 - 1.22449*x107 - 2.5*x115 - 1.63265*x120 - 2.65306*x124 + 0.204082*x133 - 0.867347*x141 =E= 0; e73.. x160*x88 - 5.5102*x88 + x160*x89 - 5.5102*x89 + x160*x90 - 5.5102*x90 + x160*x91 - 5.5102*x91 + x160*x92 - 5.5102*x92 + x160*x93 - 5.5102*x93 + 2.55102*x108 + 1.27551*x116 + 1.68367*x129 + 3.97959*x134 + 2.90816*x142 =E= 0; e74.. x152*x46 - 1.53061*x46 + x154*x54 - 1.53061*x54 + x155*x60 - 1.53061*x60 + x156*x68 - 1.53061*x68 + x157*x75 - 1.53061*x75 + x160*x88 - 1.53061* x88 + 0.204082*x2 + 1.78571*x5 + 2.2449*x12 + 2.70408*x18 + 1.83673*x26 + 2.85714*x30 + 1.07143*x42 =G= 0; e75.. x152*x46 - 8.41837*x46 + x154*x54 - 8.41837*x54 + x155*x60 - 8.41837*x60 + x156*x68 - 8.41837*x68 + x157*x75 - 8.41837*x75 + x160*x88 - 8.41837* x88 - 6.68367*x2 - 5.10204*x5 - 4.64286*x12 - 4.18367*x18 - 5.05102*x26 - 4.03061*x30 - 6.88776*x36 - 5.81633*x42 =L= 0; e76.. x153*x49 - 1.53061*x49 + x154*x55 - 1.53061*x55 + x155*x61 - 1.53061*x61 + x156*x69 - 1.53061*x69 + x157*x76 - 1.53061*x76 + 2.70408*x19 + 2.29592*x34 =G= 0; e77.. x153*x49 - 7.39796*x49 + x154*x55 - 7.39796*x55 + x155*x61 - 7.39796*x61 + x156*x69 - 7.39796*x69 + x157*x76 - 7.39796*x76 - 3.16327*x19 - 3.57143*x34 - 5.86735*x37 =L= 0; e78.. x153*x50 - 1.53061*x50 + x155*x62 - 1.53061*x62 + x156*x70 - 1.53061*x70 + x157*x77 - 1.53061*x77 + x158*x84 - 1.53061*x84 + x160*x89 - 1.53061* x89 + 1.78571*x6 + 1.42857*x16 + 2.70408*x20 + 2.2449*x170 + 2.85714*x171 + 1.07143*x172 =G= 0; e79.. x153*x50 - 5.61224*x50 + x155*x62 - 5.61224*x62 + x156*x70 - 5.61224*x70 + x157*x77 - 5.61224*x77 + x158*x84 - 5.61224*x84 + x160*x89 - 5.61224* x89 - 2.29592*x6 - 2.65306*x16 - 1.37755*x20 - 4.08163*x38 - 1.83673*x170 - 1.22449*x171 - 3.0102*x172 =L= 0; e80.. x154*x56 - 1.53061*x56 + x155*x63 - 1.53061*x63 + x157*x78 - 1.53061*x78 + x158*x85 - 1.53061*x85 + x160*x90 - 1.53061*x90 + 1.78571*x7 + 2.2449*x13 + 2.70408*x21 + 1.83673*x27 + 2.85714*x31 =G= 0; e81.. x154*x56 - 7.44898*x56 + x155*x63 - 7.44898*x63 + x157*x78 - 7.44898*x78 + x158*x85 - 7.44898*x85 + x160*x90 - 7.44898*x90 - 4.13265*x7 - 3.67347*x13 - 3.21429*x21 - 4.08163*x27 - 3.06122*x31 - 5.91837*x39 =L= 0; e82.. x153*x51 - 1.53061*x51 + x155*x64 - 1.53061*x64 + x157*x79 - 1.53061*x79 + x160*x91 - 1.53061*x91 + 2.70408*x22 + 1.07143*x43 =G= 0; e83.. x153*x51 - 9.38776*x51 + x155*x64 - 9.38776*x64 + x157*x79 - 9.38776*x79 + x160*x91 - 9.38776*x91 - 5.15306*x22 - 7.85714*x40 - 6.78571*x43 =L= 0 ; e84.. x153*x52 - 1.53061*x52 + x154*x57 - 1.53061*x57 + x155*x65 - 1.53061*x65 + x156*x71 - 1.53061*x71 + x157*x80 - 1.53061*x80 + 0.204082*x3 + 1.78571*x8 + 2.70408*x23 + 1.83673*x28 + 2.29592*x35 =G= 0; e85.. x153*x52 - 4.03061*x52 + x154*x57 - 4.03061*x57 + x155*x65 - 4.03061*x65 + x156*x71 - 4.03061*x71 + x157*x80 - 4.03061*x80 - 2.29592*x3 - 0.714286*x8 + 0.204082*x23 - 0.663265*x28 - 0.204082*x35 =L= 0; e86.. x153*x53 - 1.53061*x53 + x155*x66 - 1.53061*x66 + x156*x72 - 1.53061*x72 + x157*x81 - 1.53061*x81 + x159*x87 - 1.53061*x87 + 1.78571*x9 + 2.2449*x14 + 2.70408*x24 =G= 0; e87.. x153*x53 - 10*x53 + x155*x66 - 10*x66 + x156*x72 - 10*x72 + x157*x81 - 10 *x81 + x159*x87 - 10*x87 - 6.68367*x9 - 6.22449*x14 - 5.76531*x24 - 8.46939*x41 =L= 0; e88.. x152*x47 - 1.53061*x47 + x154*x58 - 1.53061*x58 + x156*x73 - 1.53061*x73 + x157*x82 - 1.53061*x82 + x158*x86 - 1.53061*x86 + x160*x92 - 1.53061* x92 + 1.78571*x10 + 2.70408*x25 + 2.85714*x32 + 1.07143*x44 =G= 0; e89.. x152*x47 - 6.63265*x47 + x154*x58 - 6.63265*x58 + x156*x73 - 6.63265*x73 + x157*x82 - 6.63265*x82 + x158*x86 - 6.63265*x86 + x160*x92 - 6.63265* x92 - 3.31633*x10 - 2.39796*x25 - 2.2449*x32 - 4.03061*x44 =L= 0; e90.. x152*x48 - 1.53061*x48 + x154*x59 - 1.53061*x59 + x155*x67 - 1.53061*x67 + x156*x74 - 1.53061*x74 + x157*x83 - 1.53061*x83 + x160*x93 - 1.53061* x93 + 0.204082*x4 + 1.78571*x11 + 2.2449*x15 + 1.42857*x17 + 1.83673*x29 + 2.85714*x33 + 1.07143*x45 =G= 0; e91.. x152*x48 - 5.2551*x48 + x154*x59 - 5.2551*x59 + x155*x67 - 5.2551*x67 + x156*x74 - 5.2551*x74 + x157*x83 - 5.2551*x83 + x160*x93 - 5.2551*x93 - 3.52041*x4 - 1.93878*x11 - 1.47959*x15 - 2.29592*x17 - 1.88776*x29 - 0.867347*x33 - 2.65306*x45 =L= 0; e92.. x161*x46 - 1.2973*x46 + x161*x47 - 1.2973*x47 + x161*x48 - 1.2973*x48 - 1.08108*x94 - 0.702703*x109 - 0.108108*x117 + 0.162162*x125 - 1.89189*x135 =E= 0; e93.. x162*x49 - 1.2973*x49 + x162*x50 - 1.2973*x50 + x162*x51 - 1.2973*x51 + x162*x52 - 1.2973*x52 + x162*x53 - 1.2973*x53 - 1.08108*x95 + 0.540541*x99 - 0.702703*x110 - 1.08108*x121 - 0.540541*x130 - 1.89189*x136 =E= 0; e94.. x163*x54 - 1.2973*x54 + x163*x55 - 1.2973*x55 + x163*x56 - 1.2973*x56 + x163*x57 - 1.2973*x57 + x163*x58 - 1.2973*x58 + x163*x59 - 1.2973*x59 + 0.540541*x100 - 2.86486*x103 - 0.702703*x111 - 1.08108*x122 + 0.162162*x126 - 0.540541*x131 - 1.89189*x137 =E= 0; e95.. x164*x60 + x164*x61 + x164*x62 + x164*x63 + x164*x64 + x164*x65 + x164* x66 + x164*x67 - 4.16216*x104 - 2*x112 - 1.40541*x118 - 3.18919*x138 =E= 0; e96.. x165*x68 - 1.2973*x68 + x165*x69 - 1.2973*x69 + x165*x70 - 1.2973*x70 + x165*x71 - 1.2973*x71 + x165*x72 - 1.2973*x72 + x165*x73 - 1.2973*x73 + x165*x74 - 1.2973*x74 - 1.08108*x96 - 2.86486*x105 + 0.162162*x127 =E= 0; e97.. x166*x75 - 1.2973*x75 + x166*x76 - 1.2973*x76 + x166*x77 - 1.2973*x77 + x166*x78 - 1.2973*x78 + x166*x79 - 1.2973*x79 + x166*x80 - 1.2973*x80 + x166*x81 - 1.2973*x81 + x166*x82 - 1.2973*x82 + x166*x83 - 1.2973*x83 - 1.08108*x97 + 0.540541*x101 - 2.86486*x106 - 0.702703*x113 - 0.108108*x119 - 1.08108*x123 + 0.162162*x128 - 0.540541*x132 - 1.89189*x139 =E= 0; e98.. x167*x84 - 1.2973*x84 + x167*x85 - 1.2973*x85 + x167*x86 - 1.2973*x86 + 0.540541*x102 - 0.702703*x114 - 1.89189*x140 =E= 0; e99.. x168*x87 - 1.2973*x87 - 1.08108*x98 - 2.86486*x107 - 0.702703*x115 - 0.108108*x120 - 1.08108*x124 - 0.540541*x133 - 1.89189*x141 =E= 0; e100.. x169*x88 - 2.05405*x88 + x169*x89 - 2.05405*x89 + x169*x90 - 2.05405*x90 + x169*x91 - 2.05405*x91 + x169*x92 - 2.05405*x92 + x169*x93 - 2.05405* x93 - 2.10811*x108 + 0.0540541*x116 + 0.918919*x129 + 0.216216*x134 - 1.13514*x142 =E= 0; e101.. x161*x46 - 0.756757*x46 + x163*x54 - 0.756757*x54 + x164*x60 - 0.756757* x60 + x165*x68 - 0.756757*x68 + x166*x75 - 0.756757*x75 + x169*x88 - 0.756757*x88 + 0.540541*x2 + 1.62162*x5 + 1.24324*x18 + 0.648649*x26 + 1.62162*x30 + 1.08108*x36 + 2.43243*x42 =G= 0; e102.. x161*x46 - 4.97297*x46 + x163*x54 - 4.97297*x54 + x164*x60 - 4.97297*x60 + x165*x68 - 4.97297*x68 + x166*x75 - 4.97297*x75 + x169*x88 - 4.97297* x88 - 3.67568*x2 - 2.59459*x5 - 4.21622*x12 - 2.97297*x18 - 3.56757*x26 - 2.59459*x30 - 3.13514*x36 - 1.78378*x42 =L= 0; e103.. x162*x49 - 0.756757*x49 + x163*x55 - 0.756757*x55 + x164*x61 - 0.756757* x61 + x165*x69 - 0.756757*x69 + x166*x76 - 0.756757*x76 + 1.24324*x19 + 0.378378*x34 + 1.08108*x37 =G= 0; e104.. x162*x49 - 8.54054*x49 + x163*x55 - 8.54054*x55 + x164*x61 - 8.54054*x61 + x165*x69 - 8.54054*x69 + x166*x76 - 8.54054*x76 - 6.54054*x19 - 7.40541*x34 - 6.7027*x37 =L= 0; e105.. x162*x50 - 0.756757*x50 + x164*x62 - 0.756757*x62 + x165*x70 - 0.756757* x70 + x166*x77 - 0.756757*x77 + x167*x84 - 0.756757*x84 + x169*x89 - 0.756757*x89 + 1.62162*x6 + 3.40541*x16 + 1.24324*x20 + 1.08108*x38 + 1.62162*x171 + 2.43243*x172 =G= 0; e106.. x162*x50 - 3.72973*x50 + x164*x62 - 3.72973*x62 + x165*x70 - 3.72973*x70 + x166*x77 - 3.72973*x77 + x167*x84 - 3.72973*x84 + x169*x89 - 3.72973* x89 - 1.35135*x6 + 0.432432*x16 - 1.72973*x20 - 1.89189*x38 - 2.97297*x170 - 1.35135*x171 - 0.540541*x172 =L= 0; e107.. x163*x56 - 0.756757*x56 + x164*x63 - 0.756757*x63 + x166*x78 - 0.756757* x78 + x167*x85 - 0.756757*x85 + x169*x90 - 0.756757*x90 + 1.62162*x7 + 1.24324*x21 + 0.648649*x27 + 1.62162*x31 + 1.08108*x39 =G= 0; e108.. x163*x56 - 6.97297*x56 + x164*x63 - 6.97297*x63 + x166*x78 - 6.97297*x78 + x167*x85 - 6.97297*x85 + x169*x90 - 6.97297*x90 - 4.59459*x7 - 6.21622*x13 - 4.97297*x21 - 5.56757*x27 - 4.59459*x31 - 5.13514*x39 =L= 0; e109.. x162*x51 - 0.756757*x51 + x164*x64 - 0.756757*x64 + x166*x79 - 0.756757* x79 + x169*x91 - 0.756757*x91 + 1.24324*x22 + 1.08108*x40 + 2.43243*x43 =G= 0; e110.. x162*x51 - 4.97297*x51 + x164*x64 - 4.97297*x64 + x166*x79 - 4.97297*x79 + x169*x91 - 4.97297*x91 - 2.97297*x22 - 3.13514*x40 - 1.78378*x43 =L= 0; e111.. x162*x52 - 0.756757*x52 + x163*x57 - 0.756757*x57 + x164*x65 - 0.756757* x65 + x165*x71 - 0.756757*x71 + x166*x80 - 0.756757*x80 + 0.540541*x3 + 1.62162*x8 + 1.24324*x23 + 0.648649*x28 + 0.378378*x35 =G= 0; e112.. x162*x52 - 8.05405*x52 + x163*x57 - 8.05405*x57 + x164*x65 - 8.05405*x65 + x165*x71 - 8.05405*x71 + x166*x80 - 8.05405*x80 - 6.75676*x3 - 5.67568*x8 - 6.05405*x23 - 6.64865*x28 - 6.91892*x35 =L= 0; e113.. x162*x53 - 0.756757*x53 + x164*x66 - 0.756757*x66 + x165*x72 - 0.756757* x72 + x166*x81 - 0.756757*x81 + x168*x87 - 0.756757*x87 + 1.62162*x9 + 1.24324*x24 + 1.08108*x41 =G= 0; e114.. x162*x53 - 10*x53 + x164*x66 - 10*x66 + x165*x72 - 10*x72 + x166*x81 - 10*x81 + x168*x87 - 10*x87 - 7.62162*x9 - 9.24324*x14 - 8*x24 - 8.16216*x41 =L= 0; e115.. x161*x47 - 0.756757*x47 + x163*x58 - 0.756757*x58 + x165*x73 - 0.756757* x73 + x166*x82 - 0.756757*x82 + x167*x86 - 0.756757*x86 + x169*x92 - 0.756757*x92 + 1.62162*x10 + 1.24324*x25 + 1.62162*x32 + 2.43243*x44 =G= 0; e116.. x161*x47 - 3.02703*x47 + x163*x58 - 3.02703*x58 + x165*x73 - 3.02703*x73 + x166*x82 - 3.02703*x82 + x167*x86 - 3.02703*x86 + x169*x92 - 3.02703* x92 - 0.648649*x10 - 1.02703*x25 - 0.648649*x32 + 0.162162*x44 =L= 0; e117.. x161*x48 - 0.756757*x48 + x163*x59 - 0.756757*x59 + x164*x67 - 0.756757* x67 + x165*x74 - 0.756757*x74 + x166*x83 - 0.756757*x83 + x169*x93 - 0.756757*x93 + 0.540541*x4 + 1.62162*x11 + 3.40541*x17 + 0.648649*x29 + 1.62162*x33 + 2.43243*x45 =G= 0; e118.. x161*x48 - 8.27027*x48 + x163*x59 - 8.27027*x59 + x164*x67 - 8.27027*x67 + x165*x74 - 8.27027*x74 + x166*x83 - 8.27027*x83 + x169*x93 - 8.27027* x93 - 6.97297*x4 - 5.89189*x11 - 7.51351*x15 - 4.10811*x17 - 6.86486*x29 - 5.89189*x33 - 5.08108*x45 =L= 0; * set non-default bounds x2.up = 0.601266; x3.up = 1.8038; x4.up = 0.949367; x5.up = 0.601266; x6.up = 1.42405; x7.up = 1.20253; x8.up = 1.8038; x9.up = 0.85443; x10.up = 1.42405; x11.up = 0.949367; x12.up = 0.601266; x13.up = 1.20253; x14.up = 0.85443; x15.up = 0.949367; x16.up = 1.42405; x17.up = 0.949367; x18.up = 0.601266; x19.up = 1.29747; x20.up = 1.42405; x21.up = 1.20253; x22.up = 0.443038; x23.up = 1.8038; x24.up = 0.85443; x25.up = 1.42405; x26.up = 0.601266; x27.up = 1.20253; x28.up = 1.8038; x29.up = 0.949367; x30.up = 0.601266; x31.up = 1.20253; x32.up = 1.42405; x33.up = 0.949367; x34.up = 1.29747; x35.up = 1.8038; x36.up = 0.601266; x37.up = 1.29747; x38.up = 1.42405; x39.up = 1.20253; x40.up = 0.443038; x41.up = 0.85443; x42.up = 0.601266; x43.up = 0.443038; x44.up = 1.42405; x45.up = 0.949367; x46.up = 0.601266; x47.up = 1.42405; x48.up = 0.949367; x49.up = 1.29747; x50.up = 1.42405; x51.up = 0.443038; x52.up = 1.8038; x53.up = 0.85443; x54.up = 0.601266; x55.up = 1.29747; x56.up = 1.20253; x57.up = 1.8038; x58.up = 1.42405; x59.up = 0.949367; x60.up = 0.601266; x61.up = 1.29747; x62.up = 1.42405; x63.up = 1.20253; x64.up = 0.443038; x65.up = 1.8038; x66.up = 0.85443; x67.up = 0.949367; x68.up = 0.601266; x69.up = 1.29747; x70.up = 1.42405; x71.up = 1.8038; x72.up = 0.85443; x73.up = 1.42405; x74.up = 0.949367; x75.up = 0.601266; x76.up = 1.29747; x77.up = 1.42405; x78.up = 1.20253; x79.up = 0.443038; x80.up = 1.8038; x81.up = 0.85443; x82.up = 1.42405; x83.up = 0.949367; x84.up = 1.42405; x85.up = 1.20253; x86.up = 1.42405; x87.up = 0.85443; x88.up = 0.601266; x89.up = 1.42405; x90.up = 1.20253; x91.up = 0.443038; x92.up = 1.42405; x93.up = 0.949367; x94.up = 10; x95.up = 10; x96.up = 10; x97.up = 10; x98.up = 10; x99.up = 10; x100.up = 10; x101.up = 10; x102.up = 10; x103.up = 10; x104.up = 10; x105.up = 10; x106.up = 10; x107.up = 10; x108.up = 10; x109.up = 10; x110.up = 10; x111.up = 10; x112.up = 10; x113.up = 10; x114.up = 10; x115.up = 10; x116.up = 10; x117.up = 10; x118.up = 10; x119.up = 10; x120.up = 10; x121.up = 10; x122.up = 10; x123.up = 10; x124.up = 10; x125.up = 10; x126.up = 10; x127.up = 10; x128.up = 10; x129.up = 10; x130.up = 10; x131.up = 10; x132.up = 10; x133.up = 10; x134.up = 10; x135.up = 10; x136.up = 10; x137.up = 10; x138.up = 10; x139.up = 10; x140.up = 10; x141.up = 10; x142.up = 10; x143.lo = 0.481283; x143.up = 4.91979; x144.lo = 0.855615; x144.up = 4.91979; x145.lo = 0.855615; x145.up = 4.91979; x146.lo = 0.481283; x146.up = 4.91979; x147.lo = 1.81818; x147.up = 4.75936; x148.lo = 0.481283; x148.up = 4.91979; x149.lo = 0.855615; x149.up = 4.91979; x150.lo = 0.481283; x150.up = 4.91979; x151.lo = 0.855615; x151.up = 4.91979; x152.lo = 1.73469; x152.up = 4.23469; x153.lo = 1.53061; x153.up = 4.38776; x154.lo = 1.53061; x154.up = 4.38776; x155.lo = 2.60204; x155.up = 4.23469; x156.lo = 1.73469; x156.up = 3.82653; x157.lo = 1.53061; x157.up = 4.38776; x158.lo = 1.73469; x158.up = 4.23469; x159.lo = 1.53061; x159.up = 4.38776; x160.lo = 1.53061; x160.up = 4.23469; x161.lo = 1.13514; x161.up = 3.18919; x162.lo = 0.756757; x162.up = 3.18919; x163.lo = 0.756757; x163.up = 4.16216; x164.lo = 1.40541; x164.up = 4.16216; x165.lo = 1.13514; x165.up = 4.16216; x166.lo = 0.756757; x166.up = 4.16216; x167.lo = 0.756757; x167.up = 3.18919; x168.lo = 1.2973; x168.up = 4.16216; x169.lo = 0.756757; x169.up = 4.16216; x170.up = 1.42405; x171.up = 1.42405; x172.up = 1.42405; Model m / all /; m.limrow=0; m.limcol=0; m.tolproj=0.0; $if NOT '%gams.u1%' == '' $include '%gams.u1%' $if not set NLP $set NLP NLP Solve m using %NLP% minimizing objvar;
Last updated: 2024-08-26 Git hash: 6cc1607f