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Instance fo8_ar25_1
Optimization of block layout design problems with unequal areas
Formatsⓘ | ams gms mod nl osil py |
Primal Bounds (infeas ≤ 1e-08)ⓘ | |
Other points (infeas > 1e-08)ⓘ | |
Dual Boundsⓘ | 28.04400800 (ALPHAECP) 28.04518140 (ANTIGONE) 28.04518122 (BARON) 28.04518138 (BONMIN) 14.21360666 (COUENNE) 24.01256382 (LINDO) 28.04518140 (SCIP) 28.04515922 (SHOT) |
Referencesⓘ | Castillo, Ignacio, Westerlund, Joakim, Emet, Stefan, and Westerlund, Tapio, Optimization of block layout design problems with unequal areas: A comparison of MILP and MINLP optimization methods, Computers and Chemical Engineering, 30:1, 2005, 54-69. |
Applicationⓘ | Layout |
Added to libraryⓘ | 19 Dec 2005 |
Problem typeⓘ | MINLP |
#Variablesⓘ | 144 |
#Binary Variablesⓘ | 0 |
#Integer Variablesⓘ | 56 |
#Nonlinear Variablesⓘ | 16 |
#Nonlinear Binary Variablesⓘ | 0 |
#Nonlinear Integer Variablesⓘ | 0 |
Objective Senseⓘ | min |
Objective typeⓘ | linear |
Objective curvatureⓘ | linear |
#Nonzeros in Objectiveⓘ | 14 |
#Nonlinear Nonzeros in Objectiveⓘ | 0 |
#Constraintsⓘ | 347 |
#Linear Constraintsⓘ | 331 |
#Quadratic Constraintsⓘ | 0 |
#Polynomial Constraintsⓘ | 0 |
#Signomial Constraintsⓘ | 16 |
#General Nonlinear Constraintsⓘ | 0 |
Operands in Gen. Nonlin. Functionsⓘ | |
Constraints curvatureⓘ | convex |
#Nonzeros in Jacobianⓘ | 1366 |
#Nonlinear Nonzeros in Jacobianⓘ | 16 |
#Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 16 |
#Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 16 |
#Blocks in Hessian of Lagrangianⓘ | 16 |
Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
Maximal blocksize in Hessian of Lagrangianⓘ | 1 |
Average blocksize in Hessian of Lagrangianⓘ | 1.0 |
#Semicontinuitiesⓘ | 0 |
#Nonlinear Semicontinuitiesⓘ | 0 |
#SOS type 1ⓘ | 0 |
#SOS type 2ⓘ | 0 |
Minimal coefficientⓘ | 1.0541e-01 |
Maximal coefficientⓘ | 3.6000e+01 |
Infeasibility of initial pointⓘ | 5.692 |
Sparsity Jacobianⓘ | |
Sparsity Hessian of Lagrangianⓘ |
$offlisting * * Equation counts * Total E G L N X C B * 348 2 2 344 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 145 89 0 56 0 0 0 0 * FX 0 * * Nonzero counts * Total const NL DLL * 1381 1365 16 0 * * Solve m using MINLP minimizing objvar; Variables i1,i2,i3,i4,i5,i6,i7,i8,i9,i10,i11,i12,i13,i14,i15,i16,i17,i18,i19 ,i20,i21,i22,i23,i24,i25,i26,i27,i28,i29,i30,i31,i32,i33,i34,i35,i36 ,i37,i38,i39,i40,i41,i42,i43,i44,i45,i46,i47,i48,i49,i50,i51,i52,i53 ,i54,i55,i56,objvar,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; Integer Variables i1,i2,i3,i4,i5,i6,i7,i8,i9,i10,i11,i12,i13,i14,i15,i16,i17 ,i18,i19,i20,i21,i22,i23,i24,i25,i26,i27,i28,i29,i30,i31,i32,i33,i34 ,i35,i36,i37,i38,i39,i40,i41,i42,i43,i44,i45,i46,i47,i48,i49,i50,i51 ,i52,i53,i54,i55,i56; 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,e258,e259 ,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272 ,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285 ,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298 ,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311 ,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324 ,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337 ,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348; e1.. objvar - x58 - x59 - x60 - x61 - x62 - x63 - x64 - x65 - x66 - x67 - x68 - x69 - x70 - x71 =E= 0; e2.. x72 - x73 =G= 0; e3.. x74 - x75 =G= 0; e4.. i1 - i2 =E= 0; e5.. - 11.31*i1 - x58 + 0.5*x76 + 0.5*x77 =L= 0; e6.. 13*i1 - x59 + 0.5*x78 + 0.5*x79 =L= 13; e7.. - 11.31*i3 + 0.5*x76 + 0.5*x80 - x81 =L= 0; e8.. 13*i3 + 0.5*x78 + 0.5*x82 - x83 =L= 13; e9.. - 11.31*i5 + 0.5*x76 + 0.5*x84 - x85 =L= 0; e10.. 13*i5 + 0.5*x78 + 0.5*x86 - x87 =L= 13; e11.. - 11.31*i7 + 0.5*x76 + 0.5*x88 - x89 =L= 0; e12.. 13*i7 + 0.5*x78 + 0.5*x90 - x91 =L= 13; e13.. - 11.31*i9 + 0.5*x76 + 0.5*x92 - x93 =L= 0; e14.. 13*i9 + 0.5*x78 + 0.5*x94 - x95 =L= 13; e15.. - 11.31*i11 + 0.5*x76 + 0.5*x96 - x97 =L= 0; e16.. 13*i11 + 0.5*x78 + 0.5*x98 - x99 =L= 13; e17.. - 11.31*i13 + 0.5*x76 + 0.5*x100 - x101 =L= 0; e18.. 13*i13 + 0.5*x78 + 0.5*x102 - x103 =L= 13; e19.. - 11.31*i15 - x60 + 0.5*x77 + 0.5*x80 =L= 0; e20.. 13*i15 - x61 + 0.5*x79 + 0.5*x82 =L= 13; e21.. - 11.31*i17 + 0.5*x77 + 0.5*x84 - x104 =L= 0; e22.. 13*i17 + 0.5*x79 + 0.5*x86 - x105 =L= 13; e23.. - 11.31*i19 + 0.5*x77 + 0.5*x88 - x106 =L= 0; e24.. 13*i19 + 0.5*x79 + 0.5*x90 - x107 =L= 13; e25.. - 11.31*i21 + 0.5*x77 + 0.5*x92 - x108 =L= 0; e26.. 13*i21 + 0.5*x79 + 0.5*x94 - x109 =L= 13; e27.. - 11.31*i23 + 0.5*x77 + 0.5*x96 - x110 =L= 0; e28.. 13*i23 + 0.5*x79 + 0.5*x98 - x111 =L= 13; e29.. - 11.31*i25 + 0.5*x77 + 0.5*x100 - x112 =L= 0; e30.. 13*i25 + 0.5*x79 + 0.5*x102 - x113 =L= 13; e31.. - 11.31*i27 - x62 + 0.5*x80 + 0.5*x84 =L= 0; e32.. 13*i27 - x63 + 0.5*x82 + 0.5*x86 =L= 13; e33.. - 11.31*i29 + 0.5*x80 + 0.5*x88 - x114 =L= 0; e34.. 13*i29 + 0.5*x82 + 0.5*x90 - x115 =L= 13; e35.. - 11.31*i31 + 0.5*x80 + 0.5*x92 - x116 =L= 0; e36.. 13*i31 + 0.5*x82 + 0.5*x94 - x117 =L= 13; e37.. - 11.31*i33 + 0.5*x80 + 0.5*x96 - x118 =L= 0; e38.. 13*i33 + 0.5*x82 + 0.5*x98 - x119 =L= 13; e39.. - 11.31*i35 + 0.5*x80 + 0.5*x100 - x120 =L= 0; e40.. 13*i35 + 0.5*x82 + 0.5*x102 - x121 =L= 13; e41.. - 11.31*i37 - x64 + 0.5*x84 + 0.5*x88 =L= 0; e42.. 13*i37 - x65 + 0.5*x86 + 0.5*x90 =L= 13; e43.. - 11.31*i39 + 0.5*x84 + 0.5*x92 - x122 =L= 0; e44.. 13*i39 + 0.5*x86 + 0.5*x94 - x123 =L= 13; e45.. - 11.31*i41 + 0.5*x84 + 0.5*x96 - x124 =L= 0; e46.. 13*i41 + 0.5*x86 + 0.5*x98 - x125 =L= 13; e47.. - 11.31*i43 + 0.5*x84 + 0.5*x100 - x126 =L= 0; e48.. 13*i43 + 0.5*x86 + 0.5*x102 - x127 =L= 13; e49.. - 11.31*i45 - x66 + 0.5*x88 + 0.5*x92 =L= 0; e50.. 13*i45 - x67 + 0.5*x90 + 0.5*x94 =L= 13; e51.. - 11.31*i47 + 0.5*x88 + 0.5*x96 - x128 =L= 0; e52.. 13*i47 + 0.5*x90 + 0.5*x98 - x129 =L= 13; e53.. - 11.31*i49 + 0.5*x88 + 0.5*x100 - x130 =L= 0; e54.. 13*i49 + 0.5*x90 + 0.5*x102 - x131 =L= 13; e55.. - 11.31*i51 - x68 + 0.5*x92 + 0.5*x96 =L= 0; e56.. 13*i51 - x69 + 0.5*x94 + 0.5*x98 =L= 13; e57.. - 11.31*i53 + 0.5*x92 + 0.5*x100 - x132 =L= 0; e58.. 13*i53 + 0.5*x94 + 0.5*x102 - x133 =L= 13; e59.. - 11.31*i55 - x70 + 0.5*x96 + 0.5*x100 =L= 0; e60.. 13*i55 - x71 + 0.5*x98 + 0.5*x102 =L= 13; e61.. - 0.395288*x76 - 0.158112*x78 =L= -2; e62.. - 0.158113*x76 - 0.395288*x78 =L= -2; e63.. - 0.395288*x77 - 0.158112*x79 =L= -2; e64.. - 0.158113*x77 - 0.395288*x79 =L= -2; e65.. - 0.395288*x80 - 0.158112*x82 =L= -2; e66.. - 0.158113*x80 - 0.395288*x82 =L= -2; e67.. - 0.263525*x84 - 0.105408*x86 =L= -2; e68.. - 0.10541*x84 - 0.263522*x86 =L= -2; e69.. - 0.263525*x88 - 0.105408*x90 =L= -2; e70.. - 0.10541*x88 - 0.263522*x90 =L= -2; e71.. - 0.527037*x92 - 0.210822*x94 =L= -2; e72.. - 0.210819*x92 - 0.527044*x94 =L= -2; e73.. - 0.527037*x96 - 0.210822*x98 =L= -2; e74.. - 0.210819*x96 - 0.527044*x98 =L= -2; e75.. - 0.527037*x100 - 0.210822*x102 =L= -2; e76.. - 0.210819*x100 - 0.527044*x102 =L= -2; e77.. x72 + 0.5*x76 =L= 11.31; e78.. - x72 + 0.5*x76 =L= 0; e79.. x75 + 0.5*x78 =L= 13; e80.. - x75 + 0.5*x78 =L= 0; e81.. x73 + 0.5*x77 =L= 11.31; e82.. - x73 + 0.5*x77 =L= 0; e83.. x74 + 0.5*x79 =L= 13; e84.. - x74 + 0.5*x79 =L= 0; e85.. 0.5*x80 + x134 =L= 11.31; e86.. 0.5*x80 - x134 =L= 0; e87.. 0.5*x82 + x135 =L= 13; e88.. 0.5*x82 - x135 =L= 0; e89.. 0.5*x84 + x136 =L= 11.31; e90.. 0.5*x84 - x136 =L= 0; e91.. 0.5*x86 + x137 =L= 13; e92.. 0.5*x86 - x137 =L= 0; e93.. 0.5*x88 + x138 =L= 11.31; e94.. 0.5*x88 - x138 =L= 0; e95.. 0.5*x90 + x139 =L= 13; e96.. 0.5*x90 - x139 =L= 0; e97.. 0.5*x92 + x140 =L= 11.31; e98.. 0.5*x92 - x140 =L= 0; e99.. 0.5*x94 + x141 =L= 13; e100.. 0.5*x94 - x141 =L= 0; e101.. 0.5*x96 + x142 =L= 11.31; e102.. 0.5*x96 - x142 =L= 0; e103.. 0.5*x98 + x143 =L= 13; e104.. 0.5*x98 - x143 =L= 0; e105.. 0.5*x100 + x144 =L= 11.31; e106.. 0.5*x100 - x144 =L= 0; e107.. 0.5*x102 + x145 =L= 13; e108.. 0.5*x102 - x145 =L= 0; e109.. - x58 + x72 - x73 =L= 0; e110.. - x58 - x72 + x73 =L= 0; e111.. - x59 - x74 + x75 =L= 0; e112.. - x59 + x74 - x75 =L= 0; e113.. - 11.31*i1 - 11.31*i2 - x72 + x73 + 0.5*x76 + 0.5*x77 =L= 0; e114.. - 11.31*i1 + 11.31*i2 + x72 - x73 + 0.5*x76 + 0.5*x77 =L= 11.31; e115.. 13*i1 - 13*i2 + x74 - x75 + 0.5*x78 + 0.5*x79 =L= 13; e116.. 13*i1 + 13*i2 - x74 + x75 + 0.5*x78 + 0.5*x79 =L= 26; e117.. x72 - x81 - x134 =L= 0; e118.. - x72 - x81 + x134 =L= 0; e119.. x75 - x83 - x135 =L= 0; e120.. - x75 - x83 + x135 =L= 0; e121.. - 11.31*i3 - 11.31*i4 - x72 + 0.5*x76 + 0.5*x80 + x134 =L= 0; e122.. - 11.31*i3 + 11.31*i4 + x72 + 0.5*x76 + 0.5*x80 - x134 =L= 11.31; e123.. 13*i3 - 13*i4 - x75 + 0.5*x78 + 0.5*x82 + x135 =L= 13; e124.. 13*i3 + 13*i4 + x75 + 0.5*x78 + 0.5*x82 - x135 =L= 26; e125.. x72 - x85 - x136 =L= 0; e126.. - x72 - x85 + x136 =L= 0; e127.. x75 - x87 - x137 =L= 0; e128.. - x75 - x87 + x137 =L= 0; e129.. - 11.31*i5 - 11.31*i6 - x72 + 0.5*x76 + 0.5*x84 + x136 =L= 0; e130.. - 11.31*i5 + 11.31*i6 + x72 + 0.5*x76 + 0.5*x84 - x136 =L= 11.31; e131.. 13*i5 - 13*i6 - x75 + 0.5*x78 + 0.5*x86 + x137 =L= 13; e132.. 13*i5 + 13*i6 + x75 + 0.5*x78 + 0.5*x86 - x137 =L= 26; e133.. x72 - x89 - x138 =L= 0; e134.. - x72 - x89 + x138 =L= 0; e135.. x75 - x91 - x139 =L= 0; e136.. - x75 - x91 + x139 =L= 0; e137.. - 11.31*i7 - 11.31*i8 - x72 + 0.5*x76 + 0.5*x88 + x138 =L= 0; e138.. - 11.31*i7 + 11.31*i8 + x72 + 0.5*x76 + 0.5*x88 - x138 =L= 11.31; e139.. 13*i7 - 13*i8 - x75 + 0.5*x78 + 0.5*x90 + x139 =L= 13; e140.. 13*i7 + 13*i8 + x75 + 0.5*x78 + 0.5*x90 - x139 =L= 26; e141.. x72 - x93 - x140 =L= 0; e142.. - x72 - x93 + x140 =L= 0; e143.. x75 - x95 - x141 =L= 0; e144.. - x75 - x95 + x141 =L= 0; e145.. - 11.31*i9 - 11.31*i10 - x72 + 0.5*x76 + 0.5*x92 + x140 =L= 0; e146.. - 11.31*i9 + 11.31*i10 + x72 + 0.5*x76 + 0.5*x92 - x140 =L= 11.31; e147.. 13*i9 - 13*i10 - x75 + 0.5*x78 + 0.5*x94 + x141 =L= 13; e148.. 13*i9 + 13*i10 + x75 + 0.5*x78 + 0.5*x94 - x141 =L= 26; e149.. x72 - x97 - x142 =L= 0; e150.. - x72 - x97 + x142 =L= 0; e151.. x75 - x99 - x143 =L= 0; e152.. - x75 - x99 + x143 =L= 0; e153.. - 11.31*i11 - 11.31*i12 - x72 + 0.5*x76 + 0.5*x96 + x142 =L= 0; e154.. - 11.31*i11 + 11.31*i12 + x72 + 0.5*x76 + 0.5*x96 - x142 =L= 11.31; e155.. 13*i11 - 13*i12 - x75 + 0.5*x78 + 0.5*x98 + x143 =L= 13; e156.. 13*i11 + 13*i12 + x75 + 0.5*x78 + 0.5*x98 - x143 =L= 26; e157.. x72 - x101 - x144 =L= 0; e158.. - x72 - x101 + x144 =L= 0; e159.. x75 - x103 - x145 =L= 0; e160.. - x75 - x103 + x145 =L= 0; e161.. - 11.31*i13 - 11.31*i14 - x72 + 0.5*x76 + 0.5*x100 + x144 =L= 0; e162.. - 11.31*i13 + 11.31*i14 + x72 + 0.5*x76 + 0.5*x100 - x144 =L= 11.31; e163.. 13*i13 - 13*i14 - x75 + 0.5*x78 + 0.5*x102 + x145 =L= 13; e164.. 13*i13 + 13*i14 + x75 + 0.5*x78 + 0.5*x102 - x145 =L= 26; e165.. - x60 + x73 - x134 =L= 0; e166.. - x60 - x73 + x134 =L= 0; e167.. - x61 + x74 - x135 =L= 0; e168.. - x61 - x74 + x135 =L= 0; e169.. - 11.31*i15 - 11.31*i16 - x73 + 0.5*x77 + 0.5*x80 + x134 =L= 0; e170.. - 11.31*i15 + 11.31*i16 + x73 + 0.5*x77 + 0.5*x80 - x134 =L= 11.31; e171.. 13*i15 - 13*i16 - x74 + 0.5*x79 + 0.5*x82 + x135 =L= 13; e172.. 13*i15 + 13*i16 + x74 + 0.5*x79 + 0.5*x82 - x135 =L= 26; e173.. x73 - x104 - x136 =L= 0; e174.. - x73 - x104 + x136 =L= 0; e175.. x74 - x105 - x137 =L= 0; e176.. - x74 - x105 + x137 =L= 0; e177.. - 11.31*i17 - 11.31*i18 - x73 + 0.5*x77 + 0.5*x84 + x136 =L= 0; e178.. - 11.31*i17 + 11.31*i18 + x73 + 0.5*x77 + 0.5*x84 - x136 =L= 11.31; e179.. 13*i17 - 13*i18 - x74 + 0.5*x79 + 0.5*x86 + x137 =L= 13; e180.. 13*i17 + 13*i18 + x74 + 0.5*x79 + 0.5*x86 - x137 =L= 26; e181.. x73 - x106 - x138 =L= 0; e182.. - x73 - x106 + x138 =L= 0; e183.. x74 - x107 - x139 =L= 0; e184.. - x74 - x107 + x139 =L= 0; e185.. - 11.31*i19 - 11.31*i20 - x73 + 0.5*x77 + 0.5*x88 + x138 =L= 0; e186.. - 11.31*i19 + 11.31*i20 + x73 + 0.5*x77 + 0.5*x88 - x138 =L= 11.31; e187.. 13*i19 - 13*i20 - x74 + 0.5*x79 + 0.5*x90 + x139 =L= 13; e188.. 13*i19 + 13*i20 + x74 + 0.5*x79 + 0.5*x90 - x139 =L= 26; e189.. x73 - x108 - x140 =L= 0; e190.. - x73 - x108 + x140 =L= 0; e191.. x74 - x109 - x141 =L= 0; e192.. - x74 - x109 + x141 =L= 0; e193.. - 11.31*i21 - 11.31*i22 - x73 + 0.5*x77 + 0.5*x92 + x140 =L= 0; e194.. - 11.31*i21 + 11.31*i22 + x73 + 0.5*x77 + 0.5*x92 - x140 =L= 11.31; e195.. 13*i21 - 13*i22 - x74 + 0.5*x79 + 0.5*x94 + x141 =L= 13; e196.. 13*i21 + 13*i22 + x74 + 0.5*x79 + 0.5*x94 - x141 =L= 26; e197.. x73 - x110 - x142 =L= 0; e198.. - x73 - x110 + x142 =L= 0; e199.. x74 - x111 - x143 =L= 0; e200.. - x74 - x111 + x143 =L= 0; e201.. - 11.31*i23 - 11.31*i24 - x73 + 0.5*x77 + 0.5*x96 + x142 =L= 0; e202.. - 11.31*i23 + 11.31*i24 + x73 + 0.5*x77 + 0.5*x96 - x142 =L= 11.31; e203.. 13*i23 - 13*i24 - x74 + 0.5*x79 + 0.5*x98 + x143 =L= 13; e204.. 13*i23 + 13*i24 + x74 + 0.5*x79 + 0.5*x98 - x143 =L= 26; e205.. x73 - x112 - x144 =L= 0; e206.. - x73 - x112 + x144 =L= 0; e207.. x74 - x113 - x145 =L= 0; e208.. - x74 - x113 + x145 =L= 0; e209.. - 11.31*i25 - 11.31*i26 - x73 + 0.5*x77 + 0.5*x100 + x144 =L= 0; e210.. - 11.31*i25 + 11.31*i26 + x73 + 0.5*x77 + 0.5*x100 - x144 =L= 11.31; e211.. 13*i25 - 13*i26 - x74 + 0.5*x79 + 0.5*x102 + x145 =L= 13; e212.. 13*i25 + 13*i26 + x74 + 0.5*x79 + 0.5*x102 - x145 =L= 26; e213.. - x62 + x134 - x136 =L= 0; e214.. - x62 - x134 + x136 =L= 0; e215.. - x63 + x135 - x137 =L= 0; e216.. - x63 - x135 + x137 =L= 0; e217.. - 11.31*i27 - 11.31*i28 + 0.5*x80 + 0.5*x84 - x134 + x136 =L= 0; e218.. - 11.31*i27 + 11.31*i28 + 0.5*x80 + 0.5*x84 + x134 - x136 =L= 11.31; e219.. 13*i27 - 13*i28 + 0.5*x82 + 0.5*x86 - x135 + x137 =L= 13; e220.. 13*i27 + 13*i28 + 0.5*x82 + 0.5*x86 + x135 - x137 =L= 26; e221.. - x114 + x134 - x138 =L= 0; e222.. - x114 - x134 + x138 =L= 0; e223.. - x115 + x135 - x139 =L= 0; e224.. - x115 - x135 + x139 =L= 0; e225.. - 11.31*i29 - 11.31*i30 + 0.5*x80 + 0.5*x88 - x134 + x138 =L= 0; e226.. - 11.31*i29 + 11.31*i30 + 0.5*x80 + 0.5*x88 + x134 - x138 =L= 11.31; e227.. 13*i29 - 13*i30 + 0.5*x82 + 0.5*x90 - x135 + x139 =L= 13; e228.. 13*i29 + 13*i30 + 0.5*x82 + 0.5*x90 + x135 - x139 =L= 26; e229.. - x116 + x134 - x140 =L= 0; e230.. - x116 - x134 + x140 =L= 0; e231.. - x117 + x135 - x141 =L= 0; e232.. - x117 - x135 + x141 =L= 0; e233.. - 11.31*i31 - 11.31*i32 + 0.5*x80 + 0.5*x92 - x134 + x140 =L= 0; e234.. - 11.31*i31 + 11.31*i32 + 0.5*x80 + 0.5*x92 + x134 - x140 =L= 11.31; e235.. 13*i31 - 13*i32 + 0.5*x82 + 0.5*x94 - x135 + x141 =L= 13; e236.. 13*i31 + 13*i32 + 0.5*x82 + 0.5*x94 + x135 - x141 =L= 26; e237.. - x118 + x134 - x142 =L= 0; e238.. - x118 - x134 + x142 =L= 0; e239.. - x119 + x135 - x143 =L= 0; e240.. - x119 - x135 + x143 =L= 0; e241.. - 11.31*i33 - 11.31*i34 + 0.5*x80 + 0.5*x96 - x134 + x142 =L= 0; e242.. - 11.31*i33 + 11.31*i34 + 0.5*x80 + 0.5*x96 + x134 - x142 =L= 11.31; e243.. 13*i33 - 13*i34 + 0.5*x82 + 0.5*x98 - x135 + x143 =L= 13; e244.. 13*i33 + 13*i34 + 0.5*x82 + 0.5*x98 + x135 - x143 =L= 26; e245.. - x120 + x134 - x144 =L= 0; e246.. - x120 - x134 + x144 =L= 0; e247.. - x121 + x135 - x145 =L= 0; e248.. - x121 - x135 + x145 =L= 0; e249.. - 11.31*i35 - 11.31*i36 + 0.5*x80 + 0.5*x100 - x134 + x144 =L= 0; e250.. - 11.31*i35 + 11.31*i36 + 0.5*x80 + 0.5*x100 + x134 - x144 =L= 11.31; e251.. 13*i35 - 13*i36 + 0.5*x82 + 0.5*x102 - x135 + x145 =L= 13; e252.. 13*i35 + 13*i36 + 0.5*x82 + 0.5*x102 + x135 - x145 =L= 26; e253.. - x64 + x136 - x138 =L= 0; e254.. - x64 - x136 + x138 =L= 0; e255.. - x65 + x137 - x139 =L= 0; e256.. - x65 - x137 + x139 =L= 0; e257.. - 11.31*i37 - 11.31*i38 + 0.5*x84 + 0.5*x88 - x136 + x138 =L= 0; e258.. - 11.31*i37 + 11.31*i38 + 0.5*x84 + 0.5*x88 + x136 - x138 =L= 11.31; e259.. 13*i37 - 13*i38 + 0.5*x86 + 0.5*x90 - x137 + x139 =L= 13; e260.. 13*i37 + 13*i38 + 0.5*x86 + 0.5*x90 + x137 - x139 =L= 26; e261.. - x122 + x136 - x140 =L= 0; e262.. - x122 - x136 + x140 =L= 0; e263.. - x123 + x137 - x141 =L= 0; e264.. - x123 - x137 + x141 =L= 0; e265.. - 11.31*i39 - 11.31*i40 + 0.5*x84 + 0.5*x92 - x136 + x140 =L= 0; e266.. - 11.31*i39 + 11.31*i40 + 0.5*x84 + 0.5*x92 + x136 - x140 =L= 11.31; e267.. 13*i39 - 13*i40 + 0.5*x86 + 0.5*x94 - x137 + x141 =L= 13; e268.. 13*i39 + 13*i40 + 0.5*x86 + 0.5*x94 + x137 - x141 =L= 26; e269.. - x124 + x136 - x142 =L= 0; e270.. - x124 - x136 + x142 =L= 0; e271.. - x125 + x137 - x143 =L= 0; e272.. - x125 - x137 + x143 =L= 0; e273.. - 11.31*i41 - 11.31*i42 + 0.5*x84 + 0.5*x96 - x136 + x142 =L= 0; e274.. - 11.31*i41 + 11.31*i42 + 0.5*x84 + 0.5*x96 + x136 - x142 =L= 11.31; e275.. 13*i41 - 13*i42 + 0.5*x86 + 0.5*x98 - x137 + x143 =L= 13; e276.. 13*i41 + 13*i42 + 0.5*x86 + 0.5*x98 + x137 - x143 =L= 26; e277.. - x126 + x136 - x144 =L= 0; e278.. - x126 - x136 + x144 =L= 0; e279.. - x127 + x137 - x145 =L= 0; e280.. - x127 - x137 + x145 =L= 0; e281.. - 11.31*i43 - 11.31*i44 + 0.5*x84 + 0.5*x100 - x136 + x144 =L= 0; e282.. - 11.31*i43 + 11.31*i44 + 0.5*x84 + 0.5*x100 + x136 - x144 =L= 11.31; e283.. 13*i43 - 13*i44 + 0.5*x86 + 0.5*x102 - x137 + x145 =L= 13; e284.. 13*i43 + 13*i44 + 0.5*x86 + 0.5*x102 + x137 - x145 =L= 26; e285.. - x66 + x138 - x140 =L= 0; e286.. - x66 - x138 + x140 =L= 0; e287.. - x67 + x139 - x141 =L= 0; e288.. - x67 - x139 + x141 =L= 0; e289.. - 11.31*i45 - 11.31*i46 + 0.5*x88 + 0.5*x92 - x138 + x140 =L= 0; e290.. - 11.31*i45 + 11.31*i46 + 0.5*x88 + 0.5*x92 + x138 - x140 =L= 11.31; e291.. 13*i45 - 13*i46 + 0.5*x90 + 0.5*x94 - x139 + x141 =L= 13; e292.. 13*i45 + 13*i46 + 0.5*x90 + 0.5*x94 + x139 - x141 =L= 26; e293.. - x128 + x138 - x142 =L= 0; e294.. - x128 - x138 + x142 =L= 0; e295.. - x129 + x139 - x143 =L= 0; e296.. - x129 - x139 + x143 =L= 0; e297.. - 11.31*i47 - 11.31*i48 + 0.5*x88 + 0.5*x96 - x138 + x142 =L= 0; e298.. - 11.31*i47 + 11.31*i48 + 0.5*x88 + 0.5*x96 + x138 - x142 =L= 11.31; e299.. 13*i47 - 13*i48 + 0.5*x90 + 0.5*x98 - x139 + x143 =L= 13; e300.. 13*i47 + 13*i48 + 0.5*x90 + 0.5*x98 + x139 - x143 =L= 26; e301.. - x130 + x138 - x144 =L= 0; e302.. - x130 - x138 + x144 =L= 0; e303.. - x131 + x139 - x145 =L= 0; e304.. - x131 - x139 + x145 =L= 0; e305.. - 11.31*i49 - 11.31*i50 + 0.5*x88 + 0.5*x100 - x138 + x144 =L= 0; e306.. - 11.31*i49 + 11.31*i50 + 0.5*x88 + 0.5*x100 + x138 - x144 =L= 11.31; e307.. 13*i49 - 13*i50 + 0.5*x90 + 0.5*x102 - x139 + x145 =L= 13; e308.. 13*i49 + 13*i50 + 0.5*x90 + 0.5*x102 + x139 - x145 =L= 26; e309.. - x68 + x140 - x142 =L= 0; e310.. - x68 - x140 + x142 =L= 0; e311.. - x69 + x141 - x143 =L= 0; e312.. - x69 - x141 + x143 =L= 0; e313.. - 11.31*i51 - 11.31*i52 + 0.5*x92 + 0.5*x96 - x140 + x142 =L= 0; e314.. - 11.31*i51 + 11.31*i52 + 0.5*x92 + 0.5*x96 + x140 - x142 =L= 11.31; e315.. 13*i51 - 13*i52 + 0.5*x94 + 0.5*x98 - x141 + x143 =L= 13; e316.. 13*i51 + 13*i52 + 0.5*x94 + 0.5*x98 + x141 - x143 =L= 26; e317.. - x132 + x140 - x144 =L= 0; e318.. - x132 - x140 + x144 =L= 0; e319.. - x133 + x141 - x145 =L= 0; e320.. - x133 - x141 + x145 =L= 0; e321.. - 11.31*i53 - 11.31*i54 + 0.5*x92 + 0.5*x100 - x140 + x144 =L= 0; e322.. - 11.31*i53 + 11.31*i54 + 0.5*x92 + 0.5*x100 + x140 - x144 =L= 11.31; e323.. 13*i53 - 13*i54 + 0.5*x94 + 0.5*x102 - x141 + x145 =L= 13; e324.. 13*i53 + 13*i54 + 0.5*x94 + 0.5*x102 + x141 - x145 =L= 26; e325.. - x70 + x142 - x144 =L= 0; e326.. - x70 - x142 + x144 =L= 0; e327.. - x71 + x143 - x145 =L= 0; e328.. - x71 - x143 + x145 =L= 0; e329.. - 11.31*i55 - 11.31*i56 + 0.5*x96 + 0.5*x100 - x142 + x144 =L= 0; e330.. - 11.31*i55 + 11.31*i56 + 0.5*x96 + 0.5*x100 + x142 - x144 =L= 11.31; e331.. 13*i55 - 13*i56 + 0.5*x98 + 0.5*x102 - x143 + x145 =L= 13; e332.. 13*i55 + 13*i56 + 0.5*x98 + 0.5*x102 + x143 - x145 =L= 26; e333.. 16/x76 - x78 =L= 0; e334.. 16/x78 - x76 =L= 0; e335.. 16/x77 - x79 =L= 0; e336.. 16/x79 - x77 =L= 0; e337.. 16/x80 - x82 =L= 0; e338.. 16/x82 - x80 =L= 0; e339.. 36/x84 - x86 =L= 0; e340.. 36/x86 - x84 =L= 0; e341.. 36/x88 - x90 =L= 0; e342.. 36/x90 - x88 =L= 0; e343.. 9/x92 - x94 =L= 0; e344.. 9/x94 - x92 =L= 0; e345.. 9/x96 - x98 =L= 0; e346.. 9/x98 - x96 =L= 0; e347.. 9/x100 - x102 =L= 0; e348.. 9/x102 - x100 =L= 0; * set non-default bounds i1.up = 100; i2.up = 100; i3.up = 100; i4.up = 100; i5.up = 100; i6.up = 100; i7.up = 100; i8.up = 100; i9.up = 100; i10.up = 100; i11.up = 100; i12.up = 100; i13.up = 100; i14.up = 100; i15.up = 100; i16.up = 100; i17.up = 100; i18.up = 100; i19.up = 100; i20.up = 100; i21.up = 100; i22.up = 100; i23.up = 100; i24.up = 100; i25.up = 100; i26.up = 100; i27.up = 100; i28.up = 100; i29.up = 100; i30.up = 100; i31.up = 100; i32.up = 100; i33.up = 100; i34.up = 100; i35.up = 100; i36.up = 100; i37.up = 100; i38.up = 100; i39.up = 100; i40.up = 100; i41.up = 100; i42.up = 100; i43.up = 100; i44.up = 100; i45.up = 100; i46.up = 100; i47.up = 100; i48.up = 100; i49.up = 100; i50.up = 100; i51.up = 100; i52.up = 100; i53.up = 100; i54.up = 100; i55.up = 100; i56.up = 100; x76.lo = 2.5298; x76.up = 6.3246; x77.lo = 2.5298; x77.up = 6.3246; x78.lo = 2.5298; x78.up = 6.3246; x79.lo = 2.5298; x79.up = 6.3246; x80.lo = 2.5298; x80.up = 6.3246; x82.lo = 2.5298; x82.up = 6.3246; x84.lo = 3.7947; x84.up = 9.4868; x86.lo = 3.7947; x86.up = 9.4868; x88.lo = 3.7947; x88.up = 9.4868; x90.lo = 3.7947; x90.up = 9.4868; x92.lo = 1.8974; x92.up = 4.7434; x94.lo = 1.8974; x94.up = 4.7434; x96.lo = 1.8974; x96.up = 4.7434; x98.lo = 1.8974; x98.up = 4.7434; x100.lo = 1.8974; x100.up = 4.7434; x102.lo = 1.8974; x102.up = 4.7434; 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: 2024-11-25 Git hash: de62f3e5