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Instance no7_ar2_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ⓘ | 107.80736000 (ALPHAECP) 107.81530830 (ANTIGONE) 107.81530830 (BARON) 79.49395000 (BONMIN) 107.81527290 (COUENNE) 107.81530710 (LINDO) 107.81530020 (SCIP) 107.81525940 (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ⓘ | 112 |
#Binary Variablesⓘ | 0 |
#Integer Variablesⓘ | 42 |
#Nonlinear Variablesⓘ | 14 |
#Nonlinear Binary Variablesⓘ | 0 |
#Nonlinear Integer Variablesⓘ | 0 |
Objective Senseⓘ | min |
Objective typeⓘ | linear |
Objective curvatureⓘ | linear |
#Nonzeros in Objectiveⓘ | 18 |
#Nonlinear Nonzeros in Objectiveⓘ | 0 |
#Constraintsⓘ | 269 |
#Linear Constraintsⓘ | 255 |
#Quadratic Constraintsⓘ | 0 |
#Polynomial Constraintsⓘ | 0 |
#Signomial Constraintsⓘ | 14 |
#General Nonlinear Constraintsⓘ | 0 |
Operands in Gen. Nonlin. Functionsⓘ | |
Constraints curvatureⓘ | convex |
#Nonzeros in Jacobianⓘ | 1042 |
#Nonlinear Nonzeros in Jacobianⓘ | 14 |
#Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 14 |
#Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 14 |
#Blocks in Hessian of Lagrangianⓘ | 14 |
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ⓘ | 1.1785e-01 |
Maximal coefficientⓘ | 3.6000e+01 |
Infeasibility of initial pointⓘ | 4.243 |
Sparsity Jacobianⓘ | |
Sparsity Hessian of Lagrangianⓘ |
$offlisting * * Equation counts * Total E G L N X C B * 270 2 2 266 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 113 71 0 42 0 0 0 0 * FX 0 * * Nonzero counts * Total const NL DLL * 1061 1047 14 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,objvar,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; 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; 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; e1.. objvar - 5*x44 - 5*x45 - x46 - x47 - 3*x48 - 3*x49 - x50 - x51 - 2*x52 - 2*x53 - x54 - x55 - 4*x56 - 4*x57 - 2*x58 - 2*x59 - x60 - x61 =E= 0; e2.. x62 - x63 =G= 0; e3.. x64 - x65 =G= 0; e4.. i1 - i2 =E= 0; e5.. - 8.54*i1 + 0.5*x66 + 0.5*x67 - x68 =L= 0; e6.. 13*i1 + 0.5*x69 + 0.5*x70 - x71 =L= 13; e7.. - 8.54*i3 + 0.5*x66 + 0.5*x72 - x73 =L= 0; e8.. 13*i3 + 0.5*x69 + 0.5*x74 - x75 =L= 13; e9.. - 8.54*i5 - x44 + 0.5*x66 + 0.5*x76 =L= 0; e10.. 13*i5 - x45 + 0.5*x69 + 0.5*x77 =L= 13; e11.. - 8.54*i7 + 0.5*x66 + 0.5*x78 - x79 =L= 0; e12.. 13*i7 + 0.5*x69 + 0.5*x80 - x81 =L= 13; e13.. - 8.54*i9 + 0.5*x66 + 0.5*x82 - x83 =L= 0; e14.. 13*i9 + 0.5*x69 + 0.5*x84 - x85 =L= 13; e15.. - 8.54*i11 - x46 + 0.5*x66 + 0.5*x86 =L= 0; e16.. 13*i11 - x47 + 0.5*x69 + 0.5*x87 =L= 13; e17.. - 8.54*i13 + 0.5*x67 + 0.5*x72 - x88 =L= 0; e18.. 13*i13 + 0.5*x70 + 0.5*x74 - x89 =L= 13; e19.. - 8.54*i15 - x48 + 0.5*x67 + 0.5*x76 =L= 0; e20.. 13*i15 - x49 + 0.5*x70 + 0.5*x77 =L= 13; e21.. - 8.54*i17 + 0.5*x67 + 0.5*x78 - x90 =L= 0; e22.. 13*i17 + 0.5*x70 + 0.5*x80 - x91 =L= 13; e23.. - 8.54*i19 + 0.5*x67 + 0.5*x82 - x92 =L= 0; e24.. 13*i19 + 0.5*x70 + 0.5*x84 - x93 =L= 13; e25.. - 8.54*i21 - x50 + 0.5*x67 + 0.5*x86 =L= 0; e26.. 13*i21 - x51 + 0.5*x70 + 0.5*x87 =L= 13; e27.. - 8.54*i23 - x52 + 0.5*x72 + 0.5*x76 =L= 0; e28.. 13*i23 - x53 + 0.5*x74 + 0.5*x77 =L= 13; e29.. - 8.54*i25 + 0.5*x72 + 0.5*x78 - x94 =L= 0; e30.. 13*i25 + 0.5*x74 + 0.5*x80 - x95 =L= 13; e31.. - 8.54*i27 + 0.5*x72 + 0.5*x82 - x96 =L= 0; e32.. 13*i27 + 0.5*x74 + 0.5*x84 - x97 =L= 13; e33.. - 8.54*i29 - x54 + 0.5*x72 + 0.5*x86 =L= 0; e34.. 13*i29 - x55 + 0.5*x74 + 0.5*x87 =L= 13; e35.. - 8.54*i31 - x56 + 0.5*x76 + 0.5*x78 =L= 0; e36.. 13*i31 - x57 + 0.5*x77 + 0.5*x80 =L= 13; e37.. - 8.54*i33 + 0.5*x76 + 0.5*x82 - x98 =L= 0; e38.. 13*i33 + 0.5*x77 + 0.5*x84 - x99 =L= 13; e39.. - 8.54*i35 + 0.5*x76 + 0.5*x86 - x100 =L= 0; e40.. 13*i35 + 0.5*x77 + 0.5*x87 - x101 =L= 13; e41.. - 8.54*i37 + 0.5*x78 + 0.5*x82 - x102 =L= 0; e42.. 13*i37 + 0.5*x80 + 0.5*x84 - x103 =L= 13; e43.. - 8.54*i39 - x58 + 0.5*x78 + 0.5*x86 =L= 0; e44.. 13*i39 - x59 + 0.5*x80 + 0.5*x87 =L= 13; e45.. - 8.54*i41 - x60 + 0.5*x82 + 0.5*x86 =L= 0; e46.. 13*i41 - x61 + 0.5*x84 + 0.5*x87 =L= 13; e47.. - 0.353557*x66 - 0.176775*x69 =L= -2; e48.. - 0.176775*x66 - 0.353556*x69 =L= -2; e49.. - 0.353557*x67 - 0.176775*x70 =L= -2; e50.. - 0.176775*x67 - 0.353556*x70 =L= -2; e51.. - 0.353557*x72 - 0.176775*x74 =L= -2; e52.. - 0.176775*x72 - 0.353556*x74 =L= -2; e53.. - 0.235705*x76 - 0.11785*x77 =L= -2; e54.. - 0.117851*x76 - 0.235703*x77 =L= -2; e55.. - 0.471409*x78 - 0.2357*x80 =L= -2; e56.. - 0.235705*x78 - 0.4714*x80 =L= -2; e57.. - 0.471409*x82 - 0.2357*x84 =L= -2; e58.. - 0.235705*x82 - 0.4714*x84 =L= -2; e59.. - 0.471409*x86 - 0.2357*x87 =L= -2; e60.. - 0.235705*x86 - 0.4714*x87 =L= -2; e61.. x62 + 0.5*x66 =L= 8.54; e62.. - x62 + 0.5*x66 =L= 0; e63.. x65 + 0.5*x69 =L= 13; e64.. - x65 + 0.5*x69 =L= 0; e65.. x63 + 0.5*x67 =L= 8.54; e66.. - x63 + 0.5*x67 =L= 0; e67.. x64 + 0.5*x70 =L= 13; e68.. - x64 + 0.5*x70 =L= 0; e69.. 0.5*x72 + x104 =L= 8.54; e70.. 0.5*x72 - x104 =L= 0; e71.. 0.5*x74 + x105 =L= 13; e72.. 0.5*x74 - x105 =L= 0; e73.. 0.5*x76 + x106 =L= 8.54; e74.. 0.5*x76 - x106 =L= 0; e75.. 0.5*x77 + x107 =L= 13; e76.. 0.5*x77 - x107 =L= 0; e77.. 0.5*x78 + x108 =L= 8.54; e78.. 0.5*x78 - x108 =L= 0; e79.. 0.5*x80 + x109 =L= 13; e80.. 0.5*x80 - x109 =L= 0; e81.. 0.5*x82 + x110 =L= 8.54; e82.. 0.5*x82 - x110 =L= 0; e83.. 0.5*x84 + x111 =L= 13; e84.. 0.5*x84 - x111 =L= 0; e85.. 0.5*x86 + x112 =L= 8.54; e86.. 0.5*x86 - x112 =L= 0; e87.. 0.5*x87 + x113 =L= 13; e88.. 0.5*x87 - x113 =L= 0; e89.. x62 - x63 - x68 =L= 0; e90.. - x62 + x63 - x68 =L= 0; e91.. - x64 + x65 - x71 =L= 0; e92.. x64 - x65 - x71 =L= 0; e93.. - 8.54*i1 - 8.54*i2 - x62 + x63 + 0.5*x66 + 0.5*x67 =L= 0; e94.. - 8.54*i1 + 8.54*i2 + x62 - x63 + 0.5*x66 + 0.5*x67 =L= 8.54; e95.. 13*i1 - 13*i2 + x64 - x65 + 0.5*x69 + 0.5*x70 =L= 13; e96.. 13*i1 + 13*i2 - x64 + x65 + 0.5*x69 + 0.5*x70 =L= 26; e97.. x62 - x73 - x104 =L= 0; e98.. - x62 - x73 + x104 =L= 0; e99.. x65 - x75 - x105 =L= 0; e100.. - x65 - x75 + x105 =L= 0; e101.. - 8.54*i3 - 8.54*i4 - x62 + 0.5*x66 + 0.5*x72 + x104 =L= 0; e102.. - 8.54*i3 + 8.54*i4 + x62 + 0.5*x66 + 0.5*x72 - x104 =L= 8.54; e103.. 13*i3 - 13*i4 - x65 + 0.5*x69 + 0.5*x74 + x105 =L= 13; e104.. 13*i3 + 13*i4 + x65 + 0.5*x69 + 0.5*x74 - x105 =L= 26; e105.. - x44 + x62 - x106 =L= 0; e106.. - x44 - x62 + x106 =L= 0; e107.. - x45 + x65 - x107 =L= 0; e108.. - x45 - x65 + x107 =L= 0; e109.. - 8.54*i5 - 8.54*i6 - x62 + 0.5*x66 + 0.5*x76 + x106 =L= 0; e110.. - 8.54*i5 + 8.54*i6 + x62 + 0.5*x66 + 0.5*x76 - x106 =L= 8.54; e111.. 13*i5 - 13*i6 - x65 + 0.5*x69 + 0.5*x77 + x107 =L= 13; e112.. 13*i5 + 13*i6 + x65 + 0.5*x69 + 0.5*x77 - x107 =L= 26; e113.. x62 - x79 - x108 =L= 0; e114.. - x62 - x79 + x108 =L= 0; e115.. x65 - x81 - x109 =L= 0; e116.. - x65 - x81 + x109 =L= 0; e117.. - 8.54*i7 - 8.54*i8 - x62 + 0.5*x66 + 0.5*x78 + x108 =L= 0; e118.. - 8.54*i7 + 8.54*i8 + x62 + 0.5*x66 + 0.5*x78 - x108 =L= 8.54; e119.. 13*i7 - 13*i8 - x65 + 0.5*x69 + 0.5*x80 + x109 =L= 13; e120.. 13*i7 + 13*i8 + x65 + 0.5*x69 + 0.5*x80 - x109 =L= 26; e121.. x62 - x83 - x110 =L= 0; e122.. - x62 - x83 + x110 =L= 0; e123.. x65 - x85 - x111 =L= 0; e124.. - x65 - x85 + x111 =L= 0; e125.. - 8.54*i9 - 8.54*i10 - x62 + 0.5*x66 + 0.5*x82 + x110 =L= 0; e126.. - 8.54*i9 + 8.54*i10 + x62 + 0.5*x66 + 0.5*x82 - x110 =L= 8.54; e127.. 13*i9 - 13*i10 - x65 + 0.5*x69 + 0.5*x84 + x111 =L= 13; e128.. 13*i9 + 13*i10 + x65 + 0.5*x69 + 0.5*x84 - x111 =L= 26; e129.. - x46 + x62 - x112 =L= 0; e130.. - x46 - x62 + x112 =L= 0; e131.. - x47 + x65 - x113 =L= 0; e132.. - x47 - x65 + x113 =L= 0; e133.. - 8.54*i11 - 8.54*i12 - x62 + 0.5*x66 + 0.5*x86 + x112 =L= 0; e134.. - 8.54*i11 + 8.54*i12 + x62 + 0.5*x66 + 0.5*x86 - x112 =L= 8.54; e135.. 13*i11 - 13*i12 - x65 + 0.5*x69 + 0.5*x87 + x113 =L= 13; e136.. 13*i11 + 13*i12 + x65 + 0.5*x69 + 0.5*x87 - x113 =L= 26; e137.. x63 - x88 - x104 =L= 0; e138.. - x63 - x88 + x104 =L= 0; e139.. x64 - x89 - x105 =L= 0; e140.. - x64 - x89 + x105 =L= 0; e141.. - 8.54*i13 - 8.54*i14 - x63 + 0.5*x67 + 0.5*x72 + x104 =L= 0; e142.. - 8.54*i13 + 8.54*i14 + x63 + 0.5*x67 + 0.5*x72 - x104 =L= 8.54; e143.. 13*i13 - 13*i14 - x64 + 0.5*x70 + 0.5*x74 + x105 =L= 13; e144.. 13*i13 + 13*i14 + x64 + 0.5*x70 + 0.5*x74 - x105 =L= 26; e145.. - x48 + x63 - x106 =L= 0; e146.. - x48 - x63 + x106 =L= 0; e147.. - x49 + x64 - x107 =L= 0; e148.. - x49 - x64 + x107 =L= 0; e149.. - 8.54*i15 - 8.54*i16 - x63 + 0.5*x67 + 0.5*x76 + x106 =L= 0; e150.. - 8.54*i15 + 8.54*i16 + x63 + 0.5*x67 + 0.5*x76 - x106 =L= 8.54; e151.. 13*i15 - 13*i16 - x64 + 0.5*x70 + 0.5*x77 + x107 =L= 13; e152.. 13*i15 + 13*i16 + x64 + 0.5*x70 + 0.5*x77 - x107 =L= 26; e153.. x63 - x90 - x108 =L= 0; e154.. - x63 - x90 + x108 =L= 0; e155.. x64 - x91 - x109 =L= 0; e156.. - x64 - x91 + x109 =L= 0; e157.. - 8.54*i17 - 8.54*i18 - x63 + 0.5*x67 + 0.5*x78 + x108 =L= 0; e158.. - 8.54*i17 + 8.54*i18 + x63 + 0.5*x67 + 0.5*x78 - x108 =L= 8.54; e159.. 13*i17 - 13*i18 - x64 + 0.5*x70 + 0.5*x80 + x109 =L= 13; e160.. 13*i17 + 13*i18 + x64 + 0.5*x70 + 0.5*x80 - x109 =L= 26; e161.. x63 - x92 - x110 =L= 0; e162.. - x63 - x92 + x110 =L= 0; e163.. x64 - x93 - x111 =L= 0; e164.. - x64 - x93 + x111 =L= 0; e165.. - 8.54*i19 - 8.54*i20 - x63 + 0.5*x67 + 0.5*x82 + x110 =L= 0; e166.. - 8.54*i19 + 8.54*i20 + x63 + 0.5*x67 + 0.5*x82 - x110 =L= 8.54; e167.. 13*i19 - 13*i20 - x64 + 0.5*x70 + 0.5*x84 + x111 =L= 13; e168.. 13*i19 + 13*i20 + x64 + 0.5*x70 + 0.5*x84 - x111 =L= 26; e169.. - x50 + x63 - x112 =L= 0; e170.. - x50 - x63 + x112 =L= 0; e171.. - x51 + x64 - x113 =L= 0; e172.. - x51 - x64 + x113 =L= 0; e173.. - 8.54*i21 - 8.54*i22 - x63 + 0.5*x67 + 0.5*x86 + x112 =L= 0; e174.. - 8.54*i21 + 8.54*i22 + x63 + 0.5*x67 + 0.5*x86 - x112 =L= 8.54; e175.. 13*i21 - 13*i22 - x64 + 0.5*x70 + 0.5*x87 + x113 =L= 13; e176.. 13*i21 + 13*i22 + x64 + 0.5*x70 + 0.5*x87 - x113 =L= 26; e177.. - x52 + x104 - x106 =L= 0; e178.. - x52 - x104 + x106 =L= 0; e179.. - x53 + x105 - x107 =L= 0; e180.. - x53 - x105 + x107 =L= 0; e181.. - 8.54*i23 - 8.54*i24 + 0.5*x72 + 0.5*x76 - x104 + x106 =L= 0; e182.. - 8.54*i23 + 8.54*i24 + 0.5*x72 + 0.5*x76 + x104 - x106 =L= 8.54; e183.. 13*i23 - 13*i24 + 0.5*x74 + 0.5*x77 - x105 + x107 =L= 13; e184.. 13*i23 + 13*i24 + 0.5*x74 + 0.5*x77 + x105 - x107 =L= 26; e185.. - x94 + x104 - x108 =L= 0; e186.. - x94 - x104 + x108 =L= 0; e187.. - x95 + x105 - x109 =L= 0; e188.. - x95 - x105 + x109 =L= 0; e189.. - 8.54*i25 - 8.54*i26 + 0.5*x72 + 0.5*x78 - x104 + x108 =L= 0; e190.. - 8.54*i25 + 8.54*i26 + 0.5*x72 + 0.5*x78 + x104 - x108 =L= 8.54; e191.. 13*i25 - 13*i26 + 0.5*x74 + 0.5*x80 - x105 + x109 =L= 13; e192.. 13*i25 + 13*i26 + 0.5*x74 + 0.5*x80 + x105 - x109 =L= 26; e193.. - x96 + x104 - x110 =L= 0; e194.. - x96 - x104 + x110 =L= 0; e195.. - x97 + x105 - x111 =L= 0; e196.. - x97 - x105 + x111 =L= 0; e197.. - 8.54*i27 - 8.54*i28 + 0.5*x72 + 0.5*x82 - x104 + x110 =L= 0; e198.. - 8.54*i27 + 8.54*i28 + 0.5*x72 + 0.5*x82 + x104 - x110 =L= 8.54; e199.. 13*i27 - 13*i28 + 0.5*x74 + 0.5*x84 - x105 + x111 =L= 13; e200.. 13*i27 + 13*i28 + 0.5*x74 + 0.5*x84 + x105 - x111 =L= 26; e201.. - x54 + x104 - x112 =L= 0; e202.. - x54 - x104 + x112 =L= 0; e203.. - x55 + x105 - x113 =L= 0; e204.. - x55 - x105 + x113 =L= 0; e205.. - 8.54*i29 - 8.54*i30 + 0.5*x72 + 0.5*x86 - x104 + x112 =L= 0; e206.. - 8.54*i29 + 8.54*i30 + 0.5*x72 + 0.5*x86 + x104 - x112 =L= 8.54; e207.. 13*i29 - 13*i30 + 0.5*x74 + 0.5*x87 - x105 + x113 =L= 13; e208.. 13*i29 + 13*i30 + 0.5*x74 + 0.5*x87 + x105 - x113 =L= 26; e209.. - x56 + x106 - x108 =L= 0; e210.. - x56 - x106 + x108 =L= 0; e211.. - x57 + x107 - x109 =L= 0; e212.. - x57 - x107 + x109 =L= 0; e213.. - 8.54*i31 - 8.54*i32 + 0.5*x76 + 0.5*x78 - x106 + x108 =L= 0; e214.. - 8.54*i31 + 8.54*i32 + 0.5*x76 + 0.5*x78 + x106 - x108 =L= 8.54; e215.. 13*i31 - 13*i32 + 0.5*x77 + 0.5*x80 - x107 + x109 =L= 13; e216.. 13*i31 + 13*i32 + 0.5*x77 + 0.5*x80 + x107 - x109 =L= 26; e217.. - x98 + x106 - x110 =L= 0; e218.. - x98 - x106 + x110 =L= 0; e219.. - x99 + x107 - x111 =L= 0; e220.. - x99 - x107 + x111 =L= 0; e221.. - 8.54*i33 - 8.54*i34 + 0.5*x76 + 0.5*x82 - x106 + x110 =L= 0; e222.. - 8.54*i33 + 8.54*i34 + 0.5*x76 + 0.5*x82 + x106 - x110 =L= 8.54; e223.. 13*i33 - 13*i34 + 0.5*x77 + 0.5*x84 - x107 + x111 =L= 13; e224.. 13*i33 + 13*i34 + 0.5*x77 + 0.5*x84 + x107 - x111 =L= 26; e225.. - x100 + x106 - x112 =L= 0; e226.. - x100 - x106 + x112 =L= 0; e227.. - x101 + x107 - x113 =L= 0; e228.. - x101 - x107 + x113 =L= 0; e229.. - 8.54*i35 - 8.54*i36 + 0.5*x76 + 0.5*x86 - x106 + x112 =L= 0; e230.. - 8.54*i35 + 8.54*i36 + 0.5*x76 + 0.5*x86 + x106 - x112 =L= 8.54; e231.. 13*i35 - 13*i36 + 0.5*x77 + 0.5*x87 - x107 + x113 =L= 13; e232.. 13*i35 + 13*i36 + 0.5*x77 + 0.5*x87 + x107 - x113 =L= 26; e233.. - x102 + x108 - x110 =L= 0; e234.. - x102 - x108 + x110 =L= 0; e235.. - x103 + x109 - x111 =L= 0; e236.. - x103 - x109 + x111 =L= 0; e237.. - 8.54*i37 - 8.54*i38 + 0.5*x78 + 0.5*x82 - x108 + x110 =L= 0; e238.. - 8.54*i37 + 8.54*i38 + 0.5*x78 + 0.5*x82 + x108 - x110 =L= 8.54; e239.. 13*i37 - 13*i38 + 0.5*x80 + 0.5*x84 - x109 + x111 =L= 13; e240.. 13*i37 + 13*i38 + 0.5*x80 + 0.5*x84 + x109 - x111 =L= 26; e241.. - x58 + x108 - x112 =L= 0; e242.. - x58 - x108 + x112 =L= 0; e243.. - x59 + x109 - x113 =L= 0; e244.. - x59 - x109 + x113 =L= 0; e245.. - 8.54*i39 - 8.54*i40 + 0.5*x78 + 0.5*x86 - x108 + x112 =L= 0; e246.. - 8.54*i39 + 8.54*i40 + 0.5*x78 + 0.5*x86 + x108 - x112 =L= 8.54; e247.. 13*i39 - 13*i40 + 0.5*x80 + 0.5*x87 - x109 + x113 =L= 13; e248.. 13*i39 + 13*i40 + 0.5*x80 + 0.5*x87 + x109 - x113 =L= 26; e249.. - x60 + x110 - x112 =L= 0; e250.. - x60 - x110 + x112 =L= 0; e251.. - x61 + x111 - x113 =L= 0; e252.. - x61 - x111 + x113 =L= 0; e253.. - 8.54*i41 - 8.54*i42 + 0.5*x82 + 0.5*x86 - x110 + x112 =L= 0; e254.. - 8.54*i41 + 8.54*i42 + 0.5*x82 + 0.5*x86 + x110 - x112 =L= 8.54; e255.. 13*i41 - 13*i42 + 0.5*x84 + 0.5*x87 - x111 + x113 =L= 13; e256.. 13*i41 + 13*i42 + 0.5*x84 + 0.5*x87 + x111 - x113 =L= 26; e257.. 16/x66 - x69 =L= 0; e258.. 16/x69 - x66 =L= 0; e259.. 16/x67 - x70 =L= 0; e260.. 16/x70 - x67 =L= 0; e261.. 16/x72 - x74 =L= 0; e262.. 16/x74 - x72 =L= 0; e263.. 36/x76 - x77 =L= 0; e264.. 36/x77 - x76 =L= 0; e265.. 9/x78 - x80 =L= 0; e266.. 9/x80 - x78 =L= 0; e267.. 9/x82 - x84 =L= 0; e268.. 9/x84 - x82 =L= 0; e269.. 9/x86 - x87 =L= 0; e270.. 9/x87 - x86 =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; x66.lo = 2.8284; x66.up = 5.6569; x67.lo = 2.8284; x67.up = 5.6569; x69.lo = 2.8284; x69.up = 5.6569; x70.lo = 2.8284; x70.up = 5.6569; x72.lo = 2.8284; x72.up = 5.6569; x74.lo = 2.8284; x74.up = 5.6569; x76.lo = 4.2426; x76.up = 8.4853; x77.lo = 4.2426; x77.up = 8.4853; x78.lo = 2.1213; x78.up = 4.2426; x80.lo = 2.1213; x80.up = 4.2426; x82.lo = 2.1213; x82.up = 4.2426; x84.lo = 2.1213; x84.up = 4.2426; x86.lo = 2.1213; x86.up = 4.2426; x87.lo = 2.1213; x87.up = 4.2426; 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