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Instance o8_ar4_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ⓘ | 237.76218720 (ALPHAECP) 220.73818950 (ANTIGONE) 243.07074830 (BARON) 193.38680340 (BONMIN) 101.55597120 (COUENNE) 146.35111750 (LINDO) 243.07066120 (SCIP) 243.07074180 (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ⓘ | 30 |
| #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ⓘ | 8.3333e-02 |
| Maximal coefficientⓘ | 3.6000e+01 |
| Infeasibility of initial pointⓘ | 8.817 |
| 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
* 1397 1381 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 - 5*x58 - 5*x59 - 5*x60 - 5*x61 - x62 - x63 - 3*x64 - 3*x65
- 3*x66 - 3*x67 - x68 - x69 - 2*x70 - 2*x71 - 2*x72 - 2*x73 - x74 - x75
- 4*x76 - 4*x77 - 4*x78 - 4*x79 - 3*x80 - 3*x81 - 4*x82 - 4*x83 - 2*x84
- 2*x85 - x86 - x87 =E= 0;
e2.. x88 - x89 =G= 0;
e3.. x90 - x91 =G= 0;
e4.. i1 - i2 =E= 0;
e5.. - 11.31*i1 + 0.5*x92 + 0.5*x93 - x94 =L= 0;
e6.. 13*i1 + 0.5*x95 + 0.5*x96 - x97 =L= 13;
e7.. - 11.31*i3 + 0.5*x92 + 0.5*x98 - x99 =L= 0;
e8.. 13*i3 + 0.5*x95 + 0.5*x100 - x101 =L= 13;
e9.. - 11.31*i5 - x58 + 0.5*x92 + 0.5*x102 =L= 0;
e10.. 13*i5 - x59 + 0.5*x95 + 0.5*x103 =L= 13;
e11.. - 11.31*i7 - x60 + 0.5*x92 + 0.5*x104 =L= 0;
e12.. 13*i7 - x61 + 0.5*x95 + 0.5*x105 =L= 13;
e13.. - 11.31*i9 + 0.5*x92 + 0.5*x106 - x107 =L= 0;
e14.. 13*i9 + 0.5*x95 + 0.5*x108 - x109 =L= 13;
e15.. - 11.31*i11 + 0.5*x92 + 0.5*x110 - x111 =L= 0;
e16.. 13*i11 + 0.5*x95 + 0.5*x112 - x113 =L= 13;
e17.. - 11.31*i13 - x62 + 0.5*x92 + 0.5*x114 =L= 0;
e18.. 13*i13 - x63 + 0.5*x95 + 0.5*x115 =L= 13;
e19.. - 11.31*i15 + 0.5*x93 + 0.5*x98 - x116 =L= 0;
e20.. 13*i15 + 0.5*x96 + 0.5*x100 - x117 =L= 13;
e21.. - 11.31*i17 - x64 + 0.5*x93 + 0.5*x102 =L= 0;
e22.. 13*i17 - x65 + 0.5*x96 + 0.5*x103 =L= 13;
e23.. - 11.31*i19 - x66 + 0.5*x93 + 0.5*x104 =L= 0;
e24.. 13*i19 - x67 + 0.5*x96 + 0.5*x105 =L= 13;
e25.. - 11.31*i21 + 0.5*x93 + 0.5*x106 - x118 =L= 0;
e26.. 13*i21 + 0.5*x96 + 0.5*x108 - x119 =L= 13;
e27.. - 11.31*i23 + 0.5*x93 + 0.5*x110 - x120 =L= 0;
e28.. 13*i23 + 0.5*x96 + 0.5*x112 - x121 =L= 13;
e29.. - 11.31*i25 - x68 + 0.5*x93 + 0.5*x114 =L= 0;
e30.. 13*i25 - x69 + 0.5*x96 + 0.5*x115 =L= 13;
e31.. - 11.31*i27 - x70 + 0.5*x98 + 0.5*x102 =L= 0;
e32.. 13*i27 - x71 + 0.5*x100 + 0.5*x103 =L= 13;
e33.. - 11.31*i29 - x72 + 0.5*x98 + 0.5*x104 =L= 0;
e34.. 13*i29 - x73 + 0.5*x100 + 0.5*x105 =L= 13;
e35.. - 11.31*i31 + 0.5*x98 + 0.5*x106 - x122 =L= 0;
e36.. 13*i31 + 0.5*x100 + 0.5*x108 - x123 =L= 13;
e37.. - 11.31*i33 + 0.5*x98 + 0.5*x110 - x124 =L= 0;
e38.. 13*i33 + 0.5*x100 + 0.5*x112 - x125 =L= 13;
e39.. - 11.31*i35 - x74 + 0.5*x98 + 0.5*x114 =L= 0;
e40.. 13*i35 - x75 + 0.5*x100 + 0.5*x115 =L= 13;
e41.. - 11.31*i37 + 0.5*x102 + 0.5*x104 - x126 =L= 0;
e42.. 13*i37 + 0.5*x103 + 0.5*x105 - x127 =L= 13;
e43.. - 11.31*i39 - x76 + 0.5*x102 + 0.5*x106 =L= 0;
e44.. 13*i39 - x77 + 0.5*x103 + 0.5*x108 =L= 13;
e45.. - 11.31*i41 - x78 + 0.5*x102 + 0.5*x110 =L= 0;
e46.. 13*i41 - x79 + 0.5*x103 + 0.5*x112 =L= 13;
e47.. - 11.31*i43 + 0.5*x102 + 0.5*x114 - x128 =L= 0;
e48.. 13*i43 + 0.5*x103 + 0.5*x115 - x129 =L= 13;
e49.. - 11.31*i45 - x80 + 0.5*x104 + 0.5*x106 =L= 0;
e50.. 13*i45 - x81 + 0.5*x105 + 0.5*x108 =L= 13;
e51.. - 11.31*i47 + 0.5*x104 + 0.5*x110 - x130 =L= 0;
e52.. 13*i47 + 0.5*x105 + 0.5*x112 - x131 =L= 13;
e53.. - 11.31*i49 - x82 + 0.5*x104 + 0.5*x114 =L= 0;
e54.. 13*i49 - x83 + 0.5*x105 + 0.5*x115 =L= 13;
e55.. - 11.31*i51 + 0.5*x106 + 0.5*x110 - x132 =L= 0;
e56.. 13*i51 + 0.5*x108 + 0.5*x112 - x133 =L= 13;
e57.. - 11.31*i53 - x84 + 0.5*x106 + 0.5*x114 =L= 0;
e58.. 13*i53 - x85 + 0.5*x108 + 0.5*x115 =L= 13;
e59.. - 11.31*i55 - x86 + 0.5*x110 + 0.5*x114 =L= 0;
e60.. 13*i55 - x87 + 0.5*x112 + 0.5*x115 =L= 13;
e61.. - 0.5*x92 - 0.125*x95 =L= -2;
e62.. - 0.125*x92 - 0.5*x95 =L= -2;
e63.. - 0.5*x93 - 0.125*x96 =L= -2;
e64.. - 0.125*x93 - 0.5*x96 =L= -2;
e65.. - 0.5*x98 - 0.125*x100 =L= -2;
e66.. - 0.125*x98 - 0.5*x100 =L= -2;
e67.. - 0.333333*x102 - 0.083333*x103 =L= -2;
e68.. - 0.088417*x102 - 0.314167*x103 =L= -2;
e69.. - 0.333333*x104 - 0.083333*x105 =L= -2;
e70.. - 0.088417*x104 - 0.314167*x105 =L= -2;
e71.. - 0.666667*x106 - 0.166667*x108 =L= -2;
e72.. - 0.166667*x106 - 0.666667*x108 =L= -2;
e73.. - 0.666667*x110 - 0.166667*x112 =L= -2;
e74.. - 0.166667*x110 - 0.666667*x112 =L= -2;
e75.. - 0.666667*x114 - 0.166667*x115 =L= -2;
e76.. - 0.166667*x114 - 0.666667*x115 =L= -2;
e77.. x88 + 0.5*x92 =L= 11.31;
e78.. - x88 + 0.5*x92 =L= 0;
e79.. x91 + 0.5*x95 =L= 13;
e80.. - x91 + 0.5*x95 =L= 0;
e81.. x89 + 0.5*x93 =L= 11.31;
e82.. - x89 + 0.5*x93 =L= 0;
e83.. x90 + 0.5*x96 =L= 13;
e84.. - x90 + 0.5*x96 =L= 0;
e85.. 0.5*x98 + x134 =L= 11.31;
e86.. 0.5*x98 - x134 =L= 0;
e87.. 0.5*x100 + x135 =L= 13;
e88.. 0.5*x100 - x135 =L= 0;
e89.. 0.5*x102 + x136 =L= 11.31;
e90.. 0.5*x102 - x136 =L= 0;
e91.. 0.5*x103 + x137 =L= 13;
e92.. 0.5*x103 - x137 =L= 0;
e93.. 0.5*x104 + x138 =L= 11.31;
e94.. 0.5*x104 - x138 =L= 0;
e95.. 0.5*x105 + x139 =L= 13;
e96.. 0.5*x105 - x139 =L= 0;
e97.. 0.5*x106 + x140 =L= 11.31;
e98.. 0.5*x106 - x140 =L= 0;
e99.. 0.5*x108 + x141 =L= 13;
e100.. 0.5*x108 - x141 =L= 0;
e101.. 0.5*x110 + x142 =L= 11.31;
e102.. 0.5*x110 - x142 =L= 0;
e103.. 0.5*x112 + x143 =L= 13;
e104.. 0.5*x112 - x143 =L= 0;
e105.. 0.5*x114 + x144 =L= 11.31;
e106.. 0.5*x114 - x144 =L= 0;
e107.. 0.5*x115 + x145 =L= 13;
e108.. 0.5*x115 - x145 =L= 0;
e109.. x88 - x89 - x94 =L= 0;
e110.. - x88 + x89 - x94 =L= 0;
e111.. - x90 + x91 - x97 =L= 0;
e112.. x90 - x91 - x97 =L= 0;
e113.. - 11.31*i1 - 11.31*i2 - x88 + x89 + 0.5*x92 + 0.5*x93 =L= 0;
e114.. - 11.31*i1 + 11.31*i2 + x88 - x89 + 0.5*x92 + 0.5*x93 =L= 11.31;
e115.. 13*i1 - 13*i2 + x90 - x91 + 0.5*x95 + 0.5*x96 =L= 13;
e116.. 13*i1 + 13*i2 - x90 + x91 + 0.5*x95 + 0.5*x96 =L= 26;
e117.. x88 - x99 - x134 =L= 0;
e118.. - x88 - x99 + x134 =L= 0;
e119.. x91 - x101 - x135 =L= 0;
e120.. - x91 - x101 + x135 =L= 0;
e121.. - 11.31*i3 - 11.31*i4 - x88 + 0.5*x92 + 0.5*x98 + x134 =L= 0;
e122.. - 11.31*i3 + 11.31*i4 + x88 + 0.5*x92 + 0.5*x98 - x134 =L= 11.31;
e123.. 13*i3 - 13*i4 - x91 + 0.5*x95 + 0.5*x100 + x135 =L= 13;
e124.. 13*i3 + 13*i4 + x91 + 0.5*x95 + 0.5*x100 - x135 =L= 26;
e125.. - x58 + x88 - x136 =L= 0;
e126.. - x58 - x88 + x136 =L= 0;
e127.. - x59 + x91 - x137 =L= 0;
e128.. - x59 - x91 + x137 =L= 0;
e129.. - 11.31*i5 - 11.31*i6 - x88 + 0.5*x92 + 0.5*x102 + x136 =L= 0;
e130.. - 11.31*i5 + 11.31*i6 + x88 + 0.5*x92 + 0.5*x102 - x136 =L= 11.31;
e131.. 13*i5 - 13*i6 - x91 + 0.5*x95 + 0.5*x103 + x137 =L= 13;
e132.. 13*i5 + 13*i6 + x91 + 0.5*x95 + 0.5*x103 - x137 =L= 26;
e133.. - x60 + x88 - x138 =L= 0;
e134.. - x60 - x88 + x138 =L= 0;
e135.. - x61 + x91 - x139 =L= 0;
e136.. - x61 - x91 + x139 =L= 0;
e137.. - 11.31*i7 - 11.31*i8 - x88 + 0.5*x92 + 0.5*x104 + x138 =L= 0;
e138.. - 11.31*i7 + 11.31*i8 + x88 + 0.5*x92 + 0.5*x104 - x138 =L= 11.31;
e139.. 13*i7 - 13*i8 - x91 + 0.5*x95 + 0.5*x105 + x139 =L= 13;
e140.. 13*i7 + 13*i8 + x91 + 0.5*x95 + 0.5*x105 - x139 =L= 26;
e141.. x88 - x107 - x140 =L= 0;
e142.. - x88 - x107 + x140 =L= 0;
e143.. x91 - x109 - x141 =L= 0;
e144.. - x91 - x109 + x141 =L= 0;
e145.. - 11.31*i9 - 11.31*i10 - x88 + 0.5*x92 + 0.5*x106 + x140 =L= 0;
e146.. - 11.31*i9 + 11.31*i10 + x88 + 0.5*x92 + 0.5*x106 - x140 =L= 11.31;
e147.. 13*i9 - 13*i10 - x91 + 0.5*x95 + 0.5*x108 + x141 =L= 13;
e148.. 13*i9 + 13*i10 + x91 + 0.5*x95 + 0.5*x108 - x141 =L= 26;
e149.. x88 - x111 - x142 =L= 0;
e150.. - x88 - x111 + x142 =L= 0;
e151.. x91 - x113 - x143 =L= 0;
e152.. - x91 - x113 + x143 =L= 0;
e153.. - 11.31*i11 - 11.31*i12 - x88 + 0.5*x92 + 0.5*x110 + x142 =L= 0;
e154.. - 11.31*i11 + 11.31*i12 + x88 + 0.5*x92 + 0.5*x110 - x142 =L= 11.31;
e155.. 13*i11 - 13*i12 - x91 + 0.5*x95 + 0.5*x112 + x143 =L= 13;
e156.. 13*i11 + 13*i12 + x91 + 0.5*x95 + 0.5*x112 - x143 =L= 26;
e157.. - x62 + x88 - x144 =L= 0;
e158.. - x62 - x88 + x144 =L= 0;
e159.. - x63 + x91 - x145 =L= 0;
e160.. - x63 - x91 + x145 =L= 0;
e161.. - 11.31*i13 - 11.31*i14 - x88 + 0.5*x92 + 0.5*x114 + x144 =L= 0;
e162.. - 11.31*i13 + 11.31*i14 + x88 + 0.5*x92 + 0.5*x114 - x144 =L= 11.31;
e163.. 13*i13 - 13*i14 - x91 + 0.5*x95 + 0.5*x115 + x145 =L= 13;
e164.. 13*i13 + 13*i14 + x91 + 0.5*x95 + 0.5*x115 - x145 =L= 26;
e165.. x89 - x116 - x134 =L= 0;
e166.. - x89 - x116 + x134 =L= 0;
e167.. x90 - x117 - x135 =L= 0;
e168.. - x90 - x117 + x135 =L= 0;
e169.. - 11.31*i15 - 11.31*i16 - x89 + 0.5*x93 + 0.5*x98 + x134 =L= 0;
e170.. - 11.31*i15 + 11.31*i16 + x89 + 0.5*x93 + 0.5*x98 - x134 =L= 11.31;
e171.. 13*i15 - 13*i16 - x90 + 0.5*x96 + 0.5*x100 + x135 =L= 13;
e172.. 13*i15 + 13*i16 + x90 + 0.5*x96 + 0.5*x100 - x135 =L= 26;
e173.. - x64 + x89 - x136 =L= 0;
e174.. - x64 - x89 + x136 =L= 0;
e175.. - x65 + x90 - x137 =L= 0;
e176.. - x65 - x90 + x137 =L= 0;
e177.. - 11.31*i17 - 11.31*i18 - x89 + 0.5*x93 + 0.5*x102 + x136 =L= 0;
e178.. - 11.31*i17 + 11.31*i18 + x89 + 0.5*x93 + 0.5*x102 - x136 =L= 11.31;
e179.. 13*i17 - 13*i18 - x90 + 0.5*x96 + 0.5*x103 + x137 =L= 13;
e180.. 13*i17 + 13*i18 + x90 + 0.5*x96 + 0.5*x103 - x137 =L= 26;
e181.. - x66 + x89 - x138 =L= 0;
e182.. - x66 - x89 + x138 =L= 0;
e183.. - x67 + x90 - x139 =L= 0;
e184.. - x67 - x90 + x139 =L= 0;
e185.. - 11.31*i19 - 11.31*i20 - x89 + 0.5*x93 + 0.5*x104 + x138 =L= 0;
e186.. - 11.31*i19 + 11.31*i20 + x89 + 0.5*x93 + 0.5*x104 - x138 =L= 11.31;
e187.. 13*i19 - 13*i20 - x90 + 0.5*x96 + 0.5*x105 + x139 =L= 13;
e188.. 13*i19 + 13*i20 + x90 + 0.5*x96 + 0.5*x105 - x139 =L= 26;
e189.. x89 - x118 - x140 =L= 0;
e190.. - x89 - x118 + x140 =L= 0;
e191.. x90 - x119 - x141 =L= 0;
e192.. - x90 - x119 + x141 =L= 0;
e193.. - 11.31*i21 - 11.31*i22 - x89 + 0.5*x93 + 0.5*x106 + x140 =L= 0;
e194.. - 11.31*i21 + 11.31*i22 + x89 + 0.5*x93 + 0.5*x106 - x140 =L= 11.31;
e195.. 13*i21 - 13*i22 - x90 + 0.5*x96 + 0.5*x108 + x141 =L= 13;
e196.. 13*i21 + 13*i22 + x90 + 0.5*x96 + 0.5*x108 - x141 =L= 26;
e197.. x89 - x120 - x142 =L= 0;
e198.. - x89 - x120 + x142 =L= 0;
e199.. x90 - x121 - x143 =L= 0;
e200.. - x90 - x121 + x143 =L= 0;
e201.. - 11.31*i23 - 11.31*i24 - x89 + 0.5*x93 + 0.5*x110 + x142 =L= 0;
e202.. - 11.31*i23 + 11.31*i24 + x89 + 0.5*x93 + 0.5*x110 - x142 =L= 11.31;
e203.. 13*i23 - 13*i24 - x90 + 0.5*x96 + 0.5*x112 + x143 =L= 13;
e204.. 13*i23 + 13*i24 + x90 + 0.5*x96 + 0.5*x112 - x143 =L= 26;
e205.. - x68 + x89 - x144 =L= 0;
e206.. - x68 - x89 + x144 =L= 0;
e207.. - x69 + x90 - x145 =L= 0;
e208.. - x69 - x90 + x145 =L= 0;
e209.. - 11.31*i25 - 11.31*i26 - x89 + 0.5*x93 + 0.5*x114 + x144 =L= 0;
e210.. - 11.31*i25 + 11.31*i26 + x89 + 0.5*x93 + 0.5*x114 - x144 =L= 11.31;
e211.. 13*i25 - 13*i26 - x90 + 0.5*x96 + 0.5*x115 + x145 =L= 13;
e212.. 13*i25 + 13*i26 + x90 + 0.5*x96 + 0.5*x115 - x145 =L= 26;
e213.. - x70 + x134 - x136 =L= 0;
e214.. - x70 - x134 + x136 =L= 0;
e215.. - x71 + x135 - x137 =L= 0;
e216.. - x71 - x135 + x137 =L= 0;
e217.. - 11.31*i27 - 11.31*i28 + 0.5*x98 + 0.5*x102 - x134 + x136 =L= 0;
e218.. - 11.31*i27 + 11.31*i28 + 0.5*x98 + 0.5*x102 + x134 - x136 =L= 11.31;
e219.. 13*i27 - 13*i28 + 0.5*x100 + 0.5*x103 - x135 + x137 =L= 13;
e220.. 13*i27 + 13*i28 + 0.5*x100 + 0.5*x103 + x135 - x137 =L= 26;
e221.. - x72 + x134 - x138 =L= 0;
e222.. - x72 - x134 + x138 =L= 0;
e223.. - x73 + x135 - x139 =L= 0;
e224.. - x73 - x135 + x139 =L= 0;
e225.. - 11.31*i29 - 11.31*i30 + 0.5*x98 + 0.5*x104 - x134 + x138 =L= 0;
e226.. - 11.31*i29 + 11.31*i30 + 0.5*x98 + 0.5*x104 + x134 - x138 =L= 11.31;
e227.. 13*i29 - 13*i30 + 0.5*x100 + 0.5*x105 - x135 + x139 =L= 13;
e228.. 13*i29 + 13*i30 + 0.5*x100 + 0.5*x105 + x135 - x139 =L= 26;
e229.. - x122 + x134 - x140 =L= 0;
e230.. - x122 - x134 + x140 =L= 0;
e231.. - x123 + x135 - x141 =L= 0;
e232.. - x123 - x135 + x141 =L= 0;
e233.. - 11.31*i31 - 11.31*i32 + 0.5*x98 + 0.5*x106 - x134 + x140 =L= 0;
e234.. - 11.31*i31 + 11.31*i32 + 0.5*x98 + 0.5*x106 + x134 - x140 =L= 11.31;
e235.. 13*i31 - 13*i32 + 0.5*x100 + 0.5*x108 - x135 + x141 =L= 13;
e236.. 13*i31 + 13*i32 + 0.5*x100 + 0.5*x108 + x135 - x141 =L= 26;
e237.. - x124 + x134 - x142 =L= 0;
e238.. - x124 - x134 + x142 =L= 0;
e239.. - x125 + x135 - x143 =L= 0;
e240.. - x125 - x135 + x143 =L= 0;
e241.. - 11.31*i33 - 11.31*i34 + 0.5*x98 + 0.5*x110 - x134 + x142 =L= 0;
e242.. - 11.31*i33 + 11.31*i34 + 0.5*x98 + 0.5*x110 + x134 - x142 =L= 11.31;
e243.. 13*i33 - 13*i34 + 0.5*x100 + 0.5*x112 - x135 + x143 =L= 13;
e244.. 13*i33 + 13*i34 + 0.5*x100 + 0.5*x112 + x135 - x143 =L= 26;
e245.. - x74 + x134 - x144 =L= 0;
e246.. - x74 - x134 + x144 =L= 0;
e247.. - x75 + x135 - x145 =L= 0;
e248.. - x75 - x135 + x145 =L= 0;
e249.. - 11.31*i35 - 11.31*i36 + 0.5*x98 + 0.5*x114 - x134 + x144 =L= 0;
e250.. - 11.31*i35 + 11.31*i36 + 0.5*x98 + 0.5*x114 + x134 - x144 =L= 11.31;
e251.. 13*i35 - 13*i36 + 0.5*x100 + 0.5*x115 - x135 + x145 =L= 13;
e252.. 13*i35 + 13*i36 + 0.5*x100 + 0.5*x115 + x135 - x145 =L= 26;
e253.. - x126 + x136 - x138 =L= 0;
e254.. - x126 - x136 + x138 =L= 0;
e255.. - x127 + x137 - x139 =L= 0;
e256.. - x127 - x137 + x139 =L= 0;
e257.. - 11.31*i37 - 11.31*i38 + 0.5*x102 + 0.5*x104 - x136 + x138 =L= 0;
e258.. - 11.31*i37 + 11.31*i38 + 0.5*x102 + 0.5*x104 + x136 - x138 =L= 11.31;
e259.. 13*i37 - 13*i38 + 0.5*x103 + 0.5*x105 - x137 + x139 =L= 13;
e260.. 13*i37 + 13*i38 + 0.5*x103 + 0.5*x105 + x137 - x139 =L= 26;
e261.. - x76 + x136 - x140 =L= 0;
e262.. - x76 - x136 + x140 =L= 0;
e263.. - x77 + x137 - x141 =L= 0;
e264.. - x77 - x137 + x141 =L= 0;
e265.. - 11.31*i39 - 11.31*i40 + 0.5*x102 + 0.5*x106 - x136 + x140 =L= 0;
e266.. - 11.31*i39 + 11.31*i40 + 0.5*x102 + 0.5*x106 + x136 - x140 =L= 11.31;
e267.. 13*i39 - 13*i40 + 0.5*x103 + 0.5*x108 - x137 + x141 =L= 13;
e268.. 13*i39 + 13*i40 + 0.5*x103 + 0.5*x108 + x137 - x141 =L= 26;
e269.. - x78 + x136 - x142 =L= 0;
e270.. - x78 - x136 + x142 =L= 0;
e271.. - x79 + x137 - x143 =L= 0;
e272.. - x79 - x137 + x143 =L= 0;
e273.. - 11.31*i41 - 11.31*i42 + 0.5*x102 + 0.5*x110 - x136 + x142 =L= 0;
e274.. - 11.31*i41 + 11.31*i42 + 0.5*x102 + 0.5*x110 + x136 - x142 =L= 11.31;
e275.. 13*i41 - 13*i42 + 0.5*x103 + 0.5*x112 - x137 + x143 =L= 13;
e276.. 13*i41 + 13*i42 + 0.5*x103 + 0.5*x112 + x137 - x143 =L= 26;
e277.. - x128 + x136 - x144 =L= 0;
e278.. - x128 - x136 + x144 =L= 0;
e279.. - x129 + x137 - x145 =L= 0;
e280.. - x129 - x137 + x145 =L= 0;
e281.. - 11.31*i43 - 11.31*i44 + 0.5*x102 + 0.5*x114 - x136 + x144 =L= 0;
e282.. - 11.31*i43 + 11.31*i44 + 0.5*x102 + 0.5*x114 + x136 - x144 =L= 11.31;
e283.. 13*i43 - 13*i44 + 0.5*x103 + 0.5*x115 - x137 + x145 =L= 13;
e284.. 13*i43 + 13*i44 + 0.5*x103 + 0.5*x115 + x137 - x145 =L= 26;
e285.. - x80 + x138 - x140 =L= 0;
e286.. - x80 - x138 + x140 =L= 0;
e287.. - x81 + x139 - x141 =L= 0;
e288.. - x81 - x139 + x141 =L= 0;
e289.. - 11.31*i45 - 11.31*i46 + 0.5*x104 + 0.5*x106 - x138 + x140 =L= 0;
e290.. - 11.31*i45 + 11.31*i46 + 0.5*x104 + 0.5*x106 + x138 - x140 =L= 11.31;
e291.. 13*i45 - 13*i46 + 0.5*x105 + 0.5*x108 - x139 + x141 =L= 13;
e292.. 13*i45 + 13*i46 + 0.5*x105 + 0.5*x108 + x139 - x141 =L= 26;
e293.. - x130 + x138 - x142 =L= 0;
e294.. - x130 - x138 + x142 =L= 0;
e295.. - x131 + x139 - x143 =L= 0;
e296.. - x131 - x139 + x143 =L= 0;
e297.. - 11.31*i47 - 11.31*i48 + 0.5*x104 + 0.5*x110 - x138 + x142 =L= 0;
e298.. - 11.31*i47 + 11.31*i48 + 0.5*x104 + 0.5*x110 + x138 - x142 =L= 11.31;
e299.. 13*i47 - 13*i48 + 0.5*x105 + 0.5*x112 - x139 + x143 =L= 13;
e300.. 13*i47 + 13*i48 + 0.5*x105 + 0.5*x112 + x139 - x143 =L= 26;
e301.. - x82 + x138 - x144 =L= 0;
e302.. - x82 - x138 + x144 =L= 0;
e303.. - x83 + x139 - x145 =L= 0;
e304.. - x83 - x139 + x145 =L= 0;
e305.. - 11.31*i49 - 11.31*i50 + 0.5*x104 + 0.5*x114 - x138 + x144 =L= 0;
e306.. - 11.31*i49 + 11.31*i50 + 0.5*x104 + 0.5*x114 + x138 - x144 =L= 11.31;
e307.. 13*i49 - 13*i50 + 0.5*x105 + 0.5*x115 - x139 + x145 =L= 13;
e308.. 13*i49 + 13*i50 + 0.5*x105 + 0.5*x115 + x139 - x145 =L= 26;
e309.. - x132 + x140 - x142 =L= 0;
e310.. - x132 - x140 + x142 =L= 0;
e311.. - x133 + x141 - x143 =L= 0;
e312.. - x133 - x141 + x143 =L= 0;
e313.. - 11.31*i51 - 11.31*i52 + 0.5*x106 + 0.5*x110 - x140 + x142 =L= 0;
e314.. - 11.31*i51 + 11.31*i52 + 0.5*x106 + 0.5*x110 + x140 - x142 =L= 11.31;
e315.. 13*i51 - 13*i52 + 0.5*x108 + 0.5*x112 - x141 + x143 =L= 13;
e316.. 13*i51 + 13*i52 + 0.5*x108 + 0.5*x112 + x141 - x143 =L= 26;
e317.. - x84 + x140 - x144 =L= 0;
e318.. - x84 - x140 + x144 =L= 0;
e319.. - x85 + x141 - x145 =L= 0;
e320.. - x85 - x141 + x145 =L= 0;
e321.. - 11.31*i53 - 11.31*i54 + 0.5*x106 + 0.5*x114 - x140 + x144 =L= 0;
e322.. - 11.31*i53 + 11.31*i54 + 0.5*x106 + 0.5*x114 + x140 - x144 =L= 11.31;
e323.. 13*i53 - 13*i54 + 0.5*x108 + 0.5*x115 - x141 + x145 =L= 13;
e324.. 13*i53 + 13*i54 + 0.5*x108 + 0.5*x115 + x141 - x145 =L= 26;
e325.. - x86 + x142 - x144 =L= 0;
e326.. - x86 - x142 + x144 =L= 0;
e327.. - x87 + x143 - x145 =L= 0;
e328.. - x87 - x143 + x145 =L= 0;
e329.. - 11.31*i55 - 11.31*i56 + 0.5*x110 + 0.5*x114 - x142 + x144 =L= 0;
e330.. - 11.31*i55 + 11.31*i56 + 0.5*x110 + 0.5*x114 + x142 - x144 =L= 11.31;
e331.. 13*i55 - 13*i56 + 0.5*x112 + 0.5*x115 - x143 + x145 =L= 13;
e332.. 13*i55 + 13*i56 + 0.5*x112 + 0.5*x115 + x143 - x145 =L= 26;
e333.. 16/x92 - x95 =L= 0;
e334.. 16/x95 - x92 =L= 0;
e335.. 16/x93 - x96 =L= 0;
e336.. 16/x96 - x93 =L= 0;
e337.. 16/x98 - x100 =L= 0;
e338.. 16/x100 - x98 =L= 0;
e339.. 36/x102 - x103 =L= 0;
e340.. 36/x103 - x102 =L= 0;
e341.. 36/x104 - x105 =L= 0;
e342.. 36/x105 - x104 =L= 0;
e343.. 9/x106 - x108 =L= 0;
e344.. 9/x108 - x106 =L= 0;
e345.. 9/x110 - x112 =L= 0;
e346.. 9/x112 - x110 =L= 0;
e347.. 9/x114 - x115 =L= 0;
e348.. 9/x115 - x114 =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;
x92.lo = 2; x92.up = 8;
x93.lo = 2; x93.up = 8;
x95.lo = 2; x95.up = 8;
x96.lo = 2; x96.up = 8;
x98.lo = 2; x98.up = 8;
x100.lo = 2; x100.up = 8;
x102.lo = 3; x102.up = 11.31;
x103.lo = 3.183; x103.up = 12;
x104.lo = 3; x104.up = 11.31;
x105.lo = 3.183; x105.up = 12;
x106.lo = 1.5; x106.up = 6;
x108.lo = 1.5; x108.up = 6;
x110.lo = 1.5; x110.up = 6;
x112.lo = 1.5; x112.up = 6;
x114.lo = 1.5; x114.up = 6;
x115.lo = 1.5; x115.up = 6;
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