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Instance sfacloc1_2_90
Probabilistic Facility Location and Assignment with Random Demand (given by 5000 scenarios), where 2 facilities can be opened anywhere in the Euclidean plane (distances are measured with the Manhattan (or L1) metric), the facilities are capacitated and each customer may be served by more than one facility. The objective is to minimize an upper-bound on the weighted total-distance (i.e., the sum of the product of the demand of each customer times the distance to the facility serving that customer) such that this bound is satisfied with a reliability level of 0.90.
| Formatsⓘ | ams gms mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 13.40914165 (ANTIGONE) 7.35820546 (BARON) 5.93087359 (COUENNE) 17.89150206 (GUROBI) 12.73273252 (LINDO) 7.74255162 (SCIP) 0. (SHOT) 17.72603338 (XPRESS) |
| Referencesⓘ | Lejeune, M A and Margot, François, Solving Chance-Constrained Optimization Problems with Stochastic Quadratic Inequalities, Operations Research, 64:4, 2016, 939-957. |
| Sourceⓘ | instance CCFACLOC/1B2C/M2_2/M2_2_1B2C_15_2_90_5000.nl from François Margot stochastic instances collection |
| Applicationⓘ | Facility Location |
| Added to libraryⓘ | 12 Aug 2014 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 199 |
| #Binary Variablesⓘ | 30 |
| #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ⓘ | 15 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 348 |
| #Linear Constraintsⓘ | 333 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 15 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 913 |
| #Nonlinear Nonzeros in Jacobianⓘ | 75 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 180 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 0 |
| #Blocks in Hessian of Lagrangianⓘ | 15 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 5 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 5 |
| Average blocksize in Hessian of Lagrangianⓘ | 5.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 1.0000e-01 |
| Maximal coefficientⓘ | 9.9280e+01 |
| Infeasibility of initial pointⓘ | 85.75 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 349 76 256 17 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 200 170 30 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 929 854 75 0
*
* Solve m using MINLP minimizing objvar;
Variables x1,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,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180,b181
,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193,b194
,b195,b196,b197,b198,b199,objvar;
Positive Variables x1,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,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;
Binary Variables b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180,b181
,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193,b194
,b195,b196,b197,b198,b199;
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,e349;
e1.. x76 + x77 + x78 + x79 + x80 + x81 + x82 + x83 + x84 + x85 + x86 + x87
+ x88 + x89 + x90 - objvar =E= 0;
e2.. (-x61*x32*x2) - x61*x31*x1 + x155 =E= 0;
e3.. (-x62*x34*x4) - x62*x33*x3 + x156 =E= 0;
e4.. (-x63*x36*x6) - x63*x35*x5 + x157 =E= 0;
e5.. (-x64*x38*x8) - x64*x37*x7 + x158 =E= 0;
e6.. (-x65*x40*x10) - x65*x39*x9 + x159 =E= 0;
e7.. (-x66*x42*x12) - x66*x41*x11 + x160 =E= 0;
e8.. (-x67*x44*x14) - x67*x43*x13 + x161 =E= 0;
e9.. (-x68*x46*x16) - x68*x45*x15 + x162 =E= 0;
e10.. (-x69*x48*x18) - x69*x47*x17 + x163 =E= 0;
e11.. (-x70*x50*x20) - x70*x49*x19 + x164 =E= 0;
e12.. (-x71*x52*x22) - x71*x51*x21 + x165 =E= 0;
e13.. (-x72*x54*x24) - x72*x53*x23 + x166 =E= 0;
e14.. (-x73*x56*x26) - x73*x55*x25 + x167 =E= 0;
e15.. (-x74*x58*x28) - x74*x57*x27 + x168 =E= 0;
e16.. (-x75*x60*x30) - x75*x59*x29 + x169 =E= 0;
e17.. x1 + x2 =E= 1;
e18.. x3 + x4 =E= 1;
e19.. x5 + x6 =E= 1;
e20.. x7 + x8 =E= 1;
e21.. x9 + x10 =E= 1;
e22.. x11 + x12 =E= 1;
e23.. x13 + x14 =E= 1;
e24.. x15 + x16 =E= 1;
e25.. x17 + x18 =E= 1;
e26.. x19 + x20 =E= 1;
e27.. x21 + x22 =E= 1;
e28.. x23 + x24 =E= 1;
e29.. x25 + x26 =E= 1;
e30.. x27 + x28 =E= 1;
e31.. x29 + x30 =E= 1;
e32.. 2.02*x1 + 4.01333333333333*x3 + 4.76*x5 + 5.96*x7
+ 42.0933333333333*x9 + 99.28*x11 + 6.59333333333333*x13
+ 61.8666666666667*x15 + 56.2866666666667*x17 + 41.5*x19
+ 62.4933333333333*x21 + 80.9066666666667*x23 + 26.1466666666667*x25
+ 38*x27 + 62.24*x29 =L= 302.08;
e33.. 2.02*x2 + 4.01333333333333*x4 + 4.76*x6 + 5.96*x8
+ 42.0933333333333*x10 + 99.28*x12 + 6.59333333333333*x14
+ 61.8666666666667*x16 + 56.2866666666667*x18 + 41.5*x20
+ 62.4933333333333*x22 + 80.9066666666667*x24 + 26.1466666666667*x26
+ 38*x28 + 62.24*x30 =L= 302.08;
e34.. x91 + x95 =G= 0.29424122;
e35.. x92 + x96 =G= 0.29424122;
e36.. x91 + x97 =G= 0.29760193;
e37.. x92 + x98 =G= 0.29760193;
e38.. x91 + x99 =G= 0.35149534;
e39.. x92 + x100 =G= 0.35149534;
e40.. x91 + x101 =G= 0.30458283;
e41.. x92 + x102 =G= 0.30458283;
e42.. x91 + x103 =G= 0.29951066;
e43.. x92 + x104 =G= 0.29951066;
e44.. x91 + x105 =G= 0.30694357;
e45.. x92 + x106 =G= 0.30694357;
e46.. x91 + x107 =G= 0.33520661;
e47.. x92 + x108 =G= 0.33520661;
e48.. x91 + x109 =G= 0.3400071;
e49.. x92 + x110 =G= 0.3400071;
e50.. x91 + x111 =G= 0.35227087;
e51.. x92 + x112 =G= 0.35227087;
e52.. x91 + x113 =G= 0.34225726;
e53.. x92 + x114 =G= 0.34225726;
e54.. x91 + x115 =G= 0.32776566;
e55.. x92 + x116 =G= 0.32776566;
e56.. x91 + x117 =G= 0.30438256;
e57.. x92 + x118 =G= 0.30438256;
e58.. x91 + x119 =G= 0.28538336;
e59.. x92 + x120 =G= 0.28538336;
e60.. x91 + x121 =G= 0.27950575;
e61.. x92 + x122 =G= 0.27950575;
e62.. - x91 + x95 =G= -0.29424122;
e63.. - x92 + x96 =G= -0.29424122;
e64.. - x91 + x97 =G= -0.29760193;
e65.. - x92 + x98 =G= -0.29760193;
e66.. - x91 + x99 =G= -0.35149534;
e67.. - x92 + x100 =G= -0.35149534;
e68.. - x91 + x101 =G= -0.30458283;
e69.. - x92 + x102 =G= -0.30458283;
e70.. - x91 + x103 =G= -0.29951066;
e71.. - x92 + x104 =G= -0.29951066;
e72.. - x91 + x105 =G= -0.30694357;
e73.. - x92 + x106 =G= -0.30694357;
e74.. - x91 + x107 =G= -0.33520661;
e75.. - x92 + x108 =G= -0.33520661;
e76.. - x91 + x109 =G= -0.3400071;
e77.. - x92 + x110 =G= -0.3400071;
e78.. - x91 + x113 =G= -0.34225726;
e79.. - x92 + x114 =G= -0.34225726;
e80.. - x91 + x115 =G= -0.32776566;
e81.. - x92 + x116 =G= -0.32776566;
e82.. - x91 + x117 =G= -0.30438256;
e83.. - x92 + x118 =G= -0.30438256;
e84.. - x91 + x119 =G= -0.28538336;
e85.. - x92 + x120 =G= -0.28538336;
e86.. - x91 + x121 =G= -0.27950575;
e87.. - x92 + x122 =G= -0.27950575;
e88.. - x91 + x123 =G= -0.25788969;
e89.. - x92 + x124 =G= -0.25788969;
e90.. x93 + x127 =G= -0.9536939;
e91.. x94 + x128 =G= -0.9536939;
e92.. x93 + x129 =G= -0.9004898;
e93.. x94 + x130 =G= -0.9004898;
e94.. x93 + x131 =G= -0.9114032;
e95.. x94 + x132 =G= -0.9114032;
e96.. x93 + x133 =G= -0.90071532;
e97.. x94 + x134 =G= -0.90071532;
e98.. x93 + x135 =G= -0.88043054;
e99.. x94 + x136 =G= -0.88043054;
e100.. x93 + x137 =G= -0.8680249;
e101.. x94 + x138 =G= -0.8680249;
e102.. x93 + x139 =G= -0.81034814;
e103.. x94 + x140 =G= -0.81034814;
e104.. x93 + x141 =G= -0.80843127;
e105.. x94 + x142 =G= -0.80843127;
e106.. x93 + x143 =G= -0.7794471;
e107.. x94 + x144 =G= -0.7794471;
e108.. x93 + x145 =G= -0.79930922;
e109.. x94 + x146 =G= -0.79930922;
e110.. x93 + x147 =G= -0.84280733;
e111.. x94 + x148 =G= -0.84280733;
e112.. x93 + x149 =G= -0.81379236;
e113.. x94 + x150 =G= -0.81379236;
e114.. x93 + x151 =G= -0.82457178;
e115.. x94 + x152 =G= -0.82457178;
e116.. x93 + x153 =G= -0.80226439;
e117.. x94 + x154 =G= -0.80226439;
e118.. - x93 + x125 =G= 0.98493628;
e119.. - x94 + x126 =G= 0.98493628;
e120.. - x93 + x127 =G= 0.9536939;
e121.. - x94 + x128 =G= 0.9536939;
e122.. - x93 + x129 =G= 0.9004898;
e123.. - x94 + x130 =G= 0.9004898;
e124.. - x93 + x131 =G= 0.9114032;
e125.. - x94 + x132 =G= 0.9114032;
e126.. - x93 + x133 =G= 0.90071532;
e127.. - x94 + x134 =G= 0.90071532;
e128.. - x93 + x135 =G= 0.88043054;
e129.. - x94 + x136 =G= 0.88043054;
e130.. - x93 + x137 =G= 0.8680249;
e131.. - x94 + x138 =G= 0.8680249;
e132.. - x93 + x139 =G= 0.81034814;
e133.. - x94 + x140 =G= 0.81034814;
e134.. - x93 + x141 =G= 0.80843127;
e135.. - x94 + x142 =G= 0.80843127;
e136.. - x93 + x145 =G= 0.79930922;
e137.. - x94 + x146 =G= 0.79930922;
e138.. - x93 + x147 =G= 0.84280733;
e139.. - x94 + x148 =G= 0.84280733;
e140.. - x93 + x149 =G= 0.81379236;
e141.. - x94 + x150 =G= 0.81379236;
e142.. - x93 + x151 =G= 0.82457178;
e143.. - x94 + x152 =G= 0.82457178;
e144.. - x93 + x153 =G= 0.80226439;
e145.. - x94 + x154 =G= 0.80226439;
e146.. x31 - x95 - x125 =E= 0;
e147.. x32 - x96 - x126 =E= 0;
e148.. x33 - x97 - x127 =E= 0;
e149.. x34 - x98 - x128 =E= 0;
e150.. x35 - x99 - x129 =E= 0;
e151.. x36 - x100 - x130 =E= 0;
e152.. x37 - x101 - x131 =E= 0;
e153.. x38 - x102 - x132 =E= 0;
e154.. x39 - x103 - x133 =E= 0;
e155.. x40 - x104 - x134 =E= 0;
e156.. x41 - x105 - x135 =E= 0;
e157.. x42 - x106 - x136 =E= 0;
e158.. x43 - x107 - x137 =E= 0;
e159.. x44 - x108 - x138 =E= 0;
e160.. x45 - x109 - x139 =E= 0;
e161.. x46 - x110 - x140 =E= 0;
e162.. x47 - x111 - x141 =E= 0;
e163.. x48 - x112 - x142 =E= 0;
e164.. x49 - x113 - x143 =E= 0;
e165.. x50 - x114 - x144 =E= 0;
e166.. x51 - x115 - x145 =E= 0;
e167.. x52 - x116 - x146 =E= 0;
e168.. x53 - x117 - x147 =E= 0;
e169.. x54 - x118 - x148 =E= 0;
e170.. x55 - x119 - x149 =E= 0;
e171.. x56 - x120 - x150 =E= 0;
e172.. x57 - x121 - x151 =E= 0;
e173.. x58 - x122 - x152 =E= 0;
e174.. x59 - x123 - x153 =E= 0;
e175.. x60 - x124 - x154 =E= 0;
e176.. b177 + b178 =G= 1;
e177.. b175 + b180 =G= 1;
e178.. b174 + b178 =G= 1;
e179.. b174 + b177 + b179 =G= 1;
e180.. b174 + b176 + b180 =G= 1;
e181.. b174 + b175 =G= 1;
e182.. b173 + b180 =G= 1;
e183.. b173 + b177 =G= 1;
e184.. b172 + b179 =G= 1;
e185.. b172 + b177 + b180 =G= 1;
e186.. b172 + b176 =G= 1;
e187.. b172 + b174 + b180 =G= 1;
e188.. b172 + b174 + b177 =G= 1;
e189.. b172 + b173 =G= 1;
e190.. b171 + b179 =G= 1;
e191.. b171 + b177 + b180 =G= 1;
e192.. b171 + b176 =G= 1;
e193.. b171 + b174 =G= 1;
e194.. b171 + b172 =G= 1;
e195.. b170 + b179 =G= 1;
e196.. b170 + b177 + b180 =G= 1;
e197.. b170 + b176 =G= 1;
e198.. b170 + b174 + b180 =G= 1;
e199.. b170 + b174 + b177 =G= 1;
e200.. b170 + b173 =G= 1;
e201.. b170 + b172 =G= 1;
e202.. b170 + b171 =G= 1;
e203.. b180 + b185 =G= 1;
e204.. b180 + b184 + b186 =G= 1;
e205.. b180 + b183 + b187 =G= 1;
e206.. b180 + b182 =G= 1;
e207.. b180 + b181 + b187 =G= 1;
e208.. b180 + b181 + b184 =G= 1;
e209.. b179 + b186 =G= 1;
e210.. b179 + b184 + b187 =G= 1;
e211.. b179 + b183 =G= 1;
e212.. b179 + b181 =G= 1;
e213.. b178 + b187 =G= 1;
e214.. b178 + b184 =G= 1;
e215.. b178 + b181 =G= 1;
e216.. b177 + b185 =G= 1;
e217.. b177 + b184 + b186 =G= 1;
e218.. b177 + b183 + b187 =G= 1;
e219.. b177 + b182 =G= 1;
e220.. b177 + b181 + b187 =G= 1;
e221.. b177 + b181 + b184 =G= 1;
e222.. b177 + b180 + b186 =G= 1;
e223.. b177 + b180 + b184 + b187 =G= 1;
e224.. b177 + b180 + b183 =G= 1;
e225.. b177 + b180 + b181 =G= 1;
e226.. b177 + b179 + b187 =G= 1;
e227.. b177 + b179 + b184 =G= 1;
e228.. b177 + b179 + b181 =G= 1;
e229.. b176 + b186 =G= 1;
e230.. b176 + b184 + b187 =G= 1;
e231.. b176 + b183 =G= 1;
e232.. b176 + b181 =G= 1;
e233.. b176 + b180 + b187 =G= 1;
e234.. b176 + b180 + b184 =G= 1;
e235.. b176 + b180 + b181 =G= 1;
e236.. b176 + b179 + b187 =G= 1;
e237.. b176 + b179 + b184 =G= 1;
e238.. b176 + b179 + b181 =G= 1;
e239.. b175 + b187 =G= 1;
e240.. b175 + b184 =G= 1;
e241.. b175 + b181 =G= 1;
e242.. b174 + b185 =G= 1;
e243.. b174 + b184 + b186 =G= 1;
e244.. b174 + b183 + b187 =G= 1;
e245.. b174 + b182 =G= 1;
e246.. b174 + b181 + b187 =G= 1;
e247.. b174 + b181 + b184 =G= 1;
e248.. b174 + b180 + b186 =G= 1;
e249.. b174 + b180 + b184 + b187 =G= 1;
e250.. b174 + b180 + b183 =G= 1;
e251.. b174 + b180 + b181 =G= 1;
e252.. b174 + b179 + b187 =G= 1;
e253.. b174 + b179 + b184 =G= 1;
e254.. b174 + b179 + b181 =G= 1;
e255.. b174 + b177 + b186 =G= 1;
e256.. b174 + b177 + b184 + b187 =G= 1;
e257.. b174 + b177 + b183 =G= 1;
e258.. b174 + b177 + b181 =G= 1;
e259.. b174 + b177 + b180 + b187 =G= 1;
e260.. b174 + b177 + b180 + b184 =G= 1;
e261.. b174 + b177 + b180 + b181 =G= 1;
e262.. b174 + b176 + b187 =G= 1;
e263.. b174 + b176 + b184 =G= 1;
e264.. b174 + b176 + b181 =G= 1;
e265.. b173 + b187 =G= 1;
e266.. b173 + b184 =G= 1;
e267.. b173 + b181 =G= 1;
e268.. b172 + b186 =G= 1;
e269.. b172 + b184 + b187 =G= 1;
e270.. b172 + b183 =G= 1;
e271.. b172 + b181 =G= 1;
e272.. b172 + b180 + b187 =G= 1;
e273.. b172 + b180 + b184 =G= 1;
e274.. b172 + b180 + b181 =G= 1;
e275.. b172 + b177 + b187 =G= 1;
e276.. b172 + b177 + b184 =G= 1;
e277.. b172 + b177 + b181 =G= 1;
e278.. b172 + b174 + b187 =G= 1;
e279.. b172 + b174 + b184 =G= 1;
e280.. b172 + b174 + b181 =G= 1;
e281.. b171 + b186 =G= 1;
e282.. b171 + b184 + b187 =G= 1;
e283.. b171 + b183 =G= 1;
e284.. b171 + b181 =G= 1;
e285.. b171 + b180 + b187 =G= 1;
e286.. b171 + b180 + b184 =G= 1;
e287.. b171 + b180 + b181 =G= 1;
e288.. b171 + b177 + b187 =G= 1;
e289.. b171 + b177 + b184 =G= 1;
e290.. b171 + b177 + b181 =G= 1;
e291.. b170 + b186 =G= 1;
e292.. b170 + b184 + b187 =G= 1;
e293.. b170 + b183 =G= 1;
e294.. b170 + b181 =G= 1;
e295.. b170 + b180 + b187 =G= 1;
e296.. b170 + b180 + b184 =G= 1;
e297.. b170 + b180 + b181 =G= 1;
e298.. b170 + b177 + b187 =G= 1;
e299.. b170 + b177 + b184 =G= 1;
e300.. b170 + b177 + b181 =G= 1;
e301.. b170 + b174 + b187 =G= 1;
e302.. b170 + b174 + b184 =G= 1;
e303.. b170 + b174 + b181 =G= 1;
e304.. b173 - b174 =G= 0;
e305.. b175 - b176 =G= 0;
e306.. b176 - b177 =G= 0;
e307.. b178 - b179 =G= 0;
e308.. b179 - b180 =G= 0;
e309.. b182 - b183 =G= 0;
e310.. b183 - b184 =G= 0;
e311.. b185 - b186 =G= 0;
e312.. b186 - b187 =G= 0;
e313.. b188 - b189 =G= 0;
e314.. b189 - b190 =G= 0;
e315.. b190 - b191 =G= 0;
e316.. b192 - b193 =G= 0;
e317.. b193 - b194 =G= 0;
e318.. b198 - b199 =G= 0;
e319.. x93 - x94 =G= 0;
e320.. x61 - 0.1*b170 =E= 1.92;
e321.. x62 - 0.193333333333333*b171 =E= 3.82;
e322.. x63 - 0.226666666666667*b172 =E= 4.53333333333333;
e323.. x64 - 0.286666666666667*b173 - 0.28*b174 =E= 5.39333333333333;
e324.. x65 - 1.91333333333333*b175 - 1.91333333333333*b176
- 1.91333333333333*b177 =E= 36.3533333333333;
e325.. x66 - 4.50666666666667*b178 - 4.51333333333333*b179
- 4.51333333333333*b180 =E= 85.7466666666667;
e326.. x67 - 0.313333333333333*b181 =E= 6.28;
e327.. x68 - 2.80666666666667*b182 - 2.81333333333333*b183
- 2.81333333333333*b184 =E= 53.4333333333333;
e328.. x69 - 2.56*b185 - 2.56*b186 - 2.55333333333333*b187
=E= 48.6133333333333;
e329.. x70 - 1.88666666666667*b188 - 1.88666666666667*b189
- 1.88666666666667*b190 - 1.88666666666667*b191 =E= 33.9533333333333;
e330.. x71 - 2.84*b192 - 2.84*b193 - 2.84666666666667*b194
=E= 53.9666666666667;
e331.. x72 - 3.85333333333333*b195 =E= 77.0533333333333;
e332.. x73 - 1.24*b196 =E= 24.9066666666667;
e333.. x74 - 1.81333333333333*b197 =E= 36.1866666666667;
e334.. x75 - 2.96*b198 - 2.96666666666667*b199 =E= 56.3133333333333;
e335.. - x76 + x155 =L= 0;
e336.. - x77 + x156 =L= 0;
e337.. - x78 + x157 =L= 0;
e338.. - x79 + x158 =L= 0;
e339.. - x80 + x159 =L= 0;
e340.. - x81 + x160 =L= 0;
e341.. - x82 + x161 =L= 0;
e342.. - x83 + x162 =L= 0;
e343.. - x84 + x163 =L= 0;
e344.. - x85 + x164 =L= 0;
e345.. - x86 + x165 =L= 0;
e346.. - x87 + x166 =L= 0;
e347.. - x88 + x167 =L= 0;
e348.. - x89 + x168 =L= 0;
e349.. - x90 + x169 =L= 0;
* set non-default bounds
x1.up = 1;
x2.up = 1;
x3.up = 1;
x4.up = 1;
x5.up = 1;
x6.up = 1;
x7.up = 1;
x8.up = 1;
x9.up = 1;
x10.up = 1;
x11.up = 1;
x12.up = 1;
x13.up = 1;
x14.up = 1;
x15.up = 1;
x16.up = 1;
x17.up = 1;
x18.up = 1;
x19.up = 1;
x20.up = 1;
x21.up = 1;
x22.up = 1;
x23.up = 1;
x24.up = 1;
x25.up = 1;
x26.up = 1;
x27.up = 1;
x28.up = 1;
x29.up = 1;
x30.up = 1;
x31.up = 0.26351883;
x32.up = 0.26351883;
x33.up = 0.22891574;
x34.up = 0.22891574;
x35.up = 0.21464835;
x36.up = 0.21464835;
x37.up = 0.17964414;
x38.up = 0.17964414;
x39.up = 0.17402843;
x40.up = 0.17402843;
x41.up = 0.15355962;
x42.up = 0.15355962;
x43.up = 0.1942283;
x44.up = 0.1942283;
x45.up = 0.25670555;
x46.up = 0.25670555;
x47.up = 0.27088619;
x48.up = 0.27088619;
x49.up = 0.28985675;
x50.up = 0.28985675;
x51.up = 0.25550303;
x52.up = 0.25550303;
x53.up = 0.19001726;
x54.up = 0.19001726;
x55.up = 0.23803143;
x56.up = 0.23803143;
x57.up = 0.23312962;
x58.up = 0.23312962;
x59.up = 0.27705307;
x60.up = 0.27705307;
x61.up = 2.02;
x62.up = 4.01333333333333;
x63.up = 4.76;
x64.up = 5.96;
x65.up = 42.0933333333333;
x66.up = 99.28;
x67.up = 6.59333333333333;
x68.up = 61.8666666666667;
x69.up = 56.2866666666667;
x70.up = 41.5;
x71.up = 62.4933333333333;
x72.up = 80.9066666666667;
x73.up = 26.1466666666667;
x74.up = 38;
x75.up = 62.24;
x76.up = 0.5323080366;
x77.up = 0.918715169866666;
x78.up = 1.021726146;
x79.up = 1.0706790744;
x80.up = 7.32543671346667;
x81.up = 15.2453990736;
x82.up = 1.28061192466667;
x83.up = 15.8815166933333;
x84.up = 15.2472806811333;
x85.up = 12.029055125;
x86.up = 15.9672360214667;
x87.up = 15.3736631157333;
x88.up = 6.2237284564;
x89.up = 8.85892556;
x90.up = 17.2437830768;
x91.lo = 0.25788969; x91.up = 0.35227087;
x92.lo = 0.25788969; x92.up = 0.35227087;
x93.lo = -0.98493628; x93.up = -0.7794471;
x94.lo = -0.98493628; x94.up = -0.7794471;
x95.up = 0.0580296499999999;
x96.up = 0.0580296499999999;
x97.up = 0.0546689399999999;
x98.up = 0.0546689399999999;
x99.up = 0.09360565;
x100.up = 0.09360565;
x101.up = 0.0476880399999999;
x102.up = 0.0476880399999999;
x103.up = 0.05276021;
x104.up = 0.05276021;
x105.up = 0.04905388;
x106.up = 0.04905388;
x107.up = 0.07731692;
x108.up = 0.07731692;
x109.up = 0.08211741;
x110.up = 0.08211741;
x111.up = 0.09438118;
x112.up = 0.09438118;
x113.up = 0.08436757;
x114.up = 0.08436757;
x115.up = 0.06987597;
x116.up = 0.06987597;
x117.up = 0.04788831;
x118.up = 0.04788831;
x119.up = 0.0668875099999999;
x120.up = 0.0668875099999999;
x121.up = 0.07276512;
x122.up = 0.07276512;
x123.up = 0.09438118;
x124.up = 0.09438118;
x125.up = 0.20548918;
x126.up = 0.20548918;
x127.up = 0.1742468;
x128.up = 0.1742468;
x129.up = 0.1210427;
x130.up = 0.1210427;
x131.up = 0.1319561;
x132.up = 0.1319561;
x133.up = 0.12126822;
x134.up = 0.12126822;
x135.up = 0.10450574;
x136.up = 0.10450574;
x137.up = 0.11691138;
x138.up = 0.11691138;
x139.up = 0.17458814;
x140.up = 0.17458814;
x141.up = 0.17650501;
x142.up = 0.17650501;
x143.up = 0.20548918;
x144.up = 0.20548918;
x145.up = 0.18562706;
x146.up = 0.18562706;
x147.up = 0.14212895;
x148.up = 0.14212895;
x149.up = 0.17114392;
x150.up = 0.17114392;
x151.up = 0.1603645;
x152.up = 0.1603645;
x153.up = 0.18267189;
x154.up = 0.18267189;
x155.up = 0.5323080366;
x156.up = 0.918715169866666;
x157.up = 1.021726146;
x158.up = 1.0706790744;
x159.up = 7.32543671346667;
x160.up = 15.2453990736;
x161.up = 1.28061192466667;
x162.up = 15.8815166933333;
x163.up = 15.2472806811333;
x164.up = 12.029055125;
x165.up = 15.9672360214667;
x166.up = 15.3736631157333;
x167.up = 6.2237284564;
x168.up = 8.85892556;
x169.up = 17.2437830768;
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: 2026-09-14 Git hash: 9472b011