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Instance sfacloc1_3_90
Probabilistic Facility Location and Assignment with Random Demand (given by 5000 scenarios), where 3 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ⓘ | 3.81070227 (ANTIGONE) 0.00000000 (BARON) 0.16837867 (COUENNE) 8.47653286 (GUROBI) 2.35386878 (LINDO) 4.23457371 (SCIP) 0.00000000 (SHOT) 6.68534268 (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_3_90_5000.nl from François Margot stochastic instances collection |
| Applicationⓘ | Facility Location |
| Added to libraryⓘ | 12 Aug 2014 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 261 |
| #Binary Variablesⓘ | 30 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 105 |
| #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ⓘ | 421 |
| #Linear Constraintsⓘ | 406 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 15 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 1132 |
| #Nonlinear Nonzeros in Jacobianⓘ | 105 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 270 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 0 |
| #Blocks in Hessian of Lagrangianⓘ | 15 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 7 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 7 |
| Average blocksize in Hessian of Lagrangianⓘ | 7.0 |
| #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
* 422 91 313 18 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 262 232 30 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1148 1043 105 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,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181
,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194
,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206,x207
,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,b232,b233
,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245,b246
,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258,b259
,b260,b261,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,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,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
,x173,x174,x175,x176,x177,x178,x179,x180,x181,x182,x183,x184,x185
,x186,x187,x188,x189,x190,x191,x192,x193,x194,x195,x196,x197,x198
,x199,x200,x201,x202,x203,x204,x205,x206,x207,x208,x209,x210,x211
,x212,x213,x214,x215,x216,x217,x218,x219,x220,x221,x222,x223,x224
,x225,x226,x227,x228,x229,x230,x231;
Binary Variables b232,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243
,b244,b245,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256
,b257,b258,b259,b260,b261;
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,e350
,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
,e416,e417,e418,e419,e420,e421,e422;
e1.. x106 + x107 + x108 + x109 + x110 + x111 + x112 + x113 + x114 + x115
+ x116 + x117 + x118 + x119 + x120 - objvar =E= 0;
e2.. -(x91*x46*x1 + x91*x47*x2 + x91*x48*x3) + x217 =E= 0;
e3.. -(x92*x49*x4 + x92*x50*x5 + x92*x51*x6) + x218 =E= 0;
e4.. -(x93*x52*x7 + x93*x53*x8 + x93*x54*x9) + x219 =E= 0;
e5.. -(x94*x55*x10 + x94*x56*x11 + x94*x57*x12) + x220 =E= 0;
e6.. -(x95*x58*x13 + x95*x59*x14 + x95*x60*x15) + x221 =E= 0;
e7.. -(x96*x61*x16 + x96*x62*x17 + x96*x63*x18) + x222 =E= 0;
e8.. -(x97*x64*x19 + x97*x65*x20 + x97*x66*x21) + x223 =E= 0;
e9.. -(x98*x67*x22 + x98*x68*x23 + x98*x69*x24) + x224 =E= 0;
e10.. -(x99*x70*x25 + x99*x71*x26 + x99*x72*x27) + x225 =E= 0;
e11.. -(x100*x73*x28 + x100*x74*x29 + x100*x75*x30) + x226 =E= 0;
e12.. -(x101*x76*x31 + x101*x77*x32 + x101*x78*x33) + x227 =E= 0;
e13.. -(x102*x79*x34 + x102*x80*x35 + x102*x81*x36) + x228 =E= 0;
e14.. -(x103*x82*x37 + x103*x83*x38 + x103*x84*x39) + x229 =E= 0;
e15.. -(x104*x85*x40 + x104*x86*x41 + x104*x87*x42) + x230 =E= 0;
e16.. -(x105*x88*x43 + x105*x89*x44 + x105*x90*x45) + x231 =E= 0;
e17.. x1 + x2 + x3 =E= 1;
e18.. x4 + x5 + x6 =E= 1;
e19.. x7 + x8 + x9 =E= 1;
e20.. x10 + x11 + x12 =E= 1;
e21.. x13 + x14 + x15 =E= 1;
e22.. x16 + x17 + x18 =E= 1;
e23.. x19 + x20 + x21 =E= 1;
e24.. x22 + x23 + x24 =E= 1;
e25.. x25 + x26 + x27 =E= 1;
e26.. x28 + x29 + x30 =E= 1;
e27.. x31 + x32 + x33 =E= 1;
e28.. x34 + x35 + x36 =E= 1;
e29.. x37 + x38 + x39 =E= 1;
e30.. x40 + x41 + x42 =E= 1;
e31.. x43 + x44 + x45 =E= 1;
e32.. 2.02*x1 + 4.01333333333333*x4 + 4.76*x7 + 5.96*x10
+ 42.0933333333333*x13 + 99.28*x16 + 6.59333333333333*x19
+ 61.8666666666667*x22 + 56.2866666666667*x25 + 41.5*x28
+ 62.4933333333333*x31 + 80.9066666666667*x34 + 26.1466666666667*x37
+ 38*x40 + 62.24*x43 =L= 213.053333333333;
e33.. 2.02*x2 + 4.01333333333333*x5 + 4.76*x8 + 5.96*x11
+ 42.0933333333333*x14 + 99.28*x17 + 6.59333333333333*x20
+ 61.8666666666667*x23 + 56.2866666666667*x26 + 41.5*x29
+ 62.4933333333333*x32 + 80.9066666666667*x35 + 26.1466666666667*x38
+ 38*x41 + 62.24*x44 =L= 213.053333333333;
e34.. 2.02*x3 + 4.01333333333333*x6 + 4.76*x9 + 5.96*x12
+ 42.0933333333333*x15 + 99.28*x18 + 6.59333333333333*x21
+ 61.8666666666667*x24 + 56.2866666666667*x27 + 41.5*x30
+ 62.4933333333333*x33 + 80.9066666666667*x36 + 26.1466666666667*x39
+ 38*x42 + 62.24*x45 =L= 213.053333333333;
e35.. x121 + x127 =G= 0.29424122;
e36.. x122 + x128 =G= 0.29424122;
e37.. x123 + x129 =G= 0.29424122;
e38.. x121 + x130 =G= 0.29760193;
e39.. x122 + x131 =G= 0.29760193;
e40.. x123 + x132 =G= 0.29760193;
e41.. x121 + x133 =G= 0.35149534;
e42.. x122 + x134 =G= 0.35149534;
e43.. x123 + x135 =G= 0.35149534;
e44.. x121 + x136 =G= 0.30458283;
e45.. x122 + x137 =G= 0.30458283;
e46.. x123 + x138 =G= 0.30458283;
e47.. x121 + x139 =G= 0.29951066;
e48.. x122 + x140 =G= 0.29951066;
e49.. x123 + x141 =G= 0.29951066;
e50.. x121 + x142 =G= 0.30694357;
e51.. x122 + x143 =G= 0.30694357;
e52.. x123 + x144 =G= 0.30694357;
e53.. x121 + x145 =G= 0.33520661;
e54.. x122 + x146 =G= 0.33520661;
e55.. x123 + x147 =G= 0.33520661;
e56.. x121 + x148 =G= 0.3400071;
e57.. x122 + x149 =G= 0.3400071;
e58.. x123 + x150 =G= 0.3400071;
e59.. x121 + x151 =G= 0.35227087;
e60.. x122 + x152 =G= 0.35227087;
e61.. x123 + x153 =G= 0.35227087;
e62.. x121 + x154 =G= 0.34225726;
e63.. x122 + x155 =G= 0.34225726;
e64.. x123 + x156 =G= 0.34225726;
e65.. x121 + x157 =G= 0.32776566;
e66.. x122 + x158 =G= 0.32776566;
e67.. x123 + x159 =G= 0.32776566;
e68.. x121 + x160 =G= 0.30438256;
e69.. x122 + x161 =G= 0.30438256;
e70.. x123 + x162 =G= 0.30438256;
e71.. x121 + x163 =G= 0.28538336;
e72.. x122 + x164 =G= 0.28538336;
e73.. x123 + x165 =G= 0.28538336;
e74.. x121 + x166 =G= 0.27950575;
e75.. x122 + x167 =G= 0.27950575;
e76.. x123 + x168 =G= 0.27950575;
e77.. - x121 + x127 =G= -0.29424122;
e78.. - x122 + x128 =G= -0.29424122;
e79.. - x123 + x129 =G= -0.29424122;
e80.. - x121 + x130 =G= -0.29760193;
e81.. - x122 + x131 =G= -0.29760193;
e82.. - x123 + x132 =G= -0.29760193;
e83.. - x121 + x133 =G= -0.35149534;
e84.. - x122 + x134 =G= -0.35149534;
e85.. - x123 + x135 =G= -0.35149534;
e86.. - x121 + x136 =G= -0.30458283;
e87.. - x122 + x137 =G= -0.30458283;
e88.. - x123 + x138 =G= -0.30458283;
e89.. - x121 + x139 =G= -0.29951066;
e90.. - x122 + x140 =G= -0.29951066;
e91.. - x123 + x141 =G= -0.29951066;
e92.. - x121 + x142 =G= -0.30694357;
e93.. - x122 + x143 =G= -0.30694357;
e94.. - x123 + x144 =G= -0.30694357;
e95.. - x121 + x145 =G= -0.33520661;
e96.. - x122 + x146 =G= -0.33520661;
e97.. - x123 + x147 =G= -0.33520661;
e98.. - x121 + x148 =G= -0.3400071;
e99.. - x122 + x149 =G= -0.3400071;
e100.. - x123 + x150 =G= -0.3400071;
e101.. - x121 + x154 =G= -0.34225726;
e102.. - x122 + x155 =G= -0.34225726;
e103.. - x123 + x156 =G= -0.34225726;
e104.. - x121 + x157 =G= -0.32776566;
e105.. - x122 + x158 =G= -0.32776566;
e106.. - x123 + x159 =G= -0.32776566;
e107.. - x121 + x160 =G= -0.30438256;
e108.. - x122 + x161 =G= -0.30438256;
e109.. - x123 + x162 =G= -0.30438256;
e110.. - x121 + x163 =G= -0.28538336;
e111.. - x122 + x164 =G= -0.28538336;
e112.. - x123 + x165 =G= -0.28538336;
e113.. - x121 + x166 =G= -0.27950575;
e114.. - x122 + x167 =G= -0.27950575;
e115.. - x123 + x168 =G= -0.27950575;
e116.. - x121 + x169 =G= -0.25788969;
e117.. - x122 + x170 =G= -0.25788969;
e118.. - x123 + x171 =G= -0.25788969;
e119.. x124 + x175 =G= -0.9536939;
e120.. x125 + x176 =G= -0.9536939;
e121.. x126 + x177 =G= -0.9536939;
e122.. x124 + x178 =G= -0.9004898;
e123.. x125 + x179 =G= -0.9004898;
e124.. x126 + x180 =G= -0.9004898;
e125.. x124 + x181 =G= -0.9114032;
e126.. x125 + x182 =G= -0.9114032;
e127.. x126 + x183 =G= -0.9114032;
e128.. x124 + x184 =G= -0.90071532;
e129.. x125 + x185 =G= -0.90071532;
e130.. x126 + x186 =G= -0.90071532;
e131.. x124 + x187 =G= -0.88043054;
e132.. x125 + x188 =G= -0.88043054;
e133.. x126 + x189 =G= -0.88043054;
e134.. x124 + x190 =G= -0.8680249;
e135.. x125 + x191 =G= -0.8680249;
e136.. x126 + x192 =G= -0.8680249;
e137.. x124 + x193 =G= -0.81034814;
e138.. x125 + x194 =G= -0.81034814;
e139.. x126 + x195 =G= -0.81034814;
e140.. x124 + x196 =G= -0.80843127;
e141.. x125 + x197 =G= -0.80843127;
e142.. x126 + x198 =G= -0.80843127;
e143.. x124 + x199 =G= -0.7794471;
e144.. x125 + x200 =G= -0.7794471;
e145.. x126 + x201 =G= -0.7794471;
e146.. x124 + x202 =G= -0.79930922;
e147.. x125 + x203 =G= -0.79930922;
e148.. x126 + x204 =G= -0.79930922;
e149.. x124 + x205 =G= -0.84280733;
e150.. x125 + x206 =G= -0.84280733;
e151.. x126 + x207 =G= -0.84280733;
e152.. x124 + x208 =G= -0.81379236;
e153.. x125 + x209 =G= -0.81379236;
e154.. x126 + x210 =G= -0.81379236;
e155.. x124 + x211 =G= -0.82457178;
e156.. x125 + x212 =G= -0.82457178;
e157.. x126 + x213 =G= -0.82457178;
e158.. x124 + x214 =G= -0.80226439;
e159.. x125 + x215 =G= -0.80226439;
e160.. x126 + x216 =G= -0.80226439;
e161.. - x124 + x172 =G= 0.98493628;
e162.. - x125 + x173 =G= 0.98493628;
e163.. - x126 + x174 =G= 0.98493628;
e164.. - x124 + x175 =G= 0.9536939;
e165.. - x125 + x176 =G= 0.9536939;
e166.. - x126 + x177 =G= 0.9536939;
e167.. - x124 + x178 =G= 0.9004898;
e168.. - x125 + x179 =G= 0.9004898;
e169.. - x126 + x180 =G= 0.9004898;
e170.. - x124 + x181 =G= 0.9114032;
e171.. - x125 + x182 =G= 0.9114032;
e172.. - x126 + x183 =G= 0.9114032;
e173.. - x124 + x184 =G= 0.90071532;
e174.. - x125 + x185 =G= 0.90071532;
e175.. - x126 + x186 =G= 0.90071532;
e176.. - x124 + x187 =G= 0.88043054;
e177.. - x125 + x188 =G= 0.88043054;
e178.. - x126 + x189 =G= 0.88043054;
e179.. - x124 + x190 =G= 0.8680249;
e180.. - x125 + x191 =G= 0.8680249;
e181.. - x126 + x192 =G= 0.8680249;
e182.. - x124 + x193 =G= 0.81034814;
e183.. - x125 + x194 =G= 0.81034814;
e184.. - x126 + x195 =G= 0.81034814;
e185.. - x124 + x196 =G= 0.80843127;
e186.. - x125 + x197 =G= 0.80843127;
e187.. - x126 + x198 =G= 0.80843127;
e188.. - x124 + x202 =G= 0.79930922;
e189.. - x125 + x203 =G= 0.79930922;
e190.. - x126 + x204 =G= 0.79930922;
e191.. - x124 + x205 =G= 0.84280733;
e192.. - x125 + x206 =G= 0.84280733;
e193.. - x126 + x207 =G= 0.84280733;
e194.. - x124 + x208 =G= 0.81379236;
e195.. - x125 + x209 =G= 0.81379236;
e196.. - x126 + x210 =G= 0.81379236;
e197.. - x124 + x211 =G= 0.82457178;
e198.. - x125 + x212 =G= 0.82457178;
e199.. - x126 + x213 =G= 0.82457178;
e200.. - x124 + x214 =G= 0.80226439;
e201.. - x125 + x215 =G= 0.80226439;
e202.. - x126 + x216 =G= 0.80226439;
e203.. x46 - x127 - x172 =E= 0;
e204.. x47 - x128 - x173 =E= 0;
e205.. x48 - x129 - x174 =E= 0;
e206.. x49 - x130 - x175 =E= 0;
e207.. x50 - x131 - x176 =E= 0;
e208.. x51 - x132 - x177 =E= 0;
e209.. x52 - x133 - x178 =E= 0;
e210.. x53 - x134 - x179 =E= 0;
e211.. x54 - x135 - x180 =E= 0;
e212.. x55 - x136 - x181 =E= 0;
e213.. x56 - x137 - x182 =E= 0;
e214.. x57 - x138 - x183 =E= 0;
e215.. x58 - x139 - x184 =E= 0;
e216.. x59 - x140 - x185 =E= 0;
e217.. x60 - x141 - x186 =E= 0;
e218.. x61 - x142 - x187 =E= 0;
e219.. x62 - x143 - x188 =E= 0;
e220.. x63 - x144 - x189 =E= 0;
e221.. x64 - x145 - x190 =E= 0;
e222.. x65 - x146 - x191 =E= 0;
e223.. x66 - x147 - x192 =E= 0;
e224.. x67 - x148 - x193 =E= 0;
e225.. x68 - x149 - x194 =E= 0;
e226.. x69 - x150 - x195 =E= 0;
e227.. x70 - x151 - x196 =E= 0;
e228.. x71 - x152 - x197 =E= 0;
e229.. x72 - x153 - x198 =E= 0;
e230.. x73 - x154 - x199 =E= 0;
e231.. x74 - x155 - x200 =E= 0;
e232.. x75 - x156 - x201 =E= 0;
e233.. x76 - x157 - x202 =E= 0;
e234.. x77 - x158 - x203 =E= 0;
e235.. x78 - x159 - x204 =E= 0;
e236.. x79 - x160 - x205 =E= 0;
e237.. x80 - x161 - x206 =E= 0;
e238.. x81 - x162 - x207 =E= 0;
e239.. x82 - x163 - x208 =E= 0;
e240.. x83 - x164 - x209 =E= 0;
e241.. x84 - x165 - x210 =E= 0;
e242.. x85 - x166 - x211 =E= 0;
e243.. x86 - x167 - x212 =E= 0;
e244.. x87 - x168 - x213 =E= 0;
e245.. x88 - x169 - x214 =E= 0;
e246.. x89 - x170 - x215 =E= 0;
e247.. x90 - x171 - x216 =E= 0;
e248.. b239 + b240 =G= 1;
e249.. b237 + b242 =G= 1;
e250.. b236 + b240 =G= 1;
e251.. b236 + b239 + b241 =G= 1;
e252.. b236 + b238 + b242 =G= 1;
e253.. b236 + b237 =G= 1;
e254.. b235 + b242 =G= 1;
e255.. b235 + b239 =G= 1;
e256.. b234 + b241 =G= 1;
e257.. b234 + b239 + b242 =G= 1;
e258.. b234 + b238 =G= 1;
e259.. b234 + b236 + b242 =G= 1;
e260.. b234 + b236 + b239 =G= 1;
e261.. b234 + b235 =G= 1;
e262.. b233 + b241 =G= 1;
e263.. b233 + b239 + b242 =G= 1;
e264.. b233 + b238 =G= 1;
e265.. b233 + b236 =G= 1;
e266.. b233 + b234 =G= 1;
e267.. b232 + b241 =G= 1;
e268.. b232 + b239 + b242 =G= 1;
e269.. b232 + b238 =G= 1;
e270.. b232 + b236 + b242 =G= 1;
e271.. b232 + b236 + b239 =G= 1;
e272.. b232 + b235 =G= 1;
e273.. b232 + b234 =G= 1;
e274.. b232 + b233 =G= 1;
e275.. b242 + b247 =G= 1;
e276.. b242 + b246 + b248 =G= 1;
e277.. b242 + b245 + b249 =G= 1;
e278.. b242 + b244 =G= 1;
e279.. b242 + b243 + b249 =G= 1;
e280.. b242 + b243 + b246 =G= 1;
e281.. b241 + b248 =G= 1;
e282.. b241 + b246 + b249 =G= 1;
e283.. b241 + b245 =G= 1;
e284.. b241 + b243 =G= 1;
e285.. b240 + b249 =G= 1;
e286.. b240 + b246 =G= 1;
e287.. b240 + b243 =G= 1;
e288.. b239 + b247 =G= 1;
e289.. b239 + b246 + b248 =G= 1;
e290.. b239 + b245 + b249 =G= 1;
e291.. b239 + b244 =G= 1;
e292.. b239 + b243 + b249 =G= 1;
e293.. b239 + b243 + b246 =G= 1;
e294.. b239 + b242 + b248 =G= 1;
e295.. b239 + b242 + b246 + b249 =G= 1;
e296.. b239 + b242 + b245 =G= 1;
e297.. b239 + b242 + b243 =G= 1;
e298.. b239 + b241 + b249 =G= 1;
e299.. b239 + b241 + b246 =G= 1;
e300.. b239 + b241 + b243 =G= 1;
e301.. b238 + b248 =G= 1;
e302.. b238 + b246 + b249 =G= 1;
e303.. b238 + b245 =G= 1;
e304.. b238 + b243 =G= 1;
e305.. b238 + b242 + b249 =G= 1;
e306.. b238 + b242 + b246 =G= 1;
e307.. b238 + b242 + b243 =G= 1;
e308.. b238 + b241 + b249 =G= 1;
e309.. b238 + b241 + b246 =G= 1;
e310.. b238 + b241 + b243 =G= 1;
e311.. b237 + b249 =G= 1;
e312.. b237 + b246 =G= 1;
e313.. b237 + b243 =G= 1;
e314.. b236 + b247 =G= 1;
e315.. b236 + b246 + b248 =G= 1;
e316.. b236 + b245 + b249 =G= 1;
e317.. b236 + b244 =G= 1;
e318.. b236 + b243 + b249 =G= 1;
e319.. b236 + b243 + b246 =G= 1;
e320.. b236 + b242 + b248 =G= 1;
e321.. b236 + b242 + b246 + b249 =G= 1;
e322.. b236 + b242 + b245 =G= 1;
e323.. b236 + b242 + b243 =G= 1;
e324.. b236 + b241 + b249 =G= 1;
e325.. b236 + b241 + b246 =G= 1;
e326.. b236 + b241 + b243 =G= 1;
e327.. b236 + b239 + b248 =G= 1;
e328.. b236 + b239 + b246 + b249 =G= 1;
e329.. b236 + b239 + b245 =G= 1;
e330.. b236 + b239 + b243 =G= 1;
e331.. b236 + b239 + b242 + b249 =G= 1;
e332.. b236 + b239 + b242 + b246 =G= 1;
e333.. b236 + b239 + b242 + b243 =G= 1;
e334.. b236 + b238 + b249 =G= 1;
e335.. b236 + b238 + b246 =G= 1;
e336.. b236 + b238 + b243 =G= 1;
e337.. b235 + b249 =G= 1;
e338.. b235 + b246 =G= 1;
e339.. b235 + b243 =G= 1;
e340.. b234 + b248 =G= 1;
e341.. b234 + b246 + b249 =G= 1;
e342.. b234 + b245 =G= 1;
e343.. b234 + b243 =G= 1;
e344.. b234 + b242 + b249 =G= 1;
e345.. b234 + b242 + b246 =G= 1;
e346.. b234 + b242 + b243 =G= 1;
e347.. b234 + b239 + b249 =G= 1;
e348.. b234 + b239 + b246 =G= 1;
e349.. b234 + b239 + b243 =G= 1;
e350.. b234 + b236 + b249 =G= 1;
e351.. b234 + b236 + b246 =G= 1;
e352.. b234 + b236 + b243 =G= 1;
e353.. b233 + b248 =G= 1;
e354.. b233 + b246 + b249 =G= 1;
e355.. b233 + b245 =G= 1;
e356.. b233 + b243 =G= 1;
e357.. b233 + b242 + b249 =G= 1;
e358.. b233 + b242 + b246 =G= 1;
e359.. b233 + b242 + b243 =G= 1;
e360.. b233 + b239 + b249 =G= 1;
e361.. b233 + b239 + b246 =G= 1;
e362.. b233 + b239 + b243 =G= 1;
e363.. b232 + b248 =G= 1;
e364.. b232 + b246 + b249 =G= 1;
e365.. b232 + b245 =G= 1;
e366.. b232 + b243 =G= 1;
e367.. b232 + b242 + b249 =G= 1;
e368.. b232 + b242 + b246 =G= 1;
e369.. b232 + b242 + b243 =G= 1;
e370.. b232 + b239 + b249 =G= 1;
e371.. b232 + b239 + b246 =G= 1;
e372.. b232 + b239 + b243 =G= 1;
e373.. b232 + b236 + b249 =G= 1;
e374.. b232 + b236 + b246 =G= 1;
e375.. b232 + b236 + b243 =G= 1;
e376.. b235 - b236 =G= 0;
e377.. b237 - b238 =G= 0;
e378.. b238 - b239 =G= 0;
e379.. b240 - b241 =G= 0;
e380.. b241 - b242 =G= 0;
e381.. b244 - b245 =G= 0;
e382.. b245 - b246 =G= 0;
e383.. b247 - b248 =G= 0;
e384.. b248 - b249 =G= 0;
e385.. b250 - b251 =G= 0;
e386.. b251 - b252 =G= 0;
e387.. b252 - b253 =G= 0;
e388.. b254 - b255 =G= 0;
e389.. b255 - b256 =G= 0;
e390.. b260 - b261 =G= 0;
e391.. x124 - x125 =G= 0;
e392.. x125 - x126 =G= 0;
e393.. x91 - 0.1*b232 =E= 1.92;
e394.. x92 - 0.193333333333333*b233 =E= 3.82;
e395.. x93 - 0.226666666666667*b234 =E= 4.53333333333333;
e396.. x94 - 0.286666666666667*b235 - 0.28*b236 =E= 5.39333333333333;
e397.. x95 - 1.91333333333333*b237 - 1.91333333333333*b238
- 1.91333333333333*b239 =E= 36.3533333333333;
e398.. x96 - 4.50666666666667*b240 - 4.51333333333333*b241
- 4.51333333333333*b242 =E= 85.7466666666667;
e399.. x97 - 0.313333333333333*b243 =E= 6.28;
e400.. x98 - 2.80666666666667*b244 - 2.81333333333333*b245
- 2.81333333333333*b246 =E= 53.4333333333333;
e401.. x99 - 2.56*b247 - 2.56*b248 - 2.55333333333333*b249
=E= 48.6133333333333;
e402.. x100 - 1.88666666666667*b250 - 1.88666666666667*b251
- 1.88666666666667*b252 - 1.88666666666667*b253 =E= 33.9533333333333;
e403.. x101 - 2.84*b254 - 2.84*b255 - 2.84666666666667*b256
=E= 53.9666666666667;
e404.. x102 - 3.85333333333333*b257 =E= 77.0533333333333;
e405.. x103 - 1.24*b258 =E= 24.9066666666667;
e406.. x104 - 1.81333333333333*b259 =E= 36.1866666666667;
e407.. x105 - 2.96*b260 - 2.96666666666667*b261 =E= 56.3133333333333;
e408.. - x106 + x217 =L= 0;
e409.. - x107 + x218 =L= 0;
e410.. - x108 + x219 =L= 0;
e411.. - x109 + x220 =L= 0;
e412.. - x110 + x221 =L= 0;
e413.. - x111 + x222 =L= 0;
e414.. - x112 + x223 =L= 0;
e415.. - x113 + x224 =L= 0;
e416.. - x114 + x225 =L= 0;
e417.. - x115 + x226 =L= 0;
e418.. - x116 + x227 =L= 0;
e419.. - x117 + x228 =L= 0;
e420.. - x118 + x229 =L= 0;
e421.. - x119 + x230 =L= 0;
e422.. - x120 + x231 =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 = 1;
x32.up = 1;
x33.up = 1;
x34.up = 1;
x35.up = 1;
x36.up = 1;
x37.up = 1;
x38.up = 1;
x39.up = 1;
x40.up = 1;
x41.up = 1;
x42.up = 1;
x43.up = 1;
x44.up = 1;
x45.up = 1;
x46.up = 0.26351883;
x47.up = 0.26351883;
x48.up = 0.26351883;
x49.up = 0.22891574;
x50.up = 0.22891574;
x51.up = 0.22891574;
x52.up = 0.21464835;
x53.up = 0.21464835;
x54.up = 0.21464835;
x55.up = 0.17964414;
x56.up = 0.17964414;
x57.up = 0.17964414;
x58.up = 0.17402843;
x59.up = 0.17402843;
x60.up = 0.17402843;
x61.up = 0.15355962;
x62.up = 0.15355962;
x63.up = 0.15355962;
x64.up = 0.1942283;
x65.up = 0.1942283;
x66.up = 0.1942283;
x67.up = 0.25670555;
x68.up = 0.25670555;
x69.up = 0.25670555;
x70.up = 0.27088619;
x71.up = 0.27088619;
x72.up = 0.27088619;
x73.up = 0.28985675;
x74.up = 0.28985675;
x75.up = 0.28985675;
x76.up = 0.25550303;
x77.up = 0.25550303;
x78.up = 0.25550303;
x79.up = 0.19001726;
x80.up = 0.19001726;
x81.up = 0.19001726;
x82.up = 0.23803143;
x83.up = 0.23803143;
x84.up = 0.23803143;
x85.up = 0.23312962;
x86.up = 0.23312962;
x87.up = 0.23312962;
x88.up = 0.27705307;
x89.up = 0.27705307;
x90.up = 0.27705307;
x91.up = 2.02;
x92.up = 4.01333333333333;
x93.up = 4.76;
x94.up = 5.96;
x95.up = 42.0933333333333;
x96.up = 99.28;
x97.up = 6.59333333333333;
x98.up = 61.8666666666667;
x99.up = 56.2866666666667;
x100.up = 41.5;
x101.up = 62.4933333333333;
x102.up = 80.9066666666667;
x103.up = 26.1466666666667;
x104.up = 38;
x105.up = 62.24;
x106.up = 0.5323080366;
x107.up = 0.918715169866666;
x108.up = 1.021726146;
x109.up = 1.0706790744;
x110.up = 7.32543671346667;
x111.up = 15.2453990736;
x112.up = 1.28061192466667;
x113.up = 15.8815166933333;
x114.up = 15.2472806811333;
x115.up = 12.029055125;
x116.up = 15.9672360214667;
x117.up = 15.3736631157333;
x118.up = 6.2237284564;
x119.up = 8.85892556;
x120.up = 17.2437830768;
x121.lo = 0.25788969; x121.up = 0.35227087;
x122.lo = 0.25788969; x122.up = 0.35227087;
x123.lo = 0.25788969; x123.up = 0.35227087;
x124.lo = -0.98493628; x124.up = -0.7794471;
x125.lo = -0.98493628; x125.up = -0.7794471;
x126.lo = -0.98493628; x126.up = -0.7794471;
x127.up = 0.0580296499999999;
x128.up = 0.0580296499999999;
x129.up = 0.0580296499999999;
x130.up = 0.0546689399999999;
x131.up = 0.0546689399999999;
x132.up = 0.0546689399999999;
x133.up = 0.09360565;
x134.up = 0.09360565;
x135.up = 0.09360565;
x136.up = 0.0476880399999999;
x137.up = 0.0476880399999999;
x138.up = 0.0476880399999999;
x139.up = 0.05276021;
x140.up = 0.05276021;
x141.up = 0.05276021;
x142.up = 0.04905388;
x143.up = 0.04905388;
x144.up = 0.04905388;
x145.up = 0.07731692;
x146.up = 0.07731692;
x147.up = 0.07731692;
x148.up = 0.08211741;
x149.up = 0.08211741;
x150.up = 0.08211741;
x151.up = 0.09438118;
x152.up = 0.09438118;
x153.up = 0.09438118;
x154.up = 0.08436757;
x155.up = 0.08436757;
x156.up = 0.08436757;
x157.up = 0.06987597;
x158.up = 0.06987597;
x159.up = 0.06987597;
x160.up = 0.04788831;
x161.up = 0.04788831;
x162.up = 0.04788831;
x163.up = 0.0668875099999999;
x164.up = 0.0668875099999999;
x165.up = 0.0668875099999999;
x166.up = 0.07276512;
x167.up = 0.07276512;
x168.up = 0.07276512;
x169.up = 0.09438118;
x170.up = 0.09438118;
x171.up = 0.09438118;
x172.up = 0.20548918;
x173.up = 0.20548918;
x174.up = 0.20548918;
x175.up = 0.1742468;
x176.up = 0.1742468;
x177.up = 0.1742468;
x178.up = 0.1210427;
x179.up = 0.1210427;
x180.up = 0.1210427;
x181.up = 0.1319561;
x182.up = 0.1319561;
x183.up = 0.1319561;
x184.up = 0.12126822;
x185.up = 0.12126822;
x186.up = 0.12126822;
x187.up = 0.10450574;
x188.up = 0.10450574;
x189.up = 0.10450574;
x190.up = 0.11691138;
x191.up = 0.11691138;
x192.up = 0.11691138;
x193.up = 0.17458814;
x194.up = 0.17458814;
x195.up = 0.17458814;
x196.up = 0.17650501;
x197.up = 0.17650501;
x198.up = 0.17650501;
x199.up = 0.20548918;
x200.up = 0.20548918;
x201.up = 0.20548918;
x202.up = 0.18562706;
x203.up = 0.18562706;
x204.up = 0.18562706;
x205.up = 0.14212895;
x206.up = 0.14212895;
x207.up = 0.14212895;
x208.up = 0.17114392;
x209.up = 0.17114392;
x210.up = 0.17114392;
x211.up = 0.1603645;
x212.up = 0.1603645;
x213.up = 0.1603645;
x214.up = 0.18267189;
x215.up = 0.18267189;
x216.up = 0.18267189;
x217.up = 0.5323080366;
x218.up = 0.918715169866666;
x219.up = 1.021726146;
x220.up = 1.0706790744;
x221.up = 7.32543671346667;
x222.up = 15.2453990736;
x223.up = 1.28061192466667;
x224.up = 15.8815166933333;
x225.up = 15.2472806811333;
x226.up = 12.029055125;
x227.up = 15.9672360214667;
x228.up = 15.3736631157333;
x229.up = 6.2237284564;
x230.up = 8.85892556;
x231.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: 2025-08-07 Git hash: e62cedfc