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Instance sfacloc2_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 is served by a single 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ⓘ | 14.98423145 (ANTIGONE) 15.09450103 (BARON) 15.09450105 (COUENNE) 15.09450105 (LINDO) 15.09450105 (SCIP) 0.00000000 (SHOT) |
| 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/2B1C/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ⓘ | 291 |
| #Binary Variablesⓘ | 75 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 105 |
| #Nonlinear Binary Variablesⓘ | 45 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 15 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 496 |
| #Linear Constraintsⓘ | 451 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 45 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 1267 |
| #Nonlinear Nonzeros in Jacobianⓘ | 135 |
| #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+00 |
| Maximal coefficientⓘ | 9.9280e+01 |
| Infeasibility of initial pointⓘ | 1 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 497 61 388 48 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 292 217 75 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1283 1148 135 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,b61,b62,b63,b64,b65,b66,b67,b68,b69,b70
,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86,b87
,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102,b103
,b104,b105,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,x232,x233
,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245,x246
,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258,x259
,x260,x261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271,b272
,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284,b285
,b286,b287,b288,b289,b290,b291,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,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,x232
,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245
,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258
,x259,x260,x261;
Binary Variables b61,b62,b63,b64,b65,b66,b67,b68,b69,b70,b71,b72,b73,b74,b75
,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86,b87,b88,b89,b90,b91,b92
,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102,b103,b104,b105,b262,b263
,b264,b265,b266,b267,b268,b269,b270,b271,b272,b273,b274,b275,b276
,b277,b278,b279,b280,b281,b282,b283,b284,b285,b286,b287,b288,b289
,b290,b291;
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,e423,e424,e425,e426,e427,e428
,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441
,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
,e481,e482,e483,e484,e485,e486,e487,e488,e489,e490,e491,e492,e493
,e494,e495,e496,e497;
e1.. x106 + x107 + x108 + x109 + x110 + x111 + x112 + x113 + x114 + x115
+ x116 + x117 + x118 + x119 + x120 - objvar =E= 0;
e2.. -x46*x1*b61 + x217 =G= 0;
e3.. -x46*x2*b62 + x218 =G= 0;
e4.. -x46*x3*b63 + x219 =G= 0;
e5.. -x47*x4*b64 + x220 =G= 0;
e6.. -x47*x5*b65 + x221 =G= 0;
e7.. -x47*x6*b66 + x222 =G= 0;
e8.. -x48*x7*b67 + x223 =G= 0;
e9.. -x48*x8*b68 + x224 =G= 0;
e10.. -x48*x9*b69 + x225 =G= 0;
e11.. -x49*x10*b70 + x226 =G= 0;
e12.. -x49*x11*b71 + x227 =G= 0;
e13.. -x49*x12*b72 + x228 =G= 0;
e14.. -x50*x13*b73 + x229 =G= 0;
e15.. -x50*x14*b74 + x230 =G= 0;
e16.. -x50*x15*b75 + x231 =G= 0;
e17.. -x51*x16*b76 + x232 =G= 0;
e18.. -x51*x17*b77 + x233 =G= 0;
e19.. -x51*x18*b78 + x234 =G= 0;
e20.. -x52*x19*b79 + x235 =G= 0;
e21.. -x52*x20*b80 + x236 =G= 0;
e22.. -x52*x21*b81 + x237 =G= 0;
e23.. -x53*x22*b82 + x238 =G= 0;
e24.. -x53*x23*b83 + x239 =G= 0;
e25.. -x53*x24*b84 + x240 =G= 0;
e26.. -x54*x25*b85 + x241 =G= 0;
e27.. -x54*x26*b86 + x242 =G= 0;
e28.. -x54*x27*b87 + x243 =G= 0;
e29.. -x55*x28*b88 + x244 =G= 0;
e30.. -x55*x29*b89 + x245 =G= 0;
e31.. -x55*x30*b90 + x246 =G= 0;
e32.. -x56*x31*b91 + x247 =G= 0;
e33.. -x56*x32*b92 + x248 =G= 0;
e34.. -x56*x33*b93 + x249 =G= 0;
e35.. -x57*x34*b94 + x250 =G= 0;
e36.. -x57*x35*b95 + x251 =G= 0;
e37.. -x57*x36*b96 + x252 =G= 0;
e38.. -x58*x37*b97 + x253 =G= 0;
e39.. -x58*x38*b98 + x254 =G= 0;
e40.. -x58*x39*b99 + x255 =G= 0;
e41.. -x59*x40*b100 + x256 =G= 0;
e42.. -x59*x41*b101 + x257 =G= 0;
e43.. -x59*x42*b102 + x258 =G= 0;
e44.. -x60*x43*b103 + x259 =G= 0;
e45.. -x60*x44*b104 + x260 =G= 0;
e46.. -x60*x45*b105 + x261 =G= 0;
e47.. b61 + b62 + b63 =E= 1;
e48.. b64 + b65 + b66 =E= 1;
e49.. b67 + b68 + b69 =E= 1;
e50.. b70 + b71 + b72 =E= 1;
e51.. b73 + b74 + b75 =E= 1;
e52.. b76 + b77 + b78 =E= 1;
e53.. b79 + b80 + b81 =E= 1;
e54.. b82 + b83 + b84 =E= 1;
e55.. b85 + b86 + b87 =E= 1;
e56.. b88 + b89 + b90 =E= 1;
e57.. b91 + b92 + b93 =E= 1;
e58.. b94 + b95 + b96 =E= 1;
e59.. b97 + b98 + b99 =E= 1;
e60.. b100 + b101 + b102 =E= 1;
e61.. b103 + b104 + b105 =E= 1;
e62.. 2.02*b61 + 4.01333333333333*b64 + 4.76*b67 + 5.96*b70
+ 42.0933333333333*b73 + 99.28*b76 + 6.59333333333333*b79
+ 61.8666666666667*b82 + 56.2866666666667*b85 + 41.5*b88
+ 62.4933333333333*b91 + 80.9066666666667*b94 + 26.1466666666667*b97
+ 38*b100 + 62.24*b103 =L= 213.053333333333;
e63.. 2.02*b62 + 4.01333333333333*b65 + 4.76*b68 + 5.96*b71
+ 42.0933333333333*b74 + 99.28*b77 + 6.59333333333333*b80
+ 61.8666666666667*b83 + 56.2866666666667*b86 + 41.5*b89
+ 62.4933333333333*b92 + 80.9066666666667*b95 + 26.1466666666667*b98
+ 38*b101 + 62.24*b104 =L= 213.053333333333;
e64.. 2.02*b63 + 4.01333333333333*b66 + 4.76*b69 + 5.96*b72
+ 42.0933333333333*b75 + 99.28*b78 + 6.59333333333333*b81
+ 61.8666666666667*b84 + 56.2866666666667*b87 + 41.5*b90
+ 62.4933333333333*b93 + 80.9066666666667*b96 + 26.1466666666667*b99
+ 38*b102 + 62.24*b105 =L= 213.053333333333;
e65.. x121 + x127 =G= 0.29424122;
e66.. x122 + x128 =G= 0.29424122;
e67.. x123 + x129 =G= 0.29424122;
e68.. x121 + x130 =G= 0.29760193;
e69.. x122 + x131 =G= 0.29760193;
e70.. x123 + x132 =G= 0.29760193;
e71.. x121 + x133 =G= 0.35149534;
e72.. x122 + x134 =G= 0.35149534;
e73.. x123 + x135 =G= 0.35149534;
e74.. x121 + x136 =G= 0.30458283;
e75.. x122 + x137 =G= 0.30458283;
e76.. x123 + x138 =G= 0.30458283;
e77.. x121 + x139 =G= 0.29951066;
e78.. x122 + x140 =G= 0.29951066;
e79.. x123 + x141 =G= 0.29951066;
e80.. x121 + x142 =G= 0.30694357;
e81.. x122 + x143 =G= 0.30694357;
e82.. x123 + x144 =G= 0.30694357;
e83.. x121 + x145 =G= 0.33520661;
e84.. x122 + x146 =G= 0.33520661;
e85.. x123 + x147 =G= 0.33520661;
e86.. x121 + x148 =G= 0.3400071;
e87.. x122 + x149 =G= 0.3400071;
e88.. x123 + x150 =G= 0.3400071;
e89.. x121 + x151 =G= 0.35227087;
e90.. x122 + x152 =G= 0.35227087;
e91.. x123 + x153 =G= 0.35227087;
e92.. x121 + x154 =G= 0.34225726;
e93.. x122 + x155 =G= 0.34225726;
e94.. x123 + x156 =G= 0.34225726;
e95.. x121 + x157 =G= 0.32776566;
e96.. x122 + x158 =G= 0.32776566;
e97.. x123 + x159 =G= 0.32776566;
e98.. x121 + x160 =G= 0.30438256;
e99.. x122 + x161 =G= 0.30438256;
e100.. x123 + x162 =G= 0.30438256;
e101.. x121 + x163 =G= 0.28538336;
e102.. x122 + x164 =G= 0.28538336;
e103.. x123 + x165 =G= 0.28538336;
e104.. x121 + x166 =G= 0.27950575;
e105.. x122 + x167 =G= 0.27950575;
e106.. x123 + x168 =G= 0.27950575;
e107.. - x121 + x127 =G= -0.29424122;
e108.. - x122 + x128 =G= -0.29424122;
e109.. - x123 + x129 =G= -0.29424122;
e110.. - x121 + x130 =G= -0.29760193;
e111.. - x122 + x131 =G= -0.29760193;
e112.. - x123 + x132 =G= -0.29760193;
e113.. - x121 + x133 =G= -0.35149534;
e114.. - x122 + x134 =G= -0.35149534;
e115.. - x123 + x135 =G= -0.35149534;
e116.. - x121 + x136 =G= -0.30458283;
e117.. - x122 + x137 =G= -0.30458283;
e118.. - x123 + x138 =G= -0.30458283;
e119.. - x121 + x139 =G= -0.29951066;
e120.. - x122 + x140 =G= -0.29951066;
e121.. - x123 + x141 =G= -0.29951066;
e122.. - x121 + x142 =G= -0.30694357;
e123.. - x122 + x143 =G= -0.30694357;
e124.. - x123 + x144 =G= -0.30694357;
e125.. - x121 + x145 =G= -0.33520661;
e126.. - x122 + x146 =G= -0.33520661;
e127.. - x123 + x147 =G= -0.33520661;
e128.. - x121 + x148 =G= -0.3400071;
e129.. - x122 + x149 =G= -0.3400071;
e130.. - x123 + x150 =G= -0.3400071;
e131.. - x121 + x154 =G= -0.34225726;
e132.. - x122 + x155 =G= -0.34225726;
e133.. - x123 + x156 =G= -0.34225726;
e134.. - x121 + x157 =G= -0.32776566;
e135.. - x122 + x158 =G= -0.32776566;
e136.. - x123 + x159 =G= -0.32776566;
e137.. - x121 + x160 =G= -0.30438256;
e138.. - x122 + x161 =G= -0.30438256;
e139.. - x123 + x162 =G= -0.30438256;
e140.. - x121 + x163 =G= -0.28538336;
e141.. - x122 + x164 =G= -0.28538336;
e142.. - x123 + x165 =G= -0.28538336;
e143.. - x121 + x166 =G= -0.27950575;
e144.. - x122 + x167 =G= -0.27950575;
e145.. - x123 + x168 =G= -0.27950575;
e146.. - x121 + x169 =G= -0.25788969;
e147.. - x122 + x170 =G= -0.25788969;
e148.. - x123 + x171 =G= -0.25788969;
e149.. x124 + x175 =G= -0.9536939;
e150.. x125 + x176 =G= -0.9536939;
e151.. x126 + x177 =G= -0.9536939;
e152.. x124 + x178 =G= -0.9004898;
e153.. x125 + x179 =G= -0.9004898;
e154.. x126 + x180 =G= -0.9004898;
e155.. x124 + x181 =G= -0.9114032;
e156.. x125 + x182 =G= -0.9114032;
e157.. x126 + x183 =G= -0.9114032;
e158.. x124 + x184 =G= -0.90071532;
e159.. x125 + x185 =G= -0.90071532;
e160.. x126 + x186 =G= -0.90071532;
e161.. x124 + x187 =G= -0.88043054;
e162.. x125 + x188 =G= -0.88043054;
e163.. x126 + x189 =G= -0.88043054;
e164.. x124 + x190 =G= -0.8680249;
e165.. x125 + x191 =G= -0.8680249;
e166.. x126 + x192 =G= -0.8680249;
e167.. x124 + x193 =G= -0.81034814;
e168.. x125 + x194 =G= -0.81034814;
e169.. x126 + x195 =G= -0.81034814;
e170.. x124 + x196 =G= -0.80843127;
e171.. x125 + x197 =G= -0.80843127;
e172.. x126 + x198 =G= -0.80843127;
e173.. x124 + x199 =G= -0.7794471;
e174.. x125 + x200 =G= -0.7794471;
e175.. x126 + x201 =G= -0.7794471;
e176.. x124 + x202 =G= -0.79930922;
e177.. x125 + x203 =G= -0.79930922;
e178.. x126 + x204 =G= -0.79930922;
e179.. x124 + x205 =G= -0.84280733;
e180.. x125 + x206 =G= -0.84280733;
e181.. x126 + x207 =G= -0.84280733;
e182.. x124 + x208 =G= -0.81379236;
e183.. x125 + x209 =G= -0.81379236;
e184.. x126 + x210 =G= -0.81379236;
e185.. x124 + x211 =G= -0.82457178;
e186.. x125 + x212 =G= -0.82457178;
e187.. x126 + x213 =G= -0.82457178;
e188.. x124 + x214 =G= -0.80226439;
e189.. x125 + x215 =G= -0.80226439;
e190.. x126 + x216 =G= -0.80226439;
e191.. - x124 + x172 =G= 0.98493628;
e192.. - x125 + x173 =G= 0.98493628;
e193.. - x126 + x174 =G= 0.98493628;
e194.. - x124 + x175 =G= 0.9536939;
e195.. - x125 + x176 =G= 0.9536939;
e196.. - x126 + x177 =G= 0.9536939;
e197.. - x124 + x178 =G= 0.9004898;
e198.. - x125 + x179 =G= 0.9004898;
e199.. - x126 + x180 =G= 0.9004898;
e200.. - x124 + x181 =G= 0.9114032;
e201.. - x125 + x182 =G= 0.9114032;
e202.. - x126 + x183 =G= 0.9114032;
e203.. - x124 + x184 =G= 0.90071532;
e204.. - x125 + x185 =G= 0.90071532;
e205.. - x126 + x186 =G= 0.90071532;
e206.. - x124 + x187 =G= 0.88043054;
e207.. - x125 + x188 =G= 0.88043054;
e208.. - x126 + x189 =G= 0.88043054;
e209.. - x124 + x190 =G= 0.8680249;
e210.. - x125 + x191 =G= 0.8680249;
e211.. - x126 + x192 =G= 0.8680249;
e212.. - x124 + x193 =G= 0.81034814;
e213.. - x125 + x194 =G= 0.81034814;
e214.. - x126 + x195 =G= 0.81034814;
e215.. - x124 + x196 =G= 0.80843127;
e216.. - x125 + x197 =G= 0.80843127;
e217.. - x126 + x198 =G= 0.80843127;
e218.. - x124 + x202 =G= 0.79930922;
e219.. - x125 + x203 =G= 0.79930922;
e220.. - x126 + x204 =G= 0.79930922;
e221.. - x124 + x205 =G= 0.84280733;
e222.. - x125 + x206 =G= 0.84280733;
e223.. - x126 + x207 =G= 0.84280733;
e224.. - x124 + x208 =G= 0.81379236;
e225.. - x125 + x209 =G= 0.81379236;
e226.. - x126 + x210 =G= 0.81379236;
e227.. - x124 + x211 =G= 0.82457178;
e228.. - x125 + x212 =G= 0.82457178;
e229.. - x126 + x213 =G= 0.82457178;
e230.. - x124 + x214 =G= 0.80226439;
e231.. - x125 + x215 =G= 0.80226439;
e232.. - x126 + x216 =G= 0.80226439;
e233.. x1 - x127 - x172 =E= 0;
e234.. x2 - x128 - x173 =E= 0;
e235.. x3 - x129 - x174 =E= 0;
e236.. x4 - x130 - x175 =E= 0;
e237.. x5 - x131 - x176 =E= 0;
e238.. x6 - x132 - x177 =E= 0;
e239.. x7 - x133 - x178 =E= 0;
e240.. x8 - x134 - x179 =E= 0;
e241.. x9 - x135 - x180 =E= 0;
e242.. x10 - x136 - x181 =E= 0;
e243.. x11 - x137 - x182 =E= 0;
e244.. x12 - x138 - x183 =E= 0;
e245.. x13 - x139 - x184 =E= 0;
e246.. x14 - x140 - x185 =E= 0;
e247.. x15 - x141 - x186 =E= 0;
e248.. x16 - x142 - x187 =E= 0;
e249.. x17 - x143 - x188 =E= 0;
e250.. x18 - x144 - x189 =E= 0;
e251.. x19 - x145 - x190 =E= 0;
e252.. x20 - x146 - x191 =E= 0;
e253.. x21 - x147 - x192 =E= 0;
e254.. x22 - x148 - x193 =E= 0;
e255.. x23 - x149 - x194 =E= 0;
e256.. x24 - x150 - x195 =E= 0;
e257.. x25 - x151 - x196 =E= 0;
e258.. x26 - x152 - x197 =E= 0;
e259.. x27 - x153 - x198 =E= 0;
e260.. x28 - x154 - x199 =E= 0;
e261.. x29 - x155 - x200 =E= 0;
e262.. x30 - x156 - x201 =E= 0;
e263.. x31 - x157 - x202 =E= 0;
e264.. x32 - x158 - x203 =E= 0;
e265.. x33 - x159 - x204 =E= 0;
e266.. x34 - x160 - x205 =E= 0;
e267.. x35 - x161 - x206 =E= 0;
e268.. x36 - x162 - x207 =E= 0;
e269.. x37 - x163 - x208 =E= 0;
e270.. x38 - x164 - x209 =E= 0;
e271.. x39 - x165 - x210 =E= 0;
e272.. x40 - x166 - x211 =E= 0;
e273.. x41 - x167 - x212 =E= 0;
e274.. x42 - x168 - x213 =E= 0;
e275.. x43 - x169 - x214 =E= 0;
e276.. x44 - x170 - x215 =E= 0;
e277.. x45 - x171 - x216 =E= 0;
e278.. b269 + b270 =G= 1;
e279.. b267 + b272 =G= 1;
e280.. b266 + b270 =G= 1;
e281.. b266 + b269 + b271 =G= 1;
e282.. b266 + b268 + b272 =G= 1;
e283.. b266 + b267 =G= 1;
e284.. b265 + b272 =G= 1;
e285.. b265 + b269 =G= 1;
e286.. b264 + b271 =G= 1;
e287.. b264 + b269 + b272 =G= 1;
e288.. b264 + b268 =G= 1;
e289.. b264 + b266 + b272 =G= 1;
e290.. b264 + b266 + b269 =G= 1;
e291.. b264 + b265 =G= 1;
e292.. b263 + b271 =G= 1;
e293.. b263 + b269 + b272 =G= 1;
e294.. b263 + b268 =G= 1;
e295.. b263 + b266 =G= 1;
e296.. b263 + b264 =G= 1;
e297.. b262 + b271 =G= 1;
e298.. b262 + b269 + b272 =G= 1;
e299.. b262 + b268 =G= 1;
e300.. b262 + b266 + b272 =G= 1;
e301.. b262 + b266 + b269 =G= 1;
e302.. b262 + b265 =G= 1;
e303.. b262 + b264 =G= 1;
e304.. b262 + b263 =G= 1;
e305.. b272 + b277 =G= 1;
e306.. b272 + b276 + b278 =G= 1;
e307.. b272 + b275 + b279 =G= 1;
e308.. b272 + b274 =G= 1;
e309.. b272 + b273 + b279 =G= 1;
e310.. b272 + b273 + b276 =G= 1;
e311.. b271 + b278 =G= 1;
e312.. b271 + b276 + b279 =G= 1;
e313.. b271 + b275 =G= 1;
e314.. b271 + b273 =G= 1;
e315.. b270 + b279 =G= 1;
e316.. b270 + b276 =G= 1;
e317.. b270 + b273 =G= 1;
e318.. b269 + b277 =G= 1;
e319.. b269 + b276 + b278 =G= 1;
e320.. b269 + b275 + b279 =G= 1;
e321.. b269 + b274 =G= 1;
e322.. b269 + b273 + b279 =G= 1;
e323.. b269 + b273 + b276 =G= 1;
e324.. b269 + b272 + b278 =G= 1;
e325.. b269 + b272 + b276 + b279 =G= 1;
e326.. b269 + b272 + b275 =G= 1;
e327.. b269 + b272 + b273 =G= 1;
e328.. b269 + b271 + b279 =G= 1;
e329.. b269 + b271 + b276 =G= 1;
e330.. b269 + b271 + b273 =G= 1;
e331.. b268 + b278 =G= 1;
e332.. b268 + b276 + b279 =G= 1;
e333.. b268 + b275 =G= 1;
e334.. b268 + b273 =G= 1;
e335.. b268 + b272 + b279 =G= 1;
e336.. b268 + b272 + b276 =G= 1;
e337.. b268 + b272 + b273 =G= 1;
e338.. b268 + b271 + b279 =G= 1;
e339.. b268 + b271 + b276 =G= 1;
e340.. b268 + b271 + b273 =G= 1;
e341.. b267 + b279 =G= 1;
e342.. b267 + b276 =G= 1;
e343.. b267 + b273 =G= 1;
e344.. b266 + b277 =G= 1;
e345.. b266 + b276 + b278 =G= 1;
e346.. b266 + b275 + b279 =G= 1;
e347.. b266 + b274 =G= 1;
e348.. b266 + b273 + b279 =G= 1;
e349.. b266 + b273 + b276 =G= 1;
e350.. b266 + b272 + b278 =G= 1;
e351.. b266 + b272 + b276 + b279 =G= 1;
e352.. b266 + b272 + b275 =G= 1;
e353.. b266 + b272 + b273 =G= 1;
e354.. b266 + b271 + b279 =G= 1;
e355.. b266 + b271 + b276 =G= 1;
e356.. b266 + b271 + b273 =G= 1;
e357.. b266 + b269 + b278 =G= 1;
e358.. b266 + b269 + b276 + b279 =G= 1;
e359.. b266 + b269 + b275 =G= 1;
e360.. b266 + b269 + b273 =G= 1;
e361.. b266 + b269 + b272 + b279 =G= 1;
e362.. b266 + b269 + b272 + b276 =G= 1;
e363.. b266 + b269 + b272 + b273 =G= 1;
e364.. b266 + b268 + b279 =G= 1;
e365.. b266 + b268 + b276 =G= 1;
e366.. b266 + b268 + b273 =G= 1;
e367.. b265 + b279 =G= 1;
e368.. b265 + b276 =G= 1;
e369.. b265 + b273 =G= 1;
e370.. b264 + b278 =G= 1;
e371.. b264 + b276 + b279 =G= 1;
e372.. b264 + b275 =G= 1;
e373.. b264 + b273 =G= 1;
e374.. b264 + b272 + b279 =G= 1;
e375.. b264 + b272 + b276 =G= 1;
e376.. b264 + b272 + b273 =G= 1;
e377.. b264 + b269 + b279 =G= 1;
e378.. b264 + b269 + b276 =G= 1;
e379.. b264 + b269 + b273 =G= 1;
e380.. b264 + b266 + b279 =G= 1;
e381.. b264 + b266 + b276 =G= 1;
e382.. b264 + b266 + b273 =G= 1;
e383.. b263 + b278 =G= 1;
e384.. b263 + b276 + b279 =G= 1;
e385.. b263 + b275 =G= 1;
e386.. b263 + b273 =G= 1;
e387.. b263 + b272 + b279 =G= 1;
e388.. b263 + b272 + b276 =G= 1;
e389.. b263 + b272 + b273 =G= 1;
e390.. b263 + b269 + b279 =G= 1;
e391.. b263 + b269 + b276 =G= 1;
e392.. b263 + b269 + b273 =G= 1;
e393.. b262 + b278 =G= 1;
e394.. b262 + b276 + b279 =G= 1;
e395.. b262 + b275 =G= 1;
e396.. b262 + b273 =G= 1;
e397.. b262 + b272 + b279 =G= 1;
e398.. b262 + b272 + b276 =G= 1;
e399.. b262 + b272 + b273 =G= 1;
e400.. b262 + b269 + b279 =G= 1;
e401.. b262 + b269 + b276 =G= 1;
e402.. b262 + b269 + b273 =G= 1;
e403.. b262 + b266 + b279 =G= 1;
e404.. b262 + b266 + b276 =G= 1;
e405.. b262 + b266 + b273 =G= 1;
e406.. x46 - 2.02*b262 =G= 0;
e407.. x47 - 4.01333333333333*b263 =G= 0;
e408.. x48 - 4.76*b264 =G= 0;
e409.. x49 - 5.68*b265 =G= 0;
e410.. x49 - 5.96*b266 =G= 0;
e411.. x50 - 38.2666666666667*b267 =G= 0;
e412.. x50 - 40.18*b268 =G= 0;
e413.. x50 - 42.0933333333333*b269 =G= 0;
e414.. x51 - 90.2533333333333*b270 =G= 0;
e415.. x51 - 94.7666666666667*b271 =G= 0;
e416.. x51 - 99.28*b272 =G= 0;
e417.. x52 - 6.59333333333333*b273 =G= 0;
e418.. x53 - 56.24*b274 =G= 0;
e419.. x53 - 59.0533333333333*b275 =G= 0;
e420.. x53 - 61.8666666666667*b276 =G= 0;
e421.. x54 - 51.1733333333333*b277 =G= 0;
e422.. x54 - 53.7333333333333*b278 =G= 0;
e423.. x54 - 56.2866666666667*b279 =G= 0;
e424.. x55 - 35.84*b280 =G= 0;
e425.. x55 - 37.7266666666667*b281 =G= 0;
e426.. x55 - 39.6133333333333*b282 =G= 0;
e427.. x55 - 41.5*b283 =G= 0;
e428.. x56 - 56.8066666666667*b284 =G= 0;
e429.. x56 - 59.6466666666667*b285 =G= 0;
e430.. x56 - 62.4933333333333*b286 =G= 0;
e431.. x57 - 80.9066666666667*b287 =G= 0;
e432.. x58 - 26.1466666666667*b288 =G= 0;
e433.. x59 - 38*b289 =G= 0;
e434.. x60 - 59.2733333333333*b290 =G= 0;
e435.. x60 - 62.24*b291 =G= 0;
e436.. - x106 + x217 =L= 0;
e437.. - x106 + x218 =L= 0;
e438.. - x106 + x219 =L= 0;
e439.. - x107 + x220 =L= 0;
e440.. - x107 + x221 =L= 0;
e441.. - x107 + x222 =L= 0;
e442.. - x108 + x223 =L= 0;
e443.. - x108 + x224 =L= 0;
e444.. - x108 + x225 =L= 0;
e445.. - x109 + x226 =L= 0;
e446.. - x109 + x227 =L= 0;
e447.. - x109 + x228 =L= 0;
e448.. - x110 + x229 =L= 0;
e449.. - x110 + x230 =L= 0;
e450.. - x110 + x231 =L= 0;
e451.. - x111 + x232 =L= 0;
e452.. - x111 + x233 =L= 0;
e453.. - x111 + x234 =L= 0;
e454.. - x112 + x235 =L= 0;
e455.. - x112 + x236 =L= 0;
e456.. - x112 + x237 =L= 0;
e457.. - x113 + x238 =L= 0;
e458.. - x113 + x239 =L= 0;
e459.. - x113 + x240 =L= 0;
e460.. - x114 + x241 =L= 0;
e461.. - x114 + x242 =L= 0;
e462.. - x114 + x243 =L= 0;
e463.. - x115 + x244 =L= 0;
e464.. - x115 + x245 =L= 0;
e465.. - x115 + x246 =L= 0;
e466.. - x116 + x247 =L= 0;
e467.. - x116 + x248 =L= 0;
e468.. - x116 + x249 =L= 0;
e469.. - x117 + x250 =L= 0;
e470.. - x117 + x251 =L= 0;
e471.. - x117 + x252 =L= 0;
e472.. - x118 + x253 =L= 0;
e473.. - x118 + x254 =L= 0;
e474.. - x118 + x255 =L= 0;
e475.. - x119 + x256 =L= 0;
e476.. - x119 + x257 =L= 0;
e477.. - x119 + x258 =L= 0;
e478.. - x120 + x259 =L= 0;
e479.. - x120 + x260 =L= 0;
e480.. - x120 + x261 =L= 0;
e481.. b265 - b266 =G= 0;
e482.. b267 - b268 =G= 0;
e483.. b268 - b269 =G= 0;
e484.. b270 - b271 =G= 0;
e485.. b271 - b272 =G= 0;
e486.. b274 - b275 =G= 0;
e487.. b275 - b276 =G= 0;
e488.. b277 - b278 =G= 0;
e489.. b278 - b279 =G= 0;
e490.. b280 - b281 =G= 0;
e491.. b281 - b282 =G= 0;
e492.. b282 - b283 =G= 0;
e493.. b284 - b285 =G= 0;
e494.. b285 - b286 =G= 0;
e495.. b290 - b291 =G= 0;
e496.. x124 - x125 =G= 0;
e497.. x125 - x126 =G= 0;
* set non-default bounds
x1.up = 0.26351883;
x2.up = 0.26351883;
x3.up = 0.26351883;
x4.up = 0.22891574;
x5.up = 0.22891574;
x6.up = 0.22891574;
x7.up = 0.21464835;
x8.up = 0.21464835;
x9.up = 0.21464835;
x10.up = 0.17964414;
x11.up = 0.17964414;
x12.up = 0.17964414;
x13.up = 0.17402843;
x14.up = 0.17402843;
x15.up = 0.17402843;
x16.up = 0.15355962;
x17.up = 0.15355962;
x18.up = 0.15355962;
x19.up = 0.1942283;
x20.up = 0.1942283;
x21.up = 0.1942283;
x22.up = 0.25670555;
x23.up = 0.25670555;
x24.up = 0.25670555;
x25.up = 0.27088619;
x26.up = 0.27088619;
x27.up = 0.27088619;
x28.up = 0.28985675;
x29.up = 0.28985675;
x30.up = 0.28985675;
x31.up = 0.25550303;
x32.up = 0.25550303;
x33.up = 0.25550303;
x34.up = 0.19001726;
x35.up = 0.19001726;
x36.up = 0.19001726;
x37.up = 0.23803143;
x38.up = 0.23803143;
x39.up = 0.23803143;
x40.up = 0.23312962;
x41.up = 0.23312962;
x42.up = 0.23312962;
x43.up = 0.27705307;
x44.up = 0.27705307;
x45.up = 0.27705307;
x46.lo = 1.92; x46.up = 2.02;
x47.lo = 3.82; x47.up = 4.01333333333333;
x48.lo = 4.53333333333333; x48.up = 4.76;
x49.lo = 5.39333333333333; x49.up = 5.96;
x50.lo = 36.3533333333333; x50.up = 42.0933333333333;
x51.lo = 85.7466666666667; x51.up = 99.28;
x52.lo = 6.28; x52.up = 6.59333333333333;
x53.lo = 53.4333333333333; x53.up = 61.8666666666667;
x54.lo = 48.6133333333333; x54.up = 56.2866666666667;
x55.lo = 33.9533333333333; x55.up = 41.5;
x56.lo = 53.9666666666667; x56.up = 62.4933333333333;
x57.lo = 77.0533333333333; x57.up = 80.9066666666667;
x58.lo = 24.9066666666667; x58.up = 26.1466666666667;
x59.lo = 36.1866666666667; x59.up = 38;
x60.lo = 56.3133333333333; x60.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 = 0.5323080366;
x219.up = 0.5323080366;
x220.up = 0.918715169866666;
x221.up = 0.918715169866666;
x222.up = 0.918715169866666;
x223.up = 1.021726146;
x224.up = 1.021726146;
x225.up = 1.021726146;
x226.up = 1.0706790744;
x227.up = 1.0706790744;
x228.up = 1.0706790744;
x229.up = 7.32543671346667;
x230.up = 7.32543671346667;
x231.up = 7.32543671346667;
x232.up = 15.2453990736;
x233.up = 15.2453990736;
x234.up = 15.2453990736;
x235.up = 1.28061192466667;
x236.up = 1.28061192466667;
x237.up = 1.28061192466667;
x238.up = 15.8815166933333;
x239.up = 15.8815166933333;
x240.up = 15.8815166933333;
x241.up = 15.2472806811333;
x242.up = 15.2472806811333;
x243.up = 15.2472806811333;
x244.up = 12.029055125;
x245.up = 12.029055125;
x246.up = 12.029055125;
x247.up = 15.9672360214667;
x248.up = 15.9672360214667;
x249.up = 15.9672360214667;
x250.up = 15.3736631157333;
x251.up = 15.3736631157333;
x252.up = 15.3736631157333;
x253.up = 6.2237284564;
x254.up = 6.2237284564;
x255.up = 6.2237284564;
x256.up = 8.85892556;
x257.up = 8.85892556;
x258.up = 8.85892556;
x259.up = 17.2437830768;
x260.up = 17.2437830768;
x261.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