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Instance sfacloc2_4_95
Probabilistic Facility Location and Assignment with Random Demand (given by 5000 scenarios), where 4 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 0.95.
| Formatsⓘ | ams gms mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 14.29917731 (ANTIGONE) 14.29917731 (BARON) 14.29917733 (COUENNE) 14.29917733 (LINDO) 14.29917733 (SCIP) 0.93822471 (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_4_95_5000.nl from François Margot stochastic instances collection |
| Applicationⓘ | Facility Location |
| Added to libraryⓘ | 12 Aug 2014 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 340 |
| #Binary Variablesⓘ | 69 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 128 |
| #Nonlinear Binary Variablesⓘ | 60 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 15 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 445 |
| #Linear Constraintsⓘ | 385 |
| #Quadratic Constraintsⓘ | 28 |
| #Polynomial Constraintsⓘ | 32 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 1124 |
| #Nonlinear Nonzeros in Jacobianⓘ | 152 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 248 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 0 |
| #Blocks in Hessian of Lagrangianⓘ | 36 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 2 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 9 |
| Average blocksize in Hessian of Lagrangianⓘ | 3.555556 |
| #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
* 446 76 306 64 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 341 272 69 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1140 988 152 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,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,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115,b116
,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128,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,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271,x272
,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284,x285
,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297,x298
,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310,x311
,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324
,x325,x326,x327,x328,x329,x330,x331,b332,b333,b334,b335,b336,b337
,b338,b339,b340,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,x129,x130,x131,x132,x133,x134
,x135,x136,x137,x138,x139,x140,x141,x142,x143,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,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271,x272
,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284,x285
,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297,x298
,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310,x311
,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324
,x325,x326,x327,x328,x329,x330,x331;
Binary Variables 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,b106,b107,b108,b109,b110,b111,b112
,b113,b114,b115,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125
,b126,b127,b128,b332,b333,b334,b335,b336,b337,b338,b339,b340;
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;
e1.. x129 + x130 + x131 + x132 + x133 + x134 + x135 + x136 + x137 + x138
+ x139 + x140 + x141 + x142 + x143 - objvar =E= 0;
e2.. (-1.01*x1*b69) - 1.01*b69*x1 + x272 =G= 0;
e3.. (-1.01*x2*b70) - 1.01*b70*x2 + x273 =G= 0;
e4.. (-1.01*x3*b71) - 1.01*b71*x3 + x274 =G= 0;
e5.. (-1.01*x4*b72) - 1.01*b72*x4 + x275 =G= 0;
e6.. (-2.00666666666667*x5*b73) - 2.00666666666667*b73*x5 + x276 =G= 0;
e7.. (-2.00666666666667*x6*b74) - 2.00666666666667*b74*x6 + x277 =G= 0;
e8.. (-2.00666666666667*x7*b75) - 2.00666666666667*b75*x7 + x278 =G= 0;
e9.. (-2.00666666666667*x8*b76) - 2.00666666666667*b76*x8 + x279 =G= 0;
e10.. (-2.38*x9*b77) - 2.38*b77*x9 + x280 =G= 0;
e11.. (-2.38*x10*b78) - 2.38*b78*x10 + x281 =G= 0;
e12.. (-2.38*x11*b79) - 2.38*b79*x11 + x282 =G= 0;
e13.. (-2.38*x12*b80) - 2.38*b80*x12 + x283 =G= 0;
e14.. -x61*x13*b81 + x284 =G= 0;
e15.. -x61*x14*b82 + x285 =G= 0;
e16.. -x61*x15*b83 + x286 =G= 0;
e17.. -x61*x16*b84 + x287 =G= 0;
e18.. -x62*x17*b85 + x288 =G= 0;
e19.. -x62*x18*b86 + x289 =G= 0;
e20.. -x62*x19*b87 + x290 =G= 0;
e21.. -x62*x20*b88 + x291 =G= 0;
e22.. -x63*x21*b89 + x292 =G= 0;
e23.. -x63*x22*b90 + x293 =G= 0;
e24.. -x63*x23*b91 + x294 =G= 0;
e25.. -x63*x24*b92 + x295 =G= 0;
e26.. (-3.29666666666667*x25*b93) - 3.29666666666667*b93*x25 + x296 =G= 0;
e27.. (-3.29666666666667*x26*b94) - 3.29666666666667*b94*x26 + x297 =G= 0;
e28.. (-3.29666666666667*x27*b95) - 3.29666666666667*b95*x27 + x298 =G= 0;
e29.. (-3.29666666666667*x28*b96) - 3.29666666666667*b96*x28 + x299 =G= 0;
e30.. -x64*x29*b97 + x300 =G= 0;
e31.. -x64*x30*b98 + x301 =G= 0;
e32.. -x64*x31*b99 + x302 =G= 0;
e33.. -x64*x32*b100 + x303 =G= 0;
e34.. -x65*x33*b101 + x304 =G= 0;
e35.. -x65*x34*b102 + x305 =G= 0;
e36.. -x65*x35*b103 + x306 =G= 0;
e37.. -x65*x36*b104 + x307 =G= 0;
e38.. -x66*x37*b105 + x308 =G= 0;
e39.. -x66*x38*b106 + x309 =G= 0;
e40.. -x66*x39*b107 + x310 =G= 0;
e41.. -x66*x40*b108 + x311 =G= 0;
e42.. -x67*x41*b109 + x312 =G= 0;
e43.. -x67*x42*b110 + x313 =G= 0;
e44.. -x67*x43*b111 + x314 =G= 0;
e45.. -x67*x44*b112 + x315 =G= 0;
e46.. (-40.4533333333333*x45*b113) - 40.4533333333333*b113*x45 + x316 =G= 0;
e47.. (-40.4533333333333*x46*b114) - 40.4533333333333*b114*x46 + x317 =G= 0;
e48.. (-40.4533333333333*x47*b115) - 40.4533333333333*b115*x47 + x318 =G= 0;
e49.. (-40.4533333333333*x48*b116) - 40.4533333333333*b116*x48 + x319 =G= 0;
e50.. (-13.0733333333333*x49*b117) - 13.0733333333333*b117*x49 + x320 =G= 0;
e51.. (-13.0733333333333*x50*b118) - 13.0733333333333*b118*x50 + x321 =G= 0;
e52.. (-13.0733333333333*x51*b119) - 13.0733333333333*b119*x51 + x322 =G= 0;
e53.. (-13.0733333333333*x52*b120) - 13.0733333333333*b120*x52 + x323 =G= 0;
e54.. (-19*x53*b121) - 19*b121*x53 + x324 =G= 0;
e55.. (-19*x54*b122) - 19*b122*x54 + x325 =G= 0;
e56.. (-19*x55*b123) - 19*b123*x55 + x326 =G= 0;
e57.. (-19*x56*b124) - 19*b124*x56 + x327 =G= 0;
e58.. -x68*x57*b125 + x328 =G= 0;
e59.. -x68*x58*b126 + x329 =G= 0;
e60.. -x68*x59*b127 + x330 =G= 0;
e61.. -x68*x60*b128 + x331 =G= 0;
e62.. b69 + b70 + b71 + b72 =E= 1;
e63.. b73 + b74 + b75 + b76 =E= 1;
e64.. b77 + b78 + b79 + b80 =E= 1;
e65.. b81 + b82 + b83 + b84 =E= 1;
e66.. b85 + b86 + b87 + b88 =E= 1;
e67.. b89 + b90 + b91 + b92 =E= 1;
e68.. b93 + b94 + b95 + b96 =E= 1;
e69.. b97 + b98 + b99 + b100 =E= 1;
e70.. b101 + b102 + b103 + b104 =E= 1;
e71.. b105 + b106 + b107 + b108 =E= 1;
e72.. b109 + b110 + b111 + b112 =E= 1;
e73.. b113 + b114 + b115 + b116 =E= 1;
e74.. b117 + b118 + b119 + b120 =E= 1;
e75.. b121 + b122 + b123 + b124 =E= 1;
e76.. b125 + b126 + b127 + b128 =E= 1;
e77.. 2.02*b69 + 4.01333333333333*b73 + 4.76*b77 + 5.96*b81
+ 42.0933333333333*b85 + 99.28*b89 + 6.59333333333333*b93
+ 61.8666666666667*b97 + 56.2866666666667*b101 + 41.5*b105
+ 62.4933333333333*b109 + 80.9066666666667*b113 + 26.1466666666667*b117
+ 38*b121 + 62.24*b125 =L= 153.54;
e78.. 2.02*b70 + 4.01333333333333*b74 + 4.76*b78 + 5.96*b82
+ 42.0933333333333*b86 + 99.28*b90 + 6.59333333333333*b94
+ 61.8666666666667*b98 + 56.2866666666667*b102 + 41.5*b106
+ 62.4933333333333*b110 + 80.9066666666667*b114 + 26.1466666666667*b118
+ 38*b122 + 62.24*b126 =L= 153.54;
e79.. 2.02*b71 + 4.01333333333333*b75 + 4.76*b79 + 5.96*b83
+ 42.0933333333333*b87 + 99.28*b91 + 6.59333333333333*b95
+ 61.8666666666667*b99 + 56.2866666666667*b103 + 41.5*b107
+ 62.4933333333333*b111 + 80.9066666666667*b115 + 26.1466666666667*b119
+ 38*b123 + 62.24*b127 =L= 153.54;
e80.. 2.02*b72 + 4.01333333333333*b76 + 4.76*b80 + 5.96*b84
+ 42.0933333333333*b88 + 99.28*b92 + 6.59333333333333*b96
+ 61.8666666666667*b100 + 56.2866666666667*b104 + 41.5*b108
+ 62.4933333333333*b112 + 80.9066666666667*b116 + 26.1466666666667*b120
+ 38*b124 + 62.24*b128 =L= 153.54;
e81.. x144 + x152 =G= 0.29424122;
e82.. x145 + x153 =G= 0.29424122;
e83.. x146 + x154 =G= 0.29424122;
e84.. x147 + x155 =G= 0.29424122;
e85.. x144 + x156 =G= 0.29760193;
e86.. x145 + x157 =G= 0.29760193;
e87.. x146 + x158 =G= 0.29760193;
e88.. x147 + x159 =G= 0.29760193;
e89.. x144 + x160 =G= 0.35149534;
e90.. x145 + x161 =G= 0.35149534;
e91.. x146 + x162 =G= 0.35149534;
e92.. x147 + x163 =G= 0.35149534;
e93.. x144 + x164 =G= 0.30458283;
e94.. x145 + x165 =G= 0.30458283;
e95.. x146 + x166 =G= 0.30458283;
e96.. x147 + x167 =G= 0.30458283;
e97.. x144 + x168 =G= 0.29951066;
e98.. x145 + x169 =G= 0.29951066;
e99.. x146 + x170 =G= 0.29951066;
e100.. x147 + x171 =G= 0.29951066;
e101.. x144 + x172 =G= 0.30694357;
e102.. x145 + x173 =G= 0.30694357;
e103.. x146 + x174 =G= 0.30694357;
e104.. x147 + x175 =G= 0.30694357;
e105.. x144 + x176 =G= 0.33520661;
e106.. x145 + x177 =G= 0.33520661;
e107.. x146 + x178 =G= 0.33520661;
e108.. x147 + x179 =G= 0.33520661;
e109.. x144 + x180 =G= 0.3400071;
e110.. x145 + x181 =G= 0.3400071;
e111.. x146 + x182 =G= 0.3400071;
e112.. x147 + x183 =G= 0.3400071;
e113.. x144 + x184 =G= 0.35227087;
e114.. x145 + x185 =G= 0.35227087;
e115.. x146 + x186 =G= 0.35227087;
e116.. x147 + x187 =G= 0.35227087;
e117.. x144 + x188 =G= 0.34225726;
e118.. x145 + x189 =G= 0.34225726;
e119.. x146 + x190 =G= 0.34225726;
e120.. x147 + x191 =G= 0.34225726;
e121.. x144 + x192 =G= 0.32776566;
e122.. x145 + x193 =G= 0.32776566;
e123.. x146 + x194 =G= 0.32776566;
e124.. x147 + x195 =G= 0.32776566;
e125.. x144 + x196 =G= 0.30438256;
e126.. x145 + x197 =G= 0.30438256;
e127.. x146 + x198 =G= 0.30438256;
e128.. x147 + x199 =G= 0.30438256;
e129.. x144 + x200 =G= 0.28538336;
e130.. x145 + x201 =G= 0.28538336;
e131.. x146 + x202 =G= 0.28538336;
e132.. x147 + x203 =G= 0.28538336;
e133.. x144 + x204 =G= 0.27950575;
e134.. x145 + x205 =G= 0.27950575;
e135.. x146 + x206 =G= 0.27950575;
e136.. x147 + x207 =G= 0.27950575;
e137.. - x144 + x152 =G= -0.29424122;
e138.. - x145 + x153 =G= -0.29424122;
e139.. - x146 + x154 =G= -0.29424122;
e140.. - x147 + x155 =G= -0.29424122;
e141.. - x144 + x156 =G= -0.29760193;
e142.. - x145 + x157 =G= -0.29760193;
e143.. - x146 + x158 =G= -0.29760193;
e144.. - x147 + x159 =G= -0.29760193;
e145.. - x144 + x160 =G= -0.35149534;
e146.. - x145 + x161 =G= -0.35149534;
e147.. - x146 + x162 =G= -0.35149534;
e148.. - x147 + x163 =G= -0.35149534;
e149.. - x144 + x164 =G= -0.30458283;
e150.. - x145 + x165 =G= -0.30458283;
e151.. - x146 + x166 =G= -0.30458283;
e152.. - x147 + x167 =G= -0.30458283;
e153.. - x144 + x168 =G= -0.29951066;
e154.. - x145 + x169 =G= -0.29951066;
e155.. - x146 + x170 =G= -0.29951066;
e156.. - x147 + x171 =G= -0.29951066;
e157.. - x144 + x172 =G= -0.30694357;
e158.. - x145 + x173 =G= -0.30694357;
e159.. - x146 + x174 =G= -0.30694357;
e160.. - x147 + x175 =G= -0.30694357;
e161.. - x144 + x176 =G= -0.33520661;
e162.. - x145 + x177 =G= -0.33520661;
e163.. - x146 + x178 =G= -0.33520661;
e164.. - x147 + x179 =G= -0.33520661;
e165.. - x144 + x180 =G= -0.3400071;
e166.. - x145 + x181 =G= -0.3400071;
e167.. - x146 + x182 =G= -0.3400071;
e168.. - x147 + x183 =G= -0.3400071;
e169.. - x144 + x188 =G= -0.34225726;
e170.. - x145 + x189 =G= -0.34225726;
e171.. - x146 + x190 =G= -0.34225726;
e172.. - x147 + x191 =G= -0.34225726;
e173.. - x144 + x192 =G= -0.32776566;
e174.. - x145 + x193 =G= -0.32776566;
e175.. - x146 + x194 =G= -0.32776566;
e176.. - x147 + x195 =G= -0.32776566;
e177.. - x144 + x196 =G= -0.30438256;
e178.. - x145 + x197 =G= -0.30438256;
e179.. - x146 + x198 =G= -0.30438256;
e180.. - x147 + x199 =G= -0.30438256;
e181.. - x144 + x200 =G= -0.28538336;
e182.. - x145 + x201 =G= -0.28538336;
e183.. - x146 + x202 =G= -0.28538336;
e184.. - x147 + x203 =G= -0.28538336;
e185.. - x144 + x204 =G= -0.27950575;
e186.. - x145 + x205 =G= -0.27950575;
e187.. - x146 + x206 =G= -0.27950575;
e188.. - x147 + x207 =G= -0.27950575;
e189.. - x144 + x208 =G= -0.25788969;
e190.. - x145 + x209 =G= -0.25788969;
e191.. - x146 + x210 =G= -0.25788969;
e192.. - x147 + x211 =G= -0.25788969;
e193.. x148 + x216 =G= -0.9536939;
e194.. x149 + x217 =G= -0.9536939;
e195.. x150 + x218 =G= -0.9536939;
e196.. x151 + x219 =G= -0.9536939;
e197.. x148 + x220 =G= -0.9004898;
e198.. x149 + x221 =G= -0.9004898;
e199.. x150 + x222 =G= -0.9004898;
e200.. x151 + x223 =G= -0.9004898;
e201.. x148 + x224 =G= -0.9114032;
e202.. x149 + x225 =G= -0.9114032;
e203.. x150 + x226 =G= -0.9114032;
e204.. x151 + x227 =G= -0.9114032;
e205.. x148 + x228 =G= -0.90071532;
e206.. x149 + x229 =G= -0.90071532;
e207.. x150 + x230 =G= -0.90071532;
e208.. x151 + x231 =G= -0.90071532;
e209.. x148 + x232 =G= -0.88043054;
e210.. x149 + x233 =G= -0.88043054;
e211.. x150 + x234 =G= -0.88043054;
e212.. x151 + x235 =G= -0.88043054;
e213.. x148 + x236 =G= -0.8680249;
e214.. x149 + x237 =G= -0.8680249;
e215.. x150 + x238 =G= -0.8680249;
e216.. x151 + x239 =G= -0.8680249;
e217.. x148 + x240 =G= -0.81034814;
e218.. x149 + x241 =G= -0.81034814;
e219.. x150 + x242 =G= -0.81034814;
e220.. x151 + x243 =G= -0.81034814;
e221.. x148 + x244 =G= -0.80843127;
e222.. x149 + x245 =G= -0.80843127;
e223.. x150 + x246 =G= -0.80843127;
e224.. x151 + x247 =G= -0.80843127;
e225.. x148 + x248 =G= -0.7794471;
e226.. x149 + x249 =G= -0.7794471;
e227.. x150 + x250 =G= -0.7794471;
e228.. x151 + x251 =G= -0.7794471;
e229.. x148 + x252 =G= -0.79930922;
e230.. x149 + x253 =G= -0.79930922;
e231.. x150 + x254 =G= -0.79930922;
e232.. x151 + x255 =G= -0.79930922;
e233.. x148 + x256 =G= -0.84280733;
e234.. x149 + x257 =G= -0.84280733;
e235.. x150 + x258 =G= -0.84280733;
e236.. x151 + x259 =G= -0.84280733;
e237.. x148 + x260 =G= -0.81379236;
e238.. x149 + x261 =G= -0.81379236;
e239.. x150 + x262 =G= -0.81379236;
e240.. x151 + x263 =G= -0.81379236;
e241.. x148 + x264 =G= -0.82457178;
e242.. x149 + x265 =G= -0.82457178;
e243.. x150 + x266 =G= -0.82457178;
e244.. x151 + x267 =G= -0.82457178;
e245.. x148 + x268 =G= -0.80226439;
e246.. x149 + x269 =G= -0.80226439;
e247.. x150 + x270 =G= -0.80226439;
e248.. x151 + x271 =G= -0.80226439;
e249.. - x148 + x212 =G= 0.98493628;
e250.. - x149 + x213 =G= 0.98493628;
e251.. - x150 + x214 =G= 0.98493628;
e252.. - x151 + x215 =G= 0.98493628;
e253.. - x148 + x216 =G= 0.9536939;
e254.. - x149 + x217 =G= 0.9536939;
e255.. - x150 + x218 =G= 0.9536939;
e256.. - x151 + x219 =G= 0.9536939;
e257.. - x148 + x220 =G= 0.9004898;
e258.. - x149 + x221 =G= 0.9004898;
e259.. - x150 + x222 =G= 0.9004898;
e260.. - x151 + x223 =G= 0.9004898;
e261.. - x148 + x224 =G= 0.9114032;
e262.. - x149 + x225 =G= 0.9114032;
e263.. - x150 + x226 =G= 0.9114032;
e264.. - x151 + x227 =G= 0.9114032;
e265.. - x148 + x228 =G= 0.90071532;
e266.. - x149 + x229 =G= 0.90071532;
e267.. - x150 + x230 =G= 0.90071532;
e268.. - x151 + x231 =G= 0.90071532;
e269.. - x148 + x232 =G= 0.88043054;
e270.. - x149 + x233 =G= 0.88043054;
e271.. - x150 + x234 =G= 0.88043054;
e272.. - x151 + x235 =G= 0.88043054;
e273.. - x148 + x236 =G= 0.8680249;
e274.. - x149 + x237 =G= 0.8680249;
e275.. - x150 + x238 =G= 0.8680249;
e276.. - x151 + x239 =G= 0.8680249;
e277.. - x148 + x240 =G= 0.81034814;
e278.. - x149 + x241 =G= 0.81034814;
e279.. - x150 + x242 =G= 0.81034814;
e280.. - x151 + x243 =G= 0.81034814;
e281.. - x148 + x244 =G= 0.80843127;
e282.. - x149 + x245 =G= 0.80843127;
e283.. - x150 + x246 =G= 0.80843127;
e284.. - x151 + x247 =G= 0.80843127;
e285.. - x148 + x252 =G= 0.79930922;
e286.. - x149 + x253 =G= 0.79930922;
e287.. - x150 + x254 =G= 0.79930922;
e288.. - x151 + x255 =G= 0.79930922;
e289.. - x148 + x256 =G= 0.84280733;
e290.. - x149 + x257 =G= 0.84280733;
e291.. - x150 + x258 =G= 0.84280733;
e292.. - x151 + x259 =G= 0.84280733;
e293.. - x148 + x260 =G= 0.81379236;
e294.. - x149 + x261 =G= 0.81379236;
e295.. - x150 + x262 =G= 0.81379236;
e296.. - x151 + x263 =G= 0.81379236;
e297.. - x148 + x264 =G= 0.82457178;
e298.. - x149 + x265 =G= 0.82457178;
e299.. - x150 + x266 =G= 0.82457178;
e300.. - x151 + x267 =G= 0.82457178;
e301.. - x148 + x268 =G= 0.80226439;
e302.. - x149 + x269 =G= 0.80226439;
e303.. - x150 + x270 =G= 0.80226439;
e304.. - x151 + x271 =G= 0.80226439;
e305.. x1 - x152 - x212 =E= 0;
e306.. x2 - x153 - x213 =E= 0;
e307.. x3 - x154 - x214 =E= 0;
e308.. x4 - x155 - x215 =E= 0;
e309.. x5 - x156 - x216 =E= 0;
e310.. x6 - x157 - x217 =E= 0;
e311.. x7 - x158 - x218 =E= 0;
e312.. x8 - x159 - x219 =E= 0;
e313.. x9 - x160 - x220 =E= 0;
e314.. x10 - x161 - x221 =E= 0;
e315.. x11 - x162 - x222 =E= 0;
e316.. x12 - x163 - x223 =E= 0;
e317.. x13 - x164 - x224 =E= 0;
e318.. x14 - x165 - x225 =E= 0;
e319.. x15 - x166 - x226 =E= 0;
e320.. x16 - x167 - x227 =E= 0;
e321.. x17 - x168 - x228 =E= 0;
e322.. x18 - x169 - x229 =E= 0;
e323.. x19 - x170 - x230 =E= 0;
e324.. x20 - x171 - x231 =E= 0;
e325.. x21 - x172 - x232 =E= 0;
e326.. x22 - x173 - x233 =E= 0;
e327.. x23 - x174 - x234 =E= 0;
e328.. x24 - x175 - x235 =E= 0;
e329.. x25 - x176 - x236 =E= 0;
e330.. x26 - x177 - x237 =E= 0;
e331.. x27 - x178 - x238 =E= 0;
e332.. x28 - x179 - x239 =E= 0;
e333.. x29 - x180 - x240 =E= 0;
e334.. x30 - x181 - x241 =E= 0;
e335.. x31 - x182 - x242 =E= 0;
e336.. x32 - x183 - x243 =E= 0;
e337.. x33 - x184 - x244 =E= 0;
e338.. x34 - x185 - x245 =E= 0;
e339.. x35 - x186 - x246 =E= 0;
e340.. x36 - x187 - x247 =E= 0;
e341.. x37 - x188 - x248 =E= 0;
e342.. x38 - x189 - x249 =E= 0;
e343.. x39 - x190 - x250 =E= 0;
e344.. x40 - x191 - x251 =E= 0;
e345.. x41 - x192 - x252 =E= 0;
e346.. x42 - x193 - x253 =E= 0;
e347.. x43 - x194 - x254 =E= 0;
e348.. x44 - x195 - x255 =E= 0;
e349.. x45 - x196 - x256 =E= 0;
e350.. x46 - x197 - x257 =E= 0;
e351.. x47 - x198 - x258 =E= 0;
e352.. x48 - x199 - x259 =E= 0;
e353.. x49 - x200 - x260 =E= 0;
e354.. x50 - x201 - x261 =E= 0;
e355.. x51 - x202 - x262 =E= 0;
e356.. x52 - x203 - x263 =E= 0;
e357.. x53 - x204 - x264 =E= 0;
e358.. x54 - x205 - x265 =E= 0;
e359.. x55 - x206 - x266 =E= 0;
e360.. x56 - x207 - x267 =E= 0;
e361.. x57 - x208 - x268 =E= 0;
e362.. x58 - x209 - x269 =E= 0;
e363.. x59 - x210 - x270 =E= 0;
e364.. x60 - x211 - x271 =E= 0;
e365.. b333 + b334 =G= 1;
e366.. b332 + b334 =G= 1;
e367.. b332 + b333 =G= 1;
e368.. b334 + b336 =G= 1;
e369.. b334 + b335 =G= 1;
e370.. b333 + b336 =G= 1;
e371.. b333 + b335 =G= 1;
e372.. b332 + b336 =G= 1;
e373.. b332 + b335 =G= 1;
e374.. x61 - 5.96*b332 =G= 0;
e375.. x62 - 42.0933333333333*b333 =G= 0;
e376.. x63 - 99.28*b334 =G= 0;
e377.. x64 - 61.8666666666667*b335 =G= 0;
e378.. x65 - 56.2866666666667*b336 =G= 0;
e379.. x66 - 39.6133333333333*b337 =G= 0;
e380.. x66 - 41.5*b338 =G= 0;
e381.. x67 - 62.4933333333333*b339 =G= 0;
e382.. x68 - 62.24*b340 =G= 0;
e383.. - x129 + x272 =L= 0;
e384.. - x129 + x273 =L= 0;
e385.. - x129 + x274 =L= 0;
e386.. - x129 + x275 =L= 0;
e387.. - x130 + x276 =L= 0;
e388.. - x130 + x277 =L= 0;
e389.. - x130 + x278 =L= 0;
e390.. - x130 + x279 =L= 0;
e391.. - x131 + x280 =L= 0;
e392.. - x131 + x281 =L= 0;
e393.. - x131 + x282 =L= 0;
e394.. - x131 + x283 =L= 0;
e395.. - x132 + x284 =L= 0;
e396.. - x132 + x285 =L= 0;
e397.. - x132 + x286 =L= 0;
e398.. - x132 + x287 =L= 0;
e399.. - x133 + x288 =L= 0;
e400.. - x133 + x289 =L= 0;
e401.. - x133 + x290 =L= 0;
e402.. - x133 + x291 =L= 0;
e403.. - x134 + x292 =L= 0;
e404.. - x134 + x293 =L= 0;
e405.. - x134 + x294 =L= 0;
e406.. - x134 + x295 =L= 0;
e407.. - x135 + x296 =L= 0;
e408.. - x135 + x297 =L= 0;
e409.. - x135 + x298 =L= 0;
e410.. - x135 + x299 =L= 0;
e411.. - x136 + x300 =L= 0;
e412.. - x136 + x301 =L= 0;
e413.. - x136 + x302 =L= 0;
e414.. - x136 + x303 =L= 0;
e415.. - x137 + x304 =L= 0;
e416.. - x137 + x305 =L= 0;
e417.. - x137 + x306 =L= 0;
e418.. - x137 + x307 =L= 0;
e419.. - x138 + x308 =L= 0;
e420.. - x138 + x309 =L= 0;
e421.. - x138 + x310 =L= 0;
e422.. - x138 + x311 =L= 0;
e423.. - x139 + x312 =L= 0;
e424.. - x139 + x313 =L= 0;
e425.. - x139 + x314 =L= 0;
e426.. - x139 + x315 =L= 0;
e427.. - x140 + x316 =L= 0;
e428.. - x140 + x317 =L= 0;
e429.. - x140 + x318 =L= 0;
e430.. - x140 + x319 =L= 0;
e431.. - x141 + x320 =L= 0;
e432.. - x141 + x321 =L= 0;
e433.. - x141 + x322 =L= 0;
e434.. - x141 + x323 =L= 0;
e435.. - x142 + x324 =L= 0;
e436.. - x142 + x325 =L= 0;
e437.. - x142 + x326 =L= 0;
e438.. - x142 + x327 =L= 0;
e439.. - x143 + x328 =L= 0;
e440.. - x143 + x329 =L= 0;
e441.. - x143 + x330 =L= 0;
e442.. - x143 + x331 =L= 0;
e443.. b337 - b338 =G= 0;
e444.. x148 - x149 =G= 0;
e445.. x149 - x150 =G= 0;
e446.. x150 - x151 =G= 0;
* set non-default bounds
x1.up = 0.26351883;
x2.up = 0.26351883;
x3.up = 0.26351883;
x4.up = 0.26351883;
x5.up = 0.22891574;
x6.up = 0.22891574;
x7.up = 0.22891574;
x8.up = 0.22891574;
x9.up = 0.21464835;
x10.up = 0.21464835;
x11.up = 0.21464835;
x12.up = 0.21464835;
x13.up = 0.17964414;
x14.up = 0.17964414;
x15.up = 0.17964414;
x16.up = 0.17964414;
x17.up = 0.17402843;
x18.up = 0.17402843;
x19.up = 0.17402843;
x20.up = 0.17402843;
x21.up = 0.15355962;
x22.up = 0.15355962;
x23.up = 0.15355962;
x24.up = 0.15355962;
x25.up = 0.1942283;
x26.up = 0.1942283;
x27.up = 0.1942283;
x28.up = 0.1942283;
x29.up = 0.25670555;
x30.up = 0.25670555;
x31.up = 0.25670555;
x32.up = 0.25670555;
x33.up = 0.27088619;
x34.up = 0.27088619;
x35.up = 0.27088619;
x36.up = 0.27088619;
x37.up = 0.28985675;
x38.up = 0.28985675;
x39.up = 0.28985675;
x40.up = 0.28985675;
x41.up = 0.25550303;
x42.up = 0.25550303;
x43.up = 0.25550303;
x44.up = 0.25550303;
x45.up = 0.19001726;
x46.up = 0.19001726;
x47.up = 0.19001726;
x48.up = 0.19001726;
x49.up = 0.23803143;
x50.up = 0.23803143;
x51.up = 0.23803143;
x52.up = 0.23803143;
x53.up = 0.23312962;
x54.up = 0.23312962;
x55.up = 0.23312962;
x56.up = 0.23312962;
x57.up = 0.27705307;
x58.up = 0.27705307;
x59.up = 0.27705307;
x60.up = 0.27705307;
x61.lo = 5.68; x61.up = 5.96;
x62.lo = 40.18; x62.up = 42.0933333333333;
x63.lo = 94.7666666666667; x63.up = 99.28;
x64.lo = 59.0533333333333; x64.up = 61.8666666666667;
x65.lo = 53.7333333333333; x65.up = 56.2866666666667;
x66.lo = 37.7266666666667; x66.up = 41.5;
x67.lo = 59.6466666666667; x67.up = 62.4933333333333;
x68.lo = 59.2733333333333; x68.up = 62.24;
x129.up = 0.5323080366;
x130.up = 0.918715169866666;
x131.up = 1.021726146;
x132.up = 1.0706790744;
x133.up = 7.32543671346667;
x134.up = 15.2453990736;
x135.up = 1.28061192466667;
x136.up = 15.8815166933333;
x137.up = 15.2472806811333;
x138.up = 12.029055125;
x139.up = 15.9672360214667;
x140.up = 15.3736631157333;
x141.up = 6.2237284564;
x142.up = 8.85892556;
x143.up = 17.2437830768;
x144.lo = 0.25788969; x144.up = 0.35227087;
x145.lo = 0.25788969; x145.up = 0.35227087;
x146.lo = 0.25788969; x146.up = 0.35227087;
x147.lo = 0.25788969; x147.up = 0.35227087;
x148.lo = -0.98493628; x148.up = -0.7794471;
x149.lo = -0.98493628; x149.up = -0.7794471;
x150.lo = -0.98493628; x150.up = -0.7794471;
x151.lo = -0.98493628; x151.up = -0.7794471;
x152.up = 0.0580296499999999;
x153.up = 0.0580296499999999;
x154.up = 0.0580296499999999;
x155.up = 0.0580296499999999;
x156.up = 0.0546689399999999;
x157.up = 0.0546689399999999;
x158.up = 0.0546689399999999;
x159.up = 0.0546689399999999;
x160.up = 0.09360565;
x161.up = 0.09360565;
x162.up = 0.09360565;
x163.up = 0.09360565;
x164.up = 0.0476880399999999;
x165.up = 0.0476880399999999;
x166.up = 0.0476880399999999;
x167.up = 0.0476880399999999;
x168.up = 0.05276021;
x169.up = 0.05276021;
x170.up = 0.05276021;
x171.up = 0.05276021;
x172.up = 0.04905388;
x173.up = 0.04905388;
x174.up = 0.04905388;
x175.up = 0.04905388;
x176.up = 0.07731692;
x177.up = 0.07731692;
x178.up = 0.07731692;
x179.up = 0.07731692;
x180.up = 0.08211741;
x181.up = 0.08211741;
x182.up = 0.08211741;
x183.up = 0.08211741;
x184.up = 0.09438118;
x185.up = 0.09438118;
x186.up = 0.09438118;
x187.up = 0.09438118;
x188.up = 0.08436757;
x189.up = 0.08436757;
x190.up = 0.08436757;
x191.up = 0.08436757;
x192.up = 0.06987597;
x193.up = 0.06987597;
x194.up = 0.06987597;
x195.up = 0.06987597;
x196.up = 0.04788831;
x197.up = 0.04788831;
x198.up = 0.04788831;
x199.up = 0.04788831;
x200.up = 0.0668875099999999;
x201.up = 0.0668875099999999;
x202.up = 0.0668875099999999;
x203.up = 0.0668875099999999;
x204.up = 0.07276512;
x205.up = 0.07276512;
x206.up = 0.07276512;
x207.up = 0.07276512;
x208.up = 0.09438118;
x209.up = 0.09438118;
x210.up = 0.09438118;
x211.up = 0.09438118;
x212.up = 0.20548918;
x213.up = 0.20548918;
x214.up = 0.20548918;
x215.up = 0.20548918;
x216.up = 0.1742468;
x217.up = 0.1742468;
x218.up = 0.1742468;
x219.up = 0.1742468;
x220.up = 0.1210427;
x221.up = 0.1210427;
x222.up = 0.1210427;
x223.up = 0.1210427;
x224.up = 0.1319561;
x225.up = 0.1319561;
x226.up = 0.1319561;
x227.up = 0.1319561;
x228.up = 0.12126822;
x229.up = 0.12126822;
x230.up = 0.12126822;
x231.up = 0.12126822;
x232.up = 0.10450574;
x233.up = 0.10450574;
x234.up = 0.10450574;
x235.up = 0.10450574;
x236.up = 0.11691138;
x237.up = 0.11691138;
x238.up = 0.11691138;
x239.up = 0.11691138;
x240.up = 0.17458814;
x241.up = 0.17458814;
x242.up = 0.17458814;
x243.up = 0.17458814;
x244.up = 0.17650501;
x245.up = 0.17650501;
x246.up = 0.17650501;
x247.up = 0.17650501;
x248.up = 0.20548918;
x249.up = 0.20548918;
x250.up = 0.20548918;
x251.up = 0.20548918;
x252.up = 0.18562706;
x253.up = 0.18562706;
x254.up = 0.18562706;
x255.up = 0.18562706;
x256.up = 0.14212895;
x257.up = 0.14212895;
x258.up = 0.14212895;
x259.up = 0.14212895;
x260.up = 0.17114392;
x261.up = 0.17114392;
x262.up = 0.17114392;
x263.up = 0.17114392;
x264.up = 0.1603645;
x265.up = 0.1603645;
x266.up = 0.1603645;
x267.up = 0.1603645;
x268.up = 0.18267189;
x269.up = 0.18267189;
x270.up = 0.18267189;
x271.up = 0.18267189;
x272.up = 0.5323080366;
x273.up = 0.5323080366;
x274.up = 0.5323080366;
x275.up = 0.5323080366;
x276.up = 0.918715169866666;
x277.up = 0.918715169866666;
x278.up = 0.918715169866666;
x279.up = 0.918715169866666;
x280.up = 1.021726146;
x281.up = 1.021726146;
x282.up = 1.021726146;
x283.up = 1.021726146;
x284.up = 1.0706790744;
x285.up = 1.0706790744;
x286.up = 1.0706790744;
x287.up = 1.0706790744;
x288.up = 7.32543671346667;
x289.up = 7.32543671346667;
x290.up = 7.32543671346667;
x291.up = 7.32543671346667;
x292.up = 15.2453990736;
x293.up = 15.2453990736;
x294.up = 15.2453990736;
x295.up = 15.2453990736;
x296.up = 1.28061192466667;
x297.up = 1.28061192466667;
x298.up = 1.28061192466667;
x299.up = 1.28061192466667;
x300.up = 15.8815166933333;
x301.up = 15.8815166933333;
x302.up = 15.8815166933333;
x303.up = 15.8815166933333;
x304.up = 15.2472806811333;
x305.up = 15.2472806811333;
x306.up = 15.2472806811333;
x307.up = 15.2472806811333;
x308.up = 12.029055125;
x309.up = 12.029055125;
x310.up = 12.029055125;
x311.up = 12.029055125;
x312.up = 15.9672360214667;
x313.up = 15.9672360214667;
x314.up = 15.9672360214667;
x315.up = 15.9672360214667;
x316.up = 15.3736631157333;
x317.up = 15.3736631157333;
x318.up = 15.3736631157333;
x319.up = 15.3736631157333;
x320.up = 6.2237284564;
x321.up = 6.2237284564;
x322.up = 6.2237284564;
x323.up = 6.2237284564;
x324.up = 8.85892556;
x325.up = 8.85892556;
x326.up = 8.85892556;
x327.up = 8.85892556;
x328.up = 17.2437830768;
x329.up = 17.2437830768;
x330.up = 17.2437830768;
x331.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