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Instance sfacloc2_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 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ⓘ | 18.58371508 (ANTIGONE) 18.59410918 (BARON) 18.59410919 (COUENNE) 18.59410919 (LINDO) 18.59410919 (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_2_90_5000.nl from François Margot stochastic instances collection |
| Applicationⓘ | Facility Location |
| Added to libraryⓘ | 12 Aug 2014 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 214 |
| #Binary Variablesⓘ | 60 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 75 |
| #Nonlinear Binary Variablesⓘ | 30 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 15 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 393 |
| #Linear Constraintsⓘ | 363 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 30 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 988 |
| #Nonlinear Nonzeros in Jacobianⓘ | 90 |
| #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+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
* 394 46 316 32 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 215 155 60 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 1004 914 90 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,b46,b47,b48,b49,b50,b51,b52,b53
,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69,b70
,b71,b72,b73,b74,b75,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,b185,b186,b187,b188,b189,b190,b191,b192,b193,b194
,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206,b207
,b208,b209,b210,b211,b212,b213,b214,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,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,x170,x171,x172,x173,x174,x175,x176,x177
,x178,x179,x180,x181,x182,x183,x184;
Binary Variables b46,b47,b48,b49,b50,b51,b52,b53,b54,b55,b56,b57,b58,b59,b60
,b61,b62,b63,b64,b65,b66,b67,b68,b69,b70,b71,b72,b73,b74,b75,b185
,b186,b187,b188,b189,b190,b191,b192,b193,b194,b195,b196,b197,b198
,b199,b200,b201,b202,b203,b204,b205,b206,b207,b208,b209,b210,b211
,b212,b213,b214;
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;
e1.. x76 + x77 + x78 + x79 + x80 + x81 + x82 + x83 + x84 + x85 + x86 + x87
+ x88 + x89 + x90 - objvar =E= 0;
e2.. -x31*x1*b46 + x155 =G= 0;
e3.. -x31*x2*b47 + x156 =G= 0;
e4.. -x32*x3*b48 + x157 =G= 0;
e5.. -x32*x4*b49 + x158 =G= 0;
e6.. -x33*x5*b50 + x159 =G= 0;
e7.. -x33*x6*b51 + x160 =G= 0;
e8.. -x34*x7*b52 + x161 =G= 0;
e9.. -x34*x8*b53 + x162 =G= 0;
e10.. -x35*x9*b54 + x163 =G= 0;
e11.. -x35*x10*b55 + x164 =G= 0;
e12.. -x36*x11*b56 + x165 =G= 0;
e13.. -x36*x12*b57 + x166 =G= 0;
e14.. -x37*x13*b58 + x167 =G= 0;
e15.. -x37*x14*b59 + x168 =G= 0;
e16.. -x38*x15*b60 + x169 =G= 0;
e17.. -x38*x16*b61 + x170 =G= 0;
e18.. -x39*x17*b62 + x171 =G= 0;
e19.. -x39*x18*b63 + x172 =G= 0;
e20.. -x40*x19*b64 + x173 =G= 0;
e21.. -x40*x20*b65 + x174 =G= 0;
e22.. -x41*x21*b66 + x175 =G= 0;
e23.. -x41*x22*b67 + x176 =G= 0;
e24.. -x42*x23*b68 + x177 =G= 0;
e25.. -x42*x24*b69 + x178 =G= 0;
e26.. -x43*x25*b70 + x179 =G= 0;
e27.. -x43*x26*b71 + x180 =G= 0;
e28.. -x44*x27*b72 + x181 =G= 0;
e29.. -x44*x28*b73 + x182 =G= 0;
e30.. -x45*x29*b74 + x183 =G= 0;
e31.. -x45*x30*b75 + x184 =G= 0;
e32.. b46 + b47 =E= 1;
e33.. b48 + b49 =E= 1;
e34.. b50 + b51 =E= 1;
e35.. b52 + b53 =E= 1;
e36.. b54 + b55 =E= 1;
e37.. b56 + b57 =E= 1;
e38.. b58 + b59 =E= 1;
e39.. b60 + b61 =E= 1;
e40.. b62 + b63 =E= 1;
e41.. b64 + b65 =E= 1;
e42.. b66 + b67 =E= 1;
e43.. b68 + b69 =E= 1;
e44.. b70 + b71 =E= 1;
e45.. b72 + b73 =E= 1;
e46.. b74 + b75 =E= 1;
e47.. 2.02*b46 + 4.01333333333333*b48 + 4.76*b50 + 5.96*b52
+ 42.0933333333333*b54 + 99.28*b56 + 6.59333333333333*b58
+ 61.8666666666667*b60 + 56.2866666666667*b62 + 41.5*b64
+ 62.4933333333333*b66 + 80.9066666666667*b68 + 26.1466666666667*b70
+ 38*b72 + 62.24*b74 =L= 302.08;
e48.. 2.02*b47 + 4.01333333333333*b49 + 4.76*b51 + 5.96*b53
+ 42.0933333333333*b55 + 99.28*b57 + 6.59333333333333*b59
+ 61.8666666666667*b61 + 56.2866666666667*b63 + 41.5*b65
+ 62.4933333333333*b67 + 80.9066666666667*b69 + 26.1466666666667*b71
+ 38*b73 + 62.24*b75 =L= 302.08;
e49.. x91 + x95 =G= 0.29424122;
e50.. x92 + x96 =G= 0.29424122;
e51.. x91 + x97 =G= 0.29760193;
e52.. x92 + x98 =G= 0.29760193;
e53.. x91 + x99 =G= 0.35149534;
e54.. x92 + x100 =G= 0.35149534;
e55.. x91 + x101 =G= 0.30458283;
e56.. x92 + x102 =G= 0.30458283;
e57.. x91 + x103 =G= 0.29951066;
e58.. x92 + x104 =G= 0.29951066;
e59.. x91 + x105 =G= 0.30694357;
e60.. x92 + x106 =G= 0.30694357;
e61.. x91 + x107 =G= 0.33520661;
e62.. x92 + x108 =G= 0.33520661;
e63.. x91 + x109 =G= 0.3400071;
e64.. x92 + x110 =G= 0.3400071;
e65.. x91 + x111 =G= 0.35227087;
e66.. x92 + x112 =G= 0.35227087;
e67.. x91 + x113 =G= 0.34225726;
e68.. x92 + x114 =G= 0.34225726;
e69.. x91 + x115 =G= 0.32776566;
e70.. x92 + x116 =G= 0.32776566;
e71.. x91 + x117 =G= 0.30438256;
e72.. x92 + x118 =G= 0.30438256;
e73.. x91 + x119 =G= 0.28538336;
e74.. x92 + x120 =G= 0.28538336;
e75.. x91 + x121 =G= 0.27950575;
e76.. x92 + x122 =G= 0.27950575;
e77.. - x91 + x95 =G= -0.29424122;
e78.. - x92 + x96 =G= -0.29424122;
e79.. - x91 + x97 =G= -0.29760193;
e80.. - x92 + x98 =G= -0.29760193;
e81.. - x91 + x99 =G= -0.35149534;
e82.. - x92 + x100 =G= -0.35149534;
e83.. - x91 + x101 =G= -0.30458283;
e84.. - x92 + x102 =G= -0.30458283;
e85.. - x91 + x103 =G= -0.29951066;
e86.. - x92 + x104 =G= -0.29951066;
e87.. - x91 + x105 =G= -0.30694357;
e88.. - x92 + x106 =G= -0.30694357;
e89.. - x91 + x107 =G= -0.33520661;
e90.. - x92 + x108 =G= -0.33520661;
e91.. - x91 + x109 =G= -0.3400071;
e92.. - x92 + x110 =G= -0.3400071;
e93.. - x91 + x113 =G= -0.34225726;
e94.. - x92 + x114 =G= -0.34225726;
e95.. - x91 + x115 =G= -0.32776566;
e96.. - x92 + x116 =G= -0.32776566;
e97.. - x91 + x117 =G= -0.30438256;
e98.. - x92 + x118 =G= -0.30438256;
e99.. - x91 + x119 =G= -0.28538336;
e100.. - x92 + x120 =G= -0.28538336;
e101.. - x91 + x121 =G= -0.27950575;
e102.. - x92 + x122 =G= -0.27950575;
e103.. - x91 + x123 =G= -0.25788969;
e104.. - x92 + x124 =G= -0.25788969;
e105.. x93 + x127 =G= -0.9536939;
e106.. x94 + x128 =G= -0.9536939;
e107.. x93 + x129 =G= -0.9004898;
e108.. x94 + x130 =G= -0.9004898;
e109.. x93 + x131 =G= -0.9114032;
e110.. x94 + x132 =G= -0.9114032;
e111.. x93 + x133 =G= -0.90071532;
e112.. x94 + x134 =G= -0.90071532;
e113.. x93 + x135 =G= -0.88043054;
e114.. x94 + x136 =G= -0.88043054;
e115.. x93 + x137 =G= -0.8680249;
e116.. x94 + x138 =G= -0.8680249;
e117.. x93 + x139 =G= -0.81034814;
e118.. x94 + x140 =G= -0.81034814;
e119.. x93 + x141 =G= -0.80843127;
e120.. x94 + x142 =G= -0.80843127;
e121.. x93 + x143 =G= -0.7794471;
e122.. x94 + x144 =G= -0.7794471;
e123.. x93 + x145 =G= -0.79930922;
e124.. x94 + x146 =G= -0.79930922;
e125.. x93 + x147 =G= -0.84280733;
e126.. x94 + x148 =G= -0.84280733;
e127.. x93 + x149 =G= -0.81379236;
e128.. x94 + x150 =G= -0.81379236;
e129.. x93 + x151 =G= -0.82457178;
e130.. x94 + x152 =G= -0.82457178;
e131.. x93 + x153 =G= -0.80226439;
e132.. x94 + x154 =G= -0.80226439;
e133.. - x93 + x125 =G= 0.98493628;
e134.. - x94 + x126 =G= 0.98493628;
e135.. - x93 + x127 =G= 0.9536939;
e136.. - x94 + x128 =G= 0.9536939;
e137.. - x93 + x129 =G= 0.9004898;
e138.. - x94 + x130 =G= 0.9004898;
e139.. - x93 + x131 =G= 0.9114032;
e140.. - x94 + x132 =G= 0.9114032;
e141.. - x93 + x133 =G= 0.90071532;
e142.. - x94 + x134 =G= 0.90071532;
e143.. - x93 + x135 =G= 0.88043054;
e144.. - x94 + x136 =G= 0.88043054;
e145.. - x93 + x137 =G= 0.8680249;
e146.. - x94 + x138 =G= 0.8680249;
e147.. - x93 + x139 =G= 0.81034814;
e148.. - x94 + x140 =G= 0.81034814;
e149.. - x93 + x141 =G= 0.80843127;
e150.. - x94 + x142 =G= 0.80843127;
e151.. - x93 + x145 =G= 0.79930922;
e152.. - x94 + x146 =G= 0.79930922;
e153.. - x93 + x147 =G= 0.84280733;
e154.. - x94 + x148 =G= 0.84280733;
e155.. - x93 + x149 =G= 0.81379236;
e156.. - x94 + x150 =G= 0.81379236;
e157.. - x93 + x151 =G= 0.82457178;
e158.. - x94 + x152 =G= 0.82457178;
e159.. - x93 + x153 =G= 0.80226439;
e160.. - x94 + x154 =G= 0.80226439;
e161.. x1 - x95 - x125 =E= 0;
e162.. x2 - x96 - x126 =E= 0;
e163.. x3 - x97 - x127 =E= 0;
e164.. x4 - x98 - x128 =E= 0;
e165.. x5 - x99 - x129 =E= 0;
e166.. x6 - x100 - x130 =E= 0;
e167.. x7 - x101 - x131 =E= 0;
e168.. x8 - x102 - x132 =E= 0;
e169.. x9 - x103 - x133 =E= 0;
e170.. x10 - x104 - x134 =E= 0;
e171.. x11 - x105 - x135 =E= 0;
e172.. x12 - x106 - x136 =E= 0;
e173.. x13 - x107 - x137 =E= 0;
e174.. x14 - x108 - x138 =E= 0;
e175.. x15 - x109 - x139 =E= 0;
e176.. x16 - x110 - x140 =E= 0;
e177.. x17 - x111 - x141 =E= 0;
e178.. x18 - x112 - x142 =E= 0;
e179.. x19 - x113 - x143 =E= 0;
e180.. x20 - x114 - x144 =E= 0;
e181.. x21 - x115 - x145 =E= 0;
e182.. x22 - x116 - x146 =E= 0;
e183.. x23 - x117 - x147 =E= 0;
e184.. x24 - x118 - x148 =E= 0;
e185.. x25 - x119 - x149 =E= 0;
e186.. x26 - x120 - x150 =E= 0;
e187.. x27 - x121 - x151 =E= 0;
e188.. x28 - x122 - x152 =E= 0;
e189.. x29 - x123 - x153 =E= 0;
e190.. x30 - x124 - x154 =E= 0;
e191.. b192 + b193 =G= 1;
e192.. b190 + b195 =G= 1;
e193.. b189 + b193 =G= 1;
e194.. b189 + b192 + b194 =G= 1;
e195.. b189 + b191 + b195 =G= 1;
e196.. b189 + b190 =G= 1;
e197.. b188 + b195 =G= 1;
e198.. b188 + b192 =G= 1;
e199.. b187 + b194 =G= 1;
e200.. b187 + b192 + b195 =G= 1;
e201.. b187 + b191 =G= 1;
e202.. b187 + b189 + b195 =G= 1;
e203.. b187 + b189 + b192 =G= 1;
e204.. b187 + b188 =G= 1;
e205.. b186 + b194 =G= 1;
e206.. b186 + b192 + b195 =G= 1;
e207.. b186 + b191 =G= 1;
e208.. b186 + b189 =G= 1;
e209.. b186 + b187 =G= 1;
e210.. b185 + b194 =G= 1;
e211.. b185 + b192 + b195 =G= 1;
e212.. b185 + b191 =G= 1;
e213.. b185 + b189 + b195 =G= 1;
e214.. b185 + b189 + b192 =G= 1;
e215.. b185 + b188 =G= 1;
e216.. b185 + b187 =G= 1;
e217.. b185 + b186 =G= 1;
e218.. b195 + b200 =G= 1;
e219.. b195 + b199 + b201 =G= 1;
e220.. b195 + b198 + b202 =G= 1;
e221.. b195 + b197 =G= 1;
e222.. b195 + b196 + b202 =G= 1;
e223.. b195 + b196 + b199 =G= 1;
e224.. b194 + b201 =G= 1;
e225.. b194 + b199 + b202 =G= 1;
e226.. b194 + b198 =G= 1;
e227.. b194 + b196 =G= 1;
e228.. b193 + b202 =G= 1;
e229.. b193 + b199 =G= 1;
e230.. b193 + b196 =G= 1;
e231.. b192 + b200 =G= 1;
e232.. b192 + b199 + b201 =G= 1;
e233.. b192 + b198 + b202 =G= 1;
e234.. b192 + b197 =G= 1;
e235.. b192 + b196 + b202 =G= 1;
e236.. b192 + b196 + b199 =G= 1;
e237.. b192 + b195 + b201 =G= 1;
e238.. b192 + b195 + b199 + b202 =G= 1;
e239.. b192 + b195 + b198 =G= 1;
e240.. b192 + b195 + b196 =G= 1;
e241.. b192 + b194 + b202 =G= 1;
e242.. b192 + b194 + b199 =G= 1;
e243.. b192 + b194 + b196 =G= 1;
e244.. b191 + b201 =G= 1;
e245.. b191 + b199 + b202 =G= 1;
e246.. b191 + b198 =G= 1;
e247.. b191 + b196 =G= 1;
e248.. b191 + b195 + b202 =G= 1;
e249.. b191 + b195 + b199 =G= 1;
e250.. b191 + b195 + b196 =G= 1;
e251.. b191 + b194 + b202 =G= 1;
e252.. b191 + b194 + b199 =G= 1;
e253.. b191 + b194 + b196 =G= 1;
e254.. b190 + b202 =G= 1;
e255.. b190 + b199 =G= 1;
e256.. b190 + b196 =G= 1;
e257.. b189 + b200 =G= 1;
e258.. b189 + b199 + b201 =G= 1;
e259.. b189 + b198 + b202 =G= 1;
e260.. b189 + b197 =G= 1;
e261.. b189 + b196 + b202 =G= 1;
e262.. b189 + b196 + b199 =G= 1;
e263.. b189 + b195 + b201 =G= 1;
e264.. b189 + b195 + b199 + b202 =G= 1;
e265.. b189 + b195 + b198 =G= 1;
e266.. b189 + b195 + b196 =G= 1;
e267.. b189 + b194 + b202 =G= 1;
e268.. b189 + b194 + b199 =G= 1;
e269.. b189 + b194 + b196 =G= 1;
e270.. b189 + b192 + b201 =G= 1;
e271.. b189 + b192 + b199 + b202 =G= 1;
e272.. b189 + b192 + b198 =G= 1;
e273.. b189 + b192 + b196 =G= 1;
e274.. b189 + b192 + b195 + b202 =G= 1;
e275.. b189 + b192 + b195 + b199 =G= 1;
e276.. b189 + b192 + b195 + b196 =G= 1;
e277.. b189 + b191 + b202 =G= 1;
e278.. b189 + b191 + b199 =G= 1;
e279.. b189 + b191 + b196 =G= 1;
e280.. b188 + b202 =G= 1;
e281.. b188 + b199 =G= 1;
e282.. b188 + b196 =G= 1;
e283.. b187 + b201 =G= 1;
e284.. b187 + b199 + b202 =G= 1;
e285.. b187 + b198 =G= 1;
e286.. b187 + b196 =G= 1;
e287.. b187 + b195 + b202 =G= 1;
e288.. b187 + b195 + b199 =G= 1;
e289.. b187 + b195 + b196 =G= 1;
e290.. b187 + b192 + b202 =G= 1;
e291.. b187 + b192 + b199 =G= 1;
e292.. b187 + b192 + b196 =G= 1;
e293.. b187 + b189 + b202 =G= 1;
e294.. b187 + b189 + b199 =G= 1;
e295.. b187 + b189 + b196 =G= 1;
e296.. b186 + b201 =G= 1;
e297.. b186 + b199 + b202 =G= 1;
e298.. b186 + b198 =G= 1;
e299.. b186 + b196 =G= 1;
e300.. b186 + b195 + b202 =G= 1;
e301.. b186 + b195 + b199 =G= 1;
e302.. b186 + b195 + b196 =G= 1;
e303.. b186 + b192 + b202 =G= 1;
e304.. b186 + b192 + b199 =G= 1;
e305.. b186 + b192 + b196 =G= 1;
e306.. b185 + b201 =G= 1;
e307.. b185 + b199 + b202 =G= 1;
e308.. b185 + b198 =G= 1;
e309.. b185 + b196 =G= 1;
e310.. b185 + b195 + b202 =G= 1;
e311.. b185 + b195 + b199 =G= 1;
e312.. b185 + b195 + b196 =G= 1;
e313.. b185 + b192 + b202 =G= 1;
e314.. b185 + b192 + b199 =G= 1;
e315.. b185 + b192 + b196 =G= 1;
e316.. b185 + b189 + b202 =G= 1;
e317.. b185 + b189 + b199 =G= 1;
e318.. b185 + b189 + b196 =G= 1;
e319.. x31 - 2.02*b185 =G= 0;
e320.. x32 - 4.01333333333333*b186 =G= 0;
e321.. x33 - 4.76*b187 =G= 0;
e322.. x34 - 5.68*b188 =G= 0;
e323.. x34 - 5.96*b189 =G= 0;
e324.. x35 - 38.2666666666667*b190 =G= 0;
e325.. x35 - 40.18*b191 =G= 0;
e326.. x35 - 42.0933333333333*b192 =G= 0;
e327.. x36 - 90.2533333333333*b193 =G= 0;
e328.. x36 - 94.7666666666667*b194 =G= 0;
e329.. x36 - 99.28*b195 =G= 0;
e330.. x37 - 6.59333333333333*b196 =G= 0;
e331.. x38 - 56.24*b197 =G= 0;
e332.. x38 - 59.0533333333333*b198 =G= 0;
e333.. x38 - 61.8666666666667*b199 =G= 0;
e334.. x39 - 51.1733333333333*b200 =G= 0;
e335.. x39 - 53.7333333333333*b201 =G= 0;
e336.. x39 - 56.2866666666667*b202 =G= 0;
e337.. x40 - 35.84*b203 =G= 0;
e338.. x40 - 37.7266666666667*b204 =G= 0;
e339.. x40 - 39.6133333333333*b205 =G= 0;
e340.. x40 - 41.5*b206 =G= 0;
e341.. x41 - 56.8066666666667*b207 =G= 0;
e342.. x41 - 59.6466666666667*b208 =G= 0;
e343.. x41 - 62.4933333333333*b209 =G= 0;
e344.. x42 - 80.9066666666667*b210 =G= 0;
e345.. x43 - 26.1466666666667*b211 =G= 0;
e346.. x44 - 38*b212 =G= 0;
e347.. x45 - 59.2733333333333*b213 =G= 0;
e348.. x45 - 62.24*b214 =G= 0;
e349.. - x76 + x155 =L= 0;
e350.. - x76 + x156 =L= 0;
e351.. - x77 + x157 =L= 0;
e352.. - x77 + x158 =L= 0;
e353.. - x78 + x159 =L= 0;
e354.. - x78 + x160 =L= 0;
e355.. - x79 + x161 =L= 0;
e356.. - x79 + x162 =L= 0;
e357.. - x80 + x163 =L= 0;
e358.. - x80 + x164 =L= 0;
e359.. - x81 + x165 =L= 0;
e360.. - x81 + x166 =L= 0;
e361.. - x82 + x167 =L= 0;
e362.. - x82 + x168 =L= 0;
e363.. - x83 + x169 =L= 0;
e364.. - x83 + x170 =L= 0;
e365.. - x84 + x171 =L= 0;
e366.. - x84 + x172 =L= 0;
e367.. - x85 + x173 =L= 0;
e368.. - x85 + x174 =L= 0;
e369.. - x86 + x175 =L= 0;
e370.. - x86 + x176 =L= 0;
e371.. - x87 + x177 =L= 0;
e372.. - x87 + x178 =L= 0;
e373.. - x88 + x179 =L= 0;
e374.. - x88 + x180 =L= 0;
e375.. - x89 + x181 =L= 0;
e376.. - x89 + x182 =L= 0;
e377.. - x90 + x183 =L= 0;
e378.. - x90 + x184 =L= 0;
e379.. b188 - b189 =G= 0;
e380.. b190 - b191 =G= 0;
e381.. b191 - b192 =G= 0;
e382.. b193 - b194 =G= 0;
e383.. b194 - b195 =G= 0;
e384.. b197 - b198 =G= 0;
e385.. b198 - b199 =G= 0;
e386.. b200 - b201 =G= 0;
e387.. b201 - b202 =G= 0;
e388.. b203 - b204 =G= 0;
e389.. b204 - b205 =G= 0;
e390.. b205 - b206 =G= 0;
e391.. b207 - b208 =G= 0;
e392.. b208 - b209 =G= 0;
e393.. b213 - b214 =G= 0;
e394.. x93 - x94 =G= 0;
* set non-default bounds
x1.up = 0.26351883;
x2.up = 0.26351883;
x3.up = 0.22891574;
x4.up = 0.22891574;
x5.up = 0.21464835;
x6.up = 0.21464835;
x7.up = 0.17964414;
x8.up = 0.17964414;
x9.up = 0.17402843;
x10.up = 0.17402843;
x11.up = 0.15355962;
x12.up = 0.15355962;
x13.up = 0.1942283;
x14.up = 0.1942283;
x15.up = 0.25670555;
x16.up = 0.25670555;
x17.up = 0.27088619;
x18.up = 0.27088619;
x19.up = 0.28985675;
x20.up = 0.28985675;
x21.up = 0.25550303;
x22.up = 0.25550303;
x23.up = 0.19001726;
x24.up = 0.19001726;
x25.up = 0.23803143;
x26.up = 0.23803143;
x27.up = 0.23312962;
x28.up = 0.23312962;
x29.up = 0.27705307;
x30.up = 0.27705307;
x31.lo = 1.92; x31.up = 2.02;
x32.lo = 3.82; x32.up = 4.01333333333333;
x33.lo = 4.53333333333333; x33.up = 4.76;
x34.lo = 5.39333333333333; x34.up = 5.96;
x35.lo = 36.3533333333333; x35.up = 42.0933333333333;
x36.lo = 85.7466666666667; x36.up = 99.28;
x37.lo = 6.28; x37.up = 6.59333333333333;
x38.lo = 53.4333333333333; x38.up = 61.8666666666667;
x39.lo = 48.6133333333333; x39.up = 56.2866666666667;
x40.lo = 33.9533333333333; x40.up = 41.5;
x41.lo = 53.9666666666667; x41.up = 62.4933333333333;
x42.lo = 77.0533333333333; x42.up = 80.9066666666667;
x43.lo = 24.9066666666667; x43.up = 26.1466666666667;
x44.lo = 36.1866666666667; x44.up = 38;
x45.lo = 56.3133333333333; x45.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 = 0.5323080366;
x157.up = 0.918715169866666;
x158.up = 0.918715169866666;
x159.up = 1.021726146;
x160.up = 1.021726146;
x161.up = 1.0706790744;
x162.up = 1.0706790744;
x163.up = 7.32543671346667;
x164.up = 7.32543671346667;
x165.up = 15.2453990736;
x166.up = 15.2453990736;
x167.up = 1.28061192466667;
x168.up = 1.28061192466667;
x169.up = 15.8815166933333;
x170.up = 15.8815166933333;
x171.up = 15.2472806811333;
x172.up = 15.2472806811333;
x173.up = 12.029055125;
x174.up = 12.029055125;
x175.up = 15.9672360214667;
x176.up = 15.9672360214667;
x177.up = 15.3736631157333;
x178.up = 15.3736631157333;
x179.up = 6.2237284564;
x180.up = 6.2237284564;
x181.up = 8.85892556;
x182.up = 8.85892556;
x183.up = 17.2437830768;
x184.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