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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)
18.59410919 p1 ( gdx sol )
(infeas: 1e-12)
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 of Objective Gradient and Jacobian
Sparsity Hessian of Lagrangian Sparsity of 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: 2022-08-11 Git hash: f176bd52
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