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Instance sfacloc1_3_90

Probabilistic Facility Location and Assignment with Random Demand (given by 5000 scenarios), where 3 facilities can be opened anywhere in the Euclidean plane (distances are measured with the Manhattan (or L1) metric), the facilities are capacitated and each customer may be served by more than one facility.
The objective is to minimize an upper-bound on the weighted total-distance (i.e., the sum of the product of the demand of each customer times the distance to the facility serving that customer) such that this bound is satisfied with a reliability level of 0.90.
Formats ams gms mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
11.64370825 p1 ( gdx sol )
(infeas: 4e-14)
11.62198856 p2 ( gdx sol )
(infeas: 6e-14)
Other points (infeas > 1e-08)  
Dual Bounds
3.81070227 (ANTIGONE)
0.00000000 (BARON)
0.16837867 (COUENNE)
2.35386878 (LINDO)
3.75779157 (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/1B2C/M2_2/M2_2_1B2C_15_3_90_5000.nl from François Margot stochastic instances collection
Application Facility Location
Added to library 12 Aug 2014
Problem type MBNLP
#Variables 261
#Binary Variables 30
#Integer Variables 0
#Nonlinear Variables 105
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 15
#Nonlinear Nonzeros in Objective 0
#Constraints 421
#Linear Constraints 406
#Quadratic Constraints 0
#Polynomial Constraints 15
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 1132
#Nonlinear Nonzeros in Jacobian 105
#Nonzeros in (Upper-Left) Hessian of Lagrangian 270
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 15
Minimal blocksize in Hessian of Lagrangian 7
Maximal blocksize in Hessian of Lagrangian 7
Average blocksize in Hessian of Lagrangian 7.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.0000e-01
Maximal coefficient 9.9280e+01
Infeasibility of initial point 85.75
Sparsity Jacobian Sparsity 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
*        422       91      313       18        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        262      232       30        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1148     1043      105        0
*
*  Solve m using MINLP minimizing objvar;


Variables  x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
          ,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36
          ,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52,x53
          ,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70
          ,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87
          ,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103
          ,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115,x116
          ,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128,x129
          ,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141,x142
          ,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154,x155
          ,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167,x168
          ,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181
          ,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194
          ,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206,x207
          ,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
          ,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,b232,b233
          ,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245,b246
          ,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258,b259
          ,b260,b261,objvar;

Positive Variables  x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17
          ,x18,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34
          ,x35,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51
          ,x52,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68
          ,x69,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85
          ,x86,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101
          ,x102,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114
          ,x115,x116,x117,x118,x119,x120,x127,x128,x129,x130,x131,x132,x133
          ,x134,x135,x136,x137,x138,x139,x140,x141,x142,x143,x144,x145,x146
          ,x147,x148,x149,x150,x151,x152,x153,x154,x155,x156,x157,x158,x159
          ,x160,x161,x162,x163,x164,x165,x166,x167,x168,x169,x170,x171,x172
          ,x173,x174,x175,x176,x177,x178,x179,x180,x181,x182,x183,x184,x185
          ,x186,x187,x188,x189,x190,x191,x192,x193,x194,x195,x196,x197,x198
          ,x199,x200,x201,x202,x203,x204,x205,x206,x207,x208,x209,x210,x211
          ,x212,x213,x214,x215,x216,x217,x218,x219,x220,x221,x222,x223,x224
          ,x225,x226,x227,x228,x229,x230,x231;

Binary Variables  b232,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243
          ,b244,b245,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256
          ,b257,b258,b259,b260,b261;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
          ,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
          ,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
          ,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
          ,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
          ,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
          ,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
          ,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
          ,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
          ,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
          ,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
          ,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
          ,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
          ,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
          ,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
          ,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
          ,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
          ,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
          ,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
          ,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
          ,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
          ,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
          ,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
          ,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
          ,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
          ,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
          ,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
          ,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
          ,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
          ,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
          ,e416,e417,e418,e419,e420,e421,e422;


e1..    x106 + x107 + x108 + x109 + x110 + x111 + x112 + x113 + x114 + x115
      + x116 + x117 + x118 + x119 + x120 - objvar =E= 0;

e2.. -(x91*x46*x1 + x91*x47*x2 + x91*x48*x3) + x217 =E= 0;

e3.. -(x92*x49*x4 + x92*x50*x5 + x92*x51*x6) + x218 =E= 0;

e4.. -(x93*x52*x7 + x93*x53*x8 + x93*x54*x9) + x219 =E= 0;

e5.. -(x94*x55*x10 + x94*x56*x11 + x94*x57*x12) + x220 =E= 0;

e6.. -(x95*x58*x13 + x95*x59*x14 + x95*x60*x15) + x221 =E= 0;

e7.. -(x96*x61*x16 + x96*x62*x17 + x96*x63*x18) + x222 =E= 0;

e8.. -(x97*x64*x19 + x97*x65*x20 + x97*x66*x21) + x223 =E= 0;

e9.. -(x98*x67*x22 + x98*x68*x23 + x98*x69*x24) + x224 =E= 0;

e10.. -(x99*x70*x25 + x99*x71*x26 + x99*x72*x27) + x225 =E= 0;

e11.. -(x100*x73*x28 + x100*x74*x29 + x100*x75*x30) + x226 =E= 0;

e12.. -(x101*x76*x31 + x101*x77*x32 + x101*x78*x33) + x227 =E= 0;

e13.. -(x102*x79*x34 + x102*x80*x35 + x102*x81*x36) + x228 =E= 0;

e14.. -(x103*x82*x37 + x103*x83*x38 + x103*x84*x39) + x229 =E= 0;

e15.. -(x104*x85*x40 + x104*x86*x41 + x104*x87*x42) + x230 =E= 0;

e16.. -(x105*x88*x43 + x105*x89*x44 + x105*x90*x45) + x231 =E= 0;

e17..    x1 + x2 + x3 =E= 1;

e18..    x4 + x5 + x6 =E= 1;

e19..    x7 + x8 + x9 =E= 1;

e20..    x10 + x11 + x12 =E= 1;

e21..    x13 + x14 + x15 =E= 1;

e22..    x16 + x17 + x18 =E= 1;

e23..    x19 + x20 + x21 =E= 1;

e24..    x22 + x23 + x24 =E= 1;

e25..    x25 + x26 + x27 =E= 1;

e26..    x28 + x29 + x30 =E= 1;

e27..    x31 + x32 + x33 =E= 1;

e28..    x34 + x35 + x36 =E= 1;

e29..    x37 + x38 + x39 =E= 1;

e30..    x40 + x41 + x42 =E= 1;

e31..    x43 + x44 + x45 =E= 1;

e32..    2.02*x1 + 4.01333333333333*x4 + 4.76*x7 + 5.96*x10
       + 42.0933333333333*x13 + 99.28*x16 + 6.59333333333333*x19
       + 61.8666666666667*x22 + 56.2866666666667*x25 + 41.5*x28
       + 62.4933333333333*x31 + 80.9066666666667*x34 + 26.1466666666667*x37
       + 38*x40 + 62.24*x43 =L= 213.053333333333;

e33..    2.02*x2 + 4.01333333333333*x5 + 4.76*x8 + 5.96*x11
       + 42.0933333333333*x14 + 99.28*x17 + 6.59333333333333*x20
       + 61.8666666666667*x23 + 56.2866666666667*x26 + 41.5*x29
       + 62.4933333333333*x32 + 80.9066666666667*x35 + 26.1466666666667*x38
       + 38*x41 + 62.24*x44 =L= 213.053333333333;

e34..    2.02*x3 + 4.01333333333333*x6 + 4.76*x9 + 5.96*x12
       + 42.0933333333333*x15 + 99.28*x18 + 6.59333333333333*x21
       + 61.8666666666667*x24 + 56.2866666666667*x27 + 41.5*x30
       + 62.4933333333333*x33 + 80.9066666666667*x36 + 26.1466666666667*x39
       + 38*x42 + 62.24*x45 =L= 213.053333333333;

e35..    x121 + x127 =G= 0.29424122;

e36..    x122 + x128 =G= 0.29424122;

e37..    x123 + x129 =G= 0.29424122;

e38..    x121 + x130 =G= 0.29760193;

e39..    x122 + x131 =G= 0.29760193;

e40..    x123 + x132 =G= 0.29760193;

e41..    x121 + x133 =G= 0.35149534;

e42..    x122 + x134 =G= 0.35149534;

e43..    x123 + x135 =G= 0.35149534;

e44..    x121 + x136 =G= 0.30458283;

e45..    x122 + x137 =G= 0.30458283;

e46..    x123 + x138 =G= 0.30458283;

e47..    x121 + x139 =G= 0.29951066;

e48..    x122 + x140 =G= 0.29951066;

e49..    x123 + x141 =G= 0.29951066;

e50..    x121 + x142 =G= 0.30694357;

e51..    x122 + x143 =G= 0.30694357;

e52..    x123 + x144 =G= 0.30694357;

e53..    x121 + x145 =G= 0.33520661;

e54..    x122 + x146 =G= 0.33520661;

e55..    x123 + x147 =G= 0.33520661;

e56..    x121 + x148 =G= 0.3400071;

e57..    x122 + x149 =G= 0.3400071;

e58..    x123 + x150 =G= 0.3400071;

e59..    x121 + x151 =G= 0.35227087;

e60..    x122 + x152 =G= 0.35227087;

e61..    x123 + x153 =G= 0.35227087;

e62..    x121 + x154 =G= 0.34225726;

e63..    x122 + x155 =G= 0.34225726;

e64..    x123 + x156 =G= 0.34225726;

e65..    x121 + x157 =G= 0.32776566;

e66..    x122 + x158 =G= 0.32776566;

e67..    x123 + x159 =G= 0.32776566;

e68..    x121 + x160 =G= 0.30438256;

e69..    x122 + x161 =G= 0.30438256;

e70..    x123 + x162 =G= 0.30438256;

e71..    x121 + x163 =G= 0.28538336;

e72..    x122 + x164 =G= 0.28538336;

e73..    x123 + x165 =G= 0.28538336;

e74..    x121 + x166 =G= 0.27950575;

e75..    x122 + x167 =G= 0.27950575;

e76..    x123 + x168 =G= 0.27950575;

e77..  - x121 + x127 =G= -0.29424122;

e78..  - x122 + x128 =G= -0.29424122;

e79..  - x123 + x129 =G= -0.29424122;

e80..  - x121 + x130 =G= -0.29760193;

e81..  - x122 + x131 =G= -0.29760193;

e82..  - x123 + x132 =G= -0.29760193;

e83..  - x121 + x133 =G= -0.35149534;

e84..  - x122 + x134 =G= -0.35149534;

e85..  - x123 + x135 =G= -0.35149534;

e86..  - x121 + x136 =G= -0.30458283;

e87..  - x122 + x137 =G= -0.30458283;

e88..  - x123 + x138 =G= -0.30458283;

e89..  - x121 + x139 =G= -0.29951066;

e90..  - x122 + x140 =G= -0.29951066;

e91..  - x123 + x141 =G= -0.29951066;

e92..  - x121 + x142 =G= -0.30694357;

e93..  - x122 + x143 =G= -0.30694357;

e94..  - x123 + x144 =G= -0.30694357;

e95..  - x121 + x145 =G= -0.33520661;

e96..  - x122 + x146 =G= -0.33520661;

e97..  - x123 + x147 =G= -0.33520661;

e98..  - x121 + x148 =G= -0.3400071;

e99..  - x122 + x149 =G= -0.3400071;

e100..  - x123 + x150 =G= -0.3400071;

e101..  - x121 + x154 =G= -0.34225726;

e102..  - x122 + x155 =G= -0.34225726;

e103..  - x123 + x156 =G= -0.34225726;

e104..  - x121 + x157 =G= -0.32776566;

e105..  - x122 + x158 =G= -0.32776566;

e106..  - x123 + x159 =G= -0.32776566;

e107..  - x121 + x160 =G= -0.30438256;

e108..  - x122 + x161 =G= -0.30438256;

e109..  - x123 + x162 =G= -0.30438256;

e110..  - x121 + x163 =G= -0.28538336;

e111..  - x122 + x164 =G= -0.28538336;

e112..  - x123 + x165 =G= -0.28538336;

e113..  - x121 + x166 =G= -0.27950575;

e114..  - x122 + x167 =G= -0.27950575;

e115..  - x123 + x168 =G= -0.27950575;

e116..  - x121 + x169 =G= -0.25788969;

e117..  - x122 + x170 =G= -0.25788969;

e118..  - x123 + x171 =G= -0.25788969;

e119..    x124 + x175 =G= -0.9536939;

e120..    x125 + x176 =G= -0.9536939;

e121..    x126 + x177 =G= -0.9536939;

e122..    x124 + x178 =G= -0.9004898;

e123..    x125 + x179 =G= -0.9004898;

e124..    x126 + x180 =G= -0.9004898;

e125..    x124 + x181 =G= -0.9114032;

e126..    x125 + x182 =G= -0.9114032;

e127..    x126 + x183 =G= -0.9114032;

e128..    x124 + x184 =G= -0.90071532;

e129..    x125 + x185 =G= -0.90071532;

e130..    x126 + x186 =G= -0.90071532;

e131..    x124 + x187 =G= -0.88043054;

e132..    x125 + x188 =G= -0.88043054;

e133..    x126 + x189 =G= -0.88043054;

e134..    x124 + x190 =G= -0.8680249;

e135..    x125 + x191 =G= -0.8680249;

e136..    x126 + x192 =G= -0.8680249;

e137..    x124 + x193 =G= -0.81034814;

e138..    x125 + x194 =G= -0.81034814;

e139..    x126 + x195 =G= -0.81034814;

e140..    x124 + x196 =G= -0.80843127;

e141..    x125 + x197 =G= -0.80843127;

e142..    x126 + x198 =G= -0.80843127;

e143..    x124 + x199 =G= -0.7794471;

e144..    x125 + x200 =G= -0.7794471;

e145..    x126 + x201 =G= -0.7794471;

e146..    x124 + x202 =G= -0.79930922;

e147..    x125 + x203 =G= -0.79930922;

e148..    x126 + x204 =G= -0.79930922;

e149..    x124 + x205 =G= -0.84280733;

e150..    x125 + x206 =G= -0.84280733;

e151..    x126 + x207 =G= -0.84280733;

e152..    x124 + x208 =G= -0.81379236;

e153..    x125 + x209 =G= -0.81379236;

e154..    x126 + x210 =G= -0.81379236;

e155..    x124 + x211 =G= -0.82457178;

e156..    x125 + x212 =G= -0.82457178;

e157..    x126 + x213 =G= -0.82457178;

e158..    x124 + x214 =G= -0.80226439;

e159..    x125 + x215 =G= -0.80226439;

e160..    x126 + x216 =G= -0.80226439;

e161..  - x124 + x172 =G= 0.98493628;

e162..  - x125 + x173 =G= 0.98493628;

e163..  - x126 + x174 =G= 0.98493628;

e164..  - x124 + x175 =G= 0.9536939;

e165..  - x125 + x176 =G= 0.9536939;

e166..  - x126 + x177 =G= 0.9536939;

e167..  - x124 + x178 =G= 0.9004898;

e168..  - x125 + x179 =G= 0.9004898;

e169..  - x126 + x180 =G= 0.9004898;

e170..  - x124 + x181 =G= 0.9114032;

e171..  - x125 + x182 =G= 0.9114032;

e172..  - x126 + x183 =G= 0.9114032;

e173..  - x124 + x184 =G= 0.90071532;

e174..  - x125 + x185 =G= 0.90071532;

e175..  - x126 + x186 =G= 0.90071532;

e176..  - x124 + x187 =G= 0.88043054;

e177..  - x125 + x188 =G= 0.88043054;

e178..  - x126 + x189 =G= 0.88043054;

e179..  - x124 + x190 =G= 0.8680249;

e180..  - x125 + x191 =G= 0.8680249;

e181..  - x126 + x192 =G= 0.8680249;

e182..  - x124 + x193 =G= 0.81034814;

e183..  - x125 + x194 =G= 0.81034814;

e184..  - x126 + x195 =G= 0.81034814;

e185..  - x124 + x196 =G= 0.80843127;

e186..  - x125 + x197 =G= 0.80843127;

e187..  - x126 + x198 =G= 0.80843127;

e188..  - x124 + x202 =G= 0.79930922;

e189..  - x125 + x203 =G= 0.79930922;

e190..  - x126 + x204 =G= 0.79930922;

e191..  - x124 + x205 =G= 0.84280733;

e192..  - x125 + x206 =G= 0.84280733;

e193..  - x126 + x207 =G= 0.84280733;

e194..  - x124 + x208 =G= 0.81379236;

e195..  - x125 + x209 =G= 0.81379236;

e196..  - x126 + x210 =G= 0.81379236;

e197..  - x124 + x211 =G= 0.82457178;

e198..  - x125 + x212 =G= 0.82457178;

e199..  - x126 + x213 =G= 0.82457178;

e200..  - x124 + x214 =G= 0.80226439;

e201..  - x125 + x215 =G= 0.80226439;

e202..  - x126 + x216 =G= 0.80226439;

e203..    x46 - x127 - x172 =E= 0;

e204..    x47 - x128 - x173 =E= 0;

e205..    x48 - x129 - x174 =E= 0;

e206..    x49 - x130 - x175 =E= 0;

e207..    x50 - x131 - x176 =E= 0;

e208..    x51 - x132 - x177 =E= 0;

e209..    x52 - x133 - x178 =E= 0;

e210..    x53 - x134 - x179 =E= 0;

e211..    x54 - x135 - x180 =E= 0;

e212..    x55 - x136 - x181 =E= 0;

e213..    x56 - x137 - x182 =E= 0;

e214..    x57 - x138 - x183 =E= 0;

e215..    x58 - x139 - x184 =E= 0;

e216..    x59 - x140 - x185 =E= 0;

e217..    x60 - x141 - x186 =E= 0;

e218..    x61 - x142 - x187 =E= 0;

e219..    x62 - x143 - x188 =E= 0;

e220..    x63 - x144 - x189 =E= 0;

e221..    x64 - x145 - x190 =E= 0;

e222..    x65 - x146 - x191 =E= 0;

e223..    x66 - x147 - x192 =E= 0;

e224..    x67 - x148 - x193 =E= 0;

e225..    x68 - x149 - x194 =E= 0;

e226..    x69 - x150 - x195 =E= 0;

e227..    x70 - x151 - x196 =E= 0;

e228..    x71 - x152 - x197 =E= 0;

e229..    x72 - x153 - x198 =E= 0;

e230..    x73 - x154 - x199 =E= 0;

e231..    x74 - x155 - x200 =E= 0;

e232..    x75 - x156 - x201 =E= 0;

e233..    x76 - x157 - x202 =E= 0;

e234..    x77 - x158 - x203 =E= 0;

e235..    x78 - x159 - x204 =E= 0;

e236..    x79 - x160 - x205 =E= 0;

e237..    x80 - x161 - x206 =E= 0;

e238..    x81 - x162 - x207 =E= 0;

e239..    x82 - x163 - x208 =E= 0;

e240..    x83 - x164 - x209 =E= 0;

e241..    x84 - x165 - x210 =E= 0;

e242..    x85 - x166 - x211 =E= 0;

e243..    x86 - x167 - x212 =E= 0;

e244..    x87 - x168 - x213 =E= 0;

e245..    x88 - x169 - x214 =E= 0;

e246..    x89 - x170 - x215 =E= 0;

e247..    x90 - x171 - x216 =E= 0;

e248..    b239 + b240 =G= 1;

e249..    b237 + b242 =G= 1;

e250..    b236 + b240 =G= 1;

e251..    b236 + b239 + b241 =G= 1;

e252..    b236 + b238 + b242 =G= 1;

e253..    b236 + b237 =G= 1;

e254..    b235 + b242 =G= 1;

e255..    b235 + b239 =G= 1;

e256..    b234 + b241 =G= 1;

e257..    b234 + b239 + b242 =G= 1;

e258..    b234 + b238 =G= 1;

e259..    b234 + b236 + b242 =G= 1;

e260..    b234 + b236 + b239 =G= 1;

e261..    b234 + b235 =G= 1;

e262..    b233 + b241 =G= 1;

e263..    b233 + b239 + b242 =G= 1;

e264..    b233 + b238 =G= 1;

e265..    b233 + b236 =G= 1;

e266..    b233 + b234 =G= 1;

e267..    b232 + b241 =G= 1;

e268..    b232 + b239 + b242 =G= 1;

e269..    b232 + b238 =G= 1;

e270..    b232 + b236 + b242 =G= 1;

e271..    b232 + b236 + b239 =G= 1;

e272..    b232 + b235 =G= 1;

e273..    b232 + b234 =G= 1;

e274..    b232 + b233 =G= 1;

e275..    b242 + b247 =G= 1;

e276..    b242 + b246 + b248 =G= 1;

e277..    b242 + b245 + b249 =G= 1;

e278..    b242 + b244 =G= 1;

e279..    b242 + b243 + b249 =G= 1;

e280..    b242 + b243 + b246 =G= 1;

e281..    b241 + b248 =G= 1;

e282..    b241 + b246 + b249 =G= 1;

e283..    b241 + b245 =G= 1;

e284..    b241 + b243 =G= 1;

e285..    b240 + b249 =G= 1;

e286..    b240 + b246 =G= 1;

e287..    b240 + b243 =G= 1;

e288..    b239 + b247 =G= 1;

e289..    b239 + b246 + b248 =G= 1;

e290..    b239 + b245 + b249 =G= 1;

e291..    b239 + b244 =G= 1;

e292..    b239 + b243 + b249 =G= 1;

e293..    b239 + b243 + b246 =G= 1;

e294..    b239 + b242 + b248 =G= 1;

e295..    b239 + b242 + b246 + b249 =G= 1;

e296..    b239 + b242 + b245 =G= 1;

e297..    b239 + b242 + b243 =G= 1;

e298..    b239 + b241 + b249 =G= 1;

e299..    b239 + b241 + b246 =G= 1;

e300..    b239 + b241 + b243 =G= 1;

e301..    b238 + b248 =G= 1;

e302..    b238 + b246 + b249 =G= 1;

e303..    b238 + b245 =G= 1;

e304..    b238 + b243 =G= 1;

e305..    b238 + b242 + b249 =G= 1;

e306..    b238 + b242 + b246 =G= 1;

e307..    b238 + b242 + b243 =G= 1;

e308..    b238 + b241 + b249 =G= 1;

e309..    b238 + b241 + b246 =G= 1;

e310..    b238 + b241 + b243 =G= 1;

e311..    b237 + b249 =G= 1;

e312..    b237 + b246 =G= 1;

e313..    b237 + b243 =G= 1;

e314..    b236 + b247 =G= 1;

e315..    b236 + b246 + b248 =G= 1;

e316..    b236 + b245 + b249 =G= 1;

e317..    b236 + b244 =G= 1;

e318..    b236 + b243 + b249 =G= 1;

e319..    b236 + b243 + b246 =G= 1;

e320..    b236 + b242 + b248 =G= 1;

e321..    b236 + b242 + b246 + b249 =G= 1;

e322..    b236 + b242 + b245 =G= 1;

e323..    b236 + b242 + b243 =G= 1;

e324..    b236 + b241 + b249 =G= 1;

e325..    b236 + b241 + b246 =G= 1;

e326..    b236 + b241 + b243 =G= 1;

e327..    b236 + b239 + b248 =G= 1;

e328..    b236 + b239 + b246 + b249 =G= 1;

e329..    b236 + b239 + b245 =G= 1;

e330..    b236 + b239 + b243 =G= 1;

e331..    b236 + b239 + b242 + b249 =G= 1;

e332..    b236 + b239 + b242 + b246 =G= 1;

e333..    b236 + b239 + b242 + b243 =G= 1;

e334..    b236 + b238 + b249 =G= 1;

e335..    b236 + b238 + b246 =G= 1;

e336..    b236 + b238 + b243 =G= 1;

e337..    b235 + b249 =G= 1;

e338..    b235 + b246 =G= 1;

e339..    b235 + b243 =G= 1;

e340..    b234 + b248 =G= 1;

e341..    b234 + b246 + b249 =G= 1;

e342..    b234 + b245 =G= 1;

e343..    b234 + b243 =G= 1;

e344..    b234 + b242 + b249 =G= 1;

e345..    b234 + b242 + b246 =G= 1;

e346..    b234 + b242 + b243 =G= 1;

e347..    b234 + b239 + b249 =G= 1;

e348..    b234 + b239 + b246 =G= 1;

e349..    b234 + b239 + b243 =G= 1;

e350..    b234 + b236 + b249 =G= 1;

e351..    b234 + b236 + b246 =G= 1;

e352..    b234 + b236 + b243 =G= 1;

e353..    b233 + b248 =G= 1;

e354..    b233 + b246 + b249 =G= 1;

e355..    b233 + b245 =G= 1;

e356..    b233 + b243 =G= 1;

e357..    b233 + b242 + b249 =G= 1;

e358..    b233 + b242 + b246 =G= 1;

e359..    b233 + b242 + b243 =G= 1;

e360..    b233 + b239 + b249 =G= 1;

e361..    b233 + b239 + b246 =G= 1;

e362..    b233 + b239 + b243 =G= 1;

e363..    b232 + b248 =G= 1;

e364..    b232 + b246 + b249 =G= 1;

e365..    b232 + b245 =G= 1;

e366..    b232 + b243 =G= 1;

e367..    b232 + b242 + b249 =G= 1;

e368..    b232 + b242 + b246 =G= 1;

e369..    b232 + b242 + b243 =G= 1;

e370..    b232 + b239 + b249 =G= 1;

e371..    b232 + b239 + b246 =G= 1;

e372..    b232 + b239 + b243 =G= 1;

e373..    b232 + b236 + b249 =G= 1;

e374..    b232 + b236 + b246 =G= 1;

e375..    b232 + b236 + b243 =G= 1;

e376..    b235 - b236 =G= 0;

e377..    b237 - b238 =G= 0;

e378..    b238 - b239 =G= 0;

e379..    b240 - b241 =G= 0;

e380..    b241 - b242 =G= 0;

e381..    b244 - b245 =G= 0;

e382..    b245 - b246 =G= 0;

e383..    b247 - b248 =G= 0;

e384..    b248 - b249 =G= 0;

e385..    b250 - b251 =G= 0;

e386..    b251 - b252 =G= 0;

e387..    b252 - b253 =G= 0;

e388..    b254 - b255 =G= 0;

e389..    b255 - b256 =G= 0;

e390..    b260 - b261 =G= 0;

e391..    x124 - x125 =G= 0;

e392..    x125 - x126 =G= 0;

e393..    x91 - 0.1*b232 =E= 1.92;

e394..    x92 - 0.193333333333333*b233 =E= 3.82;

e395..    x93 - 0.226666666666667*b234 =E= 4.53333333333333;

e396..    x94 - 0.286666666666667*b235 - 0.28*b236 =E= 5.39333333333333;

e397..    x95 - 1.91333333333333*b237 - 1.91333333333333*b238
        - 1.91333333333333*b239 =E= 36.3533333333333;

e398..    x96 - 4.50666666666667*b240 - 4.51333333333333*b241
        - 4.51333333333333*b242 =E= 85.7466666666667;

e399..    x97 - 0.313333333333333*b243 =E= 6.28;

e400..    x98 - 2.80666666666667*b244 - 2.81333333333333*b245
        - 2.81333333333333*b246 =E= 53.4333333333333;

e401..    x99 - 2.56*b247 - 2.56*b248 - 2.55333333333333*b249
        =E= 48.6133333333333;

e402..    x100 - 1.88666666666667*b250 - 1.88666666666667*b251
        - 1.88666666666667*b252 - 1.88666666666667*b253 =E= 33.9533333333333;

e403..    x101 - 2.84*b254 - 2.84*b255 - 2.84666666666667*b256
        =E= 53.9666666666667;

e404..    x102 - 3.85333333333333*b257 =E= 77.0533333333333;

e405..    x103 - 1.24*b258 =E= 24.9066666666667;

e406..    x104 - 1.81333333333333*b259 =E= 36.1866666666667;

e407..    x105 - 2.96*b260 - 2.96666666666667*b261 =E= 56.3133333333333;

e408..  - x106 + x217 =L= 0;

e409..  - x107 + x218 =L= 0;

e410..  - x108 + x219 =L= 0;

e411..  - x109 + x220 =L= 0;

e412..  - x110 + x221 =L= 0;

e413..  - x111 + x222 =L= 0;

e414..  - x112 + x223 =L= 0;

e415..  - x113 + x224 =L= 0;

e416..  - x114 + x225 =L= 0;

e417..  - x115 + x226 =L= 0;

e418..  - x116 + x227 =L= 0;

e419..  - x117 + x228 =L= 0;

e420..  - x118 + x229 =L= 0;

e421..  - x119 + x230 =L= 0;

e422..  - x120 + x231 =L= 0;

* set non-default bounds
x1.up = 1;
x2.up = 1;
x3.up = 1;
x4.up = 1;
x5.up = 1;
x6.up = 1;
x7.up = 1;
x8.up = 1;
x9.up = 1;
x10.up = 1;
x11.up = 1;
x12.up = 1;
x13.up = 1;
x14.up = 1;
x15.up = 1;
x16.up = 1;
x17.up = 1;
x18.up = 1;
x19.up = 1;
x20.up = 1;
x21.up = 1;
x22.up = 1;
x23.up = 1;
x24.up = 1;
x25.up = 1;
x26.up = 1;
x27.up = 1;
x28.up = 1;
x29.up = 1;
x30.up = 1;
x31.up = 1;
x32.up = 1;
x33.up = 1;
x34.up = 1;
x35.up = 1;
x36.up = 1;
x37.up = 1;
x38.up = 1;
x39.up = 1;
x40.up = 1;
x41.up = 1;
x42.up = 1;
x43.up = 1;
x44.up = 1;
x45.up = 1;
x46.up = 0.26351883;
x47.up = 0.26351883;
x48.up = 0.26351883;
x49.up = 0.22891574;
x50.up = 0.22891574;
x51.up = 0.22891574;
x52.up = 0.21464835;
x53.up = 0.21464835;
x54.up = 0.21464835;
x55.up = 0.17964414;
x56.up = 0.17964414;
x57.up = 0.17964414;
x58.up = 0.17402843;
x59.up = 0.17402843;
x60.up = 0.17402843;
x61.up = 0.15355962;
x62.up = 0.15355962;
x63.up = 0.15355962;
x64.up = 0.1942283;
x65.up = 0.1942283;
x66.up = 0.1942283;
x67.up = 0.25670555;
x68.up = 0.25670555;
x69.up = 0.25670555;
x70.up = 0.27088619;
x71.up = 0.27088619;
x72.up = 0.27088619;
x73.up = 0.28985675;
x74.up = 0.28985675;
x75.up = 0.28985675;
x76.up = 0.25550303;
x77.up = 0.25550303;
x78.up = 0.25550303;
x79.up = 0.19001726;
x80.up = 0.19001726;
x81.up = 0.19001726;
x82.up = 0.23803143;
x83.up = 0.23803143;
x84.up = 0.23803143;
x85.up = 0.23312962;
x86.up = 0.23312962;
x87.up = 0.23312962;
x88.up = 0.27705307;
x89.up = 0.27705307;
x90.up = 0.27705307;
x91.up = 2.02;
x92.up = 4.01333333333333;
x93.up = 4.76;
x94.up = 5.96;
x95.up = 42.0933333333333;
x96.up = 99.28;
x97.up = 6.59333333333333;
x98.up = 61.8666666666667;
x99.up = 56.2866666666667;
x100.up = 41.5;
x101.up = 62.4933333333333;
x102.up = 80.9066666666667;
x103.up = 26.1466666666667;
x104.up = 38;
x105.up = 62.24;
x106.up = 0.5323080366;
x107.up = 0.918715169866666;
x108.up = 1.021726146;
x109.up = 1.0706790744;
x110.up = 7.32543671346667;
x111.up = 15.2453990736;
x112.up = 1.28061192466667;
x113.up = 15.8815166933333;
x114.up = 15.2472806811333;
x115.up = 12.029055125;
x116.up = 15.9672360214667;
x117.up = 15.3736631157333;
x118.up = 6.2237284564;
x119.up = 8.85892556;
x120.up = 17.2437830768;
x121.lo = 0.25788969; x121.up = 0.35227087;
x122.lo = 0.25788969; x122.up = 0.35227087;
x123.lo = 0.25788969; x123.up = 0.35227087;
x124.lo = -0.98493628; x124.up = -0.7794471;
x125.lo = -0.98493628; x125.up = -0.7794471;
x126.lo = -0.98493628; x126.up = -0.7794471;
x127.up = 0.0580296499999999;
x128.up = 0.0580296499999999;
x129.up = 0.0580296499999999;
x130.up = 0.0546689399999999;
x131.up = 0.0546689399999999;
x132.up = 0.0546689399999999;
x133.up = 0.09360565;
x134.up = 0.09360565;
x135.up = 0.09360565;
x136.up = 0.0476880399999999;
x137.up = 0.0476880399999999;
x138.up = 0.0476880399999999;
x139.up = 0.05276021;
x140.up = 0.05276021;
x141.up = 0.05276021;
x142.up = 0.04905388;
x143.up = 0.04905388;
x144.up = 0.04905388;
x145.up = 0.07731692;
x146.up = 0.07731692;
x147.up = 0.07731692;
x148.up = 0.08211741;
x149.up = 0.08211741;
x150.up = 0.08211741;
x151.up = 0.09438118;
x152.up = 0.09438118;
x153.up = 0.09438118;
x154.up = 0.08436757;
x155.up = 0.08436757;
x156.up = 0.08436757;
x157.up = 0.06987597;
x158.up = 0.06987597;
x159.up = 0.06987597;
x160.up = 0.04788831;
x161.up = 0.04788831;
x162.up = 0.04788831;
x163.up = 0.0668875099999999;
x164.up = 0.0668875099999999;
x165.up = 0.0668875099999999;
x166.up = 0.07276512;
x167.up = 0.07276512;
x168.up = 0.07276512;
x169.up = 0.09438118;
x170.up = 0.09438118;
x171.up = 0.09438118;
x172.up = 0.20548918;
x173.up = 0.20548918;
x174.up = 0.20548918;
x175.up = 0.1742468;
x176.up = 0.1742468;
x177.up = 0.1742468;
x178.up = 0.1210427;
x179.up = 0.1210427;
x180.up = 0.1210427;
x181.up = 0.1319561;
x182.up = 0.1319561;
x183.up = 0.1319561;
x184.up = 0.12126822;
x185.up = 0.12126822;
x186.up = 0.12126822;
x187.up = 0.10450574;
x188.up = 0.10450574;
x189.up = 0.10450574;
x190.up = 0.11691138;
x191.up = 0.11691138;
x192.up = 0.11691138;
x193.up = 0.17458814;
x194.up = 0.17458814;
x195.up = 0.17458814;
x196.up = 0.17650501;
x197.up = 0.17650501;
x198.up = 0.17650501;
x199.up = 0.20548918;
x200.up = 0.20548918;
x201.up = 0.20548918;
x202.up = 0.18562706;
x203.up = 0.18562706;
x204.up = 0.18562706;
x205.up = 0.14212895;
x206.up = 0.14212895;
x207.up = 0.14212895;
x208.up = 0.17114392;
x209.up = 0.17114392;
x210.up = 0.17114392;
x211.up = 0.1603645;
x212.up = 0.1603645;
x213.up = 0.1603645;
x214.up = 0.18267189;
x215.up = 0.18267189;
x216.up = 0.18267189;
x217.up = 0.5323080366;
x218.up = 0.918715169866666;
x219.up = 1.021726146;
x220.up = 1.0706790744;
x221.up = 7.32543671346667;
x222.up = 15.2453990736;
x223.up = 1.28061192466667;
x224.up = 15.8815166933333;
x225.up = 15.2472806811333;
x226.up = 12.029055125;
x227.up = 15.9672360214667;
x228.up = 15.3736631157333;
x229.up = 6.2237284564;
x230.up = 8.85892556;
x231.up = 17.2437830768;

Model m / all /;

m.limrow=0; m.limcol=0;
m.tolproj=0.0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;


Last updated: 2024-03-25 Git hash: 1dae024f
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