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Instance sfacloc1_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 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 0.95.
Formats ams gms mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
11.29914894 p1 ( gdx sol )
(infeas: 3e-14)
11.23403131 p2 ( gdx sol )
(infeas: 5e-10)
11.18412235 p3 ( gdx sol )
(infeas: 7e-14)
Other points (infeas > 1e-08)  
Dual Bounds
0.61476909 (ANTIGONE)
0.00000000 (BARON)
0.00000000 (COUENNE)
0.22425760 (LINDO)
1.54110257 (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_4_95_5000.nl from François Margot stochastic instances collection
Application Facility Location
Added to library 12 Aug 2014
Problem type MBNLP
#Variables 295
#Binary Variables 9
#Integer Variables 0
#Nonlinear Variables 128
#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 354
#Linear Constraints 339
#Quadratic Constraints 7
#Polynomial Constraints 8
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 964
#Nonlinear Nonzeros in Jacobian 128
#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 2.8000e-01
Maximal coefficient 9.9280e+01
Infeasibility of initial point 94.77
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
*        355       99      237       19        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        296      287        9        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*        980      852      128        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,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,b287,b288,b289,b290,b291,b292,b293,b294,b295,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,x121,x122,x123,x124,x125,x126,x127
          ,x128,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;

Binary Variables  b287,b288,b289,b290,b291,b292,b293,b294,b295;

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;


e1..    x129 + x130 + x131 + x132 + x133 + x134 + x135 + x136 + x137 + x138
      + x139 + x140 + x141 + x142 + x143 - objvar =E= 0;

e2.. (-1.01*x1*x61) - 1.01*x2*x62 - 1.01*x3*x63 - 1.01*x4*x64 - 1.01*x61*x1 - 
     1.01*x62*x2 - 1.01*x63*x3 - 1.01*x64*x4 + x272 =E= 0;

e3.. (-2.00666666666667*x5*x65) - 2.00666666666667*x6*x66 - 2.00666666666667*x7
     *x67 - 2.00666666666667*x8*x68 - 2.00666666666667*x65*x5 - 
     2.00666666666667*x66*x6 - 2.00666666666667*x67*x7 - 2.00666666666667*x68*
     x8 + x273 =E= 0;

e4.. (-2.38*x9*x69) - 2.38*x10*x70 - 2.38*x11*x71 - 2.38*x12*x72 - 2.38*x69*x9
      - 2.38*x70*x10 - 2.38*x71*x11 - 2.38*x72*x12 + x274 =E= 0;

e5.. -(x121*x73*x13 + x121*x74*x14 + x121*x75*x15 + x121*x76*x16) + x275 =E= 0;

e6.. -(x122*x77*x17 + x122*x78*x18 + x122*x79*x19 + x122*x80*x20) + x276 =E= 0;

e7.. -(x123*x81*x21 + x123*x82*x22 + x123*x83*x23 + x123*x84*x24) + x277 =E= 0;

e8.. (-3.29666666666667*x25*x85) - 3.29666666666667*x26*x86 - 3.29666666666667*
     x27*x87 - 3.29666666666667*x28*x88 - 3.29666666666667*x85*x25 - 
     3.29666666666667*x86*x26 - 3.29666666666667*x87*x27 - 3.29666666666667*x88
     *x28 + x278 =E= 0;

e9.. -(x124*x89*x29 + x124*x90*x30 + x124*x91*x31 + x124*x92*x32) + x279 =E= 0;

e10.. -(x125*x93*x33 + x125*x94*x34 + x125*x95*x35 + x125*x96*x36) + x280 =E= 0
      ;

e11.. -(x126*x97*x37 + x126*x98*x38 + x126*x99*x39 + x126*x100*x40) + x281
       =E= 0;

e12.. -(x127*x101*x41 + x127*x102*x42 + x127*x103*x43 + x127*x104*x44) + x282
       =E= 0;

e13.. (-40.4533333333333*x45*x105) - 40.4533333333333*x46*x106 - 
      40.4533333333333*x47*x107 - 40.4533333333333*x48*x108 - 40.4533333333333*
      x105*x45 - 40.4533333333333*x106*x46 - 40.4533333333333*x107*x47 - 
      40.4533333333333*x108*x48 + x283 =E= 0;

e14.. (-13.0733333333333*x49*x109) - 13.0733333333333*x50*x110 - 
      13.0733333333333*x51*x111 - 13.0733333333333*x52*x112 - 13.0733333333333*
      x109*x49 - 13.0733333333333*x110*x50 - 13.0733333333333*x111*x51 - 
      13.0733333333333*x112*x52 + x284 =E= 0;

e15.. (-19*x53*x113) - 19*x54*x114 - 19*x55*x115 - 19*x56*x116 - 19*x113*x53 - 
      19*x114*x54 - 19*x115*x55 - 19*x116*x56 + x285 =E= 0;

e16.. -(x128*x117*x57 + x128*x118*x58 + x128*x119*x59 + x128*x120*x60) + x286
       =E= 0;

e17..    x1 + x2 + x3 + x4 =E= 1;

e18..    x5 + x6 + x7 + x8 =E= 1;

e19..    x9 + x10 + x11 + x12 =E= 1;

e20..    x13 + x14 + x15 + x16 =E= 1;

e21..    x17 + x18 + x19 + x20 =E= 1;

e22..    x21 + x22 + x23 + x24 =E= 1;

e23..    x25 + x26 + x27 + x28 =E= 1;

e24..    x29 + x30 + x31 + x32 =E= 1;

e25..    x33 + x34 + x35 + x36 =E= 1;

e26..    x37 + x38 + x39 + x40 =E= 1;

e27..    x41 + x42 + x43 + x44 =E= 1;

e28..    x45 + x46 + x47 + x48 =E= 1;

e29..    x49 + x50 + x51 + x52 =E= 1;

e30..    x53 + x54 + x55 + x56 =E= 1;

e31..    x57 + x58 + x59 + x60 =E= 1;

e32..    2.02*x1 + 4.01333333333333*x5 + 4.76*x9 + 5.96*x13
       + 42.0933333333333*x17 + 99.28*x21 + 6.59333333333333*x25
       + 61.8666666666667*x29 + 56.2866666666667*x33 + 41.5*x37
       + 62.4933333333333*x41 + 80.9066666666667*x45 + 26.1466666666667*x49
       + 38*x53 + 62.24*x57 =L= 153.54;

e33..    2.02*x2 + 4.01333333333333*x6 + 4.76*x10 + 5.96*x14
       + 42.0933333333333*x18 + 99.28*x22 + 6.59333333333333*x26
       + 61.8666666666667*x30 + 56.2866666666667*x34 + 41.5*x38
       + 62.4933333333333*x42 + 80.9066666666667*x46 + 26.1466666666667*x50
       + 38*x54 + 62.24*x58 =L= 153.54;

e34..    2.02*x3 + 4.01333333333333*x7 + 4.76*x11 + 5.96*x15
       + 42.0933333333333*x19 + 99.28*x23 + 6.59333333333333*x27
       + 61.8666666666667*x31 + 56.2866666666667*x35 + 41.5*x39
       + 62.4933333333333*x43 + 80.9066666666667*x47 + 26.1466666666667*x51
       + 38*x55 + 62.24*x59 =L= 153.54;

e35..    2.02*x4 + 4.01333333333333*x8 + 4.76*x12 + 5.96*x16
       + 42.0933333333333*x20 + 99.28*x24 + 6.59333333333333*x28
       + 61.8666666666667*x32 + 56.2866666666667*x36 + 41.5*x40
       + 62.4933333333333*x44 + 80.9066666666667*x48 + 26.1466666666667*x52
       + 38*x56 + 62.24*x60 =L= 153.54;

e36..    x144 + x152 =G= 0.29424122;

e37..    x145 + x153 =G= 0.29424122;

e38..    x146 + x154 =G= 0.29424122;

e39..    x147 + x155 =G= 0.29424122;

e40..    x144 + x156 =G= 0.29760193;

e41..    x145 + x157 =G= 0.29760193;

e42..    x146 + x158 =G= 0.29760193;

e43..    x147 + x159 =G= 0.29760193;

e44..    x144 + x160 =G= 0.35149534;

e45..    x145 + x161 =G= 0.35149534;

e46..    x146 + x162 =G= 0.35149534;

e47..    x147 + x163 =G= 0.35149534;

e48..    x144 + x164 =G= 0.30458283;

e49..    x145 + x165 =G= 0.30458283;

e50..    x146 + x166 =G= 0.30458283;

e51..    x147 + x167 =G= 0.30458283;

e52..    x144 + x168 =G= 0.29951066;

e53..    x145 + x169 =G= 0.29951066;

e54..    x146 + x170 =G= 0.29951066;

e55..    x147 + x171 =G= 0.29951066;

e56..    x144 + x172 =G= 0.30694357;

e57..    x145 + x173 =G= 0.30694357;

e58..    x146 + x174 =G= 0.30694357;

e59..    x147 + x175 =G= 0.30694357;

e60..    x144 + x176 =G= 0.33520661;

e61..    x145 + x177 =G= 0.33520661;

e62..    x146 + x178 =G= 0.33520661;

e63..    x147 + x179 =G= 0.33520661;

e64..    x144 + x180 =G= 0.3400071;

e65..    x145 + x181 =G= 0.3400071;

e66..    x146 + x182 =G= 0.3400071;

e67..    x147 + x183 =G= 0.3400071;

e68..    x144 + x184 =G= 0.35227087;

e69..    x145 + x185 =G= 0.35227087;

e70..    x146 + x186 =G= 0.35227087;

e71..    x147 + x187 =G= 0.35227087;

e72..    x144 + x188 =G= 0.34225726;

e73..    x145 + x189 =G= 0.34225726;

e74..    x146 + x190 =G= 0.34225726;

e75..    x147 + x191 =G= 0.34225726;

e76..    x144 + x192 =G= 0.32776566;

e77..    x145 + x193 =G= 0.32776566;

e78..    x146 + x194 =G= 0.32776566;

e79..    x147 + x195 =G= 0.32776566;

e80..    x144 + x196 =G= 0.30438256;

e81..    x145 + x197 =G= 0.30438256;

e82..    x146 + x198 =G= 0.30438256;

e83..    x147 + x199 =G= 0.30438256;

e84..    x144 + x200 =G= 0.28538336;

e85..    x145 + x201 =G= 0.28538336;

e86..    x146 + x202 =G= 0.28538336;

e87..    x147 + x203 =G= 0.28538336;

e88..    x144 + x204 =G= 0.27950575;

e89..    x145 + x205 =G= 0.27950575;

e90..    x146 + x206 =G= 0.27950575;

e91..    x147 + x207 =G= 0.27950575;

e92..  - x144 + x152 =G= -0.29424122;

e93..  - x145 + x153 =G= -0.29424122;

e94..  - x146 + x154 =G= -0.29424122;

e95..  - x147 + x155 =G= -0.29424122;

e96..  - x144 + x156 =G= -0.29760193;

e97..  - x145 + x157 =G= -0.29760193;

e98..  - x146 + x158 =G= -0.29760193;

e99..  - x147 + x159 =G= -0.29760193;

e100..  - x144 + x160 =G= -0.35149534;

e101..  - x145 + x161 =G= -0.35149534;

e102..  - x146 + x162 =G= -0.35149534;

e103..  - x147 + x163 =G= -0.35149534;

e104..  - x144 + x164 =G= -0.30458283;

e105..  - x145 + x165 =G= -0.30458283;

e106..  - x146 + x166 =G= -0.30458283;

e107..  - x147 + x167 =G= -0.30458283;

e108..  - x144 + x168 =G= -0.29951066;

e109..  - x145 + x169 =G= -0.29951066;

e110..  - x146 + x170 =G= -0.29951066;

e111..  - x147 + x171 =G= -0.29951066;

e112..  - x144 + x172 =G= -0.30694357;

e113..  - x145 + x173 =G= -0.30694357;

e114..  - x146 + x174 =G= -0.30694357;

e115..  - x147 + x175 =G= -0.30694357;

e116..  - x144 + x176 =G= -0.33520661;

e117..  - x145 + x177 =G= -0.33520661;

e118..  - x146 + x178 =G= -0.33520661;

e119..  - x147 + x179 =G= -0.33520661;

e120..  - x144 + x180 =G= -0.3400071;

e121..  - x145 + x181 =G= -0.3400071;

e122..  - x146 + x182 =G= -0.3400071;

e123..  - x147 + x183 =G= -0.3400071;

e124..  - x144 + x188 =G= -0.34225726;

e125..  - x145 + x189 =G= -0.34225726;

e126..  - x146 + x190 =G= -0.34225726;

e127..  - x147 + x191 =G= -0.34225726;

e128..  - x144 + x192 =G= -0.32776566;

e129..  - x145 + x193 =G= -0.32776566;

e130..  - x146 + x194 =G= -0.32776566;

e131..  - x147 + x195 =G= -0.32776566;

e132..  - x144 + x196 =G= -0.30438256;

e133..  - x145 + x197 =G= -0.30438256;

e134..  - x146 + x198 =G= -0.30438256;

e135..  - x147 + x199 =G= -0.30438256;

e136..  - x144 + x200 =G= -0.28538336;

e137..  - x145 + x201 =G= -0.28538336;

e138..  - x146 + x202 =G= -0.28538336;

e139..  - x147 + x203 =G= -0.28538336;

e140..  - x144 + x204 =G= -0.27950575;

e141..  - x145 + x205 =G= -0.27950575;

e142..  - x146 + x206 =G= -0.27950575;

e143..  - x147 + x207 =G= -0.27950575;

e144..  - x144 + x208 =G= -0.25788969;

e145..  - x145 + x209 =G= -0.25788969;

e146..  - x146 + x210 =G= -0.25788969;

e147..  - x147 + x211 =G= -0.25788969;

e148..    x148 + x216 =G= -0.9536939;

e149..    x149 + x217 =G= -0.9536939;

e150..    x150 + x218 =G= -0.9536939;

e151..    x151 + x219 =G= -0.9536939;

e152..    x148 + x220 =G= -0.9004898;

e153..    x149 + x221 =G= -0.9004898;

e154..    x150 + x222 =G= -0.9004898;

e155..    x151 + x223 =G= -0.9004898;

e156..    x148 + x224 =G= -0.9114032;

e157..    x149 + x225 =G= -0.9114032;

e158..    x150 + x226 =G= -0.9114032;

e159..    x151 + x227 =G= -0.9114032;

e160..    x148 + x228 =G= -0.90071532;

e161..    x149 + x229 =G= -0.90071532;

e162..    x150 + x230 =G= -0.90071532;

e163..    x151 + x231 =G= -0.90071532;

e164..    x148 + x232 =G= -0.88043054;

e165..    x149 + x233 =G= -0.88043054;

e166..    x150 + x234 =G= -0.88043054;

e167..    x151 + x235 =G= -0.88043054;

e168..    x148 + x236 =G= -0.8680249;

e169..    x149 + x237 =G= -0.8680249;

e170..    x150 + x238 =G= -0.8680249;

e171..    x151 + x239 =G= -0.8680249;

e172..    x148 + x240 =G= -0.81034814;

e173..    x149 + x241 =G= -0.81034814;

e174..    x150 + x242 =G= -0.81034814;

e175..    x151 + x243 =G= -0.81034814;

e176..    x148 + x244 =G= -0.80843127;

e177..    x149 + x245 =G= -0.80843127;

e178..    x150 + x246 =G= -0.80843127;

e179..    x151 + x247 =G= -0.80843127;

e180..    x148 + x248 =G= -0.7794471;

e181..    x149 + x249 =G= -0.7794471;

e182..    x150 + x250 =G= -0.7794471;

e183..    x151 + x251 =G= -0.7794471;

e184..    x148 + x252 =G= -0.79930922;

e185..    x149 + x253 =G= -0.79930922;

e186..    x150 + x254 =G= -0.79930922;

e187..    x151 + x255 =G= -0.79930922;

e188..    x148 + x256 =G= -0.84280733;

e189..    x149 + x257 =G= -0.84280733;

e190..    x150 + x258 =G= -0.84280733;

e191..    x151 + x259 =G= -0.84280733;

e192..    x148 + x260 =G= -0.81379236;

e193..    x149 + x261 =G= -0.81379236;

e194..    x150 + x262 =G= -0.81379236;

e195..    x151 + x263 =G= -0.81379236;

e196..    x148 + x264 =G= -0.82457178;

e197..    x149 + x265 =G= -0.82457178;

e198..    x150 + x266 =G= -0.82457178;

e199..    x151 + x267 =G= -0.82457178;

e200..    x148 + x268 =G= -0.80226439;

e201..    x149 + x269 =G= -0.80226439;

e202..    x150 + x270 =G= -0.80226439;

e203..    x151 + x271 =G= -0.80226439;

e204..  - x148 + x212 =G= 0.98493628;

e205..  - x149 + x213 =G= 0.98493628;

e206..  - x150 + x214 =G= 0.98493628;

e207..  - x151 + x215 =G= 0.98493628;

e208..  - x148 + x216 =G= 0.9536939;

e209..  - x149 + x217 =G= 0.9536939;

e210..  - x150 + x218 =G= 0.9536939;

e211..  - x151 + x219 =G= 0.9536939;

e212..  - x148 + x220 =G= 0.9004898;

e213..  - x149 + x221 =G= 0.9004898;

e214..  - x150 + x222 =G= 0.9004898;

e215..  - x151 + x223 =G= 0.9004898;

e216..  - x148 + x224 =G= 0.9114032;

e217..  - x149 + x225 =G= 0.9114032;

e218..  - x150 + x226 =G= 0.9114032;

e219..  - x151 + x227 =G= 0.9114032;

e220..  - x148 + x228 =G= 0.90071532;

e221..  - x149 + x229 =G= 0.90071532;

e222..  - x150 + x230 =G= 0.90071532;

e223..  - x151 + x231 =G= 0.90071532;

e224..  - x148 + x232 =G= 0.88043054;

e225..  - x149 + x233 =G= 0.88043054;

e226..  - x150 + x234 =G= 0.88043054;

e227..  - x151 + x235 =G= 0.88043054;

e228..  - x148 + x236 =G= 0.8680249;

e229..  - x149 + x237 =G= 0.8680249;

e230..  - x150 + x238 =G= 0.8680249;

e231..  - x151 + x239 =G= 0.8680249;

e232..  - x148 + x240 =G= 0.81034814;

e233..  - x149 + x241 =G= 0.81034814;

e234..  - x150 + x242 =G= 0.81034814;

e235..  - x151 + x243 =G= 0.81034814;

e236..  - x148 + x244 =G= 0.80843127;

e237..  - x149 + x245 =G= 0.80843127;

e238..  - x150 + x246 =G= 0.80843127;

e239..  - x151 + x247 =G= 0.80843127;

e240..  - x148 + x252 =G= 0.79930922;

e241..  - x149 + x253 =G= 0.79930922;

e242..  - x150 + x254 =G= 0.79930922;

e243..  - x151 + x255 =G= 0.79930922;

e244..  - x148 + x256 =G= 0.84280733;

e245..  - x149 + x257 =G= 0.84280733;

e246..  - x150 + x258 =G= 0.84280733;

e247..  - x151 + x259 =G= 0.84280733;

e248..  - x148 + x260 =G= 0.81379236;

e249..  - x149 + x261 =G= 0.81379236;

e250..  - x150 + x262 =G= 0.81379236;

e251..  - x151 + x263 =G= 0.81379236;

e252..  - x148 + x264 =G= 0.82457178;

e253..  - x149 + x265 =G= 0.82457178;

e254..  - x150 + x266 =G= 0.82457178;

e255..  - x151 + x267 =G= 0.82457178;

e256..  - x148 + x268 =G= 0.80226439;

e257..  - x149 + x269 =G= 0.80226439;

e258..  - x150 + x270 =G= 0.80226439;

e259..  - x151 + x271 =G= 0.80226439;

e260..    x61 - x152 - x212 =E= 0;

e261..    x62 - x153 - x213 =E= 0;

e262..    x63 - x154 - x214 =E= 0;

e263..    x64 - x155 - x215 =E= 0;

e264..    x65 - x156 - x216 =E= 0;

e265..    x66 - x157 - x217 =E= 0;

e266..    x67 - x158 - x218 =E= 0;

e267..    x68 - x159 - x219 =E= 0;

e268..    x69 - x160 - x220 =E= 0;

e269..    x70 - x161 - x221 =E= 0;

e270..    x71 - x162 - x222 =E= 0;

e271..    x72 - x163 - x223 =E= 0;

e272..    x73 - x164 - x224 =E= 0;

e273..    x74 - x165 - x225 =E= 0;

e274..    x75 - x166 - x226 =E= 0;

e275..    x76 - x167 - x227 =E= 0;

e276..    x77 - x168 - x228 =E= 0;

e277..    x78 - x169 - x229 =E= 0;

e278..    x79 - x170 - x230 =E= 0;

e279..    x80 - x171 - x231 =E= 0;

e280..    x81 - x172 - x232 =E= 0;

e281..    x82 - x173 - x233 =E= 0;

e282..    x83 - x174 - x234 =E= 0;

e283..    x84 - x175 - x235 =E= 0;

e284..    x85 - x176 - x236 =E= 0;

e285..    x86 - x177 - x237 =E= 0;

e286..    x87 - x178 - x238 =E= 0;

e287..    x88 - x179 - x239 =E= 0;

e288..    x89 - x180 - x240 =E= 0;

e289..    x90 - x181 - x241 =E= 0;

e290..    x91 - x182 - x242 =E= 0;

e291..    x92 - x183 - x243 =E= 0;

e292..    x93 - x184 - x244 =E= 0;

e293..    x94 - x185 - x245 =E= 0;

e294..    x95 - x186 - x246 =E= 0;

e295..    x96 - x187 - x247 =E= 0;

e296..    x97 - x188 - x248 =E= 0;

e297..    x98 - x189 - x249 =E= 0;

e298..    x99 - x190 - x250 =E= 0;

e299..    x100 - x191 - x251 =E= 0;

e300..    x101 - x192 - x252 =E= 0;

e301..    x102 - x193 - x253 =E= 0;

e302..    x103 - x194 - x254 =E= 0;

e303..    x104 - x195 - x255 =E= 0;

e304..    x105 - x196 - x256 =E= 0;

e305..    x106 - x197 - x257 =E= 0;

e306..    x107 - x198 - x258 =E= 0;

e307..    x108 - x199 - x259 =E= 0;

e308..    x109 - x200 - x260 =E= 0;

e309..    x110 - x201 - x261 =E= 0;

e310..    x111 - x202 - x262 =E= 0;

e311..    x112 - x203 - x263 =E= 0;

e312..    x113 - x204 - x264 =E= 0;

e313..    x114 - x205 - x265 =E= 0;

e314..    x115 - x206 - x266 =E= 0;

e315..    x116 - x207 - x267 =E= 0;

e316..    x117 - x208 - x268 =E= 0;

e317..    x118 - x209 - x269 =E= 0;

e318..    x119 - x210 - x270 =E= 0;

e319..    x120 - x211 - x271 =E= 0;

e320..    b288 + b289 =G= 1;

e321..    b287 + b289 =G= 1;

e322..    b287 + b288 =G= 1;

e323..    b289 + b291 =G= 1;

e324..    b289 + b290 =G= 1;

e325..    b288 + b291 =G= 1;

e326..    b288 + b290 =G= 1;

e327..    b287 + b291 =G= 1;

e328..    b287 + b290 =G= 1;

e329..    b292 - b293 =G= 0;

e330..    x148 - x149 =G= 0;

e331..    x149 - x150 =G= 0;

e332..    x150 - x151 =G= 0;

e333..    x121 - 0.28*b287 =E= 5.68;

e334..    x122 - 1.91333333333333*b288 =E= 40.18;

e335..    x123 - 4.51333333333333*b289 =E= 94.7666666666667;

e336..    x124 - 2.81333333333333*b290 =E= 59.0533333333333;

e337..    x125 - 2.55333333333333*b291 =E= 53.7333333333333;

e338..    x126 - 1.88666666666667*b292 - 1.88666666666667*b293
        =E= 37.7266666666667;

e339..    x127 - 2.84666666666667*b294 =E= 59.6466666666667;

e340..    x128 - 2.96666666666667*b295 =E= 59.2733333333333;

e341..  - x129 + x272 =L= 0;

e342..  - x130 + x273 =L= 0;

e343..  - x131 + x274 =L= 0;

e344..  - x132 + x275 =L= 0;

e345..  - x133 + x276 =L= 0;

e346..  - x134 + x277 =L= 0;

e347..  - x135 + x278 =L= 0;

e348..  - x136 + x279 =L= 0;

e349..  - x137 + x280 =L= 0;

e350..  - x138 + x281 =L= 0;

e351..  - x139 + x282 =L= 0;

e352..  - x140 + x283 =L= 0;

e353..  - x141 + x284 =L= 0;

e354..  - x142 + x285 =L= 0;

e355..  - x143 + x286 =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 = 1;
x47.up = 1;
x48.up = 1;
x49.up = 1;
x50.up = 1;
x51.up = 1;
x52.up = 1;
x53.up = 1;
x54.up = 1;
x55.up = 1;
x56.up = 1;
x57.up = 1;
x58.up = 1;
x59.up = 1;
x60.up = 1;
x61.up = 0.26351883;
x62.up = 0.26351883;
x63.up = 0.26351883;
x64.up = 0.26351883;
x65.up = 0.22891574;
x66.up = 0.22891574;
x67.up = 0.22891574;
x68.up = 0.22891574;
x69.up = 0.21464835;
x70.up = 0.21464835;
x71.up = 0.21464835;
x72.up = 0.21464835;
x73.up = 0.17964414;
x74.up = 0.17964414;
x75.up = 0.17964414;
x76.up = 0.17964414;
x77.up = 0.17402843;
x78.up = 0.17402843;
x79.up = 0.17402843;
x80.up = 0.17402843;
x81.up = 0.15355962;
x82.up = 0.15355962;
x83.up = 0.15355962;
x84.up = 0.15355962;
x85.up = 0.1942283;
x86.up = 0.1942283;
x87.up = 0.1942283;
x88.up = 0.1942283;
x89.up = 0.25670555;
x90.up = 0.25670555;
x91.up = 0.25670555;
x92.up = 0.25670555;
x93.up = 0.27088619;
x94.up = 0.27088619;
x95.up = 0.27088619;
x96.up = 0.27088619;
x97.up = 0.28985675;
x98.up = 0.28985675;
x99.up = 0.28985675;
x100.up = 0.28985675;
x101.up = 0.25550303;
x102.up = 0.25550303;
x103.up = 0.25550303;
x104.up = 0.25550303;
x105.up = 0.19001726;
x106.up = 0.19001726;
x107.up = 0.19001726;
x108.up = 0.19001726;
x109.up = 0.23803143;
x110.up = 0.23803143;
x111.up = 0.23803143;
x112.up = 0.23803143;
x113.up = 0.23312962;
x114.up = 0.23312962;
x115.up = 0.23312962;
x116.up = 0.23312962;
x117.up = 0.27705307;
x118.up = 0.27705307;
x119.up = 0.27705307;
x120.up = 0.27705307;
x121.up = 5.96;
x122.up = 42.0933333333333;
x123.up = 99.28;
x124.up = 61.8666666666667;
x125.up = 56.2866666666667;
x126.up = 41.5;
x127.up = 62.4933333333333;
x128.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 = 0.918715169866666;
x274.up = 1.021726146;
x275.up = 1.0706790744;
x276.up = 7.32543671346667;
x277.up = 15.2453990736;
x278.up = 1.28061192466667;
x279.up = 15.8815166933333;
x280.up = 15.2472806811333;
x281.up = 12.029055125;
x282.up = 15.9672360214667;
x283.up = 15.3736631157333;
x284.up = 6.2237284564;
x285.up = 8.85892556;
x286.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: 2022-05-24 Git hash: 1198c186
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