MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance sfacloc2_4_90

Probabilistic Facility Location and Assignment with Random Demand (given by 5000 scenarios), where 4 facilities can be opened anywhere in the Euclidean plane (distances are measured with the Manhattan (or L1) metric), the facilities are capacitated and each customer is served by a single facility.
The objective is to minimize an upper-bound on the weighted total-distance (i.e., the sum of the product of the demand of each customer times the distance to the facility serving that customer) such that this bound is satisfied with a reliability level of 0.90.
Formats ams gms mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
13.41150335 p1 ( gdx sol )
(infeas: 1e-12)
Other points (infeas > 1e-08)  
Dual Bounds
13.28380165 (ANTIGONE)
13.41150334 (BARON)
13.41150335 (COUENNE)
13.41150335 (LINDO)
13.41150335 (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_4_90_5000.nl from François Margot stochastic instances collection
Application Facility Location
Added to library 12 Aug 2014
Problem type MBNLP
#Variables 368
#Binary Variables 90
#Integer Variables 0
#Nonlinear Variables 135
#Nonlinear Binary Variables 60
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 15
#Nonlinear Nonzeros in Objective 0
#Constraints 599
#Linear Constraints 539
#Quadratic Constraints 0
#Polynomial Constraints 60
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 1546
#Nonlinear Nonzeros in Jacobian 180
#Nonzeros in (Upper-Left) Hessian of Lagrangian 360
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 15
Minimal blocksize in Hessian of Lagrangian 9
Maximal blocksize in Hessian of Lagrangian 9
Average blocksize in Hessian of Lagrangian 9.0
#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
*        600       76      460       64        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        369      279       90        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1562     1382      180        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,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86,b87
          ,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102,b103
          ,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115,b116
          ,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128,b129
          ,b130,b131,b132,b133,b134,b135,x136,x137,x138,x139,x140,x141,x142
          ,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154,x155
          ,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167,x168
          ,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181
          ,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194
          ,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206,x207
          ,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
          ,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232,x233
          ,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245,x246
          ,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258,x259
          ,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271,x272
          ,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284,x285
          ,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297,x298
          ,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310,x311
          ,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324
          ,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336,x337
          ,x338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348,b349,b350
          ,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361,b362,b363
          ,b364,b365,b366,b367,b368,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,x136,x137,x138,x139,x140,x141
          ,x142,x143,x144,x145,x146,x147,x148,x149,x150,x159,x160,x161,x162
          ,x163,x164,x165,x166,x167,x168,x169,x170,x171,x172,x173,x174,x175
          ,x176,x177,x178,x179,x180,x181,x182,x183,x184,x185,x186,x187,x188
          ,x189,x190,x191,x192,x193,x194,x195,x196,x197,x198,x199,x200,x201
          ,x202,x203,x204,x205,x206,x207,x208,x209,x210,x211,x212,x213,x214
          ,x215,x216,x217,x218,x219,x220,x221,x222,x223,x224,x225,x226,x227
          ,x228,x229,x230,x231,x232,x233,x234,x235,x236,x237,x238,x239,x240
          ,x241,x242,x243,x244,x245,x246,x247,x248,x249,x250,x251,x252,x253
          ,x254,x255,x256,x257,x258,x259,x260,x261,x262,x263,x264,x265,x266
          ,x267,x268,x269,x270,x271,x272,x273,x274,x275,x276,x277,x278,x279
          ,x280,x281,x282,x283,x284,x285,x286,x287,x288,x289,x290,x291,x292
          ,x293,x294,x295,x296,x297,x298,x299,x300,x301,x302,x303,x304,x305
          ,x306,x307,x308,x309,x310,x311,x312,x313,x314,x315,x316,x317,x318
          ,x319,x320,x321,x322,x323,x324,x325,x326,x327,x328,x329,x330,x331
          ,x332,x333,x334,x335,x336,x337,x338;

Binary Variables  b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86,b87,b88,b89,b90
          ,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102,b103,b104,b105
          ,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115,b116,b117,b118
          ,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128,b129,b130,b131
          ,b132,b133,b134,b135,b339,b340,b341,b342,b343,b344,b345,b346,b347
          ,b348,b349,b350,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360
          ,b361,b362,b363,b364,b365,b366,b367,b368;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
          ,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
          ,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
          ,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
          ,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
          ,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
          ,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
          ,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
          ,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
          ,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
          ,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
          ,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
          ,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
          ,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
          ,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
          ,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
          ,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
          ,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
          ,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
          ,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
          ,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
          ,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
          ,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
          ,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
          ,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
          ,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
          ,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
          ,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
          ,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
          ,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
          ,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
          ,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441
          ,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
          ,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
          ,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
          ,e481,e482,e483,e484,e485,e486,e487,e488,e489,e490,e491,e492,e493
          ,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
          ,e507,e508,e509,e510,e511,e512,e513,e514,e515,e516,e517,e518,e519
          ,e520,e521,e522,e523,e524,e525,e526,e527,e528,e529,e530,e531,e532
          ,e533,e534,e535,e536,e537,e538,e539,e540,e541,e542,e543,e544,e545
          ,e546,e547,e548,e549,e550,e551,e552,e553,e554,e555,e556,e557,e558
          ,e559,e560,e561,e562,e563,e564,e565,e566,e567,e568,e569,e570,e571
          ,e572,e573,e574,e575,e576,e577,e578,e579,e580,e581,e582,e583,e584
          ,e585,e586,e587,e588,e589,e590,e591,e592,e593,e594,e595,e596,e597
          ,e598,e599,e600;


e1..    x136 + x137 + x138 + x139 + x140 + x141 + x142 + x143 + x144 + x145
      + x146 + x147 + x148 + x149 + x150 - objvar =E= 0;

e2.. -x61*x1*b76 + x279 =G= 0;

e3.. -x61*x2*b77 + x280 =G= 0;

e4.. -x61*x3*b78 + x281 =G= 0;

e5.. -x61*x4*b79 + x282 =G= 0;

e6.. -x62*x5*b80 + x283 =G= 0;

e7.. -x62*x6*b81 + x284 =G= 0;

e8.. -x62*x7*b82 + x285 =G= 0;

e9.. -x62*x8*b83 + x286 =G= 0;

e10.. -x63*x9*b84 + x287 =G= 0;

e11.. -x63*x10*b85 + x288 =G= 0;

e12.. -x63*x11*b86 + x289 =G= 0;

e13.. -x63*x12*b87 + x290 =G= 0;

e14.. -x64*x13*b88 + x291 =G= 0;

e15.. -x64*x14*b89 + x292 =G= 0;

e16.. -x64*x15*b90 + x293 =G= 0;

e17.. -x64*x16*b91 + x294 =G= 0;

e18.. -x65*x17*b92 + x295 =G= 0;

e19.. -x65*x18*b93 + x296 =G= 0;

e20.. -x65*x19*b94 + x297 =G= 0;

e21.. -x65*x20*b95 + x298 =G= 0;

e22.. -x66*x21*b96 + x299 =G= 0;

e23.. -x66*x22*b97 + x300 =G= 0;

e24.. -x66*x23*b98 + x301 =G= 0;

e25.. -x66*x24*b99 + x302 =G= 0;

e26.. -x67*x25*b100 + x303 =G= 0;

e27.. -x67*x26*b101 + x304 =G= 0;

e28.. -x67*x27*b102 + x305 =G= 0;

e29.. -x67*x28*b103 + x306 =G= 0;

e30.. -x68*x29*b104 + x307 =G= 0;

e31.. -x68*x30*b105 + x308 =G= 0;

e32.. -x68*x31*b106 + x309 =G= 0;

e33.. -x68*x32*b107 + x310 =G= 0;

e34.. -x69*x33*b108 + x311 =G= 0;

e35.. -x69*x34*b109 + x312 =G= 0;

e36.. -x69*x35*b110 + x313 =G= 0;

e37.. -x69*x36*b111 + x314 =G= 0;

e38.. -x70*x37*b112 + x315 =G= 0;

e39.. -x70*x38*b113 + x316 =G= 0;

e40.. -x70*x39*b114 + x317 =G= 0;

e41.. -x70*x40*b115 + x318 =G= 0;

e42.. -x71*x41*b116 + x319 =G= 0;

e43.. -x71*x42*b117 + x320 =G= 0;

e44.. -x71*x43*b118 + x321 =G= 0;

e45.. -x71*x44*b119 + x322 =G= 0;

e46.. -x72*x45*b120 + x323 =G= 0;

e47.. -x72*x46*b121 + x324 =G= 0;

e48.. -x72*x47*b122 + x325 =G= 0;

e49.. -x72*x48*b123 + x326 =G= 0;

e50.. -x73*x49*b124 + x327 =G= 0;

e51.. -x73*x50*b125 + x328 =G= 0;

e52.. -x73*x51*b126 + x329 =G= 0;

e53.. -x73*x52*b127 + x330 =G= 0;

e54.. -x74*x53*b128 + x331 =G= 0;

e55.. -x74*x54*b129 + x332 =G= 0;

e56.. -x74*x55*b130 + x333 =G= 0;

e57.. -x74*x56*b131 + x334 =G= 0;

e58.. -x75*x57*b132 + x335 =G= 0;

e59.. -x75*x58*b133 + x336 =G= 0;

e60.. -x75*x59*b134 + x337 =G= 0;

e61.. -x75*x60*b135 + x338 =G= 0;

e62..    b76 + b77 + b78 + b79 =E= 1;

e63..    b80 + b81 + b82 + b83 =E= 1;

e64..    b84 + b85 + b86 + b87 =E= 1;

e65..    b88 + b89 + b90 + b91 =E= 1;

e66..    b92 + b93 + b94 + b95 =E= 1;

e67..    b96 + b97 + b98 + b99 =E= 1;

e68..    b100 + b101 + b102 + b103 =E= 1;

e69..    b104 + b105 + b106 + b107 =E= 1;

e70..    b108 + b109 + b110 + b111 =E= 1;

e71..    b112 + b113 + b114 + b115 =E= 1;

e72..    b116 + b117 + b118 + b119 =E= 1;

e73..    b120 + b121 + b122 + b123 =E= 1;

e74..    b124 + b125 + b126 + b127 =E= 1;

e75..    b128 + b129 + b130 + b131 =E= 1;

e76..    b132 + b133 + b134 + b135 =E= 1;

e77..    2.02*b76 + 4.01333333333333*b80 + 4.76*b84 + 5.96*b88
       + 42.0933333333333*b92 + 99.28*b96 + 6.59333333333333*b100
       + 61.8666666666667*b104 + 56.2866666666667*b108 + 41.5*b112
       + 62.4933333333333*b116 + 80.9066666666667*b120 + 26.1466666666667*b124
       + 38*b128 + 62.24*b132 =L= 153.54;

e78..    2.02*b77 + 4.01333333333333*b81 + 4.76*b85 + 5.96*b89
       + 42.0933333333333*b93 + 99.28*b97 + 6.59333333333333*b101
       + 61.8666666666667*b105 + 56.2866666666667*b109 + 41.5*b113
       + 62.4933333333333*b117 + 80.9066666666667*b121 + 26.1466666666667*b125
       + 38*b129 + 62.24*b133 =L= 153.54;

e79..    2.02*b78 + 4.01333333333333*b82 + 4.76*b86 + 5.96*b90
       + 42.0933333333333*b94 + 99.28*b98 + 6.59333333333333*b102
       + 61.8666666666667*b106 + 56.2866666666667*b110 + 41.5*b114
       + 62.4933333333333*b118 + 80.9066666666667*b122 + 26.1466666666667*b126
       + 38*b130 + 62.24*b134 =L= 153.54;

e80..    2.02*b79 + 4.01333333333333*b83 + 4.76*b87 + 5.96*b91
       + 42.0933333333333*b95 + 99.28*b99 + 6.59333333333333*b103
       + 61.8666666666667*b107 + 56.2866666666667*b111 + 41.5*b115
       + 62.4933333333333*b119 + 80.9066666666667*b123 + 26.1466666666667*b127
       + 38*b131 + 62.24*b135 =L= 153.54;

e81..    x151 + x159 =G= 0.29424122;

e82..    x152 + x160 =G= 0.29424122;

e83..    x153 + x161 =G= 0.29424122;

e84..    x154 + x162 =G= 0.29424122;

e85..    x151 + x163 =G= 0.29760193;

e86..    x152 + x164 =G= 0.29760193;

e87..    x153 + x165 =G= 0.29760193;

e88..    x154 + x166 =G= 0.29760193;

e89..    x151 + x167 =G= 0.35149534;

e90..    x152 + x168 =G= 0.35149534;

e91..    x153 + x169 =G= 0.35149534;

e92..    x154 + x170 =G= 0.35149534;

e93..    x151 + x171 =G= 0.30458283;

e94..    x152 + x172 =G= 0.30458283;

e95..    x153 + x173 =G= 0.30458283;

e96..    x154 + x174 =G= 0.30458283;

e97..    x151 + x175 =G= 0.29951066;

e98..    x152 + x176 =G= 0.29951066;

e99..    x153 + x177 =G= 0.29951066;

e100..    x154 + x178 =G= 0.29951066;

e101..    x151 + x179 =G= 0.30694357;

e102..    x152 + x180 =G= 0.30694357;

e103..    x153 + x181 =G= 0.30694357;

e104..    x154 + x182 =G= 0.30694357;

e105..    x151 + x183 =G= 0.33520661;

e106..    x152 + x184 =G= 0.33520661;

e107..    x153 + x185 =G= 0.33520661;

e108..    x154 + x186 =G= 0.33520661;

e109..    x151 + x187 =G= 0.3400071;

e110..    x152 + x188 =G= 0.3400071;

e111..    x153 + x189 =G= 0.3400071;

e112..    x154 + x190 =G= 0.3400071;

e113..    x151 + x191 =G= 0.35227087;

e114..    x152 + x192 =G= 0.35227087;

e115..    x153 + x193 =G= 0.35227087;

e116..    x154 + x194 =G= 0.35227087;

e117..    x151 + x195 =G= 0.34225726;

e118..    x152 + x196 =G= 0.34225726;

e119..    x153 + x197 =G= 0.34225726;

e120..    x154 + x198 =G= 0.34225726;

e121..    x151 + x199 =G= 0.32776566;

e122..    x152 + x200 =G= 0.32776566;

e123..    x153 + x201 =G= 0.32776566;

e124..    x154 + x202 =G= 0.32776566;

e125..    x151 + x203 =G= 0.30438256;

e126..    x152 + x204 =G= 0.30438256;

e127..    x153 + x205 =G= 0.30438256;

e128..    x154 + x206 =G= 0.30438256;

e129..    x151 + x207 =G= 0.28538336;

e130..    x152 + x208 =G= 0.28538336;

e131..    x153 + x209 =G= 0.28538336;

e132..    x154 + x210 =G= 0.28538336;

e133..    x151 + x211 =G= 0.27950575;

e134..    x152 + x212 =G= 0.27950575;

e135..    x153 + x213 =G= 0.27950575;

e136..    x154 + x214 =G= 0.27950575;

e137..  - x151 + x159 =G= -0.29424122;

e138..  - x152 + x160 =G= -0.29424122;

e139..  - x153 + x161 =G= -0.29424122;

e140..  - x154 + x162 =G= -0.29424122;

e141..  - x151 + x163 =G= -0.29760193;

e142..  - x152 + x164 =G= -0.29760193;

e143..  - x153 + x165 =G= -0.29760193;

e144..  - x154 + x166 =G= -0.29760193;

e145..  - x151 + x167 =G= -0.35149534;

e146..  - x152 + x168 =G= -0.35149534;

e147..  - x153 + x169 =G= -0.35149534;

e148..  - x154 + x170 =G= -0.35149534;

e149..  - x151 + x171 =G= -0.30458283;

e150..  - x152 + x172 =G= -0.30458283;

e151..  - x153 + x173 =G= -0.30458283;

e152..  - x154 + x174 =G= -0.30458283;

e153..  - x151 + x175 =G= -0.29951066;

e154..  - x152 + x176 =G= -0.29951066;

e155..  - x153 + x177 =G= -0.29951066;

e156..  - x154 + x178 =G= -0.29951066;

e157..  - x151 + x179 =G= -0.30694357;

e158..  - x152 + x180 =G= -0.30694357;

e159..  - x153 + x181 =G= -0.30694357;

e160..  - x154 + x182 =G= -0.30694357;

e161..  - x151 + x183 =G= -0.33520661;

e162..  - x152 + x184 =G= -0.33520661;

e163..  - x153 + x185 =G= -0.33520661;

e164..  - x154 + x186 =G= -0.33520661;

e165..  - x151 + x187 =G= -0.3400071;

e166..  - x152 + x188 =G= -0.3400071;

e167..  - x153 + x189 =G= -0.3400071;

e168..  - x154 + x190 =G= -0.3400071;

e169..  - x151 + x195 =G= -0.34225726;

e170..  - x152 + x196 =G= -0.34225726;

e171..  - x153 + x197 =G= -0.34225726;

e172..  - x154 + x198 =G= -0.34225726;

e173..  - x151 + x199 =G= -0.32776566;

e174..  - x152 + x200 =G= -0.32776566;

e175..  - x153 + x201 =G= -0.32776566;

e176..  - x154 + x202 =G= -0.32776566;

e177..  - x151 + x203 =G= -0.30438256;

e178..  - x152 + x204 =G= -0.30438256;

e179..  - x153 + x205 =G= -0.30438256;

e180..  - x154 + x206 =G= -0.30438256;

e181..  - x151 + x207 =G= -0.28538336;

e182..  - x152 + x208 =G= -0.28538336;

e183..  - x153 + x209 =G= -0.28538336;

e184..  - x154 + x210 =G= -0.28538336;

e185..  - x151 + x211 =G= -0.27950575;

e186..  - x152 + x212 =G= -0.27950575;

e187..  - x153 + x213 =G= -0.27950575;

e188..  - x154 + x214 =G= -0.27950575;

e189..  - x151 + x215 =G= -0.25788969;

e190..  - x152 + x216 =G= -0.25788969;

e191..  - x153 + x217 =G= -0.25788969;

e192..  - x154 + x218 =G= -0.25788969;

e193..    x155 + x223 =G= -0.9536939;

e194..    x156 + x224 =G= -0.9536939;

e195..    x157 + x225 =G= -0.9536939;

e196..    x158 + x226 =G= -0.9536939;

e197..    x155 + x227 =G= -0.9004898;

e198..    x156 + x228 =G= -0.9004898;

e199..    x157 + x229 =G= -0.9004898;

e200..    x158 + x230 =G= -0.9004898;

e201..    x155 + x231 =G= -0.9114032;

e202..    x156 + x232 =G= -0.9114032;

e203..    x157 + x233 =G= -0.9114032;

e204..    x158 + x234 =G= -0.9114032;

e205..    x155 + x235 =G= -0.90071532;

e206..    x156 + x236 =G= -0.90071532;

e207..    x157 + x237 =G= -0.90071532;

e208..    x158 + x238 =G= -0.90071532;

e209..    x155 + x239 =G= -0.88043054;

e210..    x156 + x240 =G= -0.88043054;

e211..    x157 + x241 =G= -0.88043054;

e212..    x158 + x242 =G= -0.88043054;

e213..    x155 + x243 =G= -0.8680249;

e214..    x156 + x244 =G= -0.8680249;

e215..    x157 + x245 =G= -0.8680249;

e216..    x158 + x246 =G= -0.8680249;

e217..    x155 + x247 =G= -0.81034814;

e218..    x156 + x248 =G= -0.81034814;

e219..    x157 + x249 =G= -0.81034814;

e220..    x158 + x250 =G= -0.81034814;

e221..    x155 + x251 =G= -0.80843127;

e222..    x156 + x252 =G= -0.80843127;

e223..    x157 + x253 =G= -0.80843127;

e224..    x158 + x254 =G= -0.80843127;

e225..    x155 + x255 =G= -0.7794471;

e226..    x156 + x256 =G= -0.7794471;

e227..    x157 + x257 =G= -0.7794471;

e228..    x158 + x258 =G= -0.7794471;

e229..    x155 + x259 =G= -0.79930922;

e230..    x156 + x260 =G= -0.79930922;

e231..    x157 + x261 =G= -0.79930922;

e232..    x158 + x262 =G= -0.79930922;

e233..    x155 + x263 =G= -0.84280733;

e234..    x156 + x264 =G= -0.84280733;

e235..    x157 + x265 =G= -0.84280733;

e236..    x158 + x266 =G= -0.84280733;

e237..    x155 + x267 =G= -0.81379236;

e238..    x156 + x268 =G= -0.81379236;

e239..    x157 + x269 =G= -0.81379236;

e240..    x158 + x270 =G= -0.81379236;

e241..    x155 + x271 =G= -0.82457178;

e242..    x156 + x272 =G= -0.82457178;

e243..    x157 + x273 =G= -0.82457178;

e244..    x158 + x274 =G= -0.82457178;

e245..    x155 + x275 =G= -0.80226439;

e246..    x156 + x276 =G= -0.80226439;

e247..    x157 + x277 =G= -0.80226439;

e248..    x158 + x278 =G= -0.80226439;

e249..  - x155 + x219 =G= 0.98493628;

e250..  - x156 + x220 =G= 0.98493628;

e251..  - x157 + x221 =G= 0.98493628;

e252..  - x158 + x222 =G= 0.98493628;

e253..  - x155 + x223 =G= 0.9536939;

e254..  - x156 + x224 =G= 0.9536939;

e255..  - x157 + x225 =G= 0.9536939;

e256..  - x158 + x226 =G= 0.9536939;

e257..  - x155 + x227 =G= 0.9004898;

e258..  - x156 + x228 =G= 0.9004898;

e259..  - x157 + x229 =G= 0.9004898;

e260..  - x158 + x230 =G= 0.9004898;

e261..  - x155 + x231 =G= 0.9114032;

e262..  - x156 + x232 =G= 0.9114032;

e263..  - x157 + x233 =G= 0.9114032;

e264..  - x158 + x234 =G= 0.9114032;

e265..  - x155 + x235 =G= 0.90071532;

e266..  - x156 + x236 =G= 0.90071532;

e267..  - x157 + x237 =G= 0.90071532;

e268..  - x158 + x238 =G= 0.90071532;

e269..  - x155 + x239 =G= 0.88043054;

e270..  - x156 + x240 =G= 0.88043054;

e271..  - x157 + x241 =G= 0.88043054;

e272..  - x158 + x242 =G= 0.88043054;

e273..  - x155 + x243 =G= 0.8680249;

e274..  - x156 + x244 =G= 0.8680249;

e275..  - x157 + x245 =G= 0.8680249;

e276..  - x158 + x246 =G= 0.8680249;

e277..  - x155 + x247 =G= 0.81034814;

e278..  - x156 + x248 =G= 0.81034814;

e279..  - x157 + x249 =G= 0.81034814;

e280..  - x158 + x250 =G= 0.81034814;

e281..  - x155 + x251 =G= 0.80843127;

e282..  - x156 + x252 =G= 0.80843127;

e283..  - x157 + x253 =G= 0.80843127;

e284..  - x158 + x254 =G= 0.80843127;

e285..  - x155 + x259 =G= 0.79930922;

e286..  - x156 + x260 =G= 0.79930922;

e287..  - x157 + x261 =G= 0.79930922;

e288..  - x158 + x262 =G= 0.79930922;

e289..  - x155 + x263 =G= 0.84280733;

e290..  - x156 + x264 =G= 0.84280733;

e291..  - x157 + x265 =G= 0.84280733;

e292..  - x158 + x266 =G= 0.84280733;

e293..  - x155 + x267 =G= 0.81379236;

e294..  - x156 + x268 =G= 0.81379236;

e295..  - x157 + x269 =G= 0.81379236;

e296..  - x158 + x270 =G= 0.81379236;

e297..  - x155 + x271 =G= 0.82457178;

e298..  - x156 + x272 =G= 0.82457178;

e299..  - x157 + x273 =G= 0.82457178;

e300..  - x158 + x274 =G= 0.82457178;

e301..  - x155 + x275 =G= 0.80226439;

e302..  - x156 + x276 =G= 0.80226439;

e303..  - x157 + x277 =G= 0.80226439;

e304..  - x158 + x278 =G= 0.80226439;

e305..    x1 - x159 - x219 =E= 0;

e306..    x2 - x160 - x220 =E= 0;

e307..    x3 - x161 - x221 =E= 0;

e308..    x4 - x162 - x222 =E= 0;

e309..    x5 - x163 - x223 =E= 0;

e310..    x6 - x164 - x224 =E= 0;

e311..    x7 - x165 - x225 =E= 0;

e312..    x8 - x166 - x226 =E= 0;

e313..    x9 - x167 - x227 =E= 0;

e314..    x10 - x168 - x228 =E= 0;

e315..    x11 - x169 - x229 =E= 0;

e316..    x12 - x170 - x230 =E= 0;

e317..    x13 - x171 - x231 =E= 0;

e318..    x14 - x172 - x232 =E= 0;

e319..    x15 - x173 - x233 =E= 0;

e320..    x16 - x174 - x234 =E= 0;

e321..    x17 - x175 - x235 =E= 0;

e322..    x18 - x176 - x236 =E= 0;

e323..    x19 - x177 - x237 =E= 0;

e324..    x20 - x178 - x238 =E= 0;

e325..    x21 - x179 - x239 =E= 0;

e326..    x22 - x180 - x240 =E= 0;

e327..    x23 - x181 - x241 =E= 0;

e328..    x24 - x182 - x242 =E= 0;

e329..    x25 - x183 - x243 =E= 0;

e330..    x26 - x184 - x244 =E= 0;

e331..    x27 - x185 - x245 =E= 0;

e332..    x28 - x186 - x246 =E= 0;

e333..    x29 - x187 - x247 =E= 0;

e334..    x30 - x188 - x248 =E= 0;

e335..    x31 - x189 - x249 =E= 0;

e336..    x32 - x190 - x250 =E= 0;

e337..    x33 - x191 - x251 =E= 0;

e338..    x34 - x192 - x252 =E= 0;

e339..    x35 - x193 - x253 =E= 0;

e340..    x36 - x194 - x254 =E= 0;

e341..    x37 - x195 - x255 =E= 0;

e342..    x38 - x196 - x256 =E= 0;

e343..    x39 - x197 - x257 =E= 0;

e344..    x40 - x198 - x258 =E= 0;

e345..    x41 - x199 - x259 =E= 0;

e346..    x42 - x200 - x260 =E= 0;

e347..    x43 - x201 - x261 =E= 0;

e348..    x44 - x202 - x262 =E= 0;

e349..    x45 - x203 - x263 =E= 0;

e350..    x46 - x204 - x264 =E= 0;

e351..    x47 - x205 - x265 =E= 0;

e352..    x48 - x206 - x266 =E= 0;

e353..    x49 - x207 - x267 =E= 0;

e354..    x50 - x208 - x268 =E= 0;

e355..    x51 - x209 - x269 =E= 0;

e356..    x52 - x210 - x270 =E= 0;

e357..    x53 - x211 - x271 =E= 0;

e358..    x54 - x212 - x272 =E= 0;

e359..    x55 - x213 - x273 =E= 0;

e360..    x56 - x214 - x274 =E= 0;

e361..    x57 - x215 - x275 =E= 0;

e362..    x58 - x216 - x276 =E= 0;

e363..    x59 - x217 - x277 =E= 0;

e364..    x60 - x218 - x278 =E= 0;

e365..    b346 + b347 =G= 1;

e366..    b344 + b349 =G= 1;

e367..    b343 + b347 =G= 1;

e368..    b343 + b346 + b348 =G= 1;

e369..    b343 + b345 + b349 =G= 1;

e370..    b343 + b344 =G= 1;

e371..    b342 + b349 =G= 1;

e372..    b342 + b346 =G= 1;

e373..    b341 + b348 =G= 1;

e374..    b341 + b346 + b349 =G= 1;

e375..    b341 + b345 =G= 1;

e376..    b341 + b343 + b349 =G= 1;

e377..    b341 + b343 + b346 =G= 1;

e378..    b341 + b342 =G= 1;

e379..    b340 + b348 =G= 1;

e380..    b340 + b346 + b349 =G= 1;

e381..    b340 + b345 =G= 1;

e382..    b340 + b343 =G= 1;

e383..    b340 + b341 =G= 1;

e384..    b339 + b348 =G= 1;

e385..    b339 + b346 + b349 =G= 1;

e386..    b339 + b345 =G= 1;

e387..    b339 + b343 + b349 =G= 1;

e388..    b339 + b343 + b346 =G= 1;

e389..    b339 + b342 =G= 1;

e390..    b339 + b341 =G= 1;

e391..    b339 + b340 =G= 1;

e392..    b349 + b354 =G= 1;

e393..    b349 + b353 + b355 =G= 1;

e394..    b349 + b352 + b356 =G= 1;

e395..    b349 + b351 =G= 1;

e396..    b349 + b350 + b356 =G= 1;

e397..    b349 + b350 + b353 =G= 1;

e398..    b348 + b355 =G= 1;

e399..    b348 + b353 + b356 =G= 1;

e400..    b348 + b352 =G= 1;

e401..    b348 + b350 =G= 1;

e402..    b347 + b356 =G= 1;

e403..    b347 + b353 =G= 1;

e404..    b347 + b350 =G= 1;

e405..    b346 + b354 =G= 1;

e406..    b346 + b353 + b355 =G= 1;

e407..    b346 + b352 + b356 =G= 1;

e408..    b346 + b351 =G= 1;

e409..    b346 + b350 + b356 =G= 1;

e410..    b346 + b350 + b353 =G= 1;

e411..    b346 + b349 + b355 =G= 1;

e412..    b346 + b349 + b353 + b356 =G= 1;

e413..    b346 + b349 + b352 =G= 1;

e414..    b346 + b349 + b350 =G= 1;

e415..    b346 + b348 + b356 =G= 1;

e416..    b346 + b348 + b353 =G= 1;

e417..    b346 + b348 + b350 =G= 1;

e418..    b345 + b355 =G= 1;

e419..    b345 + b353 + b356 =G= 1;

e420..    b345 + b352 =G= 1;

e421..    b345 + b350 =G= 1;

e422..    b345 + b349 + b356 =G= 1;

e423..    b345 + b349 + b353 =G= 1;

e424..    b345 + b349 + b350 =G= 1;

e425..    b345 + b348 + b356 =G= 1;

e426..    b345 + b348 + b353 =G= 1;

e427..    b345 + b348 + b350 =G= 1;

e428..    b344 + b356 =G= 1;

e429..    b344 + b353 =G= 1;

e430..    b344 + b350 =G= 1;

e431..    b343 + b354 =G= 1;

e432..    b343 + b353 + b355 =G= 1;

e433..    b343 + b352 + b356 =G= 1;

e434..    b343 + b351 =G= 1;

e435..    b343 + b350 + b356 =G= 1;

e436..    b343 + b350 + b353 =G= 1;

e437..    b343 + b349 + b355 =G= 1;

e438..    b343 + b349 + b353 + b356 =G= 1;

e439..    b343 + b349 + b352 =G= 1;

e440..    b343 + b349 + b350 =G= 1;

e441..    b343 + b348 + b356 =G= 1;

e442..    b343 + b348 + b353 =G= 1;

e443..    b343 + b348 + b350 =G= 1;

e444..    b343 + b346 + b355 =G= 1;

e445..    b343 + b346 + b353 + b356 =G= 1;

e446..    b343 + b346 + b352 =G= 1;

e447..    b343 + b346 + b350 =G= 1;

e448..    b343 + b346 + b349 + b356 =G= 1;

e449..    b343 + b346 + b349 + b353 =G= 1;

e450..    b343 + b346 + b349 + b350 =G= 1;

e451..    b343 + b345 + b356 =G= 1;

e452..    b343 + b345 + b353 =G= 1;

e453..    b343 + b345 + b350 =G= 1;

e454..    b342 + b356 =G= 1;

e455..    b342 + b353 =G= 1;

e456..    b342 + b350 =G= 1;

e457..    b341 + b355 =G= 1;

e458..    b341 + b353 + b356 =G= 1;

e459..    b341 + b352 =G= 1;

e460..    b341 + b350 =G= 1;

e461..    b341 + b349 + b356 =G= 1;

e462..    b341 + b349 + b353 =G= 1;

e463..    b341 + b349 + b350 =G= 1;

e464..    b341 + b346 + b356 =G= 1;

e465..    b341 + b346 + b353 =G= 1;

e466..    b341 + b346 + b350 =G= 1;

e467..    b341 + b343 + b356 =G= 1;

e468..    b341 + b343 + b353 =G= 1;

e469..    b341 + b343 + b350 =G= 1;

e470..    b340 + b355 =G= 1;

e471..    b340 + b353 + b356 =G= 1;

e472..    b340 + b352 =G= 1;

e473..    b340 + b350 =G= 1;

e474..    b340 + b349 + b356 =G= 1;

e475..    b340 + b349 + b353 =G= 1;

e476..    b340 + b349 + b350 =G= 1;

e477..    b340 + b346 + b356 =G= 1;

e478..    b340 + b346 + b353 =G= 1;

e479..    b340 + b346 + b350 =G= 1;

e480..    b339 + b355 =G= 1;

e481..    b339 + b353 + b356 =G= 1;

e482..    b339 + b352 =G= 1;

e483..    b339 + b350 =G= 1;

e484..    b339 + b349 + b356 =G= 1;

e485..    b339 + b349 + b353 =G= 1;

e486..    b339 + b349 + b350 =G= 1;

e487..    b339 + b346 + b356 =G= 1;

e488..    b339 + b346 + b353 =G= 1;

e489..    b339 + b346 + b350 =G= 1;

e490..    b339 + b343 + b356 =G= 1;

e491..    b339 + b343 + b353 =G= 1;

e492..    b339 + b343 + b350 =G= 1;

e493..    x61 - 2.02*b339 =G= 0;

e494..    x62 - 4.01333333333333*b340 =G= 0;

e495..    x63 - 4.76*b341 =G= 0;

e496..    x64 - 5.68*b342 =G= 0;

e497..    x64 - 5.96*b343 =G= 0;

e498..    x65 - 38.2666666666667*b344 =G= 0;

e499..    x65 - 40.18*b345 =G= 0;

e500..    x65 - 42.0933333333333*b346 =G= 0;

e501..    x66 - 90.2533333333333*b347 =G= 0;

e502..    x66 - 94.7666666666667*b348 =G= 0;

e503..    x66 - 99.28*b349 =G= 0;

e504..    x67 - 6.59333333333333*b350 =G= 0;

e505..    x68 - 56.24*b351 =G= 0;

e506..    x68 - 59.0533333333333*b352 =G= 0;

e507..    x68 - 61.8666666666667*b353 =G= 0;

e508..    x69 - 51.1733333333333*b354 =G= 0;

e509..    x69 - 53.7333333333333*b355 =G= 0;

e510..    x69 - 56.2866666666667*b356 =G= 0;

e511..    x70 - 35.84*b357 =G= 0;

e512..    x70 - 37.7266666666667*b358 =G= 0;

e513..    x70 - 39.6133333333333*b359 =G= 0;

e514..    x70 - 41.5*b360 =G= 0;

e515..    x71 - 56.8066666666667*b361 =G= 0;

e516..    x71 - 59.6466666666667*b362 =G= 0;

e517..    x71 - 62.4933333333333*b363 =G= 0;

e518..    x72 - 80.9066666666667*b364 =G= 0;

e519..    x73 - 26.1466666666667*b365 =G= 0;

e520..    x74 - 38*b366 =G= 0;

e521..    x75 - 59.2733333333333*b367 =G= 0;

e522..    x75 - 62.24*b368 =G= 0;

e523..  - x136 + x279 =L= 0;

e524..  - x136 + x280 =L= 0;

e525..  - x136 + x281 =L= 0;

e526..  - x136 + x282 =L= 0;

e527..  - x137 + x283 =L= 0;

e528..  - x137 + x284 =L= 0;

e529..  - x137 + x285 =L= 0;

e530..  - x137 + x286 =L= 0;

e531..  - x138 + x287 =L= 0;

e532..  - x138 + x288 =L= 0;

e533..  - x138 + x289 =L= 0;

e534..  - x138 + x290 =L= 0;

e535..  - x139 + x291 =L= 0;

e536..  - x139 + x292 =L= 0;

e537..  - x139 + x293 =L= 0;

e538..  - x139 + x294 =L= 0;

e539..  - x140 + x295 =L= 0;

e540..  - x140 + x296 =L= 0;

e541..  - x140 + x297 =L= 0;

e542..  - x140 + x298 =L= 0;

e543..  - x141 + x299 =L= 0;

e544..  - x141 + x300 =L= 0;

e545..  - x141 + x301 =L= 0;

e546..  - x141 + x302 =L= 0;

e547..  - x142 + x303 =L= 0;

e548..  - x142 + x304 =L= 0;

e549..  - x142 + x305 =L= 0;

e550..  - x142 + x306 =L= 0;

e551..  - x143 + x307 =L= 0;

e552..  - x143 + x308 =L= 0;

e553..  - x143 + x309 =L= 0;

e554..  - x143 + x310 =L= 0;

e555..  - x144 + x311 =L= 0;

e556..  - x144 + x312 =L= 0;

e557..  - x144 + x313 =L= 0;

e558..  - x144 + x314 =L= 0;

e559..  - x145 + x315 =L= 0;

e560..  - x145 + x316 =L= 0;

e561..  - x145 + x317 =L= 0;

e562..  - x145 + x318 =L= 0;

e563..  - x146 + x319 =L= 0;

e564..  - x146 + x320 =L= 0;

e565..  - x146 + x321 =L= 0;

e566..  - x146 + x322 =L= 0;

e567..  - x147 + x323 =L= 0;

e568..  - x147 + x324 =L= 0;

e569..  - x147 + x325 =L= 0;

e570..  - x147 + x326 =L= 0;

e571..  - x148 + x327 =L= 0;

e572..  - x148 + x328 =L= 0;

e573..  - x148 + x329 =L= 0;

e574..  - x148 + x330 =L= 0;

e575..  - x149 + x331 =L= 0;

e576..  - x149 + x332 =L= 0;

e577..  - x149 + x333 =L= 0;

e578..  - x149 + x334 =L= 0;

e579..  - x150 + x335 =L= 0;

e580..  - x150 + x336 =L= 0;

e581..  - x150 + x337 =L= 0;

e582..  - x150 + x338 =L= 0;

e583..    b342 - b343 =G= 0;

e584..    b344 - b345 =G= 0;

e585..    b345 - b346 =G= 0;

e586..    b347 - b348 =G= 0;

e587..    b348 - b349 =G= 0;

e588..    b351 - b352 =G= 0;

e589..    b352 - b353 =G= 0;

e590..    b354 - b355 =G= 0;

e591..    b355 - b356 =G= 0;

e592..    b357 - b358 =G= 0;

e593..    b358 - b359 =G= 0;

e594..    b359 - b360 =G= 0;

e595..    b361 - b362 =G= 0;

e596..    b362 - b363 =G= 0;

e597..    b367 - b368 =G= 0;

e598..    x155 - x156 =G= 0;

e599..    x156 - x157 =G= 0;

e600..    x157 - x158 =G= 0;

* set non-default bounds
x1.up = 0.26351883;
x2.up = 0.26351883;
x3.up = 0.26351883;
x4.up = 0.26351883;
x5.up = 0.22891574;
x6.up = 0.22891574;
x7.up = 0.22891574;
x8.up = 0.22891574;
x9.up = 0.21464835;
x10.up = 0.21464835;
x11.up = 0.21464835;
x12.up = 0.21464835;
x13.up = 0.17964414;
x14.up = 0.17964414;
x15.up = 0.17964414;
x16.up = 0.17964414;
x17.up = 0.17402843;
x18.up = 0.17402843;
x19.up = 0.17402843;
x20.up = 0.17402843;
x21.up = 0.15355962;
x22.up = 0.15355962;
x23.up = 0.15355962;
x24.up = 0.15355962;
x25.up = 0.1942283;
x26.up = 0.1942283;
x27.up = 0.1942283;
x28.up = 0.1942283;
x29.up = 0.25670555;
x30.up = 0.25670555;
x31.up = 0.25670555;
x32.up = 0.25670555;
x33.up = 0.27088619;
x34.up = 0.27088619;
x35.up = 0.27088619;
x36.up = 0.27088619;
x37.up = 0.28985675;
x38.up = 0.28985675;
x39.up = 0.28985675;
x40.up = 0.28985675;
x41.up = 0.25550303;
x42.up = 0.25550303;
x43.up = 0.25550303;
x44.up = 0.25550303;
x45.up = 0.19001726;
x46.up = 0.19001726;
x47.up = 0.19001726;
x48.up = 0.19001726;
x49.up = 0.23803143;
x50.up = 0.23803143;
x51.up = 0.23803143;
x52.up = 0.23803143;
x53.up = 0.23312962;
x54.up = 0.23312962;
x55.up = 0.23312962;
x56.up = 0.23312962;
x57.up = 0.27705307;
x58.up = 0.27705307;
x59.up = 0.27705307;
x60.up = 0.27705307;
x61.lo = 1.92; x61.up = 2.02;
x62.lo = 3.82; x62.up = 4.01333333333333;
x63.lo = 4.53333333333333; x63.up = 4.76;
x64.lo = 5.39333333333333; x64.up = 5.96;
x65.lo = 36.3533333333333; x65.up = 42.0933333333333;
x66.lo = 85.7466666666667; x66.up = 99.28;
x67.lo = 6.28; x67.up = 6.59333333333333;
x68.lo = 53.4333333333333; x68.up = 61.8666666666667;
x69.lo = 48.6133333333333; x69.up = 56.2866666666667;
x70.lo = 33.9533333333333; x70.up = 41.5;
x71.lo = 53.9666666666667; x71.up = 62.4933333333333;
x72.lo = 77.0533333333333; x72.up = 80.9066666666667;
x73.lo = 24.9066666666667; x73.up = 26.1466666666667;
x74.lo = 36.1866666666667; x74.up = 38;
x75.lo = 56.3133333333333; x75.up = 62.24;
x136.up = 0.5323080366;
x137.up = 0.918715169866666;
x138.up = 1.021726146;
x139.up = 1.0706790744;
x140.up = 7.32543671346667;
x141.up = 15.2453990736;
x142.up = 1.28061192466667;
x143.up = 15.8815166933333;
x144.up = 15.2472806811333;
x145.up = 12.029055125;
x146.up = 15.9672360214667;
x147.up = 15.3736631157333;
x148.up = 6.2237284564;
x149.up = 8.85892556;
x150.up = 17.2437830768;
x151.lo = 0.25788969; x151.up = 0.35227087;
x152.lo = 0.25788969; x152.up = 0.35227087;
x153.lo = 0.25788969; x153.up = 0.35227087;
x154.lo = 0.25788969; x154.up = 0.35227087;
x155.lo = -0.98493628; x155.up = -0.7794471;
x156.lo = -0.98493628; x156.up = -0.7794471;
x157.lo = -0.98493628; x157.up = -0.7794471;
x158.lo = -0.98493628; x158.up = -0.7794471;
x159.up = 0.0580296499999999;
x160.up = 0.0580296499999999;
x161.up = 0.0580296499999999;
x162.up = 0.0580296499999999;
x163.up = 0.0546689399999999;
x164.up = 0.0546689399999999;
x165.up = 0.0546689399999999;
x166.up = 0.0546689399999999;
x167.up = 0.09360565;
x168.up = 0.09360565;
x169.up = 0.09360565;
x170.up = 0.09360565;
x171.up = 0.0476880399999999;
x172.up = 0.0476880399999999;
x173.up = 0.0476880399999999;
x174.up = 0.0476880399999999;
x175.up = 0.05276021;
x176.up = 0.05276021;
x177.up = 0.05276021;
x178.up = 0.05276021;
x179.up = 0.04905388;
x180.up = 0.04905388;
x181.up = 0.04905388;
x182.up = 0.04905388;
x183.up = 0.07731692;
x184.up = 0.07731692;
x185.up = 0.07731692;
x186.up = 0.07731692;
x187.up = 0.08211741;
x188.up = 0.08211741;
x189.up = 0.08211741;
x190.up = 0.08211741;
x191.up = 0.09438118;
x192.up = 0.09438118;
x193.up = 0.09438118;
x194.up = 0.09438118;
x195.up = 0.08436757;
x196.up = 0.08436757;
x197.up = 0.08436757;
x198.up = 0.08436757;
x199.up = 0.06987597;
x200.up = 0.06987597;
x201.up = 0.06987597;
x202.up = 0.06987597;
x203.up = 0.04788831;
x204.up = 0.04788831;
x205.up = 0.04788831;
x206.up = 0.04788831;
x207.up = 0.0668875099999999;
x208.up = 0.0668875099999999;
x209.up = 0.0668875099999999;
x210.up = 0.0668875099999999;
x211.up = 0.07276512;
x212.up = 0.07276512;
x213.up = 0.07276512;
x214.up = 0.07276512;
x215.up = 0.09438118;
x216.up = 0.09438118;
x217.up = 0.09438118;
x218.up = 0.09438118;
x219.up = 0.20548918;
x220.up = 0.20548918;
x221.up = 0.20548918;
x222.up = 0.20548918;
x223.up = 0.1742468;
x224.up = 0.1742468;
x225.up = 0.1742468;
x226.up = 0.1742468;
x227.up = 0.1210427;
x228.up = 0.1210427;
x229.up = 0.1210427;
x230.up = 0.1210427;
x231.up = 0.1319561;
x232.up = 0.1319561;
x233.up = 0.1319561;
x234.up = 0.1319561;
x235.up = 0.12126822;
x236.up = 0.12126822;
x237.up = 0.12126822;
x238.up = 0.12126822;
x239.up = 0.10450574;
x240.up = 0.10450574;
x241.up = 0.10450574;
x242.up = 0.10450574;
x243.up = 0.11691138;
x244.up = 0.11691138;
x245.up = 0.11691138;
x246.up = 0.11691138;
x247.up = 0.17458814;
x248.up = 0.17458814;
x249.up = 0.17458814;
x250.up = 0.17458814;
x251.up = 0.17650501;
x252.up = 0.17650501;
x253.up = 0.17650501;
x254.up = 0.17650501;
x255.up = 0.20548918;
x256.up = 0.20548918;
x257.up = 0.20548918;
x258.up = 0.20548918;
x259.up = 0.18562706;
x260.up = 0.18562706;
x261.up = 0.18562706;
x262.up = 0.18562706;
x263.up = 0.14212895;
x264.up = 0.14212895;
x265.up = 0.14212895;
x266.up = 0.14212895;
x267.up = 0.17114392;
x268.up = 0.17114392;
x269.up = 0.17114392;
x270.up = 0.17114392;
x271.up = 0.1603645;
x272.up = 0.1603645;
x273.up = 0.1603645;
x274.up = 0.1603645;
x275.up = 0.18267189;
x276.up = 0.18267189;
x277.up = 0.18267189;
x278.up = 0.18267189;
x279.up = 0.5323080366;
x280.up = 0.5323080366;
x281.up = 0.5323080366;
x282.up = 0.5323080366;
x283.up = 0.918715169866666;
x284.up = 0.918715169866666;
x285.up = 0.918715169866666;
x286.up = 0.918715169866666;
x287.up = 1.021726146;
x288.up = 1.021726146;
x289.up = 1.021726146;
x290.up = 1.021726146;
x291.up = 1.0706790744;
x292.up = 1.0706790744;
x293.up = 1.0706790744;
x294.up = 1.0706790744;
x295.up = 7.32543671346667;
x296.up = 7.32543671346667;
x297.up = 7.32543671346667;
x298.up = 7.32543671346667;
x299.up = 15.2453990736;
x300.up = 15.2453990736;
x301.up = 15.2453990736;
x302.up = 15.2453990736;
x303.up = 1.28061192466667;
x304.up = 1.28061192466667;
x305.up = 1.28061192466667;
x306.up = 1.28061192466667;
x307.up = 15.8815166933333;
x308.up = 15.8815166933333;
x309.up = 15.8815166933333;
x310.up = 15.8815166933333;
x311.up = 15.2472806811333;
x312.up = 15.2472806811333;
x313.up = 15.2472806811333;
x314.up = 15.2472806811333;
x315.up = 12.029055125;
x316.up = 12.029055125;
x317.up = 12.029055125;
x318.up = 12.029055125;
x319.up = 15.9672360214667;
x320.up = 15.9672360214667;
x321.up = 15.9672360214667;
x322.up = 15.9672360214667;
x323.up = 15.3736631157333;
x324.up = 15.3736631157333;
x325.up = 15.3736631157333;
x326.up = 15.3736631157333;
x327.up = 6.2237284564;
x328.up = 6.2237284564;
x329.up = 6.2237284564;
x330.up = 6.2237284564;
x331.up = 8.85892556;
x332.up = 8.85892556;
x333.up = 8.85892556;
x334.up = 8.85892556;
x335.up = 17.2437830768;
x336.up = 17.2437830768;
x337.up = 17.2437830768;
x338.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: 2024-04-02 Git hash: 1dd5fb9b
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