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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)ⓘ | |
| 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 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: 2024-08-26 Git hash: 6cc1607f