MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance squfl010-040
Separable quadratic uncapacitated facility location problem. A set of customers, each having unit demand, has to be satisfied by open facilities. The objective is to minimize the sum of the fixed cost for operating facilities and the shipping cost which is proportional to the square of the quantity delivered to each customer.
Formatsⓘ | ams gms lp mod nl osil pip py |
Primal Bounds (infeas ≤ 1e-08)ⓘ | |
Other points (infeas > 1e-08)ⓘ | |
Dual Boundsⓘ | -576.90649990 (ALPHAECP) 240.59485050 (ANTIGONE) 240.59852590 (BARON) 240.59852600 (BONMIN) 240.59834470 (COUENNE) 240.59852620 (CPLEX) 240.59852620 (GUROBI) 240.59852620 (LINDO) 240.59852400 (SCIP) 240.59852620 (SHOT) |
Referencesⓘ | Günlük, Oktay, Lee, Jon, and Weismantel, Robert, MINLP Strengthening for Separable Convex Quadratic Transportation-Cost UFL, Tech. Rep. RC24213, IBM Research, 2007. Günlük, Oktay and Linderoth, Jeff T, Perspective reformulations of mixed integer nonlinear programs with indicator variables, Mathematical Programming, 124:1-2, 2010, 183-205. Günlük, Oktay and Linderoth, Jeff T, Perspective Reformulation and Applications. In Lee, Jon and Leyffer, Sven, Eds, Mixed Integer Nonlinear Programming, Springer, 2012, 61-89. |
Applicationⓘ | Facility Location |
Added to libraryⓘ | 24 Feb 2014 |
Problem typeⓘ | MBQP |
#Variablesⓘ | 410 |
#Binary Variablesⓘ | 10 |
#Integer Variablesⓘ | 0 |
#Nonlinear Variablesⓘ | 400 |
#Nonlinear Binary Variablesⓘ | 0 |
#Nonlinear Integer Variablesⓘ | 0 |
Objective Senseⓘ | min |
Objective typeⓘ | quadratic |
Objective curvatureⓘ | convex |
#Nonzeros in Objectiveⓘ | 410 |
#Nonlinear Nonzeros in Objectiveⓘ | 400 |
#Constraintsⓘ | 440 |
#Linear Constraintsⓘ | 440 |
#Quadratic Constraintsⓘ | 0 |
#Polynomial Constraintsⓘ | 0 |
#Signomial Constraintsⓘ | 0 |
#General Nonlinear Constraintsⓘ | 0 |
Operands in Gen. Nonlin. Functionsⓘ | |
Constraints curvatureⓘ | linear |
#Nonzeros in Jacobianⓘ | 1200 |
#Nonlinear Nonzeros in Jacobianⓘ | 0 |
#Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 400 |
#Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 400 |
#Blocks in Hessian of Lagrangianⓘ | 400 |
Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
Maximal blocksize in Hessian of Lagrangianⓘ | 1 |
Average blocksize in Hessian of Lagrangianⓘ | 1.0 |
#Semicontinuitiesⓘ | 0 |
#Nonlinear Semicontinuitiesⓘ | 0 |
#SOS type 1ⓘ | 0 |
#SOS type 2ⓘ | 0 |
Minimal coefficientⓘ | 1.0000e+00 |
Maximal coefficientⓘ | 9.6000e+01 |
Infeasibility of initial pointⓘ | 1 |
Sparsity Jacobianⓘ | |
Sparsity Hessian of Lagrangianⓘ |
$offlisting * * Equation counts * Total E G L N X C B * 441 41 0 400 0 0 0 0 * * Variable counts * x b i s1s s2s sc si * Total cont binary integer sos1 sos2 scont sint * 411 401 10 0 0 0 0 0 * FX 0 * * Nonzero counts * Total const NL DLL * 1611 1211 400 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,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,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349,x350 ,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362,x363 ,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375,x376 ,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388,x389 ,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,b401,b402 ,b403,b404,b405,b406,b407,b408,b409,b410,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,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,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348 ,x349,x350,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361 ,x362,x363,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374 ,x375,x376,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387 ,x388,x389,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400; Binary Variables b401,b402,b403,b404,b405,b406,b407,b408,b409,b410; 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; e1.. -(22.6381215938389*x1*x1 + 17.4766742929333*x2*x2 + 25.4187922554943*x3*x3 + 27.1035680108328*x4*x4 + 23.5265920480145*x5*x5 + 15.0632062277023*x6* x6 + 20.9421663198548*x7*x7 + 26.8892056897746*x8*x8 + 20.0917422875622*x9 *x9 + 22.0772847970411*x10*x10 + 27.2388846140546*x11*x11 + 9.91963706190005*x12*x12 + 19.7178101724914*x13*x13 + 24.8309507278873*x14 *x14 + 8.9002697856764*x15*x15 + 16.6041126627463*x16*x16 + 20.9076060331827*x17*x17 + 16.4388004434191*x18*x18 + 16.5182812638846*x19 *x19 + 9.88089720278549*x20*x20 + 12.1667353823901*x21*x21 + 24.3980080339173*x22*x22 + 5.89692650301416*x23*x23 + 27.3832431206695*x24 *x24 + 25.1917920228286*x25*x25 + 22.2371740468545*x26*x26 + 18.6146514682277*x27*x27 + 16.2386002137011*x28*x28 + 11.7825630607253*x29 *x29 + 16.4103192237971*x30*x30 + 14.0196662324014*x31*x31 + 27.5888902829072*x32*x32 + 32.1142581799004*x33*x33 + 21.8448948139885*x34 *x34 + 15.6688171723033*x35*x35 + 10.5878182197044*x36*x36 + 21.2659919405636*x37*x37 + 19.9399176135982*x38*x38 + 20.4104873074429*x39 *x39 + 13.8610580105744*x40*x40 + 45.1831182079448*x41*x41 + 41.8922529723062*x42*x42 + 25.9983886435708*x43*x43 + 18.4146205683989*x44 *x44 + 44.4508052690104*x45*x45 + 43.222614022418*x46*x46 + 7.83087186917261*x47*x47 + 44.0974324424632*x48*x48 + 24.1032080114607*x49 *x49 + 21.3901261474851*x50*x50 + 14.2786694069753*x51*x51 + 19.6496550606165*x52*x52 + 37.1545124093958*x53*x53 + 48.6880643503487*x54 *x54 + 37.4288246723691*x55*x55 + 21.1065932390664*x56*x56 + 8.59743563059761*x57*x57 + 43.7082794462957*x58*x58 + 26.9893113680541*x59 *x59 + 38.4147587357678*x60*x60 + 27.6431119850894*x61*x61 + 27.2081707885029*x62*x62 + 26.180086548645*x63*x63 + 23.4793052891068*x64* x64 + 8.05600976794875*x65*x65 + 43.6070455642507*x66*x66 + 45.5814383894113*x67*x67 + 24.8259847424505*x68*x68 + 40.3429322999097*x69 *x69 + 34.7333648360789*x70*x70 + 39.6370142018807*x71*x71 + 15.7319707168115*x72*x72 + 10.2078177848558*x73*x73 + 33.6787428698496*x74 *x74 + 40.2454233156587*x75*x75 + 36.634811099167*x76*x76 + 22.27676876787 *x77*x77 + 26.5232783828231*x78*x78 + 43.5517742892559*x79*x79 + 41.5350353466256*x80*x80 + 41.8335888980131*x81*x81 + 48.5376172984876*x82 *x82 + 38.3466968942412*x83*x83 + 8.41612312434711*x84*x84 + 52.7549779687686*x85*x85 + 47.0825798478005*x86*x86 + 17.3796675041212*x87 *x87 + 38.1234862605185*x88*x88 + 35.3396889090277*x89*x89 + 14.4643524524883*x90*x90 + 5.34829959943684*x91*x91 + 22.2653351256225*x92 *x92 + 46.2454200528829*x93*x93 + 55.8374582944024*x94*x94 + 40.6308664485861*x95*x95 + 31.4335072617773*x96*x96 + 13.4112067223631*x97 *x97 + 48.5696936037444*x98*x98 + 36.8993023115838*x99*x99 + 40.9836123190193*x100*x100 + 25.6312719069291*x101*x101 + 39.2062655130486 *x102*x102 + 27.5420044062431*x103*x103 + 13.2995411207383*x104*x104 + 8.46899828859079*x105*x105 + 39.825353158153*x106*x106 + 50.7145370144725* x107*x107 + 20.9305616681182*x108*x108 + 43.0974611923811*x109*x109 + 31.2589828634291*x110*x110 + 39.0004467733683*x111*x111 + 5.85207457485276 *x112*x112 + 4.05707679016365*x113*x113 + 27.4118952163913*x114*x114 + 46.7403642600311*x115*x115 + 42.1857296019859*x116*x116 + 33.9770380372982 *x117*x117 + 37.4815569098476*x118*x118 + 40.7766875146816*x119*x119 + 42.3432110912681*x120*x120 + 41.8096676388354*x121*x121 + 18.5696808935251 *x122*x122 + 7.58990279485765*x123*x123 + 37.8694515922791*x124*x124 + 17.7230764563209*x125*x125 + 25.4760814821429*x126*x126 + 21.7375222978638 *x127*x127 + 46.2693611273112*x128*x128 + 4.54660149955549*x129*x129 + 35.4495510183106*x130*x130 + 35.7984880582191*x131*x131 + 21.901140187113* x132*x132 + 10.0418757457177*x133*x133 + 23.3064810423527*x134*x134 + 23.3941126275948*x135*x135 + 7.47045385542959*x136*x136 + 25.5396143114494 *x137*x137 + 23.6714747719547*x138*x138 + 2.96080784760476*x139*x139 + 25.3193751498536*x140*x140 + 30.0182424556163*x141*x141 + 5.83084524853944 *x142*x142 + 23.6514987581814*x143*x143 + 40.5072826571826*x144*x144 + 30.4312990116754*x145*x145 + 41.5896374550884*x146*x146 + 24.501600970022* x147*x147 + 32.2666564456072*x148*x148 + 26.024154868957*x149*x149 + 35.6018006285022*x150*x150 + 32.7659324359211*x151*x151 + 36.8394615362202 *x152*x152 + 36.7889144303202*x153*x153 + 40.0508174481167*x154*x154 + 17.6775070488635*x155*x155 + 17.579862644958*x156*x156 + 6.86014064091719* x157*x157 + 2.07714802960749*x158*x158 + 39.5431633780402*x159*x159 + 30.9129885122014*x160*x160 + 53.7186648061791*x161*x161 + 34.3820347456099 *x162*x162 + 8.45720703763966*x163*x163 + 39.0462093345896*x164*x164 + 32.8211593848664*x165*x165 + 40.7771865823617*x166*x166 + 20.6422254432407 *x167*x167 + 56.3016199376175*x168*x168 + 12.2817800194979*x169*x169 + 39.2313614019054*x170*x170 + 35.6110459801796*x171*x171 + 28.8191322549938 *x172*x172 + 25.4018036358971*x173*x173 + 38.7666408171936*x174*x174 + 37.6390516445844*x175*x175 + 14.7674823830956*x176*x176 + 25.5404894453816 *x177*x177 + 39.3018592559483*x178*x178 + 17.3036764948037*x179*x179 + 39.4235548336344*x180*x180 + 38.6270585541198*x181*x181 + 10.4664070033472 *x182*x182 + 33.421447798866*x183*x183 + 43.2253499251171*x184*x184 + 29.0353047005975*x185*x185 + 52.9939023039257*x186*x186 + 40.257102945243* x187*x187 + 38.860600314683*x188*x188 + 40.5310486179103*x189*x189 + 45.4664216368371*x190*x190 + 45.3664020287264*x191*x191 + 36.9853554415264 *x192*x192 + 33.2334839165221*x193*x193 + 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31.4238046558608*x364*x364 + 21.2794747772648*x365*x365 + 10.1834356269501*x366*x366 + 25.9014119165658 *x367*x367 + 26.4883984185792*x368*x368 + 22.9076512770755*x369*x369 + 25.997089184782*x370*x370 + 31.8823915967004*x371*x371 + 14.8080477345421* x372*x372 + 19.1010850759357*x373*x373 + 21.4509246095069*x374*x374 + 3.88397054710166*x375*x375 + 20.0589377640637*x376*x376 + 25.9149998836053 *x377*x377 + 11.9924452452965*x378*x378 + 18.6176990335993*x379*x379 + 5.02472422177832*x380*x380 + 14.8008188904632*x381*x381 + 26.7875251230091 *x382*x382 + 9.67687108012286*x383*x383 + 31.1767205303097*x384*x384 + 30.1406979856964*x385*x385 + 20.8511059740515*x386*x386 + 14.2363298453376 *x387*x387 + 19.5722735572342*x388*x388 + 6.80248295322444*x389*x389 + 16.9867420360034*x390*x390 + 11.5518321715263*x391*x391 + 32.1358835441953 *x392*x392 + 37.0226994405158*x393*x393 + 23.4627429415224*x394*x394 + 12.7078688009999*x395*x395 + 7.58658819030826*x396*x396 + 24.4312631498729 *x397*x397 + 22.2514570586902*x398*x398 + 18.4755526211779*x399*x399 + 9.86807133301415*x400*x400) - 62*b401 - 3*b402 - 68*b403 - 19*b404 - 9*b405 - 18*b406 - 48*b407 - 44*b408 - 96*b409 - 25*b410 + objvar =E= 0 ; e2.. x1 - b401 =L= 0; e3.. x2 - b401 =L= 0; e4.. x3 - b401 =L= 0; e5.. x4 - b401 =L= 0; e6.. x5 - b401 =L= 0; e7.. x6 - b401 =L= 0; e8.. x7 - b401 =L= 0; e9.. x8 - b401 =L= 0; e10.. x9 - b401 =L= 0; e11.. x10 - b401 =L= 0; e12.. x11 - b401 =L= 0; e13.. x12 - b401 =L= 0; e14.. x13 - b401 =L= 0; e15.. x14 - b401 =L= 0; e16.. x15 - b401 =L= 0; e17.. x16 - b401 =L= 0; e18.. x17 - b401 =L= 0; e19.. x18 - b401 =L= 0; e20.. x19 - b401 =L= 0; e21.. x20 - b401 =L= 0; e22.. x21 - b401 =L= 0; e23.. x22 - b401 =L= 0; e24.. x23 - b401 =L= 0; e25.. x24 - b401 =L= 0; e26.. x25 - b401 =L= 0; e27.. x26 - b401 =L= 0; e28.. x27 - b401 =L= 0; e29.. x28 - b401 =L= 0; e30.. x29 - b401 =L= 0; e31.. x30 - b401 =L= 0; e32.. x31 - b401 =L= 0; e33.. x32 - b401 =L= 0; e34.. x33 - b401 =L= 0; e35.. x34 - b401 =L= 0; e36.. x35 - b401 =L= 0; e37.. x36 - b401 =L= 0; e38.. x37 - b401 =L= 0; e39.. x38 - b401 =L= 0; e40.. x39 - b401 =L= 0; e41.. x40 - b401 =L= 0; e42.. x41 - b402 =L= 0; e43.. x42 - b402 =L= 0; e44.. x43 - b402 =L= 0; e45.. x44 - b402 =L= 0; e46.. x45 - b402 =L= 0; e47.. x46 - b402 =L= 0; e48.. x47 - b402 =L= 0; e49.. x48 - b402 =L= 0; e50.. x49 - b402 =L= 0; e51.. x50 - b402 =L= 0; e52.. x51 - b402 =L= 0; e53.. x52 - b402 =L= 0; e54.. x53 - b402 =L= 0; e55.. x54 - b402 =L= 0; e56.. x55 - b402 =L= 0; e57.. x56 - b402 =L= 0; e58.. x57 - b402 =L= 0; e59.. x58 - b402 =L= 0; e60.. x59 - b402 =L= 0; e61.. x60 - b402 =L= 0; e62.. x61 - b402 =L= 0; e63.. x62 - b402 =L= 0; e64.. x63 - b402 =L= 0; e65.. x64 - b402 =L= 0; e66.. x65 - b402 =L= 0; e67.. x66 - b402 =L= 0; e68.. x67 - b402 =L= 0; e69.. x68 - b402 =L= 0; e70.. x69 - b402 =L= 0; e71.. x70 - b402 =L= 0; e72.. x71 - b402 =L= 0; e73.. x72 - b402 =L= 0; e74.. x73 - b402 =L= 0; e75.. x74 - b402 =L= 0; e76.. x75 - b402 =L= 0; e77.. x76 - b402 =L= 0; e78.. x77 - b402 =L= 0; e79.. x78 - b402 =L= 0; e80.. x79 - b402 =L= 0; e81.. x80 - b402 =L= 0; e82.. x81 - b403 =L= 0; e83.. x82 - b403 =L= 0; e84.. x83 - b403 =L= 0; e85.. x84 - b403 =L= 0; e86.. x85 - b403 =L= 0; e87.. x86 - b403 =L= 0; e88.. x87 - b403 =L= 0; e89.. x88 - b403 =L= 0; e90.. x89 - b403 =L= 0; e91.. x90 - b403 =L= 0; e92.. x91 - b403 =L= 0; e93.. x92 - b403 =L= 0; e94.. x93 - b403 =L= 0; e95.. x94 - b403 =L= 0; e96.. x95 - b403 =L= 0; e97.. x96 - b403 =L= 0; e98.. x97 - b403 =L= 0; e99.. x98 - b403 =L= 0; e100.. x99 - b403 =L= 0; e101.. x100 - b403 =L= 0; e102.. x101 - b403 =L= 0; e103.. x102 - b403 =L= 0; e104.. x103 - b403 =L= 0; e105.. x104 - b403 =L= 0; e106.. x105 - b403 =L= 0; e107.. x106 - b403 =L= 0; e108.. x107 - b403 =L= 0; e109.. x108 - b403 =L= 0; e110.. x109 - b403 =L= 0; e111.. x110 - b403 =L= 0; e112.. x111 - b403 =L= 0; e113.. x112 - b403 =L= 0; e114.. x113 - b403 =L= 0; e115.. x114 - b403 =L= 0; e116.. x115 - b403 =L= 0; e117.. x116 - b403 =L= 0; e118.. x117 - b403 =L= 0; e119.. x118 - b403 =L= 0; e120.. x119 - b403 =L= 0; e121.. x120 - b403 =L= 0; e122.. x121 - b404 =L= 0; e123.. x122 - b404 =L= 0; e124.. x123 - b404 =L= 0; e125.. x124 - b404 =L= 0; e126.. x125 - b404 =L= 0; e127.. x126 - b404 =L= 0; e128.. x127 - b404 =L= 0; e129.. x128 - b404 =L= 0; e130.. x129 - b404 =L= 0; e131.. x130 - b404 =L= 0; e132.. x131 - b404 =L= 0; e133.. x132 - b404 =L= 0; e134.. x133 - b404 =L= 0; e135.. x134 - b404 =L= 0; e136.. x135 - b404 =L= 0; e137.. x136 - b404 =L= 0; e138.. x137 - b404 =L= 0; e139.. x138 - b404 =L= 0; e140.. x139 - b404 =L= 0; e141.. x140 - b404 =L= 0; e142.. x141 - b404 =L= 0; e143.. x142 - b404 =L= 0; e144.. x143 - b404 =L= 0; e145.. x144 - b404 =L= 0; e146.. x145 - b404 =L= 0; e147.. x146 - b404 =L= 0; e148.. x147 - b404 =L= 0; e149.. x148 - b404 =L= 0; e150.. x149 - b404 =L= 0; e151.. x150 - b404 =L= 0; e152.. x151 - b404 =L= 0; e153.. x152 - b404 =L= 0; e154.. x153 - b404 =L= 0; e155.. x154 - b404 =L= 0; e156.. x155 - b404 =L= 0; e157.. x156 - b404 =L= 0; e158.. x157 - b404 =L= 0; e159.. x158 - b404 =L= 0; e160.. x159 - b404 =L= 0; e161.. x160 - b404 =L= 0; e162.. x161 - b405 =L= 0; e163.. x162 - b405 =L= 0; e164.. x163 - b405 =L= 0; e165.. x164 - b405 =L= 0; e166.. x165 - b405 =L= 0; e167.. x166 - b405 =L= 0; e168.. x167 - b405 =L= 0; e169.. x168 - b405 =L= 0; e170.. x169 - b405 =L= 0; e171.. x170 - b405 =L= 0; e172.. x171 - b405 =L= 0; e173.. x172 - b405 =L= 0; e174.. x173 - b405 =L= 0; e175.. x174 - b405 =L= 0; e176.. x175 - b405 =L= 0; e177.. x176 - b405 =L= 0; e178.. x177 - b405 =L= 0; e179.. x178 - b405 =L= 0; e180.. x179 - b405 =L= 0; e181.. x180 - b405 =L= 0; e182.. x181 - b405 =L= 0; e183.. x182 - b405 =L= 0; e184.. x183 - b405 =L= 0; e185.. x184 - b405 =L= 0; e186.. x185 - b405 =L= 0; e187.. x186 - b405 =L= 0; e188.. x187 - b405 =L= 0; e189.. x188 - b405 =L= 0; e190.. x189 - b405 =L= 0; e191.. x190 - b405 =L= 0; e192.. x191 - b405 =L= 0; e193.. x192 - b405 =L= 0; e194.. x193 - b405 =L= 0; e195.. x194 - b405 =L= 0; e196.. x195 - b405 =L= 0; e197.. x196 - b405 =L= 0; e198.. x197 - b405 =L= 0; e199.. x198 - b405 =L= 0; e200.. x199 - b405 =L= 0; e201.. x200 - b405 =L= 0; e202.. x201 - b406 =L= 0; e203.. x202 - b406 =L= 0; e204.. x203 - b406 =L= 0; e205.. x204 - b406 =L= 0; e206.. x205 - b406 =L= 0; e207.. x206 - b406 =L= 0; e208.. x207 - b406 =L= 0; e209.. x208 - b406 =L= 0; e210.. x209 - b406 =L= 0; e211.. x210 - b406 =L= 0; e212.. x211 - b406 =L= 0; e213.. x212 - b406 =L= 0; e214.. x213 - b406 =L= 0; e215.. x214 - b406 =L= 0; e216.. x215 - b406 =L= 0; e217.. x216 - b406 =L= 0; e218.. x217 - b406 =L= 0; e219.. x218 - b406 =L= 0; e220.. x219 - b406 =L= 0; e221.. x220 - b406 =L= 0; e222.. x221 - b406 =L= 0; e223.. x222 - b406 =L= 0; e224.. x223 - b406 =L= 0; e225.. x224 - b406 =L= 0; e226.. x225 - b406 =L= 0; e227.. x226 - b406 =L= 0; e228.. x227 - b406 =L= 0; e229.. x228 - b406 =L= 0; e230.. x229 - b406 =L= 0; e231.. x230 - b406 =L= 0; e232.. x231 - b406 =L= 0; e233.. x232 - b406 =L= 0; e234.. x233 - b406 =L= 0; e235.. x234 - b406 =L= 0; e236.. x235 - b406 =L= 0; e237.. x236 - b406 =L= 0; e238.. x237 - b406 =L= 0; e239.. x238 - b406 =L= 0; e240.. x239 - b406 =L= 0; e241.. x240 - b406 =L= 0; e242.. x241 - b407 =L= 0; e243.. x242 - b407 =L= 0; e244.. x243 - b407 =L= 0; e245.. x244 - b407 =L= 0; e246.. x245 - b407 =L= 0; e247.. x246 - b407 =L= 0; e248.. x247 - b407 =L= 0; e249.. x248 - b407 =L= 0; e250.. x249 - b407 =L= 0; e251.. x250 - b407 =L= 0; e252.. x251 - b407 =L= 0; e253.. x252 - b407 =L= 0; e254.. x253 - b407 =L= 0; e255.. x254 - b407 =L= 0; e256.. x255 - b407 =L= 0; e257.. x256 - b407 =L= 0; e258.. x257 - b407 =L= 0; e259.. x258 - b407 =L= 0; e260.. x259 - b407 =L= 0; e261.. x260 - b407 =L= 0; e262.. x261 - b407 =L= 0; e263.. x262 - b407 =L= 0; e264.. x263 - b407 =L= 0; e265.. x264 - b407 =L= 0; e266.. x265 - b407 =L= 0; e267.. x266 - b407 =L= 0; e268.. x267 - b407 =L= 0; e269.. x268 - b407 =L= 0; e270.. x269 - b407 =L= 0; e271.. x270 - b407 =L= 0; e272.. x271 - b407 =L= 0; e273.. x272 - b407 =L= 0; e274.. x273 - b407 =L= 0; e275.. x274 - b407 =L= 0; e276.. x275 - b407 =L= 0; e277.. x276 - b407 =L= 0; e278.. x277 - b407 =L= 0; e279.. x278 - b407 =L= 0; e280.. x279 - b407 =L= 0; e281.. x280 - b407 =L= 0; e282.. x281 - b408 =L= 0; e283.. x282 - b408 =L= 0; e284.. x283 - b408 =L= 0; e285.. x284 - b408 =L= 0; e286.. x285 - b408 =L= 0; e287.. x286 - b408 =L= 0; e288.. x287 - b408 =L= 0; e289.. x288 - b408 =L= 0; e290.. x289 - b408 =L= 0; e291.. x290 - b408 =L= 0; e292.. x291 - b408 =L= 0; e293.. x292 - b408 =L= 0; e294.. x293 - b408 =L= 0; e295.. x294 - b408 =L= 0; e296.. x295 - b408 =L= 0; e297.. x296 - b408 =L= 0; e298.. x297 - b408 =L= 0; e299.. x298 - b408 =L= 0; e300.. x299 - b408 =L= 0; e301.. x300 - b408 =L= 0; e302.. x301 - b408 =L= 0; e303.. x302 - b408 =L= 0; e304.. x303 - b408 =L= 0; e305.. x304 - b408 =L= 0; e306.. x305 - b408 =L= 0; e307.. x306 - b408 =L= 0; e308.. x307 - b408 =L= 0; e309.. x308 - b408 =L= 0; e310.. x309 - b408 =L= 0; e311.. x310 - b408 =L= 0; e312.. x311 - b408 =L= 0; e313.. x312 - b408 =L= 0; e314.. x313 - b408 =L= 0; e315.. x314 - b408 =L= 0; e316.. x315 - b408 =L= 0; e317.. x316 - b408 =L= 0; e318.. x317 - b408 =L= 0; e319.. x318 - b408 =L= 0; e320.. x319 - b408 =L= 0; e321.. x320 - b408 =L= 0; e322.. x321 - b409 =L= 0; e323.. x322 - b409 =L= 0; e324.. x323 - b409 =L= 0; e325.. x324 - b409 =L= 0; e326.. x325 - b409 =L= 0; e327.. x326 - b409 =L= 0; e328.. x327 - b409 =L= 0; e329.. x328 - b409 =L= 0; e330.. x329 - b409 =L= 0; e331.. x330 - b409 =L= 0; e332.. x331 - b409 =L= 0; e333.. x332 - b409 =L= 0; e334.. x333 - b409 =L= 0; e335.. x334 - b409 =L= 0; e336.. x335 - b409 =L= 0; e337.. x336 - b409 =L= 0; e338.. x337 - b409 =L= 0; e339.. x338 - b409 =L= 0; e340.. x339 - b409 =L= 0; e341.. x340 - b409 =L= 0; e342.. x341 - b409 =L= 0; e343.. x342 - b409 =L= 0; e344.. x343 - b409 =L= 0; e345.. x344 - b409 =L= 0; e346.. x345 - b409 =L= 0; e347.. x346 - b409 =L= 0; e348.. x347 - b409 =L= 0; e349.. x348 - b409 =L= 0; e350.. x349 - b409 =L= 0; e351.. x350 - b409 =L= 0; e352.. x351 - b409 =L= 0; e353.. x352 - b409 =L= 0; e354.. x353 - b409 =L= 0; e355.. x354 - b409 =L= 0; e356.. x355 - b409 =L= 0; e357.. x356 - b409 =L= 0; e358.. x357 - b409 =L= 0; e359.. x358 - b409 =L= 0; e360.. x359 - b409 =L= 0; e361.. x360 - b409 =L= 0; e362.. x361 - b410 =L= 0; e363.. x362 - b410 =L= 0; e364.. x363 - b410 =L= 0; e365.. x364 - b410 =L= 0; e366.. x365 - b410 =L= 0; e367.. x366 - b410 =L= 0; e368.. x367 - b410 =L= 0; e369.. x368 - b410 =L= 0; e370.. x369 - b410 =L= 0; e371.. x370 - b410 =L= 0; e372.. x371 - b410 =L= 0; e373.. x372 - b410 =L= 0; e374.. x373 - b410 =L= 0; e375.. x374 - b410 =L= 0; e376.. x375 - b410 =L= 0; e377.. x376 - b410 =L= 0; e378.. x377 - b410 =L= 0; e379.. x378 - b410 =L= 0; e380.. x379 - b410 =L= 0; e381.. x380 - b410 =L= 0; e382.. x381 - b410 =L= 0; e383.. x382 - b410 =L= 0; e384.. x383 - b410 =L= 0; e385.. x384 - b410 =L= 0; e386.. x385 - b410 =L= 0; e387.. x386 - b410 =L= 0; e388.. x387 - b410 =L= 0; e389.. x388 - b410 =L= 0; e390.. x389 - b410 =L= 0; e391.. x390 - b410 =L= 0; e392.. x391 - b410 =L= 0; e393.. x392 - b410 =L= 0; e394.. x393 - b410 =L= 0; e395.. x394 - b410 =L= 0; e396.. x395 - b410 =L= 0; e397.. x396 - b410 =L= 0; e398.. x397 - b410 =L= 0; e399.. x398 - b410 =L= 0; e400.. x399 - b410 =L= 0; e401.. x400 - b410 =L= 0; e402.. x1 + x41 + x81 + x121 + x161 + x201 + x241 + x281 + x321 + x361 =E= 1 ; e403.. x2 + x42 + x82 + x122 + x162 + x202 + x242 + x282 + x322 + x362 =E= 1 ; e404.. x3 + x43 + x83 + x123 + x163 + x203 + x243 + x283 + x323 + x363 =E= 1 ; e405.. x4 + x44 + x84 + x124 + x164 + x204 + x244 + x284 + x324 + x364 =E= 1 ; e406.. x5 + x45 + x85 + x125 + x165 + x205 + x245 + x285 + x325 + x365 =E= 1 ; e407.. x6 + x46 + x86 + x126 + x166 + x206 + x246 + x286 + x326 + x366 =E= 1 ; e408.. x7 + x47 + x87 + x127 + x167 + x207 + x247 + x287 + x327 + x367 =E= 1 ; e409.. x8 + x48 + x88 + x128 + x168 + x208 + x248 + x288 + x328 + x368 =E= 1 ; e410.. x9 + x49 + x89 + x129 + x169 + x209 + x249 + x289 + x329 + x369 =E= 1 ; e411.. x10 + x50 + x90 + x130 + x170 + x210 + x250 + x290 + x330 + x370 =E= 1; e412.. x11 + x51 + x91 + x131 + x171 + x211 + x251 + x291 + x331 + x371 =E= 1; e413.. x12 + x52 + x92 + x132 + x172 + x212 + x252 + x292 + x332 + x372 =E= 1; e414.. x13 + x53 + x93 + x133 + x173 + x213 + x253 + x293 + x333 + x373 =E= 1; e415.. x14 + x54 + x94 + x134 + x174 + x214 + x254 + x294 + x334 + x374 =E= 1; e416.. x15 + x55 + x95 + x135 + x175 + x215 + x255 + x295 + x335 + x375 =E= 1; e417.. x16 + x56 + x96 + x136 + x176 + x216 + x256 + x296 + x336 + x376 =E= 1; e418.. x17 + x57 + x97 + x137 + x177 + x217 + x257 + x297 + x337 + x377 =E= 1; e419.. x18 + x58 + x98 + x138 + x178 + x218 + x258 + x298 + x338 + x378 =E= 1; e420.. x19 + x59 + x99 + x139 + x179 + x219 + x259 + x299 + x339 + x379 =E= 1; e421.. x20 + x60 + x100 + x140 + x180 + x220 + x260 + x300 + x340 + x380 =E= 1; e422.. x21 + x61 + x101 + x141 + x181 + x221 + x261 + x301 + x341 + x381 =E= 1; e423.. x22 + x62 + x102 + x142 + x182 + x222 + x262 + x302 + x342 + x382 =E= 1; e424.. x23 + x63 + x103 + x143 + x183 + x223 + x263 + x303 + x343 + x383 =E= 1; e425.. x24 + x64 + x104 + x144 + x184 + x224 + x264 + x304 + x344 + x384 =E= 1; e426.. x25 + x65 + x105 + x145 + x185 + x225 + x265 + x305 + x345 + x385 =E= 1; e427.. x26 + x66 + x106 + x146 + x186 + x226 + x266 + x306 + x346 + x386 =E= 1; e428.. x27 + x67 + x107 + x147 + x187 + x227 + x267 + x307 + x347 + x387 =E= 1; e429.. x28 + x68 + x108 + x148 + x188 + x228 + x268 + x308 + x348 + x388 =E= 1; e430.. x29 + x69 + x109 + x149 + x189 + x229 + x269 + x309 + x349 + x389 =E= 1; e431.. x30 + x70 + x110 + x150 + x190 + x230 + x270 + x310 + x350 + x390 =E= 1; e432.. x31 + x71 + x111 + x151 + x191 + x231 + x271 + x311 + x351 + x391 =E= 1; e433.. x32 + x72 + x112 + x152 + x192 + x232 + x272 + x312 + x352 + x392 =E= 1; e434.. x33 + x73 + x113 + x153 + x193 + x233 + x273 + x313 + x353 + x393 =E= 1; e435.. x34 + x74 + x114 + x154 + x194 + x234 + x274 + x314 + x354 + x394 =E= 1; e436.. x35 + x75 + x115 + x155 + x195 + x235 + x275 + x315 + x355 + x395 =E= 1; e437.. x36 + x76 + x116 + x156 + x196 + x236 + x276 + x316 + x356 + x396 =E= 1; e438.. x37 + x77 + x117 + x157 + x197 + x237 + x277 + x317 + x357 + x397 =E= 1; e439.. x38 + x78 + x118 + x158 + x198 + x238 + x278 + x318 + x358 + x398 =E= 1; e440.. x39 + x79 + x119 + x159 + x199 + x239 + x279 + x319 + x359 + x399 =E= 1; e441.. x40 + x80 + x120 + x160 + x200 + x240 + x280 + x320 + x360 + x400 =E= 1; 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: 2024-11-25 Git hash: de62f3e5