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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance waterno2_02

Formats ams gms mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
39.57142193 p1 ( gdx sol )
(infeas: 2e-12)
Other points (infeas > 1e-08)  
Dual Bounds
39.57141794 (ANTIGONE)
39.57132962 (BARON)
39.57142150 (COUENNE)
39.57140768 (LINDO)
39.57142193 (SCIP)
0.00000000 (SHOT)
References Huang, Wei, Operative Planning of Water Supply Networks by Mixed Integer Nonlinear Programming, Masters thesis, Freie Universität Berlin, 2011.
Gleixner, Ambros M, Held, Harald, Huang, Wei, and Vigerske, Stefan, Towards globally optimal operation of water supply networks, Numerical Algebra, Control and Optimization, 2:4, 2012, 695-711.
Application Water Network Operation
Added to library 12 Aug 2014
Problem type MBNLP
#Variables 332
#Binary Variables 18
#Integer Variables 0
#Nonlinear Variables 84
#Nonlinear Binary Variables 18
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 18
#Nonlinear Nonzeros in Objective 0
#Constraints 410
#Linear Constraints 280
#Quadratic Constraints 104
#Polynomial Constraints 26
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 1070
#Nonlinear Nonzeros in Jacobian 202
#Nonzeros in (Upper-Left) Hessian of Lagrangian 176
#Nonzeros in Diagonal of Hessian of Lagrangian 32
#Blocks in Hessian of Lagrangian 22
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 8
Average blocksize in Hessian of Lagrangian 3.818182
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.5000e-01
Maximal coefficient 3.6000e+03
Infeasibility of initial point 3200
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
*        411      244       69       98        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        333      315       18        0        0        0        0        0
*  FX      5
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1089      887      202        0
*
*  Solve m using MINLP minimizing objvar;


Variables  objvar,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
          ,b19,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;

Positive Variables  x64,x65,x66,x67,x68,x69,x70,x71,x72,x73,x74,x75,x76,x77
          ,x78,x79,x80,x81,x94,x96,x98,x100,x102,x104,x106,x108,x110,x112,x114
          ,x116,x118,x120,x122,x124,x126,x128,x136,x138,x140,x141,x143,x144
          ,x146,x148,x188,x195,x196,x202,x206,x211,x216,x221,x226,x231,x236
          ,x241,x246,x251,x256,x261,x266,x272,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;

Binary Variables  b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
          ,b19;

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;


e1..    objvar - x188 - x195 - x196 - x202 - x206 - x211 - x216 - x221 - x226
      - x231 - x236 - x241 - x246 - x251 - x256 - x261 - x266 - x272 =E= 0;

e2..    x95 + 27.42831624*x97 - 57.2814121*x99 + 37.5407324*x101 =E= 0;

e3..    x103 + 37.5407324*x105 + 27.42831624*x107 - 57.2814121*x109 =E= 0;

e4..  - 57.2814121*x99 + x111 + 27.42831624*x113 + 37.5407324*x115 =E= 0;

e5..  - 57.2814121*x109 + x117 + 37.5407324*x119 + 27.42831624*x121 =E= 0;

e6..  - 57.2814121*x99 + x123 + 27.42831624*x125 + 37.5407324*x127 =E= 0;

e7..    27.42831624*x20 + 37.5407324*x21 - 57.2814121*x109 + x129 =E= 0;

e8..    x22 - 76.45219958*x23 + 43.14087708*x24 + 50.37356589*x25 =E= 0;

e9..    x26 + 43.14087708*x27 - 76.45219958*x28 + 50.37356589*x29 =E= 0;

e10..  - 76.45219958*x23 + x30 + 50.37356589*x31 + 43.14087708*x32 =E= 0;

e11..  - 76.45219958*x28 + x33 + 50.37356589*x34 + 43.14087708*x35 =E= 0;

e12..    x36 - 69.39622571*x37 + 58.31011875*x38 - 25.39911174*x39 =E= 0;

e13..    x40 - 25.39911174*x41 + 58.31011875*x42 - 69.39622571*x43 =E= 0;

e14..  - 69.39622571*x37 + x44 - 25.39911174*x45 + 58.31011875*x46 =E= 0;

e15..  - 69.39622571*x43 + x47 - 25.39911174*x48 + 58.31011875*x49 =E= 0;

e16..    x50 + 63.61644904*x51 - 34.92732674*x52 - 2.03724124*x53 =E= 0;

e17..    x54 - 34.92732674*x55 - 2.03724124*x56 + 63.61644904*x57 =E= 0;

e18..  - 34.92732674*x52 + x58 + 63.61644904*x59 - 2.03724124*x60 =E= 0;

e19..  - 34.92732674*x55 + x61 + 63.61644904*x62 - 2.03724124*x63 =E= 0;

e20..    x64 + x65 =G= 0.591111111;

e21..  - x66 + x67 =E= 0;

e22..  - x68 + x69 =E= 0;

e23..  - x70 + x71 =E= 0;

e24..  - x72 + x73 =E= 0;

e25..    x70 - x74 =E= 0;

e26..    x72 - x75 =E= 0;

e27..  - x76 + x77 =E= 0;

e28..  - x78 + x79 =E= 0;

e29..    x80 =E= 0.296666667;

e30..    x81 =E= 0.294444444;

e31..    x64 - x67 =E= 0;

e32..    x65 - x69 =E= 0;

e33..    3600*x66 - 3600*x71 + 1800*x82 - 1800*x83 =E= 0;

e34..    3600*x68 - 3600*x73 + 1800*x84 - 1800*x85 =E= 0;

e35..    3600*x74 - 3600*x77 + 720*x86 - 720*x87 =E= 0;

e36..    3600*x75 - 3600*x79 + 720*x88 - 720*x89 =E= 0;

e37..    3600*x76 - 3600*x80 + 1600*x90 - 1600*x91 =E= 0;

e38..    3600*x78 - 3600*x81 + 1600*x92 - 1600*x93 =E= 0;

e39..  - x83 + x84 =E= 0;

e40..  - x87 + x88 =E= 0;

e41..  - x91 + x92 =E= 0;

e42..  - 0.2*b2 + x94 =G= 0;

e43..  - 0.2*b3 + x96 =G= 0;

e44..  - 0.2*b4 + x98 =G= 0;

e45..  - 0.2*b5 + x100 =G= 0;

e46..  - 0.2*b6 + x102 =G= 0;

e47..  - 0.2*b7 + x104 =G= 0;

e48..  - 0.25*b8 + x106 =G= 0;

e49..  - 0.25*b9 + x108 =G= 0;

e50..  - 0.25*b10 + x110 =G= 0;

e51..  - 0.25*b11 + x112 =G= 0;

e52..  - 0.4*b12 + x114 =G= 0;

e53..  - 0.4*b13 + x116 =G= 0;

e54..  - 0.4*b14 + x118 =G= 0;

e55..  - 0.4*b15 + x120 =G= 0;

e56..  - 0.24*b16 + x122 =G= 0;

e57..  - 0.24*b17 + x124 =G= 0;

e58..  - 0.24*b18 + x126 =G= 0;

e59..  - 0.24*b19 + x128 =G= 0;

e60..  - 0.8*b2 + x94 =L= 0;

e61..  - 0.8*b3 + x96 =L= 0;

e62..  - 0.8*b4 + x98 =L= 0;

e63..  - 0.8*b5 + x100 =L= 0;

e64..  - 0.8*b6 + x102 =L= 0;

e65..  - 0.8*b7 + x104 =L= 0;

e66..  - 0.5*b8 + x106 =L= 0;

e67..  - 0.5*b9 + x108 =L= 0;

e68..  - 0.5*b10 + x110 =L= 0;

e69..  - 0.5*b11 + x112 =L= 0;

e70..  - 0.7*b12 + x114 =L= 0;

e71..  - 0.7*b13 + x116 =L= 0;

e72..  - 0.7*b14 + x118 =L= 0;

e73..  - 0.7*b15 + x120 =L= 0;

e74..  - 0.58*b16 + x122 =L= 0;

e75..  - 0.58*b17 + x124 =L= 0;

e76..  - 0.58*b18 + x126 =L= 0;

e77..  - 0.58*b19 + x128 =L= 0;

e78..  - x82 + x130 =E= 60;

e79..  - x84 + x131 =E= 60;

e80..  - x86 + x132 =E= 90;

e81..  - x88 + x133 =E= 90;

e82..  - x90 + x134 =E= 103;

e83..  - x92 + x135 =E= 103;

e84..  - x130 + x136 - x137 =E= 0;

e85..  - x131 + x138 - x139 =E= 0;

e86..    x140 - x141 - x142 =E= 0;

e87..    x143 - x144 - x145 =E= 0;

e88..  - x134 + x146 - x147 =E= 0;

e89..  - x135 + x148 - x149 =E= 0;

e90..    x136 - x150 - x151 =E= 0;

e91..    x138 - x152 - x153 =E= 0;

e92..  - x130 + x140 - x154 =E= 0;

e93..  - x131 + x143 - x155 =E= 0;

e94..  - x132 + x146 - x156 =E= 0;

e95..  - x133 + x148 - x157 =E= 0;

e96..    0.2*b2 - x94 + x158 =L= 0.2;

e97..    0.2*b3 - x96 + x159 =L= 0.2;

e98..    0.2*b4 - x98 + x160 =L= 0.2;

e99..    0.2*b5 - x100 + x161 =L= 0.2;

e100..    0.2*b6 - x102 + x162 =L= 0.2;

e101..    0.2*b7 - x104 + x163 =L= 0.2;

e102..    0.25*b8 - x106 + x164 =L= 0.25;

e103..    0.25*b9 - x108 + x165 =L= 0.25;

e104..    0.25*b10 - x110 + x166 =L= 0.25;

e105..    0.25*b11 - x112 + x167 =L= 0.25;

e106..    0.4*b12 - x114 + x168 =L= 0.4;

e107..    0.4*b13 - x116 + x169 =L= 0.4;

e108..    0.4*b14 - x118 + x170 =L= 0.4;

e109..    0.4*b15 - x120 + x171 =L= 0.4;

e110..    0.24*b16 - x122 + x172 =L= 0.24;

e111..    0.24*b17 - x124 + x173 =L= 0.24;

e112..    0.24*b18 - x126 + x174 =L= 0.24;

e113..    0.24*b19 - x128 + x175 =L= 0.24;

e114..  - x94 + x158 =G= 0;

e115..  - x96 + x159 =G= 0;

e116..  - x98 + x160 =G= 0;

e117..  - x100 + x161 =G= 0;

e118..  - x102 + x162 =G= 0;

e119..  - x104 + x163 =G= 0;

e120..  - x106 + x164 =G= 0;

e121..  - x108 + x165 =G= 0;

e122..  - x110 + x166 =G= 0;

e123..  - x112 + x167 =G= 0;

e124..  - x114 + x168 =G= 0;

e125..  - x116 + x169 =G= 0;

e126..  - x118 + x170 =G= 0;

e127..  - x120 + x171 =G= 0;

e128..  - x122 + x172 =G= 0;

e129..  - x124 + x173 =G= 0;

e130..  - x126 + x174 =G= 0;

e131..  - x128 + x175 =G= 0;

e132..  - 0.6*b2 + x158 =L= 0.2;

e133..  - 0.6*b3 + x159 =L= 0.2;

e134..  - 0.6*b4 + x160 =L= 0.2;

e135..  - 0.6*b5 + x161 =L= 0.2;

e136..  - 0.6*b6 + x162 =L= 0.2;

e137..  - 0.6*b7 + x163 =L= 0.2;

e138..  - 0.25*b8 + x164 =L= 0.25;

e139..  - 0.25*b9 + x165 =L= 0.25;

e140..  - 0.25*b10 + x166 =L= 0.25;

e141..  - 0.25*b11 + x167 =L= 0.25;

e142..  - 0.3*b12 + x168 =L= 0.4;

e143..  - 0.3*b13 + x169 =L= 0.4;

e144..  - 0.3*b14 + x170 =L= 0.4;

e145..  - 0.3*b15 + x171 =L= 0.4;

e146..  - 0.34*b16 + x172 =L= 0.24;

e147..  - 0.34*b17 + x173 =L= 0.24;

e148..  - 0.34*b18 + x174 =L= 0.24;

e149..  - 0.34*b19 + x175 =L= 0.24;

e150..  - 0.4*b2 + x176 =L= 0.6;

e151..  - 0.4*b3 + x177 =L= 0.6;

e152..  - 0.2*b8 + x178 =L= 0.8;

e153..  - 0.2*b9 + x179 =L= 0.8;

e154..  - 0.15*b12 + x180 =L= 0.85;

e155..  - 0.15*b13 + x181 =L= 0.85;

e156..  - 0.3*b16 + x182 =L= 0.7;

e157..  - 0.3*b17 + x183 =L= 0.7;

e158..    b2 - b4 =G= 0;

e159..    b3 - b5 =G= 0;

e160..    b4 - b6 =G= 0;

e161..    b5 - b7 =G= 0;

e162..    b8 - b10 =G= 0;

e163..    b9 - b11 =G= 0;

e164..    b12 - b14 =G= 0;

e165..    b13 - b15 =G= 0;

e166..    b16 - b18 =G= 0;

e167..    b17 - b19 =G= 0;

e168..    x67 - x94 - x98 - x102 =E= 0;

e169..    x69 - x96 - x100 - x104 =E= 0;

e170..    x71 - x106 - x110 - x114 - x118 =E= 0;

e171..    x73 - x108 - x112 - x116 - x120 =E= 0;

e172..    x77 - x122 - x126 =E= 0;

e173..    x79 - x124 - x128 =E= 0;

e174..  - 2000*b2 + x95 - x151 =G= -2000;

e175..  - 2000*b3 + x103 - x153 =G= -2000;

e176..  - 2000*b4 + x111 - x151 =G= -2000;

e177..  - 2000*b5 + x117 - x153 =G= -2000;

e178..  - 2000*b6 + x123 - x151 =G= -2000;

e179..  - 2000*b7 + x129 - x153 =G= -2000;

e180..  - 2000*b8 + x22 - x154 =G= -2000;

e181..  - 2000*b9 + x26 - x155 =G= -2000;

e182..  - 2000*b10 + x30 - x154 =G= -2000;

e183..  - 2000*b11 + x33 - x155 =G= -2000;

e184..  - 2000*b12 + x36 - x154 =G= -2000;

e185..  - 2000*b13 + x40 - x155 =G= -2000;

e186..  - 2000*b14 + x44 - x154 =G= -2000;

e187..  - 2000*b15 + x47 - x155 =G= -2000;

e188..  - 2000*b16 + x50 - x156 =G= -2000;

e189..  - 2000*b17 + x54 - x157 =G= -2000;

e190..  - 2000*b18 + x58 - x156 =G= -2000;

e191..  - 2000*b19 + x61 - x157 =G= -2000;

e192..    1049*b2 + x95 - x151 =L= 1049;

e193..    1049*b3 + x103 - x153 =L= 1049;

e194..    1049*b4 + x111 - x151 =L= 1049;

e195..    1049*b5 + x117 - x153 =L= 1049;

e196..    1049*b6 + x123 - x151 =L= 1049;

e197..    1049*b7 + x129 - x153 =L= 1049;

e198..    1065*b8 + x22 - x154 =L= 1065;

e199..    1065*b9 + x26 - x155 =L= 1065;

e200..    1065*b10 + x30 - x154 =L= 1065;

e201..    1065*b11 + x33 - x155 =L= 1065;

e202..    1065*b12 + x36 - x154 =L= 1065;

e203..    1065*b13 + x40 - x155 =L= 1065;

e204..    1065*b14 + x44 - x154 =L= 1065;

e205..    1065*b15 + x47 - x155 =L= 1065;

e206..    1095*b16 + x50 - x156 =L= 1095;

e207..    1095*b17 + x54 - x157 =L= 1095;

e208..    1095*b18 + x58 - x156 =L= 1095;

e209..    1095*b19 + x61 - x157 =L= 1095;

e210..  - x132 + x141 =G= 0;

e211..  - x133 + x144 =G= 0;

e212..    x134 - x184 =G= 0;

e213..    x135 - x185 =G= 0;

e214..  - 7.28623839*x186 - 23.57687014*x187 - 0.309838295393634*x188
        + 13.94696158*x189 + 24.46510819*x190 =L= 0;

e215..    13.94696158*x191 + 24.46510819*x192 - 7.28623839*x193
        - 23.57687014*x194 - 0.309838295393634*x195 =L= 0;

e216..  - 0.309838295393634*x196 + 13.94696158*x197 + 24.46510819*x198
        - 7.28623839*x199 - 23.57687014*x200 =L= 0;

e217..  - 23.57687014*x201 - 0.309838295393634*x202 + 13.94696158*x203
        + 24.46510819*x204 - 7.28623839*x205 =L= 0;

e218..  - 0.309838295393634*x206 + 13.94696158*x207 + 24.46510819*x208
        - 7.28623839*x209 - 23.57687014*x210 =L= 0;

e219..  - 0.309838295393634*x211 + 13.94696158*x212 + 24.46510819*x213
        - 7.28623839*x214 - 23.57687014*x215 =L= 0;

e220..  - 0.309838295393634*x216 + 29.29404529*x217 - 108.39408287*x218
        + 442.21990639*x219 - 454.58448169*x220 =L= 0;

e221..  - 0.309838295393634*x221 + 29.29404529*x222 - 108.39408287*x223
        + 442.21990639*x224 - 454.58448169*x225 =L= 0;

e222..  - 0.309838295393634*x226 + 29.29404529*x227 - 108.39408287*x228
        + 442.21990639*x229 - 454.58448169*x230 =L= 0;

e223..  - 0.309838295393634*x231 + 29.29404529*x232 - 108.39408287*x233
        + 442.21990639*x234 - 454.58448169*x235 =L= 0;

e224..  - 0.309838295393634*x236 + 25.92674585*x237 + 18.13482123*x238
        + 22.12766012*x239 - 42.68950769*x240 =L= 0;

e225..  - 0.309838295393634*x241 + 25.92674585*x242 + 18.13482123*x243
        + 22.12766012*x244 - 42.68950769*x245 =L= 0;

e226..  - 0.309838295393634*x246 + 25.92674585*x247 + 18.13482123*x248
        + 22.12766012*x249 - 42.68950769*x250 =L= 0;

e227..  - 0.309838295393634*x251 + 25.92674585*x252 + 18.13482123*x253
        + 22.12766012*x254 - 42.68950769*x255 =L= 0;

e228..  - 0.309838295393634*x256 + 17.4714791*x257 - 39.98407808*x258
        + 134.55943082*x259 - 135.88441782*x260 =L= 0;

e229..  - 0.309838295393634*x261 + 17.4714791*x262 - 39.98407808*x263
        + 134.55943082*x264 - 135.88441782*x265 =L= 0;

e230..  - 0.309838295393634*x266 + 17.4714791*x267 - 39.98407808*x268
        + 134.55943082*x269 - 135.88441782*x270 =L= 0;

e231..  - 135.88441782*x271 - 0.309838295393634*x272 + 17.4714791*x273
        - 39.98407808*x274 + 134.55943082*x275 =L= 0;

e232.. sqr(x66) - x276 =E= 0;

e233..    x137 - 5*x276 =E= 0;

e234.. sqr(x68) - x277 =E= 0;

e235..    x139 - 5*x277 =E= 0;

e236.. sqr(x70) - x278 =E= 0;

e237..    x142 - 4*x278 =E= 0;

e238.. sqr(x72) - x279 =E= 0;

e239..    x145 - 4*x279 =E= 0;

e240.. sqr(x76) - x280 =E= 0;

e241..    x147 - 5*x280 =E= 0;

e242.. sqr(x78) - x281 =E= 0;

e243..    x149 - 5*x281 =E= 0;

e244.. sqr(x94) - x282 =E= 0;

e245..    x97 - x282 =E= 0;

e246.. POWER(x94,3) - x283 =E= 0;

e247..    x187 - x283 =E= 0;

e248.. sqr(x96) - x284 =E= 0;

e249..    x107 - x284 =E= 0;

e250.. POWER(x96,3) - x285 =E= 0;

e251..    x194 - x285 =E= 0;

e252.. sqr(x98) - x286 =E= 0;

e253..    x113 - x286 =E= 0;

e254.. POWER(x98,3) - x287 =E= 0;

e255..    x200 - x287 =E= 0;

e256.. sqr(x100) - x288 =E= 0;

e257..    x121 - x288 =E= 0;

e258.. POWER(x100,3) - x289 =E= 0;

e259..    x201 - x289 =E= 0;

e260.. sqr(x102) - x290 =E= 0;

e261..    x125 - x290 =E= 0;

e262.. POWER(x102,3) - x291 =E= 0;

e263..    x210 - x291 =E= 0;

e264.. sqr(x104) - x292 =E= 0;

e265..    x20 - x292 =E= 0;

e266.. POWER(x104,3) - x293 =E= 0;

e267..    x215 - x293 =E= 0;

e268.. sqr(x106) - x294 =E= 0;

e269..    x25 - x294 =E= 0;

e270.. POWER(x106,3) - x295 =E= 0;

e271..    x220 - x295 =E= 0;

e272.. sqr(x108) - x296 =E= 0;

e273..    x29 - x296 =E= 0;

e274.. POWER(x108,3) - x297 =E= 0;

e275..    x225 - x297 =E= 0;

e276.. sqr(x110) - x298 =E= 0;

e277..    x31 - x298 =E= 0;

e278.. POWER(x110,3) - x299 =E= 0;

e279..    x230 - x299 =E= 0;

e280.. sqr(x112) - x300 =E= 0;

e281..    x34 - x300 =E= 0;

e282.. POWER(x112,3) - x301 =E= 0;

e283..    x235 - x301 =E= 0;

e284.. sqr(x114) - x302 =E= 0;

e285..    x39 - x302 =E= 0;

e286.. POWER(x114,3) - x303 =E= 0;

e287..    x240 - x303 =E= 0;

e288.. sqr(x116) - x304 =E= 0;

e289..    x41 - x304 =E= 0;

e290.. POWER(x116,3) - x305 =E= 0;

e291..    x245 - x305 =E= 0;

e292.. sqr(x118) - x306 =E= 0;

e293..    x45 - x306 =E= 0;

e294.. POWER(x118,3) - x307 =E= 0;

e295..    x250 - x307 =E= 0;

e296.. sqr(x120) - x308 =E= 0;

e297..    x48 - x308 =E= 0;

e298.. POWER(x120,3) - x309 =E= 0;

e299..    x255 - x309 =E= 0;

e300.. sqr(x122) - x310 =E= 0;

e301..    x51 - x310 =E= 0;

e302.. POWER(x122,3) - x311 =E= 0;

e303..    x260 - x311 =E= 0;

e304.. sqr(x124) - x312 =E= 0;

e305..    x57 - x312 =E= 0;

e306.. POWER(x124,3) - x313 =E= 0;

e307..    x265 - x313 =E= 0;

e308.. sqr(x126) - x314 =E= 0;

e309..    x59 - x314 =E= 0;

e310.. POWER(x126,3) - x315 =E= 0;

e311..    x270 - x315 =E= 0;

e312.. sqr(x128) - x316 =E= 0;

e313..    x62 - x316 =E= 0;

e314.. POWER(x128,3) - x317 =E= 0;

e315..    x271 - x317 =E= 0;

e316.. x94*x176 - x101 =E= 0;

e317.. x176*x282 - x186 =E= 0;

e318.. x98*x176 - x115 =E= 0;

e319.. x176*x286 - x199 =E= 0;

e320.. x102*x176 - x127 =E= 0;

e321.. x176*x290 - x209 =E= 0;

e322.. sqr(x176) - x318 =E= 0;

e323..    x99 - x318 =E= 0;

e324.. x94*x318 - x190 =E= 0;

e325.. x98*x318 - x198 =E= 0;

e326.. x102*x318 - x208 =E= 0;

e327.. POWER(x176,3) - x319 =E= 0;

e328.. b2*x319 - x189 =E= 0;

e329.. b4*x319 - x197 =E= 0;

e330.. b6*x319 - x207 =E= 0;

e331.. x96*x177 - x105 =E= 0;

e332.. x177*x284 - x193 =E= 0;

e333.. x100*x177 - x119 =E= 0;

e334.. x177*x288 - x205 =E= 0;

e335.. x104*x177 - x21 =E= 0;

e336.. x177*x292 - x214 =E= 0;

e337.. sqr(x177) - x320 =E= 0;

e338..    x109 - x320 =E= 0;

e339.. x96*x320 - x192 =E= 0;

e340.. x100*x320 - x204 =E= 0;

e341.. x104*x320 - x213 =E= 0;

e342.. POWER(x177,3) - x321 =E= 0;

e343.. b3*x321 - x191 =E= 0;

e344.. b5*x321 - x203 =E= 0;

e345.. b7*x321 - x212 =E= 0;

e346.. x106*x178 - x24 =E= 0;

e347.. x178*x294 - x219 =E= 0;

e348.. x110*x178 - x32 =E= 0;

e349.. x178*x298 - x229 =E= 0;

e350.. sqr(x178) - x322 =E= 0;

e351..    x23 - x322 =E= 0;

e352.. x106*x322 - x218 =E= 0;

e353.. x110*x322 - x228 =E= 0;

e354.. POWER(x178,3) - x323 =E= 0;

e355.. b8*x323 - x217 =E= 0;

e356.. b10*x323 - x227 =E= 0;

e357.. x108*x179 - x27 =E= 0;

e358.. x179*x296 - x224 =E= 0;

e359.. x112*x179 - x35 =E= 0;

e360.. x179*x300 - x234 =E= 0;

e361.. sqr(x179) - x324 =E= 0;

e362..    x28 - x324 =E= 0;

e363.. x108*x324 - x223 =E= 0;

e364.. x112*x324 - x233 =E= 0;

e365.. POWER(x179,3) - x325 =E= 0;

e366.. b9*x325 - x222 =E= 0;

e367.. b11*x325 - x232 =E= 0;

e368.. x114*x180 - x38 =E= 0;

e369.. x180*x302 - x239 =E= 0;

e370.. x118*x180 - x46 =E= 0;

e371.. x180*x306 - x249 =E= 0;

e372.. sqr(x180) - x326 =E= 0;

e373..    x37 - x326 =E= 0;

e374.. x114*x326 - x238 =E= 0;

e375.. x118*x326 - x248 =E= 0;

e376.. POWER(x180,3) - x327 =E= 0;

e377.. b12*x327 - x237 =E= 0;

e378.. b14*x327 - x247 =E= 0;

e379.. x116*x181 - x42 =E= 0;

e380.. x181*x304 - x244 =E= 0;

e381.. x120*x181 - x49 =E= 0;

e382.. x181*x308 - x254 =E= 0;

e383.. sqr(x181) - x328 =E= 0;

e384..    x43 - x328 =E= 0;

e385.. x116*x328 - x243 =E= 0;

e386.. x120*x328 - x253 =E= 0;

e387.. POWER(x181,3) - x329 =E= 0;

e388.. b13*x329 - x242 =E= 0;

e389.. b15*x329 - x252 =E= 0;

e390.. x122*x182 - x53 =E= 0;

e391.. x182*x310 - x259 =E= 0;

e392.. x126*x182 - x60 =E= 0;

e393.. x182*x314 - x269 =E= 0;

e394.. sqr(x182) - x330 =E= 0;

e395..    x52 - x330 =E= 0;

e396.. x122*x330 - x258 =E= 0;

e397.. x126*x330 - x268 =E= 0;

e398.. POWER(x182,3) - x331 =E= 0;

e399.. b16*x331 - x257 =E= 0;

e400.. b18*x331 - x267 =E= 0;

e401.. x124*x183 - x56 =E= 0;

e402.. x183*x312 - x264 =E= 0;

e403.. x128*x183 - x63 =E= 0;

e404.. x183*x316 - x275 =E= 0;

e405.. sqr(x183) - x332 =E= 0;

e406..    x55 - x332 =E= 0;

e407.. x124*x332 - x263 =E= 0;

e408.. x128*x332 - x274 =E= 0;

e409.. POWER(x183,3) - x333 =E= 0;

e410.. b17*x333 - x262 =E= 0;

e411.. b19*x333 - x273 =E= 0;

* set non-default bounds
x22.lo = -1000; x22.up = 1000;
x26.lo = -1000; x26.up = 1000;
x30.lo = -1000; x30.up = 1000;
x33.lo = -1000; x33.up = 1000;
x36.lo = -1000; x36.up = 1000;
x40.lo = -1000; x40.up = 1000;
x44.lo = -1000; x44.up = 1000;
x47.lo = -1000; x47.up = 1000;
x50.lo = -1000; x50.up = 1000;
x54.lo = -1000; x54.up = 1000;
x58.lo = -1000; x58.up = 1000;
x61.lo = -1000; x61.up = 1000;
x64.up = 5;
x65.up = 5;
x66.up = 5;
x67.up = 2.4;
x68.up = 5;
x69.up = 2.4;
x70.up = 5;
x71.up = 2.4;
x72.up = 5;
x73.up = 2.4;
x74.up = 5;
x75.up = 5;
x76.up = 5;
x77.up = 1.16;
x78.up = 5;
x79.up = 1.16;
x80.up = 5;
x81.up = 5;
x82.fx = 3.5;
x83.lo = 2; x83.up = 5;
x84.lo = 2; x84.up = 5;
x85.lo = 2; x85.up = 5;
x86.fx = 4.1;
x87.lo = 2.5; x87.up = 5;
x88.lo = 2.5; x88.up = 5;
x89.lo = 2.5; x89.up = 5;
x90.fx = 4;
x91.lo = 2; x91.up = 6;
x92.lo = 2; x92.up = 6;
x93.lo = 2; x93.up = 6;
x94.up = 0.8;
x95.lo = -1000; x95.up = 1000;
x96.up = 0.8;
x98.up = 0.8;
x100.up = 0.8;
x102.up = 0.8;
x103.lo = -1000; x103.up = 1000;
x104.up = 0.8;
x106.up = 0.5;
x108.up = 0.5;
x110.up = 0.5;
x111.lo = -1000; x111.up = 1000;
x112.up = 0.5;
x114.up = 0.7;
x116.up = 0.7;
x117.lo = -1000; x117.up = 1000;
x118.up = 0.7;
x120.up = 0.7;
x122.up = 0.58;
x123.lo = -1000; x123.up = 1000;
x124.up = 0.58;
x126.up = 0.58;
x128.up = 0.58;
x129.lo = -1000; x129.up = 1000;
x130.lo = 62; x130.up = 65;
x131.lo = 62; x131.up = 65;
x132.lo = 92.5; x132.up = 95;
x133.lo = 92.5; x133.up = 95;
x134.lo = 105; x134.up = 109;
x135.lo = 105; x135.up = 109;
x136.up = 1000;
x137.lo = -125; x137.up = 125;
x138.up = 1000;
x139.lo = -125; x139.up = 125;
x140.up = 1000;
x141.up = 1000;
x142.lo = -100; x142.up = 100;
x143.up = 1000;
x144.up = 1000;
x145.lo = -100; x145.up = 100;
x146.up = 1000;
x147.lo = -125; x147.up = 125;
x148.up = 1000;
x149.lo = -125; x149.up = 125;
x150.fx = 49;
x151.lo = -49; x151.up = 1000;
x152.fx = 49;
x153.lo = -49; x153.up = 1000;
x154.lo = -65; x154.up = 1000;
x155.lo = -65; x155.up = 1000;
x156.lo = -95; x156.up = 1000;
x157.lo = -95; x157.up = 1000;
x158.lo = 0.2; x158.up = 0.8;
x159.lo = 0.2; x159.up = 0.8;
x160.lo = 0.2; x160.up = 0.8;
x161.lo = 0.2; x161.up = 0.8;
x162.lo = 0.2; x162.up = 0.8;
x163.lo = 0.2; x163.up = 0.8;
x164.lo = 0.25; x164.up = 0.5;
x165.lo = 0.25; x165.up = 0.5;
x166.lo = 0.25; x166.up = 0.5;
x167.lo = 0.25; x167.up = 0.5;
x168.lo = 0.4; x168.up = 0.7;
x169.lo = 0.4; x169.up = 0.7;
x170.lo = 0.4; x170.up = 0.7;
x171.lo = 0.4; x171.up = 0.7;
x172.lo = 0.24; x172.up = 0.58;
x173.lo = 0.24; x173.up = 0.58;
x174.lo = 0.24; x174.up = 0.58;
x175.lo = 0.24; x175.up = 0.58;
x176.lo = 0.6; x176.up = 1;
x177.lo = 0.6; x177.up = 1;
x178.lo = 0.8; x178.up = 1;
x179.lo = 0.8; x179.up = 1;
x180.lo = 0.85; x180.up = 1;
x181.lo = 0.85; x181.up = 1;
x182.lo = 0.7; x182.up = 1;
x183.lo = 0.7; x183.up = 1;
x184.lo = 100; x184.up = 1000;
x185.lo = 100; x185.up = 1000;
x188.up = 54.1717996137183;
x195.up = 54.1717996137183;
x196.up = 54.1717996137183;
x202.up = 54.1717996137183;
x206.up = 54.1717996137183;
x211.up = 54.1717996137183;
x216.up = 93.045051789432;
x221.up = 93.045051789432;
x226.up = 93.045051789432;
x231.up = 93.045051789432;
x236.up = 112.384987749469;
x241.up = 112.384987749469;
x246.up = 112.384987749469;
x251.up = 112.384987749469;
x256.up = 42.066542469172;
x261.up = 42.066542469172;
x266.up = 42.066542469172;
x272.up = 42.066542469172;
x276.up = 25;
x277.up = 25;
x278.up = 25;
x279.up = 25;
x280.up = 25;
x281.up = 25;
x282.up = 0.64;
x283.up = 0.512;
x284.up = 0.64;
x285.up = 0.512;
x286.up = 0.64;
x287.up = 0.512;
x288.up = 0.64;
x289.up = 0.512;
x290.up = 0.64;
x291.up = 0.512;
x292.up = 0.64;
x293.up = 0.512;
x294.up = 0.25;
x295.up = 0.125;
x296.up = 0.25;
x297.up = 0.125;
x298.up = 0.25;
x299.up = 0.125;
x300.up = 0.25;
x301.up = 0.125;
x302.up = 0.49;
x303.up = 0.343;
x304.up = 0.49;
x305.up = 0.343;
x306.up = 0.49;
x307.up = 0.343;
x308.up = 0.49;
x309.up = 0.343;
x310.up = 0.3364;
x311.up = 0.195112;
x312.up = 0.3364;
x313.up = 0.195112;
x314.up = 0.3364;
x315.up = 0.195112;
x316.up = 0.3364;
x317.up = 0.195112;
x318.lo = 0.36; x318.up = 1;
x319.lo = 0.216; x319.up = 1;
x320.lo = 0.36; x320.up = 1;
x321.lo = 0.216; x321.up = 1;
x322.lo = 0.64; x322.up = 1;
x323.lo = 0.512; x323.up = 1;
x324.lo = 0.64; x324.up = 1;
x325.lo = 0.512; x325.up = 1;
x326.lo = 0.7225; x326.up = 1;
x327.lo = 0.614125; x327.up = 1;
x328.lo = 0.7225; x328.up = 1;
x329.lo = 0.614125; x329.up = 1;
x330.lo = 0.49; x330.up = 1;
x331.lo = 0.343; x331.up = 1;
x332.lo = 0.49; x332.up = 1;
x333.lo = 0.343; x333.up = 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: 2022-10-14 Git hash: 2be6d7c0
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