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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: fo9

Facility Layout
Formats ams gms mod nl osil
Primal Bounds
23.46428571 p1 ( gdx sol )
(infeas: 4e-15)
Dual Bounds
23.46428544 (ALPHAECP)
23.46428571 (ANTIGONE)
23.46428267 (BARON)
7.40577774 (BONMIN)
7.99264055 (COUENNE)
3.00000000 (LINDO)
23.46428571 (SCIP)
References Westerlund, Tapio and Lundqvist, Kurt, Alpha-ECP, Version 5.01 An Interactive MINLP-Solver Based on the Extended Cutting Plane Method, Tech. Rep. 01-178-A, Process Design Laboratory at Abo University, 2001.
Application Layout
Added to library 26 Oct 2004
Problem type MBNLP
#Variables 182
#Binary Variables 72
#Integer Variables 0
#Nonlinear Variables 18
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 16
#Nonlinear Nonzeros in Objective 0
#Constraints 343
#Linear Constraints 325
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 18
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature convex
#Nonzeros in Jacobian 1424
#Nonlinear Nonzeros in Jacobian 18
#Nonzeros in (Upper-Left) Hessian of Lagrangian 18
#Nonzeros in Diagonal of Hessian of Lagrangian 18
#Blocks in Hessian of Lagrangian 18
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
Infeasibility of initial point 9
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
*        344        1        0      343        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        183      111       72        0        0        0        0        0
*  FX      2
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1441     1423       18        0
*
*  Solve m using MINLP minimizing objvar;


Variables  b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18,b19
          ,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35,b36
          ,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52,b53
          ,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69,b70
          ,b71,b72,objvar,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;

Binary Variables  b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17
          ,b18,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34
          ,b35,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51
          ,b52,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68
          ,b69,b70,b71,b72;

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;


e1..    objvar - x74 - x75 - x90 - x91 - x104 - x105 - x116 - x117 - x126
      - x127 - x134 - x135 - x140 - x141 - x144 - x145 =E= 0;

e2..    x166 - x167 =L= 0;

e3..    0.5*x146 - x155 + x166 =L= 0;

e4..    0.5*x146 - x166 =L= 0;

e5..    0.5*x156 - x165 + x175 =L= 0;

e6..    0.5*x156 - x175 =L= 0;

e7..    0.5*x147 - x155 + x167 =L= 0;

e8..    0.5*x147 - x167 =L= 0;

e9..    0.5*x157 - x165 + x176 =L= 0;

e10..    0.5*x157 - x176 =L= 0;

e11..    0.5*x148 - x155 + x168 =L= 0;

e12..    0.5*x148 - x168 =L= 0;

e13..    0.5*x158 - x165 + x177 =L= 0;

e14..    0.5*x158 - x177 =L= 0;

e15..    0.5*x149 - x155 + x169 =L= 0;

e16..    0.5*x149 - x169 =L= 0;

e17..    0.5*x159 - x165 + x178 =L= 0;

e18..    0.5*x159 - x178 =L= 0;

e19..    0.5*x150 - x155 + x170 =L= 0;

e20..    0.5*x150 - x170 =L= 0;

e21..    0.5*x160 - x165 + x179 =L= 0;

e22..    0.5*x160 - x179 =L= 0;

e23..    0.5*x151 - x155 + x171 =L= 0;

e24..    0.5*x151 - x171 =L= 0;

e25..    0.5*x161 - x165 + x180 =L= 0;

e26..    0.5*x161 - x180 =L= 0;

e27..    0.5*x152 - x155 + x172 =L= 0;

e28..    0.5*x152 - x172 =L= 0;

e29..    0.5*x162 - x165 + x181 =L= 0;

e30..    0.5*x162 - x181 =L= 0;

e31..    0.5*x153 - x155 + x173 =L= 0;

e32..    0.5*x153 - x173 =L= 0;

e33..    0.5*x163 - x165 + x182 =L= 0;

e34..    0.5*x163 - x182 =L= 0;

e35..    0.5*x154 - x155 + x174 =L= 0;

e36..    0.5*x154 - x174 =L= 0;

e37..    0.5*x164 - x165 + x183 =L= 0;

e38..    0.5*x164 - x183 =L= 0;

e39..  - x74 + x166 - x167 =L= 0;

e40..  - x74 - x166 + x167 =L= 0;

e41..  - x75 + x175 - x176 =L= 0;

e42..  - x75 - x175 + x176 =L= 0;

e43..  - 12*b1 - 12*b2 + 0.5*x146 + 0.5*x147 - x166 + x167 =L= 0;

e44..  - 12*b1 + 12*b2 + 0.5*x146 + 0.5*x147 + x166 - x167 =L= 12;

e45..    13*b1 - 13*b2 + 0.5*x156 + 0.5*x157 - x175 + x176 =L= 13;

e46..    13*b1 + 13*b2 + 0.5*x156 + 0.5*x157 + x175 - x176 =L= 26;

e47..  - x76 + x166 - x168 =L= 0;

e48..  - x76 - x166 + x168 =L= 0;

e49..  - x77 + x175 - x177 =L= 0;

e50..  - x77 - x175 + x177 =L= 0;

e51..  - 12*b3 - 12*b4 + 0.5*x146 + 0.5*x148 - x166 + x168 =L= 0;

e52..  - 12*b3 + 12*b4 + 0.5*x146 + 0.5*x148 + x166 - x168 =L= 12;

e53..    13*b3 - 13*b4 + 0.5*x156 + 0.5*x158 - x175 + x177 =L= 13;

e54..    13*b3 + 13*b4 + 0.5*x156 + 0.5*x158 + x175 - x177 =L= 26;

e55..  - x78 + x166 - x169 =L= 0;

e56..  - x78 - x166 + x169 =L= 0;

e57..  - x79 + x175 - x178 =L= 0;

e58..  - x79 - x175 + x178 =L= 0;

e59..  - 12*b5 - 12*b6 + 0.5*x146 + 0.5*x149 - x166 + x169 =L= 0;

e60..  - 12*b5 + 12*b6 + 0.5*x146 + 0.5*x149 + x166 - x169 =L= 12;

e61..    13*b5 - 13*b6 + 0.5*x156 + 0.5*x159 - x175 + x178 =L= 13;

e62..    13*b5 + 13*b6 + 0.5*x156 + 0.5*x159 + x175 - x178 =L= 26;

e63..  - x80 + x166 - x170 =L= 0;

e64..  - x80 - x166 + x170 =L= 0;

e65..  - x81 + x175 - x179 =L= 0;

e66..  - x81 - x175 + x179 =L= 0;

e67..  - 12*b7 - 12*b8 + 0.5*x146 + 0.5*x150 - x166 + x170 =L= 0;

e68..  - 12*b7 + 12*b8 + 0.5*x146 + 0.5*x150 + x166 - x170 =L= 12;

e69..    13*b7 - 13*b8 + 0.5*x156 + 0.5*x160 - x175 + x179 =L= 13;

e70..    13*b7 + 13*b8 + 0.5*x156 + 0.5*x160 + x175 - x179 =L= 26;

e71..  - x82 + x166 - x171 =L= 0;

e72..  - x82 - x166 + x171 =L= 0;

e73..  - x83 + x175 - x180 =L= 0;

e74..  - x83 - x175 + x180 =L= 0;

e75..  - 12*b9 - 12*b10 + 0.5*x146 + 0.5*x151 - x166 + x171 =L= 0;

e76..  - 12*b9 + 12*b10 + 0.5*x146 + 0.5*x151 + x166 - x171 =L= 12;

e77..    13*b9 - 13*b10 + 0.5*x156 + 0.5*x161 - x175 + x180 =L= 13;

e78..    13*b9 + 13*b10 + 0.5*x156 + 0.5*x161 + x175 - x180 =L= 26;

e79..  - x84 + x166 - x172 =L= 0;

e80..  - x84 - x166 + x172 =L= 0;

e81..  - x85 + x175 - x181 =L= 0;

e82..  - x85 - x175 + x181 =L= 0;

e83..  - 12*b11 - 12*b12 + 0.5*x146 + 0.5*x152 - x166 + x172 =L= 0;

e84..  - 12*b11 + 12*b12 + 0.5*x146 + 0.5*x152 + x166 - x172 =L= 12;

e85..    13*b11 - 13*b12 + 0.5*x156 + 0.5*x162 - x175 + x181 =L= 13;

e86..    13*b11 + 13*b12 + 0.5*x156 + 0.5*x162 + x175 - x181 =L= 26;

e87..  - x86 + x166 - x173 =L= 0;

e88..  - x86 - x166 + x173 =L= 0;

e89..  - x87 + x175 - x182 =L= 0;

e90..  - x87 - x175 + x182 =L= 0;

e91..  - 12*b13 - 12*b14 + 0.5*x146 + 0.5*x153 - x166 + x173 =L= 0;

e92..  - 12*b13 + 12*b14 + 0.5*x146 + 0.5*x153 + x166 - x173 =L= 12;

e93..    13*b13 - 13*b14 + 0.5*x156 + 0.5*x163 - x175 + x182 =L= 13;

e94..    13*b13 + 13*b14 + 0.5*x156 + 0.5*x163 + x175 - x182 =L= 26;

e95..  - x88 + x166 - x174 =L= 0;

e96..  - x88 - x166 + x174 =L= 0;

e97..  - x89 + x175 - x183 =L= 0;

e98..  - x89 - x175 + x183 =L= 0;

e99..  - 12*b15 - 12*b16 + 0.5*x146 + 0.5*x154 - x166 + x174 =L= 0;

e100..  - 12*b15 + 12*b16 + 0.5*x146 + 0.5*x154 + x166 - x174 =L= 12;

e101..    13*b15 - 13*b16 + 0.5*x156 + 0.5*x164 - x175 + x183 =L= 13;

e102..    13*b15 + 13*b16 + 0.5*x156 + 0.5*x164 + x175 - x183 =L= 26;

e103..  - x90 + x167 - x168 =L= 0;

e104..  - x90 - x167 + x168 =L= 0;

e105..  - x91 + x176 - x177 =L= 0;

e106..  - x91 - x176 + x177 =L= 0;

e107..  - 12*b17 - 12*b18 + 0.5*x147 + 0.5*x148 - x167 + x168 =L= 0;

e108..  - 12*b17 + 12*b18 + 0.5*x147 + 0.5*x148 + x167 - x168 =L= 12;

e109..    13*b17 - 13*b18 + 0.5*x157 + 0.5*x158 - x176 + x177 =L= 13;

e110..    13*b17 + 13*b18 + 0.5*x157 + 0.5*x158 + x176 - x177 =L= 26;

e111..  - x92 + x167 - x169 =L= 0;

e112..  - x92 - x167 + x169 =L= 0;

e113..  - x93 + x176 - x178 =L= 0;

e114..  - x93 - x176 + x178 =L= 0;

e115..  - 12*b19 - 12*b20 + 0.5*x147 + 0.5*x149 - x167 + x169 =L= 0;

e116..  - 12*b19 + 12*b20 + 0.5*x147 + 0.5*x149 + x167 - x169 =L= 12;

e117..    13*b19 - 13*b20 + 0.5*x157 + 0.5*x159 - x176 + x178 =L= 13;

e118..    13*b19 + 13*b20 + 0.5*x157 + 0.5*x159 + x176 - x178 =L= 26;

e119..  - x94 + x167 - x170 =L= 0;

e120..  - x94 - x167 + x170 =L= 0;

e121..  - x95 + x176 - x179 =L= 0;

e122..  - x95 - x176 + x179 =L= 0;

e123..  - 12*b21 - 12*b22 + 0.5*x147 + 0.5*x150 - x167 + x170 =L= 0;

e124..  - 12*b21 + 12*b22 + 0.5*x147 + 0.5*x150 + x167 - x170 =L= 12;

e125..    13*b21 - 13*b22 + 0.5*x157 + 0.5*x160 - x176 + x179 =L= 13;

e126..    13*b21 + 13*b22 + 0.5*x157 + 0.5*x160 + x176 - x179 =L= 26;

e127..  - x96 + x167 - x171 =L= 0;

e128..  - x96 - x167 + x171 =L= 0;

e129..  - x97 + x176 - x180 =L= 0;

e130..  - x97 - x176 + x180 =L= 0;

e131..  - 12*b23 - 12*b24 + 0.5*x147 + 0.5*x151 - x167 + x171 =L= 0;

e132..  - 12*b23 + 12*b24 + 0.5*x147 + 0.5*x151 + x167 - x171 =L= 12;

e133..    13*b23 - 13*b24 + 0.5*x157 + 0.5*x161 - x176 + x180 =L= 13;

e134..    13*b23 + 13*b24 + 0.5*x157 + 0.5*x161 + x176 - x180 =L= 26;

e135..  - x98 + x167 - x172 =L= 0;

e136..  - x98 - x167 + x172 =L= 0;

e137..  - x99 + x176 - x181 =L= 0;

e138..  - x99 - x176 + x181 =L= 0;

e139..  - 12*b25 - 12*b26 + 0.5*x147 + 0.5*x152 - x167 + x172 =L= 0;

e140..  - 12*b25 + 12*b26 + 0.5*x147 + 0.5*x152 + x167 - x172 =L= 12;

e141..    13*b25 - 13*b26 + 0.5*x157 + 0.5*x162 - x176 + x181 =L= 13;

e142..    13*b25 + 13*b26 + 0.5*x157 + 0.5*x162 + x176 - x181 =L= 26;

e143..  - x100 + x167 - x173 =L= 0;

e144..  - x100 - x167 + x173 =L= 0;

e145..  - x101 + x176 - x182 =L= 0;

e146..  - x101 - x176 + x182 =L= 0;

e147..  - 12*b27 - 12*b28 + 0.5*x147 + 0.5*x153 - x167 + x173 =L= 0;

e148..  - 12*b27 + 12*b28 + 0.5*x147 + 0.5*x153 + x167 - x173 =L= 12;

e149..    13*b27 - 13*b28 + 0.5*x157 + 0.5*x163 - x176 + x182 =L= 13;

e150..    13*b27 + 13*b28 + 0.5*x157 + 0.5*x163 + x176 - x182 =L= 26;

e151..  - x102 + x167 - x174 =L= 0;

e152..  - x102 - x167 + x174 =L= 0;

e153..  - x103 + x176 - x183 =L= 0;

e154..  - x103 - x176 + x183 =L= 0;

e155..  - 12*b29 - 12*b30 + 0.5*x147 + 0.5*x154 - x167 + x174 =L= 0;

e156..  - 12*b29 + 12*b30 + 0.5*x147 + 0.5*x154 + x167 - x174 =L= 12;

e157..    13*b29 - 13*b30 + 0.5*x157 + 0.5*x164 - x176 + x183 =L= 13;

e158..    13*b29 + 13*b30 + 0.5*x157 + 0.5*x164 + x176 - x183 =L= 26;

e159..  - x104 + x168 - x169 =L= 0;

e160..  - x104 - x168 + x169 =L= 0;

e161..  - x105 + x177 - x178 =L= 0;

e162..  - x105 - x177 + x178 =L= 0;

e163..  - 12*b31 - 12*b32 + 0.5*x148 + 0.5*x149 - x168 + x169 =L= 0;

e164..  - 12*b31 + 12*b32 + 0.5*x148 + 0.5*x149 + x168 - x169 =L= 12;

e165..    13*b31 - 13*b32 + 0.5*x158 + 0.5*x159 - x177 + x178 =L= 13;

e166..    13*b31 + 13*b32 + 0.5*x158 + 0.5*x159 + x177 - x178 =L= 26;

e167..  - x106 + x168 - x170 =L= 0;

e168..  - x106 - x168 + x170 =L= 0;

e169..  - x107 + x177 - x179 =L= 0;

e170..  - x107 - x177 + x179 =L= 0;

e171..  - 12*b33 - 12*b34 + 0.5*x148 + 0.5*x150 - x168 + x170 =L= 0;

e172..  - 12*b33 + 12*b34 + 0.5*x148 + 0.5*x150 + x168 - x170 =L= 12;

e173..    13*b33 - 13*b34 + 0.5*x158 + 0.5*x160 - x177 + x179 =L= 13;

e174..    13*b33 + 13*b34 + 0.5*x158 + 0.5*x160 + x177 - x179 =L= 26;

e175..  - x108 + x168 - x171 =L= 0;

e176..  - x108 - x168 + x171 =L= 0;

e177..  - x109 + x177 - x180 =L= 0;

e178..  - x109 - x177 + x180 =L= 0;

e179..  - 12*b35 - 12*b36 + 0.5*x148 + 0.5*x151 - x168 + x171 =L= 0;

e180..  - 12*b35 + 12*b36 + 0.5*x148 + 0.5*x151 + x168 - x171 =L= 12;

e181..    13*b35 - 13*b36 + 0.5*x158 + 0.5*x161 - x177 + x180 =L= 13;

e182..    13*b35 + 13*b36 + 0.5*x158 + 0.5*x161 + x177 - x180 =L= 26;

e183..  - x110 + x168 - x172 =L= 0;

e184..  - x110 - x168 + x172 =L= 0;

e185..  - x111 + x177 - x181 =L= 0;

e186..  - x111 - x177 + x181 =L= 0;

e187..  - 12*b37 - 12*b38 + 0.5*x148 + 0.5*x152 - x168 + x172 =L= 0;

e188..  - 12*b37 + 12*b38 + 0.5*x148 + 0.5*x152 + x168 - x172 =L= 12;

e189..    13*b37 - 13*b38 + 0.5*x158 + 0.5*x162 - x177 + x181 =L= 13;

e190..    13*b37 + 13*b38 + 0.5*x158 + 0.5*x162 + x177 - x181 =L= 26;

e191..  - x112 + x168 - x173 =L= 0;

e192..  - x112 - x168 + x173 =L= 0;

e193..  - x113 + x177 - x182 =L= 0;

e194..  - x113 - x177 + x182 =L= 0;

e195..  - 12*b39 - 12*b40 + 0.5*x148 + 0.5*x153 - x168 + x173 =L= 0;

e196..  - 12*b39 + 12*b40 + 0.5*x148 + 0.5*x153 + x168 - x173 =L= 12;

e197..    13*b39 - 13*b40 + 0.5*x158 + 0.5*x163 - x177 + x182 =L= 13;

e198..    13*b39 + 13*b40 + 0.5*x158 + 0.5*x163 + x177 - x182 =L= 26;

e199..  - x114 + x168 - x174 =L= 0;

e200..  - x114 - x168 + x174 =L= 0;

e201..  - x115 + x177 - x183 =L= 0;

e202..  - x115 - x177 + x183 =L= 0;

e203..  - 12*b41 - 12*b42 + 0.5*x148 + 0.5*x154 - x168 + x174 =L= 0;

e204..  - 12*b41 + 12*b42 + 0.5*x148 + 0.5*x154 + x168 - x174 =L= 12;

e205..    13*b41 - 13*b42 + 0.5*x158 + 0.5*x164 - x177 + x183 =L= 13;

e206..    13*b41 + 13*b42 + 0.5*x158 + 0.5*x164 + x177 - x183 =L= 26;

e207..  - x116 + x169 - x170 =L= 0;

e208..  - x116 - x169 + x170 =L= 0;

e209..  - x117 + x178 - x179 =L= 0;

e210..  - x117 - x178 + x179 =L= 0;

e211..  - 12*b43 - 12*b44 + 0.5*x149 + 0.5*x150 - x169 + x170 =L= 0;

e212..  - 12*b43 + 12*b44 + 0.5*x149 + 0.5*x150 + x169 - x170 =L= 12;

e213..    13*b43 - 13*b44 + 0.5*x159 + 0.5*x160 - x178 + x179 =L= 13;

e214..    13*b43 + 13*b44 + 0.5*x159 + 0.5*x160 + x178 - x179 =L= 26;

e215..  - x118 + x169 - x171 =L= 0;

e216..  - x118 - x169 + x171 =L= 0;

e217..  - x119 + x178 - x180 =L= 0;

e218..  - x119 - x178 + x180 =L= 0;

e219..  - 12*b45 - 12*b46 + 0.5*x149 + 0.5*x151 - x169 + x171 =L= 0;

e220..  - 12*b45 + 12*b46 + 0.5*x149 + 0.5*x151 + x169 - x171 =L= 12;

e221..    13*b45 - 13*b46 + 0.5*x159 + 0.5*x161 - x178 + x180 =L= 13;

e222..    13*b45 + 13*b46 + 0.5*x159 + 0.5*x161 + x178 - x180 =L= 26;

e223..  - x120 + x169 - x172 =L= 0;

e224..  - x120 - x169 + x172 =L= 0;

e225..  - x121 + x178 - x181 =L= 0;

e226..  - x121 - x178 + x181 =L= 0;

e227..  - 12*b47 - 12*b48 + 0.5*x149 + 0.5*x152 - x169 + x172 =L= 0;

e228..  - 12*b47 + 12*b48 + 0.5*x149 + 0.5*x152 + x169 - x172 =L= 12;

e229..    13*b47 - 13*b48 + 0.5*x159 + 0.5*x162 - x178 + x181 =L= 13;

e230..    13*b47 + 13*b48 + 0.5*x159 + 0.5*x162 + x178 - x181 =L= 26;

e231..  - x122 + x169 - x173 =L= 0;

e232..  - x122 - x169 + x173 =L= 0;

e233..  - x123 + x178 - x182 =L= 0;

e234..  - x123 - x178 + x182 =L= 0;

e235..  - 12*b49 - 12*b50 + 0.5*x149 + 0.5*x153 - x169 + x173 =L= 0;

e236..  - 12*b49 + 12*b50 + 0.5*x149 + 0.5*x153 + x169 - x173 =L= 12;

e237..    13*b49 - 13*b50 + 0.5*x159 + 0.5*x163 - x178 + x182 =L= 13;

e238..    13*b49 + 13*b50 + 0.5*x159 + 0.5*x163 + x178 - x182 =L= 26;

e239..  - x124 + x169 - x174 =L= 0;

e240..  - x124 - x169 + x174 =L= 0;

e241..  - x125 + x178 - x183 =L= 0;

e242..  - x125 - x178 + x183 =L= 0;

e243..  - 12*b51 - 12*b52 + 0.5*x149 + 0.5*x154 - x169 + x174 =L= 0;

e244..  - 12*b51 + 12*b52 + 0.5*x149 + 0.5*x154 + x169 - x174 =L= 12;

e245..    13*b51 - 13*b52 + 0.5*x159 + 0.5*x164 - x178 + x183 =L= 13;

e246..    13*b51 + 13*b52 + 0.5*x159 + 0.5*x164 + x178 - x183 =L= 26;

e247..  - x126 + x170 - x171 =L= 0;

e248..  - x126 - x170 + x171 =L= 0;

e249..  - x127 + x179 - x180 =L= 0;

e250..  - x127 - x179 + x180 =L= 0;

e251..  - 12*b53 - 12*b54 + 0.5*x150 + 0.5*x151 - x170 + x171 =L= 0;

e252..  - 12*b53 + 12*b54 + 0.5*x150 + 0.5*x151 + x170 - x171 =L= 12;

e253..    13*b53 - 13*b54 + 0.5*x160 + 0.5*x161 - x179 + x180 =L= 13;

e254..    13*b53 + 13*b54 + 0.5*x160 + 0.5*x161 + x179 - x180 =L= 26;

e255..  - x128 + x170 - x172 =L= 0;

e256..  - x128 - x170 + x172 =L= 0;

e257..  - x129 + x179 - x181 =L= 0;

e258..  - x129 - x179 + x181 =L= 0;

e259..  - 12*b55 - 12*b56 + 0.5*x150 + 0.5*x152 - x170 + x172 =L= 0;

e260..  - 12*b55 + 12*b56 + 0.5*x150 + 0.5*x152 + x170 - x172 =L= 12;

e261..    13*b55 - 13*b56 + 0.5*x160 + 0.5*x162 - x179 + x181 =L= 13;

e262..    13*b55 + 13*b56 + 0.5*x160 + 0.5*x162 + x179 - x181 =L= 26;

e263..  - x130 + x170 - x173 =L= 0;

e264..  - x130 - x170 + x173 =L= 0;

e265..  - x131 + x179 - x182 =L= 0;

e266..  - x131 - x179 + x182 =L= 0;

e267..  - 12*b57 - 12*b58 + 0.5*x150 + 0.5*x153 - x170 + x173 =L= 0;

e268..  - 12*b57 + 12*b58 + 0.5*x150 + 0.5*x153 + x170 - x173 =L= 12;

e269..    13*b57 - 13*b58 + 0.5*x160 + 0.5*x163 - x179 + x182 =L= 13;

e270..    13*b57 + 13*b58 + 0.5*x160 + 0.5*x163 + x179 - x182 =L= 26;

e271..  - x132 + x170 - x174 =L= 0;

e272..  - x132 - x170 + x174 =L= 0;

e273..  - x133 + x179 - x183 =L= 0;

e274..  - x133 - x179 + x183 =L= 0;

e275..  - 12*b59 - 12*b60 + 0.5*x150 + 0.5*x154 - x170 + x174 =L= 0;

e276..  - 12*b59 + 12*b60 + 0.5*x150 + 0.5*x154 + x170 - x174 =L= 12;

e277..    13*b59 - 13*b60 + 0.5*x160 + 0.5*x164 - x179 + x183 =L= 13;

e278..    13*b59 + 13*b60 + 0.5*x160 + 0.5*x164 + x179 - x183 =L= 26;

e279..  - x134 + x171 - x172 =L= 0;

e280..  - x134 - x171 + x172 =L= 0;

e281..  - x135 + x180 - x181 =L= 0;

e282..  - x135 - x180 + x181 =L= 0;

e283..  - 12*b61 - 12*b62 + 0.5*x151 + 0.5*x152 - x171 + x172 =L= 0;

e284..  - 12*b61 + 12*b62 + 0.5*x151 + 0.5*x152 + x171 - x172 =L= 12;

e285..    13*b61 - 13*b62 + 0.5*x161 + 0.5*x162 - x180 + x181 =L= 13;

e286..    13*b61 + 13*b62 + 0.5*x161 + 0.5*x162 + x180 - x181 =L= 26;

e287..  - x136 + x171 - x173 =L= 0;

e288..  - x136 - x171 + x173 =L= 0;

e289..  - x137 + x180 - x182 =L= 0;

e290..  - x137 - x180 + x182 =L= 0;

e291..  - 12*b63 - 12*b64 + 0.5*x151 + 0.5*x153 - x171 + x173 =L= 0;

e292..  - 12*b63 + 12*b64 + 0.5*x151 + 0.5*x153 + x171 - x173 =L= 12;

e293..    13*b63 - 13*b64 + 0.5*x161 + 0.5*x163 - x180 + x182 =L= 13;

e294..    13*b63 + 13*b64 + 0.5*x161 + 0.5*x163 + x180 - x182 =L= 26;

e295..  - x138 + x171 - x174 =L= 0;

e296..  - x138 - x171 + x174 =L= 0;

e297..  - x139 + x180 - x183 =L= 0;

e298..  - x139 - x180 + x183 =L= 0;

e299..  - 12*b65 - 12*b66 + 0.5*x151 + 0.5*x154 - x171 + x174 =L= 0;

e300..  - 12*b65 + 12*b66 + 0.5*x151 + 0.5*x154 + x171 - x174 =L= 12;

e301..    13*b65 - 13*b66 + 0.5*x161 + 0.5*x164 - x180 + x183 =L= 13;

e302..    13*b65 + 13*b66 + 0.5*x161 + 0.5*x164 + x180 - x183 =L= 26;

e303..  - x140 + x172 - x173 =L= 0;

e304..  - x140 - x172 + x173 =L= 0;

e305..  - x141 + x181 - x182 =L= 0;

e306..  - x141 - x181 + x182 =L= 0;

e307..  - 12*b67 - 12*b68 + 0.5*x152 + 0.5*x153 - x172 + x173 =L= 0;

e308..  - 12*b67 + 12*b68 + 0.5*x152 + 0.5*x153 + x172 - x173 =L= 12;

e309..    13*b67 - 13*b68 + 0.5*x162 + 0.5*x163 - x181 + x182 =L= 13;

e310..    13*b67 + 13*b68 + 0.5*x162 + 0.5*x163 + x181 - x182 =L= 26;

e311..  - x142 + x172 - x174 =L= 0;

e312..  - x142 - x172 + x174 =L= 0;

e313..  - x143 + x181 - x183 =L= 0;

e314..  - x143 - x181 + x183 =L= 0;

e315..  - 12*b69 - 12*b70 + 0.5*x152 + 0.5*x154 - x172 + x174 =L= 0;

e316..  - 12*b69 + 12*b70 + 0.5*x152 + 0.5*x154 + x172 - x174 =L= 12;

e317..    13*b69 - 13*b70 + 0.5*x162 + 0.5*x164 - x181 + x183 =L= 13;

e318..    13*b69 + 13*b70 + 0.5*x162 + 0.5*x164 + x181 - x183 =L= 26;

e319..  - x144 + x173 - x174 =L= 0;

e320..  - x144 - x173 + x174 =L= 0;

e321..  - x145 + x182 - x183 =L= 0;

e322..  - x145 - x182 + x183 =L= 0;

e323..  - 12*b71 - 12*b72 + 0.5*x153 + 0.5*x154 - x173 + x174 =L= 0;

e324..  - 12*b71 + 12*b72 + 0.5*x153 + 0.5*x154 + x173 - x174 =L= 12;

e325..    13*b71 - 13*b72 + 0.5*x163 + 0.5*x164 - x182 + x183 =L= 13;

e326..    13*b71 + 13*b72 + 0.5*x163 + 0.5*x164 + x182 - x183 =L= 26;

e327.. 16/x146 - x156 =L= 0;

e328.. 16/x156 - x146 =L= 0;

e329.. 16/x147 - x157 =L= 0;

e330.. 16/x157 - x147 =L= 0;

e331.. 16/x148 - x158 =L= 0;

e332.. 16/x158 - x148 =L= 0;

e333.. 36/x149 - x159 =L= 0;

e334.. 36/x159 - x149 =L= 0;

e335.. 36/x150 - x160 =L= 0;

e336.. 36/x160 - x150 =L= 0;

e337.. 9/x151 - x161 =L= 0;

e338.. 9/x161 - x151 =L= 0;

e339.. 9/x152 - x162 =L= 0;

e340.. 9/x162 - x152 =L= 0;

e341.. 9/x153 - x163 =L= 0;

e342.. 9/x163 - x153 =L= 0;

e343.. 9/x154 - x164 =L= 0;

e344.. 9/x164 - x154 =L= 0;

* set non-default bounds
x146.lo = 2; x146.up = 8;
x147.lo = 2; x147.up = 8;
x148.lo = 2; x148.up = 8;
x149.lo = 3; x149.up = 12;
x150.lo = 3; x150.up = 12;
x151.lo = 1.5; x151.up = 6;
x152.lo = 1.5; x152.up = 6;
x153.lo = 1.5; x153.up = 6;
x154.lo = 1.5; x154.up = 6;
x155.fx = 12;
x156.lo = 2; x156.up = 8;
x157.lo = 2; x157.up = 8;
x158.lo = 2; x158.up = 8;
x159.lo = 3; x159.up = 12;
x160.lo = 3; x160.up = 12;
x161.lo = 1.5; x161.up = 6;
x162.lo = 1.5; x162.up = 6;
x163.lo = 1.5; x163.up = 6;
x164.lo = 1.5; x164.up = 6;
x165.fx = 13;

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: 2018-09-14 Git hash: ac5a5314
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