MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: forest

Formats ams gms lp mod osil pip
Primal Bounds
14396226.49000000 p1 ( gdx sol )
(infeas: 5e-09)
Dual Bounds
14397666.11000000 (ANTIGONE)
20413100.06000000 (BARON)
14396226.49000000 (COUENNE)
17897858.03000000 (LINDO)
20248236.19000000 (SCIP)
Source AIMMS clients
Application Chain Optimization
Added to library 06 Feb 2017
Problem type MBQCP
#Variables 236
#Binary Variables 73
#Integer Variables 0
#Nonlinear Variables 155
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 6
#Nonlinear Nonzeros in Objective 0
#Constraints 309
#Linear Constraints 285
#Quadratic Constraints 24
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 1007
#Nonlinear Nonzeros in Jacobian 178
#Nonzeros in (Upper-Left) Hessian of Lagrangian 308
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 1
Minimal blocksize in Hessian of Lagrangian 155
Maximal blocksize in Hessian of Lagrangian 155
Average blocksize in Hessian of Lagrangian 155.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Infeasibility of initial point 2.155e+07
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
*        310      142       48      120        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        237      164       73        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1014      836      178        0
*
*  Solve m using MINLP maximizing 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,b73,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,objvar;

Positive Variables  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;

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,b73;

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;


e1..    x75 =E= 7791.10108432975;

e2..    x76 =E= 9249.06867273578;

e3..    x77 =E= 10096.0784145717;

e4..    x78 =E= 10051.6451166393;

e5..    x79 =E= 9637.86002964406;

e6..    x80 =E= 10330.741769277;

e7..    x81 =E= 11612.3647065139;

e8..    x82 =E= 11152.7577810259;

e9..    x83 =E= 11005.572481625;

e10..    x84 =E= 11165.2546460694;

e11..    x85 =E= 8811.67839621397;

e12..    x86 =E= 7295.54964171257;

e13..    x87 =E= 8264.56262094388;

e14..    x88 =E= 11772.1524347523;

e15..    x89 =E= 9638.4603939449;

e16..    x90 =E= 9595.2613887519;

e17..    x91 =E= 9200.54106679229;

e18..    x92 =E= 10682.8598724346;

e19..    x93 =E= 12008.4764043375;

e20..    x94 =E= 11533.2873472145;

e21..    x95 =E= 11380.8202700627;

e22..    x96 =E= 8881.20724409107;

e23..    x97 =E= 7010.09739171175;

e24..    x98 =E= 10282.2488966628;

e25..    x99 =E= 8735.60231062138;

e26..    x100 =E= 10369.3707213156;

e27..    x101 =E= 9988.09563923272;

e28..    x102 =E= 9943.12953618609;

e29..    x103 =E= 9534.68743351253;

e30..    x104 =E= 10218.5469173467;

e31..    x105 =E= 11486.9657407871;

e32..    x106 =E= 11031.6839474399;

e33..    x107 =E= 10886.4809063518;

e34..    x108 =E= 9387.61080479751;

e35..    x109 =E= 7409.10227074579;

e36..    x110 =E= 1118.55473503165;

e37..    x111 =E= 950.53653428635;

e38..    x112 =E= 1127.95435465377;

e39..    x113 =E= 923.51262787277;

e40..    x114 =E= 919.4002942881;

e41..    x115 =E= 881.80181579964;

e42..    x116 =E= 945.24924824891;

e43..    x117 =E= 1062.15701729896;

e44..    x118 =E= 1020.44620522583;

e45..    x119 =E= 1006.93425201904;

e46..    x120 =E= 1021.62115767859;

e47..    x121 =E= 806.01738259634;

e48..    x122 =E= 0;

e49..    x123 =E= 0;

e50..    x124 =E= 0;

e51..    x125 =E= 628.45542857142;

e52..    x126 =E= 628.45542857142;

e53..    x127 =E= 628.45542857142;

e54..    x128 =E= 628.45542857142;

e55..    x129 =E= 628.45542857142;

e56..    x130 =E= 628.45542857142;

e57..    x131 =E= 628.45542857142;

e58..    x132 =E= 0;

e59..    x133 =E= 0;

e60..    x134 =L= 6000;

e61..    x135 =L= 6000;

e62..    x136 =L= 6000;

e63..    x137 =L= 6000;

e64..    x138 =L= 6000;

e65..    x139 =L= 6000;

e66..    x140 =L= 6000;

e67..    x141 =L= 6000;

e68..    x142 =L= 6000;

e69..    x143 =L= 6000;

e70..    x144 =L= 6000;

e71..    x145 =L= 6000;

e72..    x146 =L= 20800;

e73..    x147 =L= 20800;

e74..    x148 =L= 20800;

e75..    x149 =L= 0;

e76..    x150 =L= 0;

e77..    x151 =L= 0;

e78..    x152 =L= 20800;

e79..    x153 =L= 20800;

e80..    x154 =L= 20800;

e81..    x155 =L= 20800;

e82..    x156 =L= 20800;

e83..    x157 =L= 20800;

e84..    x158 =L= 238;

e85..    x159 =L= 202;

e86..    x160 =L= 240;

e87..    x161 =L= 197;

e88..    x162 =L= 196;

e89..    x163 =L= 188;

e90..    x164 =L= 201;

e91..    x165 =L= 226;

e92..    x166 =L= 217;

e93..    x167 =L= 214;

e94..    x168 =L= 217;

e95..    x169 =L= 172;

e96..    x170 =L= 500;

e97..    x171 =L= 500;

e98..    x172 =L= 500;

e99..    x173 =L= 500;

e100..    x174 =L= 500;

e101..    x175 =L= 500;

e102..    x176 =L= 500;

e103..    x177 =L= 500;

e104..    x178 =L= 500;

e105..    x179 =L= 500;

e106..    x180 =L= 500;

e107..    x181 =L= 500;

e108..    x182 =L= 230000;

e109..    x183 =L= 230000;

e110..    x184 =L= 230000;

e111..    x185 =L= 230000;

e112..    x186 =L= 230000;

e113..    x187 =L= 230000;

e114..    x188 =L= 230000;

e115..    x189 =L= 230000;

e116..    x190 =L= 230000;

e117..    x191 =L= 230000;

e118..    x192 =L= 230000;

e119..    x193 =L= 230000;

e120..  - x74 - x86 - x98 - x110 - x122 - x134 - x146 - x158 - x170 + x182
        + x194 =E= 80000;

e121..  - x75 - x87 - x99 - x111 - x123 - x135 - x147 - x159 - x171 - x182
        + x183 + x195 =E= 0;

e122..  - x76 - x88 - x100 - x112 - x124 - x136 - x148 - x160 - x172 - x183
        + x184 + x196 =E= 0;

e123..  - x77 - x89 - x101 - x113 - x125 - x137 - x149 - x161 - x173 - x184
        + x185 + x197 =E= 0;

e124..  - x78 - x90 - x102 - x114 - x126 - x138 - x150 - x162 - x174 - x185
        + x186 + x198 =E= 0;

e125..  - x79 - x91 - x103 - x115 - x127 - x139 - x151 - x163 - x175 - x186
        + x187 + x199 =E= 0;

e126..  - x80 - x92 - x104 - x116 - x128 - x140 - x152 - x164 - x176 - x187
        + x188 + x200 =E= 0;

e127..  - x81 - x93 - x105 - x117 - x129 - x141 - x153 - x165 - x177 - x188
        + x189 + x201 =E= 0;

e128..  - x82 - x94 - x106 - x118 - x130 - x142 - x154 - x166 - x178 - x189
        + x190 + x202 =E= 0;

e129..  - x83 - x95 - x107 - x119 - x131 - x143 - x155 - x167 - x179 - x190
        + x191 + x203 =E= 0;

e130..  - x84 - x96 - x108 - x120 - x132 - x144 - x156 - x168 - x180 - x191
        + x192 + x204 =E= 0;

e131..  - x85 - x97 - x109 - x121 - x133 - x145 - x157 - x169 - x181 - x192
        + x193 + x205 =E= 0;

e132.. 0.018*x218*x206 - 0.3*x194*x218 =E= -49104;

e133.. 0.018*x219*x207 - 0.3*x195*x219 =E= -44352;

e134.. 0.018*x220*x208 - 0.3*x196*x220 =E= -49104;

e135.. 0.018*x221*x209 - 0.3*x197*x221 =E= -47520;

e136.. 0.018*x222*x210 - 0.3*x198*x222 =E= -28512;

e137.. 0.018*x223*x211 - 0.3*x199*x223 =E= -47520;

e138.. 0.018*x224*x212 - 0.3*x200*x224 =E= -49104;

e139.. 0.018*x225*x213 - 0.3*x201*x225 =E= -49104;

e140.. 0.018*x226*x214 - 0.3*x202*x226 =E= -45936;

e141.. 0.018*x227*x215 - 0.3*x203*x227 + 14360*b73 =E= -34744;

e142.. 0.018*x228*x216 - 0.3*x204*x228 + 47520*b73 =E= 0;

e143.. 0.018*x229*x217 - 0.3*x205*x229 + 49104*b73 =E= 0;

e144..    10000000000*b49 + x182 =G= 120000;

e145..    10000000000*b50 + x183 =G= 120000;

e146..    10000000000*b51 + x184 =G= 120000;

e147..    10000000000*b52 + x185 =G= 120000;

e148..    10000000000*b53 + x186 =G= 120000;

e149..    10000000000*b54 + x187 =G= 120000;

e150..    10000000000*b55 + x188 =G= 120000;

e151..    10000000000*b56 + x189 =G= 120000;

e152..    10000000000*b57 + x190 =G= 120000;

e153..    10000000000*b58 + x191 =G= 120000;

e154..    10000000000*b59 + x192 =G= 120000;

e155..    10000000000*b60 + x193 =G= 120000;

e156..    b49 + b61 =E= 1;

e157..    b50 + b62 =E= 1;

e158..    b51 + b63 =E= 1;

e159..    b52 + b64 =E= 1;

e160..    b53 + b65 =E= 1;

e161..    b54 + b66 =E= 1;

e162..    b55 + b67 =E= 1;

e163..    b56 + b68 =E= 1;

e164..    b57 + b69 =E= 1;

e165..    b58 + b70 =E= 1;

e166..    b59 + b71 =E= 1;

e167..    b60 + b72 =E= 1;

e168..    10000000000*b49 + x182 =L= 10000120000;

e169..    10000000000*b50 + x183 =L= 10000120000;

e170..    10000000000*b51 + x184 =L= 10000120000;

e171..    10000000000*b52 + x185 =L= 10000120000;

e172..    10000000000*b53 + x186 =L= 10000120000;

e173..    10000000000*b54 + x187 =L= 10000120000;

e174..    10000000000*b55 + x188 =L= 10000120000;

e175..    10000000000*b56 + x189 =L= 10000120000;

e176..    10000000000*b57 + x190 =L= 10000120000;

e177..    10000000000*b58 + x191 =L= 10000120000;

e178..    10000000000*b59 + x192 =L= 10000120000;

e179..    10000000000*b60 + x193 =L= 10000120000;

e180..    10000000000*b25 + x182 =G= 180000;

e181..    10000000000*b26 + x183 =G= 180000;

e182..    10000000000*b27 + x184 =G= 180000;

e183..    10000000000*b28 + x185 =G= 180000;

e184..    10000000000*b29 + x186 =G= 180000;

e185..    10000000000*b30 + x187 =G= 180000;

e186..    10000000000*b31 + x188 =G= 180000;

e187..    10000000000*b32 + x189 =G= 180000;

e188..    10000000000*b33 + x190 =G= 180000;

e189..    10000000000*b34 + x191 =G= 180000;

e190..    10000000000*b35 + x192 =G= 180000;

e191..    10000000000*b36 + x193 =G= 180000;

e192..    b25 + b37 =E= 1;

e193..    b26 + b38 =E= 1;

e194..    b27 + b39 =E= 1;

e195..    b28 + b40 =E= 1;

e196..    b29 + b41 =E= 1;

e197..    b30 + b42 =E= 1;

e198..    b31 + b43 =E= 1;

e199..    b32 + b44 =E= 1;

e200..    b33 + b45 =E= 1;

e201..    b34 + b46 =E= 1;

e202..    b35 + b47 =E= 1;

e203..    b36 + b48 =E= 1;

e204..    10000000000*b25 + x182 =L= 10000180000;

e205..    10000000000*b26 + x183 =L= 10000180000;

e206..    10000000000*b27 + x184 =L= 10000180000;

e207..    10000000000*b28 + x185 =L= 10000180000;

e208..    10000000000*b29 + x186 =L= 10000180000;

e209..    10000000000*b30 + x187 =L= 10000180000;

e210..    10000000000*b31 + x188 =L= 10000180000;

e211..    10000000000*b32 + x189 =L= 10000180000;

e212..    10000000000*b33 + x190 =L= 10000180000;

e213..    10000000000*b34 + x191 =L= 10000180000;

e214..    10000000000*b35 + x192 =L= 10000180000;

e215..    10000000000*b36 + x193 =L= 10000180000;

e216..    100000000*b1 - x182 =G= -50000;

e217..    100000000*b2 - x183 =G= -50000;

e218..    100000000*b3 - x184 =G= -50000;

e219..    100000000*b4 - x185 =G= -50000;

e220..    100000000*b5 - x186 =G= -50000;

e221..    100000000*b6 - x187 =G= -50000;

e222..    100000000*b7 - x188 =G= -50000;

e223..    100000000*b8 - x189 =G= -50000;

e224..    100000000*b9 - x190 =G= -50000;

e225..    100000000*b10 - x191 =G= -50000;

e226..    100000000*b11 - x192 =G= -50000;

e227..    100000000*b12 - x193 =G= -50000;

e228..    b1 + b13 =E= 1;

e229..    b2 + b14 =E= 1;

e230..    b3 + b15 =E= 1;

e231..    b4 + b16 =E= 1;

e232..    b5 + b17 =E= 1;

e233..    b6 + b18 =E= 1;

e234..    b7 + b19 =E= 1;

e235..    b8 + b20 =E= 1;

e236..    b9 + b21 =E= 1;

e237..    b10 + b22 =E= 1;

e238..    b11 + b23 =E= 1;

e239..    b12 + b24 =E= 1;

e240..    100000000*b1 - x182 =L= 99950000;

e241..    100000000*b2 - x183 =L= 99950000;

e242..    100000000*b3 - x184 =L= 99950000;

e243..    100000000*b4 - x185 =L= 99950000;

e244..    100000000*b5 - x186 =L= 99950000;

e245..    100000000*b6 - x187 =L= 99950000;

e246..    100000000*b7 - x188 =L= 99950000;

e247..    100000000*b8 - x189 =L= 99950000;

e248..    100000000*b9 - x190 =L= 99950000;

e249..    100000000*b10 - x191 =L= 99950000;

e250..    100000000*b11 - x192 =L= 99950000;

e251..    100000000*b12 - x193 =L= 99950000;

e252..    x193 =E= 50000;

e253..  - 100000000*b13 + x206 =L= 0;

e254..  - 100000000*b14 + x207 =L= 0;

e255..  - 100000000*b15 + x208 =L= 0;

e256..  - 100000000*b16 + x209 =L= 0;

e257..  - 100000000*b17 + x210 =L= 0;

e258..  - 100000000*b18 + x211 =L= 0;

e259..  - 100000000*b19 + x212 =L= 0;

e260..  - 100000000*b20 + x213 =L= 0;

e261..  - 100000000*b21 + x214 =L= 0;

e262..  - 100000000*b22 + x215 =L= 0;

e263..  - 100000000*b23 + x216 =L= 0;

e264..  - 100000000*b24 + x217 =L= 0;

e265..  - x194 + x206 =L= 0;

e266..  - x195 + x207 =L= 0;

e267..  - x196 + x208 =L= 0;

e268..  - x197 + x209 =L= 0;

e269..  - x198 + x210 =L= 0;

e270..  - x199 + x211 =L= 0;

e271..  - x200 + x212 =L= 0;

e272..  - x201 + x213 =L= 0;

e273..  - x202 + x214 =L= 0;

e274..  - x203 + x215 =L= 0;

e275..  - x204 + x216 =L= 0;

e276..  - x205 + x217 =L= 0;

e277..  - 100000000*b13 - x194 + x206 =G= -100000000;

e278..  - 100000000*b14 - x195 + x207 =G= -100000000;

e279..  - 100000000*b15 - x196 + x208 =G= -100000000;

e280..  - 100000000*b16 - x197 + x209 =G= -100000000;

e281..  - 100000000*b17 - x198 + x210 =G= -100000000;

e282..  - 100000000*b18 - x199 + x211 =G= -100000000;

e283..  - 100000000*b19 - x200 + x212 =G= -100000000;

e284..  - 100000000*b20 - x201 + x213 =G= -100000000;

e285..  - 100000000*b21 - x202 + x214 =G= -100000000;

e286..  - 100000000*b22 - x203 + x215 =G= -100000000;

e287..  - 100000000*b23 - x204 + x216 =G= -100000000;

e288..  - 100000000*b24 - x205 + x217 =G= -100000000;

e289.. (x75 + x87 + x99 + x111 + x123 + x135 + x147 + x159 + x171 + x182)*x219
        - x182*x218 - 3.45306900938*x75 - 2.89465224642*x87 - 3.3907445128*x99
        - 2.92984041218*x111 - 1.99104678785*x123 - 3.20721402214*x135 - 
       3.23089372607*x147 - 2.72277689967*x159 - 3.98576673328*x171 =E= 0;

e290.. (x76 + x88 + x100 + x112 + x124 + x136 + x148 + x160 + x172 + x183)*x220
        - x183*x219 - 3.71204918508*x76 - 3.13873771232*x88 - 3.84462369955*
       x100 - 2.92984041218*x112 - 3.72025957148*x124 - 3.19346390844*x136 - 
       3.32339415853*x148 - 4.17259954891*x160 - 3.98576673328*x172 =E= 0;

e291.. (x77 + x89 + x101 + x113 + x125 + x137 + x149 + x161 + x173 + x184)*x221
        - x184*x220 - 3.30072772955*x77 - 3.25387105584*x89 - 3.76719725005*
       x101 - 2.92984041218*x113 - 4.04067067003*x125 - 3.00611860918*x137 - 
       2.70045260066*x149 - 4.33701242665*x161 - 3.98576673328*x173 =E= 0;

e292.. (x78 + x90 + x102 + x114 + x126 + x138 + x150 + x162 + x174 + x185)*x222
        - x185*x221 - 3.30072772955*x78 - 3.30782679041*x90 - 3.47084083987*
       x102 - 2.92984041218*x114 - 3.19872785585*x126 - 2.99064973126*x138 - 
       3.22433875168*x150 - 3.29323976337*x162 - 3.98576673328*x174 =E= 0;

e293.. (x79 + x91 + x103 + x115 + x127 + x139 + x151 + x163 + x175 + x186)*x223
        - x186*x222 - 4.12337064061*x79 - 3.18484660261*x91 - 2.91550630549*
       x103 - 2.92984041218*x115 - 3.6817655639*x127 - 2.97861838176*x139 - 
       3.69558826155*x151 - 3.67853054759*x163 - 3.98576673328*x175 =E= 0;

e294.. (x80 + x92 + x104 + x116 + x128 + x140 + x152 + x164 + x176 + x187)*x224
        - x187*x223 - 3.2626424096*x80 - 3.26650933601*x92 - 3.36226581873*x104
        - 2.92984041218*x116 - 4.39438760391*x128 - 3.17111997366*x140 - 
       3.78307381649*x152 - 3.57473453891*x164 - 3.98576673328*x176 =E= 0;

e295.. (x81 + x93 + x105 + x117 + x129 + x141 + x153 + x165 + x177 + x188)*x225
        - x188*x224 - 3.76452229258*x81 - 3.09556849526*x93 - 3.34535659412*
       x105 - 2.92984041218*x117 - 4.20801589981*x129 - 3.41862202039*x141 - 
       3.9128590882*x153 - 3.53653760772*x165 - 3.98576673328*x177 =E= 0;

e296.. (x82 + x94 + x106 + x118 + x130 + x142 + x154 + x166 + x178 + x189)*x226
        - x189*x225 - 3.41752271075*x82 - 3.15592438453*x94 - 3.56695643236*
       x106 - 2.92984041218*x118 - 3.98773617096*x130 - 3.44870039412*x142 - 
       3.74366715891*x154 - 4.09537531845*x166 - 3.98576673328*x178 =E= 0;

e297.. (x83 + x95 + x107 + x119 + x131 + x143 + x155 + x167 + x179 + x190)*x227
        - x190*x226 - 3.3794373908*x83 - 3.43664003059*x95 - 3.52423839126*x107
        - 2.92984041218*x119 - 4.46282139516*x131 - 3.24158930641*x143 - 
       3.47930953913*x155 - 3.66989471967*x167 - 3.98576673328*x179 =E= 0;

e298.. (x84 + x96 + x108 + x120 + x132 + x144 + x156 + x168 + x180 + x191)*x228
        - x191*x227 - 3.30072772955*x84 - 3.17901355022*x96 - 3.47084083987*
       x108 - 2.92984041218*x120 - 3.97357497622*x132 - 3.09635373038*x144 - 
       3.55421340859*x156 - 3.93594464912*x168 - 3.98576673328*x180 =E= 0;

e299.. (x85 + x97 + x109 + x121 + x133 + x145 + x157 + x169 + x181 + x192)*x229
        - x192*x228 - 3.30072772955*x85 - 3.15957004227*x97 - 3.43025870082*
       x109 - 2.92984041218*x121 - 3.7252265402*x133 - 3.85175060216*x145 - 
       3.19457562475*x157 - 3.68683422829*x169 - 3.98576673328*x181 =E= 0;

e300.. (80000 + x74 + x86 + x98 + x110 + x122 + x134 + x146 + x158 + x170)*x218
        - 3.63080050251*x74 - 2.86305654599*x86 - 3.41744328849*x98 - 
       2.92984041218*x110 - 3.48432855727*x122 - 3.23041733902*x134 - 
       3.6417311747*x146 - 4.28469923828*x158 - 3.98576673328*x170 =E= 260000;

e301..    b73 =E= 1;

e302..    x236 =E= 21546900;

e303..  - 4716820*b73 + x235 =E= 0;

e304..  - 15.6863186*x74 - 15.6863186*x75 - 15.6863186*x76 - 15.6863186*x77
        - 15.6863186*x78 - 15.6863186*x79 - 15.6863186*x80 - 15.6863186*x81
        - 15.6863186*x82 - 15.6863186*x83 - 15.6863186*x84 - 15.6863186*x85
        - 2.1*x86 - 2.1*x87 - 2.1*x88 - 2.1*x89 - 2.1*x90 - 2.1*x91 - 2.1*x92
        - 2.1*x93 - 2.1*x94 - 2.1*x95 - 2.1*x96 - 2.1*x97 - 14.2418893*x98
        - 14.2418893*x99 - 14.2418893*x100 - 14.2418893*x101 - 14.2418893*x102
        - 14.2418893*x103 - 14.2418893*x104 - 14.2418893*x105 - 14.2418893*x106
        - 14.2418893*x107 - 14.2418893*x108 - 14.2418893*x109 - 2.1*x110
        - 2.1*x111 - 2.1*x112 - 2.1*x113 - 2.1*x114 - 2.1*x115 - 2.1*x116
        - 2.1*x117 - 2.1*x118 - 2.1*x119 - 2.1*x120 - 2.1*x121 - 24.630475*x122
        - 24.630475*x123 - 24.630475*x124 - 24.630475*x125 - 24.630475*x126
        - 24.630475*x127 - 24.630475*x128 - 24.630475*x129 - 24.630475*x130
        - 24.630475*x131 - 24.630475*x132 - 24.630475*x133 - 23.7441195*x134
        - 23.707386*x135 - 23.685618*x136 - 23.389029*x137 - 23.36454*x138
        - 23.345493*x139 - 23.650245*x140 - 24.042069*x141 - 24.0896865*x142
        - 23.761806*x143 - 23.5318815*x144 - 24.727761*x145
        - 60.18757142857*x146 - 54.63853571428*x147 - 55.88790625*x148
        - 47.47405555555*x149 - 54.55*x150 - 60.915*x151 - 62.09663636363*x152
        - 63.8496*x153 - 61.56438461538*x154 - 57.9938*x155 - 59.0055*x156
        - 54.148*x157 - 15*x158 - 15*x159 - 15*x160 - 15*x161 - 15*x162
        - 15*x163 - 15*x164 - 15*x165 - 15*x166 - 15*x167 - 15*x168 - 15*x169
        - 42*x170 - 42*x171 - 42*x172 - 42*x173 - 42*x174 - 42*x175 - 42*x176
        - 42*x177 - 42*x178 - 42*x179 - 42*x180 - 42*x181 + x234 =E= 0;

e305..  - 2.1*x74 - 2.1*x75 - 2.1*x76 - 2.1*x77 - 2.1*x78 - 2.1*x79 - 2.1*x80
        - 2.1*x81 - 2.1*x82 - 2.1*x83 - 2.1*x84 - 2.1*x85 - 2.1*x86 - 2.1*x87
        - 2.1*x88 - 2.1*x89 - 2.1*x90 - 2.1*x91 - 2.1*x92 - 2.1*x93 - 2.1*x94
        - 2.1*x95 - 2.1*x96 - 2.1*x97 - 2.1*x98 - 2.1*x99 - 2.1*x100 - 2.1*x101
        - 2.1*x102 - 2.1*x103 - 2.1*x104 - 2.1*x105 - 2.1*x106 - 2.1*x107
        - 2.1*x108 - 2.1*x109 - 2.1*x110 - 2.1*x111 - 2.1*x112 - 2.1*x113
        - 2.1*x114 - 2.1*x115 - 2.1*x116 - 2.1*x117 - 2.1*x118 - 2.1*x119
        - 2.1*x120 - 2.1*x121 - 18.63*x122 - 18.63*x123 - 18.63*x124
        - 18.63*x125 - 18.63*x126 - 18.63*x127 - 18.63*x128 - 18.63*x129
        - 18.63*x130 - 18.63*x131 - 18.63*x132 - 18.63*x133 - 18.63*x134
        - 18.63*x135 - 18.63*x136 - 18.63*x137 - 18.63*x138 - 18.63*x139
        - 18.63*x140 - 18.63*x141 - 18.63*x142 - 18.63*x143 - 18.63*x144
        - 18.63*x145 - 11*x146 - 11*x147 - 11*x148 - 11*x149 - 11*x150
        - 11*x151 - 11*x152 - 11*x153 - 11*x154 - 11*x155 - 11*x156 - 11*x157
        - 15*x158 - 15*x159 - 15*x160 - 15*x161 - 15*x162 - 15*x163 - 15*x164
        - 15*x165 - 15*x166 - 15*x167 - 15*x168 - 15*x169 - 30*x170 - 30*x171
        - 30*x172 - 30*x173 - 30*x174 - 30*x175 - 30*x176 - 30*x177 - 30*x178
        - 30*x179 - 30*x180 - 30*x181 + x233 =E= 0;

e306..  - 0.580146*x194 - 0.580146*x195 - 0.580146*x196 - 0.580146*x197
        - 0.580146*x198 - 0.580146*x199 - 0.580146*x200 - 0.580146*x201
        - 0.580146*x202 - 0.580146*x203 - 0.580146*x204 - 0.580146*x205 + x232
        =E= 0;

e307..  - 329622.48*b73 + x231 =E= 1321650;

e308..    x74 =E= 9171.31040135413;

e309..  - 150000*b37 - 150000*b38 - 150000*b39 - 150000*b40 - 150000*b41
        - 150000*b42 - 150000*b43 - 150000*b44 - 150000*b45 - 150000*b46
        - 150000*b47 - 150000*b48 - 150000*b61 - 150000*b62 - 150000*b63
        - 150000*b64 - 150000*b65 - 150000*b66 - 150000*b67 - 150000*b68
        - 150000*b69 - 150000*b70 - 150000*b71 - 150000*b72 + x230 =E= 0;

e310..    x230 + x231 + x232 + x234 - x235 - x236 + objvar =E= 0;

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% maximizing objvar;


Last updated: 2018-09-14 Git hash: ac5a5314
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