MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance rsyn0840m

Redesign of existing plants to increase throughput, reduce energy consumption, improve yields, and reduce waste generation. Given limited capital investments to make process improvements and cost estimations over a given time horizon, the problem is to identify the modifications that yield the highest economic improvement which is defined as the income from product sales minus the cost of raw materials, energy, and process modifications.
Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
325.55450700 p1 ( gdx sol )
(infeas: 1e-14)
Other points (infeas > 1e-08)  
Dual Bounds
325.63902000 (ALPHAECP)
325.55468010 (ANTIGONE)
325.55450870 (BARON)
876.58138000 (BONMIN)
1610.32142800 (COUENNE)
325.55450960 (LINDO)
325.55462900 (SCIP)
325.55474380 (SHOT)
References Sawaya, Nicolas W, Reformulations, relaxations and cutting planes for generalized disjunctive programming, PhD thesis, Carnegie Mellon University, 2006.
Source RSyn0840M.gms from CMU-IBM MINLP solver project page
Application Retrofit Planning
Added to library 28 Sep 2013
Problem type MBNLP
#Variables 280
#Binary Variables 104
#Integer Variables 0
#Nonlinear Variables 28
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 101
#Nonlinear Nonzeros in Objective 0
#Constraints 484
#Linear Constraints 456
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 28
Operands in Gen. Nonlin. Functions log
Constraints curvature convex
#Nonzeros in Jacobian 1189
#Nonlinear Nonzeros in Jacobian 28
#Nonzeros in (Upper-Left) Hessian of Lagrangian 28
#Nonzeros in Diagonal of Hessian of Lagrangian 28
#Blocks in Hessian of Lagrangian 28
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 2.0000e-01
Maximal coefficient 3.5000e+02
Infeasibility of initial point 1.4
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
*        485       90      150      245        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        281      177      104        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1291     1263       28        0
*
*  Solve m using MINLP maximizing objvar;


Variables  objvar,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,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102
          ,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115
          ,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128
          ,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141
          ,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,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,b242,b243,b244,b245
          ,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258
          ,b259,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271
          ,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281;

Positive Variables  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,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;

Binary Variables  b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101
          ,b102,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114
          ,b115,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127
          ,b128,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140
          ,b141,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b242,b243
          ,b244,b245,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256
          ,b257,b258,b259,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269
          ,b270,b271,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281;

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
          ,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
          ,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
          ,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
          ,e481,e482,e483,e484,e485;


e1..    objvar + 10*x2 + 15*x7 + 18*x11 + 19*x23 - 35*x27 - 28*x29 + 16*x30
      - 2*x33 - 3*x34 - 5*x35 - 4*x36 + 6*b89 + 40*b90 + 46*b91 + 7*b93
      + 30*b94 + 37*b95 + 7*b97 + 15*b98 + 22*b99 + 11*b101 + 13*b102 + 24*b103
      + 10*b105 + 13*b106 + 23*b107 + 9*b109 + 30*b110 + 39*b111 + 8*b113
      + 20*b114 + 28*b115 + 8*b117 + 15*b118 + 23*b119 + x152 - 5*x158 + 2*x163
      + 10*x180 + 5*x181 - 40*x188 - 15*x189 - 10*x190 - 30*x191 - 35*x192
      - 20*x193 - 25*x194 - 15*x195 - 30*x203 + x208 + 5*x225 + x226 - 120*x233
      - 140*x234 - 90*x235 - 80*x236 - 285*x237 - 290*x238 - 280*x239
      - 290*x240 - 350*x241 + 5*b242 + 8*b243 + 6*b244 + 10*b245 + 6*b246
      + 7*b247 + 4*b248 + 5*b249 + 2*b250 + 4*b251 + 3*b252 + 7*b253 + 3*b254
      + 2*b255 + 4*b256 + 2*b257 + 3*b258 + 5*b259 + 2*b260 + b261 + 2*b262
      + 9*b263 + 5*b264 + 2*b265 + 10*b266 + 4*b267 + 7*b268 + 4*b269 + 2*b270
      + 8*b271 + 9*b272 + 3*b273 + 5*b274 + 5*b275 + 6*b276 + 2*b277 + 6*b278
      + 3*b279 + 5*b280 + 9*b281 =E= 0;

e2..    x2 - 0.2*x37 =E= 0;

e3..    x3 - 0.2*x38 =E= 0;

e4..    x4 - 0.2*x39 =E= 0;

e5..    x5 - 0.2*x40 =E= 0;

e6..    x6 - 0.2*x41 =E= 0;

e7..    x7 - 0.5*x42 =E= 0;

e8..    x8 - 0.5*x43 =E= 0;

e9..    x9 - 0.7*x44 =E= 0;

e10..    x10 - 0.7*x45 =E= 0;

e11..    x11 - 1.2*x46 =E= 0;

e12..    x12 - 1.2*x47 =E= 0;

e13..    x13 - 0.5*x48 =E= 0;

e14..    x14 - 0.7*x49 =E= 0;

e15..    x15 - 1.2*x50 =E= 0;

e16..    x16 - 1.2*x51 =E= 0;

e17..    x17 - 1.2*x52 =E= 0;

e18..    x18 - 1.2*x53 =E= 0;

e19..    x19 - 0.3*x54 =E= 0;

e20..    x20 - 0.9*x55 =E= 0;

e21..    x21 - 0.3*x56 =E= 0;

e22..    x22 - 0.9*x57 =E= 0;

e23..    x23 - 0.4*x58 =E= 0;

e24..    x24 - 0.4*x59 =E= 0;

e25..    x25 - 0.4*x60 =E= 0;

e26..    x26 - 1.6*x61 =E= 0;

e27..    x27 - 1.6*x62 =E= 0;

e28..    x28 - 1.1*x63 =E= 0;

e29..    x29 - 1.1*x64 =E= 0;

e30..    x30 - 0.7*x65 =E= 0;

e31..    x31 - 0.7*x66 =E= 0;

e32..    x32 - 0.7*x67 =E= 0;

e33..    x33 - 0.2*x68 =E= 0;

e34..    x34 - 0.7*x69 =E= 0;

e35..    x35 - 0.3*x70 =E= 0;

e36..    x36 - 0.9*x71 =E= 0;

e37..    x27 =G= 1.2;

e38..    x29 =G= 1.2;

e39..    x33 =G= 1.1;

e40..    x34 =G= 1.1;

e41..    x35 =G= 1.4;

e42..    x36 =G= 1.3;

e43..    x2 =L= 35;

e44..    x7 =L= 36;

e45..    x11 =L= 25;

e46..    x23 =L= 24;

e47..    x30 =L= 30;

e48..    x2 - x3 - x4 =E= 0;

e49..    x5 - x6 =E= 0;

e50..    x7 - x8 + x13 =E= 0;

e51..    x9 - x10 + x14 =E= 0;

e52..    x11 - x12 - x15 =E= 0;

e53..    x16 - x17 - x18 =E= 0;

e54..    x19 - x21 =E= 0;

e55..    x20 - x22 =E= 0;

e56..    x23 - x24 - x25 =E= 0;

e57..    x26 - x27 =E= 0;

e58..    x28 - x29 =E= 0;

e59..    x30 - x31 =E= 0;

e60..    x3 - x5 - x72 =E= 0;

e61..    x4 + x8 - x9 - x73 =E= 0;

e62..    x12 - x13 - x14 - x74 =E= 0;

e63..    x15 - x16 - x75 =E= 0;

e64..    x18 - x19 - x20 - x76 =E= 0;

e65..    x17 + x24 - x26 - x77 =E= 0;

e66..    x25 - x28 + x32 - x78 =E= 0;

e67..    x31 - x32 - x79 =E= 0;

e68..    x39 - x43 =L= 0;

e69..    x52 - x59 =L= 0;

e70..    x60 - x67 =L= 0;

e71..  - 0.8*x38 + x40 + 148.75*b88 =L= 148.75;

e72..  - 0.85*x38 + x40 + 148.75*b89 =L= 148.75;

e73..  - 0.8*x38 + x40 + 148.75*b90 =L= 148.75;

e74..  - 0.85*x38 + x40 + 148.75*b91 =L= 148.75;

e75..  - 0.8*x38 + x40 - 148.75*b88 =G= -148.75;

e76..  - 0.85*x38 + x40 - 148.75*b89 =G= -148.75;

e77..  - 0.8*x38 + x40 - 148.75*b90 =G= -148.75;

e78..  - 0.85*x38 + x40 - 148.75*b91 =G= -148.75;

e79..  - 0.9*x39 + x44 + 254.045833333333*b92 =L= 254.045833333333;

e80..  - 0.95*x39 + x44 + 254.045833333333*b93 =L= 254.045833333333;

e81..  - 0.9*x39 + x44 + 254.045833333333*b94 =L= 254.045833333333;

e82..  - 0.95*x39 + x44 + 254.045833333333*b95 =L= 254.045833333333;

e83..  - 0.9*x39 + x44 - 166.25*b92 =G= -166.25;

e84..  - 0.95*x39 + x44 - 166.25*b93 =G= -166.25;

e85..  - 0.9*x39 + x44 - 166.25*b94 =G= -166.25;

e86..  - 0.95*x39 + x44 - 166.25*b95 =G= -166.25;

e87..  - 0.85*x47 + x48 + 20.4166666666667*b96 =L= 20.4166666666667;

e88..  - 0.98*x47 + x48 + 20.4166666666667*b97 =L= 20.4166666666667;

e89..  - 0.85*x47 + x48 + 20.4166666666667*b98 =L= 20.4166666666667;

e90..  - 0.98*x47 + x48 + 20.4166666666667*b99 =L= 20.4166666666667;

e91..  - 0.85*x47 + x49 + 20.4166666666667*b96 =L= 20.4166666666667;

e92..  - 0.98*x47 + x49 + 20.4166666666667*b97 =L= 20.4166666666667;

e93..  - 0.85*x47 + x49 + 20.4166666666667*b98 =L= 20.4166666666667;

e94..  - 0.98*x47 + x49 + 20.4166666666667*b99 =L= 20.4166666666667;

e95..  - 0.85*x47 + x48 - 20.4166666666667*b96 =G= -20.4166666666667;

e96..  - 0.98*x47 + x48 - 20.4166666666667*b97 =G= -20.4166666666667;

e97..  - 0.85*x47 + x48 - 20.4166666666667*b98 =G= -20.4166666666667;

e98..  - 0.98*x47 + x48 - 20.4166666666667*b99 =G= -20.4166666666667;

e99..  - 0.85*x47 + x49 - 20.4166666666667*b96 =G= -20.4166666666667;

e100..  - 0.98*x47 + x49 - 20.4166666666667*b97 =G= -20.4166666666667;

e101..  - 0.85*x47 + x49 - 20.4166666666667*b98 =G= -20.4166666666667;

e102..  - 0.98*x47 + x49 - 20.4166666666667*b99 =G= -20.4166666666667;

e103..  - 0.85*x50 + x51 + 18.75*b100 =L= 18.75;

e104..  - 0.9*x50 + x51 + 18.75*b101 =L= 18.75;

e105..  - 0.85*x50 + x51 + 18.75*b102 =L= 18.75;

e106..  - 0.9*x50 + x51 + 18.75*b103 =L= 18.75;

e107..  - 0.85*x50 + x51 - 18.75*b100 =G= -18.75;

e108..  - 0.9*x50 + x51 - 18.75*b101 =G= -18.75;

e109..  - 0.85*x50 + x51 - 18.75*b102 =G= -18.75;

e110..  - 0.9*x50 + x51 - 18.75*b103 =G= -18.75;

e111..  - 0.75*x53 + x54 + 17.8125*b104 =L= 17.8125;

e112..  - 0.95*x53 + x54 + 17.8125*b105 =L= 17.8125;

e113..  - 0.9*x53 + x54 + 17.8125*b106 =L= 17.8125;

e114..  - 0.95*x53 + x54 + 17.8125*b107 =L= 17.8125;

e115..  - 0.75*x53 + x55 + 17.8125*b104 =L= 17.8125;

e116..  - 0.95*x53 + x55 + 17.8125*b105 =L= 17.8125;

e117..  - 0.9*x53 + x55 + 17.8125*b106 =L= 17.8125;

e118..  - 0.95*x53 + x55 + 17.8125*b107 =L= 17.8125;

e119..  - 0.75*x53 + x54 - 17.8125*b104 =G= -17.8125;

e120..  - 0.95*x53 + x54 - 17.8125*b105 =G= -17.8125;

e121..  - 0.9*x53 + x54 - 17.8125*b106 =G= -17.8125;

e122..  - 0.95*x53 + x54 - 17.8125*b107 =G= -17.8125;

e123..  - 0.75*x53 + x55 - 17.8125*b104 =G= -17.8125;

e124..  - 0.95*x53 + x55 - 17.8125*b105 =G= -17.8125;

e125..  - 0.9*x53 + x55 - 17.8125*b106 =G= -17.8125;

e126..  - 0.95*x53 + x55 - 17.8125*b107 =G= -17.8125;

e127..  - 0.8*x52 + x61 + 66.9375*b108 =L= 66.9375;

e128..  - 0.85*x52 + x61 + 66.9375*b109 =L= 66.9375;

e129..  - 0.8*x52 + x61 + 66.9375*b110 =L= 66.9375;

e130..  - 0.85*x52 + x61 + 66.9375*b111 =L= 66.9375;

e131..  - 0.8*x52 + x61 - 15.9375*b108 =G= -15.9375;

e132..  - 0.85*x52 + x61 - 15.9375*b109 =G= -15.9375;

e133..  - 0.8*x52 + x61 - 15.9375*b110 =G= -15.9375;

e134..  - 0.85*x52 + x61 - 15.9375*b111 =G= -15.9375;

e135..  - 0.85*x60 + x63 + 94.4571428571429*b112 =L= 94.4571428571429;

e136..  - 0.95*x60 + x63 + 94.4571428571429*b113 =L= 94.4571428571429;

e137..  - 0.85*x60 + x63 + 94.4571428571429*b114 =L= 94.4571428571429;

e138..  - 0.95*x60 + x63 + 94.4571428571429*b115 =L= 94.4571428571429;

e139..  - 0.85*x60 + x63 - 57*b112 =G= -57;

e140..  - 0.95*x60 + x63 - 57*b113 =G= -57;

e141..  - 0.85*x60 + x63 - 57*b114 =G= -57;

e142..  - 0.95*x60 + x63 - 57*b115 =G= -57;

e143..  - 0.8*x66 + x67 + 39.4285714285714*b116 =L= 39.4285714285714;

e144..  - 0.92*x66 + x67 + 39.4285714285714*b117 =L= 39.4285714285714;

e145..  - 0.8*x66 + x67 + 39.4285714285714*b118 =L= 39.4285714285714;

e146..  - 0.92*x66 + x67 + 39.4285714285714*b119 =L= 39.4285714285714;

e147..  - 0.8*x66 + x67 - 39.4285714285714*b116 =G= -39.4285714285714;

e148..  - 0.92*x66 + x67 - 39.4285714285714*b117 =G= -39.4285714285714;

e149..  - 0.8*x66 + x67 - 39.4285714285714*b118 =G= -39.4285714285714;

e150..  - 0.92*x66 + x67 - 39.4285714285714*b119 =G= -39.4285714285714;

e151..    x3 + 25*b88 =L= 35;

e152..    x3 + 25*b89 =L= 35;

e153..    x3 - 15*b90 =L= 35;

e154..    x3 - 15*b91 =L= 35;

e155..    x4 + x8 + 56*b92 =L= 96;

e156..    x4 + x8 + 56*b93 =L= 96;

e157..    x4 + x8 + 36*b94 =L= 96;

e158..    x4 + x8 + 36*b95 =L= 96;

e159..    x12 + 10*b96 =L= 25;

e160..    x12 + 10*b97 =L= 25;

e161..    x12 =L= 25;

e162..    x12 =L= 25;

e163..    x15 + 10*b100 =L= 25;

e164..    x15 + 10*b101 =L= 25;

e165..    x15 + 5*b102 =L= 25;

e166..    x15 + 5*b103 =L= 25;

e167..    x18 + 15*b104 =L= 25;

e168..    x18 + 15*b105 =L= 25;

e169..    x18 + 5*b106 =L= 25;

e170..    x18 + 5*b107 =L= 25;

e171..    x17 + x24 + 29*b108 =L= 49;

e172..    x17 + x24 + 29*b109 =L= 49;

e173..    x17 + x24 - 6*b110 =L= 49;

e174..    x17 + x24 - 6*b111 =L= 49;

e175..    x25 + x32 + 29*b112 =L= 54;

e176..    x25 + x32 + 29*b113 =L= 54;

e177..    x25 + x32 + 4*b114 =L= 54;

e178..    x25 + x32 + 4*b115 =L= 54;

e179..    x31 + 15*b116 =L= 30;

e180..    x31 + 15*b117 =L= 30;

e181..    x31 - 5*b118 =L= 30;

e182..    x31 - 5*b119 =L= 30;

e183..    x80 + 46*b120 =L= 46;

e184..    x80 + 40*b121 =L= 46;

e185..    x80 + 6*b122 =L= 46;

e186..    x80 =L= 46;

e187..    x81 + 37*b124 =L= 37;

e188..    x81 + 30*b125 =L= 37;

e189..    x81 + 7*b126 =L= 37;

e190..    x81 =L= 37;

e191..    x82 + 22*b128 =L= 22;

e192..    x82 + 15*b129 =L= 22;

e193..    x82 + 7*b130 =L= 22;

e194..    x82 =L= 22;

e195..    x83 + 24*b132 =L= 24;

e196..    x83 + 13*b133 =L= 24;

e197..    x83 + 11*b134 =L= 24;

e198..    x83 =L= 24;

e199..    x84 + 23*b136 =L= 23;

e200..    x84 + 13*b137 =L= 23;

e201..    x84 + 10*b138 =L= 23;

e202..    x84 =L= 23;

e203..    x85 + 39*b140 =L= 39;

e204..    x85 + 30*b141 =L= 39;

e205..    x85 + 9*b142 =L= 39;

e206..    x85 =L= 39;

e207..    x86 + 28*b144 =L= 28;

e208..    x86 + 20*b145 =L= 28;

e209..    x86 + 8*b146 =L= 28;

e210..    x86 =L= 28;

e211..    x87 + 23*b148 =L= 23;

e212..    x87 + 15*b149 =L= 23;

e213..    x87 + 8*b150 =L= 23;

e214..    x87 =L= 23;

e215..    x80 =G= 0;

e216..    x80 - 6*b121 =G= 0;

e217..    x80 - 40*b122 =G= 0;

e218..    x80 - 46*b123 =G= 0;

e219..    x81 =G= 0;

e220..    x81 - 7*b125 =G= 0;

e221..    x81 - 30*b126 =G= 0;

e222..    x81 - 37*b127 =G= 0;

e223..    x82 =G= 0;

e224..    x82 - 7*b129 =G= 0;

e225..    x82 - 15*b130 =G= 0;

e226..    x82 - 22*b131 =G= 0;

e227..    x83 =G= 0;

e228..    x83 - 11*b133 =G= 0;

e229..    x83 - 13*b134 =G= 0;

e230..    x83 - 24*b135 =G= 0;

e231..    x84 =G= 0;

e232..    x84 - 10*b137 =G= 0;

e233..    x84 - 13*b138 =G= 0;

e234..    x84 - 23*b139 =G= 0;

e235..    x85 =G= 0;

e236..    x85 - 9*b141 =G= 0;

e237..    x85 - 30*b142 =G= 0;

e238..    x85 - 39*b143 =G= 0;

e239..    x86 =G= 0;

e240..    x86 - 8*b145 =G= 0;

e241..    x86 - 20*b146 =G= 0;

e242..    x86 - 28*b147 =G= 0;

e243..    x87 =G= 0;

e244..    x87 - 8*b149 =G= 0;

e245..    x87 - 15*b150 =G= 0;

e246..    x87 - 23*b151 =G= 0;

e247..    10*x2 + 15*x7 + 18*x11 + 19*x23 + 16*x30 + x80 + x81 + x82 + x83
        + x84 + x85 + x86 + x87 =L= 4000;

e248..    b88 + b89 + b90 + b91 =E= 1;

e249..    b92 + b93 + b94 + b95 =E= 1;

e250..    b96 + b97 + b98 + b99 =E= 1;

e251..    b100 + b101 + b102 + b103 =E= 1;

e252..    b104 + b105 + b106 + b107 =E= 1;

e253..    b108 + b109 + b110 + b111 =E= 1;

e254..    b112 + b113 + b114 + b115 =E= 1;

e255..    b116 + b117 + b118 + b119 =E= 1;

e256..    x6 - x33 - x152 =E= 0;

e257..    x10 - x34 - x163 =E= 0;

e258..    x21 - x35 - x180 =E= 0;

e259..    x22 - x36 - x181 =E= 0;

e260..    x152 - x153 - x154 =E= 0;

e261..  - x155 - x156 + x157 =E= 0;

e262..    x157 - x158 - x159 =E= 0;

e263..    x159 - x160 - x161 - x162 =E= 0;

e264..    x164 - x167 - x168 =E= 0;

e265..    x166 - x169 - x170 - x171 =E= 0;

e266..    x174 - x178 - x179 =E= 0;

e267..  - x175 - x181 + x182 =E= 0;

e268..    x176 - x183 - x184 =E= 0;

e269..    x177 - x185 - x186 - x187 =E= 0;

e270..    x196 - x197 =E= 0;

e271..    x197 - x198 - x199 =E= 0;

e272..  - x200 - x201 + x202 =E= 0;

e273..    x202 - x203 - x204 =E= 0;

e274..    x204 - x205 - x206 - x207 =E= 0;

e275..    x209 - x212 - x213 =E= 0;

e276..    x211 - x214 - x215 - x216 =E= 0;

e277..    x219 - x223 - x224 =E= 0;

e278..  - x220 - x226 + x227 =E= 0;

e279..    x221 - x228 - x229 =E= 0;

e280..    x222 - x230 - x231 - x232 =E= 0;

e281.. -log(1 + x153) + x155 + b242 =L= 1;

e282..    x153 - 40*b242 =L= 0;

e283..    x155 - 3.71357206670431*b242 =L= 0;

e284.. -1.2*log(1 + x154) + x156 + b243 =L= 1;

e285..    x154 - 40*b243 =L= 0;

e286..    x156 - 4.45628648004517*b243 =L= 0;

e287..  - 0.75*x160 + x164 + b244 =L= 1;

e288..  - 0.75*x160 + x164 - b244 =G= -1;

e289..    x160 - 4.45628648004517*b244 =L= 0;

e290..    x164 - 3.34221486003388*b244 =L= 0;

e291.. -1.5*log(1 + x161) + x165 + b245 =L= 1;

e292..    x161 - 4.45628648004517*b245 =L= 0;

e293..    x165 - 2.54515263975353*b245 =L= 0;

e294..  - x162 + x166 + b246 =L= 1;

e295..  - x162 + x166 - b246 =G= -1;

e296..  - 0.5*x163 + x166 + b246 =L= 1;

e297..  - 0.5*x163 + x166 - b246 =G= -1;

e298..    x162 - 4.45628648004517*b246 =L= 0;

e299..    x163 - 30*b246 =L= 0;

e300..    x166 - 15*b246 =L= 0;

e301.. -1.25*log(1 + x167) + x172 + b247 =L= 1;

e302..    x167 - 3.34221486003388*b247 =L= 0;

e303..    x172 - 1.83548069293539*b247 =L= 0;

e304.. -0.9*log(1 + x168) + x173 + b248 =L= 1;

e305..    x168 - 3.34221486003388*b248 =L= 0;

e306..    x173 - 1.32154609891348*b248 =L= 0;

e307.. -log(1 + x165) + x174 + b249 =L= 1;

e308..    x165 - 2.54515263975353*b249 =L= 0;

e309..    x174 - 1.26558121681553*b249 =L= 0;

e310..  - 0.9*x169 + x175 + b250 =L= 1;

e311..  - 0.9*x169 + x175 - b250 =G= -1;

e312..    x169 - 15*b250 =L= 0;

e313..    x175 - 13.5*b250 =L= 0;

e314..  - 0.6*x170 + x176 + b251 =L= 1;

e315..  - 0.6*x170 + x176 - b251 =G= -1;

e316..    x170 - 15*b251 =L= 0;

e317..    x176 - 9*b251 =L= 0;

e318.. -1.1*log(1 + x171) + x177 + b252 =L= 1;

e319..    x171 - 15*b252 =L= 0;

e320..    x177 - 3.04984759446376*b252 =L= 0;

e321..  - 0.9*x172 + x188 + b253 =L= 1;

e322..  - 0.9*x172 + x188 - b253 =G= -1;

e323..  - x180 + x188 + b253 =L= 1;

e324..  - x180 + x188 - b253 =G= -1;

e325..    x172 - 1.83548069293539*b253 =L= 0;

e326..    x180 - 20*b253 =L= 0;

e327..    x188 - 20*b253 =L= 0;

e328.. -log(1 + x173) + x189 + b254 =L= 1;

e329..    x173 - 1.32154609891348*b254 =L= 0;

e330..    x189 - 0.842233385663186*b254 =L= 0;

e331.. -0.7*log(1 + x178) + x190 + b255 =L= 1;

e332..    x178 - 1.26558121681553*b255 =L= 0;

e333..    x190 - 0.572481933717686*b255 =L= 0;

e334.. -0.65*log(1 + x179) + x191 + b256 =L= 1;

e335.. -0.65*log(1 + x182) + x191 + b256 =L= 1;

e336..    x179 - 1.26558121681553*b256 =L= 0;

e337..    x182 - 33.5*b256 =L= 0;

e338..    x191 - 2.30162356062425*b256 =L= 0;

e339..  - x183 + x192 + b257 =L= 1;

e340..  - x183 + x192 - b257 =G= -1;

e341..    x183 - 9*b257 =L= 0;

e342..    x192 - 9*b257 =L= 0;

e343..  - x184 + x193 + b258 =L= 1;

e344..  - x184 + x193 - b258 =G= -1;

e345..    x184 - 9*b258 =L= 0;

e346..    x193 - 9*b258 =L= 0;

e347.. -0.75*log(1 + x185) + x194 + b259 =L= 1;

e348..    x185 - 3.04984759446376*b259 =L= 0;

e349..    x194 - 1.04900943706034*b259 =L= 0;

e350.. -0.8*log(1 + x186) + x195 + b260 =L= 1;

e351..    x186 - 3.04984759446376*b260 =L= 0;

e352..    x195 - 1.11894339953103*b260 =L= 0;

e353.. -0.85*log(1 + x187) + x196 + b261 =L= 1;

e354..    x187 - 3.04984759446376*b261 =L= 0;

e355..    x196 - 1.18887736200171*b261 =L= 0;

e356.. -log(1 + x198) + x200 + b262 =L= 1;

e357..    x198 - 1.18887736200171*b262 =L= 0;

e358..    x200 - 0.78338879230327*b262 =L= 0;

e359.. -1.2*log(1 + x199) + x201 + b263 =L= 1;

e360..    x199 - 1.18887736200171*b263 =L= 0;

e361..    x201 - 0.940066550763924*b263 =L= 0;

e362..  - 0.75*x205 + x209 + b264 =L= 1;

e363..  - 0.75*x205 + x209 - b264 =G= -1;

e364..    x205 - 0.940066550763924*b264 =L= 0;

e365..    x209 - 0.705049913072943*b264 =L= 0;

e366.. -1.5*log(1 + x206) + x210 + b265 =L= 1;

e367..    x206 - 0.940066550763924*b265 =L= 0;

e368..    x210 - 0.994083415506506*b265 =L= 0;

e369..  - x207 + x211 + b266 =L= 1;

e370..  - x207 + x211 - b266 =G= -1;

e371..  - 0.5*x208 + x211 + b266 =L= 1;

e372..  - 0.5*x208 + x211 - b266 =G= -1;

e373..    x207 - 0.940066550763924*b266 =L= 0;

e374..    x208 - 30*b266 =L= 0;

e375..    x211 - 15*b266 =L= 0;

e376.. -1.25*log(1 + x212) + x217 + b267 =L= 1;

e377..    x212 - 0.705049913072943*b267 =L= 0;

e378..    x217 - 0.666992981045719*b267 =L= 0;

e379.. -0.9*log(1 + x213) + x218 + b268 =L= 1;

e380..    x213 - 0.705049913072943*b268 =L= 0;

e381..    x218 - 0.480234946352917*b268 =L= 0;

e382.. -log(1 + x210) + x219 + b269 =L= 1;

e383..    x210 - 0.994083415506506*b269 =L= 0;

e384..    x219 - 0.690184503917672*b269 =L= 0;

e385..  - 0.9*x214 + x220 + b270 =L= 1;

e386..  - 0.9*x214 + x220 - b270 =G= -1;

e387..    x214 - 15*b270 =L= 0;

e388..    x220 - 13.5*b270 =L= 0;

e389..  - 0.6*x215 + x221 + b271 =L= 1;

e390..  - 0.6*x215 + x221 - b271 =G= -1;

e391..    x215 - 15*b271 =L= 0;

e392..    x221 - 9*b271 =L= 0;

e393.. -1.1*log(1 + x216) + x222 + b272 =L= 1;

e394..    x216 - 15*b272 =L= 0;

e395..    x222 - 3.04984759446376*b272 =L= 0;

e396..  - 0.9*x217 + x233 + b273 =L= 1;

e397..  - 0.9*x217 + x233 - b273 =G= -1;

e398..  - x225 + x233 + b273 =L= 1;

e399..  - x225 + x233 - b273 =G= -1;

e400..    x217 - 0.666992981045719*b273 =L= 0;

e401..    x225 - 25*b273 =L= 0;

e402..    x233 - 25*b273 =L= 0;

e403.. -log(1 + x218) + x234 + b274 =L= 1;

e404..    x218 - 0.480234946352917*b274 =L= 0;

e405..    x234 - 0.392200822712722*b274 =L= 0;

e406.. -0.7*log(1 + x223) + x235 + b275 =L= 1;

e407..    x223 - 0.690184503917672*b275 =L= 0;

e408..    x235 - 0.367386387824208*b275 =L= 0;

e409.. -0.65*log(1 + x224) + x236 + b276 =L= 1;

e410.. -0.65*log(1 + x227) + x236 + b276 =L= 1;

e411..    x224 - 0.690184503917672*b276 =L= 0;

e412..    x227 - 38.5*b276 =L= 0;

e413..    x236 - 2.3895954367396*b276 =L= 0;

e414..  - x228 + x237 + b277 =L= 1;

e415..  - x228 + x237 - b277 =G= -1;

e416..    x228 - 9*b277 =L= 0;

e417..    x237 - 9*b277 =L= 0;

e418..  - x229 + x238 + b278 =L= 1;

e419..  - x229 + x238 - b278 =G= -1;

e420..    x229 - 9*b278 =L= 0;

e421..    x238 - 9*b278 =L= 0;

e422.. -0.75*log(1 + x230) + x239 + b279 =L= 1;

e423..    x230 - 3.04984759446376*b279 =L= 0;

e424..    x239 - 1.04900943706034*b279 =L= 0;

e425.. -0.8*log(1 + x231) + x240 + b280 =L= 1;

e426..    x231 - 3.04984759446376*b280 =L= 0;

e427..    x240 - 1.11894339953103*b280 =L= 0;

e428.. -0.85*log(1 + x232) + x241 + b281 =L= 1;

e429..    x232 - 3.04984759446376*b281 =L= 0;

e430..    x241 - 1.18887736200171*b281 =L= 0;

e431..    b242 + b243 =E= 1;

e432..  - b244 + b247 + b248 =G= 0;

e433..  - b247 + b253 =G= 0;

e434..  - b248 + b254 =G= 0;

e435..  - b245 + b249 =G= 0;

e436..  - b249 + b255 + b256 =G= 0;

e437..  - b246 + b250 + b251 + b252 =G= 0;

e438..  - b250 + b256 =G= 0;

e439..  - b251 + b257 + b258 =G= 0;

e440..  - b252 + b259 + b260 + b261 =G= 0;

e441..    b244 - b247 =G= 0;

e442..    b244 - b248 =G= 0;

e443..    b245 - b249 =G= 0;

e444..    b246 - b250 =G= 0;

e445..    b246 - b251 =G= 0;

e446..    b246 - b252 =G= 0;

e447..    b247 - b253 =G= 0;

e448..    b248 - b254 =G= 0;

e449..    b249 - b255 =G= 0;

e450..    b249 - b256 =G= 0;

e451..    b251 - b257 =G= 0;

e452..    b251 - b258 =G= 0;

e453..    b252 - b259 =G= 0;

e454..    b252 - b260 =G= 0;

e455..    b252 - b261 =G= 0;

e456..  - b261 + b262 + b263 =G= 0;

e457..  - b264 + b267 + b268 =G= 0;

e458..  - b267 + b273 =G= 0;

e459..  - b268 + b274 =G= 0;

e460..  - b265 + b269 =G= 0;

e461..  - b269 + b275 + b276 =G= 0;

e462..  - b266 + b270 + b271 + b272 =G= 0;

e463..  - b270 + b276 =G= 0;

e464..  - b271 + b277 + b278 =G= 0;

e465..  - b272 + b279 + b280 + b281 =G= 0;

e466..    b264 - b267 =G= 0;

e467..    b264 - b268 =G= 0;

e468..    b267 - b273 =G= 0;

e469..    b268 - b274 =G= 0;

e470..    b265 - b269 =G= 0;

e471..    b269 - b275 =G= 0;

e472..    b269 - b276 =G= 0;

e473..    b266 - b270 =G= 0;

e474..    b266 - b271 =G= 0;

e475..    b266 - b272 =G= 0;

e476..    b271 - b277 =G= 0;

e477..    b271 - b278 =G= 0;

e478..    b272 - b279 =G= 0;

e479..    b272 - b280 =G= 0;

e480..    b272 - b281 =G= 0;

e481..    b242 + b243 - b244 =G= 0;

e482..    b242 + b243 - b245 =G= 0;

e483..    b242 + b243 - b246 =G= 0;

e484..    b261 - b262 =G= 0;

e485..    b261 - b263 =G= 0;

* set non-default bounds
x152.up = 40;
x163.up = 30;
x180.up = 20;
x181.up = 20;
x208.up = 30;
x225.up = 25;
x226.up = 25;

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: 2022-05-24 Git hash: 1198c186
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