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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance rsyn0820m

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)
1150.30052900 p1 ( gdx sol )
(infeas: 3e-10)
Other points (infeas > 1e-08)  
Dual Bounds
1150.30052900 (ALPHAECP)
1150.30091800 (ANTIGONE)
1150.30077000 (BARON)
1606.27230000 (BONMIN)
1150.30065900 (COUENNE)
1150.30053600 (LINDO)
1150.30070000 (SCIP)
1262.20682500 (SHOT)
References Sawaya, Nicolas W, Reformulations, relaxations and cutting planes for generalized disjunctive programming, PhD thesis, Carnegie Mellon University, 2006.
Source RSyn0820M.gms from CMU-IBM MINLP solver project page
Application Retrofit Planning
Added to library 28 Sep 2013
Problem type MBNLP
#Variables 215
#Binary Variables 84
#Integer Variables 0
#Nonlinear Variables 14
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 65
#Nonlinear Nonzeros in Objective 0
#Constraints 371
#Linear Constraints 357
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 14
Operands in Gen. Nonlin. Functions log
Constraints curvature convex
#Nonzeros in Jacobian 910
#Nonlinear Nonzeros in Jacobian 14
#Nonzeros in (Upper-Left) Hessian of Lagrangian 14
#Nonzeros in Diagonal of Hessian of Lagrangian 14
#Blocks in Hessian of Lagrangian 14
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 7.0000e+02
Infeasibility of initial point 1
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
*        372       79      114      179        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        216      132       84        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*        976      962       14        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,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206
          ,b207,b208,b209,b210,b211,b212,b213,b214,b215,b216;

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;

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,b197,b198
          ,b199,b200,b201,b202,b203,b204,b205,b206,b207,b208,b209,b210,b211
          ,b212,b213,b214,b215,b216;

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;


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 - 5*x158 - 200*x188
      - 250*x189 - 200*x190 - 700*x191 - 400*x192 - 500*x193 - 400*x194
      - 600*x195 - 700*x196 + 5*b197 + 8*b198 + 6*b199 + 10*b200 + 6*b201
      + 7*b202 + 4*b203 + 5*b204 + 2*b205 + 4*b206 + 3*b207 + 7*b208 + 3*b209
      + 2*b210 + 4*b211 + 2*b212 + 3*b213 + 5*b214 + 2*b215 + 8*b216 =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= 0.4;

e38..    x29 =G= 0.3;

e39..    x33 =G= 0.2;

e40..    x34 =G= 0.5;

e41..    x35 =G= 0.2;

e42..    x36 =G= 0.3;

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.. -log(1 + x153) + x155 + b197 =L= 1;

e271..    x153 - 10*b197 =L= 0;

e272..    x155 - 2.39789527279837*b197 =L= 0;

e273.. -1.2*log(1 + x154) + x156 + b198 =L= 1;

e274..    x154 - 10*b198 =L= 0;

e275..    x156 - 2.87747432735804*b198 =L= 0;

e276..  - 0.75*x160 + x164 + b199 =L= 1;

e277..  - 0.75*x160 + x164 - b199 =G= -1;

e278..    x160 - 2.87747432735804*b199 =L= 0;

e279..    x164 - 2.15810574551853*b199 =L= 0;

e280.. -1.5*log(1 + x161) + x165 + b200 =L= 1;

e281..    x161 - 2.87747432735804*b200 =L= 0;

e282..    x165 - 2.03277599268042*b200 =L= 0;

e283..  - x162 + x166 + b201 =L= 1;

e284..  - x162 + x166 - b201 =G= -1;

e285..  - 0.5*x163 + x166 + b201 =L= 1;

e286..  - 0.5*x163 + x166 - b201 =G= -1;

e287..    x162 - 2.87747432735804*b201 =L= 0;

e288..    x163 - 7*b201 =L= 0;

e289..    x166 - 3.5*b201 =L= 0;

e290.. -1.25*log(1 + x167) + x172 + b202 =L= 1;

e291..    x167 - 2.15810574551853*b202 =L= 0;

e292..    x172 - 1.43746550029693*b202 =L= 0;

e293.. -0.9*log(1 + x168) + x173 + b203 =L= 1;

e294..    x168 - 2.15810574551853*b203 =L= 0;

e295..    x173 - 1.03497516021379*b203 =L= 0;

e296.. -log(1 + x165) + x174 + b204 =L= 1;

e297..    x165 - 2.03277599268042*b204 =L= 0;

e298..    x174 - 1.10947836929589*b204 =L= 0;

e299..  - 0.9*x169 + x175 + b205 =L= 1;

e300..  - 0.9*x169 + x175 - b205 =G= -1;

e301..    x169 - 3.5*b205 =L= 0;

e302..    x175 - 3.15*b205 =L= 0;

e303..  - 0.6*x170 + x176 + b206 =L= 1;

e304..  - 0.6*x170 + x176 - b206 =G= -1;

e305..    x170 - 3.5*b206 =L= 0;

e306..    x176 - 2.1*b206 =L= 0;

e307.. -1.1*log(1 + x171) + x177 + b207 =L= 1;

e308..    x171 - 3.5*b207 =L= 0;

e309..    x177 - 1.6544851364539*b207 =L= 0;

e310..  - 0.9*x172 + x188 + b208 =L= 1;

e311..  - 0.9*x172 + x188 - b208 =G= -1;

e312..  - x180 + x188 + b208 =L= 1;

e313..  - x180 + x188 - b208 =G= -1;

e314..    x172 - 1.43746550029693*b208 =L= 0;

e315..    x180 - 5*b208 =L= 0;

e316..    x188 - 5*b208 =L= 0;

e317.. -log(1 + x173) + x189 + b209 =L= 1;

e318..    x173 - 1.03497516021379*b209 =L= 0;

e319..    x189 - 0.710483612536911*b209 =L= 0;

e320.. -0.7*log(1 + x178) + x190 + b210 =L= 1;

e321..    x178 - 1.10947836929589*b210 =L= 0;

e322..    x190 - 0.522508489006913*b210 =L= 0;

e323.. -0.65*log(1 + x179) + x191 + b211 =L= 1;

e324.. -0.65*log(1 + x182) + x191 + b211 =L= 1;

e325..    x179 - 1.10947836929589*b211 =L= 0;

e326..    x182 - 8.15*b211 =L= 0;

e327..    x191 - 1.43894002153683*b211 =L= 0;

e328..  - x183 + x192 + b212 =L= 1;

e329..  - x183 + x192 - b212 =G= -1;

e330..    x183 - 2.1*b212 =L= 0;

e331..    x192 - 2.1*b212 =L= 0;

e332..  - x184 + x193 + b213 =L= 1;

e333..  - x184 + x193 - b213 =G= -1;

e334..    x184 - 2.1*b213 =L= 0;

e335..    x193 - 2.1*b213 =L= 0;

e336.. -0.75*log(1 + x185) + x194 + b214 =L= 1;

e337..    x185 - 1.6544851364539*b214 =L= 0;

e338..    x194 - 0.732188035236726*b214 =L= 0;

e339.. -0.8*log(1 + x186) + x195 + b215 =L= 1;

e340..    x186 - 1.6544851364539*b215 =L= 0;

e341..    x195 - 0.781000570919175*b215 =L= 0;

e342.. -0.85*log(1 + x187) + x196 + b216 =L= 1;

e343..    x187 - 1.6544851364539*b216 =L= 0;

e344..    x196 - 0.829813106601623*b216 =L= 0;

e345..    b197 + b198 =E= 1;

e346..  - b199 + b202 + b203 =G= 0;

e347..  - b202 + b208 =G= 0;

e348..  - b203 + b209 =G= 0;

e349..  - b200 + b204 =G= 0;

e350..  - b204 + b210 + b211 =G= 0;

e351..  - b201 + b205 + b206 + b207 =G= 0;

e352..  - b205 + b211 =G= 0;

e353..  - b206 + b212 + b213 =G= 0;

e354..  - b207 + b214 + b215 + b216 =G= 0;

e355..    b197 + b198 - b199 =G= 0;

e356..    b197 + b198 - b200 =G= 0;

e357..    b197 + b198 - b201 =G= 0;

e358..    b199 - b202 =G= 0;

e359..    b199 - b203 =G= 0;

e360..    b200 - b204 =G= 0;

e361..    b201 - b205 =G= 0;

e362..    b201 - b206 =G= 0;

e363..    b201 - b207 =G= 0;

e364..    b202 - b208 =G= 0;

e365..    b203 - b209 =G= 0;

e366..    b204 - b210 =G= 0;

e367..    b204 - b211 =G= 0;

e368..    b206 - b212 =G= 0;

e369..    b206 - b213 =G= 0;

e370..    b207 - b214 =G= 0;

e371..    b207 - b215 =G= 0;

e372..    b207 - b216 =G= 0;

* set non-default bounds
x152.up = 10;
x163.up = 7;
x180.up = 5;
x181.up = 5;

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: 2022-10-14 Git hash: 2be6d7c0
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