MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: rsyn0810m

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
Primal Bounds (infeas ≤ 1e-08)
1721.44771100 p1 ( gdx sol )
(infeas: 4e-14)
Other points (infeas > 1e-08)  
Dual Bounds
1721.45210000 (ALPHAECP)
1721.44771100 (ANTIGONE)
1721.44771100 (BARON)
1761.99830000 (BONMIN)
1721.44771100 (COUENNE)
1904.63370000 (LINDO)
1721.44771100 (SCIP)
References Sawaya, Nicolas W, Reformulations, relaxations and cutting planes for generalized disjunctive programming, PhD thesis, Carnegie Mellon University, 2006.
Source RSyn0810M.gms from CMU-IBM MINLP solver project page
Application Retrofit Planning
Added to library 28 Sep 2013
Problem type MBNLP
#Variables 185
#Binary Variables 74
#Integer Variables 0
#Nonlinear Variables 6
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 53
#Nonlinear Nonzeros in Objective 0
#Constraints 312
#Linear Constraints 306
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 6
Operands in Gen. Nonlin. Functions log
Constraints curvature convex
#Nonzeros in Jacobian 763
#Nonlinear Nonzeros in Jacobian 6
#Nonzeros in (Upper-Left) Hessian of Lagrangian 6
#Nonzeros in Diagonal of Hessian of Lagrangian 6
#Blocks in Hessian of Lagrangian 6
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 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
*        313       75       93      145        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        186      112       74        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*        817      811        6        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,b177,b178,b179,b180
          ,b181,b182,b183,b184,b185,b186;

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;

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,b177,b178
          ,b179,b180,b181,b182,b183,b184,b185,b186;

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;


e1..    objvar + 4*x2 + 8*x7 + 5*x11 + 8*x23 - 23*x27 - 19*x29 + 10*x30 - 2*x33
      - 3*x34 - 25*x35 - 24*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 + 2*x163
      - 200*x171 - 250*x172 - 200*x173 - 200*x174 - 500*x175 - 350*x176
      + 5*b177 + 8*b178 + 6*b179 + 10*b180 + 6*b181 + 7*b182 + 4*b183 + 5*b184
      + 2*b185 + 4*b186 =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..    4*x2 + 8*x7 + 5*x11 + 8*x23 + 10*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 =E= 0;

e259..    x22 - x36 =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.. -log(1 + x153) + x155 + b177 =L= 1;

e267..    x153 - 10*b177 =L= 0;

e268..    x155 - 2.39789527279837*b177 =L= 0;

e269.. -1.2*log(1 + x154) + x156 + b178 =L= 1;

e270..    x154 - 10*b178 =L= 0;

e271..    x156 - 2.87747432735804*b178 =L= 0;

e272..  - 0.75*x160 + x164 + b179 =L= 1;

e273..  - 0.75*x160 + x164 - b179 =G= -1;

e274..    x160 - 2.87747432735804*b179 =L= 0;

e275..    x164 - 2.15810574551853*b179 =L= 0;

e276.. -1.5*log(1 + x161) + x165 + b180 =L= 1;

e277..    x161 - 2.87747432735804*b180 =L= 0;

e278..    x165 - 2.03277599268042*b180 =L= 0;

e279..  - x162 + x166 + b181 =L= 1;

e280..  - x162 + x166 - b181 =G= -1;

e281..  - 0.5*x163 + x166 + b181 =L= 1;

e282..  - 0.5*x163 + x166 - b181 =G= -1;

e283..    x162 - 2.87747432735804*b181 =L= 0;

e284..    x163 - 7*b181 =L= 0;

e285..    x166 - 3.5*b181 =L= 0;

e286.. -1.25*log(1 + x167) + x172 + b182 =L= 1;

e287..    x167 - 2.15810574551853*b182 =L= 0;

e288..    x172 - 1.43746550029693*b182 =L= 0;

e289.. -0.9*log(1 + x168) + x173 + b183 =L= 1;

e290..    x168 - 2.15810574551853*b183 =L= 0;

e291..    x173 - 1.03497516021379*b183 =L= 0;

e292.. -log(1 + x165) + x174 + b184 =L= 1;

e293..    x165 - 2.03277599268042*b184 =L= 0;

e294..    x174 - 1.10947836929589*b184 =L= 0;

e295..  - 0.9*x169 + x175 + b185 =L= 1;

e296..  - 0.9*x169 + x175 - b185 =G= -1;

e297..    x169 - 3.5*b185 =L= 0;

e298..    x175 - 3.15*b185 =L= 0;

e299..  - 0.6*x170 + x176 + b186 =L= 1;

e300..  - 0.6*x170 + x176 - b186 =G= -1;

e301..    x170 - 3.5*b186 =L= 0;

e302..    x176 - 2.1*b186 =L= 0;

e303..    b177 + b178 =E= 1;

e304..  - b179 + b182 + b183 =G= 0;

e305..  - b180 + b184 =G= 0;

e306..    b177 + b178 - b179 =G= 0;

e307..    b177 + b178 - b180 =G= 0;

e308..    b177 + b178 - b181 =G= 0;

e309..    b179 - b182 =G= 0;

e310..    b179 - b183 =G= 0;

e311..    b180 - b184 =G= 0;

e312..    b181 - b185 =G= 0;

e313..    b181 - b186 =G= 0;

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

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: 2019-06-04 Git hash: 78444eaa
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