MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

Home // Instances // Documentation // Download // Statistics


Instance syn10m04m

Selection of optimal configuration and parameters for a processing system selected from a superstructure containing alternative processing units and interconnections.
Formats ams gms mod nl osil py
Primal Bounds (infeas ≤ 1e-08)
4557.06233800 p1 ( gdx sol )
(infeas: 2e-13)
Other points (infeas > 1e-08)  
Dual Bounds
4557.35690000 (ALPHAECP)
4557.06331300 (ANTIGONE)
4557.06234300 (BARON)
4557.06233800 (BONMIN)
4557.06250000 (COUENNE)
4557.06233800 (LINDO)
4557.06335600 (SCIP)
4557.06347000 (SHOT)
References Duran, Marco A and Grossmann, I E, An Outer-Approximation Algorithm for a Class of Mixed-integer Nonlinear Programs, Mathematical Programming, 36:3, 1986, 307-339.
Türkay, Metin and Grossmann, I E, Logic-based MINLP Algorithms for optimal synthesis of process networks, Computers and Chemical Engineering, 20:8, 1996, 959-978.
Source Syn10M04M.gms from CMU-IBM MINLP solver project page
Application Synthesis of processing system
Added to library 28 Sep 2013
Problem type MBNLP
#Variables 220
#Binary Variables 80
#Integer Variables 0
#Nonlinear Variables 24
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 76
#Nonlinear Nonzeros in Objective 0
#Constraints 516
#Linear Constraints 492
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 24
Operands in Gen. Nonlin. Functions log
Constraints curvature convex
#Nonzeros in Jacobian 1204
#Nonlinear Nonzeros in Jacobian 24
#Nonzeros in (Upper-Left) Hessian of Lagrangian 24
#Nonzeros in Diagonal of Hessian of Lagrangian 24
#Blocks in Hessian of Lagrangian 24
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 5.0000e-01
Maximal coefficient 4.3000e+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
*        517       29      100      388        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        221      141       80        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1281     1257       24        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,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,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,b152,b153,b154
          ,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167
          ,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180
          ,b181,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;

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,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101;

Binary Variables  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,b152
          ,b153,b154,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165
          ,b166,b167,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178
          ,b179,b180,b181;

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,e486,e487,e488,e489,e490,e491,e492,e493
          ,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
          ,e507,e508,e509,e510,e511,e512,e513,e514,e515,e516,e517;


e1..    objvar + x2 + x3 + x4 + x5 - 5*x26 - 10*x27 - 5*x28 - 10*x29 + 2*x46
      + x47 + 2*x48 + x49 - 80*x78 - 90*x79 - 120*x80 - 100*x81 - 285*x82
      - 390*x83 - 350*x84 - 300*x85 - 290*x86 - 405*x87 - 190*x88 - 340*x89
      - 280*x90 - 400*x91 - 430*x92 - 260*x93 - 290*x94 - 300*x95 - 240*x96
      - 310*x97 - 350*x98 - 250*x99 - 300*x100 - 400*x101 + 5*b142 + 4*b143
      + 6*b144 + 3*b145 + 8*b146 + 7*b147 + 6*b148 + 5*b149 + 6*b150 + 9*b151
      + 4*b152 + 3*b153 + 10*b154 + 9*b155 + 5*b156 + 6*b157 + 6*b158 + 10*b159
      + 6*b160 + 9*b161 + 7*b162 + 7*b163 + 4*b164 + 2*b165 + 4*b166 + 3*b167
      + 2*b168 + 8*b169 + 5*b170 + 6*b171 + 7*b172 + 4*b173 + 2*b174 + 5*b175
      + 2*b176 + 6*b177 + 4*b178 + 7*b179 + 4*b180 + 7*b181 =E= 0;

e2..    x2 - x6 - x10 =E= 0;

e3..    x3 - x7 - x11 =E= 0;

e4..    x4 - x8 - x12 =E= 0;

e5..    x5 - x9 - x13 =E= 0;

e6..  - x14 - x18 + x22 =E= 0;

e7..  - x15 - x19 + x23 =E= 0;

e8..  - x16 - x20 + x24 =E= 0;

e9..  - x17 - x21 + x25 =E= 0;

e10..    x22 - x26 - x30 =E= 0;

e11..    x23 - x27 - x31 =E= 0;

e12..    x24 - x28 - x32 =E= 0;

e13..    x25 - x29 - x33 =E= 0;

e14..    x30 - x34 - x38 - x42 =E= 0;

e15..    x31 - x35 - x39 - x43 =E= 0;

e16..    x32 - x36 - x40 - x44 =E= 0;

e17..    x33 - x37 - x41 - x45 =E= 0;

e18..    x50 - x62 - x66 =E= 0;

e19..    x51 - x63 - x67 =E= 0;

e20..    x52 - x64 - x68 =E= 0;

e21..    x53 - x65 - x69 =E= 0;

e22..    x58 - x70 - x74 - x78 =E= 0;

e23..    x59 - x71 - x75 - x79 =E= 0;

e24..    x60 - x72 - x76 - x80 =E= 0;

e25..    x61 - x73 - x77 - x81 =E= 0;

e26.. -log(1 + x6) + x14 + b102 =L= 1;

e27.. -log(1 + x7) + x15 + b103 =L= 1;

e28.. -log(1 + x8) + x16 + b104 =L= 1;

e29.. -log(1 + x9) + x17 + b105 =L= 1;

e30..    x6 - 40*b102 =L= 0;

e31..    x7 - 40*b103 =L= 0;

e32..    x8 - 40*b104 =L= 0;

e33..    x9 - 40*b105 =L= 0;

e34..    x14 - 3.71357206670431*b102 =L= 0;

e35..    x15 - 3.71357206670431*b103 =L= 0;

e36..    x16 - 3.71357206670431*b104 =L= 0;

e37..    x17 - 3.71357206670431*b105 =L= 0;

e38.. -1.2*log(1 + x10) + x18 + b106 =L= 1;

e39.. -1.2*log(1 + x11) + x19 + b107 =L= 1;

e40.. -1.2*log(1 + x12) + x20 + b108 =L= 1;

e41.. -1.2*log(1 + x13) + x21 + b109 =L= 1;

e42..    x10 - 40*b106 =L= 0;

e43..    x11 - 40*b107 =L= 0;

e44..    x12 - 40*b108 =L= 0;

e45..    x13 - 40*b109 =L= 0;

e46..    x18 - 4.45628648004517*b106 =L= 0;

e47..    x19 - 4.45628648004517*b107 =L= 0;

e48..    x20 - 4.45628648004517*b108 =L= 0;

e49..    x21 - 4.45628648004517*b109 =L= 0;

e50..  - 0.75*x34 + x50 + b110 =L= 1;

e51..  - 0.75*x35 + x51 + b111 =L= 1;

e52..  - 0.75*x36 + x52 + b112 =L= 1;

e53..  - 0.75*x37 + x53 + b113 =L= 1;

e54..  - 0.75*x34 + x50 - b110 =G= -1;

e55..  - 0.75*x35 + x51 - b111 =G= -1;

e56..  - 0.75*x36 + x52 - b112 =G= -1;

e57..  - 0.75*x37 + x53 - b113 =G= -1;

e58..    x34 - 4.45628648004517*b110 =L= 0;

e59..    x35 - 4.45628648004517*b111 =L= 0;

e60..    x36 - 4.45628648004517*b112 =L= 0;

e61..    x37 - 4.45628648004517*b113 =L= 0;

e62..    x50 - 3.34221486003388*b110 =L= 0;

e63..    x51 - 3.34221486003388*b111 =L= 0;

e64..    x52 - 3.34221486003388*b112 =L= 0;

e65..    x53 - 3.34221486003388*b113 =L= 0;

e66.. -1.5*log(1 + x38) + x54 + b114 =L= 1;

e67.. -1.5*log(1 + x39) + x55 + b115 =L= 1;

e68.. -1.5*log(1 + x40) + x56 + b116 =L= 1;

e69.. -1.5*log(1 + x41) + x57 + b117 =L= 1;

e70..    x38 - 4.45628648004517*b114 =L= 0;

e71..    x39 - 4.45628648004517*b115 =L= 0;

e72..    x40 - 4.45628648004517*b116 =L= 0;

e73..    x41 - 4.45628648004517*b117 =L= 0;

e74..    x54 - 2.54515263975353*b114 =L= 0;

e75..    x55 - 2.54515263975353*b115 =L= 0;

e76..    x56 - 2.54515263975353*b116 =L= 0;

e77..    x57 - 2.54515263975353*b117 =L= 0;

e78..  - x42 + x58 + b118 =L= 1;

e79..  - x43 + x59 + b119 =L= 1;

e80..  - x44 + x60 + b120 =L= 1;

e81..  - x45 + x61 + b121 =L= 1;

e82..  - x42 + x58 - b118 =G= -1;

e83..  - x43 + x59 - b119 =G= -1;

e84..  - x44 + x60 - b120 =G= -1;

e85..  - x45 + x61 - b121 =G= -1;

e86..  - 0.5*x46 + x58 + b118 =L= 1;

e87..  - 0.5*x47 + x59 + b119 =L= 1;

e88..  - 0.5*x48 + x60 + b120 =L= 1;

e89..  - 0.5*x49 + x61 + b121 =L= 1;

e90..  - 0.5*x46 + x58 - b118 =G= -1;

e91..  - 0.5*x47 + x59 - b119 =G= -1;

e92..  - 0.5*x48 + x60 - b120 =G= -1;

e93..  - 0.5*x49 + x61 - b121 =G= -1;

e94..    x42 - 4.45628648004517*b118 =L= 0;

e95..    x43 - 4.45628648004517*b119 =L= 0;

e96..    x44 - 4.45628648004517*b120 =L= 0;

e97..    x45 - 4.45628648004517*b121 =L= 0;

e98..    x46 - 30*b118 =L= 0;

e99..    x47 - 30*b119 =L= 0;

e100..    x48 - 30*b120 =L= 0;

e101..    x49 - 30*b121 =L= 0;

e102..    x58 - 15*b118 =L= 0;

e103..    x59 - 15*b119 =L= 0;

e104..    x60 - 15*b120 =L= 0;

e105..    x61 - 15*b121 =L= 0;

e106.. -1.25*log(1 + x62) + x82 + b122 =L= 1;

e107.. -1.25*log(1 + x63) + x83 + b123 =L= 1;

e108.. -1.25*log(1 + x64) + x84 + b124 =L= 1;

e109.. -1.25*log(1 + x65) + x85 + b125 =L= 1;

e110..    x62 - 3.34221486003388*b122 =L= 0;

e111..    x63 - 3.34221486003388*b123 =L= 0;

e112..    x64 - 3.34221486003388*b124 =L= 0;

e113..    x65 - 3.34221486003388*b125 =L= 0;

e114..    x82 - 1.83548069293539*b122 =L= 0;

e115..    x83 - 1.83548069293539*b123 =L= 0;

e116..    x84 - 1.83548069293539*b124 =L= 0;

e117..    x85 - 1.83548069293539*b125 =L= 0;

e118.. -0.9*log(1 + x66) + x86 + b126 =L= 1;

e119.. -0.9*log(1 + x67) + x87 + b127 =L= 1;

e120.. -0.9*log(1 + x68) + x88 + b128 =L= 1;

e121.. -0.9*log(1 + x69) + x89 + b129 =L= 1;

e122..    x66 - 3.34221486003388*b126 =L= 0;

e123..    x67 - 3.34221486003388*b127 =L= 0;

e124..    x68 - 3.34221486003388*b128 =L= 0;

e125..    x69 - 3.34221486003388*b129 =L= 0;

e126..    x86 - 1.32154609891348*b126 =L= 0;

e127..    x87 - 1.32154609891348*b127 =L= 0;

e128..    x88 - 1.32154609891348*b128 =L= 0;

e129..    x89 - 1.32154609891348*b129 =L= 0;

e130.. -log(1 + x54) + x90 + b130 =L= 1;

e131.. -log(1 + x55) + x91 + b131 =L= 1;

e132.. -log(1 + x56) + x92 + b132 =L= 1;

e133.. -log(1 + x57) + x93 + b133 =L= 1;

e134..    x54 - 2.54515263975353*b130 =L= 0;

e135..    x55 - 2.54515263975353*b131 =L= 0;

e136..    x56 - 2.54515263975353*b132 =L= 0;

e137..    x57 - 2.54515263975353*b133 =L= 0;

e138..    x90 - 1.26558121681553*b130 =L= 0;

e139..    x91 - 1.26558121681553*b131 =L= 0;

e140..    x92 - 1.26558121681553*b132 =L= 0;

e141..    x93 - 1.26558121681553*b133 =L= 0;

e142..  - 0.9*x70 + x94 + b134 =L= 1;

e143..  - 0.9*x71 + x95 + b135 =L= 1;

e144..  - 0.9*x72 + x96 + b136 =L= 1;

e145..  - 0.9*x73 + x97 + b137 =L= 1;

e146..  - 0.9*x70 + x94 - b134 =G= -1;

e147..  - 0.9*x71 + x95 - b135 =G= -1;

e148..  - 0.9*x72 + x96 - b136 =G= -1;

e149..  - 0.9*x73 + x97 - b137 =G= -1;

e150..    x70 - 15*b134 =L= 0;

e151..    x71 - 15*b135 =L= 0;

e152..    x72 - 15*b136 =L= 0;

e153..    x73 - 15*b137 =L= 0;

e154..    x94 - 13.5*b134 =L= 0;

e155..    x95 - 13.5*b135 =L= 0;

e156..    x96 - 13.5*b136 =L= 0;

e157..    x97 - 13.5*b137 =L= 0;

e158..  - 0.6*x74 + x98 + b138 =L= 1;

e159..  - 0.6*x75 + x99 + b139 =L= 1;

e160..  - 0.6*x76 + x100 + b140 =L= 1;

e161..  - 0.6*x77 + x101 + b141 =L= 1;

e162..  - 0.6*x74 + x98 - b138 =G= -1;

e163..  - 0.6*x75 + x99 - b139 =G= -1;

e164..  - 0.6*x76 + x100 - b140 =G= -1;

e165..  - 0.6*x77 + x101 - b141 =G= -1;

e166..    x74 - 15*b138 =L= 0;

e167..    x75 - 15*b139 =L= 0;

e168..    x76 - 15*b140 =L= 0;

e169..    x77 - 15*b141 =L= 0;

e170..    x98 - 9*b138 =L= 0;

e171..    x99 - 9*b139 =L= 0;

e172..    x100 - 9*b140 =L= 0;

e173..    x101 - 9*b141 =L= 0;

e174..    5*b142 + x182 =L= 0;

e175..    4*b143 + x183 =L= 0;

e176..    6*b144 + x184 =L= 0;

e177..    3*b145 + x185 =L= 0;

e178..    8*b146 + x186 =L= 0;

e179..    7*b147 + x187 =L= 0;

e180..    6*b148 + x188 =L= 0;

e181..    5*b149 + x189 =L= 0;

e182..    6*b150 + x190 =L= 0;

e183..    9*b151 + x191 =L= 0;

e184..    4*b152 + x192 =L= 0;

e185..    3*b153 + x193 =L= 0;

e186..    10*b154 + x194 =L= 0;

e187..    9*b155 + x195 =L= 0;

e188..    5*b156 + x196 =L= 0;

e189..    6*b157 + x197 =L= 0;

e190..    6*b158 + x198 =L= 0;

e191..    10*b159 + x199 =L= 0;

e192..    6*b160 + x200 =L= 0;

e193..    9*b161 + x201 =L= 0;

e194..    7*b162 + x202 =L= 0;

e195..    7*b163 + x203 =L= 0;

e196..    4*b164 + x204 =L= 0;

e197..    2*b165 + x205 =L= 0;

e198..    4*b166 + x206 =L= 0;

e199..    3*b167 + x207 =L= 0;

e200..    2*b168 + x208 =L= 0;

e201..    8*b169 + x209 =L= 0;

e202..    5*b170 + x210 =L= 0;

e203..    6*b171 + x211 =L= 0;

e204..    7*b172 + x212 =L= 0;

e205..    4*b173 + x213 =L= 0;

e206..    2*b174 + x214 =L= 0;

e207..    5*b175 + x215 =L= 0;

e208..    2*b176 + x216 =L= 0;

e209..    6*b177 + x217 =L= 0;

e210..    4*b178 + x218 =L= 0;

e211..    7*b179 + x219 =L= 0;

e212..    4*b180 + x220 =L= 0;

e213..    7*b181 + x221 =L= 0;

e214..    5*b142 + x182 =G= 0;

e215..    4*b143 + x183 =G= 0;

e216..    6*b144 + x184 =G= 0;

e217..    3*b145 + x185 =G= 0;

e218..    8*b146 + x186 =G= 0;

e219..    7*b147 + x187 =G= 0;

e220..    6*b148 + x188 =G= 0;

e221..    5*b149 + x189 =G= 0;

e222..    6*b150 + x190 =G= 0;

e223..    9*b151 + x191 =G= 0;

e224..    4*b152 + x192 =G= 0;

e225..    3*b153 + x193 =G= 0;

e226..    10*b154 + x194 =G= 0;

e227..    9*b155 + x195 =G= 0;

e228..    5*b156 + x196 =G= 0;

e229..    6*b157 + x197 =G= 0;

e230..    6*b158 + x198 =G= 0;

e231..    10*b159 + x199 =G= 0;

e232..    6*b160 + x200 =G= 0;

e233..    9*b161 + x201 =G= 0;

e234..    7*b162 + x202 =G= 0;

e235..    7*b163 + x203 =G= 0;

e236..    4*b164 + x204 =G= 0;

e237..    2*b165 + x205 =G= 0;

e238..    4*b166 + x206 =G= 0;

e239..    3*b167 + x207 =G= 0;

e240..    2*b168 + x208 =G= 0;

e241..    8*b169 + x209 =G= 0;

e242..    5*b170 + x210 =G= 0;

e243..    6*b171 + x211 =G= 0;

e244..    7*b172 + x212 =G= 0;

e245..    4*b173 + x213 =G= 0;

e246..    2*b174 + x214 =G= 0;

e247..    5*b175 + x215 =G= 0;

e248..    2*b176 + x216 =G= 0;

e249..    6*b177 + x217 =G= 0;

e250..    4*b178 + x218 =G= 0;

e251..    7*b179 + x219 =G= 0;

e252..    4*b180 + x220 =G= 0;

e253..    7*b181 + x221 =G= 0;

e254..    b102 - b103 =L= 0;

e255..    b102 - b104 =L= 0;

e256..    b102 - b105 =L= 0;

e257..    b103 - b104 =L= 0;

e258..    b103 - b105 =L= 0;

e259..    b104 - b105 =L= 0;

e260..    b106 - b107 =L= 0;

e261..    b106 - b108 =L= 0;

e262..    b106 - b109 =L= 0;

e263..    b107 - b108 =L= 0;

e264..    b107 - b109 =L= 0;

e265..    b108 - b109 =L= 0;

e266..    b110 - b111 =L= 0;

e267..    b110 - b112 =L= 0;

e268..    b110 - b113 =L= 0;

e269..    b111 - b112 =L= 0;

e270..    b111 - b113 =L= 0;

e271..    b112 - b113 =L= 0;

e272..    b114 - b115 =L= 0;

e273..    b114 - b116 =L= 0;

e274..    b114 - b117 =L= 0;

e275..    b115 - b116 =L= 0;

e276..    b115 - b117 =L= 0;

e277..    b116 - b117 =L= 0;

e278..    b118 - b119 =L= 0;

e279..    b118 - b120 =L= 0;

e280..    b118 - b121 =L= 0;

e281..    b119 - b120 =L= 0;

e282..    b119 - b121 =L= 0;

e283..    b120 - b121 =L= 0;

e284..    b122 - b123 =L= 0;

e285..    b122 - b124 =L= 0;

e286..    b122 - b125 =L= 0;

e287..    b123 - b124 =L= 0;

e288..    b123 - b125 =L= 0;

e289..    b124 - b125 =L= 0;

e290..    b126 - b127 =L= 0;

e291..    b126 - b128 =L= 0;

e292..    b126 - b129 =L= 0;

e293..    b127 - b128 =L= 0;

e294..    b127 - b129 =L= 0;

e295..    b128 - b129 =L= 0;

e296..    b130 - b131 =L= 0;

e297..    b130 - b132 =L= 0;

e298..    b130 - b133 =L= 0;

e299..    b131 - b132 =L= 0;

e300..    b131 - b133 =L= 0;

e301..    b132 - b133 =L= 0;

e302..    b134 - b135 =L= 0;

e303..    b134 - b136 =L= 0;

e304..    b134 - b137 =L= 0;

e305..    b135 - b136 =L= 0;

e306..    b135 - b137 =L= 0;

e307..    b136 - b137 =L= 0;

e308..    b138 - b139 =L= 0;

e309..    b138 - b140 =L= 0;

e310..    b138 - b141 =L= 0;

e311..    b139 - b140 =L= 0;

e312..    b139 - b141 =L= 0;

e313..    b140 - b141 =L= 0;

e314..    b142 + b143 =L= 1;

e315..    b142 + b144 =L= 1;

e316..    b142 + b145 =L= 1;

e317..    b142 + b143 =L= 1;

e318..    b143 + b144 =L= 1;

e319..    b143 + b145 =L= 1;

e320..    b142 + b144 =L= 1;

e321..    b143 + b144 =L= 1;

e322..    b144 + b145 =L= 1;

e323..    b142 + b145 =L= 1;

e324..    b143 + b145 =L= 1;

e325..    b144 + b145 =L= 1;

e326..    b146 + b147 =L= 1;

e327..    b146 + b148 =L= 1;

e328..    b146 + b149 =L= 1;

e329..    b146 + b147 =L= 1;

e330..    b147 + b148 =L= 1;

e331..    b147 + b149 =L= 1;

e332..    b146 + b148 =L= 1;

e333..    b147 + b148 =L= 1;

e334..    b148 + b149 =L= 1;

e335..    b146 + b149 =L= 1;

e336..    b147 + b149 =L= 1;

e337..    b148 + b149 =L= 1;

e338..    b150 + b151 =L= 1;

e339..    b150 + b152 =L= 1;

e340..    b150 + b153 =L= 1;

e341..    b150 + b151 =L= 1;

e342..    b151 + b152 =L= 1;

e343..    b151 + b153 =L= 1;

e344..    b150 + b152 =L= 1;

e345..    b151 + b152 =L= 1;

e346..    b152 + b153 =L= 1;

e347..    b150 + b153 =L= 1;

e348..    b151 + b153 =L= 1;

e349..    b152 + b153 =L= 1;

e350..    b154 + b155 =L= 1;

e351..    b154 + b156 =L= 1;

e352..    b154 + b157 =L= 1;

e353..    b154 + b155 =L= 1;

e354..    b155 + b156 =L= 1;

e355..    b155 + b157 =L= 1;

e356..    b154 + b156 =L= 1;

e357..    b155 + b156 =L= 1;

e358..    b156 + b157 =L= 1;

e359..    b154 + b157 =L= 1;

e360..    b155 + b157 =L= 1;

e361..    b156 + b157 =L= 1;

e362..    b158 + b159 =L= 1;

e363..    b158 + b160 =L= 1;

e364..    b158 + b161 =L= 1;

e365..    b158 + b159 =L= 1;

e366..    b159 + b160 =L= 1;

e367..    b159 + b161 =L= 1;

e368..    b158 + b160 =L= 1;

e369..    b159 + b160 =L= 1;

e370..    b160 + b161 =L= 1;

e371..    b158 + b161 =L= 1;

e372..    b159 + b161 =L= 1;

e373..    b160 + b161 =L= 1;

e374..    b162 + b163 =L= 1;

e375..    b162 + b164 =L= 1;

e376..    b162 + b165 =L= 1;

e377..    b162 + b163 =L= 1;

e378..    b163 + b164 =L= 1;

e379..    b163 + b165 =L= 1;

e380..    b162 + b164 =L= 1;

e381..    b163 + b164 =L= 1;

e382..    b164 + b165 =L= 1;

e383..    b162 + b165 =L= 1;

e384..    b163 + b165 =L= 1;

e385..    b164 + b165 =L= 1;

e386..    b166 + b167 =L= 1;

e387..    b166 + b168 =L= 1;

e388..    b166 + b169 =L= 1;

e389..    b166 + b167 =L= 1;

e390..    b167 + b168 =L= 1;

e391..    b167 + b169 =L= 1;

e392..    b166 + b168 =L= 1;

e393..    b167 + b168 =L= 1;

e394..    b168 + b169 =L= 1;

e395..    b166 + b169 =L= 1;

e396..    b167 + b169 =L= 1;

e397..    b168 + b169 =L= 1;

e398..    b170 + b171 =L= 1;

e399..    b170 + b172 =L= 1;

e400..    b170 + b173 =L= 1;

e401..    b170 + b171 =L= 1;

e402..    b171 + b172 =L= 1;

e403..    b171 + b173 =L= 1;

e404..    b170 + b172 =L= 1;

e405..    b171 + b172 =L= 1;

e406..    b172 + b173 =L= 1;

e407..    b170 + b173 =L= 1;

e408..    b171 + b173 =L= 1;

e409..    b172 + b173 =L= 1;

e410..    b174 + b175 =L= 1;

e411..    b174 + b176 =L= 1;

e412..    b174 + b177 =L= 1;

e413..    b174 + b175 =L= 1;

e414..    b175 + b176 =L= 1;

e415..    b175 + b177 =L= 1;

e416..    b174 + b176 =L= 1;

e417..    b175 + b176 =L= 1;

e418..    b176 + b177 =L= 1;

e419..    b174 + b177 =L= 1;

e420..    b175 + b177 =L= 1;

e421..    b176 + b177 =L= 1;

e422..    b178 + b179 =L= 1;

e423..    b178 + b180 =L= 1;

e424..    b178 + b181 =L= 1;

e425..    b178 + b179 =L= 1;

e426..    b179 + b180 =L= 1;

e427..    b179 + b181 =L= 1;

e428..    b178 + b180 =L= 1;

e429..    b179 + b180 =L= 1;

e430..    b180 + b181 =L= 1;

e431..    b178 + b181 =L= 1;

e432..    b179 + b181 =L= 1;

e433..    b180 + b181 =L= 1;

e434..    b102 - b142 =L= 0;

e435..  - b102 + b103 - b143 =L= 0;

e436..  - b102 - b103 + b104 - b144 =L= 0;

e437..  - b102 - b103 - b104 + b105 - b145 =L= 0;

e438..    b106 - b146 =L= 0;

e439..  - b106 + b107 - b147 =L= 0;

e440..  - b106 - b107 + b108 - b148 =L= 0;

e441..  - b106 - b107 - b108 + b109 - b149 =L= 0;

e442..    b110 - b150 =L= 0;

e443..  - b110 + b111 - b151 =L= 0;

e444..  - b110 - b111 + b112 - b152 =L= 0;

e445..  - b110 - b111 - b112 + b113 - b153 =L= 0;

e446..    b114 - b154 =L= 0;

e447..  - b114 + b115 - b155 =L= 0;

e448..  - b114 - b115 + b116 - b156 =L= 0;

e449..  - b114 - b115 - b116 + b117 - b157 =L= 0;

e450..    b118 - b158 =L= 0;

e451..  - b118 + b119 - b159 =L= 0;

e452..  - b118 - b119 + b120 - b160 =L= 0;

e453..  - b118 - b119 - b120 + b121 - b161 =L= 0;

e454..    b122 - b162 =L= 0;

e455..  - b122 + b123 - b163 =L= 0;

e456..  - b122 - b123 + b124 - b164 =L= 0;

e457..  - b122 - b123 - b124 + b125 - b165 =L= 0;

e458..    b126 - b166 =L= 0;

e459..  - b126 + b127 - b167 =L= 0;

e460..  - b126 - b127 + b128 - b168 =L= 0;

e461..  - b126 - b127 - b128 + b129 - b169 =L= 0;

e462..    b130 - b170 =L= 0;

e463..  - b130 + b131 - b171 =L= 0;

e464..  - b130 - b131 + b132 - b172 =L= 0;

e465..  - b130 - b131 - b132 + b133 - b173 =L= 0;

e466..    b134 - b174 =L= 0;

e467..  - b134 + b135 - b175 =L= 0;

e468..  - b134 - b135 + b136 - b176 =L= 0;

e469..  - b134 - b135 - b136 + b137 - b177 =L= 0;

e470..    b138 - b178 =L= 0;

e471..  - b138 + b139 - b179 =L= 0;

e472..  - b138 - b139 + b140 - b180 =L= 0;

e473..  - b138 - b139 - b140 + b141 - b181 =L= 0;

e474..    b102 + b106 =E= 1;

e475..    b103 + b107 =E= 1;

e476..    b104 + b108 =E= 1;

e477..    b105 + b109 =E= 1;

e478..  - b110 + b122 + b126 =G= 0;

e479..  - b111 + b123 + b127 =G= 0;

e480..  - b112 + b124 + b128 =G= 0;

e481..  - b113 + b125 + b129 =G= 0;

e482..  - b114 + b130 =G= 0;

e483..  - b115 + b131 =G= 0;

e484..  - b116 + b132 =G= 0;

e485..  - b117 + b133 =G= 0;

e486..    b102 + b106 - b110 =G= 0;

e487..    b103 + b107 - b111 =G= 0;

e488..    b104 + b108 - b112 =G= 0;

e489..    b105 + b109 - b113 =G= 0;

e490..    b102 + b106 - b114 =G= 0;

e491..    b103 + b107 - b115 =G= 0;

e492..    b104 + b108 - b116 =G= 0;

e493..    b105 + b109 - b117 =G= 0;

e494..    b102 + b106 - b118 =G= 0;

e495..    b103 + b107 - b119 =G= 0;

e496..    b104 + b108 - b120 =G= 0;

e497..    b105 + b109 - b121 =G= 0;

e498..    b110 - b122 =G= 0;

e499..    b111 - b123 =G= 0;

e500..    b112 - b124 =G= 0;

e501..    b113 - b125 =G= 0;

e502..    b110 - b126 =G= 0;

e503..    b111 - b127 =G= 0;

e504..    b112 - b128 =G= 0;

e505..    b113 - b129 =G= 0;

e506..    b114 - b130 =G= 0;

e507..    b115 - b131 =G= 0;

e508..    b116 - b132 =G= 0;

e509..    b117 - b133 =G= 0;

e510..    b118 - b134 =G= 0;

e511..    b119 - b135 =G= 0;

e512..    b120 - b136 =G= 0;

e513..    b121 - b137 =G= 0;

e514..    b118 - b138 =G= 0;

e515..    b119 - b139 =G= 0;

e516..    b120 - b140 =G= 0;

e517..    b121 - b141 =G= 0;

* set non-default bounds
x2.up = 40;
x3.up = 40;
x4.up = 40;
x5.up = 40;
x46.up = 30;
x47.up = 30;
x48.up = 30;
x49.up = 30;

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: 2022-04-26 Git hash: de668763
Imprint / Privacy Policy / License: CC-BY 4.0