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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance syn20m02m

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)
1752.13320300 p1 ( gdx sol )
(infeas: 2e-14)
Other points (infeas > 1e-08)  
Dual Bounds
1752.31000000 (ALPHAECP)
1752.13359600 (ANTIGONE)
1752.13328800 (BARON)
1752.13320300 (BONMIN)
1752.13324100 (COUENNE)
1752.13320700 (LINDO)
1752.13335600 (SCIP)
1752.13377600 (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 Syn20M02M.gms from CMU-IBM MINLP solver project page
Application Synthesis of processing system
Added to library 28 Sep 2013
Problem type MBNLP
#Variables 210
#Binary Variables 80
#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 68
#Nonlinear Nonzeros in Objective 0
#Constraints 406
#Linear Constraints 378
#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 942
#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 5.0000e-01
Maximal coefficient 4.0500e+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
*        407       23      112      272        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        211      131       80        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1011      983       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,x88,x89,x90,x91,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,b152,b153,b154
          ,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167
          ,b168,b169,b170,b171,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;

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;

Binary Variables  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,b152,b153,b154,b155,b156
          ,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167,b168,b169
          ,b170,b171;

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;


e1..    objvar + x2 + x3 - 5*x14 - 10*x15 + 2*x24 + x25 + 10*x58 + 5*x59
      + 5*x60 + 5*x61 - 80*x74 - 130*x75 - 110*x76 - 120*x77 - 110*x78
      - 130*x79 - 80*x80 - 90*x81 - 285*x82 - 390*x83 - 290*x84 - 405*x85
      - 280*x86 - 400*x87 - 290*x88 - 300*x89 - 350*x90 - 250*x91 + 5*b132
      + 4*b133 + 8*b134 + 7*b135 + 6*b136 + 9*b137 + 10*b138 + 9*b139 + 6*b140
      + 10*b141 + 7*b142 + 7*b143 + 4*b144 + 3*b145 + 5*b146 + 6*b147 + 2*b148
      + 5*b149 + 4*b150 + 7*b151 + 3*b152 + 9*b153 + 7*b154 + 2*b155 + 3*b156
      + b157 + 2*b158 + 6*b159 + 4*b160 + 8*b161 + 2*b162 + 5*b163 + 3*b164
      + 4*b165 + 5*b166 + 7*b167 + 2*b168 + 8*b169 + b170 + 4*b171 =E= 0;

e2..    x2 - x4 - x6 =E= 0;

e3..    x3 - x5 - x7 =E= 0;

e4..  - x8 - x10 + x12 =E= 0;

e5..  - x9 - x11 + x13 =E= 0;

e6..    x12 - x14 - x16 =E= 0;

e7..    x13 - x15 - x17 =E= 0;

e8..    x16 - x18 - x20 - x22 =E= 0;

e9..    x17 - x19 - x21 - x23 =E= 0;

e10..    x26 - x32 - x34 =E= 0;

e11..    x27 - x33 - x35 =E= 0;

e12..    x30 - x36 - x38 - x40 =E= 0;

e13..    x31 - x37 - x39 - x41 =E= 0;

e14..    x46 - x54 - x56 =E= 0;

e15..    x47 - x55 - x57 =E= 0;

e16..  - x48 - x60 + x62 =E= 0;

e17..  - x49 - x61 + x63 =E= 0;

e18..    x50 - x64 - x66 =E= 0;

e19..    x51 - x65 - x67 =E= 0;

e20..    x52 - x68 - x70 - x72 =E= 0;

e21..    x53 - x69 - x71 - x73 =E= 0;

e22.. -log(1 + x4) + x8 + b92 =L= 1;

e23.. -log(1 + x5) + x9 + b93 =L= 1;

e24..    x4 - 40*b92 =L= 0;

e25..    x5 - 40*b93 =L= 0;

e26..    x8 - 3.71357206670431*b92 =L= 0;

e27..    x9 - 3.71357206670431*b93 =L= 0;

e28.. -1.2*log(1 + x6) + x10 + b94 =L= 1;

e29.. -1.2*log(1 + x7) + x11 + b95 =L= 1;

e30..    x6 - 40*b94 =L= 0;

e31..    x7 - 40*b95 =L= 0;

e32..    x10 - 4.45628648004517*b94 =L= 0;

e33..    x11 - 4.45628648004517*b95 =L= 0;

e34..  - 0.75*x18 + x26 + b96 =L= 1;

e35..  - 0.75*x19 + x27 + b97 =L= 1;

e36..  - 0.75*x18 + x26 - b96 =G= -1;

e37..  - 0.75*x19 + x27 - b97 =G= -1;

e38..    x18 - 4.45628648004517*b96 =L= 0;

e39..    x19 - 4.45628648004517*b97 =L= 0;

e40..    x26 - 3.34221486003388*b96 =L= 0;

e41..    x27 - 3.34221486003388*b97 =L= 0;

e42.. -1.5*log(1 + x20) + x28 + b98 =L= 1;

e43.. -1.5*log(1 + x21) + x29 + b99 =L= 1;

e44..    x20 - 4.45628648004517*b98 =L= 0;

e45..    x21 - 4.45628648004517*b99 =L= 0;

e46..    x28 - 2.54515263975353*b98 =L= 0;

e47..    x29 - 2.54515263975353*b99 =L= 0;

e48..  - x22 + x30 + b100 =L= 1;

e49..  - x23 + x31 + b101 =L= 1;

e50..  - x22 + x30 - b100 =G= -1;

e51..  - x23 + x31 - b101 =G= -1;

e52..  - 0.5*x24 + x30 + b100 =L= 1;

e53..  - 0.5*x25 + x31 + b101 =L= 1;

e54..  - 0.5*x24 + x30 - b100 =G= -1;

e55..  - 0.5*x25 + x31 - b101 =G= -1;

e56..    x22 - 4.45628648004517*b100 =L= 0;

e57..    x23 - 4.45628648004517*b101 =L= 0;

e58..    x24 - 30*b100 =L= 0;

e59..    x25 - 30*b101 =L= 0;

e60..    x30 - 15*b100 =L= 0;

e61..    x31 - 15*b101 =L= 0;

e62.. -1.25*log(1 + x32) + x42 + b102 =L= 1;

e63.. -1.25*log(1 + x33) + x43 + b103 =L= 1;

e64..    x32 - 3.34221486003388*b102 =L= 0;

e65..    x33 - 3.34221486003388*b103 =L= 0;

e66..    x42 - 1.83548069293539*b102 =L= 0;

e67..    x43 - 1.83548069293539*b103 =L= 0;

e68.. -0.9*log(1 + x34) + x44 + b104 =L= 1;

e69.. -0.9*log(1 + x35) + x45 + b105 =L= 1;

e70..    x34 - 3.34221486003388*b104 =L= 0;

e71..    x35 - 3.34221486003388*b105 =L= 0;

e72..    x44 - 1.32154609891348*b104 =L= 0;

e73..    x45 - 1.32154609891348*b105 =L= 0;

e74.. -log(1 + x28) + x46 + b106 =L= 1;

e75.. -log(1 + x29) + x47 + b107 =L= 1;

e76..    x28 - 2.54515263975353*b106 =L= 0;

e77..    x29 - 2.54515263975353*b107 =L= 0;

e78..    x46 - 1.26558121681553*b106 =L= 0;

e79..    x47 - 1.26558121681553*b107 =L= 0;

e80..  - 0.9*x36 + x48 + b108 =L= 1;

e81..  - 0.9*x37 + x49 + b109 =L= 1;

e82..  - 0.9*x36 + x48 - b108 =G= -1;

e83..  - 0.9*x37 + x49 - b109 =G= -1;

e84..    x36 - 15*b108 =L= 0;

e85..    x37 - 15*b109 =L= 0;

e86..    x48 - 13.5*b108 =L= 0;

e87..    x49 - 13.5*b109 =L= 0;

e88..  - 0.6*x38 + x50 + b110 =L= 1;

e89..  - 0.6*x39 + x51 + b111 =L= 1;

e90..  - 0.6*x38 + x50 - b110 =G= -1;

e91..  - 0.6*x39 + x51 - b111 =G= -1;

e92..    x38 - 15*b110 =L= 0;

e93..    x39 - 15*b111 =L= 0;

e94..    x50 - 9*b110 =L= 0;

e95..    x51 - 9*b111 =L= 0;

e96.. -1.1*log(1 + x40) + x52 + b112 =L= 1;

e97.. -1.1*log(1 + x41) + x53 + b113 =L= 1;

e98..    x40 - 15*b112 =L= 0;

e99..    x41 - 15*b113 =L= 0;

e100..    x52 - 3.04984759446376*b112 =L= 0;

e101..    x53 - 3.04984759446376*b113 =L= 0;

e102..  - 0.9*x42 + x74 + b114 =L= 1;

e103..  - 0.9*x43 + x75 + b115 =L= 1;

e104..  - 0.9*x42 + x74 - b114 =G= -1;

e105..  - 0.9*x43 + x75 - b115 =G= -1;

e106..  - x58 + x74 + b114 =L= 1;

e107..  - x59 + x75 + b115 =L= 1;

e108..  - x58 + x74 - b114 =G= -1;

e109..  - x59 + x75 - b115 =G= -1;

e110..    x42 - 1.83548069293539*b114 =L= 0;

e111..    x43 - 1.83548069293539*b115 =L= 0;

e112..    x58 - 20*b114 =L= 0;

e113..    x59 - 20*b115 =L= 0;

e114..    x74 - 20*b114 =L= 0;

e115..    x75 - 20*b115 =L= 0;

e116.. -log(1 + x44) + x76 + b116 =L= 1;

e117.. -log(1 + x45) + x77 + b117 =L= 1;

e118..    x44 - 1.32154609891348*b116 =L= 0;

e119..    x45 - 1.32154609891348*b117 =L= 0;

e120..    x76 - 0.842233385663186*b116 =L= 0;

e121..    x77 - 0.842233385663186*b117 =L= 0;

e122.. -0.7*log(1 + x54) + x78 + b118 =L= 1;

e123.. -0.7*log(1 + x55) + x79 + b119 =L= 1;

e124..    x54 - 1.26558121681553*b118 =L= 0;

e125..    x55 - 1.26558121681553*b119 =L= 0;

e126..    x78 - 0.572481933717686*b118 =L= 0;

e127..    x79 - 0.572481933717686*b119 =L= 0;

e128.. -0.65*log(1 + x56) + x80 + b120 =L= 1;

e129.. -0.65*log(1 + x57) + x81 + b121 =L= 1;

e130.. -0.65*log(1 + x62) + x80 + b120 =L= 1;

e131.. -0.65*log(1 + x63) + x81 + b121 =L= 1;

e132..    x56 - 1.26558121681553*b120 =L= 0;

e133..    x57 - 1.26558121681553*b121 =L= 0;

e134..    x62 - 33.5*b120 =L= 0;

e135..    x63 - 33.5*b121 =L= 0;

e136..    x80 - 2.30162356062425*b120 =L= 0;

e137..    x81 - 2.30162356062425*b121 =L= 0;

e138..  - x64 + x82 + b122 =L= 1;

e139..  - x65 + x83 + b123 =L= 1;

e140..  - x64 + x82 - b122 =G= -1;

e141..  - x65 + x83 - b123 =G= -1;

e142..    x64 - 9*b122 =L= 0;

e143..    x65 - 9*b123 =L= 0;

e144..    x82 - 9*b122 =L= 0;

e145..    x83 - 9*b123 =L= 0;

e146..  - x66 + x84 + b124 =L= 1;

e147..  - x67 + x85 + b125 =L= 1;

e148..  - x66 + x84 - b124 =G= -1;

e149..  - x67 + x85 - b125 =G= -1;

e150..    x66 - 9*b124 =L= 0;

e151..    x67 - 9*b125 =L= 0;

e152..    x84 - 9*b124 =L= 0;

e153..    x85 - 9*b125 =L= 0;

e154.. -0.75*log(1 + x68) + x86 + b126 =L= 1;

e155.. -0.75*log(1 + x69) + x87 + b127 =L= 1;

e156..    x68 - 3.04984759446376*b126 =L= 0;

e157..    x69 - 3.04984759446376*b127 =L= 0;

e158..    x86 - 1.04900943706034*b126 =L= 0;

e159..    x87 - 1.04900943706034*b127 =L= 0;

e160.. -0.8*log(1 + x70) + x88 + b128 =L= 1;

e161.. -0.8*log(1 + x71) + x89 + b129 =L= 1;

e162..    x70 - 3.04984759446376*b128 =L= 0;

e163..    x71 - 3.04984759446376*b129 =L= 0;

e164..    x88 - 1.11894339953103*b128 =L= 0;

e165..    x89 - 1.11894339953103*b129 =L= 0;

e166.. -0.85*log(1 + x72) + x90 + b130 =L= 1;

e167.. -0.85*log(1 + x73) + x91 + b131 =L= 1;

e168..    x72 - 3.04984759446376*b130 =L= 0;

e169..    x73 - 3.04984759446376*b131 =L= 0;

e170..    x90 - 1.18887736200171*b130 =L= 0;

e171..    x91 - 1.18887736200171*b131 =L= 0;

e172..    5*b132 + x172 =L= 0;

e173..    4*b133 + x173 =L= 0;

e174..    8*b134 + x174 =L= 0;

e175..    7*b135 + x175 =L= 0;

e176..    6*b136 + x176 =L= 0;

e177..    9*b137 + x177 =L= 0;

e178..    10*b138 + x178 =L= 0;

e179..    9*b139 + x179 =L= 0;

e180..    6*b140 + x180 =L= 0;

e181..    10*b141 + x181 =L= 0;

e182..    7*b142 + x182 =L= 0;

e183..    7*b143 + x183 =L= 0;

e184..    4*b144 + x184 =L= 0;

e185..    3*b145 + x185 =L= 0;

e186..    5*b146 + x186 =L= 0;

e187..    6*b147 + x187 =L= 0;

e188..    2*b148 + x188 =L= 0;

e189..    5*b149 + x189 =L= 0;

e190..    4*b150 + x190 =L= 0;

e191..    7*b151 + x191 =L= 0;

e192..    3*b152 + x192 =L= 0;

e193..    9*b153 + x193 =L= 0;

e194..    7*b154 + x194 =L= 0;

e195..    2*b155 + x195 =L= 0;

e196..    3*b156 + x196 =L= 0;

e197..    b157 + x197 =L= 0;

e198..    2*b158 + x198 =L= 0;

e199..    6*b159 + x199 =L= 0;

e200..    4*b160 + x200 =L= 0;

e201..    8*b161 + x201 =L= 0;

e202..    2*b162 + x202 =L= 0;

e203..    5*b163 + x203 =L= 0;

e204..    3*b164 + x204 =L= 0;

e205..    4*b165 + x205 =L= 0;

e206..    5*b166 + x206 =L= 0;

e207..    7*b167 + x207 =L= 0;

e208..    2*b168 + x208 =L= 0;

e209..    8*b169 + x209 =L= 0;

e210..    b170 + x210 =L= 0;

e211..    4*b171 + x211 =L= 0;

e212..    5*b132 + x172 =G= 0;

e213..    4*b133 + x173 =G= 0;

e214..    8*b134 + x174 =G= 0;

e215..    7*b135 + x175 =G= 0;

e216..    6*b136 + x176 =G= 0;

e217..    9*b137 + x177 =G= 0;

e218..    10*b138 + x178 =G= 0;

e219..    9*b139 + x179 =G= 0;

e220..    6*b140 + x180 =G= 0;

e221..    10*b141 + x181 =G= 0;

e222..    7*b142 + x182 =G= 0;

e223..    7*b143 + x183 =G= 0;

e224..    4*b144 + x184 =G= 0;

e225..    3*b145 + x185 =G= 0;

e226..    5*b146 + x186 =G= 0;

e227..    6*b147 + x187 =G= 0;

e228..    2*b148 + x188 =G= 0;

e229..    5*b149 + x189 =G= 0;

e230..    4*b150 + x190 =G= 0;

e231..    7*b151 + x191 =G= 0;

e232..    3*b152 + x192 =G= 0;

e233..    9*b153 + x193 =G= 0;

e234..    7*b154 + x194 =G= 0;

e235..    2*b155 + x195 =G= 0;

e236..    3*b156 + x196 =G= 0;

e237..    b157 + x197 =G= 0;

e238..    2*b158 + x198 =G= 0;

e239..    6*b159 + x199 =G= 0;

e240..    4*b160 + x200 =G= 0;

e241..    8*b161 + x201 =G= 0;

e242..    2*b162 + x202 =G= 0;

e243..    5*b163 + x203 =G= 0;

e244..    3*b164 + x204 =G= 0;

e245..    4*b165 + x205 =G= 0;

e246..    5*b166 + x206 =G= 0;

e247..    7*b167 + x207 =G= 0;

e248..    2*b168 + x208 =G= 0;

e249..    8*b169 + x209 =G= 0;

e250..    b170 + x210 =G= 0;

e251..    4*b171 + x211 =G= 0;

e252..    b92 - b93 =L= 0;

e253..    b94 - b95 =L= 0;

e254..    b96 - b97 =L= 0;

e255..    b98 - b99 =L= 0;

e256..    b100 - b101 =L= 0;

e257..    b102 - b103 =L= 0;

e258..    b104 - b105 =L= 0;

e259..    b106 - b107 =L= 0;

e260..    b108 - b109 =L= 0;

e261..    b110 - b111 =L= 0;

e262..    b112 - b113 =L= 0;

e263..    b114 - b115 =L= 0;

e264..    b116 - b117 =L= 0;

e265..    b118 - b119 =L= 0;

e266..    b120 - b121 =L= 0;

e267..    b122 - b123 =L= 0;

e268..    b124 - b125 =L= 0;

e269..    b126 - b127 =L= 0;

e270..    b128 - b129 =L= 0;

e271..    b130 - b131 =L= 0;

e272..    b132 + b133 =L= 1;

e273..    b132 + b133 =L= 1;

e274..    b134 + b135 =L= 1;

e275..    b134 + b135 =L= 1;

e276..    b136 + b137 =L= 1;

e277..    b136 + b137 =L= 1;

e278..    b138 + b139 =L= 1;

e279..    b138 + b139 =L= 1;

e280..    b140 + b141 =L= 1;

e281..    b140 + b141 =L= 1;

e282..    b142 + b143 =L= 1;

e283..    b142 + b143 =L= 1;

e284..    b144 + b145 =L= 1;

e285..    b144 + b145 =L= 1;

e286..    b146 + b147 =L= 1;

e287..    b146 + b147 =L= 1;

e288..    b148 + b149 =L= 1;

e289..    b148 + b149 =L= 1;

e290..    b150 + b151 =L= 1;

e291..    b150 + b151 =L= 1;

e292..    b152 + b153 =L= 1;

e293..    b152 + b153 =L= 1;

e294..    b154 + b155 =L= 1;

e295..    b154 + b155 =L= 1;

e296..    b156 + b157 =L= 1;

e297..    b156 + b157 =L= 1;

e298..    b158 + b159 =L= 1;

e299..    b158 + b159 =L= 1;

e300..    b160 + b161 =L= 1;

e301..    b160 + b161 =L= 1;

e302..    b162 + b163 =L= 1;

e303..    b162 + b163 =L= 1;

e304..    b164 + b165 =L= 1;

e305..    b164 + b165 =L= 1;

e306..    b166 + b167 =L= 1;

e307..    b166 + b167 =L= 1;

e308..    b168 + b169 =L= 1;

e309..    b168 + b169 =L= 1;

e310..    b170 + b171 =L= 1;

e311..    b170 + b171 =L= 1;

e312..    b92 - b132 =L= 0;

e313..  - b92 + b93 - b133 =L= 0;

e314..    b94 - b134 =L= 0;

e315..  - b94 + b95 - b135 =L= 0;

e316..    b96 - b136 =L= 0;

e317..  - b96 + b97 - b137 =L= 0;

e318..    b98 - b138 =L= 0;

e319..  - b98 + b99 - b139 =L= 0;

e320..    b100 - b140 =L= 0;

e321..  - b100 + b101 - b141 =L= 0;

e322..    b102 - b142 =L= 0;

e323..  - b102 + b103 - b143 =L= 0;

e324..    b104 - b144 =L= 0;

e325..  - b104 + b105 - b145 =L= 0;

e326..    b106 - b146 =L= 0;

e327..  - b106 + b107 - b147 =L= 0;

e328..    b108 - b148 =L= 0;

e329..  - b108 + b109 - b149 =L= 0;

e330..    b110 - b150 =L= 0;

e331..  - b110 + b111 - b151 =L= 0;

e332..    b112 - b152 =L= 0;

e333..  - b112 + b113 - b153 =L= 0;

e334..    b114 - b154 =L= 0;

e335..  - b114 + b115 - b155 =L= 0;

e336..    b116 - b156 =L= 0;

e337..  - b116 + b117 - b157 =L= 0;

e338..    b118 - b158 =L= 0;

e339..  - b118 + b119 - b159 =L= 0;

e340..    b120 - b160 =L= 0;

e341..  - b120 + b121 - b161 =L= 0;

e342..    b122 - b162 =L= 0;

e343..  - b122 + b123 - b163 =L= 0;

e344..    b124 - b164 =L= 0;

e345..  - b124 + b125 - b165 =L= 0;

e346..    b126 - b166 =L= 0;

e347..  - b126 + b127 - b167 =L= 0;

e348..    b128 - b168 =L= 0;

e349..  - b128 + b129 - b169 =L= 0;

e350..    b130 - b170 =L= 0;

e351..  - b130 + b131 - b171 =L= 0;

e352..    b92 + b94 =E= 1;

e353..    b93 + b95 =E= 1;

e354..  - b96 + b102 + b104 =G= 0;

e355..  - b97 + b103 + b105 =G= 0;

e356..  - b102 + b114 =G= 0;

e357..  - b103 + b115 =G= 0;

e358..  - b104 + b116 =G= 0;

e359..  - b105 + b117 =G= 0;

e360..  - b98 + b106 =G= 0;

e361..  - b99 + b107 =G= 0;

e362..  - b106 + b118 + b120 =G= 0;

e363..  - b107 + b119 + b121 =G= 0;

e364..  - b100 + b108 + b110 + b112 =G= 0;

e365..  - b101 + b109 + b111 + b113 =G= 0;

e366..  - b108 + b120 =G= 0;

e367..  - b109 + b121 =G= 0;

e368..  - b110 + b122 + b124 =G= 0;

e369..  - b111 + b123 + b125 =G= 0;

e370..  - b112 + b126 + b128 + b130 =G= 0;

e371..  - b113 + b127 + b129 + b131 =G= 0;

e372..    b92 + b94 - b96 =G= 0;

e373..    b93 + b95 - b97 =G= 0;

e374..    b92 + b94 - b98 =G= 0;

e375..    b93 + b95 - b99 =G= 0;

e376..    b92 + b94 - b100 =G= 0;

e377..    b93 + b95 - b101 =G= 0;

e378..    b96 - b102 =G= 0;

e379..    b97 - b103 =G= 0;

e380..    b96 - b104 =G= 0;

e381..    b97 - b105 =G= 0;

e382..    b98 - b106 =G= 0;

e383..    b99 - b107 =G= 0;

e384..    b100 - b108 =G= 0;

e385..    b101 - b109 =G= 0;

e386..    b100 - b110 =G= 0;

e387..    b101 - b111 =G= 0;

e388..    b100 - b112 =G= 0;

e389..    b101 - b113 =G= 0;

e390..    b102 - b114 =G= 0;

e391..    b103 - b115 =G= 0;

e392..    b104 - b116 =G= 0;

e393..    b105 - b117 =G= 0;

e394..    b106 - b118 =G= 0;

e395..    b107 - b119 =G= 0;

e396..    b106 - b120 =G= 0;

e397..    b107 - b121 =G= 0;

e398..    b110 - b122 =G= 0;

e399..    b111 - b123 =G= 0;

e400..    b110 - b124 =G= 0;

e401..    b111 - b125 =G= 0;

e402..    b112 - b126 =G= 0;

e403..    b113 - b127 =G= 0;

e404..    b112 - b128 =G= 0;

e405..    b113 - b129 =G= 0;

e406..    b112 - b130 =G= 0;

e407..    b113 - b131 =G= 0;

* set non-default bounds
x2.up = 40;
x3.up = 40;
x24.up = 30;
x25.up = 30;
x58.up = 20;
x59.up = 20;
x60.up = 20;
x61.up = 20;

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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