MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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


Instance syn10m03m

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)
3354.68279500 p1 ( gdx sol )
(infeas: 4e-14)
Other points (infeas > 1e-08)  
Dual Bounds
3354.69080000 (ALPHAECP)
3354.68365200 (ANTIGONE)
3354.68280000 (BARON)
3354.68280000 (BONMIN)
3354.68290000 (COUENNE)
3354.68280000 (LINDO)
3354.68338800 (SCIP)
3354.68368600 (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 Syn10M03M.gms from CMU-IBM MINLP solver project page
Application Synthesis of processing system
Added to library 28 Sep 2013
Problem type MBNLP
#Variables 165
#Binary Variables 60
#Integer Variables 0
#Nonlinear Variables 18
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 57
#Nonlinear Nonzeros in Objective 0
#Constraints 342
#Linear Constraints 324
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 18
Operands in Gen. Nonlin. Functions log
Constraints curvature convex
#Nonzeros in Jacobian 798
#Nonlinear Nonzeros in Jacobian 18
#Nonzeros in (Upper-Left) Hessian of Lagrangian 18
#Nonzeros in Diagonal of Hessian of Lagrangian 18
#Blocks in Hessian of Lagrangian 18
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
*        343       22       75      246        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        166      106       60        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*        856      838       18        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,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86
          ,b87,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,x137,x138,x139,x140,x141
          ,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154
          ,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166;

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;

Binary Variables  b77,b78,b79,b80,b81,b82,b83,b84,b85,b86,b87,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;

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;


e1..    objvar + x2 + x3 + x4 - 5*x20 - 10*x21 - 5*x22 + 2*x35 + x36 + 2*x37
      - 80*x59 - 90*x60 - 120*x61 - 285*x62 - 390*x63 - 350*x64 - 290*x65
      - 405*x66 - 190*x67 - 280*x68 - 400*x69 - 430*x70 - 290*x71 - 300*x72
      - 240*x73 - 350*x74 - 250*x75 - 300*x76 + 5*b107 + 4*b108 + 6*b109
      + 8*b110 + 7*b111 + 6*b112 + 6*b113 + 9*b114 + 4*b115 + 10*b116 + 9*b117
      + 5*b118 + 6*b119 + 10*b120 + 6*b121 + 7*b122 + 7*b123 + 4*b124 + 4*b125
      + 3*b126 + 2*b127 + 5*b128 + 6*b129 + 7*b130 + 2*b131 + 5*b132 + 2*b133
      + 4*b134 + 7*b135 + 4*b136 =E= 0;

e2..    x2 - x5 - x8 =E= 0;

e3..    x3 - x6 - x9 =E= 0;

e4..    x4 - x7 - x10 =E= 0;

e5..  - x11 - x14 + x17 =E= 0;

e6..  - x12 - x15 + x18 =E= 0;

e7..  - x13 - x16 + x19 =E= 0;

e8..    x17 - x20 - x23 =E= 0;

e9..    x18 - x21 - x24 =E= 0;

e10..    x19 - x22 - x25 =E= 0;

e11..    x23 - x26 - x29 - x32 =E= 0;

e12..    x24 - x27 - x30 - x33 =E= 0;

e13..    x25 - x28 - x31 - x34 =E= 0;

e14..    x38 - x47 - x50 =E= 0;

e15..    x39 - x48 - x51 =E= 0;

e16..    x40 - x49 - x52 =E= 0;

e17..    x44 - x53 - x56 - x59 =E= 0;

e18..    x45 - x54 - x57 - x60 =E= 0;

e19..    x46 - x55 - x58 - x61 =E= 0;

e20.. -log(1 + x5) + x11 + b77 =L= 1;

e21.. -log(1 + x6) + x12 + b78 =L= 1;

e22.. -log(1 + x7) + x13 + b79 =L= 1;

e23..    x5 - 40*b77 =L= 0;

e24..    x6 - 40*b78 =L= 0;

e25..    x7 - 40*b79 =L= 0;

e26..    x11 - 3.71357206670431*b77 =L= 0;

e27..    x12 - 3.71357206670431*b78 =L= 0;

e28..    x13 - 3.71357206670431*b79 =L= 0;

e29.. -1.2*log(1 + x8) + x14 + b80 =L= 1;

e30.. -1.2*log(1 + x9) + x15 + b81 =L= 1;

e31.. -1.2*log(1 + x10) + x16 + b82 =L= 1;

e32..    x8 - 40*b80 =L= 0;

e33..    x9 - 40*b81 =L= 0;

e34..    x10 - 40*b82 =L= 0;

e35..    x14 - 4.45628648004517*b80 =L= 0;

e36..    x15 - 4.45628648004517*b81 =L= 0;

e37..    x16 - 4.45628648004517*b82 =L= 0;

e38..  - 0.75*x26 + x38 + b83 =L= 1;

e39..  - 0.75*x27 + x39 + b84 =L= 1;

e40..  - 0.75*x28 + x40 + b85 =L= 1;

e41..  - 0.75*x26 + x38 - b83 =G= -1;

e42..  - 0.75*x27 + x39 - b84 =G= -1;

e43..  - 0.75*x28 + x40 - b85 =G= -1;

e44..    x26 - 4.45628648004517*b83 =L= 0;

e45..    x27 - 4.45628648004517*b84 =L= 0;

e46..    x28 - 4.45628648004517*b85 =L= 0;

e47..    x38 - 3.34221486003388*b83 =L= 0;

e48..    x39 - 3.34221486003388*b84 =L= 0;

e49..    x40 - 3.34221486003388*b85 =L= 0;

e50.. -1.5*log(1 + x29) + x41 + b86 =L= 1;

e51.. -1.5*log(1 + x30) + x42 + b87 =L= 1;

e52.. -1.5*log(1 + x31) + x43 + b88 =L= 1;

e53..    x29 - 4.45628648004517*b86 =L= 0;

e54..    x30 - 4.45628648004517*b87 =L= 0;

e55..    x31 - 4.45628648004517*b88 =L= 0;

e56..    x41 - 2.54515263975353*b86 =L= 0;

e57..    x42 - 2.54515263975353*b87 =L= 0;

e58..    x43 - 2.54515263975353*b88 =L= 0;

e59..  - x32 + x44 + b89 =L= 1;

e60..  - x33 + x45 + b90 =L= 1;

e61..  - x34 + x46 + b91 =L= 1;

e62..  - x32 + x44 - b89 =G= -1;

e63..  - x33 + x45 - b90 =G= -1;

e64..  - x34 + x46 - b91 =G= -1;

e65..  - 0.5*x35 + x44 + b89 =L= 1;

e66..  - 0.5*x36 + x45 + b90 =L= 1;

e67..  - 0.5*x37 + x46 + b91 =L= 1;

e68..  - 0.5*x35 + x44 - b89 =G= -1;

e69..  - 0.5*x36 + x45 - b90 =G= -1;

e70..  - 0.5*x37 + x46 - b91 =G= -1;

e71..    x32 - 4.45628648004517*b89 =L= 0;

e72..    x33 - 4.45628648004517*b90 =L= 0;

e73..    x34 - 4.45628648004517*b91 =L= 0;

e74..    x35 - 30*b89 =L= 0;

e75..    x36 - 30*b90 =L= 0;

e76..    x37 - 30*b91 =L= 0;

e77..    x44 - 15*b89 =L= 0;

e78..    x45 - 15*b90 =L= 0;

e79..    x46 - 15*b91 =L= 0;

e80.. -1.25*log(1 + x47) + x62 + b92 =L= 1;

e81.. -1.25*log(1 + x48) + x63 + b93 =L= 1;

e82.. -1.25*log(1 + x49) + x64 + b94 =L= 1;

e83..    x47 - 3.34221486003388*b92 =L= 0;

e84..    x48 - 3.34221486003388*b93 =L= 0;

e85..    x49 - 3.34221486003388*b94 =L= 0;

e86..    x62 - 1.83548069293539*b92 =L= 0;

e87..    x63 - 1.83548069293539*b93 =L= 0;

e88..    x64 - 1.83548069293539*b94 =L= 0;

e89.. -0.9*log(1 + x50) + x65 + b95 =L= 1;

e90.. -0.9*log(1 + x51) + x66 + b96 =L= 1;

e91.. -0.9*log(1 + x52) + x67 + b97 =L= 1;

e92..    x50 - 3.34221486003388*b95 =L= 0;

e93..    x51 - 3.34221486003388*b96 =L= 0;

e94..    x52 - 3.34221486003388*b97 =L= 0;

e95..    x65 - 1.32154609891348*b95 =L= 0;

e96..    x66 - 1.32154609891348*b96 =L= 0;

e97..    x67 - 1.32154609891348*b97 =L= 0;

e98.. -log(1 + x41) + x68 + b98 =L= 1;

e99.. -log(1 + x42) + x69 + b99 =L= 1;

e100.. -log(1 + x43) + x70 + b100 =L= 1;

e101..    x41 - 2.54515263975353*b98 =L= 0;

e102..    x42 - 2.54515263975353*b99 =L= 0;

e103..    x43 - 2.54515263975353*b100 =L= 0;

e104..    x68 - 1.26558121681553*b98 =L= 0;

e105..    x69 - 1.26558121681553*b99 =L= 0;

e106..    x70 - 1.26558121681553*b100 =L= 0;

e107..  - 0.9*x53 + x71 + b101 =L= 1;

e108..  - 0.9*x54 + x72 + b102 =L= 1;

e109..  - 0.9*x55 + x73 + b103 =L= 1;

e110..  - 0.9*x53 + x71 - b101 =G= -1;

e111..  - 0.9*x54 + x72 - b102 =G= -1;

e112..  - 0.9*x55 + x73 - b103 =G= -1;

e113..    x53 - 15*b101 =L= 0;

e114..    x54 - 15*b102 =L= 0;

e115..    x55 - 15*b103 =L= 0;

e116..    x71 - 13.5*b101 =L= 0;

e117..    x72 - 13.5*b102 =L= 0;

e118..    x73 - 13.5*b103 =L= 0;

e119..  - 0.6*x56 + x74 + b104 =L= 1;

e120..  - 0.6*x57 + x75 + b105 =L= 1;

e121..  - 0.6*x58 + x76 + b106 =L= 1;

e122..  - 0.6*x56 + x74 - b104 =G= -1;

e123..  - 0.6*x57 + x75 - b105 =G= -1;

e124..  - 0.6*x58 + x76 - b106 =G= -1;

e125..    x56 - 15*b104 =L= 0;

e126..    x57 - 15*b105 =L= 0;

e127..    x58 - 15*b106 =L= 0;

e128..    x74 - 9*b104 =L= 0;

e129..    x75 - 9*b105 =L= 0;

e130..    x76 - 9*b106 =L= 0;

e131..    5*b107 + x137 =L= 0;

e132..    4*b108 + x138 =L= 0;

e133..    6*b109 + x139 =L= 0;

e134..    8*b110 + x140 =L= 0;

e135..    7*b111 + x141 =L= 0;

e136..    6*b112 + x142 =L= 0;

e137..    6*b113 + x143 =L= 0;

e138..    9*b114 + x144 =L= 0;

e139..    4*b115 + x145 =L= 0;

e140..    10*b116 + x146 =L= 0;

e141..    9*b117 + x147 =L= 0;

e142..    5*b118 + x148 =L= 0;

e143..    6*b119 + x149 =L= 0;

e144..    10*b120 + x150 =L= 0;

e145..    6*b121 + x151 =L= 0;

e146..    7*b122 + x152 =L= 0;

e147..    7*b123 + x153 =L= 0;

e148..    4*b124 + x154 =L= 0;

e149..    4*b125 + x155 =L= 0;

e150..    3*b126 + x156 =L= 0;

e151..    2*b127 + x157 =L= 0;

e152..    5*b128 + x158 =L= 0;

e153..    6*b129 + x159 =L= 0;

e154..    7*b130 + x160 =L= 0;

e155..    2*b131 + x161 =L= 0;

e156..    5*b132 + x162 =L= 0;

e157..    2*b133 + x163 =L= 0;

e158..    4*b134 + x164 =L= 0;

e159..    7*b135 + x165 =L= 0;

e160..    4*b136 + x166 =L= 0;

e161..    5*b107 + x137 =G= 0;

e162..    4*b108 + x138 =G= 0;

e163..    6*b109 + x139 =G= 0;

e164..    8*b110 + x140 =G= 0;

e165..    7*b111 + x141 =G= 0;

e166..    6*b112 + x142 =G= 0;

e167..    6*b113 + x143 =G= 0;

e168..    9*b114 + x144 =G= 0;

e169..    4*b115 + x145 =G= 0;

e170..    10*b116 + x146 =G= 0;

e171..    9*b117 + x147 =G= 0;

e172..    5*b118 + x148 =G= 0;

e173..    6*b119 + x149 =G= 0;

e174..    10*b120 + x150 =G= 0;

e175..    6*b121 + x151 =G= 0;

e176..    7*b122 + x152 =G= 0;

e177..    7*b123 + x153 =G= 0;

e178..    4*b124 + x154 =G= 0;

e179..    4*b125 + x155 =G= 0;

e180..    3*b126 + x156 =G= 0;

e181..    2*b127 + x157 =G= 0;

e182..    5*b128 + x158 =G= 0;

e183..    6*b129 + x159 =G= 0;

e184..    7*b130 + x160 =G= 0;

e185..    2*b131 + x161 =G= 0;

e186..    5*b132 + x162 =G= 0;

e187..    2*b133 + x163 =G= 0;

e188..    4*b134 + x164 =G= 0;

e189..    7*b135 + x165 =G= 0;

e190..    4*b136 + x166 =G= 0;

e191..    b77 - b78 =L= 0;

e192..    b77 - b79 =L= 0;

e193..    b78 - b79 =L= 0;

e194..    b80 - b81 =L= 0;

e195..    b80 - b82 =L= 0;

e196..    b81 - b82 =L= 0;

e197..    b83 - b84 =L= 0;

e198..    b83 - b85 =L= 0;

e199..    b84 - b85 =L= 0;

e200..    b86 - b87 =L= 0;

e201..    b86 - b88 =L= 0;

e202..    b87 - b88 =L= 0;

e203..    b89 - b90 =L= 0;

e204..    b89 - b91 =L= 0;

e205..    b90 - b91 =L= 0;

e206..    b92 - b93 =L= 0;

e207..    b92 - b94 =L= 0;

e208..    b93 - b94 =L= 0;

e209..    b95 - b96 =L= 0;

e210..    b95 - b97 =L= 0;

e211..    b96 - b97 =L= 0;

e212..    b98 - b99 =L= 0;

e213..    b98 - b100 =L= 0;

e214..    b99 - b100 =L= 0;

e215..    b101 - b102 =L= 0;

e216..    b101 - b103 =L= 0;

e217..    b102 - b103 =L= 0;

e218..    b104 - b105 =L= 0;

e219..    b104 - b106 =L= 0;

e220..    b105 - b106 =L= 0;

e221..    b107 + b108 =L= 1;

e222..    b107 + b109 =L= 1;

e223..    b107 + b108 =L= 1;

e224..    b108 + b109 =L= 1;

e225..    b107 + b109 =L= 1;

e226..    b108 + b109 =L= 1;

e227..    b110 + b111 =L= 1;

e228..    b110 + b112 =L= 1;

e229..    b110 + b111 =L= 1;

e230..    b111 + b112 =L= 1;

e231..    b110 + b112 =L= 1;

e232..    b111 + b112 =L= 1;

e233..    b113 + b114 =L= 1;

e234..    b113 + b115 =L= 1;

e235..    b113 + b114 =L= 1;

e236..    b114 + b115 =L= 1;

e237..    b113 + b115 =L= 1;

e238..    b114 + b115 =L= 1;

e239..    b116 + b117 =L= 1;

e240..    b116 + b118 =L= 1;

e241..    b116 + b117 =L= 1;

e242..    b117 + b118 =L= 1;

e243..    b116 + b118 =L= 1;

e244..    b117 + b118 =L= 1;

e245..    b119 + b120 =L= 1;

e246..    b119 + b121 =L= 1;

e247..    b119 + b120 =L= 1;

e248..    b120 + b121 =L= 1;

e249..    b119 + b121 =L= 1;

e250..    b120 + b121 =L= 1;

e251..    b122 + b123 =L= 1;

e252..    b122 + b124 =L= 1;

e253..    b122 + b123 =L= 1;

e254..    b123 + b124 =L= 1;

e255..    b122 + b124 =L= 1;

e256..    b123 + b124 =L= 1;

e257..    b125 + b126 =L= 1;

e258..    b125 + b127 =L= 1;

e259..    b125 + b126 =L= 1;

e260..    b126 + b127 =L= 1;

e261..    b125 + b127 =L= 1;

e262..    b126 + b127 =L= 1;

e263..    b128 + b129 =L= 1;

e264..    b128 + b130 =L= 1;

e265..    b128 + b129 =L= 1;

e266..    b129 + b130 =L= 1;

e267..    b128 + b130 =L= 1;

e268..    b129 + b130 =L= 1;

e269..    b131 + b132 =L= 1;

e270..    b131 + b133 =L= 1;

e271..    b131 + b132 =L= 1;

e272..    b132 + b133 =L= 1;

e273..    b131 + b133 =L= 1;

e274..    b132 + b133 =L= 1;

e275..    b134 + b135 =L= 1;

e276..    b134 + b136 =L= 1;

e277..    b134 + b135 =L= 1;

e278..    b135 + b136 =L= 1;

e279..    b134 + b136 =L= 1;

e280..    b135 + b136 =L= 1;

e281..    b77 - b107 =L= 0;

e282..  - b77 + b78 - b108 =L= 0;

e283..  - b77 - b78 + b79 - b109 =L= 0;

e284..    b80 - b110 =L= 0;

e285..  - b80 + b81 - b111 =L= 0;

e286..  - b80 - b81 + b82 - b112 =L= 0;

e287..    b83 - b113 =L= 0;

e288..  - b83 + b84 - b114 =L= 0;

e289..  - b83 - b84 + b85 - b115 =L= 0;

e290..    b86 - b116 =L= 0;

e291..  - b86 + b87 - b117 =L= 0;

e292..  - b86 - b87 + b88 - b118 =L= 0;

e293..    b89 - b119 =L= 0;

e294..  - b89 + b90 - b120 =L= 0;

e295..  - b89 - b90 + b91 - b121 =L= 0;

e296..    b92 - b122 =L= 0;

e297..  - b92 + b93 - b123 =L= 0;

e298..  - b92 - b93 + b94 - b124 =L= 0;

e299..    b95 - b125 =L= 0;

e300..  - b95 + b96 - b126 =L= 0;

e301..  - b95 - b96 + b97 - b127 =L= 0;

e302..    b98 - b128 =L= 0;

e303..  - b98 + b99 - b129 =L= 0;

e304..  - b98 - b99 + b100 - b130 =L= 0;

e305..    b101 - b131 =L= 0;

e306..  - b101 + b102 - b132 =L= 0;

e307..  - b101 - b102 + b103 - b133 =L= 0;

e308..    b104 - b134 =L= 0;

e309..  - b104 + b105 - b135 =L= 0;

e310..  - b104 - b105 + b106 - b136 =L= 0;

e311..    b77 + b80 =E= 1;

e312..    b78 + b81 =E= 1;

e313..    b79 + b82 =E= 1;

e314..  - b83 + b92 + b95 =G= 0;

e315..  - b84 + b93 + b96 =G= 0;

e316..  - b85 + b94 + b97 =G= 0;

e317..  - b86 + b98 =G= 0;

e318..  - b87 + b99 =G= 0;

e319..  - b88 + b100 =G= 0;

e320..    b77 + b80 - b83 =G= 0;

e321..    b78 + b81 - b84 =G= 0;

e322..    b79 + b82 - b85 =G= 0;

e323..    b77 + b80 - b86 =G= 0;

e324..    b78 + b81 - b87 =G= 0;

e325..    b79 + b82 - b88 =G= 0;

e326..    b77 + b80 - b89 =G= 0;

e327..    b78 + b81 - b90 =G= 0;

e328..    b79 + b82 - b91 =G= 0;

e329..    b83 - b92 =G= 0;

e330..    b84 - b93 =G= 0;

e331..    b85 - b94 =G= 0;

e332..    b83 - b95 =G= 0;

e333..    b84 - b96 =G= 0;

e334..    b85 - b97 =G= 0;

e335..    b86 - b98 =G= 0;

e336..    b87 - b99 =G= 0;

e337..    b88 - b100 =G= 0;

e338..    b89 - b101 =G= 0;

e339..    b90 - b102 =G= 0;

e340..    b91 - b103 =G= 0;

e341..    b89 - b104 =G= 0;

e342..    b90 - b105 =G= 0;

e343..    b91 - b106 =G= 0;

* set non-default bounds
x2.up = 40;
x3.up = 40;
x4.up = 40;
x35.up = 30;
x36.up = 30;
x37.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: 2022-08-11 Git hash: f176bd52
Imprint / Privacy Policy / License: CC-BY 4.0