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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Removed Instance syn05m04h

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)
5510.38808300 p1 ( gdx sol )
(infeas: 3e-15)
Other points (infeas > 1e-08)  
Dual Bounds
5510.89820400 (ALPHAECP)
5510.39529200 (ANTIGONE)
5510.38810000 (BARON)
5510.38808300 (BONMIN)
5510.38808300 (COUENNE)
5510.38808300 (LINDO)
5510.38844800 (SCIP)
5510.38861100 (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 Syn05M04H.gms from CMU-IBM MINLP solver project page
Application Synthesis of processing system
Added to library 28 Sep 2013
Removed from library 16 Feb 2022
Removed because Superseded by syn05m04hfsg.
Problem type MBNLP
#Variables 208
#Binary Variables 40
#Integer Variables 0
#Nonlinear Variables 36
#Nonlinear Binary Variables 12
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 44
#Nonlinear Nonzeros in Objective 0
#Constraints 362
#Linear Constraints 350
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 12
Operands in Gen. Nonlin. Functions div log mul
Constraints curvature convex
#Nonzeros in Jacobian 798
#Nonlinear Nonzeros in Jacobian 36
#Nonzeros in (Upper-Left) Hessian of Lagrangian 72
#Nonzeros in Diagonal of Hessian of Lagrangian 24
#Blocks in Hessian of Lagrangian 12
Minimal blocksize in Hessian of Lagrangian 3
Maximal blocksize in Hessian of Lagrangian 3
Average blocksize in Hessian of Lagrangian 3.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.0000e-06
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
*        363      141       12      210        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        209      169       40        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*        843      807       36        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,x102
          ,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115
          ,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128
          ,x129,x130,x131,x132,x133,x134,x135,x136,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,x167
          ,x168,x169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180
          ,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193
          ,b194,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206
          ,b207,b208,b209;

Positive Variables  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,x102
          ,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115
          ,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128
          ,x129,x130,x131,x132,x133,x134,x135,x136,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,x167
          ,x168,x169;

Binary Variables  b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180,b181
          ,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193,b194
          ,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206,b207
          ,b208,b209;

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;


e1..    objvar + x22 + x23 + x24 + x25 - 5*x46 - 10*x47 - 5*x48 - 10*x49
      + 2*x66 + x67 + 2*x68 + x69 - 80*x70 - 90*x71 - 120*x72 - 100*x73
      - 285*x74 - 390*x75 - 350*x76 - 300*x77 - 290*x78 - 405*x79 - 190*x80
      - 340*x81 + 5*b190 + 4*b191 + 6*b192 + 3*b193 + 8*b194 + 7*b195 + 6*b196
      + 5*b197 + 6*b198 + 9*b199 + 4*b200 + 3*b201 + 10*b202 + 9*b203 + 5*b204
      + 6*b205 + 6*b206 + 10*b207 + 6*b208 + 9*b209 =E= 0;

e2..    x22 - x26 - x30 =E= 0;

e3..    x23 - x27 - x31 =E= 0;

e4..    x24 - x28 - x32 =E= 0;

e5..    x25 - x29 - x33 =E= 0;

e6..  - x34 - x38 + x42 =E= 0;

e7..  - x35 - x39 + x43 =E= 0;

e8..  - x36 - x40 + x44 =E= 0;

e9..  - x37 - x41 + x45 =E= 0;

e10..    x42 - x46 - x50 =E= 0;

e11..    x43 - x47 - x51 =E= 0;

e12..    x44 - x48 - x52 =E= 0;

e13..    x45 - x49 - x53 =E= 0;

e14..    x50 - x54 - x58 - x62 =E= 0;

e15..    x51 - x55 - x59 - x63 =E= 0;

e16..    x52 - x56 - x60 - x64 =E= 0;

e17..    x53 - x57 - x61 - x65 =E= 0;

e18.. (x98/(1e-6 + b170) - log(1 + x82/(1e-6 + b170)))*(1e-6 + b170) =L= 0;

e19.. (x99/(1e-6 + b171) - log(1 + x83/(1e-6 + b171)))*(1e-6 + b171) =L= 0;

e20.. (x100/(1e-6 + b172) - log(1 + x84/(1e-6 + b172)))*(1e-6 + b172) =L= 0;

e21.. (x101/(1e-6 + b173) - log(1 + x85/(1e-6 + b173)))*(1e-6 + b173) =L= 0;

e22..    x86 =E= 0;

e23..    x87 =E= 0;

e24..    x88 =E= 0;

e25..    x89 =E= 0;

e26..    x102 =E= 0;

e27..    x103 =E= 0;

e28..    x104 =E= 0;

e29..    x105 =E= 0;

e30..    x26 - x82 - x86 =E= 0;

e31..    x27 - x83 - x87 =E= 0;

e32..    x28 - x84 - x88 =E= 0;

e33..    x29 - x85 - x89 =E= 0;

e34..    x34 - x98 - x102 =E= 0;

e35..    x35 - x99 - x103 =E= 0;

e36..    x36 - x100 - x104 =E= 0;

e37..    x37 - x101 - x105 =E= 0;

e38..    x82 - 40*b170 =L= 0;

e39..    x83 - 40*b171 =L= 0;

e40..    x84 - 40*b172 =L= 0;

e41..    x85 - 40*b173 =L= 0;

e42..    x86 + 40*b170 =L= 40;

e43..    x87 + 40*b171 =L= 40;

e44..    x88 + 40*b172 =L= 40;

e45..    x89 + 40*b173 =L= 40;

e46..    x98 - 3.71357206670431*b170 =L= 0;

e47..    x99 - 3.71357206670431*b171 =L= 0;

e48..    x100 - 3.71357206670431*b172 =L= 0;

e49..    x101 - 3.71357206670431*b173 =L= 0;

e50..    x102 + 3.71357206670431*b170 =L= 3.71357206670431;

e51..    x103 + 3.71357206670431*b171 =L= 3.71357206670431;

e52..    x104 + 3.71357206670431*b172 =L= 3.71357206670431;

e53..    x105 + 3.71357206670431*b173 =L= 3.71357206670431;

e54.. (x106/(1e-6 + b174) - 1.2*log(1 + x90/(1e-6 + b174)))*(1e-6 + b174) =L= 0
      ;

e55.. (x107/(1e-6 + b175) - 1.2*log(1 + x91/(1e-6 + b175)))*(1e-6 + b175) =L= 0
      ;

e56.. (x108/(1e-6 + b176) - 1.2*log(1 + x92/(1e-6 + b176)))*(1e-6 + b176) =L= 0
      ;

e57.. (x109/(1e-6 + b177) - 1.2*log(1 + x93/(1e-6 + b177)))*(1e-6 + b177) =L= 0
      ;

e58..    x94 =E= 0;

e59..    x95 =E= 0;

e60..    x96 =E= 0;

e61..    x97 =E= 0;

e62..    x110 =E= 0;

e63..    x111 =E= 0;

e64..    x112 =E= 0;

e65..    x113 =E= 0;

e66..    x30 - x90 - x94 =E= 0;

e67..    x31 - x91 - x95 =E= 0;

e68..    x32 - x92 - x96 =E= 0;

e69..    x33 - x93 - x97 =E= 0;

e70..    x38 - x106 - x110 =E= 0;

e71..    x39 - x107 - x111 =E= 0;

e72..    x40 - x108 - x112 =E= 0;

e73..    x41 - x109 - x113 =E= 0;

e74..    x90 - 40*b174 =L= 0;

e75..    x91 - 40*b175 =L= 0;

e76..    x92 - 40*b176 =L= 0;

e77..    x93 - 40*b177 =L= 0;

e78..    x94 + 40*b174 =L= 40;

e79..    x95 + 40*b175 =L= 40;

e80..    x96 + 40*b176 =L= 40;

e81..    x97 + 40*b177 =L= 40;

e82..    x106 - 4.45628648004517*b174 =L= 0;

e83..    x107 - 4.45628648004517*b175 =L= 0;

e84..    x108 - 4.45628648004517*b176 =L= 0;

e85..    x109 - 4.45628648004517*b177 =L= 0;

e86..    x110 + 4.45628648004517*b174 =L= 4.45628648004517;

e87..    x111 + 4.45628648004517*b175 =L= 4.45628648004517;

e88..    x112 + 4.45628648004517*b176 =L= 4.45628648004517;

e89..    x113 + 4.45628648004517*b177 =L= 4.45628648004517;

e90..  - 0.75*x114 + x146 =E= 0;

e91..  - 0.75*x115 + x147 =E= 0;

e92..  - 0.75*x116 + x148 =E= 0;

e93..  - 0.75*x117 + x149 =E= 0;

e94..    x118 =E= 0;

e95..    x119 =E= 0;

e96..    x120 =E= 0;

e97..    x121 =E= 0;

e98..    x150 =E= 0;

e99..    x151 =E= 0;

e100..    x152 =E= 0;

e101..    x153 =E= 0;

e102..    x54 - x114 - x118 =E= 0;

e103..    x55 - x115 - x119 =E= 0;

e104..    x56 - x116 - x120 =E= 0;

e105..    x57 - x117 - x121 =E= 0;

e106..    x70 - x146 - x150 =E= 0;

e107..    x71 - x147 - x151 =E= 0;

e108..    x72 - x148 - x152 =E= 0;

e109..    x73 - x149 - x153 =E= 0;

e110..    x114 - 4.45628648004517*b178 =L= 0;

e111..    x115 - 4.45628648004517*b179 =L= 0;

e112..    x116 - 4.45628648004517*b180 =L= 0;

e113..    x117 - 4.45628648004517*b181 =L= 0;

e114..    x118 + 4.45628648004517*b178 =L= 4.45628648004517;

e115..    x119 + 4.45628648004517*b179 =L= 4.45628648004517;

e116..    x120 + 4.45628648004517*b180 =L= 4.45628648004517;

e117..    x121 + 4.45628648004517*b181 =L= 4.45628648004517;

e118..    x146 - 3.34221486003388*b178 =L= 0;

e119..    x147 - 3.34221486003388*b179 =L= 0;

e120..    x148 - 3.34221486003388*b180 =L= 0;

e121..    x149 - 3.34221486003388*b181 =L= 0;

e122..    x150 + 3.34221486003388*b178 =L= 3.34221486003388;

e123..    x151 + 3.34221486003388*b179 =L= 3.34221486003388;

e124..    x152 + 3.34221486003388*b180 =L= 3.34221486003388;

e125..    x153 + 3.34221486003388*b181 =L= 3.34221486003388;

e126.. (x154/(1e-6 + b182) - 1.5*log(1 + x122/(1e-6 + b182)))*(1e-6 + b182)
        =L= 0;

e127.. (x155/(1e-6 + b183) - 1.5*log(1 + x123/(1e-6 + b183)))*(1e-6 + b183)
        =L= 0;

e128.. (x156/(1e-6 + b184) - 1.5*log(1 + x124/(1e-6 + b184)))*(1e-6 + b184)
        =L= 0;

e129.. (x157/(1e-6 + b185) - 1.5*log(1 + x125/(1e-6 + b185)))*(1e-6 + b185)
        =L= 0;

e130..    x126 =E= 0;

e131..    x127 =E= 0;

e132..    x128 =E= 0;

e133..    x129 =E= 0;

e134..    x158 =E= 0;

e135..    x159 =E= 0;

e136..    x160 =E= 0;

e137..    x161 =E= 0;

e138..    x58 - x122 - x126 =E= 0;

e139..    x59 - x123 - x127 =E= 0;

e140..    x60 - x124 - x128 =E= 0;

e141..    x61 - x125 - x129 =E= 0;

e142..    x74 - x154 - x158 =E= 0;

e143..    x75 - x155 - x159 =E= 0;

e144..    x76 - x156 - x160 =E= 0;

e145..    x77 - x157 - x161 =E= 0;

e146..    x122 - 4.45628648004517*b182 =L= 0;

e147..    x123 - 4.45628648004517*b183 =L= 0;

e148..    x124 - 4.45628648004517*b184 =L= 0;

e149..    x125 - 4.45628648004517*b185 =L= 0;

e150..    x126 + 4.45628648004517*b182 =L= 4.45628648004517;

e151..    x127 + 4.45628648004517*b183 =L= 4.45628648004517;

e152..    x128 + 4.45628648004517*b184 =L= 4.45628648004517;

e153..    x129 + 4.45628648004517*b185 =L= 4.45628648004517;

e154..    x154 - 2.54515263975353*b182 =L= 0;

e155..    x155 - 2.54515263975353*b183 =L= 0;

e156..    x156 - 2.54515263975353*b184 =L= 0;

e157..    x157 - 2.54515263975353*b185 =L= 0;

e158..    x158 + 2.54515263975353*b182 =L= 2.54515263975353;

e159..    x159 + 2.54515263975353*b183 =L= 2.54515263975353;

e160..    x160 + 2.54515263975353*b184 =L= 2.54515263975353;

e161..    x161 + 2.54515263975353*b185 =L= 2.54515263975353;

e162..  - x130 + x162 =E= 0;

e163..  - x131 + x163 =E= 0;

e164..  - x132 + x164 =E= 0;

e165..  - x133 + x165 =E= 0;

e166..  - 0.5*x138 + x162 =E= 0;

e167..  - 0.5*x139 + x163 =E= 0;

e168..  - 0.5*x140 + x164 =E= 0;

e169..  - 0.5*x141 + x165 =E= 0;

e170..    x134 =E= 0;

e171..    x135 =E= 0;

e172..    x136 =E= 0;

e173..    x137 =E= 0;

e174..    x142 =E= 0;

e175..    x143 =E= 0;

e176..    x144 =E= 0;

e177..    x145 =E= 0;

e178..    x166 =E= 0;

e179..    x167 =E= 0;

e180..    x168 =E= 0;

e181..    x169 =E= 0;

e182..    x62 - x130 - x134 =E= 0;

e183..    x63 - x131 - x135 =E= 0;

e184..    x64 - x132 - x136 =E= 0;

e185..    x65 - x133 - x137 =E= 0;

e186..    x66 - x138 - x142 =E= 0;

e187..    x67 - x139 - x143 =E= 0;

e188..    x68 - x140 - x144 =E= 0;

e189..    x69 - x141 - x145 =E= 0;

e190..    x78 - x162 - x166 =E= 0;

e191..    x79 - x163 - x167 =E= 0;

e192..    x80 - x164 - x168 =E= 0;

e193..    x81 - x165 - x169 =E= 0;

e194..    x130 - 4.45628648004517*b186 =L= 0;

e195..    x131 - 4.45628648004517*b187 =L= 0;

e196..    x132 - 4.45628648004517*b188 =L= 0;

e197..    x133 - 4.45628648004517*b189 =L= 0;

e198..    x134 + 4.45628648004517*b186 =L= 4.45628648004517;

e199..    x135 + 4.45628648004517*b187 =L= 4.45628648004517;

e200..    x136 + 4.45628648004517*b188 =L= 4.45628648004517;

e201..    x137 + 4.45628648004517*b189 =L= 4.45628648004517;

e202..    x138 - 30*b186 =L= 0;

e203..    x139 - 30*b187 =L= 0;

e204..    x140 - 30*b188 =L= 0;

e205..    x141 - 30*b189 =L= 0;

e206..    x142 + 30*b186 =L= 30;

e207..    x143 + 30*b187 =L= 30;

e208..    x144 + 30*b188 =L= 30;

e209..    x145 + 30*b189 =L= 30;

e210..    x162 - 15*b186 =L= 0;

e211..    x163 - 15*b187 =L= 0;

e212..    x164 - 15*b188 =L= 0;

e213..    x165 - 15*b189 =L= 0;

e214..    x166 + 15*b186 =L= 15;

e215..    x167 + 15*b187 =L= 15;

e216..    x168 + 15*b188 =L= 15;

e217..    x169 + 15*b189 =L= 15;

e218..    x2 + 5*b190 =E= 0;

e219..    x3 + 4*b191 =E= 0;

e220..    x4 + 6*b192 =E= 0;

e221..    x5 + 3*b193 =E= 0;

e222..    x6 + 8*b194 =E= 0;

e223..    x7 + 7*b195 =E= 0;

e224..    x8 + 6*b196 =E= 0;

e225..    x9 + 5*b197 =E= 0;

e226..    x10 + 6*b198 =E= 0;

e227..    x11 + 9*b199 =E= 0;

e228..    x12 + 4*b200 =E= 0;

e229..    x13 + 3*b201 =E= 0;

e230..    x14 + 10*b202 =E= 0;

e231..    x15 + 9*b203 =E= 0;

e232..    x16 + 5*b204 =E= 0;

e233..    x17 + 6*b205 =E= 0;

e234..    x18 + 6*b206 =E= 0;

e235..    x19 + 10*b207 =E= 0;

e236..    x20 + 6*b208 =E= 0;

e237..    x21 + 9*b209 =E= 0;

e238..    b170 - b171 =L= 0;

e239..    b170 - b172 =L= 0;

e240..    b170 - b173 =L= 0;

e241..    b171 - b172 =L= 0;

e242..    b171 - b173 =L= 0;

e243..    b172 - b173 =L= 0;

e244..    b174 - b175 =L= 0;

e245..    b174 - b176 =L= 0;

e246..    b174 - b177 =L= 0;

e247..    b175 - b176 =L= 0;

e248..    b175 - b177 =L= 0;

e249..    b176 - b177 =L= 0;

e250..    b178 - b179 =L= 0;

e251..    b178 - b180 =L= 0;

e252..    b178 - b181 =L= 0;

e253..    b179 - b180 =L= 0;

e254..    b179 - b181 =L= 0;

e255..    b180 - b181 =L= 0;

e256..    b182 - b183 =L= 0;

e257..    b182 - b184 =L= 0;

e258..    b182 - b185 =L= 0;

e259..    b183 - b184 =L= 0;

e260..    b183 - b185 =L= 0;

e261..    b184 - b185 =L= 0;

e262..    b186 - b187 =L= 0;

e263..    b186 - b188 =L= 0;

e264..    b186 - b189 =L= 0;

e265..    b187 - b188 =L= 0;

e266..    b187 - b189 =L= 0;

e267..    b188 - b189 =L= 0;

e268..    b190 + b191 =L= 1;

e269..    b190 + b192 =L= 1;

e270..    b190 + b193 =L= 1;

e271..    b190 + b191 =L= 1;

e272..    b191 + b192 =L= 1;

e273..    b191 + b193 =L= 1;

e274..    b190 + b192 =L= 1;

e275..    b191 + b192 =L= 1;

e276..    b192 + b193 =L= 1;

e277..    b190 + b193 =L= 1;

e278..    b191 + b193 =L= 1;

e279..    b192 + b193 =L= 1;

e280..    b194 + b195 =L= 1;

e281..    b194 + b196 =L= 1;

e282..    b194 + b197 =L= 1;

e283..    b194 + b195 =L= 1;

e284..    b195 + b196 =L= 1;

e285..    b195 + b197 =L= 1;

e286..    b194 + b196 =L= 1;

e287..    b195 + b196 =L= 1;

e288..    b196 + b197 =L= 1;

e289..    b194 + b197 =L= 1;

e290..    b195 + b197 =L= 1;

e291..    b196 + b197 =L= 1;

e292..    b198 + b199 =L= 1;

e293..    b198 + b200 =L= 1;

e294..    b198 + b201 =L= 1;

e295..    b198 + b199 =L= 1;

e296..    b199 + b200 =L= 1;

e297..    b199 + b201 =L= 1;

e298..    b198 + b200 =L= 1;

e299..    b199 + b200 =L= 1;

e300..    b200 + b201 =L= 1;

e301..    b198 + b201 =L= 1;

e302..    b199 + b201 =L= 1;

e303..    b200 + b201 =L= 1;

e304..    b202 + b203 =L= 1;

e305..    b202 + b204 =L= 1;

e306..    b202 + b205 =L= 1;

e307..    b202 + b203 =L= 1;

e308..    b203 + b204 =L= 1;

e309..    b203 + b205 =L= 1;

e310..    b202 + b204 =L= 1;

e311..    b203 + b204 =L= 1;

e312..    b204 + b205 =L= 1;

e313..    b202 + b205 =L= 1;

e314..    b203 + b205 =L= 1;

e315..    b204 + b205 =L= 1;

e316..    b206 + b207 =L= 1;

e317..    b206 + b208 =L= 1;

e318..    b206 + b209 =L= 1;

e319..    b206 + b207 =L= 1;

e320..    b207 + b208 =L= 1;

e321..    b207 + b209 =L= 1;

e322..    b206 + b208 =L= 1;

e323..    b207 + b208 =L= 1;

e324..    b208 + b209 =L= 1;

e325..    b206 + b209 =L= 1;

e326..    b207 + b209 =L= 1;

e327..    b208 + b209 =L= 1;

e328..    b170 - b190 =L= 0;

e329..  - b170 + b171 - b191 =L= 0;

e330..  - b170 - b171 + b172 - b192 =L= 0;

e331..  - b170 - b171 - b172 + b173 - b193 =L= 0;

e332..    b174 - b194 =L= 0;

e333..  - b174 + b175 - b195 =L= 0;

e334..  - b174 - b175 + b176 - b196 =L= 0;

e335..  - b174 - b175 - b176 + b177 - b197 =L= 0;

e336..    b178 - b198 =L= 0;

e337..  - b178 + b179 - b199 =L= 0;

e338..  - b178 - b179 + b180 - b200 =L= 0;

e339..  - b178 - b179 - b180 + b181 - b201 =L= 0;

e340..    b182 - b202 =L= 0;

e341..  - b182 + b183 - b203 =L= 0;

e342..  - b182 - b183 + b184 - b204 =L= 0;

e343..  - b182 - b183 - b184 + b185 - b205 =L= 0;

e344..    b186 - b206 =L= 0;

e345..  - b186 + b187 - b207 =L= 0;

e346..  - b186 - b187 + b188 - b208 =L= 0;

e347..  - b186 - b187 - b188 + b189 - b209 =L= 0;

e348..    b170 + b174 =E= 1;

e349..    b171 + b175 =E= 1;

e350..    b172 + b176 =E= 1;

e351..    b173 + b177 =E= 1;

e352..    b170 + b174 - b178 =G= 0;

e353..    b171 + b175 - b179 =G= 0;

e354..    b172 + b176 - b180 =G= 0;

e355..    b173 + b177 - b181 =G= 0;

e356..    b170 + b174 - b182 =G= 0;

e357..    b171 + b175 - b183 =G= 0;

e358..    b172 + b176 - b184 =G= 0;

e359..    b173 + b177 - b185 =G= 0;

e360..    b170 + b174 - b186 =G= 0;

e361..    b171 + b175 - b187 =G= 0;

e362..    b172 + b176 - b188 =G= 0;

e363..    b173 + b177 - b189 =G= 0;

* set non-default bounds
x22.up = 40;
x23.up = 40;
x24.up = 40;
x25.up = 40;
x66.up = 30;
x67.up = 30;
x68.up = 30;
x69.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
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