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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: syn15m03m

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
Primal Bounds (infeas ≤ 1e-08)
3850.18177500 p1 ( gdx sol )
(infeas: 4e-14)
Other points (infeas > 1e-08)  
Dual Bounds
3850.18300000 (ALPHAECP)
3850.18205000 (ANTIGONE)
3850.18178000 (BARON)
3850.18181000 (COUENNE)
3850.18180000 (LINDO)
3850.18225400 (SCIP)
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 Syn15M03M.gms from CMU-IBM MINLP solver project page
Application Synthesis of processing system
Added to library 28 Sep 2013
Problem type MBNLP
#Variables 255
#Binary Variables 90
#Integer Variables 0
#Nonlinear Variables 33
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 78
#Nonlinear Nonzeros in Objective 0
#Constraints 537
#Linear Constraints 504
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 33
Operands in Gen. Nonlin. Functions log
Constraints curvature convex
#Nonzeros in Jacobian 1254
#Nonlinear Nonzeros in Jacobian 33
#Nonzeros in (Upper-Left) Hessian of Lagrangian 33
#Nonzeros in Diagonal of Hessian of Lagrangian 33
#Blocks in Hessian of Lagrangian 33
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
*        538       34      126      378        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        256      166       90        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1333     1300       33        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,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,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,b210,b211,x212,x213,x214,x215,x216,x217,x218,x219
          ,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232
          ,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245
          ,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256;

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
          ,x102,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114
          ,x115,x116,x117,x118,x119,x120,x121;

Binary Variables  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,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,b210,b211;

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,e518,e519
          ,e520,e521,e522,e523,e524,e525,e526,e527,e528,e529,e530,e531,e532
          ,e533,e534,e535,e536,e537,e538;


e1..    objvar + x2 + x3 + x4 - 5*x20 - 10*x21 - 5*x22 + 2*x35 + x36 + 2*x37
      - 500*x74 - 600*x75 - 350*x76 - 350*x77 - 400*x78 - 450*x79 + 10*x86
      + 5*x87 + 5*x88 + 5*x89 + 5*x90 + 5*x91 - 80*x110 - 130*x111 - 215*x112
      - 110*x113 - 120*x114 - 125*x115 - 110*x116 - 130*x117 - 140*x118
      - 80*x119 - 90*x120 - 120*x121 + 5*b167 + 4*b168 + 6*b169 + 8*b170
      + 7*b171 + 6*b172 + 6*b173 + 9*b174 + 4*b175 + 10*b176 + 9*b177 + 5*b178
      + 6*b179 + 10*b180 + 6*b181 + 7*b182 + 7*b183 + 4*b184 + 4*b185 + 3*b186
      + 2*b187 + 5*b188 + 6*b189 + 7*b190 + 2*b191 + 5*b192 + 2*b193 + 4*b194
      + 7*b195 + 4*b196 + 3*b197 + 9*b198 + 3*b199 + 7*b200 + 2*b201 + 9*b202
      + 3*b203 + b204 + 9*b205 + 2*b206 + 6*b207 + 3*b208 + 4*b209 + 8*b210
      + b211 =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..    x68 - x80 - x83 =E= 0;

e21..    x69 - x81 - x84 =E= 0;

e22..    x70 - x82 - x85 =E= 0;

e23..  - x71 - x89 + x92 =E= 0;

e24..  - x72 - x90 + x93 =E= 0;

e25..  - x73 - x91 + x94 =E= 0;

e26..    x74 - x95 - x98 =E= 0;

e27..    x75 - x96 - x99 =E= 0;

e28..    x76 - x97 - x100 =E= 0;

e29..    x77 - x101 - x104 - x107 =E= 0;

e30..    x78 - x102 - x105 - x108 =E= 0;

e31..    x79 - x103 - x106 - x109 =E= 0;

e32.. -log(1 + x5) + x11 + b122 =L= 1;

e33.. -log(1 + x6) + x12 + b123 =L= 1;

e34.. -log(1 + x7) + x13 + b124 =L= 1;

e35..    x5 - 40*b122 =L= 0;

e36..    x6 - 40*b123 =L= 0;

e37..    x7 - 40*b124 =L= 0;

e38..    x11 - 3.71357206670431*b122 =L= 0;

e39..    x12 - 3.71357206670431*b123 =L= 0;

e40..    x13 - 3.71357206670431*b124 =L= 0;

e41.. -1.2*log(1 + x8) + x14 + b125 =L= 1;

e42.. -1.2*log(1 + x9) + x15 + b126 =L= 1;

e43.. -1.2*log(1 + x10) + x16 + b127 =L= 1;

e44..    x8 - 40*b125 =L= 0;

e45..    x9 - 40*b126 =L= 0;

e46..    x10 - 40*b127 =L= 0;

e47..    x14 - 4.45628648004517*b125 =L= 0;

e48..    x15 - 4.45628648004517*b126 =L= 0;

e49..    x16 - 4.45628648004517*b127 =L= 0;

e50..  - 0.75*x26 + x38 + b128 =L= 1;

e51..  - 0.75*x27 + x39 + b129 =L= 1;

e52..  - 0.75*x28 + x40 + b130 =L= 1;

e53..  - 0.75*x26 + x38 - b128 =G= -1;

e54..  - 0.75*x27 + x39 - b129 =G= -1;

e55..  - 0.75*x28 + x40 - b130 =G= -1;

e56..    x26 - 4.45628648004517*b128 =L= 0;

e57..    x27 - 4.45628648004517*b129 =L= 0;

e58..    x28 - 4.45628648004517*b130 =L= 0;

e59..    x38 - 3.34221486003388*b128 =L= 0;

e60..    x39 - 3.34221486003388*b129 =L= 0;

e61..    x40 - 3.34221486003388*b130 =L= 0;

e62.. -1.5*log(1 + x29) + x41 + b131 =L= 1;

e63.. -1.5*log(1 + x30) + x42 + b132 =L= 1;

e64.. -1.5*log(1 + x31) + x43 + b133 =L= 1;

e65..    x29 - 4.45628648004517*b131 =L= 0;

e66..    x30 - 4.45628648004517*b132 =L= 0;

e67..    x31 - 4.45628648004517*b133 =L= 0;

e68..    x41 - 2.54515263975353*b131 =L= 0;

e69..    x42 - 2.54515263975353*b132 =L= 0;

e70..    x43 - 2.54515263975353*b133 =L= 0;

e71..  - x32 + x44 + b134 =L= 1;

e72..  - x33 + x45 + b135 =L= 1;

e73..  - x34 + x46 + b136 =L= 1;

e74..  - x32 + x44 - b134 =G= -1;

e75..  - x33 + x45 - b135 =G= -1;

e76..  - x34 + x46 - b136 =G= -1;

e77..  - 0.5*x35 + x44 + b134 =L= 1;

e78..  - 0.5*x36 + x45 + b135 =L= 1;

e79..  - 0.5*x37 + x46 + b136 =L= 1;

e80..  - 0.5*x35 + x44 - b134 =G= -1;

e81..  - 0.5*x36 + x45 - b135 =G= -1;

e82..  - 0.5*x37 + x46 - b136 =G= -1;

e83..    x32 - 4.45628648004517*b134 =L= 0;

e84..    x33 - 4.45628648004517*b135 =L= 0;

e85..    x34 - 4.45628648004517*b136 =L= 0;

e86..    x35 - 30*b134 =L= 0;

e87..    x36 - 30*b135 =L= 0;

e88..    x37 - 30*b136 =L= 0;

e89..    x44 - 15*b134 =L= 0;

e90..    x45 - 15*b135 =L= 0;

e91..    x46 - 15*b136 =L= 0;

e92.. -1.25*log(1 + x47) + x62 + b137 =L= 1;

e93.. -1.25*log(1 + x48) + x63 + b138 =L= 1;

e94.. -1.25*log(1 + x49) + x64 + b139 =L= 1;

e95..    x47 - 3.34221486003388*b137 =L= 0;

e96..    x48 - 3.34221486003388*b138 =L= 0;

e97..    x49 - 3.34221486003388*b139 =L= 0;

e98..    x62 - 1.83548069293539*b137 =L= 0;

e99..    x63 - 1.83548069293539*b138 =L= 0;

e100..    x64 - 1.83548069293539*b139 =L= 0;

e101.. -0.9*log(1 + x50) + x65 + b140 =L= 1;

e102.. -0.9*log(1 + x51) + x66 + b141 =L= 1;

e103.. -0.9*log(1 + x52) + x67 + b142 =L= 1;

e104..    x50 - 3.34221486003388*b140 =L= 0;

e105..    x51 - 3.34221486003388*b141 =L= 0;

e106..    x52 - 3.34221486003388*b142 =L= 0;

e107..    x65 - 1.32154609891348*b140 =L= 0;

e108..    x66 - 1.32154609891348*b141 =L= 0;

e109..    x67 - 1.32154609891348*b142 =L= 0;

e110.. -log(1 + x41) + x68 + b143 =L= 1;

e111.. -log(1 + x42) + x69 + b144 =L= 1;

e112.. -log(1 + x43) + x70 + b145 =L= 1;

e113..    x41 - 2.54515263975353*b143 =L= 0;

e114..    x42 - 2.54515263975353*b144 =L= 0;

e115..    x43 - 2.54515263975353*b145 =L= 0;

e116..    x68 - 1.26558121681553*b143 =L= 0;

e117..    x69 - 1.26558121681553*b144 =L= 0;

e118..    x70 - 1.26558121681553*b145 =L= 0;

e119..  - 0.9*x53 + x71 + b146 =L= 1;

e120..  - 0.9*x54 + x72 + b147 =L= 1;

e121..  - 0.9*x55 + x73 + b148 =L= 1;

e122..  - 0.9*x53 + x71 - b146 =G= -1;

e123..  - 0.9*x54 + x72 - b147 =G= -1;

e124..  - 0.9*x55 + x73 - b148 =G= -1;

e125..    x53 - 15*b146 =L= 0;

e126..    x54 - 15*b147 =L= 0;

e127..    x55 - 15*b148 =L= 0;

e128..    x71 - 13.5*b146 =L= 0;

e129..    x72 - 13.5*b147 =L= 0;

e130..    x73 - 13.5*b148 =L= 0;

e131..  - 0.6*x56 + x74 + b149 =L= 1;

e132..  - 0.6*x57 + x75 + b150 =L= 1;

e133..  - 0.6*x58 + x76 + b151 =L= 1;

e134..  - 0.6*x56 + x74 - b149 =G= -1;

e135..  - 0.6*x57 + x75 - b150 =G= -1;

e136..  - 0.6*x58 + x76 - b151 =G= -1;

e137..    x56 - 15*b149 =L= 0;

e138..    x57 - 15*b150 =L= 0;

e139..    x58 - 15*b151 =L= 0;

e140..    x74 - 9*b149 =L= 0;

e141..    x75 - 9*b150 =L= 0;

e142..    x76 - 9*b151 =L= 0;

e143.. -1.1*log(1 + x59) + x77 + b152 =L= 1;

e144.. -1.1*log(1 + x60) + x78 + b153 =L= 1;

e145.. -1.1*log(1 + x61) + x79 + b154 =L= 1;

e146..    x59 - 15*b152 =L= 0;

e147..    x60 - 15*b153 =L= 0;

e148..    x61 - 15*b154 =L= 0;

e149..    x77 - 3.04984759446376*b152 =L= 0;

e150..    x78 - 3.04984759446376*b153 =L= 0;

e151..    x79 - 3.04984759446376*b154 =L= 0;

e152..  - 0.9*x62 + x110 + b155 =L= 1;

e153..  - 0.9*x63 + x111 + b156 =L= 1;

e154..  - 0.9*x64 + x112 + b157 =L= 1;

e155..  - 0.9*x62 + x110 - b155 =G= -1;

e156..  - 0.9*x63 + x111 - b156 =G= -1;

e157..  - 0.9*x64 + x112 - b157 =G= -1;

e158..  - x86 + x110 + b155 =L= 1;

e159..  - x87 + x111 + b156 =L= 1;

e160..  - x88 + x112 + b157 =L= 1;

e161..  - x86 + x110 - b155 =G= -1;

e162..  - x87 + x111 - b156 =G= -1;

e163..  - x88 + x112 - b157 =G= -1;

e164..    x62 - 1.83548069293539*b155 =L= 0;

e165..    x63 - 1.83548069293539*b156 =L= 0;

e166..    x64 - 1.83548069293539*b157 =L= 0;

e167..    x86 - 20*b155 =L= 0;

e168..    x87 - 20*b156 =L= 0;

e169..    x88 - 20*b157 =L= 0;

e170..    x110 - 20*b155 =L= 0;

e171..    x111 - 20*b156 =L= 0;

e172..    x112 - 20*b157 =L= 0;

e173.. -log(1 + x65) + x113 + b158 =L= 1;

e174.. -log(1 + x66) + x114 + b159 =L= 1;

e175.. -log(1 + x67) + x115 + b160 =L= 1;

e176..    x65 - 1.32154609891348*b158 =L= 0;

e177..    x66 - 1.32154609891348*b159 =L= 0;

e178..    x67 - 1.32154609891348*b160 =L= 0;

e179..    x113 - 0.842233385663186*b158 =L= 0;

e180..    x114 - 0.842233385663186*b159 =L= 0;

e181..    x115 - 0.842233385663186*b160 =L= 0;

e182.. -0.7*log(1 + x80) + x116 + b161 =L= 1;

e183.. -0.7*log(1 + x81) + x117 + b162 =L= 1;

e184.. -0.7*log(1 + x82) + x118 + b163 =L= 1;

e185..    x80 - 1.26558121681553*b161 =L= 0;

e186..    x81 - 1.26558121681553*b162 =L= 0;

e187..    x82 - 1.26558121681553*b163 =L= 0;

e188..    x116 - 0.572481933717686*b161 =L= 0;

e189..    x117 - 0.572481933717686*b162 =L= 0;

e190..    x118 - 0.572481933717686*b163 =L= 0;

e191.. -0.65*log(1 + x83) + x119 + b164 =L= 1;

e192.. -0.65*log(1 + x84) + x120 + b165 =L= 1;

e193.. -0.65*log(1 + x85) + x121 + b166 =L= 1;

e194.. -0.65*log(1 + x92) + x119 + b164 =L= 1;

e195.. -0.65*log(1 + x93) + x120 + b165 =L= 1;

e196.. -0.65*log(1 + x94) + x121 + b166 =L= 1;

e197..    x83 - 1.26558121681553*b164 =L= 0;

e198..    x84 - 1.26558121681553*b165 =L= 0;

e199..    x85 - 1.26558121681553*b166 =L= 0;

e200..    x92 - 33.5*b164 =L= 0;

e201..    x93 - 33.5*b165 =L= 0;

e202..    x94 - 33.5*b166 =L= 0;

e203..    x119 - 2.30162356062425*b164 =L= 0;

e204..    x120 - 2.30162356062425*b165 =L= 0;

e205..    x121 - 2.30162356062425*b166 =L= 0;

e206..    5*b167 + x212 =L= 0;

e207..    4*b168 + x213 =L= 0;

e208..    6*b169 + x214 =L= 0;

e209..    8*b170 + x215 =L= 0;

e210..    7*b171 + x216 =L= 0;

e211..    6*b172 + x217 =L= 0;

e212..    6*b173 + x218 =L= 0;

e213..    9*b174 + x219 =L= 0;

e214..    4*b175 + x220 =L= 0;

e215..    10*b176 + x221 =L= 0;

e216..    9*b177 + x222 =L= 0;

e217..    5*b178 + x223 =L= 0;

e218..    6*b179 + x224 =L= 0;

e219..    10*b180 + x225 =L= 0;

e220..    6*b181 + x226 =L= 0;

e221..    7*b182 + x227 =L= 0;

e222..    7*b183 + x228 =L= 0;

e223..    4*b184 + x229 =L= 0;

e224..    4*b185 + x230 =L= 0;

e225..    3*b186 + x231 =L= 0;

e226..    2*b187 + x232 =L= 0;

e227..    5*b188 + x233 =L= 0;

e228..    6*b189 + x234 =L= 0;

e229..    7*b190 + x235 =L= 0;

e230..    2*b191 + x236 =L= 0;

e231..    5*b192 + x237 =L= 0;

e232..    2*b193 + x238 =L= 0;

e233..    4*b194 + x239 =L= 0;

e234..    7*b195 + x240 =L= 0;

e235..    4*b196 + x241 =L= 0;

e236..    3*b197 + x242 =L= 0;

e237..    9*b198 + x243 =L= 0;

e238..    3*b199 + x244 =L= 0;

e239..    7*b200 + x245 =L= 0;

e240..    2*b201 + x246 =L= 0;

e241..    9*b202 + x247 =L= 0;

e242..    3*b203 + x248 =L= 0;

e243..    b204 + x249 =L= 0;

e244..    9*b205 + x250 =L= 0;

e245..    2*b206 + x251 =L= 0;

e246..    6*b207 + x252 =L= 0;

e247..    3*b208 + x253 =L= 0;

e248..    4*b209 + x254 =L= 0;

e249..    8*b210 + x255 =L= 0;

e250..    b211 + x256 =L= 0;

e251..    5*b167 + x212 =G= 0;

e252..    4*b168 + x213 =G= 0;

e253..    6*b169 + x214 =G= 0;

e254..    8*b170 + x215 =G= 0;

e255..    7*b171 + x216 =G= 0;

e256..    6*b172 + x217 =G= 0;

e257..    6*b173 + x218 =G= 0;

e258..    9*b174 + x219 =G= 0;

e259..    4*b175 + x220 =G= 0;

e260..    10*b176 + x221 =G= 0;

e261..    9*b177 + x222 =G= 0;

e262..    5*b178 + x223 =G= 0;

e263..    6*b179 + x224 =G= 0;

e264..    10*b180 + x225 =G= 0;

e265..    6*b181 + x226 =G= 0;

e266..    7*b182 + x227 =G= 0;

e267..    7*b183 + x228 =G= 0;

e268..    4*b184 + x229 =G= 0;

e269..    4*b185 + x230 =G= 0;

e270..    3*b186 + x231 =G= 0;

e271..    2*b187 + x232 =G= 0;

e272..    5*b188 + x233 =G= 0;

e273..    6*b189 + x234 =G= 0;

e274..    7*b190 + x235 =G= 0;

e275..    2*b191 + x236 =G= 0;

e276..    5*b192 + x237 =G= 0;

e277..    2*b193 + x238 =G= 0;

e278..    4*b194 + x239 =G= 0;

e279..    7*b195 + x240 =G= 0;

e280..    4*b196 + x241 =G= 0;

e281..    3*b197 + x242 =G= 0;

e282..    9*b198 + x243 =G= 0;

e283..    3*b199 + x244 =G= 0;

e284..    7*b200 + x245 =G= 0;

e285..    2*b201 + x246 =G= 0;

e286..    9*b202 + x247 =G= 0;

e287..    3*b203 + x248 =G= 0;

e288..    b204 + x249 =G= 0;

e289..    9*b205 + x250 =G= 0;

e290..    2*b206 + x251 =G= 0;

e291..    6*b207 + x252 =G= 0;

e292..    3*b208 + x253 =G= 0;

e293..    4*b209 + x254 =G= 0;

e294..    8*b210 + x255 =G= 0;

e295..    b211 + x256 =G= 0;

e296..    b122 - b123 =L= 0;

e297..    b122 - b124 =L= 0;

e298..    b123 - b124 =L= 0;

e299..    b125 - b126 =L= 0;

e300..    b125 - b127 =L= 0;

e301..    b126 - b127 =L= 0;

e302..    b128 - b129 =L= 0;

e303..    b128 - b130 =L= 0;

e304..    b129 - b130 =L= 0;

e305..    b131 - b132 =L= 0;

e306..    b131 - b133 =L= 0;

e307..    b132 - b133 =L= 0;

e308..    b134 - b135 =L= 0;

e309..    b134 - b136 =L= 0;

e310..    b135 - b136 =L= 0;

e311..    b137 - b138 =L= 0;

e312..    b137 - b139 =L= 0;

e313..    b138 - b139 =L= 0;

e314..    b140 - b141 =L= 0;

e315..    b140 - b142 =L= 0;

e316..    b141 - b142 =L= 0;

e317..    b143 - b144 =L= 0;

e318..    b143 - b145 =L= 0;

e319..    b144 - b145 =L= 0;

e320..    b146 - b147 =L= 0;

e321..    b146 - b148 =L= 0;

e322..    b147 - b148 =L= 0;

e323..    b149 - b150 =L= 0;

e324..    b149 - b151 =L= 0;

e325..    b150 - b151 =L= 0;

e326..    b152 - b153 =L= 0;

e327..    b152 - b154 =L= 0;

e328..    b153 - b154 =L= 0;

e329..    b155 - b156 =L= 0;

e330..    b155 - b157 =L= 0;

e331..    b156 - b157 =L= 0;

e332..    b158 - b159 =L= 0;

e333..    b158 - b160 =L= 0;

e334..    b159 - b160 =L= 0;

e335..    b161 - b162 =L= 0;

e336..    b161 - b163 =L= 0;

e337..    b162 - b163 =L= 0;

e338..    b164 - b165 =L= 0;

e339..    b164 - b166 =L= 0;

e340..    b165 - b166 =L= 0;

e341..    b167 + b168 =L= 1;

e342..    b167 + b169 =L= 1;

e343..    b167 + b168 =L= 1;

e344..    b168 + b169 =L= 1;

e345..    b167 + b169 =L= 1;

e346..    b168 + b169 =L= 1;

e347..    b170 + b171 =L= 1;

e348..    b170 + b172 =L= 1;

e349..    b170 + b171 =L= 1;

e350..    b171 + b172 =L= 1;

e351..    b170 + b172 =L= 1;

e352..    b171 + b172 =L= 1;

e353..    b173 + b174 =L= 1;

e354..    b173 + b175 =L= 1;

e355..    b173 + b174 =L= 1;

e356..    b174 + b175 =L= 1;

e357..    b173 + b175 =L= 1;

e358..    b174 + b175 =L= 1;

e359..    b176 + b177 =L= 1;

e360..    b176 + b178 =L= 1;

e361..    b176 + b177 =L= 1;

e362..    b177 + b178 =L= 1;

e363..    b176 + b178 =L= 1;

e364..    b177 + b178 =L= 1;

e365..    b179 + b180 =L= 1;

e366..    b179 + b181 =L= 1;

e367..    b179 + b180 =L= 1;

e368..    b180 + b181 =L= 1;

e369..    b179 + b181 =L= 1;

e370..    b180 + b181 =L= 1;

e371..    b182 + b183 =L= 1;

e372..    b182 + b184 =L= 1;

e373..    b182 + b183 =L= 1;

e374..    b183 + b184 =L= 1;

e375..    b182 + b184 =L= 1;

e376..    b183 + b184 =L= 1;

e377..    b185 + b186 =L= 1;

e378..    b185 + b187 =L= 1;

e379..    b185 + b186 =L= 1;

e380..    b186 + b187 =L= 1;

e381..    b185 + b187 =L= 1;

e382..    b186 + b187 =L= 1;

e383..    b188 + b189 =L= 1;

e384..    b188 + b190 =L= 1;

e385..    b188 + b189 =L= 1;

e386..    b189 + b190 =L= 1;

e387..    b188 + b190 =L= 1;

e388..    b189 + b190 =L= 1;

e389..    b191 + b192 =L= 1;

e390..    b191 + b193 =L= 1;

e391..    b191 + b192 =L= 1;

e392..    b192 + b193 =L= 1;

e393..    b191 + b193 =L= 1;

e394..    b192 + b193 =L= 1;

e395..    b194 + b195 =L= 1;

e396..    b194 + b196 =L= 1;

e397..    b194 + b195 =L= 1;

e398..    b195 + b196 =L= 1;

e399..    b194 + b196 =L= 1;

e400..    b195 + b196 =L= 1;

e401..    b197 + b198 =L= 1;

e402..    b197 + b199 =L= 1;

e403..    b197 + b198 =L= 1;

e404..    b198 + b199 =L= 1;

e405..    b197 + b199 =L= 1;

e406..    b198 + b199 =L= 1;

e407..    b200 + b201 =L= 1;

e408..    b200 + b202 =L= 1;

e409..    b200 + b201 =L= 1;

e410..    b201 + b202 =L= 1;

e411..    b200 + b202 =L= 1;

e412..    b201 + b202 =L= 1;

e413..    b203 + b204 =L= 1;

e414..    b203 + b205 =L= 1;

e415..    b203 + b204 =L= 1;

e416..    b204 + b205 =L= 1;

e417..    b203 + b205 =L= 1;

e418..    b204 + b205 =L= 1;

e419..    b206 + b207 =L= 1;

e420..    b206 + b208 =L= 1;

e421..    b206 + b207 =L= 1;

e422..    b207 + b208 =L= 1;

e423..    b206 + b208 =L= 1;

e424..    b207 + b208 =L= 1;

e425..    b209 + b210 =L= 1;

e426..    b209 + b211 =L= 1;

e427..    b209 + b210 =L= 1;

e428..    b210 + b211 =L= 1;

e429..    b209 + b211 =L= 1;

e430..    b210 + b211 =L= 1;

e431..    b122 - b167 =L= 0;

e432..  - b122 + b123 - b168 =L= 0;

e433..  - b122 - b123 + b124 - b169 =L= 0;

e434..    b125 - b170 =L= 0;

e435..  - b125 + b126 - b171 =L= 0;

e436..  - b125 - b126 + b127 - b172 =L= 0;

e437..    b128 - b173 =L= 0;

e438..  - b128 + b129 - b174 =L= 0;

e439..  - b128 - b129 + b130 - b175 =L= 0;

e440..    b131 - b176 =L= 0;

e441..  - b131 + b132 - b177 =L= 0;

e442..  - b131 - b132 + b133 - b178 =L= 0;

e443..    b134 - b179 =L= 0;

e444..  - b134 + b135 - b180 =L= 0;

e445..  - b134 - b135 + b136 - b181 =L= 0;

e446..    b137 - b182 =L= 0;

e447..  - b137 + b138 - b183 =L= 0;

e448..  - b137 - b138 + b139 - b184 =L= 0;

e449..    b140 - b185 =L= 0;

e450..  - b140 + b141 - b186 =L= 0;

e451..  - b140 - b141 + b142 - b187 =L= 0;

e452..    b143 - b188 =L= 0;

e453..  - b143 + b144 - b189 =L= 0;

e454..  - b143 - b144 + b145 - b190 =L= 0;

e455..    b146 - b191 =L= 0;

e456..  - b146 + b147 - b192 =L= 0;

e457..  - b146 - b147 + b148 - b193 =L= 0;

e458..    b149 - b194 =L= 0;

e459..  - b149 + b150 - b195 =L= 0;

e460..  - b149 - b150 + b151 - b196 =L= 0;

e461..    b152 - b197 =L= 0;

e462..  - b152 + b153 - b198 =L= 0;

e463..  - b152 - b153 + b154 - b199 =L= 0;

e464..    b155 - b200 =L= 0;

e465..  - b155 + b156 - b201 =L= 0;

e466..  - b155 - b156 + b157 - b202 =L= 0;

e467..    b158 - b203 =L= 0;

e468..  - b158 + b159 - b204 =L= 0;

e469..  - b158 - b159 + b160 - b205 =L= 0;

e470..    b161 - b206 =L= 0;

e471..  - b161 + b162 - b207 =L= 0;

e472..  - b161 - b162 + b163 - b208 =L= 0;

e473..    b164 - b209 =L= 0;

e474..  - b164 + b165 - b210 =L= 0;

e475..  - b164 - b165 + b166 - b211 =L= 0;

e476..    b122 + b125 =E= 1;

e477..    b123 + b126 =E= 1;

e478..    b124 + b127 =E= 1;

e479..  - b128 + b137 + b140 =G= 0;

e480..  - b129 + b138 + b141 =G= 0;

e481..  - b130 + b139 + b142 =G= 0;

e482..  - b137 + b155 =G= 0;

e483..  - b138 + b156 =G= 0;

e484..  - b139 + b157 =G= 0;

e485..  - b140 + b158 =G= 0;

e486..  - b141 + b159 =G= 0;

e487..  - b142 + b160 =G= 0;

e488..  - b131 + b143 =G= 0;

e489..  - b132 + b144 =G= 0;

e490..  - b133 + b145 =G= 0;

e491..  - b143 + b161 + b164 =G= 0;

e492..  - b144 + b162 + b165 =G= 0;

e493..  - b145 + b163 + b166 =G= 0;

e494..  - b134 + b146 + b149 + b152 =G= 0;

e495..  - b135 + b147 + b150 + b153 =G= 0;

e496..  - b136 + b148 + b151 + b154 =G= 0;

e497..  - b146 + b164 =G= 0;

e498..  - b147 + b165 =G= 0;

e499..  - b148 + b166 =G= 0;

e500..    b122 + b125 - b128 =G= 0;

e501..    b123 + b126 - b129 =G= 0;

e502..    b124 + b127 - b130 =G= 0;

e503..    b122 + b125 - b131 =G= 0;

e504..    b123 + b126 - b132 =G= 0;

e505..    b124 + b127 - b133 =G= 0;

e506..    b122 + b125 - b134 =G= 0;

e507..    b123 + b126 - b135 =G= 0;

e508..    b124 + b127 - b136 =G= 0;

e509..    b128 - b137 =G= 0;

e510..    b129 - b138 =G= 0;

e511..    b130 - b139 =G= 0;

e512..    b128 - b140 =G= 0;

e513..    b129 - b141 =G= 0;

e514..    b130 - b142 =G= 0;

e515..    b131 - b143 =G= 0;

e516..    b132 - b144 =G= 0;

e517..    b133 - b145 =G= 0;

e518..    b134 - b146 =G= 0;

e519..    b135 - b147 =G= 0;

e520..    b136 - b148 =G= 0;

e521..    b134 - b149 =G= 0;

e522..    b135 - b150 =G= 0;

e523..    b136 - b151 =G= 0;

e524..    b134 - b152 =G= 0;

e525..    b135 - b153 =G= 0;

e526..    b136 - b154 =G= 0;

e527..    b137 - b155 =G= 0;

e528..    b138 - b156 =G= 0;

e529..    b139 - b157 =G= 0;

e530..    b140 - b158 =G= 0;

e531..    b141 - b159 =G= 0;

e532..    b142 - b160 =G= 0;

e533..    b143 - b161 =G= 0;

e534..    b144 - b162 =G= 0;

e535..    b145 - b163 =G= 0;

e536..    b143 - b164 =G= 0;

e537..    b144 - b165 =G= 0;

e538..    b145 - b166 =G= 0;

* set non-default bounds
x2.up = 40;
x3.up = 40;
x4.up = 40;
x35.up = 30;
x36.up = 30;
x37.up = 30;
x86.up = 20;
x87.up = 20;
x88.up = 20;
x89.up = 20;
x90.up = 20;
x91.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: 2019-07-12 Git hash: 46a7b4f1
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