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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance syn30m02m

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)
399.68314360 p1 ( gdx sol )
(infeas: 4e-16)
Other points (infeas > 1e-08)  
Dual Bounds
400.04154000 (ALPHAECP)
399.68417720 (ANTIGONE)
399.68316700 (BARON)
665.50901000 (BONMIN)
2705.36123200 (COUENNE)
399.68316340 (LINDO)
399.68402170 (SCIP)
403.28462520 (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 Syn30M02M.gms from CMU-IBM MINLP solver project page
Application Synthesis of processing system
Added to library 28 Sep 2013
Problem type MBNLP
#Variables 320
#Binary Variables 120
#Integer Variables 0
#Nonlinear Variables 40
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 102
#Nonlinear Nonzeros in Objective 0
#Constraints 604
#Linear Constraints 564
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 40
Operands in Gen. Nonlin. Functions log
Constraints curvature convex
#Nonzeros in Jacobian 1400
#Nonlinear Nonzeros in Jacobian 40
#Nonzeros in (Upper-Left) Hessian of Lagrangian 40
#Nonzeros in Diagonal of Hessian of Lagrangian 40
#Blocks in Hessian of Lagrangian 40
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 4.8023e-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
*        605       37      162      406        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        321      201      120        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1503     1463       40        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
          ,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,b212,b213,b214,b215,b216,b217,b218,b219
          ,b220,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231,b232
          ,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245
          ,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258
          ,b259,b260,b261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271
          ,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284
          ,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297
          ,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310
          ,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321;

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,x122,x123,x124,x125,x126,x127
          ,x128,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140
          ,x141;

Binary Variables  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,b212,b213,b214,b215,b216,b217,b218
          ,b219,b220,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231
          ,b232,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244
          ,b245,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257
          ,b258,b259,b260,b261;

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,e539,e540,e541,e542,e543,e544,e545
          ,e546,e547,e548,e549,e550,e551,e552,e553,e554,e555,e556,e557,e558
          ,e559,e560,e561,e562,e563,e564,e565,e566,e567,e568,e569,e570,e571
          ,e572,e573,e574,e575,e576,e577,e578,e579,e580,e581,e582,e583,e584
          ,e585,e586,e587,e588,e589,e590,e591,e592,e593,e594,e595,e596,e597
          ,e598,e599,e600,e601,e602,e603,e604,e605;


e1..    objvar + x2 + x3 - 5*x14 - 10*x15 + 2*x24 + x25 + 10*x58 + 5*x59
      + 5*x60 + 5*x61 - 40*x74 - 30*x75 - 15*x76 - 20*x77 - 10*x78 - 30*x79
      - 30*x80 - 20*x81 - 35*x82 - 50*x83 - 20*x84 - 30*x85 - 25*x86 - 50*x87
      - 15*x88 - 20*x89 - 30*x104 - 40*x105 + x114 + x115 - 80*x130 - 90*x131
      - 285*x132 - 390*x133 - 290*x134 - 405*x135 - 280*x136 - 400*x137
      - 290*x138 - 300*x139 - 350*x140 - 250*x141 + 5*b202 + 4*b203 + 8*b204
      + 7*b205 + 6*b206 + 9*b207 + 10*b208 + 9*b209 + 6*b210 + 10*b211 + 7*b212
      + 7*b213 + 4*b214 + 3*b215 + 5*b216 + 6*b217 + 2*b218 + 5*b219 + 4*b220
      + 7*b221 + 3*b222 + 9*b223 + 7*b224 + 2*b225 + 3*b226 + b227 + 2*b228
      + 6*b229 + 4*b230 + 8*b231 + 2*b232 + 5*b233 + 3*b234 + 4*b235 + 5*b236
      + 7*b237 + 2*b238 + 8*b239 + b240 + 4*b241 + 2*b242 + 5*b243 + 9*b244
      + 2*b245 + 5*b246 + 8*b247 + 2*b248 + 3*b249 + 10*b250 + 6*b251 + 4*b252
      + 8*b253 + 7*b254 + 3*b255 + 4*b256 + 8*b257 + 2*b258 + b259 + 8*b260
      + 3*b261 =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..    x90 - x92 =E= 0;

e23..    x91 - x93 =E= 0;

e24..    x92 - x94 - x96 =E= 0;

e25..    x93 - x95 - x97 =E= 0;

e26..  - x98 - x100 + x102 =E= 0;

e27..  - x99 - x101 + x103 =E= 0;

e28..    x102 - x104 - x106 =E= 0;

e29..    x103 - x105 - x107 =E= 0;

e30..    x106 - x108 - x110 - x112 =E= 0;

e31..    x107 - x109 - x111 - x113 =E= 0;

e32..    x116 - x122 - x124 =E= 0;

e33..    x117 - x123 - x125 =E= 0;

e34..    x120 - x126 - x128 - x130 =E= 0;

e35..    x121 - x127 - x129 - x131 =E= 0;

e36.. -log(1 + x4) + x8 + b142 =L= 1;

e37.. -log(1 + x5) + x9 + b143 =L= 1;

e38..    x4 - 40*b142 =L= 0;

e39..    x5 - 40*b143 =L= 0;

e40..    x8 - 3.71357206670431*b142 =L= 0;

e41..    x9 - 3.71357206670431*b143 =L= 0;

e42.. -1.2*log(1 + x6) + x10 + b144 =L= 1;

e43.. -1.2*log(1 + x7) + x11 + b145 =L= 1;

e44..    x6 - 40*b144 =L= 0;

e45..    x7 - 40*b145 =L= 0;

e46..    x10 - 4.45628648004517*b144 =L= 0;

e47..    x11 - 4.45628648004517*b145 =L= 0;

e48..  - 0.75*x18 + x26 + b146 =L= 1;

e49..  - 0.75*x19 + x27 + b147 =L= 1;

e50..  - 0.75*x18 + x26 - b146 =G= -1;

e51..  - 0.75*x19 + x27 - b147 =G= -1;

e52..    x18 - 4.45628648004517*b146 =L= 0;

e53..    x19 - 4.45628648004517*b147 =L= 0;

e54..    x26 - 3.34221486003388*b146 =L= 0;

e55..    x27 - 3.34221486003388*b147 =L= 0;

e56.. -1.5*log(1 + x20) + x28 + b148 =L= 1;

e57.. -1.5*log(1 + x21) + x29 + b149 =L= 1;

e58..    x20 - 4.45628648004517*b148 =L= 0;

e59..    x21 - 4.45628648004517*b149 =L= 0;

e60..    x28 - 2.54515263975353*b148 =L= 0;

e61..    x29 - 2.54515263975353*b149 =L= 0;

e62..  - x22 + x30 + b150 =L= 1;

e63..  - x23 + x31 + b151 =L= 1;

e64..  - x22 + x30 - b150 =G= -1;

e65..  - x23 + x31 - b151 =G= -1;

e66..  - 0.5*x24 + x30 + b150 =L= 1;

e67..  - 0.5*x25 + x31 + b151 =L= 1;

e68..  - 0.5*x24 + x30 - b150 =G= -1;

e69..  - 0.5*x25 + x31 - b151 =G= -1;

e70..    x22 - 4.45628648004517*b150 =L= 0;

e71..    x23 - 4.45628648004517*b151 =L= 0;

e72..    x24 - 30*b150 =L= 0;

e73..    x25 - 30*b151 =L= 0;

e74..    x30 - 15*b150 =L= 0;

e75..    x31 - 15*b151 =L= 0;

e76.. -1.25*log(1 + x32) + x42 + b152 =L= 1;

e77.. -1.25*log(1 + x33) + x43 + b153 =L= 1;

e78..    x32 - 3.34221486003388*b152 =L= 0;

e79..    x33 - 3.34221486003388*b153 =L= 0;

e80..    x42 - 1.83548069293539*b152 =L= 0;

e81..    x43 - 1.83548069293539*b153 =L= 0;

e82.. -0.9*log(1 + x34) + x44 + b154 =L= 1;

e83.. -0.9*log(1 + x35) + x45 + b155 =L= 1;

e84..    x34 - 3.34221486003388*b154 =L= 0;

e85..    x35 - 3.34221486003388*b155 =L= 0;

e86..    x44 - 1.32154609891348*b154 =L= 0;

e87..    x45 - 1.32154609891348*b155 =L= 0;

e88.. -log(1 + x28) + x46 + b156 =L= 1;

e89.. -log(1 + x29) + x47 + b157 =L= 1;

e90..    x28 - 2.54515263975353*b156 =L= 0;

e91..    x29 - 2.54515263975353*b157 =L= 0;

e92..    x46 - 1.26558121681553*b156 =L= 0;

e93..    x47 - 1.26558121681553*b157 =L= 0;

e94..  - 0.9*x36 + x48 + b158 =L= 1;

e95..  - 0.9*x37 + x49 + b159 =L= 1;

e96..  - 0.9*x36 + x48 - b158 =G= -1;

e97..  - 0.9*x37 + x49 - b159 =G= -1;

e98..    x36 - 15*b158 =L= 0;

e99..    x37 - 15*b159 =L= 0;

e100..    x48 - 13.5*b158 =L= 0;

e101..    x49 - 13.5*b159 =L= 0;

e102..  - 0.6*x38 + x50 + b160 =L= 1;

e103..  - 0.6*x39 + x51 + b161 =L= 1;

e104..  - 0.6*x38 + x50 - b160 =G= -1;

e105..  - 0.6*x39 + x51 - b161 =G= -1;

e106..    x38 - 15*b160 =L= 0;

e107..    x39 - 15*b161 =L= 0;

e108..    x50 - 9*b160 =L= 0;

e109..    x51 - 9*b161 =L= 0;

e110.. -1.1*log(1 + x40) + x52 + b162 =L= 1;

e111.. -1.1*log(1 + x41) + x53 + b163 =L= 1;

e112..    x40 - 15*b162 =L= 0;

e113..    x41 - 15*b163 =L= 0;

e114..    x52 - 3.04984759446376*b162 =L= 0;

e115..    x53 - 3.04984759446376*b163 =L= 0;

e116..  - 0.9*x42 + x74 + b164 =L= 1;

e117..  - 0.9*x43 + x75 + b165 =L= 1;

e118..  - 0.9*x42 + x74 - b164 =G= -1;

e119..  - 0.9*x43 + x75 - b165 =G= -1;

e120..  - x58 + x74 + b164 =L= 1;

e121..  - x59 + x75 + b165 =L= 1;

e122..  - x58 + x74 - b164 =G= -1;

e123..  - x59 + x75 - b165 =G= -1;

e124..    x42 - 1.83548069293539*b164 =L= 0;

e125..    x43 - 1.83548069293539*b165 =L= 0;

e126..    x58 - 20*b164 =L= 0;

e127..    x59 - 20*b165 =L= 0;

e128..    x74 - 20*b164 =L= 0;

e129..    x75 - 20*b165 =L= 0;

e130.. -log(1 + x44) + x76 + b166 =L= 1;

e131.. -log(1 + x45) + x77 + b167 =L= 1;

e132..    x44 - 1.32154609891348*b166 =L= 0;

e133..    x45 - 1.32154609891348*b167 =L= 0;

e134..    x76 - 0.842233385663186*b166 =L= 0;

e135..    x77 - 0.842233385663186*b167 =L= 0;

e136.. -0.7*log(1 + x54) + x78 + b168 =L= 1;

e137.. -0.7*log(1 + x55) + x79 + b169 =L= 1;

e138..    x54 - 1.26558121681553*b168 =L= 0;

e139..    x55 - 1.26558121681553*b169 =L= 0;

e140..    x78 - 0.572481933717686*b168 =L= 0;

e141..    x79 - 0.572481933717686*b169 =L= 0;

e142.. -0.65*log(1 + x56) + x80 + b170 =L= 1;

e143.. -0.65*log(1 + x57) + x81 + b171 =L= 1;

e144.. -0.65*log(1 + x62) + x80 + b170 =L= 1;

e145.. -0.65*log(1 + x63) + x81 + b171 =L= 1;

e146..    x56 - 1.26558121681553*b170 =L= 0;

e147..    x57 - 1.26558121681553*b171 =L= 0;

e148..    x62 - 33.5*b170 =L= 0;

e149..    x63 - 33.5*b171 =L= 0;

e150..    x80 - 2.30162356062425*b170 =L= 0;

e151..    x81 - 2.30162356062425*b171 =L= 0;

e152..  - x64 + x82 + b172 =L= 1;

e153..  - x65 + x83 + b173 =L= 1;

e154..  - x64 + x82 - b172 =G= -1;

e155..  - x65 + x83 - b173 =G= -1;

e156..    x64 - 9*b172 =L= 0;

e157..    x65 - 9*b173 =L= 0;

e158..    x82 - 9*b172 =L= 0;

e159..    x83 - 9*b173 =L= 0;

e160..  - x66 + x84 + b174 =L= 1;

e161..  - x67 + x85 + b175 =L= 1;

e162..  - x66 + x84 - b174 =G= -1;

e163..  - x67 + x85 - b175 =G= -1;

e164..    x66 - 9*b174 =L= 0;

e165..    x67 - 9*b175 =L= 0;

e166..    x84 - 9*b174 =L= 0;

e167..    x85 - 9*b175 =L= 0;

e168.. -0.75*log(1 + x68) + x86 + b176 =L= 1;

e169.. -0.75*log(1 + x69) + x87 + b177 =L= 1;

e170..    x68 - 3.04984759446376*b176 =L= 0;

e171..    x69 - 3.04984759446376*b177 =L= 0;

e172..    x86 - 1.04900943706034*b176 =L= 0;

e173..    x87 - 1.04900943706034*b177 =L= 0;

e174.. -0.8*log(1 + x70) + x88 + b178 =L= 1;

e175.. -0.8*log(1 + x71) + x89 + b179 =L= 1;

e176..    x70 - 3.04984759446376*b178 =L= 0;

e177..    x71 - 3.04984759446376*b179 =L= 0;

e178..    x88 - 1.11894339953103*b178 =L= 0;

e179..    x89 - 1.11894339953103*b179 =L= 0;

e180.. -0.85*log(1 + x72) + x90 + b180 =L= 1;

e181.. -0.85*log(1 + x73) + x91 + b181 =L= 1;

e182..    x72 - 3.04984759446376*b180 =L= 0;

e183..    x73 - 3.04984759446376*b181 =L= 0;

e184..    x90 - 1.18887736200171*b180 =L= 0;

e185..    x91 - 1.18887736200171*b181 =L= 0;

e186.. -log(1 + x94) + x98 + b182 =L= 1;

e187.. -log(1 + x95) + x99 + b183 =L= 1;

e188..    x94 - 1.18887736200171*b182 =L= 0;

e189..    x95 - 1.18887736200171*b183 =L= 0;

e190..    x98 - 0.78338879230327*b182 =L= 0;

e191..    x99 - 0.78338879230327*b183 =L= 0;

e192.. -1.2*log(1 + x96) + x100 + b184 =L= 1;

e193.. -1.2*log(1 + x97) + x101 + b185 =L= 1;

e194..    x96 - 1.18887736200171*b184 =L= 0;

e195..    x97 - 1.18887736200171*b185 =L= 0;

e196..    x100 - 0.940066550763924*b184 =L= 0;

e197..    x101 - 0.940066550763924*b185 =L= 0;

e198..  - 0.75*x108 + x116 + b186 =L= 1;

e199..  - 0.75*x109 + x117 + b187 =L= 1;

e200..  - 0.75*x108 + x116 - b186 =G= -1;

e201..  - 0.75*x109 + x117 - b187 =G= -1;

e202..    x108 - 0.940066550763924*b186 =L= 0;

e203..    x109 - 0.940066550763924*b187 =L= 0;

e204..    x116 - 0.705049913072943*b186 =L= 0;

e205..    x117 - 0.705049913072943*b187 =L= 0;

e206.. -1.5*log(1 + x110) + x118 + b188 =L= 1;

e207.. -1.5*log(1 + x111) + x119 + b189 =L= 1;

e208..    x110 - 0.940066550763924*b188 =L= 0;

e209..    x111 - 0.940066550763924*b189 =L= 0;

e210..    x118 - 0.994083415506506*b188 =L= 0;

e211..    x119 - 0.994083415506506*b189 =L= 0;

e212..  - x112 + x120 + b190 =L= 1;

e213..  - x113 + x121 + b191 =L= 1;

e214..  - x112 + x120 - b190 =G= -1;

e215..  - x113 + x121 - b191 =G= -1;

e216..  - 0.5*x114 + x120 + b190 =L= 1;

e217..  - 0.5*x115 + x121 + b191 =L= 1;

e218..  - 0.5*x114 + x120 - b190 =G= -1;

e219..  - 0.5*x115 + x121 - b191 =G= -1;

e220..    x112 - 0.940066550763924*b190 =L= 0;

e221..    x113 - 0.940066550763924*b191 =L= 0;

e222..    x114 - 30*b190 =L= 0;

e223..    x115 - 30*b191 =L= 0;

e224..    x120 - 15*b190 =L= 0;

e225..    x121 - 15*b191 =L= 0;

e226.. -1.25*log(1 + x122) + x132 + b192 =L= 1;

e227.. -1.25*log(1 + x123) + x133 + b193 =L= 1;

e228..    x122 - 0.705049913072943*b192 =L= 0;

e229..    x123 - 0.705049913072943*b193 =L= 0;

e230..    x132 - 0.666992981045719*b192 =L= 0;

e231..    x133 - 0.666992981045719*b193 =L= 0;

e232.. -0.9*log(1 + x124) + x134 + b194 =L= 1;

e233.. -0.9*log(1 + x125) + x135 + b195 =L= 1;

e234..    x124 - 0.705049913072943*b194 =L= 0;

e235..    x125 - 0.705049913072943*b195 =L= 0;

e236..    x134 - 0.480234946352917*b194 =L= 0;

e237..    x135 - 0.480234946352917*b195 =L= 0;

e238.. -log(1 + x118) + x136 + b196 =L= 1;

e239.. -log(1 + x119) + x137 + b197 =L= 1;

e240..    x118 - 0.994083415506506*b196 =L= 0;

e241..    x119 - 0.994083415506506*b197 =L= 0;

e242..    x136 - 0.690184503917672*b196 =L= 0;

e243..    x137 - 0.690184503917672*b197 =L= 0;

e244..  - 0.9*x126 + x138 + b198 =L= 1;

e245..  - 0.9*x127 + x139 + b199 =L= 1;

e246..  - 0.9*x126 + x138 - b198 =G= -1;

e247..  - 0.9*x127 + x139 - b199 =G= -1;

e248..    x126 - 15*b198 =L= 0;

e249..    x127 - 15*b199 =L= 0;

e250..    x138 - 13.5*b198 =L= 0;

e251..    x139 - 13.5*b199 =L= 0;

e252..  - 0.6*x128 + x140 + b200 =L= 1;

e253..  - 0.6*x129 + x141 + b201 =L= 1;

e254..  - 0.6*x128 + x140 - b200 =G= -1;

e255..  - 0.6*x129 + x141 - b201 =G= -1;

e256..    x128 - 15*b200 =L= 0;

e257..    x129 - 15*b201 =L= 0;

e258..    x140 - 9*b200 =L= 0;

e259..    x141 - 9*b201 =L= 0;

e260..    5*b202 + x262 =L= 0;

e261..    4*b203 + x263 =L= 0;

e262..    8*b204 + x264 =L= 0;

e263..    7*b205 + x265 =L= 0;

e264..    6*b206 + x266 =L= 0;

e265..    9*b207 + x267 =L= 0;

e266..    10*b208 + x268 =L= 0;

e267..    9*b209 + x269 =L= 0;

e268..    6*b210 + x270 =L= 0;

e269..    10*b211 + x271 =L= 0;

e270..    7*b212 + x272 =L= 0;

e271..    7*b213 + x273 =L= 0;

e272..    4*b214 + x274 =L= 0;

e273..    3*b215 + x275 =L= 0;

e274..    5*b216 + x276 =L= 0;

e275..    6*b217 + x277 =L= 0;

e276..    2*b218 + x278 =L= 0;

e277..    5*b219 + x279 =L= 0;

e278..    4*b220 + x280 =L= 0;

e279..    7*b221 + x281 =L= 0;

e280..    3*b222 + x282 =L= 0;

e281..    9*b223 + x283 =L= 0;

e282..    7*b224 + x284 =L= 0;

e283..    2*b225 + x285 =L= 0;

e284..    3*b226 + x286 =L= 0;

e285..    b227 + x287 =L= 0;

e286..    2*b228 + x288 =L= 0;

e287..    6*b229 + x289 =L= 0;

e288..    4*b230 + x290 =L= 0;

e289..    8*b231 + x291 =L= 0;

e290..    2*b232 + x292 =L= 0;

e291..    5*b233 + x293 =L= 0;

e292..    3*b234 + x294 =L= 0;

e293..    4*b235 + x295 =L= 0;

e294..    5*b236 + x296 =L= 0;

e295..    7*b237 + x297 =L= 0;

e296..    2*b238 + x298 =L= 0;

e297..    8*b239 + x299 =L= 0;

e298..    b240 + x300 =L= 0;

e299..    4*b241 + x301 =L= 0;

e300..    2*b242 + x302 =L= 0;

e301..    5*b243 + x303 =L= 0;

e302..    9*b244 + x304 =L= 0;

e303..    2*b245 + x305 =L= 0;

e304..    5*b246 + x306 =L= 0;

e305..    8*b247 + x307 =L= 0;

e306..    2*b248 + x308 =L= 0;

e307..    3*b249 + x309 =L= 0;

e308..    10*b250 + x310 =L= 0;

e309..    6*b251 + x311 =L= 0;

e310..    4*b252 + x312 =L= 0;

e311..    8*b253 + x313 =L= 0;

e312..    7*b254 + x314 =L= 0;

e313..    3*b255 + x315 =L= 0;

e314..    4*b256 + x316 =L= 0;

e315..    8*b257 + x317 =L= 0;

e316..    2*b258 + x318 =L= 0;

e317..    b259 + x319 =L= 0;

e318..    8*b260 + x320 =L= 0;

e319..    3*b261 + x321 =L= 0;

e320..    5*b202 + x262 =G= 0;

e321..    4*b203 + x263 =G= 0;

e322..    8*b204 + x264 =G= 0;

e323..    7*b205 + x265 =G= 0;

e324..    6*b206 + x266 =G= 0;

e325..    9*b207 + x267 =G= 0;

e326..    10*b208 + x268 =G= 0;

e327..    9*b209 + x269 =G= 0;

e328..    6*b210 + x270 =G= 0;

e329..    10*b211 + x271 =G= 0;

e330..    7*b212 + x272 =G= 0;

e331..    7*b213 + x273 =G= 0;

e332..    4*b214 + x274 =G= 0;

e333..    3*b215 + x275 =G= 0;

e334..    5*b216 + x276 =G= 0;

e335..    6*b217 + x277 =G= 0;

e336..    2*b218 + x278 =G= 0;

e337..    5*b219 + x279 =G= 0;

e338..    4*b220 + x280 =G= 0;

e339..    7*b221 + x281 =G= 0;

e340..    3*b222 + x282 =G= 0;

e341..    9*b223 + x283 =G= 0;

e342..    7*b224 + x284 =G= 0;

e343..    2*b225 + x285 =G= 0;

e344..    3*b226 + x286 =G= 0;

e345..    b227 + x287 =G= 0;

e346..    2*b228 + x288 =G= 0;

e347..    6*b229 + x289 =G= 0;

e348..    4*b230 + x290 =G= 0;

e349..    8*b231 + x291 =G= 0;

e350..    2*b232 + x292 =G= 0;

e351..    5*b233 + x293 =G= 0;

e352..    3*b234 + x294 =G= 0;

e353..    4*b235 + x295 =G= 0;

e354..    5*b236 + x296 =G= 0;

e355..    7*b237 + x297 =G= 0;

e356..    2*b238 + x298 =G= 0;

e357..    8*b239 + x299 =G= 0;

e358..    b240 + x300 =G= 0;

e359..    4*b241 + x301 =G= 0;

e360..    2*b242 + x302 =G= 0;

e361..    5*b243 + x303 =G= 0;

e362..    9*b244 + x304 =G= 0;

e363..    2*b245 + x305 =G= 0;

e364..    5*b246 + x306 =G= 0;

e365..    8*b247 + x307 =G= 0;

e366..    2*b248 + x308 =G= 0;

e367..    3*b249 + x309 =G= 0;

e368..    10*b250 + x310 =G= 0;

e369..    6*b251 + x311 =G= 0;

e370..    4*b252 + x312 =G= 0;

e371..    8*b253 + x313 =G= 0;

e372..    7*b254 + x314 =G= 0;

e373..    3*b255 + x315 =G= 0;

e374..    4*b256 + x316 =G= 0;

e375..    8*b257 + x317 =G= 0;

e376..    2*b258 + x318 =G= 0;

e377..    b259 + x319 =G= 0;

e378..    8*b260 + x320 =G= 0;

e379..    3*b261 + x321 =G= 0;

e380..    b142 - b143 =L= 0;

e381..    b144 - b145 =L= 0;

e382..    b146 - b147 =L= 0;

e383..    b148 - b149 =L= 0;

e384..    b150 - b151 =L= 0;

e385..    b152 - b153 =L= 0;

e386..    b154 - b155 =L= 0;

e387..    b156 - b157 =L= 0;

e388..    b158 - b159 =L= 0;

e389..    b160 - b161 =L= 0;

e390..    b162 - b163 =L= 0;

e391..    b164 - b165 =L= 0;

e392..    b166 - b167 =L= 0;

e393..    b168 - b169 =L= 0;

e394..    b170 - b171 =L= 0;

e395..    b172 - b173 =L= 0;

e396..    b174 - b175 =L= 0;

e397..    b176 - b177 =L= 0;

e398..    b178 - b179 =L= 0;

e399..    b180 - b181 =L= 0;

e400..    b182 - b183 =L= 0;

e401..    b184 - b185 =L= 0;

e402..    b186 - b187 =L= 0;

e403..    b188 - b189 =L= 0;

e404..    b190 - b191 =L= 0;

e405..    b192 - b193 =L= 0;

e406..    b194 - b195 =L= 0;

e407..    b196 - b197 =L= 0;

e408..    b198 - b199 =L= 0;

e409..    b200 - b201 =L= 0;

e410..    b202 + b203 =L= 1;

e411..    b202 + b203 =L= 1;

e412..    b204 + b205 =L= 1;

e413..    b204 + b205 =L= 1;

e414..    b206 + b207 =L= 1;

e415..    b206 + b207 =L= 1;

e416..    b208 + b209 =L= 1;

e417..    b208 + b209 =L= 1;

e418..    b210 + b211 =L= 1;

e419..    b210 + b211 =L= 1;

e420..    b212 + b213 =L= 1;

e421..    b212 + b213 =L= 1;

e422..    b214 + b215 =L= 1;

e423..    b214 + b215 =L= 1;

e424..    b216 + b217 =L= 1;

e425..    b216 + b217 =L= 1;

e426..    b218 + b219 =L= 1;

e427..    b218 + b219 =L= 1;

e428..    b220 + b221 =L= 1;

e429..    b220 + b221 =L= 1;

e430..    b222 + b223 =L= 1;

e431..    b222 + b223 =L= 1;

e432..    b224 + b225 =L= 1;

e433..    b224 + b225 =L= 1;

e434..    b226 + b227 =L= 1;

e435..    b226 + b227 =L= 1;

e436..    b228 + b229 =L= 1;

e437..    b228 + b229 =L= 1;

e438..    b230 + b231 =L= 1;

e439..    b230 + b231 =L= 1;

e440..    b232 + b233 =L= 1;

e441..    b232 + b233 =L= 1;

e442..    b234 + b235 =L= 1;

e443..    b234 + b235 =L= 1;

e444..    b236 + b237 =L= 1;

e445..    b236 + b237 =L= 1;

e446..    b238 + b239 =L= 1;

e447..    b238 + b239 =L= 1;

e448..    b240 + b241 =L= 1;

e449..    b240 + b241 =L= 1;

e450..    b242 + b243 =L= 1;

e451..    b242 + b243 =L= 1;

e452..    b244 + b245 =L= 1;

e453..    b244 + b245 =L= 1;

e454..    b246 + b247 =L= 1;

e455..    b246 + b247 =L= 1;

e456..    b248 + b249 =L= 1;

e457..    b248 + b249 =L= 1;

e458..    b250 + b251 =L= 1;

e459..    b250 + b251 =L= 1;

e460..    b252 + b253 =L= 1;

e461..    b252 + b253 =L= 1;

e462..    b254 + b255 =L= 1;

e463..    b254 + b255 =L= 1;

e464..    b256 + b257 =L= 1;

e465..    b256 + b257 =L= 1;

e466..    b258 + b259 =L= 1;

e467..    b258 + b259 =L= 1;

e468..    b260 + b261 =L= 1;

e469..    b260 + b261 =L= 1;

e470..    b142 - b202 =L= 0;

e471..  - b142 + b143 - b203 =L= 0;

e472..    b144 - b204 =L= 0;

e473..  - b144 + b145 - b205 =L= 0;

e474..    b146 - b206 =L= 0;

e475..  - b146 + b147 - b207 =L= 0;

e476..    b148 - b208 =L= 0;

e477..  - b148 + b149 - b209 =L= 0;

e478..    b150 - b210 =L= 0;

e479..  - b150 + b151 - b211 =L= 0;

e480..    b152 - b212 =L= 0;

e481..  - b152 + b153 - b213 =L= 0;

e482..    b154 - b214 =L= 0;

e483..  - b154 + b155 - b215 =L= 0;

e484..    b156 - b216 =L= 0;

e485..  - b156 + b157 - b217 =L= 0;

e486..    b158 - b218 =L= 0;

e487..  - b158 + b159 - b219 =L= 0;

e488..    b160 - b220 =L= 0;

e489..  - b160 + b161 - b221 =L= 0;

e490..    b162 - b222 =L= 0;

e491..  - b162 + b163 - b223 =L= 0;

e492..    b164 - b224 =L= 0;

e493..  - b164 + b165 - b225 =L= 0;

e494..    b166 - b226 =L= 0;

e495..  - b166 + b167 - b227 =L= 0;

e496..    b168 - b228 =L= 0;

e497..  - b168 + b169 - b229 =L= 0;

e498..    b170 - b230 =L= 0;

e499..  - b170 + b171 - b231 =L= 0;

e500..    b172 - b232 =L= 0;

e501..  - b172 + b173 - b233 =L= 0;

e502..    b174 - b234 =L= 0;

e503..  - b174 + b175 - b235 =L= 0;

e504..    b176 - b236 =L= 0;

e505..  - b176 + b177 - b237 =L= 0;

e506..    b178 - b238 =L= 0;

e507..  - b178 + b179 - b239 =L= 0;

e508..    b180 - b240 =L= 0;

e509..  - b180 + b181 - b241 =L= 0;

e510..    b182 - b242 =L= 0;

e511..  - b182 + b183 - b243 =L= 0;

e512..    b184 - b244 =L= 0;

e513..  - b184 + b185 - b245 =L= 0;

e514..    b186 - b246 =L= 0;

e515..  - b186 + b187 - b247 =L= 0;

e516..    b188 - b248 =L= 0;

e517..  - b188 + b189 - b249 =L= 0;

e518..    b190 - b250 =L= 0;

e519..  - b190 + b191 - b251 =L= 0;

e520..    b192 - b252 =L= 0;

e521..  - b192 + b193 - b253 =L= 0;

e522..    b194 - b254 =L= 0;

e523..  - b194 + b195 - b255 =L= 0;

e524..    b196 - b256 =L= 0;

e525..  - b196 + b197 - b257 =L= 0;

e526..    b198 - b258 =L= 0;

e527..  - b198 + b199 - b259 =L= 0;

e528..    b200 - b260 =L= 0;

e529..  - b200 + b201 - b261 =L= 0;

e530..    b142 + b144 =E= 1;

e531..    b143 + b145 =E= 1;

e532..  - b146 + b152 + b154 =G= 0;

e533..  - b147 + b153 + b155 =G= 0;

e534..  - b152 + b164 =G= 0;

e535..  - b153 + b165 =G= 0;

e536..  - b154 + b166 =G= 0;

e537..  - b155 + b167 =G= 0;

e538..  - b148 + b156 =G= 0;

e539..  - b149 + b157 =G= 0;

e540..  - b156 + b168 + b170 =G= 0;

e541..  - b157 + b169 + b171 =G= 0;

e542..  - b150 + b158 + b160 + b162 =G= 0;

e543..  - b151 + b159 + b161 + b163 =G= 0;

e544..  - b158 + b170 =G= 0;

e545..  - b159 + b171 =G= 0;

e546..  - b160 + b172 + b174 =G= 0;

e547..  - b161 + b173 + b175 =G= 0;

e548..  - b162 + b176 + b178 + b180 =G= 0;

e549..  - b163 + b177 + b179 + b181 =G= 0;

e550..    b142 + b144 - b146 =G= 0;

e551..    b143 + b145 - b147 =G= 0;

e552..    b142 + b144 - b148 =G= 0;

e553..    b143 + b145 - b149 =G= 0;

e554..    b142 + b144 - b150 =G= 0;

e555..    b143 + b145 - b151 =G= 0;

e556..    b146 - b152 =G= 0;

e557..    b147 - b153 =G= 0;

e558..    b146 - b154 =G= 0;

e559..    b147 - b155 =G= 0;

e560..    b148 - b156 =G= 0;

e561..    b149 - b157 =G= 0;

e562..    b150 - b158 =G= 0;

e563..    b151 - b159 =G= 0;

e564..    b150 - b160 =G= 0;

e565..    b151 - b161 =G= 0;

e566..    b150 - b162 =G= 0;

e567..    b151 - b163 =G= 0;

e568..    b152 - b164 =G= 0;

e569..    b153 - b165 =G= 0;

e570..    b154 - b166 =G= 0;

e571..    b155 - b167 =G= 0;

e572..    b156 - b168 =G= 0;

e573..    b157 - b169 =G= 0;

e574..    b156 - b170 =G= 0;

e575..    b157 - b171 =G= 0;

e576..    b160 - b172 =G= 0;

e577..    b161 - b173 =G= 0;

e578..    b160 - b174 =G= 0;

e579..    b161 - b175 =G= 0;

e580..    b162 - b176 =G= 0;

e581..    b163 - b177 =G= 0;

e582..    b162 - b178 =G= 0;

e583..    b163 - b179 =G= 0;

e584..    b162 - b180 =G= 0;

e585..    b163 - b181 =G= 0;

e586..  - b180 + b182 + b184 =G= 0;

e587..  - b181 + b183 + b185 =G= 0;

e588..  - b186 + b192 + b194 =G= 0;

e589..  - b187 + b193 + b195 =G= 0;

e590..  - b188 + b196 =G= 0;

e591..  - b189 + b197 =G= 0;

e592..    b180 - b182 =G= 0;

e593..    b181 - b183 =G= 0;

e594..    b180 - b184 =G= 0;

e595..    b181 - b185 =G= 0;

e596..    b186 - b192 =G= 0;

e597..    b187 - b193 =G= 0;

e598..    b186 - b194 =G= 0;

e599..    b187 - b195 =G= 0;

e600..    b188 - b196 =G= 0;

e601..    b189 - b197 =G= 0;

e602..    b190 - b198 =G= 0;

e603..    b191 - b199 =G= 0;

e604..    b190 - b200 =G= 0;

e605..    b191 - b201 =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;
x114.up = 30;
x115.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
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