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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Removed Instance syn30h

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)
138.15978760 p1 ( gdx sol )
(infeas: 4e-16)
Other points (infeas > 1e-08)  
Dual Bounds
138.15982790 (ALPHAECP)
138.15978770 (ANTIGONE)
138.15978770 (BARON)
138.15978780 (BONMIN)
269.40507000 (COUENNE)
138.15978760 (LINDO)
138.16010130 (SCIP)
138.23228420 (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 Syn30H.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Removed because Superseded by syn30hfsg.
Problem type MBNLP
#Variables 228
#Binary Variables 30
#Integer Variables 0
#Nonlinear Variables 58
#Nonlinear Binary Variables 19
#Nonlinear Integer Variables 0
Objective Sense max
Objective type linear
Objective curvature linear
#Nonzeros in Objective 51
#Nonlinear Nonzeros in Objective 0
#Constraints 345
#Linear Constraints 325
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 20
Operands in Gen. Nonlin. Functions div log mul
Constraints curvature convex
#Nonzeros in Jacobian 743
#Nonlinear Nonzeros in Jacobian 60
#Nonzeros in (Upper-Left) Hessian of Lagrangian 117
#Nonzeros in Diagonal of Hessian of Lagrangian 39
#Blocks in Hessian of Lagrangian 19
Minimal blocksize in Hessian of Lagrangian 3
Maximal blocksize in Hessian of Lagrangian 4
Average blocksize in Hessian of Lagrangian 3.052632
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.0000e-06
Maximal coefficient 3.5000e+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
*        346      161       37      148        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        229      199       30        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*        795      735       60        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,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180
          ,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193
          ,x194,x195,x196,x197,x198,x199,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;

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,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,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179
          ,x180,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192
          ,x193,x194,x195,x196,x197,x198,x199;

Binary Variables  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;

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;


e1..    objvar + x2 - 5*x8 + 2*x13 + 10*x30 + 5*x31 - 40*x38 - 15*x39 - 10*x40
      - 30*x41 - 35*x42 - 20*x43 - 25*x44 - 15*x45 - 30*x53 + x58 - 80*x66
      - 285*x67 - 290*x68 - 280*x69 - 290*x70 - 350*x71 + 5*b200 + 8*b201
      + 6*b202 + 10*b203 + 6*b204 + 7*b205 + 4*b206 + 5*b207 + 2*b208 + 4*b209
      + 3*b210 + 7*b211 + 3*b212 + 2*b213 + 4*b214 + 2*b215 + 3*b216 + 5*b217
      + 2*b218 + b219 + 2*b220 + 9*b221 + 5*b222 + 2*b223 + 10*b224 + 4*b225
      + 7*b226 + 4*b227 + 2*b228 + 8*b229 =E= 0;

e2..    x2 - x3 - x4 =E= 0;

e3..  - x5 - x6 + x7 =E= 0;

e4..    x7 - x8 - x9 =E= 0;

e5..    x9 - x10 - x11 - x12 =E= 0;

e6..    x14 - x17 - x18 =E= 0;

e7..    x16 - x19 - x20 - x21 =E= 0;

e8..    x24 - x28 - x29 =E= 0;

e9..  - x25 - x31 + x32 =E= 0;

e10..    x26 - x33 - x34 =E= 0;

e11..    x27 - x35 - x36 - x37 =E= 0;

e12..    x46 - x47 =E= 0;

e13..    x47 - x48 - x49 =E= 0;

e14..  - x50 - x51 + x52 =E= 0;

e15..    x52 - x53 - x54 =E= 0;

e16..    x54 - x55 - x56 - x57 =E= 0;

e17..    x59 - x62 - x63 =E= 0;

e18..    x61 - x64 - x65 - x66 =E= 0;

e19.. (x76/(1e-6 + b200) - log(1 + x72/(1e-6 + b200)))*(1e-6 + b200) =L= 0;

e20..    x73 =E= 0;

e21..    x77 =E= 0;

e22..    x3 - x72 - x73 =E= 0;

e23..    x5 - x76 - x77 =E= 0;

e24..    x72 - 40*b200 =L= 0;

e25..    x73 + 40*b200 =L= 40;

e26..    x76 - 3.71357206670431*b200 =L= 0;

e27..    x77 + 3.71357206670431*b200 =L= 3.71357206670431;

e28.. (x78/(1e-6 + b201) - 1.2*log(1 + x74/(1e-6 + b201)))*(1e-6 + b201) =L= 0;

e29..    x75 =E= 0;

e30..    x79 =E= 0;

e31..    x4 - x74 - x75 =E= 0;

e32..    x6 - x78 - x79 =E= 0;

e33..    x74 - 40*b201 =L= 0;

e34..    x75 + 40*b201 =L= 40;

e35..    x78 - 4.45628648004517*b201 =L= 0;

e36..    x79 + 4.45628648004517*b201 =L= 4.45628648004517;

e37..  - 0.75*x80 + x88 =E= 0;

e38..    x81 =E= 0;

e39..    x89 =E= 0;

e40..    x10 - x80 - x81 =E= 0;

e41..    x14 - x88 - x89 =E= 0;

e42..    x80 - 4.45628648004517*b202 =L= 0;

e43..    x81 + 4.45628648004517*b202 =L= 4.45628648004517;

e44..    x88 - 3.34221486003388*b202 =L= 0;

e45..    x89 + 3.34221486003388*b202 =L= 3.34221486003388;

e46.. (x90/(1e-6 + b203) - 1.5*log(1 + x82/(1e-6 + b203)))*(1e-6 + b203) =L= 0;

e47..    x83 =E= 0;

e48..    x92 =E= 0;

e49..    x11 - x82 - x83 =E= 0;

e50..    x15 - x90 - x92 =E= 0;

e51..    x82 - 4.45628648004517*b203 =L= 0;

e52..    x83 + 4.45628648004517*b203 =L= 4.45628648004517;

e53..    x90 - 2.54515263975353*b203 =L= 0;

e54..    x92 + 2.54515263975353*b203 =L= 2.54515263975353;

e55..  - x84 + x94 =E= 0;

e56..  - 0.5*x86 + x94 =E= 0;

e57..    x85 =E= 0;

e58..    x87 =E= 0;

e59..    x95 =E= 0;

e60..    x12 - x84 - x85 =E= 0;

e61..    x13 - x86 - x87 =E= 0;

e62..    x16 - x94 - x95 =E= 0;

e63..    x84 - 4.45628648004517*b204 =L= 0;

e64..    x85 + 4.45628648004517*b204 =L= 4.45628648004517;

e65..    x86 - 30*b204 =L= 0;

e66..    x87 + 30*b204 =L= 30;

e67..    x94 - 15*b204 =L= 0;

e68..    x95 + 15*b204 =L= 15;

e69.. (x106/(1e-6 + b205) - 1.25*log(1 + x96/(1e-6 + b205)))*(1e-6 + b205)
       =L= 0;

e70..    x97 =E= 0;

e71..    x108 =E= 0;

e72..    x17 - x96 - x97 =E= 0;

e73..    x22 - x106 - x108 =E= 0;

e74..    x96 - 3.34221486003388*b205 =L= 0;

e75..    x97 + 3.34221486003388*b205 =L= 3.34221486003388;

e76..    x106 - 1.83548069293539*b205 =L= 0;

e77..    x108 + 1.83548069293539*b205 =L= 1.83548069293539;

e78.. (x110/(1e-6 + b206) - 0.9*log(1 + x98/(1e-6 + b206)))*(1e-6 + b206) =L= 0
      ;

e79..    x99 =E= 0;

e80..    x112 =E= 0;

e81..    x18 - x98 - x99 =E= 0;

e82..    x23 - x110 - x112 =E= 0;

e83..    x98 - 3.34221486003388*b206 =L= 0;

e84..    x99 + 3.34221486003388*b206 =L= 3.34221486003388;

e85..    x110 - 1.32154609891348*b206 =L= 0;

e86..    x112 + 1.32154609891348*b206 =L= 1.32154609891348;

e87.. (x114/(1e-6 + b207) - log(1 + x91/(1e-6 + b207)))*(1e-6 + b207) =L= 0;

e88..    x93 =E= 0;

e89..    x115 =E= 0;

e90..    x15 - x91 - x93 =E= 0;

e91..    x24 - x114 - x115 =E= 0;

e92..    x91 - 2.54515263975353*b207 =L= 0;

e93..    x93 + 2.54515263975353*b207 =L= 2.54515263975353;

e94..    x114 - 1.26558121681553*b207 =L= 0;

e95..    x115 + 1.26558121681553*b207 =L= 1.26558121681553;

e96..  - 0.9*x100 + x116 =E= 0;

e97..    x101 =E= 0;

e98..    x117 =E= 0;

e99..    x19 - x100 - x101 =E= 0;

e100..    x25 - x116 - x117 =E= 0;

e101..    x100 - 15*b208 =L= 0;

e102..    x101 + 15*b208 =L= 15;

e103..    x116 - 13.5*b208 =L= 0;

e104..    x117 + 13.5*b208 =L= 13.5;

e105..  - 0.6*x102 + x118 =E= 0;

e106..    x103 =E= 0;

e107..    x119 =E= 0;

e108..    x20 - x102 - x103 =E= 0;

e109..    x26 - x118 - x119 =E= 0;

e110..    x102 - 15*b209 =L= 0;

e111..    x103 + 15*b209 =L= 15;

e112..    x118 - 9*b209 =L= 0;

e113..    x119 + 9*b209 =L= 9;

e114.. (x120/(1e-6 + b210) - 1.1*log(1 + x104/(1e-6 + b210)))*(1e-6 + b210)
        =L= 0;

e115..    x105 =E= 0;

e116..    x121 =E= 0;

e117..    x21 - x104 - x105 =E= 0;

e118..    x27 - x120 - x121 =E= 0;

e119..    x104 - 15*b210 =L= 0;

e120..    x105 + 15*b210 =L= 15;

e121..    x120 - 3.04984759446376*b210 =L= 0;

e122..    x121 + 3.04984759446376*b210 =L= 3.04984759446376;

e123..  - 0.9*x107 + x140 =E= 0;

e124..  - x126 + x140 =E= 0;

e125..    x109 =E= 0;

e126..    x127 =E= 0;

e127..    x141 =E= 0;

e128..    x22 - x107 - x109 =E= 0;

e129..    x30 - x126 - x127 =E= 0;

e130..    x38 - x140 - x141 =E= 0;

e131..    x107 - 1.83548069293539*b211 =L= 0;

e132..    x109 + 1.83548069293539*b211 =L= 1.83548069293539;

e133..    x126 - 20*b211 =L= 0;

e134..    x127 + 20*b211 =L= 20;

e135..    x140 - 20*b211 =L= 0;

e136..    x141 + 20*b211 =L= 20;

e137.. (x142/(1e-6 + b212) - log(1 + x111/(1e-6 + b212)))*(1e-6 + b212) =L= 0;

e138..    x113 =E= 0;

e139..    x143 =E= 0;

e140..    x23 - x111 - x113 =E= 0;

e141..    x39 - x142 - x143 =E= 0;

e142..    x111 - 1.32154609891348*b212 =L= 0;

e143..    x113 + 1.32154609891348*b212 =L= 1.32154609891348;

e144..    x142 - 0.842233385663186*b212 =L= 0;

e145..    x143 + 0.842233385663186*b212 =L= 0.842233385663186;

e146.. (x144/(1e-6 + b213) - 0.7*log(1 + x122/(1e-6 + b213)))*(1e-6 + b213)
        =L= 0;

e147..    x123 =E= 0;

e148..    x145 =E= 0;

e149..    x28 - x122 - x123 =E= 0;

e150..    x40 - x144 - x145 =E= 0;

e151..    x122 - 1.26558121681553*b213 =L= 0;

e152..    x123 + 1.26558121681553*b213 =L= 1.26558121681553;

e153..    x144 - 0.572481933717686*b213 =L= 0;

e154..    x145 + 0.572481933717686*b213 =L= 0.572481933717686;

e155.. (x146/(1e-6 + b214) - 0.65*log(1 + x124/(1e-6 + b214)))*(1e-6 + b214)
        =L= 0;

e156.. (x146/(1e-6 + b214) - 0.65*log(1 + x128/(1e-6 + b214)))*(1e-6 + b214)
        =L= 0;

e157..    x125 =E= 0;

e158..    x129 =E= 0;

e159..    x147 =E= 0;

e160..    x29 - x124 - x125 =E= 0;

e161..    x32 - x128 - x129 =E= 0;

e162..    x41 - x146 - x147 =E= 0;

e163..    x124 - 1.26558121681553*b214 =L= 0;

e164..    x125 + 1.26558121681553*b214 =L= 1.26558121681553;

e165..    x128 - 33.5*b214 =L= 0;

e166..    x129 + 33.5*b214 =L= 33.5;

e167..    x146 - 2.30162356062425*b214 =L= 0;

e168..    x147 + 2.30162356062425*b214 =L= 2.30162356062425;

e169..  - x130 + x148 =E= 0;

e170..    x131 =E= 0;

e171..    x149 =E= 0;

e172..    x33 - x130 - x131 =E= 0;

e173..    x42 - x148 - x149 =E= 0;

e174..    x130 - 9*b215 =L= 0;

e175..    x131 + 9*b215 =L= 9;

e176..    x148 - 9*b215 =L= 0;

e177..    x149 + 9*b215 =L= 9;

e178..  - x132 + x150 =E= 0;

e179..    x133 =E= 0;

e180..    x151 =E= 0;

e181..    x34 - x132 - x133 =E= 0;

e182..    x43 - x150 - x151 =E= 0;

e183..    x132 - 9*b216 =L= 0;

e184..    x133 + 9*b216 =L= 9;

e185..    x150 - 9*b216 =L= 0;

e186..    x151 + 9*b216 =L= 9;

e187.. (x152/(1e-6 + b217) - 0.75*log(1 + x134/(1e-6 + b217)))*(1e-6 + b217)
        =L= 0;

e188..    x135 =E= 0;

e189..    x153 =E= 0;

e190..    x35 - x134 - x135 =E= 0;

e191..    x44 - x152 - x153 =E= 0;

e192..    x134 - 3.04984759446376*b217 =L= 0;

e193..    x135 + 3.04984759446376*b217 =L= 3.04984759446376;

e194..    x152 - 1.04900943706034*b217 =L= 0;

e195..    x153 + 1.04900943706034*b217 =L= 1.04900943706034;

e196.. (x154/(1e-6 + b218) - 0.8*log(1 + x136/(1e-6 + b218)))*(1e-6 + b218)
        =L= 0;

e197..    x137 =E= 0;

e198..    x155 =E= 0;

e199..    x36 - x136 - x137 =E= 0;

e200..    x45 - x154 - x155 =E= 0;

e201..    x136 - 3.04984759446376*b218 =L= 0;

e202..    x137 + 3.04984759446376*b218 =L= 3.04984759446376;

e203..    x154 - 1.11894339953103*b218 =L= 0;

e204..    x155 + 1.11894339953103*b218 =L= 1.11894339953103;

e205.. (x156/(1e-6 + b219) - 0.85*log(1 + x138/(1e-6 + b219)))*(1e-6 + b219)
        =L= 0;

e206..    x139 =E= 0;

e207..    x157 =E= 0;

e208..    x37 - x138 - x139 =E= 0;

e209..    x46 - x156 - x157 =E= 0;

e210..    x138 - 3.04984759446376*b219 =L= 0;

e211..    x139 + 3.04984759446376*b219 =L= 3.04984759446376;

e212..    x156 - 1.18887736200171*b219 =L= 0;

e213..    x157 + 1.18887736200171*b219 =L= 1.18887736200171;

e214.. (x162/(1e-6 + b220) - log(1 + x158/(1e-6 + b220)))*(1e-6 + b220) =L= 0;

e215..    x159 =E= 0;

e216..    x163 =E= 0;

e217..    x48 - x158 - x159 =E= 0;

e218..    x50 - x162 - x163 =E= 0;

e219..    x158 - 1.18887736200171*b220 =L= 0;

e220..    x159 + 1.18887736200171*b220 =L= 1.18887736200171;

e221..    x162 - 0.78338879230327*b220 =L= 0;

e222..    x163 + 0.78338879230327*b220 =L= 0.78338879230327;

e223.. (x164/(1e-6 + b221) - 1.2*log(1 + x160/(1e-6 + b221)))*(1e-6 + b221)
        =L= 0;

e224..    x161 =E= 0;

e225..    x165 =E= 0;

e226..    x49 - x160 - x161 =E= 0;

e227..    x51 - x164 - x165 =E= 0;

e228..    x160 - 1.18887736200171*b221 =L= 0;

e229..    x161 + 1.18887736200171*b221 =L= 1.18887736200171;

e230..    x164 - 0.940066550763924*b221 =L= 0;

e231..    x165 + 0.940066550763924*b221 =L= 0.940066550763924;

e232..  - 0.75*x166 + x174 =E= 0;

e233..    x167 =E= 0;

e234..    x175 =E= 0;

e235..    x55 - x166 - x167 =E= 0;

e236..    x59 - x174 - x175 =E= 0;

e237..    x166 - 0.940066550763924*b222 =L= 0;

e238..    x167 + 0.940066550763924*b222 =L= 0.940066550763924;

e239..    x174 - 0.705049913072943*b222 =L= 0;

e240..    x175 + 0.705049913072943*b222 =L= 0.705049913072943;

e241.. (x176/(1e-6 + b223) - 1.5*log(1 + x168/(1e-6 + b223)))*(1e-6 + b223)
        =L= 0;

e242..    x169 =E= 0;

e243..    x178 =E= 0;

e244..    x56 - x168 - x169 =E= 0;

e245..    x60 - x176 - x178 =E= 0;

e246..    x168 - 0.940066550763924*b223 =L= 0;

e247..    x169 + 0.940066550763924*b223 =L= 0.940066550763924;

e248..    x176 - 0.994083415506506*b223 =L= 0;

e249..    x178 + 0.994083415506506*b223 =L= 0.994083415506506;

e250..  - x170 + x180 =E= 0;

e251..  - 0.5*x172 + x180 =E= 0;

e252..    x171 =E= 0;

e253..    x173 =E= 0;

e254..    x181 =E= 0;

e255..    x57 - x170 - x171 =E= 0;

e256..    x58 - x172 - x173 =E= 0;

e257..    x61 - x180 - x181 =E= 0;

e258..    x170 - 0.940066550763924*b224 =L= 0;

e259..    x171 + 0.940066550763924*b224 =L= 0.940066550763924;

e260..    x172 - 30*b224 =L= 0;

e261..    x173 + 30*b224 =L= 30;

e262..    x180 - 15*b224 =L= 0;

e263..    x181 + 15*b224 =L= 15;

e264.. (x190/(1e-6 + b225) - 1.25*log(1 + x182/(1e-6 + b225)))*(1e-6 + b225)
        =L= 0;

e265..    x183 =E= 0;

e266..    x191 =E= 0;

e267..    x62 - x182 - x183 =E= 0;

e268..    x67 - x190 - x191 =E= 0;

e269..    x182 - 0.705049913072943*b225 =L= 0;

e270..    x183 + 0.705049913072943*b225 =L= 0.705049913072943;

e271..    x190 - 0.666992981045719*b225 =L= 0;

e272..    x191 + 0.666992981045719*b225 =L= 0.666992981045719;

e273.. (x192/(1e-6 + b226) - 0.9*log(1 + x184/(1e-6 + b226)))*(1e-6 + b226)
        =L= 0;

e274..    x185 =E= 0;

e275..    x193 =E= 0;

e276..    x63 - x184 - x185 =E= 0;

e277..    x68 - x192 - x193 =E= 0;

e278..    x184 - 0.705049913072943*b226 =L= 0;

e279..    x185 + 0.705049913072943*b226 =L= 0.705049913072943;

e280..    x192 - 0.480234946352917*b226 =L= 0;

e281..    x193 + 0.480234946352917*b226 =L= 0.480234946352917;

e282.. (x194/(1e-6 + b227) - log(1 + x177/(1e-6 + b227)))*(1e-6 + b227) =L= 0;

e283..    x179 =E= 0;

e284..    x195 =E= 0;

e285..    x60 - x177 - x179 =E= 0;

e286..    x69 - x194 - x195 =E= 0;

e287..    x177 - 0.994083415506506*b227 =L= 0;

e288..    x179 + 0.994083415506506*b227 =L= 0.994083415506506;

e289..    x194 - 0.690184503917672*b227 =L= 0;

e290..    x195 + 0.690184503917672*b227 =L= 0.690184503917672;

e291..  - 0.9*x186 + x196 =E= 0;

e292..    x187 =E= 0;

e293..    x197 =E= 0;

e294..    x64 - x186 - x187 =E= 0;

e295..    x70 - x196 - x197 =E= 0;

e296..    x186 - 15*b228 =L= 0;

e297..    x187 + 15*b228 =L= 15;

e298..    x196 - 13.5*b228 =L= 0;

e299..    x197 + 13.5*b228 =L= 13.5;

e300..  - 0.6*x188 + x198 =E= 0;

e301..    x189 =E= 0;

e302..    x199 =E= 0;

e303..    x65 - x188 - x189 =E= 0;

e304..    x71 - x198 - x199 =E= 0;

e305..    x188 - 15*b229 =L= 0;

e306..    x189 + 15*b229 =L= 15;

e307..    x198 - 9*b229 =L= 0;

e308..    x199 + 9*b229 =L= 9;

e309..    b200 + b201 =E= 1;

e310..  - b202 + b205 + b206 =G= 0;

e311..  - b205 + b211 =G= 0;

e312..  - b206 + b212 =G= 0;

e313..  - b203 + b207 =G= 0;

e314..  - b207 + b213 + b214 =G= 0;

e315..  - b204 + b208 + b209 + b210 =G= 0;

e316..  - b208 + b214 =G= 0;

e317..  - b209 + b215 + b216 =G= 0;

e318..  - b210 + b217 + b218 + b219 =G= 0;

e319..    b200 + b201 - b202 =G= 0;

e320..    b200 + b201 - b203 =G= 0;

e321..    b200 + b201 - b204 =G= 0;

e322..    b202 - b205 =G= 0;

e323..    b202 - b206 =G= 0;

e324..    b203 - b207 =G= 0;

e325..    b204 - b208 =G= 0;

e326..    b204 - b209 =G= 0;

e327..    b204 - b210 =G= 0;

e328..    b205 - b211 =G= 0;

e329..    b206 - b212 =G= 0;

e330..    b207 - b213 =G= 0;

e331..    b207 - b214 =G= 0;

e332..    b209 - b215 =G= 0;

e333..    b209 - b216 =G= 0;

e334..    b210 - b217 =G= 0;

e335..    b210 - b218 =G= 0;

e336..    b210 - b219 =G= 0;

e337..  - b219 + b220 + b221 =G= 0;

e338..  - b222 + b225 + b226 =G= 0;

e339..  - b223 + b227 =G= 0;

e340..    b219 - b220 =G= 0;

e341..    b219 - b221 =G= 0;

e342..    b222 - b225 =G= 0;

e343..    b222 - b226 =G= 0;

e344..    b223 - b227 =G= 0;

e345..    b224 - b228 =G= 0;

e346..    b224 - b229 =G= 0;

* set non-default bounds
x2.up = 40;
x13.up = 30;
x30.up = 20;
x31.up = 20;
x58.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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