MINLPLib
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)ⓘ | |
| 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| Removed becauseⓘ | Superseded by syn30hfsg.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 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: 2025-08-07 Git hash: e62cedfc