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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance syn15m02m
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ⓘ | 2832.74890000 (ALPHAECP) 2832.74899900 (ANTIGONE) 2832.74889900 (BARON) 2832.74890000 (BONMIN) 2832.74890000 (COUENNE) 2832.74890000 (LINDO) 2832.74908900 (SCIP) 2832.74914000 (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ⓘ | Syn15M02M.gms from CMU-IBM MINLP solver project page |
| Applicationⓘ | Synthesis of processing system |
| Added to libraryⓘ | 28 Sep 2013 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 170 |
| #Binary Variablesⓘ | 60 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 22 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | max |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 52 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 313 |
| #Linear Constraintsⓘ | 291 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 22 |
| Operands in Gen. Nonlin. Functionsⓘ | log |
| Constraints curvatureⓘ | convex |
| #Nonzeros in Jacobianⓘ | 731 |
| #Nonlinear Nonzeros in Jacobianⓘ | 22 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 22 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 22 |
| #Blocks in Hessian of Lagrangianⓘ | 22 |
| 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ⓘ | 5.0000e-01 |
| Maximal coefficientⓘ | 6.0000e+02 |
| Infeasibility of initial pointⓘ | 1 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 314 23 84 207 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 171 111 60 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 784 762 22 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,b82,b83,b84,b85,b86
,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102
,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115
,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128
,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141
,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;
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;
Binary Variables b82,b83,b84,b85,b86,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96
,b97,b98,b99,b100,b101,b102,b103,b104,b105,b106,b107,b108,b109,b110
,b111,b112,b113,b114,b115,b116,b117,b118,b119,b120,b121,b122,b123
,b124,b125,b126,b127,b128,b129,b130,b131,b132,b133,b134,b135,b136
,b137,b138,b139,b140,b141;
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;
e1.. objvar + x2 + x3 - 5*x14 - 10*x15 + 2*x24 + x25 - 500*x50 - 600*x51
- 350*x52 - 400*x53 + 10*x58 + 5*x59 + 5*x60 + 5*x61 - 80*x74 - 130*x75
- 110*x76 - 120*x77 - 110*x78 - 130*x79 - 80*x80 - 90*x81 + 5*b112
+ 4*b113 + 8*b114 + 7*b115 + 6*b116 + 9*b117 + 10*b118 + 9*b119 + 6*b120
+ 10*b121 + 7*b122 + 7*b123 + 4*b124 + 3*b125 + 5*b126 + 6*b127 + 2*b128
+ 5*b129 + 4*b130 + 7*b131 + 3*b132 + 9*b133 + 7*b134 + 2*b135 + 3*b136
+ b137 + 2*b138 + 6*b139 + 4*b140 + 8*b141 =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.. -log(1 + x4) + x8 + b82 =L= 1;
e23.. -log(1 + x5) + x9 + b83 =L= 1;
e24.. x4 - 40*b82 =L= 0;
e25.. x5 - 40*b83 =L= 0;
e26.. x8 - 3.71357206670431*b82 =L= 0;
e27.. x9 - 3.71357206670431*b83 =L= 0;
e28.. -1.2*log(1 + x6) + x10 + b84 =L= 1;
e29.. -1.2*log(1 + x7) + x11 + b85 =L= 1;
e30.. x6 - 40*b84 =L= 0;
e31.. x7 - 40*b85 =L= 0;
e32.. x10 - 4.45628648004517*b84 =L= 0;
e33.. x11 - 4.45628648004517*b85 =L= 0;
e34.. - 0.75*x18 + x26 + b86 =L= 1;
e35.. - 0.75*x19 + x27 + b87 =L= 1;
e36.. - 0.75*x18 + x26 - b86 =G= -1;
e37.. - 0.75*x19 + x27 - b87 =G= -1;
e38.. x18 - 4.45628648004517*b86 =L= 0;
e39.. x19 - 4.45628648004517*b87 =L= 0;
e40.. x26 - 3.34221486003388*b86 =L= 0;
e41.. x27 - 3.34221486003388*b87 =L= 0;
e42.. -1.5*log(1 + x20) + x28 + b88 =L= 1;
e43.. -1.5*log(1 + x21) + x29 + b89 =L= 1;
e44.. x20 - 4.45628648004517*b88 =L= 0;
e45.. x21 - 4.45628648004517*b89 =L= 0;
e46.. x28 - 2.54515263975353*b88 =L= 0;
e47.. x29 - 2.54515263975353*b89 =L= 0;
e48.. - x22 + x30 + b90 =L= 1;
e49.. - x23 + x31 + b91 =L= 1;
e50.. - x22 + x30 - b90 =G= -1;
e51.. - x23 + x31 - b91 =G= -1;
e52.. - 0.5*x24 + x30 + b90 =L= 1;
e53.. - 0.5*x25 + x31 + b91 =L= 1;
e54.. - 0.5*x24 + x30 - b90 =G= -1;
e55.. - 0.5*x25 + x31 - b91 =G= -1;
e56.. x22 - 4.45628648004517*b90 =L= 0;
e57.. x23 - 4.45628648004517*b91 =L= 0;
e58.. x24 - 30*b90 =L= 0;
e59.. x25 - 30*b91 =L= 0;
e60.. x30 - 15*b90 =L= 0;
e61.. x31 - 15*b91 =L= 0;
e62.. -1.25*log(1 + x32) + x42 + b92 =L= 1;
e63.. -1.25*log(1 + x33) + x43 + b93 =L= 1;
e64.. x32 - 3.34221486003388*b92 =L= 0;
e65.. x33 - 3.34221486003388*b93 =L= 0;
e66.. x42 - 1.83548069293539*b92 =L= 0;
e67.. x43 - 1.83548069293539*b93 =L= 0;
e68.. -0.9*log(1 + x34) + x44 + b94 =L= 1;
e69.. -0.9*log(1 + x35) + x45 + b95 =L= 1;
e70.. x34 - 3.34221486003388*b94 =L= 0;
e71.. x35 - 3.34221486003388*b95 =L= 0;
e72.. x44 - 1.32154609891348*b94 =L= 0;
e73.. x45 - 1.32154609891348*b95 =L= 0;
e74.. -log(1 + x28) + x46 + b96 =L= 1;
e75.. -log(1 + x29) + x47 + b97 =L= 1;
e76.. x28 - 2.54515263975353*b96 =L= 0;
e77.. x29 - 2.54515263975353*b97 =L= 0;
e78.. x46 - 1.26558121681553*b96 =L= 0;
e79.. x47 - 1.26558121681553*b97 =L= 0;
e80.. - 0.9*x36 + x48 + b98 =L= 1;
e81.. - 0.9*x37 + x49 + b99 =L= 1;
e82.. - 0.9*x36 + x48 - b98 =G= -1;
e83.. - 0.9*x37 + x49 - b99 =G= -1;
e84.. x36 - 15*b98 =L= 0;
e85.. x37 - 15*b99 =L= 0;
e86.. x48 - 13.5*b98 =L= 0;
e87.. x49 - 13.5*b99 =L= 0;
e88.. - 0.6*x38 + x50 + b100 =L= 1;
e89.. - 0.6*x39 + x51 + b101 =L= 1;
e90.. - 0.6*x38 + x50 - b100 =G= -1;
e91.. - 0.6*x39 + x51 - b101 =G= -1;
e92.. x38 - 15*b100 =L= 0;
e93.. x39 - 15*b101 =L= 0;
e94.. x50 - 9*b100 =L= 0;
e95.. x51 - 9*b101 =L= 0;
e96.. -1.1*log(1 + x40) + x52 + b102 =L= 1;
e97.. -1.1*log(1 + x41) + x53 + b103 =L= 1;
e98.. x40 - 15*b102 =L= 0;
e99.. x41 - 15*b103 =L= 0;
e100.. x52 - 3.04984759446376*b102 =L= 0;
e101.. x53 - 3.04984759446376*b103 =L= 0;
e102.. - 0.9*x42 + x74 + b104 =L= 1;
e103.. - 0.9*x43 + x75 + b105 =L= 1;
e104.. - 0.9*x42 + x74 - b104 =G= -1;
e105.. - 0.9*x43 + x75 - b105 =G= -1;
e106.. - x58 + x74 + b104 =L= 1;
e107.. - x59 + x75 + b105 =L= 1;
e108.. - x58 + x74 - b104 =G= -1;
e109.. - x59 + x75 - b105 =G= -1;
e110.. x42 - 1.83548069293539*b104 =L= 0;
e111.. x43 - 1.83548069293539*b105 =L= 0;
e112.. x58 - 20*b104 =L= 0;
e113.. x59 - 20*b105 =L= 0;
e114.. x74 - 20*b104 =L= 0;
e115.. x75 - 20*b105 =L= 0;
e116.. -log(1 + x44) + x76 + b106 =L= 1;
e117.. -log(1 + x45) + x77 + b107 =L= 1;
e118.. x44 - 1.32154609891348*b106 =L= 0;
e119.. x45 - 1.32154609891348*b107 =L= 0;
e120.. x76 - 0.842233385663186*b106 =L= 0;
e121.. x77 - 0.842233385663186*b107 =L= 0;
e122.. -0.7*log(1 + x54) + x78 + b108 =L= 1;
e123.. -0.7*log(1 + x55) + x79 + b109 =L= 1;
e124.. x54 - 1.26558121681553*b108 =L= 0;
e125.. x55 - 1.26558121681553*b109 =L= 0;
e126.. x78 - 0.572481933717686*b108 =L= 0;
e127.. x79 - 0.572481933717686*b109 =L= 0;
e128.. -0.65*log(1 + x56) + x80 + b110 =L= 1;
e129.. -0.65*log(1 + x57) + x81 + b111 =L= 1;
e130.. -0.65*log(1 + x62) + x80 + b110 =L= 1;
e131.. -0.65*log(1 + x63) + x81 + b111 =L= 1;
e132.. x56 - 1.26558121681553*b110 =L= 0;
e133.. x57 - 1.26558121681553*b111 =L= 0;
e134.. x62 - 33.5*b110 =L= 0;
e135.. x63 - 33.5*b111 =L= 0;
e136.. x80 - 2.30162356062425*b110 =L= 0;
e137.. x81 - 2.30162356062425*b111 =L= 0;
e138.. 5*b112 + x142 =L= 0;
e139.. 4*b113 + x143 =L= 0;
e140.. 8*b114 + x144 =L= 0;
e141.. 7*b115 + x145 =L= 0;
e142.. 6*b116 + x146 =L= 0;
e143.. 9*b117 + x147 =L= 0;
e144.. 10*b118 + x148 =L= 0;
e145.. 9*b119 + x149 =L= 0;
e146.. 6*b120 + x150 =L= 0;
e147.. 10*b121 + x151 =L= 0;
e148.. 7*b122 + x152 =L= 0;
e149.. 7*b123 + x153 =L= 0;
e150.. 4*b124 + x154 =L= 0;
e151.. 3*b125 + x155 =L= 0;
e152.. 5*b126 + x156 =L= 0;
e153.. 6*b127 + x157 =L= 0;
e154.. 2*b128 + x158 =L= 0;
e155.. 5*b129 + x159 =L= 0;
e156.. 4*b130 + x160 =L= 0;
e157.. 7*b131 + x161 =L= 0;
e158.. 3*b132 + x162 =L= 0;
e159.. 9*b133 + x163 =L= 0;
e160.. 7*b134 + x164 =L= 0;
e161.. 2*b135 + x165 =L= 0;
e162.. 3*b136 + x166 =L= 0;
e163.. b137 + x167 =L= 0;
e164.. 2*b138 + x168 =L= 0;
e165.. 6*b139 + x169 =L= 0;
e166.. 4*b140 + x170 =L= 0;
e167.. 8*b141 + x171 =L= 0;
e168.. 5*b112 + x142 =G= 0;
e169.. 4*b113 + x143 =G= 0;
e170.. 8*b114 + x144 =G= 0;
e171.. 7*b115 + x145 =G= 0;
e172.. 6*b116 + x146 =G= 0;
e173.. 9*b117 + x147 =G= 0;
e174.. 10*b118 + x148 =G= 0;
e175.. 9*b119 + x149 =G= 0;
e176.. 6*b120 + x150 =G= 0;
e177.. 10*b121 + x151 =G= 0;
e178.. 7*b122 + x152 =G= 0;
e179.. 7*b123 + x153 =G= 0;
e180.. 4*b124 + x154 =G= 0;
e181.. 3*b125 + x155 =G= 0;
e182.. 5*b126 + x156 =G= 0;
e183.. 6*b127 + x157 =G= 0;
e184.. 2*b128 + x158 =G= 0;
e185.. 5*b129 + x159 =G= 0;
e186.. 4*b130 + x160 =G= 0;
e187.. 7*b131 + x161 =G= 0;
e188.. 3*b132 + x162 =G= 0;
e189.. 9*b133 + x163 =G= 0;
e190.. 7*b134 + x164 =G= 0;
e191.. 2*b135 + x165 =G= 0;
e192.. 3*b136 + x166 =G= 0;
e193.. b137 + x167 =G= 0;
e194.. 2*b138 + x168 =G= 0;
e195.. 6*b139 + x169 =G= 0;
e196.. 4*b140 + x170 =G= 0;
e197.. 8*b141 + x171 =G= 0;
e198.. b82 - b83 =L= 0;
e199.. b84 - b85 =L= 0;
e200.. b86 - b87 =L= 0;
e201.. b88 - b89 =L= 0;
e202.. b90 - b91 =L= 0;
e203.. b92 - b93 =L= 0;
e204.. b94 - b95 =L= 0;
e205.. b96 - b97 =L= 0;
e206.. b98 - b99 =L= 0;
e207.. b100 - b101 =L= 0;
e208.. b102 - b103 =L= 0;
e209.. b104 - b105 =L= 0;
e210.. b106 - b107 =L= 0;
e211.. b108 - b109 =L= 0;
e212.. b110 - b111 =L= 0;
e213.. b112 + b113 =L= 1;
e214.. b112 + b113 =L= 1;
e215.. b114 + b115 =L= 1;
e216.. b114 + b115 =L= 1;
e217.. b116 + b117 =L= 1;
e218.. b116 + b117 =L= 1;
e219.. b118 + b119 =L= 1;
e220.. b118 + b119 =L= 1;
e221.. b120 + b121 =L= 1;
e222.. b120 + b121 =L= 1;
e223.. b122 + b123 =L= 1;
e224.. b122 + b123 =L= 1;
e225.. b124 + b125 =L= 1;
e226.. b124 + b125 =L= 1;
e227.. b126 + b127 =L= 1;
e228.. b126 + b127 =L= 1;
e229.. b128 + b129 =L= 1;
e230.. b128 + b129 =L= 1;
e231.. b130 + b131 =L= 1;
e232.. b130 + b131 =L= 1;
e233.. b132 + b133 =L= 1;
e234.. b132 + b133 =L= 1;
e235.. b134 + b135 =L= 1;
e236.. b134 + b135 =L= 1;
e237.. b136 + b137 =L= 1;
e238.. b136 + b137 =L= 1;
e239.. b138 + b139 =L= 1;
e240.. b138 + b139 =L= 1;
e241.. b140 + b141 =L= 1;
e242.. b140 + b141 =L= 1;
e243.. b82 - b112 =L= 0;
e244.. - b82 + b83 - b113 =L= 0;
e245.. b84 - b114 =L= 0;
e246.. - b84 + b85 - b115 =L= 0;
e247.. b86 - b116 =L= 0;
e248.. - b86 + b87 - b117 =L= 0;
e249.. b88 - b118 =L= 0;
e250.. - b88 + b89 - b119 =L= 0;
e251.. b90 - b120 =L= 0;
e252.. - b90 + b91 - b121 =L= 0;
e253.. b92 - b122 =L= 0;
e254.. - b92 + b93 - b123 =L= 0;
e255.. b94 - b124 =L= 0;
e256.. - b94 + b95 - b125 =L= 0;
e257.. b96 - b126 =L= 0;
e258.. - b96 + b97 - b127 =L= 0;
e259.. b98 - b128 =L= 0;
e260.. - b98 + b99 - b129 =L= 0;
e261.. b100 - b130 =L= 0;
e262.. - b100 + b101 - b131 =L= 0;
e263.. b102 - b132 =L= 0;
e264.. - b102 + b103 - b133 =L= 0;
e265.. b104 - b134 =L= 0;
e266.. - b104 + b105 - b135 =L= 0;
e267.. b106 - b136 =L= 0;
e268.. - b106 + b107 - b137 =L= 0;
e269.. b108 - b138 =L= 0;
e270.. - b108 + b109 - b139 =L= 0;
e271.. b110 - b140 =L= 0;
e272.. - b110 + b111 - b141 =L= 0;
e273.. b82 + b84 =E= 1;
e274.. b83 + b85 =E= 1;
e275.. - b86 + b92 + b94 =G= 0;
e276.. - b87 + b93 + b95 =G= 0;
e277.. - b92 + b104 =G= 0;
e278.. - b93 + b105 =G= 0;
e279.. - b94 + b106 =G= 0;
e280.. - b95 + b107 =G= 0;
e281.. - b88 + b96 =G= 0;
e282.. - b89 + b97 =G= 0;
e283.. - b96 + b108 + b110 =G= 0;
e284.. - b97 + b109 + b111 =G= 0;
e285.. - b90 + b98 + b100 + b102 =G= 0;
e286.. - b91 + b99 + b101 + b103 =G= 0;
e287.. - b98 + b110 =G= 0;
e288.. - b99 + b111 =G= 0;
e289.. b82 + b84 - b86 =G= 0;
e290.. b83 + b85 - b87 =G= 0;
e291.. b82 + b84 - b88 =G= 0;
e292.. b83 + b85 - b89 =G= 0;
e293.. b82 + b84 - b90 =G= 0;
e294.. b83 + b85 - b91 =G= 0;
e295.. b86 - b92 =G= 0;
e296.. b87 - b93 =G= 0;
e297.. b86 - b94 =G= 0;
e298.. b87 - b95 =G= 0;
e299.. b88 - b96 =G= 0;
e300.. b89 - b97 =G= 0;
e301.. b90 - b98 =G= 0;
e302.. b91 - b99 =G= 0;
e303.. b90 - b100 =G= 0;
e304.. b91 - b101 =G= 0;
e305.. b90 - b102 =G= 0;
e306.. b91 - b103 =G= 0;
e307.. b92 - b104 =G= 0;
e308.. b93 - b105 =G= 0;
e309.. b94 - b106 =G= 0;
e310.. b95 - b107 =G= 0;
e311.. b96 - b108 =G= 0;
e312.. b97 - b109 =G= 0;
e313.. b96 - b110 =G= 0;
e314.. b97 - b111 =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;
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