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Instance syn10m03m
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ⓘ | 3354.69080000 (ALPHAECP) 3354.68365200 (ANTIGONE) 3354.68280000 (BARON) 3354.68280000 (BONMIN) 3354.68290000 (COUENNE) 3354.68280000 (LINDO) 3354.68338800 (SCIP) 3354.68368600 (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ⓘ | Syn10M03M.gms from CMU-IBM MINLP solver project page |
| Applicationⓘ | Synthesis of processing system |
| Added to libraryⓘ | 28 Sep 2013 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 165 |
| #Binary Variablesⓘ | 60 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 18 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | max |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 57 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 342 |
| #Linear Constraintsⓘ | 324 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 18 |
| Operands in Gen. Nonlin. Functionsⓘ | log |
| Constraints curvatureⓘ | convex |
| #Nonzeros in Jacobianⓘ | 798 |
| #Nonlinear Nonzeros in Jacobianⓘ | 18 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 18 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 18 |
| #Blocks in Hessian of Lagrangianⓘ | 18 |
| 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ⓘ | 4.3000e+02 |
| Infeasibility of initial pointⓘ | 1 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 343 22 75 246 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 166 106 60 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 856 838 18 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,b77,b78,b79,b80,b81,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,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;
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;
Binary Variables b77,b78,b79,b80,b81,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;
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;
e1.. objvar + x2 + x3 + x4 - 5*x20 - 10*x21 - 5*x22 + 2*x35 + x36 + 2*x37
- 80*x59 - 90*x60 - 120*x61 - 285*x62 - 390*x63 - 350*x64 - 290*x65
- 405*x66 - 190*x67 - 280*x68 - 400*x69 - 430*x70 - 290*x71 - 300*x72
- 240*x73 - 350*x74 - 250*x75 - 300*x76 + 5*b107 + 4*b108 + 6*b109
+ 8*b110 + 7*b111 + 6*b112 + 6*b113 + 9*b114 + 4*b115 + 10*b116 + 9*b117
+ 5*b118 + 6*b119 + 10*b120 + 6*b121 + 7*b122 + 7*b123 + 4*b124 + 4*b125
+ 3*b126 + 2*b127 + 5*b128 + 6*b129 + 7*b130 + 2*b131 + 5*b132 + 2*b133
+ 4*b134 + 7*b135 + 4*b136 =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.. -log(1 + x5) + x11 + b77 =L= 1;
e21.. -log(1 + x6) + x12 + b78 =L= 1;
e22.. -log(1 + x7) + x13 + b79 =L= 1;
e23.. x5 - 40*b77 =L= 0;
e24.. x6 - 40*b78 =L= 0;
e25.. x7 - 40*b79 =L= 0;
e26.. x11 - 3.71357206670431*b77 =L= 0;
e27.. x12 - 3.71357206670431*b78 =L= 0;
e28.. x13 - 3.71357206670431*b79 =L= 0;
e29.. -1.2*log(1 + x8) + x14 + b80 =L= 1;
e30.. -1.2*log(1 + x9) + x15 + b81 =L= 1;
e31.. -1.2*log(1 + x10) + x16 + b82 =L= 1;
e32.. x8 - 40*b80 =L= 0;
e33.. x9 - 40*b81 =L= 0;
e34.. x10 - 40*b82 =L= 0;
e35.. x14 - 4.45628648004517*b80 =L= 0;
e36.. x15 - 4.45628648004517*b81 =L= 0;
e37.. x16 - 4.45628648004517*b82 =L= 0;
e38.. - 0.75*x26 + x38 + b83 =L= 1;
e39.. - 0.75*x27 + x39 + b84 =L= 1;
e40.. - 0.75*x28 + x40 + b85 =L= 1;
e41.. - 0.75*x26 + x38 - b83 =G= -1;
e42.. - 0.75*x27 + x39 - b84 =G= -1;
e43.. - 0.75*x28 + x40 - b85 =G= -1;
e44.. x26 - 4.45628648004517*b83 =L= 0;
e45.. x27 - 4.45628648004517*b84 =L= 0;
e46.. x28 - 4.45628648004517*b85 =L= 0;
e47.. x38 - 3.34221486003388*b83 =L= 0;
e48.. x39 - 3.34221486003388*b84 =L= 0;
e49.. x40 - 3.34221486003388*b85 =L= 0;
e50.. -1.5*log(1 + x29) + x41 + b86 =L= 1;
e51.. -1.5*log(1 + x30) + x42 + b87 =L= 1;
e52.. -1.5*log(1 + x31) + x43 + b88 =L= 1;
e53.. x29 - 4.45628648004517*b86 =L= 0;
e54.. x30 - 4.45628648004517*b87 =L= 0;
e55.. x31 - 4.45628648004517*b88 =L= 0;
e56.. x41 - 2.54515263975353*b86 =L= 0;
e57.. x42 - 2.54515263975353*b87 =L= 0;
e58.. x43 - 2.54515263975353*b88 =L= 0;
e59.. - x32 + x44 + b89 =L= 1;
e60.. - x33 + x45 + b90 =L= 1;
e61.. - x34 + x46 + b91 =L= 1;
e62.. - x32 + x44 - b89 =G= -1;
e63.. - x33 + x45 - b90 =G= -1;
e64.. - x34 + x46 - b91 =G= -1;
e65.. - 0.5*x35 + x44 + b89 =L= 1;
e66.. - 0.5*x36 + x45 + b90 =L= 1;
e67.. - 0.5*x37 + x46 + b91 =L= 1;
e68.. - 0.5*x35 + x44 - b89 =G= -1;
e69.. - 0.5*x36 + x45 - b90 =G= -1;
e70.. - 0.5*x37 + x46 - b91 =G= -1;
e71.. x32 - 4.45628648004517*b89 =L= 0;
e72.. x33 - 4.45628648004517*b90 =L= 0;
e73.. x34 - 4.45628648004517*b91 =L= 0;
e74.. x35 - 30*b89 =L= 0;
e75.. x36 - 30*b90 =L= 0;
e76.. x37 - 30*b91 =L= 0;
e77.. x44 - 15*b89 =L= 0;
e78.. x45 - 15*b90 =L= 0;
e79.. x46 - 15*b91 =L= 0;
e80.. -1.25*log(1 + x47) + x62 + b92 =L= 1;
e81.. -1.25*log(1 + x48) + x63 + b93 =L= 1;
e82.. -1.25*log(1 + x49) + x64 + b94 =L= 1;
e83.. x47 - 3.34221486003388*b92 =L= 0;
e84.. x48 - 3.34221486003388*b93 =L= 0;
e85.. x49 - 3.34221486003388*b94 =L= 0;
e86.. x62 - 1.83548069293539*b92 =L= 0;
e87.. x63 - 1.83548069293539*b93 =L= 0;
e88.. x64 - 1.83548069293539*b94 =L= 0;
e89.. -0.9*log(1 + x50) + x65 + b95 =L= 1;
e90.. -0.9*log(1 + x51) + x66 + b96 =L= 1;
e91.. -0.9*log(1 + x52) + x67 + b97 =L= 1;
e92.. x50 - 3.34221486003388*b95 =L= 0;
e93.. x51 - 3.34221486003388*b96 =L= 0;
e94.. x52 - 3.34221486003388*b97 =L= 0;
e95.. x65 - 1.32154609891348*b95 =L= 0;
e96.. x66 - 1.32154609891348*b96 =L= 0;
e97.. x67 - 1.32154609891348*b97 =L= 0;
e98.. -log(1 + x41) + x68 + b98 =L= 1;
e99.. -log(1 + x42) + x69 + b99 =L= 1;
e100.. -log(1 + x43) + x70 + b100 =L= 1;
e101.. x41 - 2.54515263975353*b98 =L= 0;
e102.. x42 - 2.54515263975353*b99 =L= 0;
e103.. x43 - 2.54515263975353*b100 =L= 0;
e104.. x68 - 1.26558121681553*b98 =L= 0;
e105.. x69 - 1.26558121681553*b99 =L= 0;
e106.. x70 - 1.26558121681553*b100 =L= 0;
e107.. - 0.9*x53 + x71 + b101 =L= 1;
e108.. - 0.9*x54 + x72 + b102 =L= 1;
e109.. - 0.9*x55 + x73 + b103 =L= 1;
e110.. - 0.9*x53 + x71 - b101 =G= -1;
e111.. - 0.9*x54 + x72 - b102 =G= -1;
e112.. - 0.9*x55 + x73 - b103 =G= -1;
e113.. x53 - 15*b101 =L= 0;
e114.. x54 - 15*b102 =L= 0;
e115.. x55 - 15*b103 =L= 0;
e116.. x71 - 13.5*b101 =L= 0;
e117.. x72 - 13.5*b102 =L= 0;
e118.. x73 - 13.5*b103 =L= 0;
e119.. - 0.6*x56 + x74 + b104 =L= 1;
e120.. - 0.6*x57 + x75 + b105 =L= 1;
e121.. - 0.6*x58 + x76 + b106 =L= 1;
e122.. - 0.6*x56 + x74 - b104 =G= -1;
e123.. - 0.6*x57 + x75 - b105 =G= -1;
e124.. - 0.6*x58 + x76 - b106 =G= -1;
e125.. x56 - 15*b104 =L= 0;
e126.. x57 - 15*b105 =L= 0;
e127.. x58 - 15*b106 =L= 0;
e128.. x74 - 9*b104 =L= 0;
e129.. x75 - 9*b105 =L= 0;
e130.. x76 - 9*b106 =L= 0;
e131.. 5*b107 + x137 =L= 0;
e132.. 4*b108 + x138 =L= 0;
e133.. 6*b109 + x139 =L= 0;
e134.. 8*b110 + x140 =L= 0;
e135.. 7*b111 + x141 =L= 0;
e136.. 6*b112 + x142 =L= 0;
e137.. 6*b113 + x143 =L= 0;
e138.. 9*b114 + x144 =L= 0;
e139.. 4*b115 + x145 =L= 0;
e140.. 10*b116 + x146 =L= 0;
e141.. 9*b117 + x147 =L= 0;
e142.. 5*b118 + x148 =L= 0;
e143.. 6*b119 + x149 =L= 0;
e144.. 10*b120 + x150 =L= 0;
e145.. 6*b121 + x151 =L= 0;
e146.. 7*b122 + x152 =L= 0;
e147.. 7*b123 + x153 =L= 0;
e148.. 4*b124 + x154 =L= 0;
e149.. 4*b125 + x155 =L= 0;
e150.. 3*b126 + x156 =L= 0;
e151.. 2*b127 + x157 =L= 0;
e152.. 5*b128 + x158 =L= 0;
e153.. 6*b129 + x159 =L= 0;
e154.. 7*b130 + x160 =L= 0;
e155.. 2*b131 + x161 =L= 0;
e156.. 5*b132 + x162 =L= 0;
e157.. 2*b133 + x163 =L= 0;
e158.. 4*b134 + x164 =L= 0;
e159.. 7*b135 + x165 =L= 0;
e160.. 4*b136 + x166 =L= 0;
e161.. 5*b107 + x137 =G= 0;
e162.. 4*b108 + x138 =G= 0;
e163.. 6*b109 + x139 =G= 0;
e164.. 8*b110 + x140 =G= 0;
e165.. 7*b111 + x141 =G= 0;
e166.. 6*b112 + x142 =G= 0;
e167.. 6*b113 + x143 =G= 0;
e168.. 9*b114 + x144 =G= 0;
e169.. 4*b115 + x145 =G= 0;
e170.. 10*b116 + x146 =G= 0;
e171.. 9*b117 + x147 =G= 0;
e172.. 5*b118 + x148 =G= 0;
e173.. 6*b119 + x149 =G= 0;
e174.. 10*b120 + x150 =G= 0;
e175.. 6*b121 + x151 =G= 0;
e176.. 7*b122 + x152 =G= 0;
e177.. 7*b123 + x153 =G= 0;
e178.. 4*b124 + x154 =G= 0;
e179.. 4*b125 + x155 =G= 0;
e180.. 3*b126 + x156 =G= 0;
e181.. 2*b127 + x157 =G= 0;
e182.. 5*b128 + x158 =G= 0;
e183.. 6*b129 + x159 =G= 0;
e184.. 7*b130 + x160 =G= 0;
e185.. 2*b131 + x161 =G= 0;
e186.. 5*b132 + x162 =G= 0;
e187.. 2*b133 + x163 =G= 0;
e188.. 4*b134 + x164 =G= 0;
e189.. 7*b135 + x165 =G= 0;
e190.. 4*b136 + x166 =G= 0;
e191.. b77 - b78 =L= 0;
e192.. b77 - b79 =L= 0;
e193.. b78 - b79 =L= 0;
e194.. b80 - b81 =L= 0;
e195.. b80 - b82 =L= 0;
e196.. b81 - b82 =L= 0;
e197.. b83 - b84 =L= 0;
e198.. b83 - b85 =L= 0;
e199.. b84 - b85 =L= 0;
e200.. b86 - b87 =L= 0;
e201.. b86 - b88 =L= 0;
e202.. b87 - b88 =L= 0;
e203.. b89 - b90 =L= 0;
e204.. b89 - b91 =L= 0;
e205.. b90 - b91 =L= 0;
e206.. b92 - b93 =L= 0;
e207.. b92 - b94 =L= 0;
e208.. b93 - b94 =L= 0;
e209.. b95 - b96 =L= 0;
e210.. b95 - b97 =L= 0;
e211.. b96 - b97 =L= 0;
e212.. b98 - b99 =L= 0;
e213.. b98 - b100 =L= 0;
e214.. b99 - b100 =L= 0;
e215.. b101 - b102 =L= 0;
e216.. b101 - b103 =L= 0;
e217.. b102 - b103 =L= 0;
e218.. b104 - b105 =L= 0;
e219.. b104 - b106 =L= 0;
e220.. b105 - b106 =L= 0;
e221.. b107 + b108 =L= 1;
e222.. b107 + b109 =L= 1;
e223.. b107 + b108 =L= 1;
e224.. b108 + b109 =L= 1;
e225.. b107 + b109 =L= 1;
e226.. b108 + b109 =L= 1;
e227.. b110 + b111 =L= 1;
e228.. b110 + b112 =L= 1;
e229.. b110 + b111 =L= 1;
e230.. b111 + b112 =L= 1;
e231.. b110 + b112 =L= 1;
e232.. b111 + b112 =L= 1;
e233.. b113 + b114 =L= 1;
e234.. b113 + b115 =L= 1;
e235.. b113 + b114 =L= 1;
e236.. b114 + b115 =L= 1;
e237.. b113 + b115 =L= 1;
e238.. b114 + b115 =L= 1;
e239.. b116 + b117 =L= 1;
e240.. b116 + b118 =L= 1;
e241.. b116 + b117 =L= 1;
e242.. b117 + b118 =L= 1;
e243.. b116 + b118 =L= 1;
e244.. b117 + b118 =L= 1;
e245.. b119 + b120 =L= 1;
e246.. b119 + b121 =L= 1;
e247.. b119 + b120 =L= 1;
e248.. b120 + b121 =L= 1;
e249.. b119 + b121 =L= 1;
e250.. b120 + b121 =L= 1;
e251.. b122 + b123 =L= 1;
e252.. b122 + b124 =L= 1;
e253.. b122 + b123 =L= 1;
e254.. b123 + b124 =L= 1;
e255.. b122 + b124 =L= 1;
e256.. b123 + b124 =L= 1;
e257.. b125 + b126 =L= 1;
e258.. b125 + b127 =L= 1;
e259.. b125 + b126 =L= 1;
e260.. b126 + b127 =L= 1;
e261.. b125 + b127 =L= 1;
e262.. b126 + b127 =L= 1;
e263.. b128 + b129 =L= 1;
e264.. b128 + b130 =L= 1;
e265.. b128 + b129 =L= 1;
e266.. b129 + b130 =L= 1;
e267.. b128 + b130 =L= 1;
e268.. b129 + b130 =L= 1;
e269.. b131 + b132 =L= 1;
e270.. b131 + b133 =L= 1;
e271.. b131 + b132 =L= 1;
e272.. b132 + b133 =L= 1;
e273.. b131 + b133 =L= 1;
e274.. b132 + b133 =L= 1;
e275.. b134 + b135 =L= 1;
e276.. b134 + b136 =L= 1;
e277.. b134 + b135 =L= 1;
e278.. b135 + b136 =L= 1;
e279.. b134 + b136 =L= 1;
e280.. b135 + b136 =L= 1;
e281.. b77 - b107 =L= 0;
e282.. - b77 + b78 - b108 =L= 0;
e283.. - b77 - b78 + b79 - b109 =L= 0;
e284.. b80 - b110 =L= 0;
e285.. - b80 + b81 - b111 =L= 0;
e286.. - b80 - b81 + b82 - b112 =L= 0;
e287.. b83 - b113 =L= 0;
e288.. - b83 + b84 - b114 =L= 0;
e289.. - b83 - b84 + b85 - b115 =L= 0;
e290.. b86 - b116 =L= 0;
e291.. - b86 + b87 - b117 =L= 0;
e292.. - b86 - b87 + b88 - b118 =L= 0;
e293.. b89 - b119 =L= 0;
e294.. - b89 + b90 - b120 =L= 0;
e295.. - b89 - b90 + b91 - b121 =L= 0;
e296.. b92 - b122 =L= 0;
e297.. - b92 + b93 - b123 =L= 0;
e298.. - b92 - b93 + b94 - b124 =L= 0;
e299.. b95 - b125 =L= 0;
e300.. - b95 + b96 - b126 =L= 0;
e301.. - b95 - b96 + b97 - b127 =L= 0;
e302.. b98 - b128 =L= 0;
e303.. - b98 + b99 - b129 =L= 0;
e304.. - b98 - b99 + b100 - b130 =L= 0;
e305.. b101 - b131 =L= 0;
e306.. - b101 + b102 - b132 =L= 0;
e307.. - b101 - b102 + b103 - b133 =L= 0;
e308.. b104 - b134 =L= 0;
e309.. - b104 + b105 - b135 =L= 0;
e310.. - b104 - b105 + b106 - b136 =L= 0;
e311.. b77 + b80 =E= 1;
e312.. b78 + b81 =E= 1;
e313.. b79 + b82 =E= 1;
e314.. - b83 + b92 + b95 =G= 0;
e315.. - b84 + b93 + b96 =G= 0;
e316.. - b85 + b94 + b97 =G= 0;
e317.. - b86 + b98 =G= 0;
e318.. - b87 + b99 =G= 0;
e319.. - b88 + b100 =G= 0;
e320.. b77 + b80 - b83 =G= 0;
e321.. b78 + b81 - b84 =G= 0;
e322.. b79 + b82 - b85 =G= 0;
e323.. b77 + b80 - b86 =G= 0;
e324.. b78 + b81 - b87 =G= 0;
e325.. b79 + b82 - b88 =G= 0;
e326.. b77 + b80 - b89 =G= 0;
e327.. b78 + b81 - b90 =G= 0;
e328.. b79 + b82 - b91 =G= 0;
e329.. b83 - b92 =G= 0;
e330.. b84 - b93 =G= 0;
e331.. b85 - b94 =G= 0;
e332.. b83 - b95 =G= 0;
e333.. b84 - b96 =G= 0;
e334.. b85 - b97 =G= 0;
e335.. b86 - b98 =G= 0;
e336.. b87 - b99 =G= 0;
e337.. b88 - b100 =G= 0;
e338.. b89 - b101 =G= 0;
e339.. b90 - b102 =G= 0;
e340.. b91 - b103 =G= 0;
e341.. b89 - b104 =G= 0;
e342.. b90 - b105 =G= 0;
e343.. b91 - b106 =G= 0;
* set non-default bounds
x2.up = 40;
x3.up = 40;
x4.up = 40;
x35.up = 30;
x36.up = 30;
x37.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