MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance rsyn0820m
Redesign of existing plants to increase throughput, reduce energy consumption, improve yields, and reduce waste generation. Given limited capital investments to make process improvements and cost estimations over a given time horizon, the problem is to identify the modifications that yield the highest economic improvement which is defined as the income from product sales minus the cost of raw materials, energy, and process modifications.
| Formatsⓘ | ams gms mod nl osil py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 1150.300529 (ALPHAECP) 1150.300918 (ANTIGONE) 1150.30077 (BARON) 1606.2723 (BONMIN) 1150.300659 (COUENNE) 1150.300536 (LINDO) 1150.3007 (SCIP) 1262.206825 (SHOT) |
| Referencesⓘ | Sawaya, Nicolas W, Reformulations, relaxations and cutting planes for generalized disjunctive programming, PhD thesis, Carnegie Mellon University, 2006. |
| Sourceⓘ | RSyn0820M.gms from CMU-IBM MINLP solver project page |
| Applicationⓘ | Retrofit Planning |
| Added to libraryⓘ | 28 Sep 2013 |
| Problem typeⓘ | MBNLP |
| #Variablesⓘ | 215 |
| #Binary Variablesⓘ | 84 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 14 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | max |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 65 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 371 |
| #Linear Constraintsⓘ | 357 |
| #Quadratic Constraintsⓘ | 0 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 14 |
| Operands in Gen. Nonlin. Functionsⓘ | log |
| Constraints curvatureⓘ | convex |
| #Nonzeros in Jacobianⓘ | 910 |
| #Nonlinear Nonzeros in Jacobianⓘ | 14 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 14 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 14 |
| #Blocks in Hessian of Lagrangianⓘ | 14 |
| 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ⓘ | 2.0000e-01 |
| Maximal coefficientⓘ | 7.0000e+02 |
| Infeasibility of initial pointⓘ | 1 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 372 79 114 179 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 216 132 84 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 976 962 14 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,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
,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,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,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206
,b207,b208,b209,b210,b211,b212,b213,b214,b215,b216;
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,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;
Binary Variables 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,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b197,b198
,b199,b200,b201,b202,b203,b204,b205,b206,b207,b208,b209,b210,b211
,b212,b213,b214,b215,b216;
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;
e1.. objvar + 10*x2 + 15*x7 + 18*x11 + 19*x23 - 35*x27 - 28*x29 + 16*x30
- 2*x33 - 3*x34 - 5*x35 - 4*x36 + 6*b89 + 40*b90 + 46*b91 + 7*b93
+ 30*b94 + 37*b95 + 7*b97 + 15*b98 + 22*b99 + 11*b101 + 13*b102 + 24*b103
+ 10*b105 + 13*b106 + 23*b107 + 9*b109 + 30*b110 + 39*b111 + 8*b113
+ 20*b114 + 28*b115 + 8*b117 + 15*b118 + 23*b119 - 5*x158 - 200*x188
- 250*x189 - 200*x190 - 700*x191 - 400*x192 - 500*x193 - 400*x194
- 600*x195 - 700*x196 + 5*b197 + 8*b198 + 6*b199 + 10*b200 + 6*b201
+ 7*b202 + 4*b203 + 5*b204 + 2*b205 + 4*b206 + 3*b207 + 7*b208 + 3*b209
+ 2*b210 + 4*b211 + 2*b212 + 3*b213 + 5*b214 + 2*b215 + 8*b216 =E= 0;
e2.. x2 - 0.2*x37 =E= 0;
e3.. x3 - 0.2*x38 =E= 0;
e4.. x4 - 0.2*x39 =E= 0;
e5.. x5 - 0.2*x40 =E= 0;
e6.. x6 - 0.2*x41 =E= 0;
e7.. x7 - 0.5*x42 =E= 0;
e8.. x8 - 0.5*x43 =E= 0;
e9.. x9 - 0.7*x44 =E= 0;
e10.. x10 - 0.7*x45 =E= 0;
e11.. x11 - 1.2*x46 =E= 0;
e12.. x12 - 1.2*x47 =E= 0;
e13.. x13 - 0.5*x48 =E= 0;
e14.. x14 - 0.7*x49 =E= 0;
e15.. x15 - 1.2*x50 =E= 0;
e16.. x16 - 1.2*x51 =E= 0;
e17.. x17 - 1.2*x52 =E= 0;
e18.. x18 - 1.2*x53 =E= 0;
e19.. x19 - 0.3*x54 =E= 0;
e20.. x20 - 0.9*x55 =E= 0;
e21.. x21 - 0.3*x56 =E= 0;
e22.. x22 - 0.9*x57 =E= 0;
e23.. x23 - 0.4*x58 =E= 0;
e24.. x24 - 0.4*x59 =E= 0;
e25.. x25 - 0.4*x60 =E= 0;
e26.. x26 - 1.6*x61 =E= 0;
e27.. x27 - 1.6*x62 =E= 0;
e28.. x28 - 1.1*x63 =E= 0;
e29.. x29 - 1.1*x64 =E= 0;
e30.. x30 - 0.7*x65 =E= 0;
e31.. x31 - 0.7*x66 =E= 0;
e32.. x32 - 0.7*x67 =E= 0;
e33.. x33 - 0.2*x68 =E= 0;
e34.. x34 - 0.7*x69 =E= 0;
e35.. x35 - 0.3*x70 =E= 0;
e36.. x36 - 0.9*x71 =E= 0;
e37.. x27 =G= 0.4;
e38.. x29 =G= 0.3;
e39.. x33 =G= 0.2;
e40.. x34 =G= 0.5;
e41.. x35 =G= 0.2;
e42.. x36 =G= 0.3;
e43.. x2 =L= 35;
e44.. x7 =L= 36;
e45.. x11 =L= 25;
e46.. x23 =L= 24;
e47.. x30 =L= 30;
e48.. x2 - x3 - x4 =E= 0;
e49.. x5 - x6 =E= 0;
e50.. x7 - x8 + x13 =E= 0;
e51.. x9 - x10 + x14 =E= 0;
e52.. x11 - x12 - x15 =E= 0;
e53.. x16 - x17 - x18 =E= 0;
e54.. x19 - x21 =E= 0;
e55.. x20 - x22 =E= 0;
e56.. x23 - x24 - x25 =E= 0;
e57.. x26 - x27 =E= 0;
e58.. x28 - x29 =E= 0;
e59.. x30 - x31 =E= 0;
e60.. x3 - x5 - x72 =E= 0;
e61.. x4 + x8 - x9 - x73 =E= 0;
e62.. x12 - x13 - x14 - x74 =E= 0;
e63.. x15 - x16 - x75 =E= 0;
e64.. x18 - x19 - x20 - x76 =E= 0;
e65.. x17 + x24 - x26 - x77 =E= 0;
e66.. x25 - x28 + x32 - x78 =E= 0;
e67.. x31 - x32 - x79 =E= 0;
e68.. x39 - x43 =L= 0;
e69.. x52 - x59 =L= 0;
e70.. x60 - x67 =L= 0;
e71.. - 0.8*x38 + x40 + 148.75*b88 =L= 148.75;
e72.. - 0.85*x38 + x40 + 148.75*b89 =L= 148.75;
e73.. - 0.8*x38 + x40 + 148.75*b90 =L= 148.75;
e74.. - 0.85*x38 + x40 + 148.75*b91 =L= 148.75;
e75.. - 0.8*x38 + x40 - 148.75*b88 =G= -148.75;
e76.. - 0.85*x38 + x40 - 148.75*b89 =G= -148.75;
e77.. - 0.8*x38 + x40 - 148.75*b90 =G= -148.75;
e78.. - 0.85*x38 + x40 - 148.75*b91 =G= -148.75;
e79.. - 0.9*x39 + x44 + 254.045833333333*b92 =L= 254.045833333333;
e80.. - 0.95*x39 + x44 + 254.045833333333*b93 =L= 254.045833333333;
e81.. - 0.9*x39 + x44 + 254.045833333333*b94 =L= 254.045833333333;
e82.. - 0.95*x39 + x44 + 254.045833333333*b95 =L= 254.045833333333;
e83.. - 0.9*x39 + x44 - 166.25*b92 =G= -166.25;
e84.. - 0.95*x39 + x44 - 166.25*b93 =G= -166.25;
e85.. - 0.9*x39 + x44 - 166.25*b94 =G= -166.25;
e86.. - 0.95*x39 + x44 - 166.25*b95 =G= -166.25;
e87.. - 0.85*x47 + x48 + 20.4166666666667*b96 =L= 20.4166666666667;
e88.. - 0.98*x47 + x48 + 20.4166666666667*b97 =L= 20.4166666666667;
e89.. - 0.85*x47 + x48 + 20.4166666666667*b98 =L= 20.4166666666667;
e90.. - 0.98*x47 + x48 + 20.4166666666667*b99 =L= 20.4166666666667;
e91.. - 0.85*x47 + x49 + 20.4166666666667*b96 =L= 20.4166666666667;
e92.. - 0.98*x47 + x49 + 20.4166666666667*b97 =L= 20.4166666666667;
e93.. - 0.85*x47 + x49 + 20.4166666666667*b98 =L= 20.4166666666667;
e94.. - 0.98*x47 + x49 + 20.4166666666667*b99 =L= 20.4166666666667;
e95.. - 0.85*x47 + x48 - 20.4166666666667*b96 =G= -20.4166666666667;
e96.. - 0.98*x47 + x48 - 20.4166666666667*b97 =G= -20.4166666666667;
e97.. - 0.85*x47 + x48 - 20.4166666666667*b98 =G= -20.4166666666667;
e98.. - 0.98*x47 + x48 - 20.4166666666667*b99 =G= -20.4166666666667;
e99.. - 0.85*x47 + x49 - 20.4166666666667*b96 =G= -20.4166666666667;
e100.. - 0.98*x47 + x49 - 20.4166666666667*b97 =G= -20.4166666666667;
e101.. - 0.85*x47 + x49 - 20.4166666666667*b98 =G= -20.4166666666667;
e102.. - 0.98*x47 + x49 - 20.4166666666667*b99 =G= -20.4166666666667;
e103.. - 0.85*x50 + x51 + 18.75*b100 =L= 18.75;
e104.. - 0.9*x50 + x51 + 18.75*b101 =L= 18.75;
e105.. - 0.85*x50 + x51 + 18.75*b102 =L= 18.75;
e106.. - 0.9*x50 + x51 + 18.75*b103 =L= 18.75;
e107.. - 0.85*x50 + x51 - 18.75*b100 =G= -18.75;
e108.. - 0.9*x50 + x51 - 18.75*b101 =G= -18.75;
e109.. - 0.85*x50 + x51 - 18.75*b102 =G= -18.75;
e110.. - 0.9*x50 + x51 - 18.75*b103 =G= -18.75;
e111.. - 0.75*x53 + x54 + 17.8125*b104 =L= 17.8125;
e112.. - 0.95*x53 + x54 + 17.8125*b105 =L= 17.8125;
e113.. - 0.9*x53 + x54 + 17.8125*b106 =L= 17.8125;
e114.. - 0.95*x53 + x54 + 17.8125*b107 =L= 17.8125;
e115.. - 0.75*x53 + x55 + 17.8125*b104 =L= 17.8125;
e116.. - 0.95*x53 + x55 + 17.8125*b105 =L= 17.8125;
e117.. - 0.9*x53 + x55 + 17.8125*b106 =L= 17.8125;
e118.. - 0.95*x53 + x55 + 17.8125*b107 =L= 17.8125;
e119.. - 0.75*x53 + x54 - 17.8125*b104 =G= -17.8125;
e120.. - 0.95*x53 + x54 - 17.8125*b105 =G= -17.8125;
e121.. - 0.9*x53 + x54 - 17.8125*b106 =G= -17.8125;
e122.. - 0.95*x53 + x54 - 17.8125*b107 =G= -17.8125;
e123.. - 0.75*x53 + x55 - 17.8125*b104 =G= -17.8125;
e124.. - 0.95*x53 + x55 - 17.8125*b105 =G= -17.8125;
e125.. - 0.9*x53 + x55 - 17.8125*b106 =G= -17.8125;
e126.. - 0.95*x53 + x55 - 17.8125*b107 =G= -17.8125;
e127.. - 0.8*x52 + x61 + 66.9375*b108 =L= 66.9375;
e128.. - 0.85*x52 + x61 + 66.9375*b109 =L= 66.9375;
e129.. - 0.8*x52 + x61 + 66.9375*b110 =L= 66.9375;
e130.. - 0.85*x52 + x61 + 66.9375*b111 =L= 66.9375;
e131.. - 0.8*x52 + x61 - 15.9375*b108 =G= -15.9375;
e132.. - 0.85*x52 + x61 - 15.9375*b109 =G= -15.9375;
e133.. - 0.8*x52 + x61 - 15.9375*b110 =G= -15.9375;
e134.. - 0.85*x52 + x61 - 15.9375*b111 =G= -15.9375;
e135.. - 0.85*x60 + x63 + 94.4571428571429*b112 =L= 94.4571428571429;
e136.. - 0.95*x60 + x63 + 94.4571428571429*b113 =L= 94.4571428571429;
e137.. - 0.85*x60 + x63 + 94.4571428571429*b114 =L= 94.4571428571429;
e138.. - 0.95*x60 + x63 + 94.4571428571429*b115 =L= 94.4571428571429;
e139.. - 0.85*x60 + x63 - 57*b112 =G= -57;
e140.. - 0.95*x60 + x63 - 57*b113 =G= -57;
e141.. - 0.85*x60 + x63 - 57*b114 =G= -57;
e142.. - 0.95*x60 + x63 - 57*b115 =G= -57;
e143.. - 0.8*x66 + x67 + 39.4285714285714*b116 =L= 39.4285714285714;
e144.. - 0.92*x66 + x67 + 39.4285714285714*b117 =L= 39.4285714285714;
e145.. - 0.8*x66 + x67 + 39.4285714285714*b118 =L= 39.4285714285714;
e146.. - 0.92*x66 + x67 + 39.4285714285714*b119 =L= 39.4285714285714;
e147.. - 0.8*x66 + x67 - 39.4285714285714*b116 =G= -39.4285714285714;
e148.. - 0.92*x66 + x67 - 39.4285714285714*b117 =G= -39.4285714285714;
e149.. - 0.8*x66 + x67 - 39.4285714285714*b118 =G= -39.4285714285714;
e150.. - 0.92*x66 + x67 - 39.4285714285714*b119 =G= -39.4285714285714;
e151.. x3 + 25*b88 =L= 35;
e152.. x3 + 25*b89 =L= 35;
e153.. x3 - 15*b90 =L= 35;
e154.. x3 - 15*b91 =L= 35;
e155.. x4 + x8 + 56*b92 =L= 96;
e156.. x4 + x8 + 56*b93 =L= 96;
e157.. x4 + x8 + 36*b94 =L= 96;
e158.. x4 + x8 + 36*b95 =L= 96;
e159.. x12 + 10*b96 =L= 25;
e160.. x12 + 10*b97 =L= 25;
e161.. x12 =L= 25;
e162.. x12 =L= 25;
e163.. x15 + 10*b100 =L= 25;
e164.. x15 + 10*b101 =L= 25;
e165.. x15 + 5*b102 =L= 25;
e166.. x15 + 5*b103 =L= 25;
e167.. x18 + 15*b104 =L= 25;
e168.. x18 + 15*b105 =L= 25;
e169.. x18 + 5*b106 =L= 25;
e170.. x18 + 5*b107 =L= 25;
e171.. x17 + x24 + 29*b108 =L= 49;
e172.. x17 + x24 + 29*b109 =L= 49;
e173.. x17 + x24 - 6*b110 =L= 49;
e174.. x17 + x24 - 6*b111 =L= 49;
e175.. x25 + x32 + 29*b112 =L= 54;
e176.. x25 + x32 + 29*b113 =L= 54;
e177.. x25 + x32 + 4*b114 =L= 54;
e178.. x25 + x32 + 4*b115 =L= 54;
e179.. x31 + 15*b116 =L= 30;
e180.. x31 + 15*b117 =L= 30;
e181.. x31 - 5*b118 =L= 30;
e182.. x31 - 5*b119 =L= 30;
e183.. x80 + 46*b120 =L= 46;
e184.. x80 + 40*b121 =L= 46;
e185.. x80 + 6*b122 =L= 46;
e186.. x80 =L= 46;
e187.. x81 + 37*b124 =L= 37;
e188.. x81 + 30*b125 =L= 37;
e189.. x81 + 7*b126 =L= 37;
e190.. x81 =L= 37;
e191.. x82 + 22*b128 =L= 22;
e192.. x82 + 15*b129 =L= 22;
e193.. x82 + 7*b130 =L= 22;
e194.. x82 =L= 22;
e195.. x83 + 24*b132 =L= 24;
e196.. x83 + 13*b133 =L= 24;
e197.. x83 + 11*b134 =L= 24;
e198.. x83 =L= 24;
e199.. x84 + 23*b136 =L= 23;
e200.. x84 + 13*b137 =L= 23;
e201.. x84 + 10*b138 =L= 23;
e202.. x84 =L= 23;
e203.. x85 + 39*b140 =L= 39;
e204.. x85 + 30*b141 =L= 39;
e205.. x85 + 9*b142 =L= 39;
e206.. x85 =L= 39;
e207.. x86 + 28*b144 =L= 28;
e208.. x86 + 20*b145 =L= 28;
e209.. x86 + 8*b146 =L= 28;
e210.. x86 =L= 28;
e211.. x87 + 23*b148 =L= 23;
e212.. x87 + 15*b149 =L= 23;
e213.. x87 + 8*b150 =L= 23;
e214.. x87 =L= 23;
e215.. x80 =G= 0;
e216.. x80 - 6*b121 =G= 0;
e217.. x80 - 40*b122 =G= 0;
e218.. x80 - 46*b123 =G= 0;
e219.. x81 =G= 0;
e220.. x81 - 7*b125 =G= 0;
e221.. x81 - 30*b126 =G= 0;
e222.. x81 - 37*b127 =G= 0;
e223.. x82 =G= 0;
e224.. x82 - 7*b129 =G= 0;
e225.. x82 - 15*b130 =G= 0;
e226.. x82 - 22*b131 =G= 0;
e227.. x83 =G= 0;
e228.. x83 - 11*b133 =G= 0;
e229.. x83 - 13*b134 =G= 0;
e230.. x83 - 24*b135 =G= 0;
e231.. x84 =G= 0;
e232.. x84 - 10*b137 =G= 0;
e233.. x84 - 13*b138 =G= 0;
e234.. x84 - 23*b139 =G= 0;
e235.. x85 =G= 0;
e236.. x85 - 9*b141 =G= 0;
e237.. x85 - 30*b142 =G= 0;
e238.. x85 - 39*b143 =G= 0;
e239.. x86 =G= 0;
e240.. x86 - 8*b145 =G= 0;
e241.. x86 - 20*b146 =G= 0;
e242.. x86 - 28*b147 =G= 0;
e243.. x87 =G= 0;
e244.. x87 - 8*b149 =G= 0;
e245.. x87 - 15*b150 =G= 0;
e246.. x87 - 23*b151 =G= 0;
e247.. 10*x2 + 15*x7 + 18*x11 + 19*x23 + 16*x30 + x80 + x81 + x82 + x83
+ x84 + x85 + x86 + x87 =L= 4000;
e248.. b88 + b89 + b90 + b91 =E= 1;
e249.. b92 + b93 + b94 + b95 =E= 1;
e250.. b96 + b97 + b98 + b99 =E= 1;
e251.. b100 + b101 + b102 + b103 =E= 1;
e252.. b104 + b105 + b106 + b107 =E= 1;
e253.. b108 + b109 + b110 + b111 =E= 1;
e254.. b112 + b113 + b114 + b115 =E= 1;
e255.. b116 + b117 + b118 + b119 =E= 1;
e256.. x6 - x33 - x152 =E= 0;
e257.. x10 - x34 - x163 =E= 0;
e258.. x21 - x35 - x180 =E= 0;
e259.. x22 - x36 - x181 =E= 0;
e260.. x152 - x153 - x154 =E= 0;
e261.. - x155 - x156 + x157 =E= 0;
e262.. x157 - x158 - x159 =E= 0;
e263.. x159 - x160 - x161 - x162 =E= 0;
e264.. x164 - x167 - x168 =E= 0;
e265.. x166 - x169 - x170 - x171 =E= 0;
e266.. x174 - x178 - x179 =E= 0;
e267.. - x175 - x181 + x182 =E= 0;
e268.. x176 - x183 - x184 =E= 0;
e269.. x177 - x185 - x186 - x187 =E= 0;
e270.. -log(1 + x153) + x155 + b197 =L= 1;
e271.. x153 - 10*b197 =L= 0;
e272.. x155 - 2.39789527279837*b197 =L= 0;
e273.. -1.2*log(1 + x154) + x156 + b198 =L= 1;
e274.. x154 - 10*b198 =L= 0;
e275.. x156 - 2.87747432735804*b198 =L= 0;
e276.. - 0.75*x160 + x164 + b199 =L= 1;
e277.. - 0.75*x160 + x164 - b199 =G= -1;
e278.. x160 - 2.87747432735804*b199 =L= 0;
e279.. x164 - 2.15810574551853*b199 =L= 0;
e280.. -1.5*log(1 + x161) + x165 + b200 =L= 1;
e281.. x161 - 2.87747432735804*b200 =L= 0;
e282.. x165 - 2.03277599268042*b200 =L= 0;
e283.. - x162 + x166 + b201 =L= 1;
e284.. - x162 + x166 - b201 =G= -1;
e285.. - 0.5*x163 + x166 + b201 =L= 1;
e286.. - 0.5*x163 + x166 - b201 =G= -1;
e287.. x162 - 2.87747432735804*b201 =L= 0;
e288.. x163 - 7*b201 =L= 0;
e289.. x166 - 3.5*b201 =L= 0;
e290.. -1.25*log(1 + x167) + x172 + b202 =L= 1;
e291.. x167 - 2.15810574551853*b202 =L= 0;
e292.. x172 - 1.43746550029693*b202 =L= 0;
e293.. -0.9*log(1 + x168) + x173 + b203 =L= 1;
e294.. x168 - 2.15810574551853*b203 =L= 0;
e295.. x173 - 1.03497516021379*b203 =L= 0;
e296.. -log(1 + x165) + x174 + b204 =L= 1;
e297.. x165 - 2.03277599268042*b204 =L= 0;
e298.. x174 - 1.10947836929589*b204 =L= 0;
e299.. - 0.9*x169 + x175 + b205 =L= 1;
e300.. - 0.9*x169 + x175 - b205 =G= -1;
e301.. x169 - 3.5*b205 =L= 0;
e302.. x175 - 3.15*b205 =L= 0;
e303.. - 0.6*x170 + x176 + b206 =L= 1;
e304.. - 0.6*x170 + x176 - b206 =G= -1;
e305.. x170 - 3.5*b206 =L= 0;
e306.. x176 - 2.1*b206 =L= 0;
e307.. -1.1*log(1 + x171) + x177 + b207 =L= 1;
e308.. x171 - 3.5*b207 =L= 0;
e309.. x177 - 1.6544851364539*b207 =L= 0;
e310.. - 0.9*x172 + x188 + b208 =L= 1;
e311.. - 0.9*x172 + x188 - b208 =G= -1;
e312.. - x180 + x188 + b208 =L= 1;
e313.. - x180 + x188 - b208 =G= -1;
e314.. x172 - 1.43746550029693*b208 =L= 0;
e315.. x180 - 5*b208 =L= 0;
e316.. x188 - 5*b208 =L= 0;
e317.. -log(1 + x173) + x189 + b209 =L= 1;
e318.. x173 - 1.03497516021379*b209 =L= 0;
e319.. x189 - 0.710483612536911*b209 =L= 0;
e320.. -0.7*log(1 + x178) + x190 + b210 =L= 1;
e321.. x178 - 1.10947836929589*b210 =L= 0;
e322.. x190 - 0.522508489006913*b210 =L= 0;
e323.. -0.65*log(1 + x179) + x191 + b211 =L= 1;
e324.. -0.65*log(1 + x182) + x191 + b211 =L= 1;
e325.. x179 - 1.10947836929589*b211 =L= 0;
e326.. x182 - 8.15*b211 =L= 0;
e327.. x191 - 1.43894002153683*b211 =L= 0;
e328.. - x183 + x192 + b212 =L= 1;
e329.. - x183 + x192 - b212 =G= -1;
e330.. x183 - 2.1*b212 =L= 0;
e331.. x192 - 2.1*b212 =L= 0;
e332.. - x184 + x193 + b213 =L= 1;
e333.. - x184 + x193 - b213 =G= -1;
e334.. x184 - 2.1*b213 =L= 0;
e335.. x193 - 2.1*b213 =L= 0;
e336.. -0.75*log(1 + x185) + x194 + b214 =L= 1;
e337.. x185 - 1.6544851364539*b214 =L= 0;
e338.. x194 - 0.732188035236726*b214 =L= 0;
e339.. -0.8*log(1 + x186) + x195 + b215 =L= 1;
e340.. x186 - 1.6544851364539*b215 =L= 0;
e341.. x195 - 0.781000570919175*b215 =L= 0;
e342.. -0.85*log(1 + x187) + x196 + b216 =L= 1;
e343.. x187 - 1.6544851364539*b216 =L= 0;
e344.. x196 - 0.829813106601623*b216 =L= 0;
e345.. b197 + b198 =E= 1;
e346.. - b199 + b202 + b203 =G= 0;
e347.. - b202 + b208 =G= 0;
e348.. - b203 + b209 =G= 0;
e349.. - b200 + b204 =G= 0;
e350.. - b204 + b210 + b211 =G= 0;
e351.. - b201 + b205 + b206 + b207 =G= 0;
e352.. - b205 + b211 =G= 0;
e353.. - b206 + b212 + b213 =G= 0;
e354.. - b207 + b214 + b215 + b216 =G= 0;
e355.. b197 + b198 - b199 =G= 0;
e356.. b197 + b198 - b200 =G= 0;
e357.. b197 + b198 - b201 =G= 0;
e358.. b199 - b202 =G= 0;
e359.. b199 - b203 =G= 0;
e360.. b200 - b204 =G= 0;
e361.. b201 - b205 =G= 0;
e362.. b201 - b206 =G= 0;
e363.. b201 - b207 =G= 0;
e364.. b202 - b208 =G= 0;
e365.. b203 - b209 =G= 0;
e366.. b204 - b210 =G= 0;
e367.. b204 - b211 =G= 0;
e368.. b206 - b212 =G= 0;
e369.. b206 - b213 =G= 0;
e370.. b207 - b214 =G= 0;
e371.. b207 - b215 =G= 0;
e372.. b207 - b216 =G= 0;
* set non-default bounds
x152.up = 10;
x163.up = 7;
x180.up = 5;
x181.up = 5;
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: 2026-09-14 Git hash: 9472b011