Submitter | Variables | Constraints | Density | Status | Group | Objective | MPS File |
---|---|---|---|---|---|---|---|

Rob Pratt | 2406 | 35999 | 8.58272e-04 | hard | – | 24.163194443 | tbfp-bigm.mps.gz |

Two formulations (big-M and network-based) for traveling baseball fan problem. Uses data from 2014 Major League Baseball regular season. Paper uses 2014 data: https://support.sas.com/resources/papers/proceedings14/SAS101-2014.pdf Blog post uses 2015 data: https://blogs.sas.com/content/operations/2015/04/03/the-traveling-baseball-fan-problem/

Detailed explanation of the following tables can be found here.

Original | Presolved | |
---|---|---|

Variables | 2406 | 2406 |

Constraints | 35999 | 35995 |

Binaries | 2404 | 2404 |

Integers | 0 | 0 |

Continuous | 2 | 2 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.000858272 | 0.000858321 |

Nonzeroes | 74338 | 74334 |

Original | Presolved | |
---|---|---|

Total | 35999 | 35995 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 4 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 35965 | 35965 |

Set Partitioning | 30 | 30 |

Set Packing | 0 | 0 |

Set Covering | 0 | 0 |

Cardinality | 0 | 0 |

Invariant Knapsack | 0 | 0 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 0 | 0 |

General Linear | 0 | 0 |

Indicator | 0 | 0 |

Available nonzero structure and decomposition information. Further information can be found here.

Decomposed structure of original problem (dec-file)

Decomposed structure after trivial presolving (dec-file)

value | min | median | mean | max | |
---|---|---|---|---|---|

Components | 1.491362 | ||||

Constraint % | 0.00278 | 0.00278 | 0.00278 | 0.00278 | |

Variable % | 3.15877 | 3.33056 | 3.36658 | 3.36658 | |

Score | 0.000806 |

Find solutions below. Download the archive containing all solutions from the Download page.

ID | Objective | Exact | Int. Viol | Cons. Viol | Obj. Viol | Submitter | Date | Description |
---|---|---|---|---|---|---|---|---|

2 | 24.16319 | 24.16319 | 0 | 0 | 0 | Rob Pratt | 2018-11-09 | Obtained by transforming an optimal solution of the related instance tbfp_network |

1 | 25.22917 | 25.22917 | 0 | 0 | 0 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to tbfp-bigm in the collection. This similarity analysis is based on 100 scaled instance features describing properties of the variables, objective function, bounds, constraints, and right hand sides.

Instance | Status | Variables | Binaries | Integers | Continuous | Constraints | Nonz. | Submitter | Group | Objective | Tags |
---|---|---|---|---|---|---|---|---|---|---|---|

neos-5041756-cobark | easy | 60301 | 60000 | 0 | 301 | 30900 | 180900 | Jeff Linderoth | neos-pseudoapplication-12 | Unbounded | decomposition precedence variable_bound set_packing invariant_knapsack mixed_binary |

pw-myciel4 | easy | 1059 | 1058 | 1 | 0 | 8164 | 17779 | Arie Koster | – | 9.999999999999996 | benchmark_suitable precedence variable_bound set_partitioning general_linear |

ns1760995 | easy | 17956 | 17822 | 0 | 134 | 615388 | 1854012 | NEOS Server Submission | neos-pseudoapplication-12 | -549.21438505 | benchmark benchmark_suitable precedence variable_bound set_partitioning set_packing cardinality mixed_binary |

neos-1171448 | easy | 4914 | 2457 | 0 | 2457 | 13206 | 131859 | NEOS Server Submission | neos-pseudoapplication-8 | -309 | benchmark benchmark_suitable variable_bound invariant_knapsack mixed_binary |

graphdraw-domain | easy | 254 | 180 | 20 | 54 | 865 | 2600 | Cézar Augusto Nascimento e Silva | graphdraw | 19685.99997550038 | benchmark benchmark_suitable variable_bound set_partitioning invariant_knapsack mixed_binary general_linear |

```
@INPROCEEDINGS{ChapmanGalatiPratt2014,
author = {Tonya Chapman and Matt Galati and Rob Pratt},
title = {The Traveling Baseball Fan Problem and the OPTMODEL Procedure},
booktitle = {Proceedings of the SAS Global Forum 2014 Conference},
year = {2014},
address = {Cary, NC},
publisher = {SAS Institute Inc.},
note = {\url{http://support.sas.com/resources/papers/proceedings14/SAS101-2014.pdf}}
}
```

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