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

Rob Pratt | 72747 | 2436 | 1.21796e-03 | easy | – | 24.16319444 | tbfp-network.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: http://support.sas.com/resources/papers/proceedings14/SAS101-2014.pdf Blog post uses 2015 data: http://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 | 72747 | 72747 |

Constraints | 2436 | 2436 |

Binaries | 72747 | 72747 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00121796 | 0.00121796 |

Nonzeroes | 215837 | 215837 |

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

Total | 2436 | 2436 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 0 | 0 |

Set Partitioning | 42 | 58 |

Set Packing | 0 | 0 |

Set Covering | 0 | 0 |

Cardinality | 2394 | 2378 |

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 | 0.301030 | ||||

Constraint % | 97.6190 | 97.6190 | 97.6190 | 97.6190 | |

Variable % | 99.9285 | 99.9285 | 99.9285 | 99.9285 | |

Score | 0.000698 |

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 |
---|---|---|---|---|---|---|---|---|

1 | 24.16319 | 24.16319 | 0 | 0 | 0 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to tbfp-network 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-4531126-vouga | open | 169996 | 169996 | 0 | 0 | 7694 | 967980 | Jeff Linderoth | neos-pseudoapplication-87 | 544045.0657848* | binary decomposition numerics set_partitioning cardinality invariant_knapsack binpacking mixed_binary |

datt256 | open | 262144 | 262144 | 0 | 0 | 11077 | 1503730 | Jon Dattorro | – | no_solution binary set_partitioning cardinality | |

s100 | hard | 364417 | 364417 | 0 | 0 | 14733 | 1777920 | Daniel Espinoza | Spinoza | -0.1697235270583 | benchmark binary benchmark_suitable aggregations set_partitioning set_packing cardinality invariant_knapsack knapsack |

supportcase6 | easy | 130052 | 130051 | 1 | 0 | 771 | 584976 | Michael Winkler | – | 51906.47737 | benchmark benchmark_suitable set_partitioning cardinality general_linear |

nu120-pr9 | easy | 7350 | 7308 | 42 | 0 | 2220 | 22176 | MIPLIB submission pool | nus-prxy | 24945 | decomposition numerics aggregations variable_bound cardinality 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}}
}
```

Last Update Jul 31, 2019 by Gregor Hendel

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