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

W. Cook, P. Seymour | 1372 | 4944 | 4.94592e-03 | easy | -- | 423 | seymour.mps.gz |

A set-covering problem that arose from work related to the proof of the 4-color theorem.

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 1372 | 1255 |

Constraints | 4944 | 4827 |

Binaries | 1372 | 1255 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00494592 | 0.00551876 |

Nonzeroes | 33549 | 33432 |

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

Total | 4944 | 4827 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 117 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 285 | 285 |

Set Partitioning | 0 | 0 |

Set Packing | 0 | 0 |

Set Covering | 4542 | 4542 |

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 | 0.7781512 | ||||

Constraint % | 0.0207168 | 18.8191 | 0.0207168 | 94.0128 | |

Variable % | 0.2186590 | 17.3469 | 0.2915450 | 85.5685 | |

Score | 0.1365010 |

No solution available for seymour .

The following instances are most similar to seymour 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

ramos3 | open | 2187 | 2187 | 0 | 0 | 2187 | 32805 | F. Ramos | -- | 186.0* | binary set_covering |

iis-glass-cov | easy | 214 | 214 | 0 | 0 | 5375 | 56133 | Marc Pfetsch | iis | 20.99999999999999 | binary benchmark_suitable set_covering |

glass-sc | easy | 214 | 214 | 0 | 0 | 6119 | 63918 | Marc Pfetsch | maxfeassub | 23 | benchmark binary benchmark_suitable set_covering |

v150d30-2hopcds | hard | 150 | 150 | 0 | 0 | 7822 | 103991 | Austin Buchanan | 2hopcds | 41.0 | binary variable_bound set_covering |

iis-hc-cov | easy | 297 | 297 | 0 | 0 | 9727 | 142971 | Marc Pfetsch | iis | 17 | binary benchmark_suitable set_covering |

`No bibliographic information available`

Last Update Dec 06, 2022 by Jan Krüger

generated with R Markdown

© 2022 by Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)

Imprint