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

ramos3 | 2187 | 2187 | 0 | 0 | 2187 | 32805 | F. Ramos | – | open | 220* |

iis-glass-cov | 214 | 214 | 0 | 0 | 5375 | 56133 | Marc Pfetsch | iis | easy | 21 |

glass-sc | 214 | 214 | 0 | 0 | 6119 | 63918 | Marc Pfetsch | maxfeassub | easy | 23 |

v150d30-2hopcds | 150 | 150 | 0 | 0 | 7822 | 103991 | Austin Buchanan | 2hopcds | open | 41* |

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

`No bibliographic information available`

Last Update Nov 30, 2018 by Gregor Hendel

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