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

F. Ramos | 2187 | 2187 | 6.85871e-03 | open | -- | 192.0* | ramos3.mps.gz |

Set covering problem from a product manufacturing application

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 2187 | 2187 |

Constraints | 2187 | 2187 |

Binaries | 2187 | 2187 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00685871 | 0.00685871 |

Nonzeroes | 32805 | 32805 |

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

Total | 2187 | 2187 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 0 | 0 |

Set Partitioning | 0 | 0 |

Set Packing | 0 | 0 |

Set Covering | 0 | 2187 |

Cardinality | 0 | 0 |

Invariant Knapsack | 2187 | 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 | 0.30103 | ||||

Constraint % | 100 | 100 | 100 | 100 | |

Variable % | 100 | 100 | 100 | 100 | |

Score | 0.00000 |

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 | 3 | 192 | 192 | 0 | 0 | 0 | Shunsuke Kamiya | 2020-05-17 | Computed with weighting local search with exploiting variable associations (WLS) ([1]) [1] Umetani, Shunji. "Exploiting variable associations to configure efficient local search algorithms in large-scale binary integer programs." European Journal of Operational Research 263.1 (2017): 72-81. |

3 | 2 | 195 | 195 | 0 | 0 | 0 | Ed Klotz | 2019-01-28 | |

2 | 1 | 220 | 220 | 0 | 0 | 0 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to ramos3 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

seymour | easy | 1372 | 1372 | 0 | 0 | 4944 | 33549 | W. Cook, P. Seymour | -- | 423 | benchmark binary benchmark_suitable variable_bound set_covering |

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

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

ex1010-pi | open | 25200 | 25200 | 0 | 0 | 1468 | 102114 | M. Winkler | -- | 235* | binary set_covering |

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

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Last Update Mai 20, 2021 by Philipp Wellner

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