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

J. Walser | 10976 | 12526 | 3.39236e-04 | easy | 30_70 | 3 | 30_70_45_095_100.mps.gz |

Geographic radar station allocation

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 10976 | 10975 |

Constraints | 12526 | 12526 |

Binaries | 10975 | 10975 |

Integers | 0 | 0 |

Continuous | 1 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 1 | 0 |

Nonzero Density | 0.000339236 | 0.000339267 |

Nonzeroes | 46640 | 46640 |

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

Total | 12526 | 12526 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 10447 | 10447 |

Variable Bound | 5 | 5 |

Set Partitioning | 0 | 0 |

Set Packing | 0 | 0 |

Set Covering | 18 | 18 |

Cardinality | 0 | 0 |

Invariant Knapsack | 0 | 0 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 2056 | 2056 |

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 | 2.687529 | ||||

Constraint % | 0.0079800 | 0.171988 | 0.191601 | 1.91601 | |

Variable % | 0.0182216 | 0.205686 | 0.227770 | 2.26859 | |

Score | 0.833261 |

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 | 3 | 3 | 0 | 0 | 0 | - | 2018-10-29 | Solution imported from MIPLIB2010. |

1 | 3 | 3 | 0 | 0 | 0 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to 30_70_45_095_100 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.

```
@inproceedings{Walser1997,
author = {Walser, Joachim P.},
booktitle = {Proceedings of the 14th national conference on
artificial intelligence and 9th conference on Innovative applications of
artificial intelligence},
pages = {269--274},
publisher = {AAAI Press},
title = {Solving linear pseudo-Boolean constraint problems with local
search},
year = {1997}
}
@misc{Walser1997b,
author = {J. P. Walser},
note = {http://www.ps.uni-saarland.de/~walser/radar/radar.html},
title = {Radar Surveillance},
year = {1997}
}
```

Last Update Jun 24, 2019 by Gregor Hendel

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