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

Axel Werner | 48417 | 2187 | 1.88484e-02 | easy | -- | 2639942.06 | co-100.mps.gz |

Model from optical access network planning

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 48417 | 47816 |

Constraints | 2187 | 1886 |

Binaries | 48417 | 47816 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.0188484 | 0.0177129 |

Nonzeroes | 1995820 | 1597370 |

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

Total | 2187 | 1886 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 9 | 7 |

Variable Bound | 2 | 0 |

Set Partitioning | 173 | 173 |

Set Packing | 2 | 2 |

Set Covering | 0 | 0 |

Cardinality | 0 | 0 |

Invariant Knapsack | 1 | 0 |

Equation Knapsack | 0 | 0 |

Bin Packing | 1989 | 1693 |

Knapsack | 11 | 11 |

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 | 1.977724 | ||||

Constraint % | 0.0530223 | 0.10266 | 0.0530223 | 4.71898 | |

Variable % | 0.0228614 | 1.03995 | 0.0228614 | 95.62930 | |

Score | 0.051362 |

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 | 2639942 | 2639942 | 0 | 0 | 0 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to co-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.

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

neos-787933 | easy | 236376 | 236376 | 0 | 0 | 1897 | 298320 | NEOS Server Submission | neos-pseudoapplication-36 | 30 | benchmark binary decomposition benchmark_suitable binpacking mixed_binary |

neos-2328163-agri | easy | 2236 | 2236 | 0 | 0 | 1963 | 12740 | Jeff Linderoth | neos-pseudoapplication-36 | 27674 | binary decomposition benchmark_suitable set_partitioning set_packing set_covering cardinality invariant_knapsack binpacking knapsack |

neos-4355351-swalm | open | 21065 | 10530 | 0 | 10535 | 21609 | 371467 | Jeff Linderoth | neos-pseudoapplication-58 | 33.4575745400831* | variable_bound binpacking mixed_binary |

peg-solitaire-a3 | easy | 4552 | 4552 | 0 | 0 | 4587 | 28387 | Hiroshige Dan ; Koichi Fujii | pegsolitaire | 1 | benchmark binary benchmark_suitable aggregations variable_bound set_partitioning cardinality binpacking |

neos-4333464-siret | easy | 2731 | 1363 | 0 | 1368 | 2880 | 27710 | Jeff Linderoth | neos-pseudoapplication-58 | 24.785819952 | benchmark_suitable variable_bound binpacking mixed_binary |

```
@inproceedings{BentzMartensOrlowskiWernerWessaely2010,
author = {W.~Bentz and M.~Martens and S.~Orlowski and A.~Werner and R.~Wess{\"a}ly},
booktitle = {Breitbandversorgung in Deutschland},
language = {German},
publisher = {VDE-Verlag},
series = {ITG-Fachbericht},
title = {{FTTx-PLAN}: {O}ptimierter {A}ufbau von {FTTx-N}etzen},
volume = {220},
year = {2010}
}
```

Last Update Mai 20, 2021 by Philipp Wellner

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