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

A. Chabrier, E. Danna, C. Le Pape, L. Perron | 3117 | 1293 | 2.91568e-03 | easy | rococo | 11460 | rococoC10-001000.mps.gz |

Model for dimensioning the arc capacities in a telecommunication network

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 3117 | 2566 |

Constraints | 1293 | 741 |

Binaries | 2993 | 2442 |

Integers | 124 | 124 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 5 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00291568 | 0.00535341 |

Nonzeroes | 11751 | 10179 |

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

Total | 1293 | 741 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 552 | 0 |

Aggregations | 0 | 0 |

Precedence | 205 | 205 |

Variable Bound | 0 | 0 |

Set Partitioning | 66 | 66 |

Set Packing | 0 | 0 |

Set Covering | 0 | 0 |

Cardinality | 264 | 264 |

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 | 206 | 206 |

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 | 1.875061 | ||||

Constraint % | 0.674764 | 0.975672 | 0.674764 | 1.34953 | |

Variable % | 0.230150 | 1.265820 | 0.230150 | 2.64672 | |

Score | 0.709993 |

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 | 11460 | 11460 | 0 | 0 | 0 | - | 2018-10-29 | Solution found during MIPLIB2017 problem selection. |

1 | 11460 | 11460 | 0 | 0 | 0 | - | 2018-10-13 | Solution imported from MIPLIB2010. |

The following instances are most similar to rococoC10-001000 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 |
---|---|---|---|---|---|---|---|---|---|---|

rococoB10-011000 | 4456 | 4320 | 136 | 0 | 1667 | 16517 | A. Chabrier, E. Danna, C. Le Pape, L. Perron | rococo | easy | 19449 |

rococoC11-011100 | 6491 | 6325 | 166 | 0 | 2367 | 30472 | A. Chabrier, E. Danna, C. Le Pape, L. Perron | rococo | easy | 20889 |

qnet1_o | 1541 | 1288 | 129 | 124 | 456 | 4214 | MIPLIB submission pool | – | easy | 16029.692681 |

qnet1 | 1541 | 1288 | 129 | 124 | 503 | 4622 | MIPLIB submission pool | – | easy | 16029.692681 |

rococoC11-010100 | 12321 | 12155 | 166 | 0 | 4010 | 46955 | A. Chabrier, E. Danna, C. Le Pape, L. Perron | rococo | open | 20889* |

```
@article{ChabrierDannaLePapePerron2004,
author = {Alain Chabrier and Emilie Danna and Claude Le~Pape and
Laurent Perron},
issue = {1-4},
journal = {Annals of Operations Research},
language = {English},
pages = {217--239},
title = {Solving a network design problem},
volume = {130},
year = {2004}
}
```

Last Update Jan 18, 2019 by Gregor Hendel

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