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

A. Chabrier, E. Danna, C. Le Pape, L. Perron | 4456 | 1667 | 2.22357e-03 | easy | rococo | 19449 | rococoB10-011000.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 | 4456 | 3646 |

Constraints | 1667 | 856 |

Binaries | 4320 | 3510 |

Integers | 136 | 136 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 98 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00222357 | 0.00455851 |

Nonzeroes | 16517 | 14227 |

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

Total | 1667 | 856 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 811 | 0 |

Aggregations | 0 | 0 |

Precedence | 180 | 180 |

Variable Bound | 0 | 0 |

Set Partitioning | 90 | 90 |

Set Packing | 0 | 0 |

Set Covering | 0 | 0 |

Cardinality | 360 | 360 |

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 | 226 | 226 |

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 | 1.959041 | ||||

Constraint % | 0.817757 | 0.992991 | 0.992991 | 1.16822 | |

Variable % | 0.216743 | 1.097260 | 1.097260 | 1.97778 | |

Score | 0.882497 |

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 | 19449 | 19449 | 0 | 0 | 0 | - | 2018-10-13 | Solution imported from MIPLIB2010. |

2 | 19449 | 19449 | 0 | 0 | 0 | - | 2018-10-29 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to rococoB10-011000 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.

```
@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 Mai 20, 2021 by Philipp Wellner

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