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

A. Chabrier, E. Danna, C. Le Pape, L. Perron | 6491 | 2367 | 1.98331e-03 | easy | rococo | 20889 | rococoC11-011100.mps.gz |

Model for dimensioning the arc capacities in a telecommunication network. Solved by Gurobi 4.5.1 (4 threads) in 66892.47 seconds.

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 6491 | 5391 |

Constraints | 2367 | 1266 |

Binaries | 6325 | 5225 |

Integers | 166 | 166 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00198331 | 0.00384967 |

Nonzeroes | 30472 | 26274 |

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

Total | 2367 | 1266 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 1101 | 0 |

Aggregations | 220 | 220 |

Precedence | 165 | 165 |

Variable Bound | 0 | 0 |

Set Partitioning | 110 | 110 |

Set Packing | 0 | 0 |

Set Covering | 0 | 0 |

Cardinality | 495 | 495 |

Invariant Knapsack | 55 | 55 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 0 | 0 |

General Linear | 221 | 221 |

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 | 2.045323 | ||||

Constraint % | 0.710900 | 0.825793 | 0.789889 | 0.947867 | |

Variable % | 0.128535 | 0.899743 | 0.899743 | 1.670950 | |

Score | 0.899225 |

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 | 20889 | 20889 | 0 | 0 | 0 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to rococoC11-011100 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

rococoC11-010100 | hard | 12321 | 12155 | 166 | 0 | 4010 | 46955 | A. Chabrier, E. Danna, C. Le Pape, L. Perron | rococo | 20889 | decomposition aggregations precedence set_partitioning cardinality invariant_knapsack general_linear |

rococoB10-011000 | easy | 4456 | 4320 | 136 | 0 | 1667 | 16517 | A. Chabrier, E. Danna, C. Le Pape, L. Perron | rococo | 19449 | benchmark decomposition benchmark_suitable precedence set_partitioning cardinality general_linear |

rococoC10-001000 | easy | 3117 | 2993 | 124 | 0 | 1293 | 11751 | A. Chabrier, E. Danna, C. Le Pape, L. Perron | rococo | 11460 | benchmark benchmark_suitable precedence set_partitioning cardinality general_linear |

qnet1_o | easy | 1541 | 1288 | 129 | 124 | 456 | 4214 | MIPLIB submission pool | – | 16029.692681 | decomposition aggregations precedence variable_bound set_partitioning cardinality general_linear |

qnet1 | easy | 1541 | 1288 | 129 | 124 | 503 | 4622 | MIPLIB submission pool | – | 16029.692681 | aggregations precedence variable_bound set_partitioning set_covering cardinality general_linear |

```
@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 Aug 13, 2020 by Gabriel Kressin

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