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

A. Chabrier, E. Danna, C. Le Pape, L. Perron | 12321 | 4010 | 9.50367e-04 | hard | rococo | 20889 | rococoC11-010100.mps.gz |

Model for dimensioning the arc capacities in a telecommunication network. Imported from the MIPLIB2010 submissions.

Detailed explanation of the following tables can be found here.

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

Variables | 12321 | 10214 |

Constraints | 4010 | 1902 |

Binaries | 12155 | 10048 |

Integers | 166 | 166 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.000950367 | 0.002097230 |

Nonzeroes | 46955 | 40743 |

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

Total | 4010 | 1902 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 2108 | 0 |

Aggregations | 220 | 220 |

Precedence | 165 | 165 |

Variable Bound | 0 | 0 |

Set Partitioning | 216 | 216 |

Set Packing | 0 | 0 |

Set Covering | 0 | 0 |

Cardinality | 972 | 972 |

Invariant Knapsack | 108 | 108 |

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 | 2.214844 | ||||

Constraint % | 0.4731860 | 0.573500 | 0.630915 | 0.630915 | |

Variable % | 0.0681663 | 0.610151 | 0.886162 | 0.886162 | |

Score | 0.928650 |

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 | 20889 | 20889 | 0 | 0 | 0 | Ishibashi Yasumi | 2019-06-04 | optimal solution as reported by ParaNUOPT after 32368 seconds using 9 cores in total |

1 | 20889 | 20889 | 0 | 0 | 0 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to rococoC11-010100 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

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

rococoC12-010001 | hard | 16741 | 16554 | 187 | 0 | 4636 | 59832 | A. Chabrier, E. Danna, C. Le Pape, L. Perron | rococo | 34045.0 | decomposition precedence set_partitioning cardinality knapsack 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 |

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