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

A. Bley | 5831 | 175620 | 8.48735e-04 | easy | bley_x | 190 | bley_xl1.mps.gz |

Min-cost network dimensioning problem with finite sets of link capacities and unsplittable flow routing

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 5831 | 5817 |

Constraints | 175620 | 175446 |

Binaries | 5831 | 5817 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.000848735 | 0.000851232 |

Nonzeroes | 869139 | 868741 |

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

Total | 175620 | 175446 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 118 | 0 |

Aggregations | 93 | 93 |

Precedence | 0 | 0 |

Variable Bound | 1410 | 1410 |

Set Partitioning | 168 | 396 |

Set Packing | 3633 | 3654 |

Set Covering | 0 | 0 |

Cardinality | 2027 | 1799 |

Invariant Knapsack | 112607 | 112607 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 1677 |

Knapsack | 78 | 53796 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 55486 | 14 |

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 | 0.602060 | ||||

Constraint % | 0.019965 | 23.1130 | 27.5956 | 41.7234 | |

Variable % | 2.160860 | 33.2533 | 41.0564 | 56.5426 | |

Score | 0.344172 |

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 | 190 | 190 | 0 | 0 | 0 | - | 2018-10-13 | Solution imported from MIPLIB2010. |

2 | 190 | 190 | 0 | 0 | 0 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to bley_xl1 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.

`No bibliographic information available`

Last Update Nov 16, 2020 by Philipp Wellner

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