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

A. Bley | 3243 | 3290 | 2.41455e-03 | open | bley_x | 3874310.51* | bley_xs1noM.mps.gz |

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

Imported from the MIPLIB2010 submissions.

Detailed explanation of the following tables can be found here.

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

Variables | 3243 | 2703 |

Constraints | 3290 | 1828 |

Binaries | 2360 | 2010 |

Integers | 883 | 693 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00241455 | 0.00383802 |

Nonzeroes | 25762 | 18964 |

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

Total | 3290 | 1828 |

Empty | 968 | 0 |

Free | 0 | 0 |

Singleton | 12 | 0 |

Aggregations | 28 | 28 |

Precedence | 0 | 0 |

Variable Bound | 42 | 243 |

Set Partitioning | 168 | 168 |

Set Packing | 0 | 188 |

Set Covering | 82 | 84 |

Cardinality | 0 | 0 |

Invariant Knapsack | 0 | 7 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 320 | 348 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 422 | 24 |

General Linear | 1248 | 738 |

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 | 2.593286 | ||||

Constraint % | 0.0547046 | 0.0994756 | 0.0547046 | 0.547046 | |

Variable % | 0.0737463 | 0.2118080 | 0.2212390 | 0.626844 | |

Score | 0.387929 |

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 | 3 | 3873691 | 3873691 | 0 | 0 | 0 | Ed Klotz | 2020-09-11 | Obtained with Gurobi. |

3 | 2 | 3874311 | 0 | 0 | 0 | Robert Ashford and Alkis Vazacopoulus | 2019-12-18 | Found using ODH|CPlex | |

2 | 1 | 3894896 | 3894896 | 0 | 0 | 0 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to bley_xs1noM 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 Mai 20, 2021 by Philipp Wellner

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