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

F. Ortega, L. Wolsey | 3040 | 1920 | 1.04167e-03 | easy | mc | 11688.99999999966 | mc11.mps.gz |

Fixed cost network flow problems Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 3040 | 3040 |

Constraints | 1920 | 1920 |

Binaries | 1520 | 1520 |

Integers | 0 | 0 |

Continuous | 1520 | 1520 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00104167 | 0.00104167 |

Nonzeroes | 6080 | 6080 |

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

Total | 1920 | 1920 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 1520 | 1520 |

Set Partitioning | 0 | 0 |

Set Packing | 0 | 0 |

Set Covering | 0 | 0 |

Cardinality | 0 | 0 |

Invariant Knapsack | 0 | 0 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 400 | 400 |

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 | 3.089552 | ||||

Constraint % | 0.0520833 | 0.0675217 | 0.0520833 | 4.79167 | |

Variable % | 0.0657895 | 0.0814332 | 0.0657895 | 4.86842 | |

Score | 0.819416 |

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 | 11689 | 11689 | 0 | 0 | 0 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |

1 | 11689 | 11689 | 0 | 0 | 0 | - | 2018-10-13 | Solution imported from MIPLIB2010. |

The following instances are most similar to mc11 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

mc8 | easy | 3040 | 1520 | 0 | 1520 | 1920 | 6080 | F. Ortega, L. Wolsey | mc | 1566 | decomposition benchmark_suitable variable_bound mixed_binary |

mc7 | easy | 3040 | 1520 | 0 | 1520 | 1920 | 6080 | F. Ortega, L. Wolsey | mc | 3417 | decomposition benchmark_suitable variable_bound mixed_binary |

beasleyC3 | easy | 2500 | 1250 | 0 | 1250 | 1750 | 5000 | F. Ortega, L. Wolsey | beasley | 753.9999999999128 | benchmark decomposition benchmark_suitable aggregations variable_bound mixed_binary |

p500x2988d | easy | 5976 | 2988 | 0 | 2988 | 3488 | 11952 | MIPLIB submission pool | pr_product | 6 | decomposition variable_bound mixed_binary |

brasil | easy | 6612 | 3306 | 0 | 3306 | 3364 | 13224 | MIPLIB submission pool | – | 13655 | decomposition benchmark_suitable variable_bound mixed_binary |

```
@article{OrtegaWolsey2003,
author = {F. Ortega and L.A. Wolsey},
journal = {Networks},
language = {English},
number = {3},
pages = {143--158},
title = {A branch-and-cut algorithm for the single-commodity, uncapacitated, fixed-charge network flow problem},
volume = {41},
year = {2003}
}
```

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