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

A. Atamtürk | 7178 | 2760 | 1.42686e-03 | easy | nxy-z | 15175 | n6-3.mps.gz |

Capacitated network design problem

Imported from the MIPLIB2010 submissions.

Detailed explanation of the following tables can be found here.

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

Variables | 7178 | 7178 |

Constraints | 2760 | 2760 |

Binaries | 0 | 0 |

Integers | 222 | 222 |

Continuous | 6956 | 6956 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00142686 | 0.00142686 |

Nonzeroes | 28268 | 28268 |

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

Total | 2760 | 2760 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 376 | 376 |

Precedence | 0 | 0 |

Variable Bound | 0 | 0 |

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 | 2236 | 2236 |

General Linear | 148 | 148 |

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 | 1.977724 | ||||

Constraint % | 0.978261 | 1.00678 | 0.978261 | 3.65942 | |

Variable % | 1.030930 | 1.06383 | 1.030930 | 4.12371 | |

Score | 0.935489 |

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 | 15175 | 15175 | 8.7e-06 | 0 | 4e-07 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to n6-3 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

n9-3 | easy | 7644 | 0 | 252 | 7392 | 2364 | 30072 | A. Atamtürk | nxy-z | 14409 | decomposition benchmark_suitable aggregations mixed_binary general_linear |

n7-3 | easy | 5626 | 0 | 174 | 5452 | 2336 | 22156 | A. Atamtürk | nxy-z | 15426 | decomposition benchmark_suitable aggregations mixed_binary general_linear |

n5-3 | easy | 2550 | 0 | 150 | 2400 | 1062 | 9900 | A. Atamtürk | nxy-z | 8105 | benchmark decomposition benchmark_suitable aggregations mixed_binary general_linear |

n13-3 | easy | 3472 | 0 | 186 | 3286 | 1723 | 13516 | A. Atamtürk | nxy-z | 13385 | decomposition benchmark_suitable aggregations mixed_binary general_linear |

ta1-UUM | easy | 2288 | 0 | 605 | 1683 | 439 | 5654 | MIPLIB submission pool | network_design | 7518328.2 | decomposition numerics aggregations mixed_binary general_linear |

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Last Update Mai 20, 2021 by Philipp Wellner

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