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

C. Raack | 4892 | 545 | 5.35793e-03 | hard | ger50 | 8942.6328 | ger50-17-ptp-pop-6t.mps.gz |

Multi-layer network design problem using a link-flow formulation over a path-flow formulation.

Imported from the MIPLIB2010 submissions.

Detailed explanation of the following tables can be found here.

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

Variables | 4892 | 4860 |

Constraints | 545 | 544 |

Binaries | 0 | 0 |

Integers | 540 | 540 |

Continuous | 4352 | 4320 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00535793 | 0.00536757 |

Nonzeroes | 14285 | 14191 |

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

Total | 545 | 544 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

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 | 273 | 272 |

General Linear | 272 | 272 |

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 | 2.181844 | ||||

Constraint % | 0.1838240 | 0.495471 | 0.1838240 | 3.12500 | |

Variable % | 0.0823045 | 0.662252 | 0.0823045 | 5.55556 | |

Score | 0.720180 |

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 | |
---|---|---|---|---|---|---|---|---|---|

3 | 4 | 8942.633 | 0.0e+00 | 0e+00 | 0 | Hans Mittelmann | 2019-12-24 | ||

1 | 3 | 8943.913 | 7.9e-06 | 3e-07 | 0 | Edward Rothberg | 2020-02-04 | Found with Gurobi 9.0 | |

4 | 2 | 8944.949 | 0.0e+00 | 0e+00 | 0 | Robert Ashford and Alkis Vazacopoulus | 2019-12-18 | Found using ODH|CPlex | |

2 | 1 | 8947.531 | 8947.531 | 0.0e+00 | 0e+00 | 0 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to ger50-17-ptp-pop-6t 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

ger50-17-ptp-pop-3t | open | 4892 | 0 | 540 | 4352 | 545 | 14285 | C. Raack | ger50 | 5231.10985069602* | mixed_binary general_linear |

ger50_17_trans | hard | 22414 | 0 | 18062 | 4352 | 499 | 172035 | C. Raack | ger50 | 7393.2618 | numerics mixed_binary general_linear |

ger50-17-trans-dfn-3t | open | 22414 | 0 | 18062 | 4352 | 499 | 172035 | C. Raack | ger50 | 3969.4334* | mixed_binary general_linear |

ger50-17-trans-pop-3t | open | 22414 | 0 | 18062 | 4352 | 499 | 172035 | C. Raack | ger50 | 4038.441* | 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 Jun 24, 2020 by Gabriel Kressin

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