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

C. Raack | 22414 | 499 | 1.53814e-02 | open | ger50 | 3969.4334* | ger50-17-trans-dfn-3t.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 | 22414 | 22382 |

Constraints | 499 | 498 |

Binaries | 0 | 0 |

Integers | 18062 | 18062 |

Continuous | 4352 | 4320 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.0153814 | 0.0154258 |

Nonzeroes | 172035 | 171940 |

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

Total | 499 | 498 |

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 | 226 | 226 |

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 | 1.230449 | ||||

Constraint % | 3.41365 | 3.41365 | 3.41365 | 3.41365 | |

Variable % | 1.20633 | 1.20633 | 1.20633 | 1.20633 | |

Score | 0.539596 |

Find solutions below. Download the archive containing all solutions from the Download page.

`## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion`

ID | Objective | Exact | Int. Viol | Cons. Viol | Obj. Viol | Submitter | Date | Description |
---|---|---|---|---|---|---|---|---|

3 | 3969.433 | 0 | 7e-07 | 0 | Edward Rothberg | 2019-12-13 | Obtained with Gurobi 9.0 | |

2 | 3991.682 | 0 | 0e+00 | 0 | Robert Ashford and Alkis Vazacopoulus | 2019-12-18 | Found using ODH|CPlex | |

1 | 4004.582 | 4004.582 | 0 | 0e+00 | 0 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to ger50-17-trans-dfn-3t 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-trans-pop-3t | open | 22414 | 0 | 18062 | 4352 | 499 | 172035 | C. Raack | ger50 | 4038.441* | 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-ptp-pop-3t | open | 4892 | 0 | 540 | 4352 | 545 | 14285 | C. Raack | ger50 | 5224.5144* | mixed_binary general_linear |

ger50-17-ptp-pop-6t | hard | 4892 | 0 | 540 | 4352 | 545 | 14285 | C. Raack | ger50 | 8942.6328 | mixed_binary general_linear |

ta1-UUM | easy | 2288 | 0 | 605 | 1683 | 439 | 5654 | MIPLIB submission pool | network_design | 7518328.199999998 | decomposition numerics aggregations mixed_binary general_linear |

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