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

C. Liebchen, R. Möhring | 397 | 171 | 1.22115e-02 | easy | timtab | 764772 | timtab1.mps.gz |

Public transport scheduling problem

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 397 | 384 |

Constraints | 171 | 171 |

Binaries | 77 | 64 |

Integers | 94 | 94 |

Continuous | 226 | 226 |

Implicit Integers | 0 | 0 |

Fixed Variables | 13 | 0 |

Nonzero Density | 0.0122115 | 0.0124269 |

Nonzeroes | 829 | 816 |

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

Total | 171 | 171 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 2 |

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 | 77 | 75 |

General Linear | 94 | 94 |

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 | 1.204120 | ||||

Constraint % | 0.584795 | 3.00195 | 1.75439 | 12.2807 | |

Variable % | 0.520833 | 3.35069 | 2.08333 | 11.7188 | |

Score | 0.421677 |

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 | 764772 | 764772 | 0 | 0 | 0 | - | 2018-10-13 | Solution imported from MIPLIB2010. |

1 | 764772 | 764772 | 0 | 0 | 0 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to timtab1 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

nh97_tension | easy | 1576 | 257 | 361 | 958 | 737 | 5264 | MIPLIB submission pool | – | 1418 | benchmark_suitable aggregations mixed_binary general_linear |

icir97_potential | open | 2112 | 1235 | 422 | 455 | 3314 | 9942 | MIPLIB submission pool | – | 6325* | precedence mixed_binary general_linear |

ic97_potential | easy | 728 | 450 | 73 | 205 | 1046 | 3138 | L. Peeters | – | 3942 | benchmark benchmark_suitable precedence mixed_binary general_linear |

timtab1CUTS | easy | 397 | 77 | 94 | 226 | 371 | 1742 | C. Liebchen, R. Möhring | timtab | 764772 | benchmark_suitable aggregations precedence variable_bound invariant_knapsack mixed_binary general_linear |

icir97_tension | easy | 2494 | 262 | 573 | 1659 | 1203 | 22333 | MIPLIB submission pool | – | 6375 | benchmark benchmark_suitable aggregations mixed_binary general_linear |

```
@techreport{LiebchenMoehring2003,
author = {C. Liebchen and R. H. {M\"ohring}},
instance = {timetab1,timetab2},
institution = {Technische {Universit\"at} Berlin, Dept. of Mathematics},
language = {English},
number = {2003/49},
title = {Information on the {MIPLIB}'s timetab-instances},
year = {2003}
}
```

Last Update Okt 02, 2019 by Gregor Hendel

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