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

S. Weider | 2277736 | 1177 | 8.62614e-03 | open | ivu | 140.74* | ivu06-big.mps.gz |

Set partitioning instance resulting from a column generation algorithm used for duty scheduling in public transportation

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 2277736 | 2277736 |

Constraints | 1177 | 1177 |

Binaries | 2277736 | 2277736 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00862614 | 0.00862614 |

Nonzeroes | 23125800 | 23125800 |

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

Total | 1177 | 1177 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 0 | 0 |

Set Partitioning | 1177 | 1177 |

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 | 0 | 0 |

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 | 0.30103 | ||||

Constraint % | 100 | 100 | 100 | 100 | |

Variable % | 100 | 100 | 100 | 100 | |

Score | 0.00000 |

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 | 3 | 140.7437 | 140.7437 | 0 | 0 | 0 | Edward Rothberg | 2020-07-30 | Obtained with Gurobi 9.0 using the solution improvement heuristic. |

3 | 2 | 146.7010 | 0 | 0 | 0 | Ed Klotz | 2019-08-16 | ||

2 | 1 | 168.6410 | 168.6410 | 0 | 0 | 0 | - | 2018-10-10 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to ivu06-big 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

ivu06 | open | 787239 | 787239 | 0 | 0 | 1177 | 8032300 | S. Weider | ivu | 142.86* | binary set_partitioning |

ds-big | open | 174997 | 174997 | 0 | 0 | 1042 | 4623440 | Steffen Weider | -- | 195.498997075249* | binary set_partitioning |

nw04 | easy | 87482 | 87482 | 0 | 0 | 36 | 636666 | MIPLIB submission pool | -- | 16862 | benchmark binary benchmark_suitable set_partitioning |

eilA101-2 | easy | 65832 | 65832 | 0 | 0 | 100 | 959373 | J. Linderoth | eil | 880.920108 | benchmark binary benchmark_suitable set_partitioning |

eilC76-2 | easy | 28599 | 28599 | 0 | 0 | 75 | 314837 | J. Linderoth | eil | 762.514781999996 | binary benchmark_suitable set_partitioning |

```
@inproceedings{BorndoerferLoebelWeider2008,
author = {Ralf Bornd{\"o}rfer and Andreas L{\"o}bel and Steffen
Weider},
booktitle = {Computer-aided Systems in Public Transport},
editor = {Mark Hickman and Pitu Mirchandani and Stefan Voß},
pages = {3--24},
series = {Lecture Notes in Economics and Mathematical Systems},
title = {A Bundle Method for Integrated Multi-Depot Vehicle and
Duty Scheduling in Public Transit},
volume = {600},
year = {2008}
}
@phdthesis{Weider2007,
author = {Steffen Weider},
school = {Technische Universit{\"a}t Berlin},
title = {Integration of Vehicle and Duty Scheduling in Public
Transport},
year = {2007}
}
```

Last Update Nov 16, 2020 by Philipp Wellner

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