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

Steffen Weider | 174997 | 1042 | 2.53552e-02 | open | – | 325.09366427* | ds-big.mps.gz |

Bus driver duty scheduling problem

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 174997 | 174997 |

Constraints | 1042 | 1042 |

Binaries | 174997 | 174997 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.0253552 | 0.0253552 |

Nonzeroes | 4623440 | 4623440 |

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

Total | 1042 | 1042 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 0 | 0 |

Set Partitioning | 1042 | 1042 |

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 | 325.0937 | 325.0937 | 0 | 0 | 0 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to ds-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 | 162.801000588* | binary set_partitioning |

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

ivu06-big | open | 2277736 | 2277736 | 0 | 0 | 1177 | 23125800 | S. Weider | ivu | 168.641000869* | binary set_partitioning |

ds | hard | 67732 | 67732 | 0 | 0 | 656 | 1024060 | MIPLIB submission pool | – | 93.52 | binary set_partitioning |

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

```
@incollection{GroetschelBorndoerferLoebel2003,
author = {Martin Gr{\"o}tschel and Ralf Bornd{\"o}rfer and Andreas L{\"o}bel},
booktitle = {{MATHEMATICS} -- {K}ey {T}echnology for the {F}uture},
editor = {Willi J{\"a}ger and Hans-Joachim Krebs},
language = {English},
pages = {653--674},
publisher = {Springer-Verlag},
title = {Duty Scheduling in Public Transit},
year = {2003}
}
```

Last Update Apr 09, 2019 by Gregor Hendel

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