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

J. Goessens, S. v. Hoessel, L. Kroon | 10894 | 825 | 3.5195e-02 | easy | sp9 | 449144758.4 | sp98ic.mps.gz |

Railway line planning instance Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 10894 | 10894 |

Constraints | 825 | 825 |

Binaries | 10894 | 10894 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.035195 | 0.035195 |

Nonzeroes | 316317 | 316317 |

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

Total | 825 | 825 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 3 | 3 |

Set Partitioning | 0 | 0 |

Set Packing | 624 | 624 |

Set Covering | 17 | 17 |

Cardinality | 0 | 0 |

Invariant Knapsack | 0 | 0 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 181 | 181 |

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 | 2.797960 | ||||

Constraint % | 0.1212120 | 0.121212 | 0.121212 | 0.121212 | |

Variable % | 0.0183587 | 0.159490 | 0.174408 | 0.220305 | |

Score | 0.758788 |

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 | 449144758 | 449144758 | 0 | 0 | 0 | - | 2018-10-29 | Solution imported from MIPLIB2010. |

1 | 449144758 | 449144758 | 0 | 0 | 0 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to sp98ic 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

sp97ic | easy | 12497 | 12497 | 0 | 0 | 1033 | 316629 | J. Goessens, S. v. Hoessel, L. Kroon | sp9 | 427684487.6799999 | binary decomposition benchmark_suitable variable_bound set_packing set_covering mixed_binary |

sp97ar | easy | 14101 | 14101 | 0 | 0 | 1761 | 290968 | J. Goessens, S. v. Hoessel, L. Kroon | sp9 | 660705645.759 | benchmark binary benchmark_suitable variable_bound set_packing set_covering mixed_binary |

sp98ar | easy | 15085 | 15085 | 0 | 0 | 1435 | 426148 | J. Goessens, S. v. Hoessel, L. Kroon | sp9 | 529740623.2 | benchmark binary benchmark_suitable variable_bound set_packing set_covering mixed_binary |

n3div36 | easy | 22120 | 22120 | 0 | 0 | 4484 | 340740 | R. Meirich | nseq | 130800 | benchmark binary decomposition benchmark_suitable set_packing set_covering mixed_binary |

neos-1599274 | easy | 4500 | 4500 | 0 | 0 | 1237 | 46800 | NEOS Server Submission | neos-pseudoapplication-26 | 32075.6 | binary decomposition set_packing set_covering knapsack |

```
@article{FischettiLodi2003,
author = {Fischetti, Matteo and Lodi, Andrea},
issn = {0025-5610},
issue = {1},
journal = {Mathematical Programming},
keyword = {Mathematics and Statistics},
pages = {23-47},
publisher = {Springer},
title = {Local branching},
volume = {98},
year = {2003}
}
@article{GoossensHoeselKroon2004,
author = {J.-W. Goossens and S. van Hoesel and L. G. Kroon},
journal = {Transportation Science},
language = {English},
number = {3},
pages = {379--393},
title = {A Branch-and-Cut Approach for Solving Railway Line-Planning Problems},
volume = {38},
year = {2004}
}
```

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