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

M. Lübbecke | 16021 | 1128 | 1.11003e-02 | easy | blp | 6205.2147104 | blp-ar98.mps.gz |

Railway line planning instance

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 16021 | 16017 |

Constraints | 1128 | 1128 |

Binaries | 15806 | 15806 |

Integers | 0 | 210 |

Continuous | 215 | 1 |

Implicit Integers | 0 | 210 |

Fixed Variables | 4 | 0 |

Nonzero Density | 0.0111003 | 0.0111028 |

Nonzeroes | 200601 | 200597 |

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

Total | 1128 | 1128 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 1 | 1 |

Set Partitioning | 0 | 0 |

Set Packing | 912 | 912 |

Set Covering | 0 | 0 |

Cardinality | 0 | 0 |

Invariant Knapsack | 0 | 0 |

Equation Knapsack | 0 | 4 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 215 | 1 |

General Linear | 0 | 210 |

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 | 2.960946 | ||||

Constraint % | 0.0886525 | 0.0886525 | 0.0886525 | 0.0886525 | |

Variable % | 0.0124836 | 0.1080590 | 0.1248360 | 0.1560450 | |

Score | 0.808523 |

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 | 6205.215 | 6205.215 | 0 | 0 | 0 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |

2 | 6205.215 | 6205.215 | 0 | 0 | 0 | - | 2018-10-13 | Solution imported from MIPLIB2010. |

The following instances are most similar to blp-ar98 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

blp-ir98 | easy | 6097 | 6031 | 0 | 66 | 486 | 79152 | M. Lübbecke | blp | 2342.315488 | decomposition benchmark_suitable set_packing equation_knapsack mixed_binary general_linear |

blp-ic98 | easy | 13640 | 13550 | 0 | 90 | 717 | 191947 | M. Lübbecke | blp | 4491.44758395 | benchmark decomposition benchmark_suitable set_packing mixed_binary general_linear |

blp-ic97 | easy | 9845 | 9753 | 0 | 92 | 923 | 118149 | M. Lübbecke | blp | 4025.023580799999 | decomposition benchmark_suitable set_packing mixed_binary general_linear |

neos-3116779-oban | easy | 5141 | 5140 | 0 | 1 | 328 | 20561 | Jeff Linderoth | neos-pseudoapplication-26 | 0 | decomposition set_packing knapsack general_linear |

leo1 | easy | 6731 | 6730 | 0 | 1 | 593 | 131218 | COR@L test set | -- | 404227536.16 | benchmark benchmark_suitable variable_bound set_packing set_covering mixed_binary |

```
@article{BussieckLindnerLuebbecke2004,
author = {M. R. Bussieck and T. Lindner and M. E. L{\"u}bbecke},
journal = {Mathematical Methods of Operations Research},
number = {2},
pages = {205-220},
title = {A Fast Algorithm for Near Optimal Line Plans},
volume = {59},
year = {2004}
}
@article{FischettiGloverLodi2005,
author = {M. Fischetti and F. Glover and A. Lodi},
journal = {Mathematical Programming},
pages = {91--104},
title = {The feasibility pump},
volume = {104},
year = {2005}
}
```

Last Update Dec 06, 2022 by Jan Krüger

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