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

Q. Chen | 10813 | 10779 | 1.50615e-03 | easy | – | 47095869.649 | germanrr.mps.gz |

Model from a German railroad company. Solved in June 2013 by CPLEX 12.5.1 (24 threads) in about 5.2 hours. Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 10813 | 10770 |

Constraints | 10779 | 5525 |

Binaries | 5323 | 5288 |

Integers | 5251 | 5481 |

Continuous | 239 | 1 |

Implicit Integers | 0 | 230 |

Fixed Variables | 43 | 0 |

Nonzero Density | 0.00150615 | 0.00286042 |

Nonzeroes | 175547 | 170207 |

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

Total | 10779 | 5525 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 5254 | 0 |

Aggregations | 0 | 0 |

Precedence | 1 | 1 |

Variable Bound | 5285 | 5285 |

Set Partitioning | 0 | 8 |

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 | 119 | 0 |

General Linear | 120 | 231 |

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 | 3.720407 | ||||

Constraint % | 0.0180995 | 0.0182167 | 0.0180995 | 0.0361991 | |

Variable % | 0.0185563 | 0.0186164 | 0.0185563 | 0.0278345 | |

Score | 0.956563 |

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 | 47095870 | 47095870 | 0 | 0 | 0 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |

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

rout | easy | 556 | 300 | 15 | 241 | 291 | 2431 | MIPLIB submission pool | – | 1077.559999999999 | decomposition benchmark_suitable variable_bound set_packing integer_knapsack general_linear |

neos-3075395-nile | easy | 26928 | 1728 | 0 | 25200 | 27756 | 102672 | Jeff Linderoth | neos-pseudoapplication-50 | 6021719.99999999 | decomposition numerics aggregations variable_bound set_packing invariant_knapsack knapsack mixed_binary |

Test3 | easy | 72215 | 33143 | 0 | 39072 | 50680 | 617867 | MIPLIB submission pool | – | 2673520.21135 | numerics aggregations variable_bound set_partitioning binpacking knapsack mixed_binary |

npmv07 | easy | 220686 | 1880 | 0 | 218806 | 76342 | 859614 | Q. Chen | – | 104809812543.8479 | numerics aggregations variable_bound mixed_binary |

n3705 | open | 10000 | 5000 | 0 | 5000 | 5150 | 20000 | J. Aronson | n37 | 1212657.0* | decomposition variable_bound mixed_binary |

```
@misc{coral,
key = {zzz coral},
note = {http://coral.ie.lehigh.edu/data-sets/mixed-integer-instances/},
title = {{COR@L} {MIP} {I}nstances},
year = {2010}
}
```

Last Update 2024 by Julian Manns

generated with R Markdown

© by Zuse Institute Berlin (ZIB)

Imprint