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

M. Lübbecke | 6097 | 486 | 2.67122e-02 | easy | blp | 2342.315488 | blp-ir98.mps.gz |

Railway line planning instance

Imported from the MIPLIB2010 submissions.

Detailed explanation of the following tables can be found here.

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

Variables | 6097 | 6096 |

Constraints | 486 | 486 |

Binaries | 6031 | 6031 |

Integers | 0 | 64 |

Continuous | 66 | 1 |

Implicit Integers | 0 | 64 |

Fixed Variables | 1 | 0 |

Nonzero Density | 0.0267122 | 0.0267162 |

Nonzeroes | 79152 | 79151 |

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

Total | 486 | 486 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 0 | 0 |

Set Partitioning | 0 | 0 |

Set Packing | 420 | 420 |

Set Covering | 0 | 0 |

Cardinality | 0 | 0 |

Invariant Knapsack | 0 | 0 |

Equation Knapsack | 0 | 1 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 66 | 1 |

General Linear | 0 | 64 |

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 | 2.624282 | ||||

Constraint % | 0.2057610 | 0.205761 | 0.205761 | 0.205761 | |

Variable % | 0.0492045 | 0.235518 | 0.229621 | 0.295227 | |

Score | 0.862162 |

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 | 2342.315 | 2342.315 | 0 | 1.2e-05 | 1.2e-05 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to blp-ir98 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-ar98 | easy | 16021 | 15806 | 0 | 215 | 1128 | 200601 | M. Lübbecke | blp | 6205.2147104 | benchmark decomposition benchmark_suitable variable_bound 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 | 4025.0235808 | 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 |

neos-4409277-trave | hard | 14363 | 14362 | 0 | 1 | 7875 | 204518 | Jeff Linderoth | neos-pseudoapplication-47 | 3 | variable_bound set_partitioning set_packing set_covering cardinality invariant_knapsack mixed_binary |

`No bibliographic information available`

Last Update Mai 20, 2021 by Philipp Wellner

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