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

S. Weider | 2569996 | 3436 | 4.09788e-03 | open | ivu | 931.0* | ivu59.mps.gz |

Set partitioning instance resulting from a column generation algorithm used for duty scheduling in public transportation. Solved in June 2014 using CPLEX 12.6 with 48 threads in about 25 days.

Imported from the MIPLIB2010 submissions.

Detailed explanation of the following tables can be found here.

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

Variables | 2569996 | 2569996 |

Constraints | 3436 | 3436 |

Binaries | 2569996 | 2569996 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00409788 | 0.00409788 |

Nonzeroes | 36186300 | 36186300 |

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

Total | 3436 | 3436 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 0 | 0 |

Set Partitioning | 3436 | 3436 |

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 | |||||

Constraint % | |||||

Variable % | |||||

Score |

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 | 2 | 931.0086 | 931.0086 | 0 | 0 | 0 | Edward Rothberg | 2020-07-30 | Obtained with Gurobi 9.0 using the solution improvement heuristic. |

1 | 1 | 1040.4828 | 0 | 0 | 0 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to ivu59 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

ds | hard | 67732 | 67732 | 0 | 0 | 656 | 1024059 | MIPLIB submission pool | -- | 93.52 | binary set_partitioning |

ivu06 | open | 787239 | 787239 | 0 | 0 | 1177 | 8032303 | S. Weider | ivu | 142.86* | binary set_partitioning |

ivu06-big | open | 2277736 | 2277736 | 0 | 0 | 1177 | 23125770 | S. Weider | ivu | 140.74* | binary set_partitioning |

ds-big | open | 174997 | 174997 | 0 | 0 | 1042 | 4623442 | Steffen Weider | -- | 195.498997075249* | binary set_partitioning |

irp | easy | 20315 | 20315 | 0 | 0 | 39 | 98254 | MIPLIB submission pool | -- | 12159.492835397 | benchmark binary benchmark_suitable set_partitioning |

`No bibliographic information available`

Last Update Mai 20, 2021 by Philipp Wellner

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