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

Salim Haddadi | 400 | 40 | 5e-02 | easy | f2gap | 20771.99999999983 | f2gap40400.mps.gz |

Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600)

Detailed explanation of the following tables can be found here.

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

Variables | 400 | 400 |

Constraints | 40 | 40 |

Binaries | 400 | 400 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.05 | 0.05 |

Nonzeroes | 800 | 800 |

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

Total | 40 | 40 |

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 | 0 | 0 |

Set Covering | 0 | 0 |

Cardinality | 0 | 0 |

Invariant Knapsack | 0 | 0 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 40 | 1 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 0 | 39 |

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 | 0.301030 | ||||

Constraint % | 37.5 | 37.5 | 37.5 | 37.5 | |

Variable % | 56.5 | 56.5 | 56.5 | 56.5 | |

Score | 0.163125 |

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 | 20772 | 20772 | 0 | 0 | 0 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to f2gap40400 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

f2gap801600 | easy | 1600 | 1600 | 0 | 0 | 80 | 3200 | Salim Haddadi | f2gap | 86678.999982707 | binary knapsack mixed_binary |

f2gap401600 | easy | 1600 | 1600 | 0 | 0 | 40 | 3200 | Salim Haddadi | f2gap | 82306.9999999945 | binary mixed_binary |

ic97_potential | easy | 728 | 450 | 73 | 205 | 1046 | 3138 | L. Peeters | -- | 3941.99993090225 | benchmark benchmark_suitable precedence mixed_binary general_linear |

f2gap201600 | easy | 1600 | 1600 | 0 | 0 | 20 | 3200 | Salim Haddadi | f2gap | 76453 | binary mixed_binary |

icir97_potential | hard | 2112 | 1235 | 422 | 455 | 3314 | 9942 | MIPLIB submission pool | -- | 6325 | precedence mixed_binary general_linear |

`No bibliographic information available`

Last Update Jul 24, 2022 by Jan Krüger

generated with R Markdown

© 2022 by Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)

Imprint