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

J. Walser | 1620 | 3285 | 3.20819e-03 | easy | acc-tight | 0 | acc-tight4.mps.gz |

ACC basketball scheduling instance

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 1620 | 1620 |

Constraints | 3285 | 3285 |

Binaries | 1620 | 1620 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00320819 | 0.00320819 |

Nonzeroes | 17073 | 17073 |

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

Total | 3285 | 3285 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 2025 | 2025 |

Variable Bound | 0 | 0 |

Set Partitioning | 261 | 261 |

Set Packing | 162 | 162 |

Set Covering | 9 | 198 |

Cardinality | 36 | 36 |

Invariant Knapsack | 783 | 594 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 9 | 9 |

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 | 1.959041 | ||||

Constraint % | 0.0304414 | 0.739726 | 0.0304414 | 7.12329 | |

Variable % | 0.1234570 | 1.111110 | 0.1234570 | 10.00000 | |

Score | 0.601613 |

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

The following instances are most similar to acc-tight4 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.

```
@article{NemhauserTrick1998,
author = {G. L. Nemhauser and M. A. Trick},
journal = {Operations Research},
language = {English},
number = {1},
pages = {1--8},
title = {Scheduling a Major College Basketball Conference},
volume = {46},
year = {1998}
}
@misc{Walser1998,
author = {J. P. Walser},
note = {http://www.ps.uni-saarland.de/~walser/acc/acc.html},
title = {Solving the {ACC} Basketball Scheduling Problem with Integer Local
Search},
year = {1998}
}
```

Last Update Nov 16, 2020 by Philipp Wellner

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