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

Haroldo Gambini Santos | 11650 | 4872 | 3.66551e-03 | easy | nursescheduling | 338 | nursesched-sprint-hidden09.mps.gz |

Nurse Scheduling Problems from the First International Nurse Rostering Competition - INRC 2010

Detailed explanation of the following tables can be found here.

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

Variables | 11650 | 10820 |

Constraints | 4872 | 4190 |

Binaries | 11630 | 10800 |

Integers | 20 | 20 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00366551 | 0.00451564 |

Nonzeroes | 208050 | 204720 |

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

Total | 4872 | 4190 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 10 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 0 | 0 |

Set Partitioning | 604 | 644 |

Set Packing | 1410 | 1490 |

Set Covering | 320 | 0 |

Cardinality | 388 | 336 |

Invariant Knapsack | 2040 | 1700 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 80 | 0 |

General Linear | 20 | 20 |

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 | 1.491362 | ||||

Constraint % | 0.1670640 | 2.55370 | 2.52983 | 4.96420 | |

Variable % | 0.0924214 | 3.32717 | 2.40296 | 7.48614 | |

Score | 0.735227 |

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 | 338 | 338 | 0 | 0 | 0 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to nursesched-sprint-hidden09 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{Santos2016,
author="Santos, Haroldo G.
and Toffolo, T{\'u}lio A. M.
and Gomes, Rafael A. M.
and Ribas, Sabir",
title="Integer programming techniques for the nurse rostering problem",
journal="Annals of Operations Research",
year="2016",
volume="239",
number="1",
pages="225--251",
issn="1572-9338",
doi="10.1007/s10479-014-1594-6",
url="http://dx.doi.org/10.1007/s10479-014-1594-6"
}
```

Last Update Mai 20, 2021 by Philipp Wellner

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