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

Haroldo Gambini Santos | 29667 | 8668 | 2.41812e-03 | easy | nursescheduling | 237 | nursesched-medium04.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 | 29667 | 29636 |

Constraints | 8668 | 8637 |

Binaries | 29613 | 29582 |

Integers | 54 | 54 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00241812 | 0.00242922 |

Nonzeroes | 621829 | 621798 |

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

Total | 8668 | 8637 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 31 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 0 | 0 |

Set Partitioning | 1736 | 1860 |

Set Packing | 4371 | 4619 |

Set Covering | 1000 | 8 |

Cardinality | 1104 | 980 |

Invariant Knapsack | 124 | 1116 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 248 | 0 |

General Linear | 54 | 54 |

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 | 1.505150 | ||||

Constraint % | 2.85979 | 2.85979 | 2.85979 | 2.85979 | |

Variable % | 3.22581 | 3.22581 | 3.22581 | 3.22581 | |

Score | 0.857937 |

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 | 237 | 237 | 0 | 0 | 0 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to nursesched-medium04 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"
}
```

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