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

Haroldo Gambini Santos | 34248 | 14062 | 1.2932e-03 | hard | nursescheduling | 115 | nursesched-medium-hint03.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 | 34248 | 33990 |

Constraints | 14062 | 13672 |

Binaries | 34170 | 33930 |

Integers | 78 | 60 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00129320 | 0.00133857 |

Nonzeroes | 622800 | 622050 |

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

Total | 14062 | 13672 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 30 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 360 | 0 |

Set Partitioning | 1688 | 1808 |

Set Packing | 4230 | 4470 |

Set Covering | 960 | 0 |

Cardinality | 1064 | 944 |

Invariant Knapsack | 5430 | 6390 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 240 | 0 |

General Linear | 60 | 60 |

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 % | 0.0511995 | 0.887459 | 0.775307 | 1.83587 | |

Variable % | 0.0294204 | 1.109150 | 0.914975 | 2.38305 | |

Score | 0.788126 |

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 | 115 | 115 | 0 | 0 | 0 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to nursesched-medium-hint03 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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