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

E. Coughlan, M. Lübbecke, J. Schulz | 18380 | 576 | 1.03624e-02 | easy | – | 302 | 30n20b8.mps.gz |

Multi-mode resource leveling with availability constraints; precedence and resource constrained scheduling problem Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 18380 | 8033 |

Constraints | 576 | 491 |

Binaries | 18318 | 7971 |

Integers | 62 | 62 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 60 |

Fixed Variables | 7282 | 0 |

Nonzero Density | 0.0103624 | 0.0134737 |

Nonzeroes | 109706 | 53143 |

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

Total | 576 | 491 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 60 | 57 |

Variable Bound | 0 | 0 |

Set Partitioning | 30 | 30 |

Set Packing | 0 | 0 |

Set Covering | 0 | 0 |

Cardinality | 0 | 0 |

Invariant Knapsack | 0 | 0 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 0 | 0 |

General Linear | 486 | 404 |

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 | 0.4771212 | ||||

Constraint % | 43.5845 | 44.1955 | 44.1955 | 44.8065 | |

Variable % | 47.7779 | 50.0000 | 50.0000 | 52.2221 | |

Score | 0.4416840 |

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 |
---|---|---|---|---|---|---|---|---|

2 | 302 | 302 | 0 | 0 | 0 | - | 2018-10-29 | Solution found during MIPLIB2017 problem selection. |

1 | 302 | 302 | 0 | 0 | 0 | - | 2018-10-12 | Solution imported from MIPLIB2010. |

The following instances are most similar to 30n20b8 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.

```
@incollection{CoughlanLuebbeckeSchulz2010,
author = {Coughlan, Eamonn and L{\"u}bbecke, Marco and Schulz, Jens},
booktitle = {Experimental Algorithms},
editor = {Festa, Paola},
pages = {226-238},
publisher = {Springer Berlin / Heidelberg},
series = {Lecture Notes in Computer Science},
title = {A Branch-and-Price Algorithm for Multi-mode Resource Leveling},
volume = {6049},
year = {2010}
}
```

Last Update 2024 by Julian Manns

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