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

Harald Schilly | 17656 | 30738 | 3.43683e-04 | easy | lectsched | 0 | lectsched-2.mps.gz |

University lecture scheduling instance

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 17656 | 4814 |

Constraints | 30738 | 9393 |

Binaries | 17287 | 4656 |

Integers | 369 | 158 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.000343683 | 0.000956833 |

Nonzeroes | 186520 | 43266 |

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

Total | 30738 | 9393 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 1468 | 0 |

Aggregations | 6 | 2 |

Precedence | 54 | 28 |

Variable Bound | 90 | 805 |

Set Partitioning | 0 | 0 |

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 | 2040 | 505 |

Mixed Binary | 0 | 0 |

General Linear | 27080 | 8053 |

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 | 0.301030 | ||||

Constraint % | 100.0000 | 100.0000 | 100.0000 | 100.0000 | |

Variable % | 49.5303 | 49.5303 | 49.5303 | 49.5303 | |

Score | 0.504697 |

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

The following instances are most similar to lectsched-2 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.

```
@mastersthesis{Schilly2007,
author = {Harald Schilly},
language = {german},
school = {Universit{\"a}t Wien},
title = {Modellierung und {I}mplementation eines {V}orlesungsplaners},
type = {Diploma thesis},
year = {2007}
}
```

Last Update Mai 20, 2021 by Philipp Wellner

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