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

C. Helmberg, A. Lau | 1317382 | 572800 | 6.93595e-06 | open | – | -194336.3443844448* | splan1.mps.gz |

University course timetabling instance Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 1317382 | 1288613 |

Constraints | 572800 | 557387 |

Binaries | 90810 | 92731 |

Integers | 1978 | 50791 |

Continuous | 1224594 | 1145091 |

Implicit Integers | 0 | 50734 |

Fixed Variables | 0 | 0 |

Nonzero Density | 6.93595e-06 | 7.19297e-06 |

Nonzeroes | 5233840 | 5166390 |

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

Total | 574272 | 557444 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 9271 | 0 |

Aggregations | 15468 | 17563 |

Precedence | 100 | 0 |

Variable Bound | 23466 | 21243 |

Set Partitioning | 0 | 46819 |

Set Packing | 14034 | 14034 |

Set Covering | 0 | 0 |

Cardinality | 105 | 105 |

Invariant Knapsack | 390 | 390 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 215 | 215 |

Integer Knapsack | 1472 | 57 |

Mixed Binary | 508279 | 451631 |

General Linear | 1472 | 5387 |

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 | |||||

Constraint % | |||||

Variable % | |||||

Score |

Find solutions below. Download the archive containing all solutions from the Download page.

`## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion`

ID | Objective | Exact | Int. Viol | Cons. Viol | Obj. Viol | Submitter | Date | Description |
---|---|---|---|---|---|---|---|---|

5 | -194336.3 | -194336.3 | 0 | 5e-07 | 0.0e+00 | Ed Rothberg | 2023-05-23 | Found with the NoRel heuristic. |

4 | -193995.0 | -193995.0 | 0 | 5e-07 | 6.5e-06 | Ed Rothberg | 2023-05-19 | Found with the NoRel heuristic. |

3 | 341753.1 | 0 | 0e+00 | 0.0e+00 | Edward Rothberg | 2020-02-17 | Obtained with Gurobi 9.0 using the solution improvement heuristic | |

2 | 6630536.6 | 0 | 0e+00 | 0.0e+00 | Edward Rothberg | 2019-12-13 | Obtained with Gurobi 9.0 | |

1 | 6771695.2 | 6766599.7 | 0 | 0e+00 | 0.0e+00 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to splan1 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.

Instance | Status | Variables | Binaries | Integers | Continuous | Constraints | Nonz. | Submitter | Group | Objective | Tags |
---|---|---|---|---|---|---|---|---|---|---|---|

neos-2987202-jeir | hard | 146700 | 9045 | 0 | 137655 | 120209 | 1979663 | Jeff Linderoth | neos-pseudoapplication-82 | -1836136351.2 | numerics aggregations precedence mixed_binary |

lr1dr12vc10v70b-t360 | open | 193525 | 90670 | 93480 | 9375 | 56160 | 587100 | Dimitri Papageorgiou | maritime | 1166516.57270949* | aggregations variable_bound set_partitioning set_packing integer_knapsack mixed_binary general_linear |

gasprod2-2 | easy | 29568 | 6826 | 0 | 22742 | 72728 | 280740 | Andrew Stamps | gasprod | 1375631.6625 | numerics aggregations precedence variable_bound set_packing invariant_knapsack binpacking mixed_binary |

ns2124243 | open | 156083 | 16447 | 0 | 139636 | 139280 | 429032 | Timo Berthold | neos-pseudoapplication-93 | 77460* | decomposition aggregations variable_bound set_partitioning cardinality mixed_binary general_linear |

unitcal_7 | easy | 25755 | 2856 | 0 | 22899 | 48939 | 127595 | R. O’Neill | – | 19635558.244 | benchmark benchmark_suitable precedence variable_bound mixed_binary general_linear |

```
@mastersthesis{Lau2008,
author = {Anja Lau},
school = {Technische Universit{\"a}t Chemnitz},
title = {Erstellen von wegeoptimierten {S}tundenpl{\"a}nen mit
{D}iskreten {M}ethoden},
type = {Diploma thesis},
year = {2008}
}
```

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