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

MIPLIB submission pool | 38356 | 6284 | 1.54176e-03 | open | – | 17974887.99753601* | nsr8k.mps.gz |

Crew scheduling instance Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 38356 | 38322 |

Constraints | 6284 | 6283 |

Binaries | 32040 | 32040 |

Integers | 0 | 6195 |

Continuous | 6316 | 87 |

Implicit Integers | 0 | 6195 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00154176 | 0.00153985 |

Nonzeroes | 371608 | 370761 |

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

Total | 6284 | 6283 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 0 | 0 |

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 | 0 | 0 |

Mixed Binary | 6284 | 87 |

General Linear | 0 | 6196 |

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 % | 0.0318319 | 0.692344 | 0.692344 | 1.35286 | |

Variable % | 0.2870410 | 41.917200 | 41.917200 | 83.54730 | |

Score | 0.0025430 |

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

6 | 17974888 | 17974888 | 0.0e+00 | 4e-07 | 0 | Michael Winkler | 2023-07-01 | Found with Gurobi 10.0.1 on an AMD EPYC 7313P with 256 GB RAM, with defaults except for MIPGAP=0. |

5 | 18011358 | 18011358 | 0.0e+00 | 0e+00 | 0 | Edward Rothberg | 2022-07-12 | Obtained with Gurobi 9.5 using the NoRel heuristic. |

4 | 18177986 | 18177986 | 0.0e+00 | 0e+00 | 0 | Edward Rothberg | 2020-04-22 | Obtained with Gurobi 9.0 using the solution improvement heuristic |

3 | 18375063 | 1.7e-06 | 9e-07 | 0 | Edward Rothberg | 2019-12-13 | Obtained with Gurobi 9.0 | |

2 | 18441359 | 0.0e+00 | 0e+00 | 0 | Robert Ashford and Alkis Vazacopoulus | 2019-12-18 | Found using ODH|CPlex | |

1 | 18507855 | 18507855 | 0.0e+00 | 0e+00 | 0 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to nsr8k 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

dolom1 | hard | 11612 | 9720 | 0 | 1892 | 1803 | 190413 | Double-Click SAS | – | 6609253 | mixed_binary general_linear |

dc1c | hard | 10039 | 8380 | 0 | 1659 | 1649 | 121158 | Double-Click SAS | – | 1767903.6501 | mixed_binary general_linear |

biella1 | easy | 7328 | 6110 | 0 | 1218 | 1203 | 71489 | Double-Click SAS | – | 3065005.78 | benchmark_suitable mixed_binary general_linear |

trento1 | easy | 7687 | 6415 | 0 | 1272 | 1265 | 93571 | MIPLIB submission pool | – | 5189487 | benchmark benchmark_suitable mixed_binary general_linear |

dc1l | open | 37297 | 35638 | 0 | 1659 | 1653 | 448754 | Double-Click SAS | – | 1759050.4901* | mixed_binary general_linear |

```
@article{FischettiGloverLodi2005,
author = {M. Fischetti and F. Glover and A. Lodi},
journal = {Mathematical Programming},
pages = {91--104},
title = {The feasibility pump},
volume = {104},
year = {2005}
}
@article{FischettiLodi2003,
author = {Fischetti, Matteo and Lodi, Andrea},
issn = {0025-5610},
issue = {1},
journal = {Mathematical Programming},
keyword = {Mathematics and Statistics},
pages = {23-47},
publisher = {Springer},
title = {Local branching},
volume = {98},
year = {2003}
}
```

Last Update Mar 04, 2024 by Julian Manns

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