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

M. Winkler | 10000 | 656900 | 2.02984e-04 | hard | – | 259 | wnq-n100-mw99-14.mps.gz |

Weighted n-queens problem with an additional separation constraint. Solved by Gurobi 4.6.1 (12 threads) in 28124 seconds (January 2012).

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 10000 | 10000 |

Constraints | 656900 | 656900 |

Binaries | 10000 | 10000 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.000202984 | 0.000202984 |

Nonzeroes | 1333400 | 1333400 |

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

Total | 656900 | 656900 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 656700 | 656700 |

Set Partitioning | 0 | 0 |

Set Packing | 0 | 0 |

Set Covering | 200 | 200 |

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 | 0 | 0 |

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 % | 49.9848 | 49.9848 | 49.9848 | 49.9848 | |

Variable % | 50.0000 | 50.0000 | 50.0000 | 50.0000 | |

Score | 0.4998480 |

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 | 259 | 259 | 0 | 0 | 0 | - | 2018-10-10 | Solution imported from MIPLIB2010. |

2 | 259 | 259 | 0 | 0 | 0 | - | 2018-10-29 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to wnq-n100-mw99-14 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

hanoi5 | hard | 3862 | 3862 | 0 | 0 | 16399 | 39718 | M. Winkler | – | 1931 | binary variable_bound set_covering |

app2-2 | easy | 1226 | 1226 | 0 | 0 | 335 | 3130 | Emilie Danna | app | 212040.3571429 | binary decomposition numerics variable_bound set_packing mixed_binary |

uct-subprob | easy | 2256 | 379 | 0 | 1877 | 1973 | 10147 | Gerald Lach | – | 314 | benchmark benchmark_suitable aggregations variable_bound set_partitioning set_packing mixed_binary |

app2-1 | easy | 3283 | 3283 | 0 | 0 | 1038 | 8652 | Emilie Danna | app | 19294.125 | binary decomposition numerics variable_bound set_packing mixed_binary |

10teams | easy | 2025 | 1800 | 0 | 225 | 230 | 12150 | MIPLIB submission pool | – | 924 | binary set_partitioning set_packing invariant_knapsack |

```
@misc{pseudoboolean,
key = {pseudoboolean},
note = {http://www.cril.univ-artois.fr/PB10/},
title = {{P}seudo-{B}oolean {C}ompetition 2010},
year = {2010}
}
```

Last Update Aug 13, 2020 by Gabriel Kressin

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