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

M. Winkler | 3862 | 16399 | 6.2713e-04 | easy | – | 1931 | hanoi5.mps.gz |

Reformulated SAT instance from the 2010 SAT conference pseudo-Boolean competition. Solved due to the 2012 pseudo-Boolean competition. Imported from MIPLIB2010. Solved with COPT 7.0 using up to 12 threads in less than 30 minutes.

Detailed explanation of the following tables can be found here.

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

Variables | 3862 | 3000 |

Constraints | 16399 | 13563 |

Binaries | 3862 | 3000 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.000627130 | 0.000789108 |

Nonzeroes | 39718 | 32108 |

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

Total | 16399 | 13563 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 365 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 9121 | 8936 |

Set Partitioning | 0 | 0 |

Set Packing | 0 | 0 |

Set Covering | 6913 | 4627 |

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 | 2.555094 | ||||

Constraint % | 0.007370 | 0.18587 | 0.007370 | 49.3254 | |

Variable % | 0.058292 | 0.24424 | 0.058292 | 47.3331 | |

Score | 0.431487 |

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 | 1931 | 1931 | 0 | 0 | 0 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to hanoi5 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

f2000 | open | 4000 | 4000 | 0 | 0 | 10500 | 29500 | M. Winkler | – | 1810.0* | binary variable_bound set_covering |

stein9inf | easy | 9 | 9 | 0 | 0 | 14 | 54 | MIPLIB submission pool | stein | Infeasible | infeasible binary set_covering invariant_knapsack mixed_binary |

stein45inf | easy | 45 | 45 | 0 | 0 | 332 | 1079 | MIPLIB submission pool | stein | Infeasible | infeasible binary variable_bound set_covering invariant_knapsack mixed_binary |

stein15inf | easy | 15 | 15 | 0 | 0 | 37 | 135 | MIPLIB submission pool | stein | Infeasible | infeasible binary set_covering invariant_knapsack mixed_binary |

seymour | easy | 1372 | 1372 | 0 | 0 | 4944 | 33549 | W. Cook, P. Seymour | – | 423 | benchmark binary benchmark_suitable variable_bound set_covering |

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

Last Update 2024 by Julian Manns

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