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

M. Winkler | 4000 | 10500 | 7.02381e-04 | open | -- | 1810.0* | f2000.mps.gz |

Reformulated SAT instance from the 2010 SAT conference pseudo-Boolean competition

Imported from MIPLIB2010. First feasible solution found by MemComputing, Inc. (http://memcpu.com/)

Detailed explanation of the following tables can be found here.

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

Variables | 4000 | 3995 |

Constraints | 10500 | 10495 |

Binaries | 4000 | 3995 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.000702381 | 0.000703357 |

Nonzeroes | 29500 | 29490 |

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

Total | 10500 | 10495 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 2000 | 1995 |

Set Partitioning | 0 | 0 |

Set Packing | 0 | 0 |

Set Covering | 8500 | 8500 |

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 | 3.300161 | ||||

Constraint % | 0.0095300 | 0.0095300 | 0.0095300 | 0.0095300 | |

Variable % | 0.0500626 | 0.0500626 | 0.0500626 | 0.0500626 | |

Score | 0.189995 |

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

3 | 4 | 1810 | 1810 | 0 | 0 | 0 | Edward Rothberg | 2020-11-25 | Found with Gurobi 9.1 NoRel heuristics |

1 | 3 | 1811 | 1811 | 0 | 0 | 0 | Fabio Traversa | 2020-10-07 | Found by MemComputing's SaaS in a 15 minute run. |

4 | 2 | 1835 | 0 | 0 | 0 | Edward Rothberg | 2020-02-05 | Obtained with Gurobi 9.0 | |

2 | 1 | 1846 | 1846 | 0 | 0 | 0 | 2019-06-04 | found by MemComputing, Inc. |

The following instances are most similar to f2000 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

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 |

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

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

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 Mai 20, 2021 by Philipp Wellner

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