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

M. Winkler | 25200 | 1468 | 2.76032e-03 | open | – | 235* | ex1010-pi.mps.gz |

Logic synthesis problem from the 2010 SAT conference pseudo-Boolean competition

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 25200 | 25200 |

Constraints | 1468 | 1468 |

Binaries | 25200 | 25200 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00276032 | 0.00276032 |

Nonzeroes | 102114 | 102114 |

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

Total | 1468 | 1468 |

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 | 1468 | 1468 |

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 | 0.30103 | ||||

Constraint % | 100 | 100 | 100 | 100 | |

Variable % | 100 | 100 | 100 | 100 | |

Score | 0.00000 |

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 | 3 | 235 | 235 | 0 | 0 | 0 | Edward Rothberg | 2020-06-11 | Obtained with Gurobi 9.0 using the solution improvement heuristic |

3 | 2 | 236 | 0 | 0 | 0 | Edward Rothberg | 2019-12-13 | Obtained with Gurobi 9.0 | |

2 | 1 | 239 | 239 | 0 | 0 | 0 | - | 2018-10-10 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to ex1010-pi 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

ramos3 | open | 2187 | 2187 | 0 | 0 | 2187 | 32805 | F. Ramos | – | 192.0* | binary set_covering |

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

fast0507 | easy | 63009 | 63009 | 0 | 0 | 507 | 409349 | MIPLIB submission pool | – | 174 | benchmark binary benchmark_suitable variable_bound set_covering |

iis-glass-cov | easy | 214 | 214 | 0 | 0 | 5375 | 56133 | Marc Pfetsch | iis | 21 | binary benchmark_suitable set_covering |

glass-sc | easy | 214 | 214 | 0 | 0 | 6119 | 63918 | Marc Pfetsch | maxfeassub | 23 | benchmark binary benchmark_suitable 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 Aug 13, 2020 by Gabriel Kressin

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