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

Iulian Ober | 10404 | 40962 | 1.2134e-03 | easy | – | 81 | ex9.mps.gz |

Formulations of Boolean SAT instance Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 10404 | 8560 |

Constraints | 40962 | 33846 |

Binaries | 0 | 8560 |

Integers | 10404 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00121340 | 0.00139133 |

Nonzeroes | 517112 | 403100 |

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

Total | 41124 | 33846 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 1120 | 0 |

Aggregations | 0 | 0 |

Precedence | 1152 | 1720 |

Variable Bound | 0 | 0 |

Set Partitioning | 0 | 162 |

Set Packing | 0 | 0 |

Set Covering | 0 | 0 |

Cardinality | 0 | 0 |

Invariant Knapsack | 0 | 31964 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 162 | 0 |

Mixed Binary | 0 | 0 |

General Linear | 38690 | 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 | 1.785330 | ||||

Constraint % | 0.0059100 | 0.0846974 | 0.0295456 | 0.768185 | |

Variable % | 0.0233645 | 0.3021810 | 0.1285050 | 2.476640 | |

Score | 0.050004 |

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

2 | 81 | 81 | 0 | 0 | 0 | - | 2018-10-29 | Solution found during MIPLIB2017 problem selection. |

1 | 81 | 81 | 0 | 0 | 0 | - | 2018-10-11 | Solution imported from MIPLIB2010. |

The following instances are most similar to ex9 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

ex10 | easy | 17680 | 0 | 17680 | 0 | 69608 | 1162000 | Iulian Ober | – | 100 | benchmark binary benchmark_suitable precedence set_partitioning invariant_knapsack |

supportcase10 | hard | 14770 | 14770 | 0 | 0 | 165684 | 555082 | Michael Winkler | – | 7 | benchmark binary benchmark_suitable aggregations precedence variable_bound set_covering invariant_knapsack |

tw-myciel4 | hard | 760 | 759 | 1 | 0 | 8146 | 27961 | Arie Koster | – | 10 | aggregations precedence variable_bound invariant_knapsack general_linear |

supportcase22 | open | 7129 | 7129 | 0 | 0 | 260602 | 2228828 | Michael Winkler | – | 110.0* | benchmark binary benchmark_suitable aggregations set_covering invariant_knapsack binpacking knapsack |

graph20-80-1rand | hard | 16263 | 16263 | 0 | 0 | 55107 | 191997 | Michael Bastubbe | graphs | -6 | binary decomposition precedence set_partitioning invariant_knapsack |

`No bibliographic information available`

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