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

MIPLIB submission pool | 12675 | 11893 | 4.82574e-04 | easy | ab | -10420305975 | ab51-40-100.mps.gz |

Imported from the MIPLIB2010 submissions.

Detailed explanation of the following tables can be found here.

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

Variables | 12675 | 12675 |

Constraints | 11893 | 11890 |

Binaries | 12675 | 12675 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.000482574 | 0.000482696 |

Nonzeroes | 72745 | 72745 |

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

Total | 11893 | 11890 |

Empty | 3 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 11766 | 11766 |

Variable Bound | 0 | 0 |

Set Partitioning | 0 | 0 |

Set Packing | 124 | 124 |

Set Covering | 0 | 0 |

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 | 2.959041 | ||||

Constraint % | 0.0168209 | 0.108864 | 0.0420521 | 0.992431 | |

Variable % | 0.0236686 | 0.110011 | 0.0473373 | 0.938856 | |

Score | 0.985601 |

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 | -10420305975 | -10420305975 | 0 | 0 | 0 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to ab51-40-100 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

ab67-40-100 | easy | 12812 | 12812 | 0 | 0 | 12092 | 75871 | MIPLIB submission pool | ab | -11186253442 | binary decomposition numerics precedence set_packing |

ab69-40-100 | easy | 12622 | 12622 | 0 | 0 | 11911 | 74233 | MIPLIB submission pool | ab | -11186281442 | binary decomposition numerics precedence set_packing |

ab72-40-100 | easy | 12370 | 12370 | 0 | 0 | 11671 | 72137 | MIPLIB submission pool | ab | -11186620442 | binary decomposition numerics precedence set_packing |

ab71-20-100 | easy | 6689 | 6689 | 0 | 0 | 6380 | 41961 | MIPLIB submission pool | ab | -10420305975 | binary decomposition numerics precedence set_packing |

reblock354 | hard | 3540 | 3540 | 0 | 0 | 19906 | 52901 | Andreas Bley | reblock | -39280521.2281657 | binary precedence knapsack |

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