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

Michael Bastubbe | 2848 | 3608 | 9.62281e-04 | easy | cvs | -81 | cvs16r106-72.mps.gz |

Capacitated vertex separator problem on randomly generated hypergraph with 106 vertices and 72 hyperedges in at most 16 components each including at most 7 vertices.

Detailed explanation of the following tables can be found here.

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

Variables | 2848 | 2848 |

Constraints | 3608 | 3608 |

Binaries | 2848 | 2848 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.000962281 | 0.000962281 |

Nonzeroes | 9888 | 9888 |

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

Total | 3608 | 3608 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 3520 | 3520 |

Variable Bound | 0 | 0 |

Set Partitioning | 0 | 0 |

Set Packing | 72 | 72 |

Set Covering | 0 | 0 |

Cardinality | 0 | 0 |

Invariant Knapsack | 16 | 16 |

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 | 1.230449 | ||||

Constraint % | 6.12528 | 6.12528 | 6.12528 | 6.12528 | |

Variable % | 6.25000 | 6.25000 | 6.25000 | 6.25000 | |

Score | 0.918792 |

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

The following instances are most similar to cvs16r106-72 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

cvs16r89-60 | easy | 2384 | 2384 | 0 | 0 | 3068 | 8368 | Michael Bastubbe | cvs | -65 | binary decomposition benchmark_suitable precedence set_packing invariant_knapsack |

cvs16r128-89 | easy | 3472 | 3472 | 0 | 0 | 4633 | 12528 | Michael Bastubbe | cvs | -97 | benchmark binary decomposition benchmark_suitable precedence set_packing invariant_knapsack |

cvs16r70-62 | easy | 2112 | 2112 | 0 | 0 | 3278 | 8512 | Michael Bastubbe | cvs | -42 | binary decomposition benchmark_suitable precedence set_packing invariant_knapsack |

cvs08r139-94 | easy | 1864 | 1864 | 0 | 0 | 2398 | 6456 | Michael Bastubbe | cvs | -116 | binary decomposition benchmark_suitable precedence set_packing invariant_knapsack |

neos-953928 | easy | 23305 | 23305 | 0 | 0 | 12498 | 169861 | NEOS Server Submission | neos-pseudoapplication-13 | -99.9044444446 | binary decomposition benchmark_suitable precedence set_packing invariant_knapsack binpacking knapsack |

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