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

Jeff Linderoth | 12865 | 17359 | 6.2726e-04 | hard | neos-pseudoapplication-62 | 20946.48 | neos-4954274-beardy.mps.gz |

Reported solved after 77000 seconds using Gurobi with 32 threads.

Detailed explanation of the following tables can be found here.

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

Variables | 12865 | 12820 |

Constraints | 17359 | 17346 |

Binaries | 12865 | 12820 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.000627260 | 0.000629642 |

Nonzeroes | 140082 | 140017 |

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

Total | 17359 | 17346 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 4 | 4 |

Set Partitioning | 18 | 18 |

Set Packing | 3440 | 3432 |

Set Covering | 20 | 20 |

Cardinality | 70 | 70 |

Invariant Knapsack | 2 | 2 |

Equation Knapsack | 0 | 0 |

Bin Packing | 3095 | 3090 |

Knapsack | 9730 | 10710 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 980 | 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 | 0.7781512 | ||||

Constraint % | 19.7763 | 19.8985 | 19.8051 | 20.3067 | |

Variable % | 19.8986 | 19.9922 | 19.8986 | 20.3665 | |

Score | 0.7959990 |

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 | 20946.48 | 20946.48 | 0 | 0 | 0 | Hans Mittelmann | 2018-11-01 | Found using Gurobi with 32 threads |

The following instances are most similar to neos-4954274-beardy 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

neos-876808 | easy | 87268 | 87268 | 0 | 0 | 85808 | 682376 | NEOS Server Submission | neos-pseudoapplication-62 | 169795.259907 | binary decomposition benchmark_suitable aggregations set_packing set_covering invariant_knapsack knapsack mixed_binary |

s1234 | hard | 2945 | 2945 | 0 | 0 | 8418 | 44641 | Siwei Sun | SiweiSun | 29 | binary precedence set_covering invariant_knapsack binpacking knapsack |

circ10-3 | open | 2700 | 2700 | 0 | 0 | 42620 | 307320 | M. Winkler | – | 258.0* | binary decomposition precedence variable_bound set_partitioning set_packing invariant_knapsack knapsack mixed_binary |

bnatt500 | easy | 4500 | 4500 | 0 | 0 | 7029 | 27203 | Tatsuya Akutsu | bnatt | Infeasible | benchmark infeasible binary benchmark_suitable precedence set_covering invariant_knapsack binpacking knapsack |

bnatt400 | easy | 3600 | 3600 | 0 | 0 | 5614 | 21698 | Tatsuya Akutsu | bnatt | 1 | benchmark binary benchmark_suitable precedence set_covering invariant_knapsack binpacking knapsack |

`No bibliographic information available`

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