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

NEOS Server Submission | 4500 | 489 | 1.3815e-02 | easy | neos-pseudoapplication-26 | 35954 | neos-1516309.mps.gz |

Imported from the MIPLIB2010 submissions.

Detailed explanation of the following tables can be found here.

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

Variables | 4500 | 4200 |

Constraints | 489 | 483 |

Binaries | 4500 | 4200 |

Integers | 0 | 0 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.013815 | 0.014542 |

Nonzeroes | 30400 | 29500 |

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

Total | 489 | 483 |

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 | 390 | 384 |

Set Covering | 93 | 93 |

Cardinality | 0 | 0 |

Invariant Knapsack | 0 | 0 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 6 | 6 |

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 | 0.845098 | ||||

Constraint % | 14.6998 | 16.6667 | 17.0807 | 18.2195 | |

Variable % | 14.2857 | 16.6667 | 17.8571 | 17.8571 | |

Score | 0.832076 |

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 | 35954 | 35954 | 0 | 0 | 0 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to neos-1516309 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-1599274 | easy | 4500 | 4500 | 0 | 0 | 1237 | 46800 | NEOS Server Submission | neos-pseudoapplication-26 | 32075.6 | binary decomposition set_packing set_covering knapsack |

n2seq36f | easy | 8100 | 8100 | 0 | 0 | 285 | 60948 | R. Meirich | nseq | 52200 | binary decomposition benchmark_suitable set_packing set_covering mixed_binary |

n3div36 | easy | 22120 | 22120 | 0 | 0 | 4484 | 340740 | R. Meirich | nseq | 130800 | benchmark binary decomposition benchmark_suitable set_packing set_covering mixed_binary |

sp97ar | easy | 14101 | 14101 | 0 | 0 | 1761 | 290968 | J. Goessens, S. v. Hoessel, L. Kroon | sp9 | 660705645.759 | benchmark binary benchmark_suitable variable_bound set_packing set_covering mixed_binary |

sp97ic | easy | 12497 | 12497 | 0 | 0 | 1033 | 316629 | J. Goessens, S. v. Hoessel, L. Kroon | sp9 | 427684487.68 | binary decomposition benchmark_suitable variable_bound set_packing set_covering mixed_binary |

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Last Update Jun 24, 2020 by Gabriel Kressin

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