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

MIPLIB submission pool | 6621 | 735 | 4.58777e-02 | easy | -- | 51200 | nsrand-ipx.mps.gz |

Imported from the MIPLIB2010 submissions.

Detailed explanation of the following tables can be found here.

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

Variables | 6621 | 6621 |

Constraints | 735 | 721 |

Binaries | 6620 | 6620 |

Integers | 0 | 0 |

Continuous | 1 | 1 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.0458777 | 0.0458217 |

Nonzeroes | 223261 | 218741 |

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

Total | 735 | 721 |

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 | 331 | 331 |

Set Covering | 0 | 51 |

Cardinality | 0 | 0 |

Invariant Knapsack | 0 | 0 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 404 | 339 |

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 | 2.521138 | ||||

Constraint % | 0.138696 | 0.138696 | 0.138696 | 0.138696 | |

Variable % | 0.302069 | 0.302069 | 0.302069 | 0.302069 | |

Score | 0.457698 |

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 | 51200 | 51200 | 0 | 0 | 0 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to nsrand-ipx 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

neos6 | easy | 8786 | 8340 | 0 | 446 | 1036 | 251946 | NEOS Server Submission | neos-pseudoapplication-47 | 83 | benchmark_suitable set_packing set_covering invariant_knapsack knapsack mixed_binary |

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

bppc4-08 | easy | 1456 | 1454 | 0 | 2 | 111 | 23964 | Manuel Iori | bppc | 53 | benchmark benchmark_suitable set_partitioning mixed_binary |

neos-911970 | easy | 888 | 840 | 0 | 48 | 107 | 3408 | NEOS Server Submission | neos-pseudoapplication-70 | 54.76 | benchmark benchmark_suitable set_partitioning set_covering mixed_binary |

probportfolio | hard | 320 | 300 | 0 | 20 | 302 | 6620 | Feng Qiu | -- | 16.734246764 | invariant_knapsack mixed_binary |

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Last Update Nov 16, 2020 by Philipp Wellner

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