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

MIPLIB submission pool | 7350 | 2220 | 1.35907e-03 | easy | nus-prxy | 35520 | nu4-pr9.mps.gz |

Imported from the MIPLIB2010 submissions.

Detailed explanation of the following tables can be found here.

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

Variables | 7350 | 7312 |

Constraints | 2220 | 2185 |

Binaries | 7308 | 7270 |

Integers | 42 | 42 |

Continuous | 0 | 0 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00135907 | 0.00137794 |

Nonzeroes | 22176 | 22015 |

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

Total | 2220 | 2185 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 4 | 0 |

Aggregations | 174 | 162 |

Precedence | 0 | 0 |

Variable Bound | 6 | 3 |

Set Partitioning | 14 | 0 |

Set Packing | 0 | 0 |

Set Covering | 0 | 0 |

Cardinality | 1900 | 1907 |

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 | 122 | 113 |

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 | 1.954243 | ||||

Constraint % | 0.0457666 | 1.07834 | 1.09840 | 1.23570 | |

Variable % | 0.0272814 | 1.11992 | 1.14582 | 1.14582 | |

Score | 0.948869 |

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 | 35520 | 35520 | 0 | 0 | 0 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to nu4-pr9 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

nu120-pr9 | easy | 7350 | 7308 | 42 | 0 | 2220 | 22176 | MIPLIB submission pool | nus-prxy | 24945 | decomposition numerics aggregations variable_bound cardinality general_linear |

nu25-pr12 | easy | 5868 | 5832 | 36 | 0 | 2313 | 17712 | MIPLIB submission pool | nus-prxy | 53904.99999999999 | benchmark decomposition benchmark_suitable aggregations variable_bound cardinality general_linear |

nu120-pr12 | easy | 5868 | 5832 | 36 | 0 | 2313 | 17712 | MIPLIB submission pool | nus-prxy | 42215 | decomposition aggregations variable_bound cardinality general_linear |

tbfp-network | easy | 72747 | 72747 | 0 | 0 | 2436 | 215837 | Rob Pratt | – | 24.16319444 | benchmark binary benchmark_suitable set_partitioning cardinality |

neos-827175 | easy | 32504 | 21350 | 0 | 11154 | 14187 | 110790 | NEOS Server Submission | neos-pseudoapplication-87 | 112.00152 | benchmark decomposition benchmark_suitable aggregations set_partitioning set_packing cardinality binpacking mixed_binary general_linear |

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Last Update Mar 04, 2024 by Julian Manns

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