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

H. Mittelmann | 505 | 576 | 7.50825e-03 | easy | – | 54.6 | bienst2.mps.gz |

Relaxed version of problem bienst

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 505 | 505 |

Constraints | 576 | 576 |

Binaries | 35 | 35 |

Integers | 0 | 0 |

Continuous | 470 | 470 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00750825 | 0.00750825 |

Nonzeroes | 2184 | 2184 |

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

Total | 576 | 576 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 56 | 56 |

Variable Bound | 392 | 392 |

Set Partitioning | 0 | 0 |

Set Packing | 0 | 0 |

Set Covering | 0 | 0 |

Cardinality | 5 | 5 |

Invariant Knapsack | 0 | 0 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 123 | 123 |

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 | 1.763428 | ||||

Constraint % | 1.21528 | 1.36452 | 1.21528 | 9.72222 | |

Variable % | 1.58416 | 1.75439 | 1.58416 | 11.28710 | |

Score | 0.756023 |

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 |
---|---|---|---|---|---|---|---|---|

2 | 54.6 | 54.6 | 0 | 0 | 0 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |

1 | 54.6 | 54.6 | 0 | 0 | 0 | - | 2018-10-13 | Solution imported from MIPLIB2010. |

The following instances are most similar to bienst2 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

bienst1 | easy | 505 | 28 | 0 | 477 | 576 | 2184 | MIPLIB submission pool | – | 46.7499999999999 | decomposition benchmark_suitable precedence variable_bound cardinality mixed_binary |

newdano | easy | 505 | 56 | 0 | 449 | 576 | 2184 | Daniel Bienstock | dano | 65.66666666 | decomposition benchmark_suitable precedence variable_bound cardinality mixed_binary |

danoint | easy | 521 | 56 | 0 | 465 | 664 | 3232 | Daniel Bienstock | dano | 65.6666666666 | benchmark_suitable variable_bound cardinality mixed_binary |

ns1430538 | hard | 33616 | 1680 | 0 | 31936 | 34960 | 178112 | NEOS Server Submission | neos-pseudoapplication-76 | 88 | decomposition precedence variable_bound mixed_binary |

rout | easy | 556 | 300 | 15 | 241 | 291 | 2431 | MIPLIB submission pool | – | 1077.56 | decomposition benchmark_suitable variable_bound set_packing integer_knapsack general_linear |

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Last Update Jul 31, 2019 by Gregor Hendel

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