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

Emilie Danna | 3080 | 766 | 6.23368e-03 | easy | app | 5751714.3289 | app3.mps.gz |

The archive contains 5 instances coming from 3 applications.app1 is interesting because the continuous variables (w) drive the model.Some solvers have numerical problems on app2 models: some solutions found violate the constraints by a small amount.app2 and app3 models are easy to solve. But they don’t solve fast enough for the time limit I have in mind so I’d like to propose them for inclusion in MIPLIB. Imported from the MIPLIB2010 submissions.

Detailed explanation of the following tables can be found here.

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

Variables | 3080 | 1731 |

Constraints | 766 | 384 |

Binaries | 100 | 80 |

Integers | 0 | 0 |

Continuous | 2980 | 1651 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00623368 | 0.00788020 |

Nonzeroes | 14707 | 5238 |

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

Total | 766 | 384 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 80 | 80 |

Set Partitioning | 0 | 0 |

Set Packing | 5 | 4 |

Set Covering | 0 | 0 |

Cardinality | 0 | 0 |

Invariant Knapsack | 0 | 0 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 681 | 300 |

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 | 0.698970 | ||||

Constraint % | 5.46875 | 5.46875 | 5.46875 | 5.46875 | |

Variable % | 2.31080 | 2.31080 | 2.31080 | 2.31080 | |

Score | 0.213695 |

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 | 5751714 | 5751714 | 0 | 0 | 0 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to app3 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

khb05250 | easy | 1350 | 24 | 0 | 1326 | 101 | 2700 | MIPLIB submission pool | – | 106940225.9999999 | variable_bound mixed_binary |

neos-4954672-berkel | easy | 1533 | 630 | 0 | 903 | 1848 | 8007 | Jeff Linderoth | neos-pseudoapplication-43 | 2612710 | benchmark benchmark_suitable aggregations variable_bound mixed_binary |

dcmulti | easy | 548 | 75 | 0 | 473 | 290 | 1315 | MIPLIB submission pool | – | 188182 | decomposition precedence variable_bound set_packing cardinality invariant_knapsack mixed_binary |

bmoipr2 | easy | 20503 | 8434 | 0 | 12069 | 13897 | 54649 | Sean MacDermant | – | -46416168.2981393 | decomposition numerics aggregations variable_bound set_packing mixed_binary |

neos-3762025-ognon | easy | 4673 | 948 | 0 | 3725 | 2784 | 25384 | Jeff Linderoth | neos-pseudoapplication-3 | 607171.5030499999 | decomposition numerics variable_bound mixed_binary |

`No bibliographic information available`

Last Update 2024 by Julian Manns

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