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

Sean MacDermant | 403771 | 152791 | 2.06547e-05 | open | bmocbd | -372986719.737107* | bmocbd3.mps.gz |

BMOCBD3.mps; A Basic Production Planning and Logistics Model, where the Binary Variables require each customer order to be fulfilled from a single source facility.

Detailed explanation of the following tables can be found here.

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

Variables | 403771 | 403574 |

Constraints | 152791 | 152167 |

Binaries | 125467 | 125467 |

Integers | 0 | 0 |

Continuous | 278304 | 278107 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 2.06547e-05 | 2.07391e-05 |

Nonzeroes | 1274240 | 1273600 |

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

Total | 152791 | 152167 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 607 | 0 |

Aggregations | 31 | 14 |

Precedence | 0 | 0 |

Variable Bound | 1689 | 1689 |

Set Partitioning | 0 | 0 |

Set Packing | 11179 | 11179 |

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 | 139285 | 139285 |

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 | |||||

Constraint % | |||||

Variable % | |||||

Score |

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 | 2 | -372986720 | 0 | 0 | 1.00e-07 | Robert Ashford and Alkis Vazacopoulus | 2019-12-18 | Found using ODH|CPlex | |

1 | 1 | -372419774 | -372419773 | 0 | 0 | 4.47e-05 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to bmocbd3 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-5151569-mologa | open | 108116 | 22230 | 0 | 85886 | 45671 | 517666 | Jeff Linderoth | neos-pseudoapplication-82 | 686789910.917* | numerics aggregations set_packing mixed_binary |

neos-4290317-perth | open | 54708 | 1042 | 0 | 53666 | 65580 | 398380 | Jeff Linderoth | neos-pseudoapplication-76 | 3017324.03186391* | decomposition numerics aggregations precedence variable_bound mixed_binary |

neos-520729 | easy | 91149 | 30708 | 0 | 60441 | 31178 | 322203 | NEOS Server Submission | neos-pseudoapplication-50 | -1385000.000166 | numerics aggregations set_partitioning mixed_binary |

n3705 | open | 10000 | 5000 | 0 | 5000 | 5150 | 20000 | J. Aronson | n37 | 1212657.0* | decomposition variable_bound mixed_binary |

n3709 | open | 10000 | 5000 | 0 | 5000 | 5150 | 20000 | J. Aronson | n37 | 1207965.0* | decomposition variable_bound mixed_binary |

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Last Update Mai 20, 2021 by Philipp Wellner

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