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

Sean MacDermant | 404875 | 153324 | 2.05766e-05 | easy | bmocbd | -32041010095050 | bmocbd.mps.gz |

BMO CBD

Detailed explanation of the following tables can be found here.

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

Variables | 404875 | 278455 |

Constraints | 153324 | 26922 |

Binaries | 125752 | 125281 |

Integers | 0 | 0 |

Continuous | 279123 | 153174 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 2.05766e-05 | 1.19976e-04 |

Nonzeroes | 1277330 | 899410 |

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

Total | 153324 | 26922 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 632 | 0 |

Aggregations | 32 | 14 |

Precedence | 0 | 0 |

Variable Bound | 1726 | 1726 |

Set Partitioning | 0 | 0 |

Set Packing | 11238 | 11238 |

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 | 139696 | 13944 |

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 | 4.112806 | ||||

Constraint % | 0.003710 | 0.00771 | 0.00371 | 51.8461 | |

Variable % | 0.000494 | 0.00531 | 0.00247 | 37.8508 | |

Score | 0.803747 |

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 | -3.204101e+13 | -3.204101e+13 | 0 | 0 | 1.461435 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |

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

bmocbd2 | easy | 403771 | 125467 | 0 | 278304 | 152791 | 1274240 | Sean MacDermant | bmocbd | -3.195301e+13 | decomposition numerics aggregations variable_bound set_packing mixed_binary |

nb10tb | open | 73340 | 16880 | 0 | 56460 | 150495 | 1172290 | Serge Bisaillon | – | 13797867680.1445* | decomposition numerics aggregations precedence variable_bound set_packing invariant_knapsack binpacking knapsack mixed_binary |

cmflsp60-36-2-6 | open | 42192 | 2232 | 0 | 39960 | 6388 | 581335 | Andrea Arias | cmflsp | 73924742.8388186* | precedence variable_bound mixed_binary |

cmflsp40-36-2-10 | open | 28152 | 1512 | 0 | 26640 | 4266 | 386432 | Andrea Arias | cmflsp | 66456407.5181282* | precedence variable_bound mixed_binary |

cmflsp50-24-10-4 | easy | 16440 | 1440 | 0 | 15000 | 3527 | 159605 | Andrea Arias | cmflsp | 58988866.7484 | numerics precedence variable_bound mixed_binary |

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Last Update Jun 24, 2020 by Gabriel Kressin

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