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

Serge Bisaillon | 73340 | 150495 | 1.06212e-04 | open | -- | 13796452423.08137* | nb10tb.mps.gz |

Forestry industry model

Imported from MIPLIB2010.

Detailed explanation of the following tables can be found here.

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

Variables | 73340 | 61005 |

Constraints | 150495 | 112397 |

Binaries | 16880 | 12676 |

Integers | 0 | 0 |

Continuous | 56460 | 48329 |

Implicit Integers | 0 | 0 |

Fixed Variables | 2816 | 0 |

Nonzero Density | 0.000106212 | 0.000128832 |

Nonzeroes | 1172290 | 883372 |

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

Total | 150495 | 112397 |

Empty | 696 | 0 |

Free | 0 | 0 |

Singleton | 1888 | 0 |

Aggregations | 165 | 19 |

Precedence | 15078 | 11198 |

Variable Bound | 25041 | 26311 |

Set Partitioning | 0 | 0 |

Set Packing | 69278 | 45885 |

Set Covering | 0 | 0 |

Cardinality | 0 | 0 |

Invariant Knapsack | 11794 | 6396 |

Equation Knapsack | 0 | 0 |

Bin Packing | 282 | 270 |

Knapsack | 2088 | 1776 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 24185 | 20542 |

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 | 1.908485 | ||||

Constraint % | 0.00089 | 1.021550 | 0.00089 | 25.1955 | |

Variable % | 0.00328 | 0.485592 | 0.00328 | 10.4187 | |

Score | 0.776902 |

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

3 | 13796452423 | 13796453600 | 0 | 8e-07 | 1.67e-05 | Michael Winkler | 2022-08-24 | Found with Gurobi 9.5.1 |

2 | 13797867680 | 0 | 8e-07 | 2.60e-06 | Robert Ashford and Alkis Vazacopoulus | 2019-12-18 | Found using ODH|CPlex | |

1 | 13947488561 | 13947488561 | 0 | 0e+00 | 2.40e-06 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to nb10tb 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

unitcal_7 | easy | 25755 | 2856 | 0 | 22899 | 48939 | 127595 | R. O'Neill | -- | 19635558.244 | benchmark benchmark_suitable precedence variable_bound mixed_binary general_linear |

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

irish-electricity | easy | 61728 | 9888 | 0 | 51840 | 104259 | 523257 | Paula Carroll | -- | 3723497.591396 | benchmark benchmark_suitable precedence variable_bound invariant_knapsack binpacking knapsack mixed_binary |

app3 | easy | 3080 | 100 | 0 | 2980 | 766 | 14707 | Emilie Danna | app | 5751714.3289 | variable_bound set_packing mixed_binary |

gasprod2-2 | easy | 29568 | 6826 | 0 | 22742 | 72728 | 280740 | Andrew Stamps | gasprod | 1375631.6625 | numerics aggregations precedence variable_bound set_packing invariant_knapsack binpacking mixed_binary |

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Last Update Aug 03, 2023 by Jan Krüger

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