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

Sam Allen | 344 | 601 | 2.50358e-02 | easy | pigeon | -7000 | pigeon-08.mps.gz |

Instance of 3D packing (container loading) problem

Imported from the MIPLIB2010 submissions.

Detailed explanation of the following tables can be found here.

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

Variables | 344 | 272 |

Constraints | 601 | 600 |

Binaries | 272 | 248 |

Integers | 0 | 0 |

Continuous | 72 | 24 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.0250358 | 0.0316667 |

Nonzeroes | 5176 | 5168 |

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

Total | 601 | 600 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 0 |

Precedence | 0 | 0 |

Variable Bound | 0 | 0 |

Set Partitioning | 0 | 8 |

Set Packing | 0 | 0 |

Set Covering | 0 | 0 |

Cardinality | 48 | 40 |

Invariant Knapsack | 168 | 168 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 1 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 384 | 384 |

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 | 0.602060 | ||||

Constraint % | 21.3333 | 21.3333 | 21.3333 | 21.3333 | |

Variable % | 32.3529 | 32.3529 | 32.3529 | 32.3529 | |

Score | 0.432941 |

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 | -7000 | -7000 | 0 | 0 | 0 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to pigeon-08 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

pigeon-10 | easy | 490 | 400 | 0 | 90 | 931 | 8150 | Sam Allen | pigeon | -9000 | benchmark_suitable set_partitioning cardinality invariant_knapsack mixed_binary |

pigeon-13 | easy | 754 | 637 | 0 | 117 | 1561 | 13871 | Sam Allen | pigeon | -12000 | benchmark_suitable set_partitioning cardinality invariant_knapsack mixed_binary |

pigeon-16 | easy | 1072 | 928 | 0 | 144 | 2353 | 21104 | Sam Allen | pigeon | -15000 | benchmark_suitable set_partitioning cardinality invariant_knapsack mixed_binary |

pigeon-20 | easy | 1580 | 1400 | 0 | 180 | 3661 | 33100 | Sam Allen | pigeon | -19000 | benchmark_suitable set_partitioning cardinality invariant_knapsack mixed_binary |

supportcase41 | open | 4725 | 2000 | 0 | 2725 | 28923 | 221321 | Domenico Salvagnin | -- | 32.03376809388* | precedence variable_bound mixed_binary |

`No bibliographic information available`

Last Update Mai 20, 2021 by Philipp Wellner

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