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

Domenico Salvagnin | 14872 | 34014 | 1.76208e-04 | hard | allcolor | 6 | allcolor10.mps.gz |

Prepack optimization instance.

Detailed explanation of the following tables can be found here.

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

Variables | 14872 | 9330 |

Constraints | 34014 | 23870 |

Binaries | 476 | 4466 |

Integers | 13776 | 4784 |

Continuous | 620 | 80 |

Implicit Integers | 0 | 304 |

Fixed Variables | 200 | 0 |

Nonzero Density | 0.000176208 | 0.000264635 |

Nonzeroes | 89136 | 58936 |

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

Total | 34014 | 23953 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 1134 |

Precedence | 10080 | 5278 |

Variable Bound | 10080 | 10080 |

Set Partitioning | 14 | 95 |

Set Packing | 0 | 0 |

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 | 83 |

Mixed Binary | 146 | 0 |

General Linear | 13694 | 7283 |

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 | 1.322219 | ||||

Constraint % | 0.004190 | 4.95727 | 7.08002 | 7.08002 | |

Variable % | 0.235798 | 4.94641 | 6.95606 | 6.95606 | |

Score | 0.922504 |

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 | 4 | 6 | 6 | 0.0e+00 | 0 | 0 | Frederic Didier | 2020-01-22 | Obtained by fixing part of the current solution and trying to solve them with a sub CP-SAT solver |

1 | 3 | 12 | 1.4e-06 | 0 | 0 | Edward Rothberg | 2020-02-04 | Found with Gurobi 9.0 | |

4 | 2 | 63 | 0.0e+00 | 0 | 0 | Robert Ashford and Alkis Vazacopoulus | 2019-12-18 | Found using ODH|CPlex | |

2 | 1 | 159 | 159 | 0.0e+00 | 0 | 0 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to allcolor10 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.

```
@article{FMS16,
Author = {Matteo Fischetti and Michele Monaci and Domenico Salvagnin},
Journal = {Discrete Optimization},
Pages = {195--205},
Title = {Mixed-Integer Linear Programming Heuristics for the PrePack Optimization Problem},
Volume = {22},
Year = {2016}}
@incollection{HMMMMR14,
Author = {Hoskins, M. and R. Masson and G.G. Melanon and J.E. Mendoza and C. Meyer and L.-M. Rousseau},
Booktitle = {Integration of AI and OR Techniques in Constraint Programming},
Editor = {Simonis, H.},
Pages = {136--143},
Publisher = {Springer Berlin / Heidelberg},
Series = {Lecture Notes in Computer Science},
Title = {The {P}re{P}ack {O}ptimization {P}roblem},
Volume = {8451},
Year = 2014}
```

Last Update Jun 24, 2020 by Gabriel Kressin

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