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

Domenico Salvagnin | 84376 | 197154 | 3.09698e-05 | open | allcolor | 258.0* | allcolor58.mps.gz |

Prepack optimization model.

Detailed explanation of the following tables can be found here.

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

Variables | 84376 | 52982 |

Constraints | 197154 | 139746 |

Binaries | 2492 | 25480 |

Integers | 78288 | 27038 |

Continuous | 3596 | 464 |

Implicit Integers | 0 | 1768 |

Fixed Variables | 1160 | 0 |

Nonzero Density | 3.09698e-05 | 4.64720e-05 |

Nonzeroes | 515184 | 344080 |

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

Total | 197154 | 140248 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 6356 |

Precedence | 58464 | 31290 |

Variable Bound | 58464 | 58464 |

Set Partitioning | 14 | 468 |

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 | 502 |

Mixed Binary | 854 | 0 |

General Linear | 79358 | 43168 |

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 | 1.462398 | ||||

Constraint % | 0.000716 | 3.53964 | 3.53964 | 7.07856 | |

Variable % | 0.007550 | 3.47571 | 3.47571 | 6.94387 | |

Score | 0.922285 |

Find solutions below. Download the archive containing all solutions from the Download page.

`## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion`

ID | Objective | Exact | Int. Viol | Cons. Viol | Obj. Viol | Submitter | Date | Description |
---|---|---|---|---|---|---|---|---|

6 | 258 | 258 | 0 | 0 | 0 | Edward Rothberg | 2021-12-28 | This was obtained using the NoRel heuristic with Gurobi 9.5. |

5 | 366 | 366 | 0 | 0 | 0 | Edward Rothberg | 2020-05-15 | Obtained with Gurobi 9.0 using the solution improvement heuristic |

4 | 439 | 439 | 0 | 0 | 0 | Frederic Didier | 2020-02-24 | Obtained with Google OR-tools through generating subproblems by fixing part of the current solution and trying to solve them with a sub CP-SAT solver |

3 | 988 | 0 | 0 | 0 | Edward Rothberg | 2020-02-17 | Obtained with Gurobi 9.0 using the solution improvement heuristic | |

2 | 1157 | 0 | 0 | 0 | Robert Ashford and Alkis Vazacopoulus | 2019-12-18 | Found using ODH|CPlex | |

1 | 3378 | 3378 | 0 | 0 | 0 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to allcolor58 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}
```

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