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

Gleb Belov | 11659 | 18442 | 2.54224e-04 | easy | piperout | 8124 | piperout-27.mps.gz |

Pipe routing with flexibility constraints. Instances with _GCM in the name are simple routing

Detailed explanation of the following tables can be found here.

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

Variables | 11659 | 9346 |

Constraints | 18442 | 12571 |

Binaries | 11514 | 9216 |

Integers | 121 | 108 |

Continuous | 24 | 22 |

Implicit Integers | 0 | 28 |

Fixed Variables | 19 | 0 |

Nonzero Density | 0.000254224 | 0.000330781 |

Nonzeroes | 54662 | 38863 |

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

Total | 18442 | 12571 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 45 | 45 |

Precedence | 6044 | 4619 |

Variable Bound | 8160 | 5310 |

Set Partitioning | 46 | 55 |

Set Packing | 19 | 18 |

Set Covering | 0 | 929 |

Cardinality | 12 | 0 |

Invariant Knapsack | 3961 | 1446 |

Equation Knapsack | 2 | 2 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 3 | 5 |

Mixed Binary | 12 | 8 |

General Linear | 138 | 134 |

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 | 1.505150 | ||||

Constraint % | 0.0079500 | 3.15935 | 0.0079500 | 96.9772 | |

Variable % | 0.0195637 | 1.56857 | 0.0195637 | 47.5399 | |

Score | 0.518358 |

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 | 8124 | 8124 | 0 | 0 | 0 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to piperout-27 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.

```
@Inbook{Belov2017,
author="Belov, Gleb
and Garcia de la BAnda, Maria
and Czauderna, Tobias
and Wybrow, Michael
and Wallace, Mark",
editor="Rueher, Michel",
title="An Optimization Model for 3D Pipe Routing with Flexibility Constraints",
bookTitle="Principles and Practice of Constraint Programming: 23rd International Conference, CP 2017, Proceedings",
year="2017",
publisher="Springer International Publishing",
}
```

Last Update Mai 20, 2021 by Philipp Wellner

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