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

Gleb Belov | 10399 | 14589 | 2.96346e-04 | easy | piperout | 125055 | piperout-08.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 | 10399 | 7907 |

Constraints | 14589 | 9078 |

Binaries | 10245 | 7776 |

Integers | 130 | 108 |

Continuous | 24 | 23 |

Implicit Integers | 0 | 28 |

Fixed Variables | 14 | 0 |

Nonzero Density | 0.000296346 | 0.000416009 |

Nonzeroes | 44959 | 29861 |

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

Total | 14589 | 9078 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 49 | 45 |

Precedence | 4697 | 3135 |

Variable Bound | 6762 | 4224 |

Set Partitioning | 46 | 56 |

Set Packing | 19 | 18 |

Set Covering | 0 | 516 |

Cardinality | 14 | 0 |

Invariant Knapsack | 2845 | 933 |

Equation Knapsack | 0 | 2 |

Bin Packing | 0 | 0 |

Knapsack | 0 | 0 |

Integer Knapsack | 1 | 4 |

Mixed Binary | 12 | 10 |

General Linear | 144 | 135 |

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 | 0.698970 | ||||

Constraint % | 0.209297 | 23.0502 | 2.70434 | 86.5829 | |

Variable % | 0.238014 | 10.4783 | 1.79644 | 38.0823 | |

Score | 0.590616 |

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 | 125055 | 125055 | 0 | 0 | 0 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to piperout-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.

```
@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 Aug 28, 2019 by Gregor Hendel

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