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

Gleb Belov | 13104 | 17470 | 9.80475e-04 | easy | piperout | 8124 | piperout-d27.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 | 13104 | 11959 |

Constraints | 17470 | 16196 |

Binaries | 12931 | 11803 |

Integers | 149 | 133 |

Continuous | 24 | 23 |

Implicit Integers | 0 | 6 |

Fixed Variables | 19 | 0 |

Nonzero Density | 0.000980475 | 0.000997284 |

Nonzeroes | 224457 | 193162 |

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

Total | 17470 | 16196 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 247 | 247 |

Precedence | 7226 | 7061 |

Variable Bound | 111 | 111 |

Set Partitioning | 92 | 4210 |

Set Packing | 19 | 18 |

Set Covering | 0 | 1636 |

Cardinality | 4570 | 0 |

Invariant Knapsack | 4889 | 2601 |

Equation Knapsack | 0 | 0 |

Bin Packing | 7 | 7 |

Knapsack | 17 | 5 |

Integer Knapsack | 3 | 4 |

Mixed Binary | 12 | 22 |

General Linear | 277 | 274 |

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 | 1.591065 | ||||

Constraint % | 0.0061800 | 2.32132 | 2.76062 | 8.46097 | |

Variable % | 0.0166945 | 2.62411 | 3.02170 | 10.13360 | |

Score | 0.847019 |

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-d27 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",
}
```

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