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

Utz-Uwe Haus | 5282 | 20346 | 6.65103e-04 | easy | – | 204.08170701 | istanbul-no-cutoff.mps.gz |

Exact MILP reformulation using binary decision diagrams to obtain scenario bundles of 2-stage stochastic expected shortest path and expected maximum flow problem with decision dependent scenario probabilities. Notes: * very few binary variables * for each fixing of the binaries a system of equations computing conditioned probabilities remains

Detailed explanation of the following tables can be found here.

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

Variables | 5282 | 5110 |

Constraints | 20346 | 19532 |

Binaries | 30 | 24 |

Integers | 0 | 0 |

Continuous | 5252 | 5086 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.000665103 | 0.000654744 |

Nonzeroes | 71477 | 65349 |

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

Total | 20346 | 19532 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 144 | 0 |

Aggregations | 5 | 5 |

Precedence | 0 | 0 |

Variable Bound | 0 | 950 |

Set Partitioning | 0 | 0 |

Set Packing | 0 | 0 |

Set Covering | 0 | 0 |

Cardinality | 0 | 0 |

Invariant Knapsack | 0 | 0 |

Equation Knapsack | 0 | 0 |

Bin Packing | 0 | 0 |

Knapsack | 1 | 1 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 20196 | 18576 |

General Linear | 0 | 0 |

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 | 1.875061 | ||||

Constraint % | 0.005120 | 0.0660731 | 0.0102396 | 0.875486 | |

Variable % | 0.038432 | 0.1399650 | 0.0384320 | 1.383550 | |

Score | 0.048552 |

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 | 204.0817 | 204.0817 | 3.7e-06 | 8e-07 | 0 | - | 2018-10-13 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to istanbul-no-cutoff 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.

```
@TechReport{haus-michini-laumanns:17-arxiv,
author = {Utz-Uwe Haus and Carla Michini and Marco Laumanns},
title = {Scenario Aggregation using Binary Decision Diagrams
for Stochastic Programs with Endogenous Uncertainty},
institution = {arxiv.org},
year = 2017,
type = {arxiv eprint},
number = {arXiv:1701.04055}
}
```

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