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

Christian Liebchen | 11468 | 4768 | 3.48797e-04 | open | -- | 499258899.0000009* | r4l4-02-tree-bounds-50.mps.gz |

Periodic Event Scheduling Problem (PESP) Model for Timetable Optimization in Public Transport Data originating from (see additional file) https://lintim.math.uni-goettingen.de/ and http://num.math.uni-goettingen.de/~m.goerigk/pesplib/ Notation of the variables in the MIP model according to Sec. 9 in Liebchen (2006)

Detailed explanation of the following tables can be found here.

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

Variables | 11468 | 9536 |

Constraints | 4768 | 4768 |

Binaries | 1938 | 7 |

Integers | 2830 | 2830 |

Continuous | 6700 | 6699 |

Implicit Integers | 0 | 0 |

Fixed Variables | 1932 | 0 |

Nonzero Density | 0.000348797 | 0.000376312 |

Nonzeroes | 19072 | 17110 |

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

Total | 4768 | 4768 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 0 | 0 |

Aggregations | 0 | 7 |

Precedence | 0 | 0 |

Variable Bound | 0 | 0 |

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 | 0 | 0 |

Integer Knapsack | 0 | 0 |

Mixed Binary | 1938 | 1931 |

General Linear | 2830 | 2830 |

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 | 2.025306 | ||||

Constraint % | 0.0209732 | 0.566675 | 0.0419463 | 24.3918 | |

Variable % | 0.0314597 | 0.753835 | 0.0734060 | 30.4320 | |

Score | 0.482416 |

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 | 3 | 499258899 | 499253949 | 0 | 0 | 0e+00 | Edward Rothberg | 2020-04-22 | Obtained with Gurobi 9.0 using the solution improvement heuristic |

3 | 2 | 499722034 | 0 | 0 | 1e-07 | Edward Rothberg | 2019-12-13 | Obtained with Gurobi 9.0 | |

2 | 1 | 503362120 | 503362120 | 0 | 0 | 0e+00 | - | 2018-10-11 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to r4l4-02-tree-bounds-50 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.

Instance | Status | Variables | Binaries | Integers | Continuous | Constraints | Nonz. | Submitter | Group | Objective | Tags |
---|---|---|---|---|---|---|---|---|---|---|---|

neos-4650160-yukon | easy | 1412 | 624 | 0 | 788 | 1969 | 6416 | Jeff Linderoth | neos-pseudoapplication-79 | 59.884999987 | benchmark_suitable aggregations precedence variable_bound set_partitioning set_covering knapsack mixed_binary |

bienst2 | easy | 505 | 35 | 0 | 470 | 576 | 2184 | H. Mittelmann | -- | 54.6 | decomposition benchmark_suitable precedence variable_bound cardinality mixed_binary |

bienst1 | easy | 505 | 28 | 0 | 477 | 576 | 2184 | MIPLIB submission pool | -- | 46.7499999999999 | decomposition benchmark_suitable precedence variable_bound cardinality mixed_binary |

newdano | easy | 505 | 56 | 0 | 449 | 576 | 2184 | Daniel Bienstock | dano | 65.66666666 | decomposition benchmark_suitable precedence variable_bound cardinality mixed_binary |

uccase12 | easy | 62529 | 9072 | 0 | 53457 | 121161 | 419447 | Daniel Espinoza | uccase | 11507.4050616 | benchmark benchmark_suitable aggregations precedence variable_bound mixed_binary |

`@article{GoerigkSchachtebeckSchoebel2013, author="M. Goerigk and M. Schachtebeck and A. Sch{\"o}bel", title="Evaluating line concepts using travel times and robustness", journal="Public Transport", volume="5", pages="267--284", year="2013", issue="3"}`

Last Update Nov 16, 2020 by Philipp Wellner

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