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

Andreas Bärmann | 70116 | 81558 | 2.84854e-04 | open | -- | 1109.55* | zeil.mps.gz |

A model that computes an optimal adaptation of a given timetable draft for a small portion of the German railway network. The aim is to shift the planned departure times of the trains slightly, such that the maximum power consumption (averaed over 15-minute intervalls of the planning horizon) is as small as possible.

Detailed explanation of the following tables can be found here.

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

Variables | 70116 | 66940 |

Constraints | 81558 | 71271 |

Binaries | 5314 | 4551 |

Integers | 0 | 0 |

Continuous | 64802 | 62389 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.000284854 | 0.000295156 |

Nonzeroes | 1628940 | 1408150 |

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

Total | 81558 | 71271 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 2928 | 0 |

Aggregations | 0 | 0 |

Precedence | 15922 | 8813 |

Variable Bound | 120 | 85 |

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 | 62588 | 62373 |

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 | 0.602060 | ||||

Constraint % | 0.0238526 | 4.16158 | 0.297456 | 12.16340 | |

Variable % | 0.0177245 | 2.28252 | 0.187584 | 6.64225 | |

Score | 0.116763 |

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 | |
---|---|---|---|---|---|---|---|---|---|

3 | 4 | 1109.554 | 1109.554 | 0 | 0 | 0 | Edward Rothberg | 2020-06-11 | Obtained with Gurobi 9.0 using the solution improvement heuristic |

1 | 3 | 1169.939 | 0 | 0 | 0 | Edward Rothberg | 2019-12-13 | Obtained with Gurobi 9.0 | |

4 | 2 | 1229.677 | 0 | 0 | 0 | Robert Ashford and Alkis Vazacopoulus | 2019-12-18 | Found using ODH|CPlex | |

2 | 1 | 1330.041 | 1330.041 | 0 | 0 | 0 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to zeil 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-1420546 | open | 26055 | 1125 | 0 | 24930 | 12671 | 67959 | NEOS Server Submission | neos-pseudoapplication-9 | 23011.81329777* | decomposition set_partitioning mixed_binary |

neos-1420790 | open | 4926 | 540 | 0 | 4386 | 2310 | 12720 | NEOS Server Submission | neos-pseudoapplication-9 | 3121.28600159801* | decomposition set_partitioning mixed_binary |

germany50-UUM | open | 6971 | 0 | 88 | 6883 | 2088 | 20737 | MIPLIB submission pool | network_design | 628490* | decomposition aggregations mixed_binary general_linear |

uccase10 | open | 110818 | 16800 | 0 | 94018 | 196498 | 787045 | Daniel Espinoza | uccase | 39134.295915* | aggregations precedence variable_bound mixed_binary |

loopha13 | easy | 19356 | 18150 | 0 | 1206 | 23758 | 41809 | Hamideh | -- | 6.40233 | benchmark_suitable aggregations precedence variable_bound invariant_knapsack mixed_binary |

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Last Update Nov 16, 2020 by Philipp Wellner

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