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

A. Miller | 792 | 1307 | 3.81879e-03 | hard | – | 184202.75 | bg512142.mps.gz |

Multilevel lot-sizing instance.

Imported from MIPLIB2010. Three restarted runs of ParaCPLEX using CPLEX 12.5 solved this instance on a cluster in approximately 490 hours.

Detailed explanation of the following tables can be found here.

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

Variables | 792 | 779 |

Constraints | 1307 | 920 |

Binaries | 240 | 230 |

Integers | 0 | 0 |

Continuous | 552 | 549 |

Implicit Integers | 0 | 0 |

Fixed Variables | 0 | 0 |

Nonzero Density | 0.00381879 | 0.00490316 |

Nonzeroes | 3953 | 3514 |

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

Total | 1307 | 920 |

Empty | 0 | 0 |

Free | 0 | 0 |

Singleton | 372 | 0 |

Aggregations | 4 | 4 |

Precedence | 0 | 10 |

Variable Bound | 274 | 262 |

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 | 657 | 644 |

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 | 1.724276 | ||||

Constraint % | 0.108696 | 1.20192 | 0.108696 | 21.8478 | |

Variable % | 0.253485 | 1.53310 | 0.253485 | 25.4753 | |

Score | 0.512987 |

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 | 185683.5 | 185683.5 | 8.1e-06 | 0 | 0 | - | 2018-10-12 | Solution found during MIPLIB2017 problem selection. |

The following instances are most similar to bg512142 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 |
---|---|---|---|---|---|---|---|---|---|---|---|

dg012142 | hard | 2080 | 640 | 0 | 1440 | 6310 | 14795 | A. Miller | – | 2300867 | aggregations precedence variable_bound mixed_binary |

tr12-30 | easy | 1080 | 360 | 0 | 720 | 750 | 2508 | MIPLIB submission pool | – | 130596 | benchmark decomposition benchmark_suitable aggregations variable_bound mixed_binary |

neos-3754480-nidda | hard | 253 | 50 | 0 | 203 | 402 | 1488 | Jeff Linderoth | neos-pseudoapplication-107 | 12941.74 | benchmark benchmark_suitable precedence variable_bound knapsack mixed_binary |

exp-1-500-5-5 | easy | 990 | 250 | 0 | 740 | 550 | 1980 | MIPLIB submission pool | exp_and_fc | 65887 | benchmark benchmark_suitable variable_bound set_packing mixed_binary |

a1c1s1 | easy | 3648 | 192 | 0 | 3456 | 3312 | 10178 | M. Vyve, Y. Pochet | c1s1 | 11503.444125 | benchmark_suitable aggregations variable_bound mixed_binary |

```
@article{AkartunaliMiller2009,
author = {Akartunal{\i}, K. and A. J. Miller},
journal = {European Journal of Operational Research},
pages = {396-411},
title = {A Heuristic Approach for Big Bucket Multi-Level Production Planning
Problems},
volume = {193},
year = {2009}
}
@article{FischettiGloverLodi2005,
author = {M. Fischetti and F. Glover and A. Lodi},
journal = {Mathematical Programming},
pages = {91--104},
title = {The feasibility pump},
volume = {104},
year = {2005}
}
@article{Stadtler2003,
author = {Stadtler, Hartmut},
journal = {Operations Research},
number = {3},
pages = {487-502},
title = {Multilevel Lot Sizing with Setup Times and Multiple Constrained Resources: Internally Rolling Schedules with Lot-Sizing Windows},
volume = {51},
year = {2003}
}
```

Last Update Jun 24, 2019 by Gregor Hendel

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