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Project director: | Prof. Dr. Rolf H. Möhring |
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Researcher: | Wiebke Höhn |

Associated researchers: | Torsten Gellert Felix G. König Dr. Marco E. Lübbecke Jens Schulz |

Support: | DFG Priority Programme 1307 "Algorithm Engineering" |

Since: | 2007 |

## Project Overview

Real-world scheduling problems are usually much more complex than most of the models that were considered in algorithm theory so far. Typically, optimal solutions cannot be found in reasonable computing time. However in practice, good solutions have to be computed fast. To meet the runtime requirements, mostly (simple) heuristics are established in industry, not taking into account results and techniques that are know for related theoretical problems. We aim to start filling this gap between theory and practice for the following fields of scheduling:

**Integrated Sequencing and Scheduling**, a class of problems typically arising in production planning: For a given set of goods, a minimum cost processing sequence has to determined. The cost of a sequence highly depends on the corresponding (non-trivial) scheduling decisions taken, e.g. the scheduling of setup work.

**Basis Sequencing** aims for a minimum cost sequence of a set of given items. In contrast to the previous problem class, the cost incurred by an item solely depends on the neighboring items or on the item's completion time. Basic sequencing problems often occur as a subproblem in integrated sequencing and scheduling, and hence, insights on these problems are of great value.

**Turnaround Scheduling**, a field of scheduling problems which result from shutting down industrial plants for maintenance. These problems are characterized by time-cost tradeoff, precedence constraints, hiring external resources, resource leveling, different working shifts, and risk analysis.

We seek for insights into the structure and complexity of these problems, which then need to be transferred into efficient algorithms, aiming to produce provably good solutions also for large real-world problems within an appropriate computing time. Realistic data is available from cooperations with T.A. Cook Consultants, PSI Metals and Salzgitter Flachstahl, and Sachsenmilch, respectively (10.000 - 100.000 activities for turnaround scheduling, and two examples from sequencing and scheduling, one from coil coating with 20-40 coils, and another one from dairy industry with 30-40 jobs).

## Publications

Citation key | GellertHoehnMoehring2011 |
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Author | Gellert, Torsten and Höhn, Wiebke and Möhring, Rolf H. |

Pages | 491–504 |

Year | 2011 |

DOI | 10.1007/s11590-011-0336-9 |

Journal | Optimization Letters |

Volume | 5 |

Number | 3 |

Note | Special issue of SEA 2011 |

Publisher | Springer |