Titlebook: Large-Scale Crew Scheduling; Models, Methods, and Silke Jütte Book 2012 The Editor(s) (if applicable) and The Author(s), under exclusive li

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Fundamentals of Large-Scale Crew Scheduling, of crew scheduling, provides an overview of crew scheduling applications in the industry, and relates the crew scheduling problem to other planning tasks at a transportation company. Section 2.2 introduces the decomposition principle in linear programming and the column generation solution techniqu

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The Divide-and-Price Decomposition Algorithm,ys even for large problem instances of about 20, 000 trips. Such runtimes are acceptable for most medium-term planning problems, where crew schedules are generated several weeks or months before operation. For some practical settings, though, the benefit of these algorithms is limited: Firstly, some

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Decomposition Strategies for Large-Scale Crew Scheduling Problems,lt in close-tooptimal scheduling costs, poor problem decompositions can give away large parts of the solution quality. Research on decomposition strategies, though, has been performed in a rather punctual way so far; an overall best method of decomposing a crew scheduling problem is not known.

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Conclusion and Outlook,. By combining a smart decomposition strategy with a pricing procedure, our algorithm is capable of generating crew schedules of high quality while significantly reducing runtimes compared to common solution alternatives from the literature. In the following, we give a summary of the four main chapt

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Silke Jüttekey pathogenic cells in liver diseases. Excessive ECM accumulation results in tissue scarring, referred to as liver fibrosis, that progresses to liver cirrhosis (liver dysfunction) and hepatocellular carcinoma. Recent studies using single cell RNA sequencing have discovered various subpopulations of

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