Synthesis and stochastic assessment of cost-optimal schedules


Mader, Angelika and Bohnenkamp, Henrik and Usenko, Yaroslav S. and Jansen, David N. and Hurink, Johann and Hermanns, Holger (2009) Synthesis and stochastic assessment of cost-optimal schedules. International Journal on Software Tools for Technology Transfer (STTT), 12 (5). pp. 305-317. ISSN 1433-2779

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Abstract:We treat the problem of generating cost-optimal schedules for orders with individual due dates and cost functions based on earliness/tardiness. Orders can run in parallel in a resource-constrained manufacturing environment, where resources are subject to stochastic breakdowns. The goal is to generate schedules while minimizing the expected costs. First, we estimate the distribution of each order type by simulation (assuming a reasonable machine/load model) and derive from the cost-function an optimal offset from the due date of each individual order. Second, these optimal offsets are then used to guide the generation of schedules which are responsible to resolve resource conflicts. Third, we evaluate the generated schedules by simulation. The approach is demonstrated by means of a non-trivial case-study from lacquer production. Optimal offsets are derived with the Modest/Mobius tool, schedules are generated using UPPAAL CORA. The experimental results show that our approach achieves good results in all considered scenarios, and better results than an approach based on adding slack to processing times.
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Copyright:© 2009 Springer
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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