Abstract
A state-of-the-art review over fifty years of flow shop scheduling research, written by Gupta and Stafford (2006), comes to the conclusion that the mathematical theory of flow shop scheduling “suffers from too much abstraction and too little application”. In this paper we will develop an extended mathematical model for flow shop scheduling with parallel lines and simultaneously a worker assignment to machines as well as a solution concept for practical use. Such production systems are realized by applying the BTO-(Build to order) concept, as can be found in the automotive or computer industry, which allows customers to make any changes to their vehicles or hardware configuration within a few days before final assembly. In these cases late configuration is an important task for the producer and a complex scheduling problem arises in this context.
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Acknowledgements
We are grateful to Mr. Ortner for his support in programming the algorithm and conducting the numerical experiments.
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Zäpfel, G., Wasner, M. & Braune, R. Integration between flow scheduling and personnel allocation in a parallel line system in automotive industry. Z Betriebswirtsch 82, 417–432 (2012). https://doi.org/10.1007/s11573-012-0555-2
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DOI: https://doi.org/10.1007/s11573-012-0555-2