Abstract
We prove a result for the head–body–tail problem that has several consequences regarding the shifting bottleneck procedure described by Adams (Manag Sci 34:391–401, 1988). In particular, we show that for a machine with exactly two operations, the one-machine subproblem without precedence constraints cannot lead to a cycle. This provides insight on an erroneous example given in the renowned scheduling textbook of Pinedo (Scheduling: theory, algorithms, and systems, Springer, New York, 2016).
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References
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Acknowledgements
This research was partially conducted while I was working on a TÜBİTAK (The Scientific and Technological Research Council of Turkey) project in Agena BST, Teknopark Istanbul. I am grateful to M. Fatih Hocaoǧlu and İbrahim Genç for giving me this opportunity.
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Güngör, M. A note on the shifting bottleneck procedure for job shop scheduling. J Sched 26, 399–402 (2023). https://doi.org/10.1007/s10951-022-00773-3
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DOI: https://doi.org/10.1007/s10951-022-00773-3