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A note on the shifting bottleneck procedure for job shop scheduling

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  • Murat Güngör

    (Istanbul Medeniyet University)

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).

Suggested Citation

  • Murat Güngör, 2023. "A note on the shifting bottleneck procedure for job shop scheduling," Journal of Scheduling, Springer, vol. 26(4), pages 399-402, August.
    • Handle: RePEc:spr:jsched:v:26:y:2023:i:4:d:10.1007_s10951-022-00773-3
    DOI: 10.1007/s10951-022-00773-3
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    References listed on IDEAS

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    1. Joseph Adams & Egon Balas & Daniel Zawack, 1988. "The Shifting Bottleneck Procedure for Job Shop Scheduling," Management Science, INFORMS, vol. 34(3), pages 391-401, March.
    2. Egon Balas & Jan Karel Lenstra & Alkis Vazacopoulos, 1995. "The One-Machine Problem with Delayed Precedence Constraints and its Use in Job Shop Scheduling," Management Science, INFORMS, vol. 41(1), pages 94-109, January.
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