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Two-machine permutation flow shop scheduling with generalized due dates to minimize total late work

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  • Byung-Cheon Choi

    (Chungnam National University)

  • Myoung-Ju Park

    (Seoul National University)

  • Kyung Min Kim

    (Myongji University)

Abstract

We consider a two-machine permutation flow shop scheduling problem with generalized due dates to minimize total late work. Note that in our problem, a due date is given based on a specific position instead of a specific job. First, we analyze how the computational complexity varies depending on the structure of the processing times. Then, we present a mixed-integer programming model, two heuristics, and a branch-and-bound algorithm. Finally, we conduct numerical experiments and recommend which solution approach should be applied in which case.

Suggested Citation

  • Byung-Cheon Choi & Myoung-Ju Park & Kyung Min Kim, 2025. "Two-machine permutation flow shop scheduling with generalized due dates to minimize total late work," Journal of Scheduling, Springer, vol. 28(6), pages 563-576, December.
    • Handle: RePEc:spr:jsched:v:28:y:2025:i:6:d:10.1007_s10951-025-00834-3
    DOI: 10.1007/s10951-025-00834-3
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