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Mirror scheduling problems with early work and late work criteria

Author

Listed:
  • Xin Chen

    (Liaoning University of Technology)

  • Sergey Kovalev

    (INSEEC School of Business and Economics - INSEEC U. Research Center)

  • Małgorzata Sterna

    (Institute of Computing Science)

  • Jacek Błażewicz

    (Institute of Computing Science
    Polish Academy of Sciences
    European Centre for Bioinformatics and Genomics)

Abstract

We give a definition of a class of mirror scheduling problems, review existing representatives of this class and demonstrate that an identical parallel machine scheduling problem with precedence constraints and an upper bound on the makespan to minimize (maximize) the total weighted early work and the same problem with modified due dates, reversed precedence constraints and the objective function of minimizing (maximizing) the total weighted late work are mirror problems.

Suggested Citation

  • Xin Chen & Sergey Kovalev & Małgorzata Sterna & Jacek Błażewicz, 2021. "Mirror scheduling problems with early work and late work criteria," Journal of Scheduling, Springer, vol. 24(5), pages 483-487, October.
    • Handle: RePEc:spr:jsched:v:24:y:2021:i:5:d:10.1007_s10951-020-00636-9
    DOI: 10.1007/s10951-020-00636-9
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    References listed on IDEAS

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    1. Cheng, T. C. E. & Ding, Q. & Lin, B. M. T., 2004. "A concise survey of scheduling with time-dependent processing times," European Journal of Operational Research, Elsevier, vol. 152(1), pages 1-13, January.
    2. Koulamas, Christos, 2015. "A note on scheduling problems with competing agents and earliness minimization objectives," European Journal of Operational Research, Elsevier, vol. 245(3), pages 875-876.
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    5. Xin Chen & Malgorzata Sterna & Xin Han & Jacek Blazewicz, 2016. "Scheduling on parallel identical machines with late work criterion: Offline and online cases," Journal of Scheduling, Springer, vol. 19(6), pages 729-736, December.
    6. C. N. Potts & L. N. Van Wassenhove, 1992. "Single Machine Scheduling to Minimize Total Late Work," Operations Research, INFORMS, vol. 40(3), pages 586-595, June.
    7. Sterna, Malgorzata, 2011. "A survey of scheduling problems with late work criteria," Omega, Elsevier, vol. 39(2), pages 120-129, April.
    8. Mohamed Aloulou & Mikhail Kovalyov & Marie-Claude Portmann, 2004. "Maximization Problems in Single Machine Scheduling," Annals of Operations Research, Springer, vol. 129(1), pages 21-32, July.
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    Cited by:

    1. Sang, Yao-Wen & Wang, Jun-Qiang & Sterna, Małgorzata & Błażewicz, Jacek, 2023. "Single machine scheduling with due date assignment to minimize the total weighted lead time penalty and late work," Omega, Elsevier, vol. 121(C).
    2. Koulamas, Christos & Kyparisis, George J., 2023. "A classification of dynamic programming formulations for offline deterministic single-machine scheduling problems," European Journal of Operational Research, Elsevier, vol. 305(3), pages 999-1017.

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