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Online Machine Scheduling with Family Setups

Author

Listed:
  • Lele Zhang

    (Department of Mechanical Engineering, The University of Melbourne, VIC 3010, Australia)

  • Andrew Wirth

    (Department of Mechanical Engineering, The University of Melbourne, VIC 3010, Australia)

Abstract

We consider the problem of online scheduling a single machine with family setups under job availability. A setup must be scheduled when the next job comes from a different family from the last completed one, if any. The aim is to minimize the total completion time of all jobs. For the special case of identical processing times, we provide a lower bound for the competitive ratio and an online algorithm with its competitive analysis.

Suggested Citation

  • Lele Zhang & Andrew Wirth, 2016. "Online Machine Scheduling with Family Setups," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(04), pages 1-16, August.
    • Handle: RePEc:wsi:apjorx:v:33:y:2016:i:04:n:s0217595916500275
    DOI: 10.1142/S0217595916500275
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    References listed on IDEAS

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    1. Potts, Chris N. & Kovalyov, Mikhail Y., 2000. "Scheduling with batching: A review," European Journal of Operational Research, Elsevier, vol. 120(2), pages 228-249, January.
    2. Allahverdi, Ali & Gupta, Jatinder N. D. & Aldowaisan, Tariq, 1999. "A review of scheduling research involving setup considerations," Omega, Elsevier, vol. 27(2), pages 219-239, April.
    3. Allahverdi, Ali & Ng, C.T. & Cheng, T.C.E. & Kovalyov, Mikhail Y., 2008. "A survey of scheduling problems with setup times or costs," European Journal of Operational Research, Elsevier, vol. 187(3), pages 985-1032, June.
    4. N.D. Gupta, Jatinder, 1988. "Single facility scheduling with multiple job classes," European Journal of Operational Research, Elsevier, vol. 33(1), pages 42-45, January.
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    Cited by:

    1. Jin Xu & Natarajan Gautam, 2020. "On competitive analysis for polling systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 67(6), pages 404-419, September.

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