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Scheduling start time dependent jobs to minimize the total weighted completion time

Author

Listed:
  • A Bachman

    (Wroclaw University of Technology)

  • T C E Cheng

    (The Hong Kong Polytechnic University)

  • A Janiak

    (Wroclaw University of Technology)

  • C T Ng

    (The Hong Kong Polytechnic University)

Abstract

This paper deals with a single machine scheduling problem with start time dependent job processing times. The job processing times are characterized by decreasing linear functions dependent on their start times. The problem is to find a schedule for which the total weighted completion time is minimized. It is proved that the problem is NP-hard. Some properties of special cases of the general problem are also given. Based on these results, two heuristic algorithms are constructed and their performance is compared.

Suggested Citation

  • A Bachman & T C E Cheng & A Janiak & C T Ng, 2002. "Scheduling start time dependent jobs to minimize the total weighted completion time," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(6), pages 688-693, June.
    • Handle: RePEc:pal:jorsoc:v:53:y:2002:i:6:d:10.1057_palgrave.jors.2601359
    DOI: 10.1057/palgrave.jors.2601359
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    Citations

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    Cited by:

    1. Xingong Zhang & Guangle Yan & Wanzhen Huang & Guochun Tang, 2011. "Single-machine scheduling problems with time and position dependent processing times," Annals of Operations Research, Springer, vol. 186(1), pages 345-356, June.
    2. 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.
    3. Wu, Chin-Chia & Lee, Wen-Chiung, 2006. "Two-machine flowshop scheduling to minimize mean flow time under linear deterioration," International Journal of Production Economics, Elsevier, vol. 103(2), pages 572-584, October.
    4. Sawik, Tadeusz, 2010. "An integer programming approach to scheduling in a contaminated area," Omega, Elsevier, vol. 38(3-4), pages 179-191, June.
    5. Rachaniotis, Nikolaos P. & Dasaklis, Tom K. & Pappis, Costas P., 2012. "A deterministic resource scheduling model in epidemic control: A case study," European Journal of Operational Research, Elsevier, vol. 216(1), pages 225-231.
    6. Jin, Xianfei & Li, Kunpeng & Sivakumar, Appa Iyer, 2013. "Scheduling and optimal delivery time quotation for customers with time sensitive demand," International Journal of Production Economics, Elsevier, vol. 145(1), pages 349-358.
    7. Gonzalo Mejía & Carlos Montoya, 2010. "Applications of resource assignment and scheduling with Petri Nets and heuristic search," Annals of Operations Research, Springer, vol. 181(1), pages 795-812, December.
    8. Lee, Wen-Chiung & Shiau, Yau-Ren & Chen, Shiuan-Kang & Wu, Chin-Chia, 2010. "A two-machine flowshop scheduling problem with deteriorating jobs and blocking," International Journal of Production Economics, Elsevier, vol. 124(1), pages 188-197, March.

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