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Flow shop scheduling problems with deteriorating jobs under dominating machines

Author

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  • J-B Wang

    (Shenyang Institute of Aeronautical Engineering)

  • Z-Q Xia

    (Dalian University of Technology)

Abstract

This paper considers the general, no-wait and no-idle flow shop scheduling problems with deteriorating jobs. By a deteriorating job we mean that the processing time is an increasing function of its execution starting time. A linear deterioration function is assumed and some dominating relationships between machines can be satisfied. It is shown that for the problems to minimize the makespan or the weighted sum of completion time, polynomial algorithms still exist, although these problems are more complicated than the classical ones. When the objective is to minimize the maximum lateness, the solutions of a classical version may not hold.

Suggested Citation

  • J-B Wang & Z-Q Xia, 2006. "Flow shop scheduling problems with deteriorating jobs under dominating machines," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(2), pages 220-226, February.
    • Handle: RePEc:pal:jorsoc:v:57:y:2006:i:2:d:10.1057_palgrave.jors.2601959
    DOI: 10.1057/palgrave.jors.2601959
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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. B Alidaee & N K Womer, 1999. "Scheduling with time dependent processing times: Review and extensions," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(7), pages 711-720, July.
    3. Sid Browne & Uri Yechiali, 1990. "Scheduling Deteriorating Jobs on a Single Processor," Operations Research, INFORMS, vol. 38(3), pages 495-498, June.
    4. Xiang, S. & Tang, G. & Cheng, T. C. E., 2000. "Solvable cases of permutation flowshop scheduling with dominating machines," International Journal of Production Economics, Elsevier, vol. 66(1), pages 53-57, June.
    5. Cepek, Ondrej & Okada, Masanori & Vlach, Milan, 2002. "Nonpreemptive flowshop scheduling with machine dominance," European Journal of Operational Research, Elsevier, vol. 139(2), pages 245-261, June.
    6. Gur Mosheiov, 1991. "V-Shaped Policies for Scheduling Deteriorating Jobs," Operations Research, INFORMS, vol. 39(6), pages 979-991, December.
    7. van den Nouweland, Anne & Krabbenborg, Marc & Potters, Jos, 1992. "Flow-shops with a dominant machine," European Journal of Operational Research, Elsevier, vol. 62(1), pages 38-46, October.
    8. Sundararaghavan, P. S. & Kunnathur, A. S., 1994. "Single machine scheduling with start time dependent processing times: Some solvable cases," European Journal of Operational Research, Elsevier, vol. 78(3), pages 394-403, November.
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    Cited by:

    1. Wang, John & Yan, Ruiliang & Hollister, Kimberly & Zhu, Dan, 2008. "A historic review of management science research in China," Omega, Elsevier, vol. 36(6), pages 919-932, December.
    2. Allahverdi, Ali, 2016. "A survey of scheduling problems with no-wait in process," European Journal of Operational Research, Elsevier, vol. 255(3), pages 665-686.
    3. C-C He & C-C Wu & W-C Lee, 2009. "Branch-and-bound and weight-combination search algorithms for the total completion time problem with step-deteriorating jobs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(12), pages 1759-1766, December.
    4. Cheng, Mingbao & Tadikamalla, Pandu R. & Shang, Jennifer & Zhang, Shaqing, 2014. "Bicriteria hierarchical optimization of two-machine flow shop scheduling problem with time-dependent deteriorating jobs," European Journal of Operational Research, Elsevier, vol. 234(3), pages 650-657.
    5. Wang, Ling & Sun, Lin-Yan & Sun, Lin-Hui & Wang, Ji-Bo, 2010. "On three-machine flow shop scheduling with deteriorating jobs," International Journal of Production Economics, Elsevier, vol. 125(1), pages 185-189, May.
    6. J-B Wang & J-J Wang & P Ji, 2011. "Scheduling jobs with chain precedence constraints and deteriorating jobs," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(9), pages 1765-1770, September.
    7. Sawik, Tadeusz, 2010. "An integer programming approach to scheduling in a contaminated area," Omega, Elsevier, vol. 38(3-4), pages 179-191, June.
    8. Ma, Ran & Tao, Jiping & Yuan, Jinjiang, 2016. "Online scheduling with linear deteriorating jobs to minimize the total weighted completion time," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 570-583.
    9. Yueyue Liu & Xiaoya Liao & Rui Zhang, 2019. "An Enhanced MOPSO Algorithm for Energy-Efficient Single-Machine Production Scheduling," Sustainability, MDPI, vol. 11(19), pages 1-16, September.
    10. Li, Yongqiang & Li, Gang & Sun, Linyan & Xu, Zhiyong, 2009. "Single machine scheduling of deteriorating jobs to minimize total absolute differences in completion times," International Journal of Production Economics, Elsevier, vol. 118(2), pages 424-429, April.
    11. Sun, Linhui & Sun, Linyan & Cui, Kai & Wang, Ji-Bo, 2010. "A note on flow shop scheduling problems with deteriorating jobs on no-idle dominant machines," European Journal of Operational Research, Elsevier, vol. 200(1), pages 309-311, January.
    12. Cheng, Yushao & Sun, Shijie, 2009. "Scheduling linear deteriorating jobs with rejection on a single machine," European Journal of Operational Research, Elsevier, vol. 194(1), pages 18-27, April.

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