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Scheduling jobs in a contaminated area: a model and heuristic algorithms

Author

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  • A Janiak

    (Wroclaw University of Technology)

  • M Y Kovalyov

    (Belarus State University
    National Academy of Sciences of Belarus)

Abstract

Scheduling problems studied in this paper arise when some tasks have to be executed by human resources in an area contaminated with radio-active or chemical materials. The specificity of the problems is that each work period should be accompanied by a rest period whose length depends on the start time of the corresponding work period. The dependency functions are exponentially decreasing ones. The problems with a single worker and criteria of minimizing maximum lateness or total weighted completion time are proved to be NP-hard. Heuristic algorithms for their solving are developed and computational experiments are provided.

Suggested Citation

  • A Janiak & M Y Kovalyov, 2008. "Scheduling jobs in a contaminated area: a model and heuristic algorithms," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(7), pages 977-987, July.
  • Handle: RePEc:pal:jorsoc:v:59:y:2008:i:7:d:10.1057_palgrave.jors.2602406
    DOI: 10.1057/palgrave.jors.2602406
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    References listed on IDEAS

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    1. Kunnathur, Anand S. & Gupta, Sushil K., 1990. "Minimizing the makespan with late start penalties added to processing times in a single facility scheduling problem," European Journal of Operational Research, Elsevier, vol. 47(1), pages 56-64, July.
    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. Janiak, Adam & Kovalyov, Mikhail Y., 2006. "Scheduling in a contaminated area: A model and polynomial algorithms," European Journal of Operational Research, Elsevier, vol. 173(1), pages 125-132, August.
    4. Gentzler, GL & Khalil, TM & Sivazlian, BD, 1977. "Quantitative models for optimal rest period scheduling," Omega, Elsevier, vol. 5(2), pages 215-220.
    5. Nawaz, Muhammad & Enscore Jr, E Emory & Ham, Inyong, 1983. "A heuristic algorithm for the m-machine, n-job flow-shop sequencing problem," Omega, Elsevier, vol. 11(1), pages 91-95.
    6. Sid Browne & Uri Yechiali, 1990. "Scheduling Deteriorating Jobs on a Single Processor," Operations Research, INFORMS, vol. 38(3), pages 495-498, June.
    7. Stephen E. Bechtold & Ralph E. Janaro & De Witt L. Sumners, 1984. "Maximization of Labor Productivity Through Optimal Rest-Break Schedules," Management Science, INFORMS, vol. 30(12), pages 1442-1458, December.
    8. Stephen E. Bechtold & DeWitt L. Sumners, 1988. "Note---Optimal Work-Rest Scheduling with Exponential Work-Rate Decay," Management Science, INFORMS, vol. 34(4), pages 547-552, April.
    9. Stephen E. Bechtold & Gary M. Thompson, 1993. "Optimal Scheduling of a Flexible-Duration Rest Period for a Work Group," Operations Research, INFORMS, vol. 41(6), pages 1046-1054, December.
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    Cited by:

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    4. Falasca, Mauro & Zobel, Christopher, 2012. "An optimization model for volunteer assignments in humanitarian organizations," Socio-Economic Planning Sciences, Elsevier, vol. 46(4), pages 250-260.

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