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Single machine scheduling with time deteriorating job values

Author

Listed:
  • S Raut

    (Indian Institute of Technology)

  • J N D Gupta

    (University of Alabama in Huntsville)

  • S Swami

    (Indian Institute of Technology)

Abstract

This paper considers the problem of scheduling n jobs on a single machine where the job value deteriorates with its starting time. The objective of the problem is to maximize the cumulative value of all jobs. The problem is motivated from the real-life applications, such as movie scheduling, remanufacturing of high-technology products, web object transmission, and banner advertising. Unrestricted, truncated, and capacity constrained job value functions are considered. Some special cases of the problem, such as the unrestricted linear job value function, are polynomially solvable. The general problem is shown to be unary NP-hard and is modelled as a time index integer program. For the NP-hard cases, several heuristics are proposed. Results of the empirical evaluation of the relative performance of the proposed heuristics on critical parameters are reported.

Suggested Citation

  • S Raut & J N D Gupta & S Swami, 2008. "Single machine scheduling with time deteriorating job values," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(1), pages 105-118, January.
    • Handle: RePEc:pal:jorsoc:v:59:y:2008:i:1:d:10.1057_palgrave.jors.2602303
    DOI: 10.1057/palgrave.jors.2602303
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    References listed on IDEAS

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    1. Sanjeev Swami & Jehoshua Eliashberg & Charles B. Weinberg, 1999. "SilverScreener: A Modeling Approach to Movie Screens Management," Marketing Science, INFORMS, vol. 18(3), pages 352-372.
    2. Voutsinas, Theodore G. & Pappis, Costas P., 2002. "Scheduling jobs with values exponentially deteriorating over time," International Journal of Production Economics, Elsevier, vol. 79(3), pages 163-169, October.
    3. Fleischmann, Moritz & Bloemhof-Ruwaard, Jacqueline M. & Dekker, Rommert & van der Laan, Erwin & van Nunen, Jo A. E. E. & Van Wassenhove, Luk N., 1997. "Quantitative models for reverse logistics: A review," European Journal of Operational Research, Elsevier, vol. 103(1), pages 1-17, November.
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    Cited by:

    1. Raut, Sumit & Swami, Sanjeev & Gupta, Jatinder N.D., 2008. "Scheduling a capacitated single machine with time deteriorating job values," International Journal of Production Economics, Elsevier, vol. 114(2), pages 769-780, August.

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