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Scheduling Jobs Subject to Nonhomogeneous Poisson Shocks

Author

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  • Michael L. Pinedo

    (Instituto Venezolano de Investigaciones Cientificas, Caracaus)

  • Sheldon M. Ross

    (University of California, Berkeley)

Abstract

Consider n tasks which must be attempted in some order. To successfully complete any given task requires a random amount of time. However, we suppose that there are external events, called shocks, which occur according to a nonhomogeneous Poisson process. If no shocks occur while a task is being performed, then that task is considered a success. If a shock does occur, then work on that task ends and work on the next one begins. We consider such problems as maximizing (1) The expected number of successful tasks; (2) The length of time until no tasks remain; (3) The expected total reward earned; where a reward R 1 is obtained upon successful completion of task i.

Suggested Citation

  • Michael L. Pinedo & Sheldon M. Ross, 1980. "Scheduling Jobs Subject to Nonhomogeneous Poisson Shocks," Management Science, INFORMS, vol. 26(12), pages 1250-1257, December.
    • Handle: RePEc:inm:ormnsc:v:26:y:1980:i:12:p:1250-1257
    DOI: 10.1287/mnsc.26.12.1250
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    Citations

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    Cited by:

    1. K. D. Glazebrook, 1992. "Single‐machine scheduling of stochastic jobs subject to deterioration or delay," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(5), pages 613-633, August.
    2. Xiaoqiang Cai & Sean Zhou, 1999. "Stochastic Scheduling on Parallel Machines Subject to Random Breakdowns to Minimize Expected Costs for Earliness and Tardy Jobs," Operations Research, INFORMS, vol. 47(3), pages 422-437, June.
    3. Sam Ransbotham & Ishwar Murthy & Sabyasachi Mitra & Sridhar Narasimhan, 2011. "Sequential Grid Computing: Models and Computational Experiments," INFORMS Journal on Computing, INFORMS, vol. 23(2), pages 174-188, May.
    4. J. Birge & J. B. G. Frenk & J. Mittenthal & A. H. G. Rinnooy Kan, 1990. "Single‐machine scheduling subject to stochastic breakdowns," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(5), pages 661-677, October.
    5. Masaaki Kijima & Toshio Nakagawa, 1991. "A cumulative damage shock model with imperfect preventive maintenance," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(2), pages 145-156, April.

    More about this item

    Keywords

    reliability: shock models; optimal design;

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