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Scheduling stochastic jobs on a single machine subject to breakdowns

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  • K. D. Glazebrook

Abstract

A single machine is available to process a collection of stochastic jobs. There may be technological constraints on the job set. The machine sometimes breaks down. Costs are incurred and rewards are earned during processing. We seek strategies for processing the jobs which maximize the total expected reward earned.

Suggested Citation

  • K. D. Glazebrook, 1984. "Scheduling stochastic jobs on a single machine subject to breakdowns," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 31(2), pages 251-264, June.
    • Handle: RePEc:wly:navlog:v:31:y:1984:i:2:p:251-264
    DOI: 10.1002/nav.3800310207
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    Cited by:

    1. Yarlin Kuo & Zi‐Ann Chang, 2007. "Integrated production scheduling and preventive maintenance planning for a single machine under a cumulative damage failure process," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(6), pages 602-614, September.
    2. Kevin D. Glazebrook, 1987. "Evaluating the effects of machine breakdowns in stochastic scheduling problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(3), pages 319-335, June.
    3. Zhenpeng Li & Congdian Cheng, 2023. "The Expected Competitive Ratio on a Kind of Stochastic-Online Flowtime Scheduling with Machine Subject to an Uncertain Breakdown," Mathematics, MDPI, vol. 11(11), pages 1-12, May.
    4. S. E. Pilnick & K. D. Glazebrook & D. P. Gaver, 1991. "Optimal sequential replenishment of ships during combat," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(5), pages 637-668, October.
    5. Sid Browne & Kevin D. Glazebrook, 1996. "Scheduling jobs that are subject to failure propagation," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(2), pages 265-288, March.
    6. 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.
    7. 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.

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