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A suboptimality bound for permutation policies in single machine stochastic scheduling

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  • K. D. Glazebrook

Abstract

A general class of single machine stochastic scheduling problems incorporating precedence constraints is modelled as a family of competing Markov decision processes. A bound on the optimal return yields a suboptimality bound for permutation policies. This in turn leads to a generalised “used better than new” principle as a (highly intuitive) sufficient condition for the optimality of a permutation policy in the class of all (preemptive) policies. © 1995 John Wiley & Sons, Inc.

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  • K. D. Glazebrook, 1995. "A suboptimality bound for permutation policies in single machine stochastic scheduling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(6), pages 993-1005, September.
    • Handle: RePEc:wly:navres:v:42:y:1995:i:6:p:993-1005
    DOI: 10.1002/1520-6750(199509)42:63.0.CO;2-P
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    References listed on IDEAS

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    1. B. P. Banerjee, 1965. "Single Facility Sequencing with Random Execution Times," Operations Research, INFORMS, vol. 13(3), pages 358-364, June.
    2. K. D. Glazebrook & J. C. Gittins, 1981. "On Single-Machine Scheduling with Precedence Relations and Linear or Discounted Costs," Operations Research, INFORMS, vol. 29(1), pages 161-173, February.
    3. K. D. Glazebrook & R. W. Owen, 1995. "Gittins‐index heuristics for research planning," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(7), pages 1041-1062, October.
    4. K. D. Glazebrook, 1981. "On nonpreemptive strategies in stochastic scheduling," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 28(2), pages 289-300, June.
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    Cited by:

    1. Seyed M. R. Iravani & John A. Buzacott & Morton J. M. Posner, 2003. "Operations and Shipment Scheduling of a Batch on a Felxible Machine," Operations Research, INFORMS, vol. 51(4), pages 585-601, August.

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