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1 results

  • On permutation policies for the scheduling of deteriorating stochastic jobs on a single machine

  • Part of
  • K. D. Glazebrook
  • Journal:
    Journal of Applied Probability / Volume 30 / Issue 1 / March 1993
    Published online by Cambridge University Press:
    14 July 2016, pp. 184-193
    Print publication:
    March 1993

  • A single machine is available to process a collection of stochastic jobs. Processing is preemptive and so (for example) the machine is allowed to switch away from a job before completion, should that prove advantageous. The jobs are deteriorating in the sense that their processing requirements grow (at job-specific rates) as they await processing. This phenomenon might be expected to enhance the status of non-preemptive policies. The primary objective of the paper is to find conditions which are sufficient to ensure the existence of a permutation policy to minimise the expected makespan. We also derive results for a weighted flowtime criterion. Applications of such models to the control of queues and to communication systems have been cited by other authors.