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Optimality of index policies for stochastic scheduling with switching penalties

  • Mark P. Van Oyen (a1), Dimitrios G. Pandelis (a1) and Demosthenis Teneketzis (a1)

Abstract

We investigate the impact of switching penalties on the nature of optimal scheduling policies for systems of parallel queues without arrivals. We study two types of switching penalties incurred when switching between queues: lump sum costs and time delays. Under the assumption that the service periods of jobs in a given queue possess the same distribution, we derive an index rule that defines an optimal policy. For switching penalties that depend on the particular nodes involved in a switch, we show that although an index rule is not optimal in general, there is an exhaustive service policy that is optimal.

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Postal address for all authors: Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI 48109–2122, USA.

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The work of Mark Van Oyen was supported by a University of Michigan Regents Fellowship.

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References

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Optimality of index policies for stochastic scheduling with switching penalties

  • Mark P. Van Oyen (a1), Dimitrios G. Pandelis (a1) and Demosthenis Teneketzis (a1)

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