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Work-conserving disciplines are asymptotic optimal in completion time minimization

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  • Wenxin Li
  • Ness Shroff

Abstract

We prove that in a stable multi-server system, where different machines are allowed to have different speeds, all work-conserving disciplines are asymptotic optimal for minimizing total completion time, if job size and interarrival time distributions have finite moments. As a byproduct of our analysis, we obtain a tight upper bound on the competitive ratios of work-conserving disciplines on minimizing the metric of flow time.

Suggested Citation

  • Wenxin Li & Ness Shroff, 2023. "Work-conserving disciplines are asymptotic optimal in completion time minimization," IISE Transactions, Taylor & Francis Journals, vol. 55(6), pages 616-628, June.
    • Handle: RePEc:taf:uiiexx:v:55:y:2023:i:6:p:616-628
    DOI: 10.1080/24725854.2022.2081744
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