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Achievable Performance of Blind Policies in Heavy Traffic

Author

Listed:
  • Nikhil Bansal

    (Centrum Wiskunde and Informatica, 1090 GB Amsterdam, Netherlands; and Technische Universiteit Eindhoven, 5600 MB Eindhoven, Netherlands)

  • Bart Kamphorst

    (Centrum Wiskunde and Informatica, 1090 GB Amsterdam, Netherlands)

  • Bert Zwart

    (Centrum Wiskunde and Informatica, 1090 GB Amsterdam, Netherlands)

Abstract

For a GI/GI/1 queue, we show that the average sojourn time under the (blind) Randomized Multilevel Feedback algorithm is no worse than that under the Shortest Remaining Processing Time algorithm times a logarithmic function of the system load. Moreover, it is verified that this bound is tight in heavy traffic, up to a constant multiplicative factor. We obtain this result by combining techniques from two disparate areas: competitive analysis and applied probability.

Suggested Citation

  • Nikhil Bansal & Bart Kamphorst & Bert Zwart, 2018. "Achievable Performance of Blind Policies in Heavy Traffic," Mathematics of Operations Research, INFORMS, vol. 43(3), pages 949-964, August.
    • Handle: RePEc:inm:ormoor:v:43:y:2018:i:3:p:949-964
    DOI: 10.1287/moor.2017.0890
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    References listed on IDEAS

    as
    1. Misja Nuyens & Adam Wierman & Bert Zwart, 2008. "Preventing Large Sojourn Times Using SMART Scheduling," Operations Research, INFORMS, vol. 56(1), pages 88-101, February.
    2. Adam Wierman & Bert Zwart, 2012. "Is Tail-Optimal Scheduling Possible?," Operations Research, INFORMS, vol. 60(5), pages 1249-1257, October.
    3. Linus Schrage, 1968. "Letter to the Editor—A Proof of the Optimality of the Shortest Remaining Processing Time Discipline," Operations Research, INFORMS, vol. 16(3), pages 687-690, June.
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    Cited by:

    1. Jin Xu & Natarajan Gautam, 2020. "On competitive analysis for polling systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 67(6), pages 404-419, September.

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