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Round robin scheduling of heterogeneous parallel servers in heavy traffic

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  • Wu, Rong
  • Down, Douglas G.

Abstract

We consider scheduling for heterogeneous server systems, where tasks arrive according to a Poisson process, with their processing requirements following a discrete distribution with finite support. For a system with a dispatcher and several heterogeneous servers, we propose an optimized multi-layered round robin routing policy followed by shortest remaining processing time scheduling at each server. Using a heavy traffic approximation, we show that the proposed policy performs as well as the optimal scheduling policy for a heterogeneous servers system with a single queue (no routing) in heavy traffic. Additional simulation results suggest that such policies will be effective in more general settings.

Suggested Citation

  • Wu, Rong & Down, Douglas G., 2009. "Round robin scheduling of heterogeneous parallel servers in heavy traffic," European Journal of Operational Research, Elsevier, vol. 195(2), pages 372-380, June.
    • Handle: RePEc:eee:ejores:v:195:y:2009:i:2:p:372-380
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    References listed on IDEAS

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    1. 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. Hyytiä, Esa & Penttinen, Aleksi & Aalto, Samuli, 2012. "Size- and state-aware dispatching problem with queue-specific job sizes," European Journal of Operational Research, Elsevier, vol. 217(2), pages 357-370.
    2. Cao, Ping & Zhong, Zhiheng & Huang, Junfei, 2021. "Dynamic routing in a distributed parallel many-server service system: The effect of ξ-choice," European Journal of Operational Research, Elsevier, vol. 294(1), pages 219-235.
    3. Zhong, Zhiheng & Cao, Ping, 2023. "Balanced routing with partial information in a distributed parallel many-server queueing system," European Journal of Operational Research, Elsevier, vol. 304(2), pages 618-633.

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