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An Analysis of the M / G /1 Queue Under Round-Robin Scheduling

Author

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  • M. Sakata

    (Tohoku University, Sendai, Japan)

  • S. Noguchi

    (Tohoku University, Sendai, Japan)

  • J. Oizumi

    (Tohoku University, Sendai, Japan)

Abstract

In order to discuss scheduling algorithms for time-sharing computer systems, this paper analyzes the M / G /1 queue under the well known round-robin (RR) discipline. Three models are considered: the constant-quantum RR model, the processor-shared (or zero-quantum RR) model, and the variable-quantum RR model. The paper proposes an effective calculating method for obtaining the expected response time under an arbitrary processing-time distribution with overhead. By the theoretical analysis, one can show how the response time is affected by the scheduling and processing-time distributions, as is demonstrated by some typical examples.

Suggested Citation

  • M. Sakata & S. Noguchi & J. Oizumi, 1971. "An Analysis of the M / G /1 Queue Under Round-Robin Scheduling," Operations Research, INFORMS, vol. 19(2), pages 371-385, April.
    • Handle: RePEc:inm:oropre:v:19:y:1971:i:2:p:371-385
    DOI: 10.1287/opre.19.2.371
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    Cited by:

    1. Yong Tan & Kamran Moinzadeh & Vijay S. Mookerjee, 2005. "Optimal Processing Policies for an e-Commerce Web Server," INFORMS Journal on Computing, INFORMS, vol. 17(1), pages 99-110, February.

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