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M/G/1/MLPS compared with M/G/1/PS within service time distribution class IMRL

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  • Samuli Aalto

Abstract

Multilevel processor-sharing (MLPS) disciplines were originally introduced by Kleinrock (in computer applications 1976) but they were forgotten for years. However, due to an application related to the service differentiation between short and long TCP flows in the Internet, they have recently gained new interest. In this paper we show that, if the service time distribution belongs to class IMRL, the mean delay in the M/G/1 queue is reduced when replacing the PS discipline with any MLPS discipline for which the internal disciplines belong to {FB, PS}. This is a generalization of our earlier result where we restricted ourselves to the service time distribution class DHR, which is a subset of class IMRL. Copyright Springer-Verlag 2006

Suggested Citation

  • Samuli Aalto, 2006. "M/G/1/MLPS compared with M/G/1/PS within service time distribution class IMRL," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 64(2), pages 309-325, October.
    • Handle: RePEc:spr:mathme:v:64:y:2006:i:2:p:309-325
    DOI: 10.1007/s00186-006-0080-6
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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. Samuli Aalto & Urtzi Ayesta, 2008. "Recent sojourn time results for multilevel processor‐sharing scheduling disciplines," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 62(3), pages 266-282, August.

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    Keywords

    M/G/1; Scheduling; MLPS; PS; IMRL;
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