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Recent sojourn time results for multilevel processor‐sharing scheduling disciplines

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  • Samuli Aalto
  • Urtzi Ayesta

Abstract

Multilevel Processor‐Sharing (MLPS) disciplines refer to a family of age‐based scheduling disciplines introduced decades ago. A time‐discretized version of an MLPS discipline is applied in the scheduler of the traditional UNIX operating system. In recent years, MLPS disciplines have been used to study the way that packet level scheduling mechanisms impact the performance perceived at the flow level in the Internet. Inspired by this latter application, many new sojourn time results have been discovered for these disciplines in the context of the M/G/1 queue. The aim of this paper was to give a consistent overview of these new results. In addition, it points out some intriguing open problems for further research.

Suggested Citation

  • 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.
    • Handle: RePEc:bla:stanee:v:62:y:2008:i:3:p:266-282
    DOI: 10.1111/j.1467-9574.2008.00393.x
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    References listed on IDEAS

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    1. 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.
    2. 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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