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European Workshop on Performance Engineering

EPEW 2015: Computer Performance Engineering pp 80–95Cite as

Moment-Generating Algorithm for Response Time in Processor Sharing Queueing Systems

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Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 9272))

Abstract

Response times are arguably the most representative and important metric for measuring the performance of modern computer systems. Further, service level agreements (SLAs), ranging from data centres to smartphone users, demand quick and, equally important, predictable response times. Hence, it is necessary to calculate moments, at least, and ideally response time distributions, which is not straightforward. A new moment-generating algorithm for calculating response times analytically is obtained, based on M/M/1 processor sharing (PS) queueing models. This algorithm is compared against existing work on response times in M/M/1-PS queues and extended to M/M/1 discriminatory PS queues. Two real-world case studies are evaluated.

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Authors and Affiliations

  1. Department of Computing, Imperial College London, SW7 2AZ, London, UK

    Tiberiu Chis & Peter Harrison

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  1. Tiberiu Chis
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  2. Peter Harrison
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Correspondence to Tiberiu Chis .

Editor information

Editors and Affiliations

  1. Universidad Rey Juan Carlos, Mostoles (Madrid), Spain

    Marta Beltrán

  2. Imperial College London, London, United Kingdom

    William Knottenbelt

  3. Imperial College London, London, United Kingdom

    Jeremy Bradley

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Chis, T., Harrison, P. (2015). Moment-Generating Algorithm for Response Time in Processor Sharing Queueing Systems. In: Beltrán, M., Knottenbelt, W., Bradley, J. (eds) Computer Performance Engineering. EPEW 2015. Lecture Notes in Computer Science(), vol 9272. Springer, Cham. https://doi.org/10.1007/978-3-319-23267-6_6

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  • DOI: https://doi.org/10.1007/978-3-319-23267-6_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-23266-9

  • Online ISBN: 978-3-319-23267-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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