Abstract
In this paper simple approximations are derived for the second moment of the conditional and unconditional sojourn time in the M/G/1 processor sharing queue. The approximations are mainly based on general asymptotic results (e.g. heavy traffic) and on simple exact expressions for specific service time distributions. They depend on the service time distribution only through its first and second moment. Numerous numerical examples show that these simple approximations are accurate enough for many practical purposes. A refinement of the approximations is obtained by taking the third moment of the service time into account.
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© 1989 Springer-Verlag Berlin Heidelberg
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van den Berg, J.L. (1989). Simple Approximations for Second Moment Characteristics of the Sojourn Time in the M/G/1 Processor Sharing Queue. In: Stiege, G., Lie, J.S. (eds) Messung, Modellierung und Bewertung von Rechensystemen und Netzen. Informatik-Fachberichte, vol 218. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75079-3_9
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DOI: https://doi.org/10.1007/978-3-642-75079-3_9
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