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The sojourn-time distribution in the M/G/1 queue by processor sharing

Published online by Cambridge University Press:  14 July 2016

Teunis J. Ott
Teunis J. Ott*
Affiliation:
Bell Communications Research, Inc.
*
∗ Postal address: Room HO, 4L435, Bell Communications Research, Inc., Holmdel, NJ 07733, U.S.A.
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Abstract

This paper gives, in the form of Laplace–Stieltjes transforms and generating functions, the joint distribution of the sojourn time and the number of customers in the system at departure for customers in the general M/G/1 queue with processor sharing (M/G/1/PS).

Explicit formulas are given for a number of conditional and unconditional moments, including the variance of the sojourn time of an ‘arbitrary' customer.

Keywords

WAITING TIMEINFINITE DIVISIBILITY
Type
Research Papers
Information
Journal of Applied Probability , Volume 21 , Issue 2 , June 1984 , pp. 360 - 378
Copyright
Copyright © Applied Probability Trust 1984 

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