Abstract
A relation between the distributions of the workload of an arbitrary server and the waiting time is obtained for a GI/G/s queue in steady state. An expression for the total workload of the system (total unprocessed work) is also found. Several well-known results emerge as special cases. Various useful relations, for instance bounds and approximations for the mean waiting time, are also given.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Statistics and Probability
Cited by
3 articles.
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1. Simple and Explicit Bounds for Multiserver Queues with 11−ρ Scaling;Mathematics of Operations Research;2024-04-02
2. The G/G/s Queue;Wiley Encyclopedia of Operations Research and Management Science;2011-02-15
3. The M/G/c queue in light traffic;Queueing Systems;1998