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Approximating nonstationary ph(t)⧸ph(t)⧸1⧸c queueing systems

✍ Scribed by Kim L. Ong; Michael R. Taaffe

Publisher: Elsevier Science
Year: 1988
Tongue: English
Weight: 828 KB
Volume: 30
Category: Article
ISSN: 0378-4754
DOI: 10.1016/0378-4754(88)90057-2

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✦ Synopsis

A state space partitioning and surrogate distribution approximation @DA) approach for analyzing the time-dependent behavior of queueing systems is described for finite-capacity, single server queueing systems with time-dependent phase arrival and service processes. degardless of the system capacity, c, the approximation requires the numerical solution of only k, + 3k, k, differential equations, where k, is the number of phases in the arrival process and k, is the number of phases in the service process, compared to the k, + ck,k2

Kolmogorov-forward equations required for the classic method of solution. Time-dependent approximations of mean and standard deviation of the number of entities in the system are obtained. Empirical test results over a wide range of systems indicate that the approximation is extremely accurate.

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