Abstract
An analytic approach to the diffusion approximation in queueing due to Burman (1979) is applied to the M(t)/G/1/∞ queueing system with periodic Poisson arrivals. We show that under heavy traffic the virtual waiting time process can be approximated by a certain Wiener process with reflecting barrier at 0.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Statistics and Probability
Reference2 articles.
1. Markov Processes
2. Burman D. Y. (1979) An Analytic Approach to Diffusion Approximation in Queueing. Ph.D. thesis, Department of Applied Mathematics, Courant Instutute of Mathematics, New York University.
Cited by
11 articles.
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