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The Analysis of DAR(1)/D/c Queueing System

By Bong Dae Choi, Bara Kim and Gang Uk Hwang


this paper, we consider the same multiserver ATM multiplexer as in [4], but with VBR-coded teleconference traffic input. Here we model the multiplexer as a discrete time multiserver queue with a DAR(1) input. We construct a Markov process at embedded epochs whose matrix of one-step transition probabilities is M/G/1 type, and calculate the stationary distribution of the constructed Markov process by the matrix analytic method. From the stationary distribution of this Markov process, we calculate the stationary distributions of the system size and the waiting time. Numerical examples illustrate that the distributions for the system size and the waiting time increase stochastically when either the decay rate of the autocorrelation function of input traffics or the variance of a batch arriving in a slot increase

Topics: method, Markov regenerative theory
Year: 2007
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