On the number of customers served in the M/G/1 retrial queue: First moments and maximum entropy approach

On the number of customers served in the M/G/1 retrial queue: First moments and maximum entropy approach

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Article ID: iaor2003402
Country: United Kingdom
Volume: 29
Issue: 12
Start Page Number: 1739
End Page Number: 1757
Publication Date: Oct 2002
Journal: Computers and Operations Research
Authors:
Keywords: M/G/1 queues
Abstract:

In this paper we present general results on the number of customers, I, served during the busy period in an M/G/1 retrial system. Its analysis in terms of Laplace transforms has been previously discussed in the literature. However, this solution presents important limitations in practice; in particular, the moments of I cannot be obtained by direct differentiation. We propose a direct method of computation for the second moment of I and also for the probability of k,k ≤ 4, customers being served in a busy period. Then, the maximum entropy principle approach is used to estimate the true distribution of I according to the available information.

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