Numerical solutions of the waiting time distribution and idle time distribution of the arithmetic GI/G/1 queue

Numerical solutions of the waiting time distribution and idle time distribution of the arithmetic GI/G/1 queue

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Article ID: iaor1988794
Country: United States
Volume: 37
Issue: 1
Start Page Number: 141
End Page Number: 150
Publication Date: Jan 1989
Journal: Operations Research
Authors: ,
Abstract:

In this paper, the authors present an efficient numerical method for calculating the waiting time and idle time distributions of the arithmetic GI/G/1 queue. The present method is based on the Wiener-Hopf factorization, which is briefly reviewed. Compared to the related methods suggested in the literature, the method seems to perform very well, and it is often faster by several orders of magnitude. A number of numerical examples conclude the paper.

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