Asymptotic Analysis of Retrial Queueing Systems
A. A. Nazarov, I. A. Semenova
Tomsk State University
anazarov@fpmk.tsu.ru, inna_ac@mail.ru
Keywords: RQ system, asymptotic analysis, retrial queue
Pages: 104-113
Abstract
This paper considers retrial queueing (RQ) systems with Poisson (elementary) and Markovmodulated Poisson processes. The study is performed by the method of asymptotic cumulants using the theory of vector characteristic functions and the matrix form of equations, which makes it possible to obtain asymptotic results for the whole class of models. The analysis of a single-line RQ system performed revealed the range of applicability of asymptotic results for prelimit situations.
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