Analysis of a system with exponential and hyper-Erlang distributions by the method of spectral decomposition of the solution the Lindley integral equation

In this work, we obtain the spectral decomposition of the solution of the Lindley integral equation for a queuing system with a Poisson input flow of requirements and a hyper-Erlang distribution of the service time. Based on it, a calculation formula is derived for the average queue waiting time for...

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Bibliographic Details
Main Authors: V.N. Tarasov, N.F. Bahareva, O. Kada
Format: Article
Language:English
Published: Povolzhskiy State University of Telecommunications & Informatics 2019-03-01
Series:Физика волновых процессов и радиотехнические системы
Subjects:
Online Access:https://journals.ssau.ru/pwp/article/viewFile/7496/7349