Spectral expansion method for analysis of a system with shifted Erlang and hyper-Erlang distributions

In this paper, we obtained a spectral expansion of the solution to the Lindley integral equation for a queuing system with a shifted Erlang input flow of customers and a hyper-Erlang distribution of the service time. On its basis, a calculation formula is derived for the average waiting time in the...

Full description

Bibliographic Details
Main Authors: Veniamin N. Tarasov, Nadezhda F. Bakhareva
Format: Article
Language:English
Published: Povolzhskiy State University of Telecommunications & Informatics 2021-09-01
Series:Физика волновых процессов и радиотехнические системы
Subjects:
Online Access:https://journals.ssau.ru/pwp/article/viewFile/9357/8493