Comparison of Two Operation Modes of Finite-Source Retrial Queueing Systems with Collisions and a Non-Reliable Server by Using Simulation


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

Abstract

In this paper a finite-source retrial queuing system with collision of the customers is investigated by means of computer simulation. The server is not reliable; it is subjected to breakdowns, and the repairs depend on whether the state of the server is idle. The random variables used in the model are jointly independent and are exponential and gamma distributed. Two operation modes are considered in the case of busy breakdown. The novelty of the investigation is a comparison of the performance measures of these modes, and estimations obtained by the simulation are graphically illustrated showing the influence of the difference of the working modes on the performance measures such as mean and variance of the response time, mean and variance of the number of customers in the system, mean and variance of the sojourn time in the orbit, mean and variance of time time a customer spent in service.

About the authors

Á. Tóth

University of Debrecen

Author for correspondence.
Email: adamtoth102@gmail.com
Hungary, Debrecen

T. Bérczes

University of Debrecen

Email: adamtoth102@gmail.com
Hungary, Debrecen

J. Sztrik

University of Debrecen

Email: adamtoth102@gmail.com
Hungary, Debrecen

A. Kuki

University of Debrecen

Email: adamtoth102@gmail.com
Hungary, Debrecen

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2019 Springer Science+Business Media, LLC, part of Springer Nature