Reliability and Optimization Measures of Retrial Queue with Different Classes of Customers under a Working Vacation Schedule-Reference-Cited by-同舟云学术

Reliability and Optimization Measures of Retrial Queue with Different Classes of Customers under a Working Vacation Schedule

Published:2022-10-28 Issue: Volume:2022 Page:1-17
ISSN:1607-887X
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Muthusamy Sundararaman¹^ORCID,Devadoss Narasimhan¹^ORCID,Ammar Sherif I.²^ORCID

Affiliation:

1. Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA Deemed University, Kumbakonam, Tamil Nadu, India

2. Department of Mathematics, Menoufia University, Shebin El Koum 32511, Egypt

Abstract

A working vacation queueing model is described in this work, with three different classes of customers: regular, priority, and disaster. The regular server serves all arriving customers, whereas the optional reservice is only provided to those who request it. The Bernoulli working vacation (BWV) schedule is considered. In WV time, the server serves at a slower rate. The generating functions (GF) technique is used to determine the system capacity of various server states. Different system performances, reliability indices, and cost optimization values are numerically shown. For the current COVID-19 pandemic situation, the motivation for this approach is presented in a telephonic communication system.

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2022/6806104.pdf

Reference31 articles.

1. Retrial Queueing Systems

2. Accessible bibliography on retrial queues: Progress in 2000–2009

3. A preemptive priority retrial queue with two classes of customers and general retrial times

4. A single-server retrial G-queue with priority and unreliable server under Bernoulli vacation schedule

5. A study on M/G/1 preemptive priority retrial queue with Bernoulli working vacations and vacation interruption

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