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

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) sch...

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Bibliographic Details
Published in:Discrete dynamics in nature and society 2022, Vol.2022 (1)
Main Authors: Muthusamy, Sundararaman, Devadoss, Narasimhan, Ammar, Sherif I.
Format: Article
Language:English
Subjects:
Analysis
Communications systems
Customer services
Customers
Epidemics
File servers
Optimization
Queueing
Researchers
Schedules
Vacations
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Summary: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.
ISSN:1026-0226
1607-887X
DOI:10.1155/2022/6806104