Book ChapterDOI
Steady-State Analysis of Unreliable Preemptive Priority Retrial Queue with Feedback and Two-Phase Service Under Bernoulli Vacation
S. Yuvarani,M.C. Saravanarajan +1 more
- pp 425-435
TLDR
The supplementary variable technique is used to obtain the steady-state probability generating functions for the system/orbit and some important system performance measures.Abstract:
This article discusses the concepts of preemptive priority retrial queue with two-phase service, feedback, and Bernoulli vacation for an unreliable server, which consists of breakdown period. The queue involves two types of customers, known as priority and ordinary customers. The server provides first essential service and second essential service to the arriving customers or customers from the orbit. The server takes Bernoulli vacation, when an orbit becomes empty. The supplementary variable technique is used to obtain the steady-state probability generating functions for the system/orbit and some important system performance measures.read more
References
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Book
Retrial Queueing Systems: A Computational Approach
TL;DR: This book is intended for an audience ranging from advanced undergraduates to researchers interested in queueing theory, but also in applied probability, stochastic models of the operations research, and engineering.
Journal ArticleDOI
A preemptive priority retrial queue with two classes of customers and general retrial times
TL;DR: This paper considers a continuous-time retrial queue with two classes of customers: priority customers and ordinary customers, where priority customers don’t queue and have an exclusive preemptive priority to receive their services over ordinary customers.
Journal ArticleDOI
Discrete-time Geo1,GeoX2/G1,G2/1 retrial queue with two classes of customers and feedback
Zaiming Liu,Shan Gao +1 more
TL;DR: This paper analyzes a discrete-time single-server retrial queue with two classes of customers, where the blocked class-1 customers left the system forever whereas the blockedclass-2 customers leave the service area and enter the orbit and try their luck again some time later.
Journal ArticleDOI
Steady state analysis of batch arrival feedback retrial queue with two phases of service, negative customers, Bernoulli vacation and server breakdown
TL;DR: In steady state, a batch arrival feedback retrial queue with negative customers has been discussed and the steady state probability generating function for the system size is obtained by using the supplementary variable method.
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