Analysis of Priority Queueing System with Working Breakdown,Vacation and Vacation Interruption under Random Environment

B Somasundaram, S Karpagam, K Sathish Kumar, R. Kala


study priority queueing system consisting of working breakdown, repair, single vacation and vacation interruption. At a breakdown instant during the busy period, without stop the servie, the server provides service at slower rate for the current customer. After completion of priority service, depending on the environment, the server can choose type I or type II vacation. Both types of vacation are considered as a single vacation. On completion of type I vacation if the server finds thepriority queue is empty, he has the option to take type II vacation. During the type II vacation, when priority customers arrive the server has the option to interrupt the vacation. We use the established norm which is the corresponding steady state results for time dependent probability generating functions are obtained. Along with that, the expected waiting time for theexpected number of customers for both high and low priority queues are computed. Numerical results along with the graphical representations are shown elaborately.


Batch arrival; Priority queue; Working breakdown; Random environment; Vacation interruption

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Copyright (c) 2023 B Somasundaram, S Karpagam, K Sathish Kumar, R. Kala

ISSN 2233 -1859

Digital Object Identifier DOI: 10.21533/scjournal

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License