Document Type : Primary Research paper
Research scholar Department of Mathematics, PSG College of Technology, Coimbatore Tamil Nadu, India – 641004.
Professor Department of Mathematics, PSG College of Technology, Coimbatore Tamil Nadu, India – 641004.
In this paper, / /1 X M G queueing system with priority queue, non-priority queue
and multiple vacations is considered. The server provides service one by one to the
arriving customers in the priority queue which has finite capacity ‘N’ and the non-priority
customers which has infinite capacity. On service completion epoch of priority or nonpriority
customers, the server checks the priority queue and continues service if customers
are available in priority queue. Otherwise, it checks the non-priority queue and if
customers are available, then it provides service for the customers in non-priority queue. If
both the queues are empty, the server goes for multiple vacations until customers arrive to
any of the two queues.Since the analytical results are tedious to obtain performance
measures, the proposed model is analyzed using simulation software Flexsim 2017 and
various metrics are obtained. Numerical illustration is also provided to validate the results.