Volume 20 No 13 (2022)
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ANALYSIS OF SINGLE SERVER QUEUING SYSTEM WITH BULK ARRIVAL AND REST PERIOD
Shaweta Sharma, Prof. Naveen Kumar
Abstract
This paper deals with a queuing system where the server taken re-orientation time after each service. A single server serves customer one at one time basically first- come, first – servediscipline.A single- server queuing system is basic queuing system where customers willwait in a line to be served by a single server .Server serves one customer one at a time on a first –come, first-serve basis. When the customer gets service from the server they leave the queue and the number of customers in the system is reduced by one. A fast food shop queue is also an example of single server queue, which works on the first come- first serveprinciple, where the second customer is served after the first one is served and during the intervening period between two services there is rest period during which server re-orient itself after each service. Customers line up in this configuration, which simulates a simple single-server queue, and are served according to arrival order. Customers leave the queue after receiving service, which lowers the overall consumer base in the system.Customers arrive in batches of valuable size and served under general bulk service rule and re-orientation time in arbitrary with distribution function D(x). In this paper we have discussed about the steady state probability distribution, the mean queue length, average queue length and other operational characteristics.
Keywords
Queuing System, Single Server, Bulk Arrival, FCFS, Bulk Service
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