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Published in:
2020 | OriginalPaper | Chapter
A Retrial Queueing System in Which Server Searches to Accumulate Customers for Optimal Bulk Serving
Authors : Varghese C. Joshua, Ambily P. Mathew, Achyutha Krishnamoorthy
Published in: Distributed Computer and Communication Networks
Publisher: Springer International Publishing
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Abstract
In this paper, we introduce the concept of orbital search as a means for accumulating customers in a bulk service retrial queueing system. In this model, customers enter the service facility from a finite buffer. If the buffer is full at the time of arrival of a customer, it enters an orbit from where retrials for entering the buffer has been made. Here search is done as a means for accumulating customers in the buffer so that optimum level of bulk service can be provided. A service policy considered here is (a, b) bulk service policy with search. Under this policy, search will be initiated when the number of customers in the buffer reaches a and it has been continued until either the search has been done for a random duration of time or the number of customers in the buffer increases to b where \(a<b\). Steady state analysis of the model has been done and some important measures of performance has been evaluated. We analyze the model numerically as well as graphically.