Bonfring International Journal of Industrial Engineering and Management Science
Online ISSN: 2277-5056 | Print ISSN: 2250-1096 | Frequency: 4 Issues/Year
Impact Factor: 0.541 | International Scientific Indexing(ISI) calculate based on International Citation Report(ICR)
Steady State Analysis of a Bulk Queueing Model with Multiple Vacations, Accessible Batches and Closedown Times
Abstract:
In this paper, a generalized non-Markovian bulk arrival bulk service queueing system is studied considering multiple vacations and closedown times. The service starts only if minimum of 'a' customers are available in the queue. At the service completion epoch, if the number of customers is ξ, where eqn then the server takes the entire queue for batch service and admits the subsequent arrivals for service till the service of the current batch is over, or the accessible limit d is reached, whichever occurs first. At the service initiation epoch, if the number of customers waiting in the queue eqn is at least eqn then the server takes eqn customers for service and does not allow further arrival into the batch. On completion of a service, if the queue length is less than 'a', then the server performs a closedown work such as, shutting down the machine, removing the tools etc. Following closedown work, the server leaves for a vacation of random length irrespective of queue length. When the server returns from a vacation and if the queue length is still less than 'a', he leaves for another vacation and so on until he finds at least 'a' customers waiting for service in the queue.
Keywords: Bulk Queue, Multiple Vacations, Busy Period, Steady State Solution.
Volume: 3 | Issue: 4
Pages: 118-127
Issue Date: December , 2013
DOI: 10.9756/BIJIEMS.8398
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