Finite Buffer GI/M(n)/1 Queue with Bernoulli-Schedule Vacation Interruption under N-Policy

We study a finite buffer N-policy GI/M(n)/1 queue with Bernoulli-schedule vacation interruption. The server works with a slower rate during vacation period. At a service completion epoch during working vacation, if there are at least N customers present in the queue, the server interrupts vacation a...

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Bibliographic Details
Published in:International scholarly research notices 2014, Vol.2014, p.392317-392317
Main Authors: Vijaya Laxmi, P, Suchitra, V
Format: Article
Language:English
Subjects:
Analysis
Buffering (Computers)
Online Access:Get full text
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Summary:We study a finite buffer N-policy GI/M(n)/1 queue with Bernoulli-schedule vacation interruption. The server works with a slower rate during vacation period. At a service completion epoch during working vacation, if there are at least N customers present in the queue, the server interrupts vacation and otherwise continues the vacation. Using the supplementary variable technique and recursive method, we obtain the steady state system length distributions at prearrival and arbitrary epochs. Some special cases of the model, various performance measures, and cost analysis are discussed. Finally, parameter effect on the performance measures of the model is presented through numerical computations.
ISSN:2356-7872
2356-7872
DOI:10.1155/2014/392317