Analysis of Queuing Model for Machine Repairing System with Bernoulli Vacation Schedule
Journal Title: INTERNATIONAL JOURNAL OF MATHEMATICS TRENDS AND TECHNOLOGY - Year 2014, Vol 10, Issue 2
Abstract
In this paper, we consider a queueing model for machine repairing system with Bernoulli vacation schedule. The failure times, repair times and vacation times are all assumed to be exponentially distributed. In congestion, the server may increase the repair rate with pressure coefficient to reduce the queue length. We assume that the server begins the working vacation when the system is empty. The server may go for a vacation of random length with probability p or may continue to repair the next (if available) failed machine with probability q = 1 p. The whole system is modelled as a finite state Markov Chain and its steady state distribution is obtained by matrix recursive approach.
Authors and Affiliations
R. K. Shrivastava , Awadhesh Kumar Mishra
Keywords
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