A Study of Queuing and Reliability Model for Machine Interference with Bernoulli Vacation Schedule
- R. Sivaraman
- Dr. Sonal Bharti
Machine repair, Bernoulli vacation, pressure coefficient, Markov Chain, Matrix-recursive method
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 to reduce the queue length. We assume that the server begins the working vacation when therepair rate with pressure coefficient 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.
R. Sivaraman, Dr. Sonal Bharti. "A Study of Queuing and Reliability Model for Machine Interference with Bernoulli Vacation Schedule".INTERNATIONAL JOURNAL OF ENGINEERING DEVELOPMENT AND RESEARCH ISSN:2321-9939, Vol.5, Issue 4, pp.609-615, URL :https://rjwave.org/ijedr/papers/IJEDR1704097.pdf
Volume 5 Issue 4
Pages. 609-615