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Paper Details
Paper Title
A Study of Queuing and Reliability Model for Machine Interference with Bernoulli Vacation Schedule
Authors
R. Sivaraman, Dr. Sonal Bharti
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 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.
Keywords- Machine repair, Bernoulli vacation, pressure coefficient, Markov Chain, Matrix-recursive method
Publication Details
Unique Identification Number - IJEDR1704097Page Number(s) - 609-615Pubished in - Volume 5 | Issue 4 | November 2017DOI (Digital Object Identifier) - Publisher - IJEDR (ISSN - 2321-9939)
Cite this Article
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 (IJEDR), ISSN:2321-9939, Volume.5, Issue 4, pp.609-615, November 2017, Available at :http://www.ijedr.org/papers/IJEDR1704097.pdf
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