Paper Title

A Study of Queuing and Reliability Model for Machine Interference with Bernoulli Vacation Schedule

Authors

  • R. Sivaraman
  • Dr. Sonal Bharti

Keywords

Machine repair, Bernoulli vacation, pressure coefficient, Markov Chain, Matrix-recursive method

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 therepair 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.

Article Type

Published

How To Cite

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

Issue

Volume 5 Issue 4 

Pages. 609-615

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