PROBABILISTIC ANALYSIS OF A SYSTEM WITH SERVER FAILURE DURING REPAIR

  • S.C. Malik Department of Statistics, M.D. University, Rohtak, Haryana (India)
  • Anil Kumar Department of Statistics, M.D. University, Rohtak, Haryana (India)
Keywords: Server Failure, Reliability Models, Treatment, Inspection and Probabilistic Analysis

Abstract

This paper considers two reliability models developed for a single-unit system where the repair facility (server) is subject to failure during repair. There is a single server who attends the system immediately whenever needed. In model I, the server undergoes for treatment upon failure while in model II, the inspection of the server is done at its failure to know the feasibility of treatment. If treatment of the server is not feasible, it is replaced by another server. The system is discussed probabilistically in detail and the expressions for various reliability quantities are derived adopting semi-Markov process and regenerative point technique. The failure time of the unit and server are distributed exponentially while the distributions of repair time of the unit, treatment and inspection of the server are taken as arbitrary. The results for a particular case are drawn to depict the behavior of some measures of system effectiveness graphically.

 

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Published
2010-08-31
Section
Articles