Probabilistic Modeling and Performance Analysis of A 2(K)-Out-Of-3(N) System with Inspection Subject To Operational Restriction
Journal Title: International Journal of Modern Engineering Research (IJMER) - Year 2014, Vol 4, Issue 1
Abstract
In repairable redundant the failed units can either be repaired or replaced by identical standby to reduce the system down time. The failed units are inspected for repair/replacement. In this paper, one stochastic model for 2(k)-out-of-3(n) redundant system of identical units with repair and inspection are examined stochastically. The system is considered in up-state only if 2(k)-out-of-3(n) units are operative in this model. Normally, the server either attends the system promptly or may take some time, after failure. The system is studied under an operational restriction on the inspection i.e. in case when system has only one unit in operational mode the server has to attend the system for inspection. Semi- Markov processes and regenerative point technique is adopted to obtain the expressions for measures of system effectiveness such as transition probabilities, mean sojourn times, to system failure , steady state availability, busy period, expected number of visits etc. Cost-analysis is also carried out for the system model.
Authors and Affiliations
G. Mokaddis
Keywords
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