Thursday 28th of March 2024
 

Cost-Benefit Analysis of a Redundant System with Inspection and Priority Subject to Degradation


Jitender Kumar

This paper deals with the cost-benefit analysis of a system of two identical units-one is operative and the other is kept as cold standby. There is a single server who attends the system immediately whenever needed. The unit becomes degraded after repair. The server inspects the degraded unit at its failure to see the feasibility of repair. If the repair of the degraded unit is not feasible, it is replaced by new unit which gets priority in operation as well as in repair over the degraded unit. The system is considered in up-state if either of new/degraded unit is operative. The distributions of failure time of the units are taken as negative exponential while that of inspection and repair times are taken as arbitrary such as exponential distribution, Erlang distribution and Weibull distribution etc. Various reliability measures of system effectiveness are obtained by using semi-Markov process and regenerative point technique. The behavior of mean time to system failure (MTSF), availability and profit of the system have also been studied through graphs.

Keywords: Redundant System, Inspection, Priority, Degradation and Cost-Benefit Analysis.

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ABOUT THE AUTHOR

Jitender Kumar
Dr. Jitender Kumar is lecturer in School of Mathematics and Computer Applications, Thapar University, Patiala, India. He received his Ph. D. degree in 2010 from Kurukshetra University, Kurukshetra, India. He has published more than 15 papers in the area of reliability modeling. His research interest is reliability modeling and analysis.


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