Sunday 21st of January 2018

Analysis of a Parallel System with Priority to Repair over Maintenance Subject to Random Shocks

S. K. Chhillar, A.K. Barak and S.C.Malik

The goal of this paper is to analyze a two unit parallel system subject to random shocks. For this purpose, a reliability model is developed in which two identical units work in parallel. The operative unit is subjected to random shocks with some probabilities. The unit fails completely through normal mode. The maintenance and repair of the unit are conducted by a server who visits the system immediately. The shocked unit undergoes for maintenance whereas repair of the unit is done at its failure due to the reasons other than shocks. Priority is given to repair over maintenance. All random variables are statistically independent. The shock and failure times of the unit are exponentially distributed where as the distributions of maintenance and repair times are taken as arbitrary. Using regenerative point technique and semi- Markov process, several measures of system effectiveness are obtained in steady state. The graphical behaviour of MTSF, availability and profit function has been analysed for particular values of various parameters and costs.

Keywords: Parallel System, Random Shocks, Maintenance, Repair and Priority.

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S. K. Chhillar
Department of Statistics, M.D. University, Rohtak-124001, India

A.K. Barak
Department of Statistics, M.D. University, Rohtak-124001, India

Department of Statistics, M.D. University, Rohtak-124001, India

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