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Reliability Measures of a Cold Standby System with Priority to Repair over Corrective Maintenance Subject to Random Shocks

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


In the present study, a reliability model for a two-unit cold standby system is developed considering the concepts of random shocks, corrective maintenance and priority in repair disciplines. The operative unit is subjected to shocks and suffers some amount of damage at each shock with some probability. The unit may fail due to reasons other than shocks. There is a single server who visits the system immediately and conducts corrective maintenance of the shocked unit. However, repair
of unit is done at its failure due to other reasons. Priority is given to repair over corrective maintenance. The unit works as new after Maintenance and repair are assumed as perfect. Random shocks and failure times of the unit are exponentially distributed while maintenance and repair times are taken as arbitrary with different probability density functions. Some reliability characteristics of the system model are derived in steady state using semi-Markov process and regenerative point
technique. The graphical study has also been made for mean time to system failure (MTSF), availability and profit giving arbitrary values to various costs and parameters.


Reliability Model, Cold Standby System, Random Shocks, Corrective Maintenance, Repair, Priority and Profit Analysis.

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