Abstract
Reliability analysis of a linear consecutive 2-out-of-3 system in the presence of supporting device and repairable service station
Highlights
Systems are usually studied with intention to the evaluation of their reliability measures in terms of mean time to system failure (MTSF), busy period of repairman, availability and generated revenue
We numerically obtained the results for mean time to system failure, system availability, busy period and profit function for all the developed models
Explicit expressions steady-state availability, busy period, profit function and mean time to system failure the system was derived and comparative analysis was performed numerically to highlight the importance of preventive maintenance
Summary
Systems are usually studied with intention to the evaluation of their reliability measures in terms of mean time to system failure (MTSF), busy period of repairman, availability and generated revenue. There exist systems that cannot work without the help of external supporting devices connect to such systems. These external supporting devices are systems themselves that are frowned to failure as such require preventive maintenance to improve their reliability. One of the forms of redundancy is the k-out-of-n system which has wide application in industrial setting. Examples of 2-out-of-3 redundancy can be seen in aircrafts, nuclear plants, satellites, electric generators, computer systems, power plants, manufacturing systems, and industrial systems.
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