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Abstract
Problem statement: In this study we investigated the probabilistic analysis of a two-unit warm standby system with constant failure rate and two types of repairmen and patience time. The first repairman, usually called regular repairman, always remained with the repair facility, with the known fact that he might not be able to do some complex repairs within some tolerable (patience) time. An expert repairman was called for the system if and only if the regular repairman is unable to do the job, within some fixed time or on system failure, whichever occurs first. Approach: Techniques of regenerative point processes had been used to measure the system effectiveness Results: The time-dependent availability, steady-state availability, reliability, (MTTF) and profit function were obtained numerically and graphically. Conclusion: The availability and profit decreased with respect to the increase of failure rate.
Highlights
Reliability is an important concept at the planning design and operation stages of various complex systems
In this study we investigate the “probabilistic analysis of a two-unit warm standby system with two types of repairmen and patience time”
The regular repairman is always available in the repair facility, with the known fact that he might not be able to do some complex repairs within some specified time
Summary
Reliability is an important concept at the planning design and operation stages of various complex systems. In this study we investigate the “probabilistic analysis of a two-unit warm standby system with two types of repairmen and patience time”. This study deals with the reliability and availability analysis of system which has two similar units’ one is operative and the other is warm standby. We will introduce the concept of patience time with two types of repairmen for a two unit warm standby system, with different repair rates for regular and expert repairmen. The regular repairman is always available in the repair facility, with the known fact that he might not be able to do some complex repairs within some specified time. The expert repairman is called to the system when a regular repairman is not able to do some complex repairs. The expert repairman leaves the system after completing the repair of the failed unit and the other unit which fails will be attended first by the regular repairman
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