Stochastic Analysis of Redundant System with Partial Failure and with Correlated Life-Time

Abstract

In this paper, we analyze two identical units of a redundant system. The first unit undergoes two failure types, partial failure and complete failure while the second unit cannot have partial failure. Practical examples of such systems can be seen in electronics industries. Repairmen having knowledge of two repair types with time distribution of repair as general are always with the system. Breakdown of the system occurs if both units are in complete failure mode. Analysis of the system is done to find all measures of reliability. Taking time distribution of failure as exponential and general distribution of time for others, the various reliability measures are obtained which gives the effectiveness of the system. Measures include Average Time taken by System for Failure, Availability (uptime) of System, Number of Repairman’s visits, Busy Period Analysis of Repairman for both partially failed unit and completely failed unit, Expected Profit obtained. The conclusions about MTSF and profit from the system are carried out by Graphical studies. Main emphasis is on correlation between repair time and failure time.