PROBABILISTIC ANALYSIS OF A THREE-UNIT SERIES-PARALLEL SYSTEM WITH COMMON-CAUSE, HUMAN ERROR AND ENVIRONMENTAL STATE FAILURES

Abstract

This paper presents a mathematical model for performing reliability and availability analyses of Series- Parallel system with constant human error and common-cause failure rates. The method of Integro-differential equation was used to develop equations for the model to obtain the general expression. The Laplace transform technique was used to obtain the system reliability with constant human error failure rate of the system