Reliability analysis of time-dependent cascade system with deterministic cycle times

Reliability analysis of time-dependent 2-cascade and 3-cascade systems is carried out using stress/strength models by considering each of the stress and strength variables as deterministic or random fixed or random independent. The number of cycles in any period of time t is assumed to be deterministic. The components are identical in the sense that the components have exactly the same strength if the strength variable is deterministic and have independent and identical distributions if the strength variable is random. Attenuation factors, K_i's, are constants. Expressions for system reliability are obtained and reliability values are computed for specific values of N, the number of cycles, when stress and strength distributions are exponential.