Reliability of a Cascade System with Stress & Strength Follow Pareto Distribution

Failure of a system may occur due to certain type of stresses or loading acting on the system. If these stresses does not exceed a certain threshold value (minimum strength k) the system may work for a long period. On the other hand, if the stresses exceed the threshold they may fail within no time. For this reason pareto distribution can be used to find the reliability for stress-strength model and cascade redundancy system. Comparison with five different distributions (Geometric, Weibull, Rayleigh, Pareto, and Lognormal) pareto distribution is the best fit in the context of system reliability. Pareto distribution is used for decreasing hazard model. In this paper the reliability has been derived for cascade redundancy stress-strength system when stress and strength follow pareto distribution of the first kind. It is observed by the computations that if k_i* = 1 then the reliability for n-cascade system when stress and strength follow pareto distribution of the first kind is same as the reliability for exponential distribution even though the means are not same for these distributions.