Reliability of Time Dependent Stress-Strength System for Half Logistic Distribution

Abstract

Failure of a system may occur due to certain type of stresses acting on them. If these stresses do not exceed a certain threshold value the system may work for a long period. On the other hand, if the stresses exceed the threshold they may fail within no time. There is uncertainty about stress and strength random variables at any instant of time and also about the behavior of the variables with respect to time and cycles. Time dependent stress-strength models are considered with repeated application of stress and also the change of the strength with time. Reliability of time dependent stressstrength system is carried out by considering each of stress variables are random-fixed and strength variables are randomindependent and vice versa and deterministic stress and random independent strength and vice-versa for stress-strength follow Half Logistic Distribution. It is observed from the computations that the reliability of the system is depending on the stress parameter and the strength parameter and another constant parameters