Optimization Considerations in Design Reliability by Stress-Strength Interference Theory

Reliability of a component can be computed if the probability distributions for the stress and strength are known. The factors which determine the parameters of the distributions for stress and strength random variables can be controlled in design problems. This leads to the problem of finding the optimal values of these parameters subject to resource and design constraints. Some optimization models are discussed. The special structure of these models is exploited to develop the optimization techniques which are illustrated by simple design examples.