A reliability model for stress vs strength problem

In this paper a general reliability model for the stress vs strength problem has been discussed. The model has been illustrated by considering the stress to follow normal distribution and the strength to follow the gamma distribution. A numerical estimate of the reliability under different values of the distribution parameters (for both the strength and stress distributions) has been presented.Exponential distribution, to which the gamma distribution reduces when its shape parameter α equals unity, has been discussed as a particular case.