Some stress-strength reliability models
Abstract This paper presents reliability expressions for five stress-strength models of parallel systems with non-identical units. Models are developed for the following systems: 1. (1) when system stress probability density function is exponentially distributed 2. (2) the stress probability density function follows gamma distribution 3. (3) system stresss probability density function can be described by beta distribution 4. (4) stress probability density function is given by a power series 5. (5) and finally, when system stress probability density function follows chi-square distribution. In these models, the unit strength probability density function is exponentially distributed with constant failure rate.