Stress–strength models with more than two states under exponential distribution

Abstract

ABSTRACTIn the stress–strength models, analysis is based on the reliability of the system where the system is either in operational state or in failure state. Eryılmaz (2011) introduced the stress–strength reliability in a different framework assigning more than two states to the system depending on the difference between strength and stress values. Unlike Eryılmaz (2011), the present article deals with the ratio of the strength and stress values when the stress and strength follow independent exponential distributions. This article presents in detail the estimation aspect of the multistate stress–strength reliability function.