A Reliability Model for Systems with Markov Structure
Bev Littlewood · Journal of the Royal Statistical Society Series C (Applied Statistics) · 1975
A system is considered in which switching takes place between sub-systems according to a continuous parameter Markov chain. Failures may occur in Poisson processes in the sub-systems, and in the transitions between subsystems. All failure processes are independent. The overall failure process is described exactly and asymptotically for highly reliable sub-systems. An application to process-control computer software is suggested.