On reliability of binary systems in a random environment

The influence of random environments to technical systems reliability is studied. A Markov model of reliability of the system that operates in a random Markov environment is proposed. General relations for stationary and non-stationary Quality of Service (QoS) characteristics of such system are given. Numerical study and comparison for a cold backup system operating in stable and random two-state environments are performed. © 2013 Allerton Press, Inc.