Reliability of a double redundant system under the full repair scenario

This chapter presents the analytical expressions for the time-dependent and steady-state system probabilities as well as the system reliability function. Reliability of both simple and complex systems is a key issue in management, production and other areas of human activity. The chapter focuses on how to apply the decomposable semi-regenerative processes theory to the problem of studying the reliability characteristics of a double redundant system under the full repair scenario and arbitrarily distributed life-time and repair time of system components, as well as repair of the whole system. It introduces the process for system behaviour described as regenerative and deals with the calculation of the reliability function and the system's mean lifetime. The chapter considers the process behavior in a separate regeneration period and find time-dependent system state probabilities. It also presents the results of steady-state probabilities. © ISTE Ltd 2022.