Stochastic Behaviour of an 2-out-of-3 Cold Standby System Supported by an Automatic Repair Mechanism

Abstract

This paper examines a 2-out-of-3 redundant system consisting of identical units. At the initial stage, two units operate simultaneously, while the third unit remains in cold standby. An automatic repair mechanism is employed to restore failed units. Whenever one of the operating units fails, the standby unit is immediately activated. The model also takes into account the possibility of failure of the automatic repair mechanism itself. It is assumed that each repaired unit is restored to an as-good-as-new condition, and the switching time between units is considered negligible.