Linear m-Consecutive k-out-of-r-From- n: F Systems

This paper proposes a new model that generalizes the linear consecutivek-out-of-r-from-nsystem to the case ofmconsecutive runs ofrelements. In this model, the system consists ofnlinearly ordered statistically independent elements, and fails iff in each of at leastmconsecutive overlapping groups ofrconsecutive elements at leastkelements fail. This system model is motivated by a heating system for moving parts. An algorithm for system reliability evaluation is suggested which is based on an extended universal moment generating function. Examples of system reliability evaluation are presented.