Abstract :
This paper proposes a new model which generalizes the linear consecutive k-out-of-r-from-n system to the case of multiple failure criteria. In this model, the system consists of n linearly ordered elements, and fails iff in any group of r1,...,rH consecutive elements less than k1,...,kH elements respectively are in a working state. 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.
Keywords :
consecutive system reliability; failure analysis; probability; reliability theory; consecutive elements; consecutive k-out-of-r-from-n system; linearly ordered elements; multiple failure criteria; system reliability evaluation; universal moment generating function; Clustering algorithms; Employee welfare; Helium; Inspection; Quality control; Radar; Reliability; System testing; Temperature; Vectors; Consecutive $mmb k$-out-of- $mmb r$-from-$n$ system; multiple failure criteria; universal moment generating function;