Reliability Function of the Connected- (2,2)-out-of-(m,n): F Linear and Circular System

Abstract

The connected-(2,2)-out-of-(m,n):F linear (circular) lattice system consists of components.  The system fails if and only if an area of connected failed components includes a square  of connected failed components. In this paper a new recursive algorithm to find the reliability function of the connected- (2,2)-out-of-(m,n): F linear and circular system is obtained. The algorithm depends on the functioning and the failure state of the consecutive 2-out-of-n: F linear and circular system.