New Recursive Algorithm to Find the Failure Function of the Connected (2,2)-out-of-(m,n): F Linear and Circular System

Abstract

The connected (r,s)-out-of-(m,n): F linear and circular system fails if there is an area of failures that includes at least a sub matrix (r,s) that contains all failed components. For example, the connected (2,2)-out-of-(m,n): F linear and circular system is failed if there is a square of failed components. In this paper, a new recursive algorithm to find the failure function of the connected (2,2)-out-of-(m,n): F linear and circular system is obtained. The algorithm uses the failure states of the consecutive 2-out-of-n: F linear and circular. Keywords Consecutive k-out-of-n: F Linear and Circular System, The Connected (r,s)-out-of-(m,n): Linear and Circular System.