New recursive algorithm to find the failure function of the connected (2,2)‎-out-of-(m,n)‎ : F linear and circular system

Abstract EN

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 2 x 2 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.