Topology of Switching Elements vs. Reliability

Abstract
The topology of switching elements is explored from a probability or reliability standpoint. Arrays are indicated which offer a greater degree of reliability than any one of their elements, hence disproving the belief that circuit complexity necessarily lessens reliability. A further result is production of a simple mathematical technique adaptable to the solution of complex circuits in terms of reliability. Such ``circuits'' may actually consist of redundant communication paths as a more general interpretation of switching elements.