D/Boolean application in reliability analysis

Abstract

The disjointed Boolean (D/Boolean) solutions of several complex network reliability problems are presented to demonstrate the power and versatility of D/Boolean algebra. D/Boolean algebra is treated as a probability (rather than Boolean) function. This approach gives a reliability analyst the choice of preserving only the essential logic functions, removing the cumbersome manipulation of unnecessary logics, and efficiently deriving a probability solution of a system. The basic theory of D/Boolean algebra is discussed. It illustrates how a reliability solution of a moderately complex system (which may include a number of statistically dependent and independent circuits and/or the mixtures of sequential and combinatorial reliabilities) can be solved manually without complex computer algorithms.<>