The Use of Boolean Algebra and a Truth Table in the Formulation of a Mathematical Model of Success

This paper presents a simple, and yet rigorous approach in developing the mathematical model of success in the reliability analysis of complex systems. Shown are detailed methods of computation of reliability where dependent or mutually exclusive failure modes are involved. It may also be applied in the statistical analysis of interrelated functions. The methods of Bootean logic are combined with the theory of probability to determine a computational routine for the development of the reliability model.