Abstract
This paper presents the general concept of the reliability of the complex physical system which consists of a number of unreliable elements. Such a system is analyzed systematically by means of algebraic and topological theory. Various properties concerning the system reliability are established. The methods of linear graph theory are used to find the theoretical relationship between element reliability and system complexity. The optimizing the reliability of a basic system under certain constraints can be accomplished by the application of the theory described. A numerical procedure for finding the optimum solution is developed to facilitate computation.
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