Developing the Methods of Reliability Estimation for Structurally Complex Systems of Multistate Elements

Abstract

For systems of multistate elements, the problem of developing Boolean reliability models was considered on the basis of multivalued logic, cortege algebra, algebra of groups of incompatible events, and classical logic-and-probabilistic method. Development of Boolean reliability models based on the multivalued logic was shown to be unadvisable. Numerical examples demonstrating applicability of the logic-and-probabilistic methods and their new capabilities were presented. Prospects of formulating a set of different problems that are tackled by the same logic-and-probabilistic methods with the aim of developing methods for calculation of the operational effectiveness of various levels of operability were emphasized. The possibility of constructing models for continual calculations on the basis of logic-and-probabilistic methods was demonstrated.