Automated Modeling of Reliability of Structurally Complex Systems Consisting of Elements with Three Disjoint states

I. A. Ryabinin

N. G. Kuznetsov Naval Academy, St. Petersburg

Abstract: This paper presents a techniques assessing the reliability of the complex structures which can not be reduced to a series-parallel connection of elements. In the case where the system elements can have three mutually exclusive (disjoint) states – up state, “fail-closed” mode, “fail-open” mode there is a need and an opportunity to separate the system failure probability calculations for the "break" and "closure". It is shown that the developed method of estimating the reliability can be used for structures of any complexity with very weak restrictions. Orthogonalization are examples of logic functions based on the incompatibility of individual variables. Correctness of the proposed methods was confirmed by the decision of problems by full exhaustive search. Examples of automated modeling of bridge structure and the structure of the two "stars" connected to a "delta" solved using software ARBITR in which software is implemented algebra of mutually exclusive (disjoint) events.

Keywords: «Fail-closed» Mode, «Fail-Open» Mode, a Group of Mutually Exclusive (Disjoint) Events, Orthogonalization Disjunctive Normal Form, the Full Search of States, Equivalent Schemes, Logic and Probabilistic Function Transformation, ARBITR Software.

UDC: УДК 621.382