Abstract
Reliability is the important characteristic of systems. Most of the systems consist of more than one component. Moreover, modern systems are very complex and they include a lot of components. Therefore, effective methods have to be developed for analysis of these systems. The techniques that have been already considered for this purpose are the Binary Decision Diagrams and the Logical Differential Calculus. However, these methods have been considered only for the coherent systems. In this paper, their use in the reliability analysis of the noncoherent systems is considered.
Highlights
Reliability is one of the basic characteristics of many real systems
Authors of the paper [2] considered for reliability analysis of systems such approach that is named as the Binary Decision Diagram (BDD)
The BDD has been developed for the effective representation of the Boolean functions [3], but they can be used for the structure function [4], which is used in the reliability analysis to express the correlation between the states of the system components and the state of the whole system
Summary
Reliability is one of the basic characteristics of many real systems. During the last decades, there has raised the necessity of reliability analysis of very complex systems [1]. The Logical Differential Calculus is one of the techniques that can be used in the special part of the reliability analysis, which is known as the Importance Analysis [4]. The principal goal of this part of the reliability analysis is to identify the components of the system that are more critical for the proper functioning of the analyzed system [6] For this purpose, there exist some measures that are known as Importance Measures. The new techniques for the analysis of noncoherent systems using the BDD and the Logical Differential Calculus are suggested. 114 ● COMMUNICATIONS 1 / 2 0 1 4 the algorithm for its calculation from the BDD of the structure function is developed too
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