Computation of Birnbaum’s Importance Using Logic Differential Calculus | IEEE Conference Publication | IEEE Xplore
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Computation of Birnbaum’s Importance Using Logic Differential Calculus


Abstract:

Reliability analysis of technical systems, such as telecommunication, computer, or distribution networks, is a complex problem, which includes a lot of steps. Very import...Show More

Abstract:

Reliability analysis of technical systems, such as telecommunication, computer, or distribution networks, is a complex problem, which includes a lot of steps. Very important step is evaluation of importance of the system components for operation of the system. For this task, special indices known as importance measures are used. These measures can be structure, time-independent or time-dependent. One of the most commonly used importance measures is Birnbaum's Importance (BI). The structure version of this measure is defined as a relative number of situations in which a failure of a specific system component causes that the system fails. The time-independent version of this measure agrees with the probability that a failure of a given component results in a failure of the system, while the time-dependent version expresses how this probability changes over time. BI is used in computation of many other importance measures. This indicates that development of a unified approach for its computation can be used to develop a comprehensive framework for evaluation of importance of system components. In this paper, we present how logic differential calculus can be used for development of such an approach, and how various BI measures can be used in reliability analysis of a distributed computing system.
Date of Conference: 01-03 July 2019
Date Added to IEEE Xplore: 25 July 2019
ISBN Information:
Conference Location: Budapest, Hungary

References

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