通过解释代数不等式提高系统可靠性和选择可靠组件的概率

IF 0.6 Q4 AUTOMATION & CONTROL SYSTEMS

International Journal of Modelling Identification and Control Pub Date : 2023-01-01 DOI:10.1504/ijmic.2023.133429

Michael T. Todinov

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引用次数: 0

摘要

通过推导和解释一个新的代数不等式，得到了与部件级可互换冗余的通用系统可靠性有关的新结果。结果表明，对于具有可互换冗余部件的系统，通过冗余部件的非对称布置可以提高系统的可靠性。主要部件按故障概率升序排列，冗余部件按故障概率降序排列，可获得最大的系统可靠性。对于可加性比率的不平等，给出了一种新的概率解释，从而提供了一种有效的策略来提高具有互斥事件的事件发生的概率。利用这一结果，开发了一种反直觉的策略，以提高从一组供应商处购买可靠产品的概率。

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Improving system reliability and the probability of selecting reliable components by interpreting algebraic inequalities

New results related to the reliability of common systems with interchangeable redundancies at a component level have been obtained by deriving and interpreting a new algebraic inequality. It is shown that for systems with interchangeable redundant components, the system reliability can be increased by asymmetrical arrangement of the redundant components. Maximum system reliability is obtained by arranging the main components in ascending order of their probabilities of failure while the redundant components are arranged in descending order of their probabilities of failure. For the inequality of the additive ratios, a novel probabilistic interpretation is provided which resulted in a powerful strategy for improving the probability of an event occurring with mutually exclusive events. Using this result, a counter-intuitive strategy has been developed for improving the probability of purchasing a reliable product from a set of suppliers.

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来源期刊

International Journal of Modelling Identification and Control AUTOMATION & CONTROL SYSTEMS-

CiteScore

1.70

自引率

57.10%

发文量

期刊介绍： Most of the research and experiments in the fields of science, engineering, and social studies have spent significant efforts to find rules from various complicated phenomena by observations, recorded data, logic derivations, and so on. The rules are normally summarised as concise and quantitative expressions or “models". “Identification" provides mechanisms to establish the models and “control" provides mechanisms to improve the system (represented by its model) performance. IJMIC is set up to reflect the relevant generic studies in this area.