Enhancing the Reliability of Series-parallel Systems with Multiple Redundancies by Using System-reliability Inequalities

M. Todinov
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Abstract

The reverse engineering of a valid algebraic inequality often leads to a projection of a novel physical reality characterized by a distinct signature: the algebraic inequality itself. This paper uses reverse engineering of valid algebraic inequalities for generating new knowledge and substantially improving the reliability of common series-parallel systems. Our study emphasizes that in the case of series-parallel systems with interchangeable redundant components, the asymmetric arrangement of components always leads to higher system reliability than a symmetric arrangement. This finding remains valid, irrespective of the particular reliabilities characterizing the components. Next, the paper presents novel system reliability inequalities whose reverse engineering enabled significant enhancement of the reliability of series-parallel systems with asymmetric arrangements of redundant components, without knowledge of the individual component reliabilities. Lastly, the paper presents a new technique for validating complex algebraic inequalities associated with series-parallel systems. This technique relies on permutation of variable values and the method of segmentation.
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利用系统可靠性不等式提高多冗余串并联系统的可靠性
对一个有效的代数不等式进行逆向工程通常会导致一个新的物理现实的投影,其特征是一个独特的特征:代数不等式本身。本文利用有效代数不等式的逆向工程来产生新的知识,并大大提高了普通串并联系统的可靠性。我们的研究强调,在具有可互换冗余组件的串并联系统中,组件的非对称排列总是比对称排列导致更高的系统可靠性。这一发现仍然有效,而不考虑组件的特定可靠性特征。其次,本文提出了新的系统可靠性不等式,其逆向工程使具有冗余组件的非对称排列的串并联系统的可靠性显著增强,而无需了解单个组件的可靠性。最后,本文给出了一种新的验证与串并联系统相关的复杂代数不等式的方法。该技术依赖于变量值的置换和分割方法。
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CiteScore
5.20
自引率
13.60%
发文量
34
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