Stochastic comparisons of relevation allocation policies in coherent systems

Jiandong Zhang and Yiying Zhang ()
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Jiandong Zhang: Northwest Normal University
Yiying Zhang: Southern University of Science and Technology

TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, 2023, vol. 32, issue 3, No 3, 865-907

Abstract: Abstract In reliability engineering, the relevation model can be adopted to characterize the performance of redundancy allocation for coherent systems. In this paper, we investigate the allocation problems of relevations for two nodes in a coherent system with independent components for enhancing system reliability. We first investigate the optimal allocation policy of two relevations for two nodes of the system under certain conditions. As a special setting of the relevation, we further discuss optimal allocation strategies for a batch of minimal repairs allocated to two components of the coherent system by applying the useful tool of majorization order. Sufficient conditions are established in terms of structural relationships between the components induced by minimal cut or path sets and the reliabilities of components and relevations. Some numerical examples are provided as illustrations. A real application in aircraft indicator lights systems is also presented to show the availability of our results.

Keywords: Relevation; Minimal repair; Coherent system; Path/cut sets; Stochastic orders; Primary 90B25; Secondary 60E15; 60K10 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s11749-023-00855-0

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