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Dynamic reliability measures of weighted k-out-of-n system with heterogeneous components and its application to solar power generating system

Vaibhav Bisht and S B Singh

Journal of Risk and Reliability, 2025, vol. 239, issue 5, 1178-1188

Abstract: In the realm of dynamic reliability analysis, this research paper presents a novel mathematical model for the weighted k -out-of- n system with two heterogeneous components also said to be weighted ( k 1 , k 2 )-out-of- n repairable system. This innovative framework comprises two distinct component types, whose simultaneous functioning yields system operation if and only if the cumulative weight of the operational type 1 component is at least k 1 , and that of the type 2 component is at least, k 2 . Each component type has a number of distinct individual components with variable states that change over time, making the state probabilities of those components time-dependent. By employing an algorithm grounded in L z -transform, dynamic reliability measures comprising reliability, availability, mean expected performance, and expected profit are derived for the system taken into consideration. This study also introduces a pioneering connection between the L z -transform and queueing theory and extends its implications to various intricate engineering systems meeting the established criteria.

Keywords: Lz-transform; weighted (k1, k2)-out-of-n system; reliability; availability; cost analysis (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:sae:risrel:v:239:y:2025:i:5:p:1178-1188

DOI: 10.1177/1748006X241289014

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