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International Society of Science and Applied Technologies |
| Copula-Based Dependence Modeling and Reliability Optimization in Weighted k-out-of-n Systems | ||||
| Author |
Yiping Yan
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| Co-Author(s) |
Tiantian Li; Rongfang Yan; Jiandong Zhang
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| Abstract | This paper studies active redundancy allocation in
weighted k-out-of-n systems under a copula-based dependence
framework. To account for the dependence between a component
and its attached redundancy, copula theory is used to characterize
their joint behavior, while the original component lifetimes
are assumed to be mutually independent. By employing
the usual stochastic order as a comparison criterion, we derive sufficient conditions for identifying preferred allocation policies in two scenarios. First, when two components have identical lifetime distributions but different weights, the results show that the stronger redundancy should be assigned to the component with the larger weight under appropriate copula ordering conditions. Second, when two components have equal weights but different lifetime distributions, the stronger redundancy should be attached to the stochastically weaker component under suitable stochastic ordering and quadrant dependence conditions. Numerical examples are presented to illustrate the theoretical results.
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| Keywords | Weighted k-out-of-n systems, Dependence, Active redundancy, Stochastic order | |||
| Article #: RQD2026-270 | ||||
Proceedings of 31st ISSAT International Conference on Reliability & Quality in Design |