单调关联冗余系统寿命的随机比较
Stochastic Comparison of Lifetimes for Coherent Systems with Redundancy
摘要: 本文在元件独立和相依条件下讨论了单调关联冗余系统寿命的随机比较，给出了元件层面冗余和系统层面冗余的系统寿命随机比较结果保持一致的条件，得到了可规避元件相依性对系统可靠性分析干扰的理论结论，并通过数字算例证实了理论结果。
Abstract: This paper discusses the stochastic comparison of the lifetimes of coherent systems with redundancy under scenarios of component independence or dependence. It presents the conditions under which the conclusions of stochastic comparison for system lifetimes between component-level redundancy and system-level redundancy remain consistent, derives theoretical results that can eliminate the interference of component dependence in system reliability analysis, and verifies the theoretical results through numerical examples.
文章引用：刘海芸. 单调关联冗余系统寿命的随机比较[J]. 应用数学进展, 2026, 15(2): 210-218. https://doi.org/10.12677/aam.2026.152062

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