相依异质部件构成故障安全系统的统计优化
Statistical Optimization of Fail-Safe Systems with Dependent Heterogeneous Components
DOI: 10.12677/sa.2026.152033, PDF,   
作者: 苟 倩：西北师范大学数学与统计学院，甘肃 兰州
关键词: 异质部件；故障安全系统；Copula；优化序；成本函数；Heterogeneous Components； Fail-Safe Systems； Copula； Majorization； Cost Function
摘要: 本文研究了由 N 种类型异质部件构成的故障安全系统的统计优化。考虑同一类型部件相依可交换，不同类型部件之间独立的情况下，故障安全系统的平均失效时间的比较，以及使得平均成本率函数最小的每种类型部件的最优数量。
Abstract: This paper studies the statistical optimization of fail-safe systems composed of heterogeneous components of various types. It considers the case where components of the same type are exchangeable and dependent, while components of different types are independent, and compares the mean time to failure, and the optimal number of each type of component that minimizes the average cost rate function.
文章引用：苟倩. 相依异质部件构成故障安全系统的统计优化[J]. 统计学与应用, 2026, 15(2): 49-57. https://doi.org/10.12677/sa.2026.152033

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