|
|
相依异质部件构成故障安全系统的统计优化
|
Abstract:
本文研究了由
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。
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.
| [1] | Pham, H. and Galyean, W.J. (1992) Reliability Analysis of Nuclear Fail-Safe Redundancy. Reliability Engineering & System Safety, 37, 109-112. https://doi.org/10.1016/0951-8320(92)90003-4 |
| [2] | Zhao, P. and Balakrishnan, N. (2010) Dispersive Ordering of Fail-Safe Systems with Heterogeneous Exponential Components. Metrika, 74, 203-210. https://doi.org/10.1007/s00184-010-0297-5 |
| [3] | Zhang, Y., Amini‐Seresht, E. and Zhao, P. (2018) On Fail‐Safe Systems under Random Shocks. Applied Stochastic Models in Business and Industry, 35, 591-602. https://doi.org/10.1002/asmb.2349 |
| [4] | Zhang, J., Yan, R. and Zhang, Y. (2022) Reliability Analysis of Fail-Safe Systems with Heterogeneous and Dependent Components Subject to Random Shocks. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 237, 1073-1087. https://doi.org/10.1177/1748006x221122033 |
| [5] | Hawlader, B., Kundu, P. and Kundu, A. (2023) Stochastic Comparisons of Lifetimes of Fail-Safe Systems with Dependent and Heterogeneous Components under Random Shocks. Statistics, 57, 694-709. https://doi.org/10.1080/02331888.2023.2203926 |
| [6] | Lv, G., Yan, R. and Zhang, J. (2025) Usual Stochastic Orderings of the Second Smallest Order Statistics with Dependent Semi-Parametric Distribution Random Variables. Communications in Statistics—Theory and Methods. https://doi.org/10.1080/03610926.2025.2566988 |
| [7] | Eryilmaz, S. and Ozkut, M. (2020) Optimization Problems for a Parallel System with Multiple Types of Dependent Components. Reliability Engineering & System Safety, 199, Article ID: 106911. https://doi.org/10.1016/j.ress.2020.106911 |
| [8] | Torrado, N. (2022) Optimal Component-Type Allocation and Replacement Time Policies for Parallel Systems Having Multi-Types Dependent Components. Reliability Engineering & System Safety, 224, Article ID: 108502. https://doi.org/10.1016/j.ress.2022.108502 |
| [9] | Torrado, N. and Ozkut, M. (2024) Analyzing Component Failures in Series-Parallel Systems with Dependent Components. Computers & Industrial Engineering, 197, Article ID: 110604. https://doi.org/10.1016/j.cie.2024.110604 |
| [10] | Nelsen, R.B. (2006) An Introduction to Copulas. Springer. |
| [11] | Zhang, J. and Zhang, Y. (2022) A Copula‐Based Approach on Optimal Allocation of Hot Standbys in Series Systems. Naval Research Logistics (NRL), 69, 902-913. https://doi.org/10.1002/nav.22055 |
| [12] | Zhang, J., Yan, R. and Wang, J. (2022) Reliability Optimization of Parallel-Series and Series-Parallel Systems with Statistically Dependent Components. Applied Mathematical Modelling, 102, 618-639. https://doi.org/10.1016/j.apm.2021.10.003 |
| [13] | Marshall, A.W., Olkin, I. and Arnold, B.C. (1979) Inequalities: Theory of Majorization and Its Applications. Springer. |
| [14] | 达高峰, 丁维勇, 著. 系统可靠性: 签名计算与分析[M]. 北京: 科学出版社, 2022. |
