一类多状态系统的可靠性计算

武月琴; 周 泓; 官建成

一类多状态系统的可靠性计算

北京航空航天大学经济管理学院, 北京 100083

基金项目: 国家自然科学基金资助项目(70531010,70521001); 北京航空航天大学博士生创新基金资助项目(NCET-04-0175)

详细信息

作者简介:
武月琴(1967-),女,山西大同人,博士后,wuyueqin01@sina.com.

中图分类号: TB 114.2
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- 被引次数: 0
出版历程
- 收稿日期: 2006-10-20
- 网络出版日期: 2007-08-31

Reliability estimation of a multi-state system

School of Economics and Management, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

摘要

摘要: 多状态n中连续取k系统是二值状态n中连续取k系统扩展到多状态的一般模型.多状态n中连续取k系统可靠性的求解问题是可靠性工程中一个热点和难点.当元件及系统具有多状态时分析了系统的可靠性与元件的可靠性之间的关系.对于系统处于不同状态时具有不同的可靠性结构的情形,提出了计算多状态n中连续取k坏系统可靠性的递归算法.实例对比说明了该方法的正确性和可用性.该方法不仅适用于递减或递增多状态系统,而且对系统及部件所处的状态数目的大小不加要求,为进一步研究复杂多状态系统奠定了基础.
- 多状态系统 /
- n中连续取k坏系统 /
- 系统状态分布 /
- n中连续取k好系统
Abstract: Multi-state consecutive-k-out-of-n system is the model that is generalized form two-state consecutive-k-out-of-n system. The reliability estimation of multi-state consecutive-k-out-of-n system is a hot and difficult spot in the reliability engineering field. When both the system and its components have different states: from complete failure up to perfect functioning and performance rate is associated with each component state, the reliability of the system was analyzed based on the reliability of components. The multi-state consecutive-k-out-of-n:F system may have different structures at different system levels. A new recursive algorithm for obtaining the system state distribution of multi-state consecutive-k-out-of-n:F system including the decreasing multi-state F system, the increasing multi-state F system, and other F systems was proposed. An instance was provided to illustrate the accuracy and availability of the method in the reliability estimation through comparison with the enumerating method. This algorithm is more effective for systems with many components. Moreover, it establishes foundation to the research on the complex multi-state system.
- multi-state system /
- consecutive-k-out-of-n:F system /
- system state distribution /
- consecutive- k-out-of-n:G system

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参考文献(1)

[1] Levitin G. A universal generating function approach for the analysis of multi-state systems with dependent elements[J]. Reliability Engineering and System Safety,2004,84(3):285-292 [2] Levitin G. Uneven allocation of elements in linear multi-state sliding window system[J]. European Journal of Operational Research,2005,163(2):418-433 [3] Yeh W C. The k -out-of- n acyclic multistate-node networks reliability evaluation using the universal generating function method[J]. Reliability Engineering and System Safety, 2006, 91(7):800-808 [4] Kuo W, Zuo M J. Optimal reliability modeling. principles and applications[M]. New York:John Wiley & Sons, 2003 [5] Yam R C M, Zuo M J, Zhang Y L.A method for evaluation of reliability indices for repairable circular consecutive- k -out-of- n :F systems[J]. Reliability Engineering and System Safety, 2003,79(1):1-9 [6] Guan J C, Wu Y Q. Repairable consecutive-k-out-of-n:F system with fuzzy state[J]. Fuzzy Sets and Systems,2006,157(1):121-142 [7] Wu Y Q, Guan J C. Repairable consecutive-k-out-of-n:G systems with r repairmen[J]. IEEE Transactions on Reliability,2005,54(2):328-337 [8] Huang F, Yao Y. Multistate consecutively-connected systems[J]. IEEE Transactions on Reliability,1989,38(4):472-474 [9] Kossow A, Preuss W. Reliability of linear consecutively-connected systems with multistate components[J]. IEEE Transactions on Reliability, 1995,44(3):518-522 [10] Malinowski J, Preuss W. Reliability of circular consecutively-connected systems with multi-state components[J]. IEEE Transactions on Reliability,1995,44(3):532-534 [11] Malinowski J, Preuss W. Reliability of reverse-tree-structured systems with multi-state components[J]. Microelectronic Reliability,1996,36(1):1-7 [12] Zuo M J, Liang M. Reliability of multistate consecutively-connected systems[J]. Reliability Engineering and System Safety,1994,44(2):173-176 [13] Koutras M V. Consecutive-k, r-out-of-n:DFM Systems[J]. Microelectronics and Reliability,1997,37(4):597-603 [14] Huang J, Zuo M J, Fang Z. Multi-state consecutive-k-out-of-n:systems[J]. IIE Transactions, 2003, 35(6):527-534 [15] Zuo M J, Fang Z, Huang J, et al. Performance evaluation of decreasing multi-state consecutive-k-out-of-n:G systems[J]. International Journal of Reliability, Quality and Safety Engineering,2003,10(3):345-358 [16] Yamamoto H, Zuo M J, Akiba T, et al. Recursive formulas for the reliability of multi-state consecutive-k-out-of-n:G systems[J].IEEE Transactions on Reliability, 2006, 55(1):98-104

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