具有不可比状态信息的可修MS-PMS可靠性分析
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摘要
针对复杂多阶段任务系统(PMS)中存在的元件状态多态性和不可比性问题,提出了系统与元件两层的分层模块构建方法,应用连续时间Markov模型(CTMC)描述可修元件之间状态的相依和变迁的动态行为,应用多态多值决策图(MVDD)构建系统的结构函数.为处理元件状态不可比情形,将其分为组内、组间及无约束状态三组,应用CTMC构建了不同变迁约束下部件处于不同阶段时的状态组的联合概率模型,发展了具有不可比元件状态的多状态多阶段任务系统(MSPMS)可靠性分析方法.最后,通过简约形式的飞行任务系统实例,结果表明CTMC下分层分组模块分析方法能有效计算MS-PMS的可靠度,验证了模型与分析方法的可行性.
For analyzing the component states which are multi-states and not comparable in the phasedmission system(PMS), the hierarchical manner is presented for the two levels including system and components. The continuous time Markov chain(CTMC) is used to depict the dependence and transition of states, and the multi-valued decision diagram(MVDD) to model the structure function of system. In order to deal with the states which are not comparable in PMS, the states are grouped as three types, i.e. in group, among group and no restriction. In the case of different transitions, the joint probability model of component states in all stages is developed based on CTMC, and the reliability models of MS-PMS with the states which cannot compared are presented. Finally, a practical example about flying mission system is used to illustrate the practicability, and the results indicate that the layered and grouped approach can compute the reliability of MS-PMS effectively.
For analyzing the component states which are multi-states and not comparable in the phasedmission system(PMS), the hierarchical manner is presented for the two levels including system and components. The continuous time Markov chain(CTMC) is used to depict the dependence and transition of states, and the multi-valued decision diagram(MVDD) to model the structure function of system. In order to deal with the states which are not comparable in PMS, the states are grouped as three types, i.e. in group, among group and no restriction. In the case of different transitions, the joint probability model of component states in all stages is developed based on CTMC, and the reliability models of MS-PMS with the states which cannot compared are presented. Finally, a practical example about flying mission system is used to illustrate the practicability, and the results indicate that the layered and grouped approach can compute the reliability of MS-PMS effectively.
引文
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[15] Wu X Y, Yan H, Li L R. Numerical method for reliability analysis of phased-mission system using Markov chains[J]. Communication in Statistics—Theory and Methods, 2012, 41(21):3960-3973.
[16] Mura I, Bondavalli A. Markov regenerative stochastic Petri nets to model and evaluate phased mission systems dependability[J]. IEEE Transactions on Computers, 2001, 50(12):1337-1351.
[17] Mo Y, Siewiorek D, Yang X Z. Mission reliability analysis of fault-tolerant multiple phased systems[J]. Reliability Engineering and System Safety, 2008, 93(7):1036-1046.
[18]陈光宇,黄锡滋,唐小我.多阶段系统可靠性的混合式分析[J],系统工程理论与实践,2005,25(2):86-93.Chen G Y, Huang X Z, Tang X W. Hybrid methods for reliability analysis of phased-mission systems[J]. Systems Engineering—Theory&Practice, 2005, 25(2):86-93.
[19] Wang C, Xing L, Peng R, et al. Competing failure analysis in phased-mission systems with multiple functional dependence groups[J]. Reliability Engineering System Safety, 2017, 164:24-33.
[20] Lu J M, Lundteigen M A, Liu Y, et al. Flexible truncation method for the reliability assessment of phasedmission systems with repairable components[J]. Eksploatacja i Niezawodnosc—Maintenance and Reliability,2016, 18(2):229-236.
[21] Shrestha A, Xing L, Dai Y. Reliability analysis of multistate phased-mission systems with unordered and ordered states[J]. IEEE Transactions on Systems, Man, and Cybernetics—Part A:Systems and Humans, 2011, 41(4):625-636.
[22] Levitin G, Xing L, Amari S V, et al. Reliability of non-repairable phased-mission systems with propagated failures[J]. Reliability Engineering and System Safety, 2013, 119:218-228.
[23] Levitin G, Amari S V, Xing L. Algorithm for reliability evaluation of nonrepairable phased-mission systems consisting of gradually deteriorating multistate elements[J]. IEEE Transactions on Systems, Man, and Cybernetics:Systems, 2013, 43(1):63-73.
[24] Mo Y, Xing L, Amari S V. A multiple-valued decision diagram based method for efficient reliability analysis of non-repairable phased-mission systems[J]. IEEE Transcations on Reliability, 2014, 63(1):320—330.
[25]陈光宇,张小民,唐小我.基于分离BDD的通用多阶段任务系统可靠性分析[J],系统工程理论与实践,2013, 33(5):1240-1246.Chen G Y, Zhang X M, Tang X W. Analysis of generalized phased-mission systems reliability based on separable binary decision diagram[J]. Systems Engineering—Theory&Practice, 2013, 33(5):1240-1246.
[26] Somani A K. Simplified phased-mission system analysis for systems with independent component repairs[J].International Journal of Reliability Quality Safety Engineering, 1997, 4(2):167-189.
[27] Wang D, Trivedi K S. Reliability analysis of phased-mission system with independent component repairs[J]. IEEE Transactions on Reliability, 2007, 56(3):540-550.
[28] Xing L, Dai Y. A new decision diagram based method for efficient analysis on multi-state systems[J]. IEEE Transactions on Dependable Secure Computer, 2009, 6(3):161-174.
[29] Lu J M, Wu X Y, Liu Y L, et al. Reliability analysis of large phased-mission systems with repairable components based on success-state sampling[J]. Reliability Engineering and System Safety, 2015, 142:123-133.
[2] Mo Y. New insights into the BDD-based reliability analysis of phased-mission systems[J]. IEEE Transactions on Reliability, 2009, 58(4):667-678.
[3] Zhu P, Han J, Liu L, et al. Reliability evaluation of phased-mission systems using stochastic computation[J].IEEE Transactions on Reliability, 2016:1-12.
[4] Reed S, Andrews J D, Dunnett S J. Improved efficiency in the analysis of phased mission systems with multiple failure mode components[J]. IEEE Transactions on Reliability, 2011, 60(1):70-79.
[5] Shrestha A, Xing L, Dai Y. Reliability analysis of multistate phased-mission systems with unordered and ordered states[J]. IEEE Transactions on Systems, Man, and Cybernetics—Part A:Systems and Humans, 2011, 41(4):625-636.
[6] Mo Y, Xing L, Amari S V. A multiple-valued decision diagram based method for efficient reliability analysis of non-repairable phased-mission systems[J]. IEEE Transactions on Reliability, 2014, 63(1):320—330.
[7] Peng R, Zhai Q, Xing L, et al. Reliability of demand-based phased-mission systems subject to fault level coverage[J]. Reliability Engineering and System Safety, 2014, 121(1):18-25.
[8] Xing L. Reliability evaluation of phased-mission systems with imperfect fault coverage and common-cause failures[J]. IEEE Transactions on Reliability, 2007, 56(1):58-68.
[9] Tang Z, Dugan J B. BDD-based reliability analysis of phased-mission systems with multimode failures[J]. IEEE Transactions on Reliability, 2006, 55(2):350-360.
[10] Zang X, Wang D, Sun H, et al. A BDD-based algorithm for analysis of multistate systems with multistate components[J]. IEEE Transactions on Computers, 2003, 52(12):1608-1618.
[11] Xing L, Levitin G. BDD-based reliability evaluation of phased-mission systems with internal/external commoncause failures[J]. Reliability Engineering and System Safety, 2013, 112:145-153.
[12] Levitin G, Xing L, Yu S. Optimal connecting elements allocation in linear consecutively-connected systems with phased mission and common cause failures[J]. Reliability Engineering and System Safety, 2014, 130:85-94.
[13] Wang C, Xing L, Levitin G. Probabilistic common cause failures in phased-mission systems[J]. Reliability Engineering and System Safety, 2015, 144:53-60.
[14] Smotherman M K, Zemoudeh K. A non-homogeneous Markov model for phased-mission reliability analysis[J].IEEE Transactions on Reliability, 1989, 38(5):585-590.
[15] Wu X Y, Yan H, Li L R. Numerical method for reliability analysis of phased-mission system using Markov chains[J]. Communication in Statistics—Theory and Methods, 2012, 41(21):3960-3973.
[16] Mura I, Bondavalli A. Markov regenerative stochastic Petri nets to model and evaluate phased mission systems dependability[J]. IEEE Transactions on Computers, 2001, 50(12):1337-1351.
[17] Mo Y, Siewiorek D, Yang X Z. Mission reliability analysis of fault-tolerant multiple phased systems[J]. Reliability Engineering and System Safety, 2008, 93(7):1036-1046.
[18]陈光宇,黄锡滋,唐小我.多阶段系统可靠性的混合式分析[J],系统工程理论与实践,2005,25(2):86-93.Chen G Y, Huang X Z, Tang X W. Hybrid methods for reliability analysis of phased-mission systems[J]. Systems Engineering—Theory&Practice, 2005, 25(2):86-93.
[19] Wang C, Xing L, Peng R, et al. Competing failure analysis in phased-mission systems with multiple functional dependence groups[J]. Reliability Engineering System Safety, 2017, 164:24-33.
[20] Lu J M, Lundteigen M A, Liu Y, et al. Flexible truncation method for the reliability assessment of phasedmission systems with repairable components[J]. Eksploatacja i Niezawodnosc—Maintenance and Reliability,2016, 18(2):229-236.
[21] Shrestha A, Xing L, Dai Y. Reliability analysis of multistate phased-mission systems with unordered and ordered states[J]. IEEE Transactions on Systems, Man, and Cybernetics—Part A:Systems and Humans, 2011, 41(4):625-636.
[22] Levitin G, Xing L, Amari S V, et al. Reliability of non-repairable phased-mission systems with propagated failures[J]. Reliability Engineering and System Safety, 2013, 119:218-228.
[23] Levitin G, Amari S V, Xing L. Algorithm for reliability evaluation of nonrepairable phased-mission systems consisting of gradually deteriorating multistate elements[J]. IEEE Transactions on Systems, Man, and Cybernetics:Systems, 2013, 43(1):63-73.
[24] Mo Y, Xing L, Amari S V. A multiple-valued decision diagram based method for efficient reliability analysis of non-repairable phased-mission systems[J]. IEEE Transcations on Reliability, 2014, 63(1):320—330.
[25]陈光宇,张小民,唐小我.基于分离BDD的通用多阶段任务系统可靠性分析[J],系统工程理论与实践,2013, 33(5):1240-1246.Chen G Y, Zhang X M, Tang X W. Analysis of generalized phased-mission systems reliability based on separable binary decision diagram[J]. Systems Engineering—Theory&Practice, 2013, 33(5):1240-1246.
[26] Somani A K. Simplified phased-mission system analysis for systems with independent component repairs[J].International Journal of Reliability Quality Safety Engineering, 1997, 4(2):167-189.
[27] Wang D, Trivedi K S. Reliability analysis of phased-mission system with independent component repairs[J]. IEEE Transactions on Reliability, 2007, 56(3):540-550.
[28] Xing L, Dai Y. A new decision diagram based method for efficient analysis on multi-state systems[J]. IEEE Transactions on Dependable Secure Computer, 2009, 6(3):161-174.
[29] Lu J M, Wu X Y, Liu Y L, et al. Reliability analysis of large phased-mission systems with repairable components based on success-state sampling[J]. Reliability Engineering and System Safety, 2015, 142:123-133.