考虑两种失效竞争的多状态冷贮备系统可靠性模型
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摘要
针对装备系统中多状态工作部件存在退化失效与突发失效竞争的情况,以冷贮备系统为研究对象,假设系统内3个维修台可分别提供预防性维修与两种不同类型的修复性维修,采用随机检测策略,系统性能水平在一定范围内退化时进行预防性维修,部件完全退化失效时进行退化失效修复性维修,而突发失效时进行突发失效修复性维修;利用PH(Phase-type)分布描述模型中各类随机时间变量,外部冲击的到达则采用PH更新过程描述,建立了考虑退化失效与突发失效的多状态冷贮备系统可靠性模型。最后通过算例验证了模型的适用性,演示了预防性维修阈值以及三类维修速率对系统可靠性的影响。
This research investigates a multi-state cold standby system that exists competition between degradation failure and catastrophic failure.Three maintenance stations in the hypothetical system can provide preventive maintenance and two different types of corrective maintenance.Preventive maintenance is performed when the online unit degrades within certain levels,The degradation type maintenance is performed when the online unit is completely degraded,and the catastrophic failure type maintenance is performed when catastrophic failure occurs.The Phase-type(PH)distribution method is used to describe the distribution of various time variables in the model.The external shocks is described by a PH-renewal process.A multi-state cold storage system reliability model considering degradation failure and catastrophic failure is established.Finally,the applicability of the model is verified by numerical applications,and the influence of the different preventive maintenance thresholds and the maintenance rates of the three types of maintenance on the system reliability measure are demonstrated.
This research investigates a multi-state cold standby system that exists competition between degradation failure and catastrophic failure.Three maintenance stations in the hypothetical system can provide preventive maintenance and two different types of corrective maintenance.Preventive maintenance is performed when the online unit degrades within certain levels,The degradation type maintenance is performed when the online unit is completely degraded,and the catastrophic failure type maintenance is performed when catastrophic failure occurs.The Phase-type(PH)distribution method is used to describe the distribution of various time variables in the model.The external shocks is described by a PH-renewal process.A multi-state cold storage system reliability model considering degradation failure and catastrophic failure is established.Finally,the applicability of the model is verified by numerical applications,and the influence of the different preventive maintenance thresholds and the maintenance rates of the three types of maintenance on the system reliability measure are demonstrated.
引文
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[3]LIU Y M,SHI Y M,BAI X C,et al.Reliability estimation of a N-M-cold-standby redundancy system in a multicomponent stress-strength model with generalized half-logistic distribution[J].Physica A:Statistical Mechanics and its Applications,2018,490:231-249.
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[6]A-HAMEED M S,PROSCHAN F.Nonstationary shock models[J].Stochastic Processes and their Applications,1973,1(4):383-404.
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[9]王浩伟,奚文骏,冯玉光.基于退化失效与突发失效竞争的导弹剩余寿命预测[J].航空学报,2016,37(4):1240-1248.WANG H W,XI W J,FENG Y G.Remaining life prediction based on competing risks of degradation failure and traumatic failure for missiles[J].Acta Aeronautica et Astronautica Sinica,2016,37(4):1240-1248(in Chinese).
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[15]PENG H,FENG Q M,COIT D W.Reliability and maintenance modeling for systems subject to multiple dependent competing failure processes[J].IIE Transactions,2011,43(1):12-22.
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[18]ZHANG J,HUANG X Y,FANG Y T,et al.Optimal inspection-based preventive maintenance policy for threestate mechanical components under competing failure modes[J].Reliability Engineering and System Safety,2016,152:95-103.
[19]YUE D Q,GAO Q Q.A geometric process model for deteriorating operating system with periodic and random inspections[J].Quality Technology and Quantitative Management,2017,14(3):269-279.
[20]NEUTS M F,MEIER K S.On the use of phase type distributions in reliability modelling of systems with two components[J].Operations Research Spektrum,1981,2(4):227-234.
[21]KIMA H,KIMB P.Reliability models for a nonrepairable system with heterogeneous components having aphasetype time-to-failure distribution[J].Reliability Engineering and System Safety,2017,159:37-46.
[22]王威,尹东亮,陈童.考虑修理工多重休假的并联系统可靠性模型分析[J].系统工程与电子技术,2017,39(11):2631-2636.WANG W,YIN D L,CHEN T.Analysis on reliability model of parallel system with a repairman taking multiple vacations[J].Systems Engineering and Electronics,2017,39(11):2631-2636(in Chinese).
[23]RUIZ-CASTRO J E.Preventive maintenance of a multistate device subject to internal failure and damage due to external shocks[J].IEEE Transactions on Reliability,2014,62(2):646-660.
[24]MONTORO C D,PREZO R.An LDQBD process under degradation,inspection,and two types of repair[J].European Journal of Operational Research,2008,190(2):494-508.
[25]HAGGSTROM O,ASMUSSEN S,NERMAN O.Empht-aprogram for fitting phase type distribution[R].Goteborg:Chalmers University of Technology,1992.
[2]ZHANG X.Reliability analysis of a cold standby repairable system with repairman extra work[J].Journal of Systems Science and Complexity,2015,28(5):1015-1032.
[3]LIU Y M,SHI Y M,BAI X C,et al.Reliability estimation of a N-M-cold-standby redundancy system in a multicomponent stress-strength model with generalized half-logistic distribution[J].Physica A:Statistical Mechanics and its Applications,2018,490:231-249.
[4]BARTON R M,DAMON W W.Reliability in a multistate system[C]∥The Sixth Annual Southeastern Symposium on Systems Theory,1974:169-173.
[5]LISNIANSKI A.Multi-state system reliability Aanalysis and optimization for engineers and industrial managers[M].London:Springer-Verlag,2010:1-18.
[6]A-HAMEED M S,PROSCHAN F.Nonstationary shock models[J].Stochastic Processes and their Applications,1973,1(4):383-404.
[7]AN Z W,SUN D M.Reliability modeling for systems subject to multiple dependent competing failure processes with shock loads above a certain level[J].Reliability Engineering and System Safety,2017,157:129-138.
[8]YUAN R,LI H Q,HE L P.Reliability analysis for the competing failure with probabilistic failure threshold value and its application to the k-out-of-n systems[J].Journal of Shanghai Jiao Tong University(Science),2015,20(4):500-507.
[9]王浩伟,奚文骏,冯玉光.基于退化失效与突发失效竞争的导弹剩余寿命预测[J].航空学报,2016,37(4):1240-1248.WANG H W,XI W J,FENG Y G.Remaining life prediction based on competing risks of degradation failure and traumatic failure for missiles[J].Acta Aeronautica et Astronautica Sinica,2016,37(4):1240-1248(in Chinese).
[10]LEVITINAB G,FINKELSTEINCD M.Effect of element separation in series-parallel systems exposed to random shocks[J].European Journal of Operational Research,2016,260:305-315.
[11]RIASCOS-OCHOA J,SANCHEZ-SILVA M,AKHA-VAN-TABATABAEI R.Reliability analysis of shockbased deterioration using phase-type distributions[J].Probabilistic Engineering Mechanics,2014,38:88-101.
[12]尹东亮,胡涛,陈童.考虑维修优先权的多状态温贮备系统可靠性模型研究[J].控制与决策,2018,33(11):2029-2036.YIN D L,HU T,CHEN T.Reliability analysis for a multi-state warm standby system with repair priority[J].Control and Decision,2018,33(11):2029-2036(in Chinese).
[13]陈童,狄鹏,尹东亮.考虑维修优先权的多状态冷储备系统可靠性模型[J].兵工学报,2017,38(7):1422-1429.CHEN T,DI P,YIN D L.Reliability analysis of multistate cold standby system with repair priority[J].Acta Armamentarii,2017,38(7):1422-1429(in Chinese).
[14]SONG S L,COITA D W,FENG Q M.Reliability for systems of degrading components with distinct component shock sets[J].Reliability Engineering and System Safety,2014,132:115-124.
[15]PENG H,FENG Q M,COIT D W.Reliability and maintenance modeling for systems subject to multiple dependent competing failure processes[J].IIE Transactions,2011,43(1):12-22.
[16]GOEL L R,SHARMA G C,GUPTA P.Reliability analysis of a system with preventive maintenance,inspection and two types of repair[J].Microelectronics and Reliability,1986,26(3):429-433.
[17]LI Y,MA X B,PENG R,et al.A preventive maintenance policy based on dependent two-stage deterioration and external shocks[J].Reliability Engineering and System Safety,2017,160:201-211.
[18]ZHANG J,HUANG X Y,FANG Y T,et al.Optimal inspection-based preventive maintenance policy for threestate mechanical components under competing failure modes[J].Reliability Engineering and System Safety,2016,152:95-103.
[19]YUE D Q,GAO Q Q.A geometric process model for deteriorating operating system with periodic and random inspections[J].Quality Technology and Quantitative Management,2017,14(3):269-279.
[20]NEUTS M F,MEIER K S.On the use of phase type distributions in reliability modelling of systems with two components[J].Operations Research Spektrum,1981,2(4):227-234.
[21]KIMA H,KIMB P.Reliability models for a nonrepairable system with heterogeneous components having aphasetype time-to-failure distribution[J].Reliability Engineering and System Safety,2017,159:37-46.
[22]王威,尹东亮,陈童.考虑修理工多重休假的并联系统可靠性模型分析[J].系统工程与电子技术,2017,39(11):2631-2636.WANG W,YIN D L,CHEN T.Analysis on reliability model of parallel system with a repairman taking multiple vacations[J].Systems Engineering and Electronics,2017,39(11):2631-2636(in Chinese).
[23]RUIZ-CASTRO J E.Preventive maintenance of a multistate device subject to internal failure and damage due to external shocks[J].IEEE Transactions on Reliability,2014,62(2):646-660.
[24]MONTORO C D,PREZO R.An LDQBD process under degradation,inspection,and two types of repair[J].European Journal of Operational Research,2008,190(2):494-508.
[25]HAGGSTROM O,ASMUSSEN S,NERMAN O.Empht-aprogram for fitting phase type distribution[R].Goteborg:Chalmers University of Technology,1992.