一种广义不完全维修情形下系统失效过程分析
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摘要
针对实际工作中无法通过维修手段让系统恢复如新,进而导致较难对系统的失效过程给予完美的刻画,Kijima在1989年提出一种与时间和维修次数相关的概念,并称之为虚拟寿命。虚拟寿命这一概念的运用,使得失效强度由虚拟寿命决定而不是系统实际运行的时间决定,基本想法是希望通过减少系统真实运行时间所得到的虚拟寿命去模拟系统的失效强度函数。文章讨论了如何将虚拟寿命这一想法与对数线性函数相融合去模拟一种广义的不完全维修情形下可修系统的失效过程,相应的参数估计和模型应用被详细讨论。
In the practical work,the system cannot be renewedbyrepairing,making it difficult to give the failure process of the system aperfectdescription.In 1989,Kijima proposes a concept related to time and the number of maintenance,which is called virtual life.The use of the concept of virtual lifemade the failure strength determined by the virtual life rather thanthe time of system operation.The basic idea is to simulate failure intensity functionofthe systemby reducing the real operationtime of the system. In the paper,how tocombinethe virtual life the idea and the integration of logarithm linear function to simulate a generalized imperfect maintenance situation of the failure process of the repairable systemis discussed,and the corresponding parameter estimation and model application are discussed in detail.
In the practical work,the system cannot be renewedbyrepairing,making it difficult to give the failure process of the system aperfectdescription.In 1989,Kijima proposes a concept related to time and the number of maintenance,which is called virtual life.The use of the concept of virtual lifemade the failure strength determined by the virtual life rather thanthe time of system operation.The basic idea is to simulate failure intensity functionofthe systemby reducing the real operationtime of the system. In the paper,how tocombinethe virtual life the idea and the integration of logarithm linear function to simulate a generalized imperfect maintenance situation of the failure process of the repairable systemis discussed,and the corresponding parameter estimation and model application are discussed in detail.
引文
[1]Jiang Yun-peng,Chen Mao-yin,Zhou Dong-hua.Joint optimization of preventive maintenance and inventory policies for muti-unit systems subject to deteriorating spare part inventory[J].Journal of Manufacturing Systems,2015,35:191-205.
[2]Michael Jong Kim,Viliam Makis,.Joint optimization of sampling and control of partially observable failing systems[J].Operations Research,2013,61(3).
[3]Byon E,Ntaimo L,Ding Y.Operation maintenance strategies for wind turbine systems under stochastic weather conditions[J].IEEE Transactions on Reliability,2010,59(2):393-404.
[4]王小林,程志君,郭波,郭驰名.基于冲击模型劣化系统的不完全维修决策[J].系统工程理论与实践,2011,31:2380-2386.
[5]Cox D.R.The statistical analysis of dependencies in point processes,in Stochastic Point Processes[M].New York:John Wiley,1972:55-66.
[6]Guo H,Liao H,Zhao W,et al.A new stochastic model for systems under general repairs[J].IEEE Transactions on Reliability,2007,56:40-49.
[7]Pulcini G.A bounded intensity process for the reliability of repairable equipment[J].Journal of Quality Technology,2001,33:480-492.
[8]Pham H,Wang H Z.Imperfect maintenance[J].European Journal of Operational Research,1996,94(3):425-438.
[9]曹晋华,程侃.可靠性数学引论[M].北京:科学出版社,2005.
[10]程侃.寿命分不类与可靠性数学理论[M].北京:科学出版社,1999.
[11]Lawless J F,Thiagarajah K.A point-process model incorporating renewals and time trends,with application to repairable systems[J].Technometics,1996,38:131-138.
[12]Kijima M.Some results for repairable systems with general repair[J].Journal of Applied Probability,1989,26:89-102.
[13]Monika Tanwar,Rajiv N.Rai,Nomesh Bolia.Imperfect repair modeling using Kijima type generalized Renewal process[J].Reliability Engineering and System Safety,2014,124:24-31.
[14]Gasmi S,Love C E,Kahle W.A general repair,proportional-hazards,framework to model complex repairable systems[J].IEEE Transactions on Reliability,2003,52:26-32.
[15]Yanez M,Joglar F,Modarres M.Generalized renewal process for analysis of repairable systems with limited failure experience[J].Reliability Engineering and System Safety,2002,77:167-180.
[2]Michael Jong Kim,Viliam Makis,.Joint optimization of sampling and control of partially observable failing systems[J].Operations Research,2013,61(3).
[3]Byon E,Ntaimo L,Ding Y.Operation maintenance strategies for wind turbine systems under stochastic weather conditions[J].IEEE Transactions on Reliability,2010,59(2):393-404.
[4]王小林,程志君,郭波,郭驰名.基于冲击模型劣化系统的不完全维修决策[J].系统工程理论与实践,2011,31:2380-2386.
[5]Cox D.R.The statistical analysis of dependencies in point processes,in Stochastic Point Processes[M].New York:John Wiley,1972:55-66.
[6]Guo H,Liao H,Zhao W,et al.A new stochastic model for systems under general repairs[J].IEEE Transactions on Reliability,2007,56:40-49.
[7]Pulcini G.A bounded intensity process for the reliability of repairable equipment[J].Journal of Quality Technology,2001,33:480-492.
[8]Pham H,Wang H Z.Imperfect maintenance[J].European Journal of Operational Research,1996,94(3):425-438.
[9]曹晋华,程侃.可靠性数学引论[M].北京:科学出版社,2005.
[10]程侃.寿命分不类与可靠性数学理论[M].北京:科学出版社,1999.
[11]Lawless J F,Thiagarajah K.A point-process model incorporating renewals and time trends,with application to repairable systems[J].Technometics,1996,38:131-138.
[12]Kijima M.Some results for repairable systems with general repair[J].Journal of Applied Probability,1989,26:89-102.
[13]Monika Tanwar,Rajiv N.Rai,Nomesh Bolia.Imperfect repair modeling using Kijima type generalized Renewal process[J].Reliability Engineering and System Safety,2014,124:24-31.
[14]Gasmi S,Love C E,Kahle W.A general repair,proportional-hazards,framework to model complex repairable systems[J].IEEE Transactions on Reliability,2003,52:26-32.
[15]Yanez M,Joglar F,Modarres M.Generalized renewal process for analysis of repairable systems with limited failure experience[J].Reliability Engineering and System Safety,2002,77:167-180.