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| Analysis of cold standby system reliability model considering use and repair priority |
| XIE Jing-wei, LI Fang, CHEN Tong, YIN Dong-liang |
| Department of Management Engineering and Equipment Economics, Naval University of Engineering, Wuhan 430033, China |
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Abstract Aiming at the problems that the parts of the equipment system had different critical importance, taking the cold storage system of multi-components with use and repair priority as the research object, a more generalized system reliability model was established by using the more applicability phase-type (PH) distribution instead of the exponential distribution and Weibull distribution in the reliability modeling to describe the service life and repair time of system components. By using matrix analysis method, the analytical expressions of the reliability function, steady state availability and mean up-time and mean down-time of the system were obtained. The example was used to verify the applicability of the model, and the influence of the number of spare parts on the system reliability index was discussed. The results showed that the reliability modeling of the cold storage system with use and repair priority using the PH distribution not only had good analytical properties, but also could effectively ensure the applicability of the model, which had good application value in engineering practice.
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Received: 13 November 2017
Published: 28 June 2018
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考虑使用与维修优先权的冷贮备系统可靠性模型分析
针对装备系统中部件关键重要程度不同的情况，以具有使用与维修优先权的多部件冷贮备系统为研究对象，利用适用性较强的phase-type（PH）分布代替以往在可靠性建模中采取的指数分布、Weibull分布等典型分布，统一描述了系统各部件的寿命和维修时间，并建立了通用性更好的系统可靠性模型。在模型解析过程中，采用矩阵解析方法，获得了系统的可靠度函数、稳态可用度以及系统平均开工时间、平均停工时间等工程实践中常用的系统可靠性指标解析表达式，并利用算例验证了模型的适用性，讨论了贮备部件数量对系统可靠性指标的影响。研究结果表明，利用PH分布对具有使用和维修优先权的冷贮备系统进行可靠性解析建模，不仅具有良好的解析特性，而且能够有效地保证模型的适用性，在工程实践中具有良好的应用价值。
关键词：
优先权,
冷贮备系统,
phase-type分布,
可靠性
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| [[1]] |
LAM Y. A maintenance model for two-unit redundant system[J]. Microelectronics and Reliability, 1997, 37(3):497-504.
|
|
|
| [[2]] |
ZHANG Y L, WANG G. A deteriorating cold standby repairable system with priority in use[J]. European Journal of Operational Research, 2007, 183(1):278-295.
|
|
|
| [[3]] |
LEUNG K N, ZHANG Y L, LAI K K. Analysis for a two dissimilar-component cold standby repairable system with repair priority[J]. Reliability Engineering and System Safety, 2011, 96(11):1542-1551.
|
|
|
| [[4]] |
曹晋华,程侃.可靠性数学引论[M].北京:高等教育出版社,2006:243-245. CAO Jin-hua, CHENG Kan. An introduction to mathematical of reliability[M]. Beijing:Higher Education Press, 2006:243-245.
|
|
|
| [[5]] |
NAKAGAWA T, OSAKI S. Stochastic behaviour of a two-unit priority standby redundant system with repair[J]. Microelectronics Reliability, 1975, 14(3):309-313.
|
|
|
| [[6]] |
贾鹏茹,孟宪云,张晓爽,等.有优先权且有两不同修理设备的两部件冷贮备可修系统的可靠性分析[J].数学的实践与认识,2010,40(10):187-192. JIA Peng-ru, MENG Xian-yun, ZHANG Xiao-shuang, et al. Reliability analysis of cold standby repairable of two components with priority of work and maintenance[J]. Journal of Mathematics in Practice and Theory, 2010, 40(10):187-192.
|
|
|
| [[7]] |
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.
|
|
|
| [[8]] |
FADDY M J. Phase-type distributions for failure times[J]. Mathematical and Computer Modelling, 1995, 22(10/12):63-70.
|
|
|
| [[9]] |
MONTORO-CAZORLA D, PÉREZ-OCÓNB R. A deteriorating two-system with two repair modes and sojourn times phase-type distributed[J]. Reliability Engineering and System Safety, 2006, 91(1):1-9.
|
|
|
| [[10]] |
LIU B L,CUI L R,WEN Y Q, et al. A cold standby repairable system with the repairman having multiple vacations and operational, repair, and vacation times following phase-type distributions[J]. Communications in Statistics-Theory and Methods, 2016, 45(4):850-858.
|
|
|
| [[11]] |
陈童,黎放,狄鹏.基于PH分布的n中取k系统可靠性模型研究[J].系统工程理论与实践,2015,35(1):260-266. CHEN Tong, LI Fang, DI Peng. The reliability analysis of k-out-of-n system based on phase-type distribution[J]. Systems Engineering Theory and Practice, 2015, 35(1):260-266.
|
|
|
| [[12]] |
RIASCOS-OCHOA J, SANCHEZ-SILVA M, AKHAVAN-TABATAEI R. Reliability analysis of shock-based deterioration using phase-type distributions[J]. Probabilistic Engineering Mechanics, 2014, 38:88-101.
|
|
|
| [[13]] |
狄鹏.基于PH分布的舰船装备多状态系统可靠性模型研究[D].武汉:海军工程大学管理工程系,2014:7-11. DI Peng. Research on reliability for warship armament multi-state system on phase-type distribution[D]. Wuhan:Naval University of Engineering, Department of Management Engineering, 2014:7-11.
|
|
|
| [[14]] |
HE Qi-ming. Fundamentals of matrix-analytic methods[M]. London:Springer, 2013:10-22.
|
|
|
| [[15]] |
田乃硕.休假随机服务系统[M].北京:北京大学出版社,2001:5-7. TIAN Nai-shuo. Stochastic service system with vacation policies[M]. Beijing:Peking University Press, 2011:5-7.
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