基于状态空间分割的两部件系统机会维修优化

张晓红, 曾建潮

系统工程理论与实践 ›› 2015, Vol. 35 ›› Issue (6) : 1547-1560.

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系统工程理论与实践 ›› 2015, Vol. 35 ›› Issue (6) : 1547-1560. DOI: 10.12011/1000-6788(2015)6-1547
论文

基于状态空间分割的两部件系统机会维修优化

    张晓红1,2, 曾建潮1
作者信息 +

State space partition based optimization of the opportunistic preventive maintenance of two-unit systems

    ZHANG Xiao-hong1,2, ZENG Jian-chao1
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文章历史 +

摘要

针对"硬失效"故障的两部件串联系统, 制定了周期性视情预防更换、机会更换和故障更换相结合的维修策略, 提出了劣化状态空间分割方法以分析机会维修模型中系统的各种维修组合的维修概率, 并给出了系统稳态联合概率密度的数值近似求解方法. 应用该方法建立了基于半更新过程理论的系统长期平均费用率模型, 求解最优维修策略对应的检测周期、机会和预防维修阈值. 数值实验表明了劣化状态空间分割法和费用率模型的正确性和有效性, 分析了优化结果对各种费用参数的灵敏程度.

Abstract

A preventive-maintenance structure is presented for two-unit systems in series with random "hard failure", which combines periodic condition-based preventive replacement, opportunistic replacement and corrective replacement. Deterioration state space partition method is proposed to analyze all the possible maintenance group and their corresponding maintenance probabilities, and the approximate numerical solution for stationary joint probability density of the system deterioration states is derived. According to the proposed method, a long-term average cost model is established based on semi-renewal theory. The optimal inspection period of system, opportunities and preventive maintenance thresholds of each unit are jointly optimized for minimizing the cost rate. Numerical experiments are given, verifying the correctness of the proposed method and the performance of the maintenance strategy, and analyzing the influence of the cost parameters over the optimal results.

关键词

两部件串联系统 / "硬失效"故障 / 机会维修 / 劣化状态空间分割法 / 费用率

Key words

two-unit systems in series / random "hard failure" / opportunistic maintenance / deterioration state space partition method / the long-term average cost

引用本文

导出引用
张晓红 , 曾建潮. 基于状态空间分割的两部件系统机会维修优化. 系统工程理论与实践, 2015, 35(6): 1547-1560 https://doi.org/10.12011/1000-6788(2015)6-1547
ZHANG Xiao-hong , ZENG Jian-chao. State space partition based optimization of the opportunistic preventive maintenance of two-unit systems. Systems Engineering - Theory & Practice, 2015, 35(6): 1547-1560 https://doi.org/10.12011/1000-6788(2015)6-1547
中图分类号: TH165.3   

参考文献

[1] Barlow R, Hunter L. Optimum preventive maintenance policies[J]. Operations Research, 1960, 8(1): 90-100.
[2] Cho D I, Parlar M. A survey of maintenance models for multi-unit systems[J]. European Journal of Operational Research, 1991, 51(1): 1-23.
[3] Thomas L C. A survey of maintenance and replacement models for maintainability and reliability of multi-item systems[J]. Reliability Engineering, 1986, 16(4): 297-309.
[4] Dekker R, Wildeman R, Duyn Schouten F. A review of multi-component maintenance models with economic dependence[J]. Mathematical Methods of Operations Research, 1997, 45(3): 411-435.
[5] Nicolai R, Dekker R. Optimal maintenance of multi-component systems: A review[M]. Complex System Maintenance Handbook, Springer London, 2008: 263-286.
[6] Wang H. A survey of maintenance policies of deteriorating systems[J]. European Journal of Operational Research, 2002, 139(3): 469-489.
[7] Nowakowski T, Werbinka S. On problems of multicomponent system maintenance modelling[J]. International Journal of Automation and Computing, 2009, 6(4): 364-378.
[8] Castanier B, Grall A, Bérenguer C. A condition-based maintenance policy with non-periodic inspections for a two-unit series system[J]. Reliability Engineering & System Safety, 2005, 87(1): 109-120.
[9] Laggoune R, Chateauneuf A, Aissani D. Opportunistic policy for optimal preventive maintenance of a multi-component system in continuous operating units[J]. Computers & Chemical Engineering, 2009, 33(9): 1499-1510.
[10] Laggoune R, Chateauneuf A, Aissani D. Impact of few failure data on the opportunistic replacement policy for multi-component systems[J]. Reliability Engineering & System Safety, 2010, 95(2): 108-119.
[11] Laggoune R, Chateauneuf A, Aissani D. Preventive maintenance scheduling for a multi-component system with non-negligible replacement time[J]. International Journal of Systems Science, 2010, 41(7): 747-761.
[12] Moghaddam K S, Usher J S. Preventive maintenance and replacement scheduling for repairable and maintainable systems using dynamic programming[J]. Computers & Industrial Engineering, 2011, 60(4): 654-665.
[13] Tian Z, Liao H. Condition based maintenance optimization for multi-component systems using proportional hazards model[J]. Reliability Engineering & System Safety, 2011, 96(5): 581-589.
[14] Zhu Q, Peng H, van Houtum G J. A condition-based maintenance policy for multi-component systems with a high maintenance setup cost[R]. Netherlands: BETA Working Paper 400, Eindhoven University of Technology, 2012.
[15] 蔡景, 左洪福, 王华伟. 多部件系统的预防性维修优化模型研究[J]. 系统工程理论与实践, 2007, 27(2): 133-138. Cai Jing, Zuo Hongfu, Wang Huawei. A study on preventive maintenance optimization model for multi-unit system[J]. Systems Engineering —— Theory & Practice, 2007, 27(2): 133-138.
[16] Cai J.Zuo H F, Lu D F. Availability simulation of multi-component system based on opportunistic maintenance policy[J]. Transactions of Nanjing University of Aeronautics & Astronautics, 2009(3): 219-223.
[17] 程志君, 郭波. 多部件系统机会维修优化模型[J]. 工业工程, 2007(5): 66-69. Cheng Zhijun, Guo Bo. The optimal analysis of opportunistic maintenance model of multi-components system[J]. Industrial Engineering Journal, 2007(5): 66-69.
[18] 杨元, 黎放, 侯重远, 等. 基于相关性的多部件系统机会成组维修优化[J]. 计算机集成制造系统, 2012, 18(4): 827-832. Yang Yuan, Li Fang, Hou Chongyuan, et al. Opportunistic group maintenance optimization of multi-unit system under dependence[J]. Computer Integrated Manufacturing System, 2012, 18(4): 827-832.
[19] Eto H, Dohi T. Determining the optimal software rejuvenation schedule via semi-Markov decision process[J]. Journal of Computer Science, 2006, 2(6): 528-535.
[20] Wang L, Chu J, Mao W. A condition-based order-replacement policy for a single-unit system[J]. Applied Mathematical Modelling, 2008, 32(11): 2274-2289.
[21] Wang L, Chu J, Mao W. A condition-based replacement and spare provisioning policy for deteriorating systems with uncertain deterioration to failure[J]. European Journal of Operational Research, 2009, 194(1): 184-205.
[22] Zhou W, Wang D F, Sheng J Y, et al. Collaborative optimization of maintenance and spare ordering of continuously degrading systems[J]. Journal of Systems Engineering and Electronics, 2012, 23(1): 63-70.

基金

山西省回国留学人员科研资助项目(2013-089);山西省科技攻关项目(20130321006-01)

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