固体力学与飞行器总体设计

多状态串并联系统结构与维修策略

  • 印明昂 ,
  • 孙志礼 ,
  • 王健 ,
  • 张禹
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  • 东北大学 机械工程与自动化学院, 沈阳 110004
印明昂,男,博士,讲师。主要研究方向:系统可靠性。Tel.:024-83687620,E-mail:yinma@me.neu.edu.cn;孙志礼,男,博士,教授,博士生导师。主要研究方向:可靠性。Tel.:024-83687620,E-mail:sunzhl@mail.neu.edu.cn

收稿日期: 2015-11-11

  修回日期: 2016-04-15

  网络出版日期: 2016-04-28

基金资助

国家自然科学基金(5120505);中央高校基本科研业务费专项资金(N140303010)

Structure and maintenance policy of a multi-state series-parallel system

  • YIN Ming'ang ,
  • SUN Zhili ,
  • WANG Jian ,
  • ZHANG Yu
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  • School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110004, China

Received date: 2015-11-11

  Revised date: 2016-04-15

  Online published: 2016-04-28

Supported by

National Natural Science Foundation of China (5120505); The Fundamental Research Funds for the Central Universities (N140303010)

摘要

为准确构建生产系统中系统结构与设备维修之间的关系,以串并联系统冗余分配问题(RAP)为基础,引入基于系统可靠性的机会维修策略与基于状态的检测间隔,建立了设备购置与维修费用最少为目标的系统结构与维修策略的联合模型,从而在保证系统生产效率和可用度的前提下,降低系统运行的总成本。利用半马尔可夫过程和通用生成函数(UGF)求解出系统在检测点上各状态的稳态概率、维修费用及可用度。通过算例表明,无论在系统设计之前还是在运行之后,将系统结构与维修策略综合考虑比分开考虑更具经济价值。

本文引用格式

印明昂 , 孙志礼 , 王健 , 张禹 . 多状态串并联系统结构与维修策略[J]. 航空学报, 2016 , 37(11) : 3395 -3403 . DOI: 10.7527/S1000-6893.2016.0122

Abstract

To construct the association between system structure and equipment maintenance in production system, based on redundancy allocation problems (RAP), the opportunistic maintenance policy and state-dependent inspection intervals based on system reliability were introduced to establish joint model of system structure and maintenance policy with minimum total cost of equipment purchasing and maintenance. On the premise of ensuring system production efficiency and availability, the total cost was reduced. Markov process and universal generating function (UGF) were used to solve the steady probability vectors at inspection points, maintenance cost and system availability. The computational examples indicate that it is more economical to comprehensively consider both system structure and maintenance policy than separately no matter before system design or after system operation.

参考文献

[1] 徐立, 李庆民, 李华. 考虑多类维修优先权的多级维修供应系统库存控制[J]. 航空学报, 2015, 36(4):1185-1194. XU L, LI Q M, LI H. Inventory control of multi-echelon maintenance supply system with multiple repair priorities[J]. Acta Aeronautica et Astronautica Sinica, 2015, 36(4):1185-1194(in Chinese).
[2] 王蕴, 王乃超, 马麟, 等. 考虑备件约束的多部件串联系统使用可用度计算方法[J]. 航空学报, 2015, 36(4):1195-1201. WANG Y, WANG N C, MA L, et al. Operational availability calculation methods of various series system under the constraint of spare part[J]. Acta Aeronautica et Astronautica Sinica, 2015, 36(4):1195-1201(in Chinese).
[3] KUO W, MING J Z. Optimal reliability modeling-principles and applications[M]. New York:John Wiley & Sons Inc., 2003.
[4] LIN M S, CHEN D J. The computational complexity of the reliability problem on distributed systems[J]. Information Processing Letters, 1997, 64(3):143-147.
[5] KUO W, WAN R. Recent advances in optimal reliability allocation[J]. IEEE Transactions on Systems, Man and Cybernetics Part A-Cybernetics, 2007, 37(2):143-156.
[6] SAMROUT M, CHATELET E, KOUTA R, et al. Optimization of maintenance policy using the proportional hazard model[J]. Reliability Engineering and System Safety, 2009, 94(1):44-52.
[7] NAHAS N, KHATAB A, AIT-KADI D, et al. Extended great deluge algorithm for the imperfect preventive maintenance optimization of multi-state systems[J]. Reliability Engineering and System Safety, 2008, 93(11):1658-1672.
[8] 张博文, 陆志强, 张岳君. 基于系统可靠性的生产与维护计划联合决策[J]. 计算机集成制造系统, 2015, 21(8):2079-2088. ZHANG B W, LU Z Q, ZHANG Y J. Joint model of production and maintenance planning based on system reliability[J]. Computer Integrated Manufacturing Systems, 2015, 21(8):2079-2088(in Chinese).
[9] MARSEGUERRA M, ZIO E, PODOFILLINI L. Condition-based maintenance optimization by means of genetic algorithms and Monte Carlo simulation[J]. Reliability Engineering and System Safety, 2002, 77(2):151-165.
[10] LIU Y, HUANG H Z. Optimization of multi-state elements replacement policy for multi-state systems[C]//Annual Reliability and Maintainability Symposium. Piscataway, NJ:IEEE Press, 2010:1-7.
[11] 狄鹏, 黎放, 陈童. 考虑不同维修效果的多状态可修系统可靠性模型[J]. 兵工学报, 2014, 35(9):1488-1494. DI P, LI F, CHEN T. Reliability model of multi-state repairable systems with different repair effects[J]. Acta Armamentarii, 2014, 35(9):1488-1494(in Chinese).
[12] LIU Y, HUANG H Z. Optimal replacement policy for multi-state system under imperfect maintenance[J]. IEEE Transactions on Reliability, 2010, 59(3):483-495.
[13] TAVARES N,GODINHO F. An ant colony optimization approach to a permutational flowshop scheduling problem with outsourcing allowed[J]. Computers and Operations Research, 2010, 38(9):1286-1293.
[14] MASSIM Y, ZEBLAH A, MEZIANE R, et al. Optimal design and reliability evaluation of multi-state series-parallel power systems[J]. Nonlinear Dynamics, 2005, 40(4):309-321.
[15] ZHOU Y F, ZHANG Z S, LIN T R, et al. Maintenance optimization of a multi-state series-parallel system considering economic dependence and state-dependent inspection intervals[J]. Reliability Engineering and System Safety, 2013, 111:248-259.
[16] USHAKOV I. The method of generalized generating sequences[J]. European Journal of Operational Research, 2000, 125(2):316-323.
[17] LEVITIN G. Universal generating function in reliability analysis and optimization[M]. New York:Springer-Verlag, 2005:25-48.
[18] LEVITIN G, LISNIANSKI A, ELMAKIS D. Structure optimization of power system with different redundant elements[J]. Electric Power Systems Research, 1997, 43(1):19-27.
[19] WANG Y, LI L. Heterogeneous redundancy allocation for series-parallel multi-state systems using hybrid particle swarm optimization and local search[J]. IEEE Transactions on Systems, Man, and Cybernetics, 2012, 42(2):464-474.
[20] LIU W D, ZHU H, WANG Y P. Topology optimization of support structure of telescope skin based on bit-matrix representation NSGA-II[J]. Chinese Journal of Aeronautics, 2013, 26(6):1422-1429.

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