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高校应用数学学报
Applied Mathematics A Journal of Chinese Universities  2018, Vol. 33 Issue (2): 167-178    DOI:
    
Integrating a change-point control chart and maintenance policy for two-stage series repairable systems
ZHONG Jian-lan
School of Management & School of Tourism, Fujian Agriculture and Forestry Univ., Fuzhou 350002,China
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Abstract  For two-stage series repairable system, a change-point control chart is used to monitor
the system to reveal state of the system, and then the corresponding maintenance policy is carried
out. Firstly, a change-point control chart is given to monitor the multistage system. Secondly, the
possible scenarios and the probability of occurrence of each scenario are analyzed, assuming that
assignable causes may occur in both two-stage, which follow general distribution; and the probability
of the corresponding maintenance policy is obtained based on the scenarios. Thirdly, a procedure
for calculating average revenue is presented according to renew-reward theory. Then, a numerical
example is given to illustrate the application of the proposed integrated model. The results show
that the integrated model outperforms the maintenance model in terms of average revenue earning.
Finally, using fractional factor design, a sensitivity analysis is conducted to develop insights into input
parameters that in°uence the integration e?orts.

Key words： two-stage series repairable systems      change-point control chart      maintenance policy      renew-reward theory     
Published: 26 July 2018
CLC:  O213.1  
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ZHONG Jian-lan
Cite this article:

ZHONG Jian-lan. Integrating a change-point control chart and maintenance policy for two-stage series repairable systems. Applied Mathematics A Journal of Chinese Universities, 2018, 33(2): 167-178.

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http://www.zjujournals.com/amjcua/     OR     http://www.zjujournals.com/amjcua/Y2018/V33/I2/167


两阶段可修串联系统的变点控制图与维修策略整合研究

针对两阶段串联可修系统, 考虑系统的输出为多个质量特性且不同阶段均可
能出现异常的情形, 采用变点控制图监控系统, 揭示系统的状态并据此进行相应的维
护策略. 首先, 给出监控多阶段系统的变点控制图. 其次, 考虑两阶段过程均可能出现
异常因素的情形, 剖析过程演变可能的场景, 进一步假设异常因素的发生服从一般分
布, 给出每个场景发生的概率; 同时, 分析维修行为发生的概率. 再次, 根据更新报酬理
论构建变点控制图与维修策略整合的期望收益模型; 采用具体实例来比较分析所提出
的收益模型与单独的维修策略的收益模型, 其结果表明构建的模型的明显优势; 最后,
运用分式析因设计对模型输入参数进行了敏感性分析.

关键词： 串联可修系统,  变点控制图,  维修策略,  更新报酬理论 
[1] GUO Bao-cai, LI Min, XIANG Chao-hui, SUN Li-rong. Control charts for the monitoring of exponentially distributed characteristics based on type-II censored samples adjusted for parameter estimation[J]. Applied Mathematics A Journal of Chinese Universities, 2018, 33(1): 1-12.