δ-shock model for serial systems and optimization of maintenance strategy

被引：0
作者：
Cheng G. [1 ]
Li L. [2 ]
机构：
[1] College of Engineering Science and Technology, Shanghai Ocean University, Shanghai
[2] School of Statistics and Mathematics, Shanghai Lixin University of Accounting and Finance, Shanghai
来源：
Jisuanji Jicheng Zhizao Xitong/Computer Integrated Manufacturing Systems, CIMS | 2020年 / 26卷 / 09期
关键词：
Geometric process; Maintenance strategy; Optimization; Serial system; Δ-shock model;
D O I：
10.13196/j.cims.2020.09.012
中图分类号：
学科分类号：
摘要：
To solve the maintenance optimization problem of serial system's shock model, a repair-replacement model for serial systems was proposed which suffered δ-shocks. Under the assumption that the repair was imperfect, the long-run average cost rate of the system was derived by using the renewal reward theorem and the joint replacement policy based on the components' failure numbers. The existence of the optimal joint replacement policy was proved analytically and the corresponding algorithm was provided to obtain the optimal policy. A numerical experiment was given to illustrate the model. The sensitivity analysis revealed the relationship between the optimal joint policy of the system and the individual optimal policy of each component. © 2020, Editorial Department of CIMS. All right reserved.
引用
收藏
页码：2422 / 2428
页数：6
相关论文
共 18 条
  • [1] ZHAO Xian, WANG Siqi, WANG Xiaoyue, Et al., A multi-state shock model with mutative failure patterns, Reliability Engineering and System Safety, 178, 10, pp. 1-11, (2018)
  • [2] SHANTHIKUMAR J G, SUMITA U., General shock-models associated with correlated renewal sequences[J], Journal of Applied Probability, 20, 3, pp. 600-614, (1983)
  • [3] GUT A., Cumulative shock-models[J], Advances in Applied Probability, 22, 2, pp. 504-507, (1990)
  • [4] MALLOR F, OMEY E., Shocks, runs and random sums[J], Journal of Applied Probability, 38, 2, pp. 438-448, (2001)
  • [5] LI Z H, CHAN L Y, YUAN Z X., Failure time distribution under a δ-shock model and its application to economic design of system[J], International Journal of Reliability, Quality and Safety Engineering, 6, 3, pp. 237-247, (1999)
  • [6] MALLOR F, OMEY E, SANTOS J., Asymptotic results for a run and cumulative mixed shock model, Journal of Mathematical Sciences, 138, 1, pp. 5410-5414, (2006)
  • [7] WANG Guanjun, ZHANG Y L., A shock model with two-type failures and optimal replacement policy, International Journal of Systems Science, 36, 4, pp. 209-214, (2005)
  • [8] PARVARDEH A, BALAKRISHNAN N., On mixed δ-shock models[J], Statistics and Probability Letters, 102, C, pp. 51-60, (2015)
  • [9] RAFIEE K, FENG Qianmei, COIT D W., Reliability assessment of competing risks with generalized mixed shock models[J], Reliability Engineering and System Safety, 159, 3, pp. 1-11, (2017)
  • [10] LI Zehui, BAI Jianming, KONG Xinbing, Shock models:Advances and applications, Advances in Mathematics, 36, 4, pp. 385-398, (2007)
12