[1] Gao Wenke, Zhang Zhisheng, Zhou Yifan, Gan Shuyuan, et al. Optimal quasi-periodic maintenance policiesfor two-unit series system [J]. Journal of Southeast University (English Edition), 2013, 29 (4): 450-455. [doi:10.3969/j.issn.1003-7985.2013.04.018]
Copy
Optimal quasi-periodic maintenance policiesfor two-unit series system(
)
两部件串联系统拟周期预防性维修策略优化
)Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]
- Volumn:
- 29
- Issue:
- 2013 4
- Page:
- 450-455
- Research Field:
- Mechanical Engineering
- Publishing date:
- 2013-12-20
Info
- Title:
- Optimal quasi-periodic maintenance policiesfor two-unit series system
- 两部件串联系统拟周期预防性维修策略优化
- Author(s):
- Gao Wenke; Zhang Zhisheng; Zhou Yifan; Gan Shuyuan
- School of Mechanical Engineering, Southeast University, Nanjing 211189, China
- Keywords:
- maintenance policy optimization; quasi-periodic preventive maintenance; two-unit series system
- PACS:
- TH17
- DOI:
- 10.3969/j.issn.1003-7985.2013.04.018
- Abstract:
- To investigate the effects of various random factors on the preventive maintenance(PM)decision-making of one type of two-unit series system, an optimal quasi-periodic PM policy is introduced. Assume that PM is perfect for unit 1 and only mechanical service for unit 2 in the model. PM activity is randomly performed according to a dynamic PM plan distributed in each implementation period. A replacement is determined based on the competing results of unplanned and planned replacements. The unplanned replacement is trigged by a catastrophic failure of unit 2, and the planned replacement is executed when the PM number reaches the threshold N. Through modeling and analysis, a solution algorithm for an optimal implementation period and the PM number is given, and optimal process and parametric sensitivity are provided by a numerical example. Results show that the implementation period should be decreased as soon as possible under the condition of meeting the needs of practice, which can increase mean operating time and decrease the long-run cost rate.
- 为研究多种随机因素对一类两部件串联系统预防性维修决策的影响, 提出一种拟周期预防性维修策略优化模型.假设预防性维修对部件1为完整修, 对部件2为保养, 预防性活动在实施区间内根据动态计划随机进行;意外更换和预防性更换的竞争结果决定系统的更换, 当部件2发生严重故障时引发系统的意外更换, 当预防性维修次数达到设定的阈值N时实施预防性更换.通过建模和优化分析, 给出了最优预防性维修实施区间和最佳维修次数的求解算法, 并通过数值案例对模型的优化过程和参数的敏感性做了说明.分析结果表明, 在满足实际生产需求的前提下, 尽可能地缩短实施区间能提高系统的平均运行时间和降低系统的长期运行成本率.
References:
[1] Wu S M. Reliability engineering [M]. London: Springer, 2011: 129-140.
[2] Nicolai R P, Dekker R. Optimal maintenance of multi-component systems: a review [R]. Rotterdam, Netherlands:Econometric Institute of Erasmus University Rotterdam, 2006.
[3] Zhang Y L, Wang G J. A geometric process repair model for a repairable cold standby system with priority in use and repair [J]. Reliability Engineering and System Safety, 2009, 94: 1782-1787.
[4] Hanagal D D, Kanade R A. Optimal replacement policies based on number of down times for cold standby system when the lifetime and the repair time are dependent [J]. Journal of Reliability and Statistical Studies, 2011, 4(1): 41-52.
[5] Castaniera B, Grallb A, Bérenguerb C. A condition-based maintenance policy with non-periodic inspections for a two-unit series system [J]. Reliability Engineering and System Safety, 2005, 87(1): 109-120.
[6] Nicolai R P, Dekker R. Complex system maintenance handbook [M]. London: Springer, 2008: 263-286.
[7] Gao W K, Zhang Z S, Zhou Y F, et al. Optimal combinatorial replacement policy under a given maintenance interval for the combined governor in diesel locomotives [J]. Eksploatacja i Niezawodnosc-Maintenance and Reliability, 2013, 15(2): 89-98.
[8] Kodo I, Toshio N. Optimal operation censoring policy of aircraft [C]//2012 Asia-Pacific International Symposium on Advanced Reliability and Maintenance Modeling. Nanjing, China, 2012: 184-191.
[9] Sheu S H, Kuo C M, Nagagawa T. Extended optimal age replacement policy with minimal repair [J]. RAIRO: Recherche Operationnelle, 1993, 27(3): 337-351.
[10] Castro I T, Sanjuan E L. An optimal maintenance policy for repairable systems with delayed repairs [J]. Operations Research Letters, 2008, 36(5): 561-564.
[11] Chen M. Optimal random replacement models with continuously processing jobs [J]. Applied Stochastic Models in Business and Industry, 2012, 29(2): 389-398.
[12] Gao W K, Zhang Z S, Zhou Y F, et al. Maintenance optimization for a system with an implemented range of replacement activities [C]//2013 International Conference on Quality, Reliability, Risk, Maintenance, and Safety Engineering. Chengdu, China, 2013: 394-398.
[13] Tsai Y T, Wang K S, Tsai L C. A study of availability-centered preventive maintenance for multi-component systems [J]. Reliability Engineering and System Safety, 2004, 84(3): 261-270.
[14] Lewis R M, Torczon V, Trosset M W. Direct search methods: then and now [J]. Journal of Computational and Applied Mathematics, 2000, 124(12): 191-207.
Memo
- Memo:
-
Biographies: Gao Wenke(1981—), male, graduate; Zhang Zhisheng(corresponding author), male, doctor, professor, oldbc@seu.edu.cn.
Foundation items: The National Natural Science Foundation of China(No.51275090, 71201025), the Program for Special Talent in Six Fields of Jiangsu Province(No.2008144), the Scientific Research Foundation of Graduate School of Southeast University(No.YBJJ1302), the Scientific Innovation Research of College Graduates in Jiangsu Province(No.CXLX12_0078).
Citation: Gao Wenke, Zhang Zhisheng, Zhou Yifan, et al. Optimal quasi-periodic maintenance policies for two-unit series system.[J].Journal of Southeast University(English Edition), 2013, 29(4):450-455.[doi:10.3969/j.issn.1003-7985.2013.04.018]