考虑不完全维修的劣化系统最优视情维修策略
收稿日期: 2012-03-12
修回日期: 2012-04-11
网络出版日期: 2012-04-16
基金资助
国防预研项目(51304010206,51327020105)
Optimization of Condition-based Maintenance for Degradation Systems Under Imperfect Maintenance
Received date: 2012-03-12
Revised date: 2012-04-11
Online published: 2012-04-16
Supported by
National Defense Pre-research Foundation of China (51304010206, 51327020105)
针对实际装备维修工程中系统不能"修如新"以及修后工作时间逐渐缩短的情况,基于Gamma过程建立劣化系统的视情维修(CBM)模型,以定期检测的方式获知系统状态。当系统劣化状态超过预定阈值时采取预防性维修,维修后系统恢复至"如新"与"如旧"之间的某一随机状态;经过若干次预防性维修后,当劣化状态再次超过维修阈值时则进行预防性更换;在对系统进行预防性维修或更换之前若发生劣化故障,则进行故障后更换;通过对检测周期和更换策略联合优化,使得系统长期运行费用率最低。最后通过算例说明CBM模型的可行性,并利用Monte Carlo算法仿真验证模型的正确性。
葛恩顺 , 李庆民 , 张光宇 , 杨美玲 . 考虑不完全维修的劣化系统最优视情维修策略[J]. 航空学报, 2013 , 34(2) : 316 -324 . DOI: 10.7527/S1000-6893.2013.0036
Focusing on the fact that a maintained system cannot as a rule be restored to a condition as good as new after the maintenance, and that its lifetime will be decreasing due to aging, a new condition-based maintenance (CBM) model under imperfect maintenance for a degradation system is developed based on the Gamma process. The system is periodically inspected. If the observed degradation level exceeds a threshold and if no failure occurs, a preventive maintenance is performed, which can restore the system to somewhere between as good as new and as old as bad. After several preventive maintenance actions, the degradation system should be replaced when the state exceeds the threshold again and if no failure occurs. A corrective replacement is performed when failure does occur. The joint optimization of inspection period and replacement policy is investigated for the minimization of system long run cost rate. The CBM model is analyzed through a numerical example, and the validity of the model is proved using Monte Carlo simulation method.
[1] Chen D, Trivedi K S. Closed-form analytical results for condition-based maintenance. Reliability Engineering and System Safety, 2002, 76(1): 43-51.
[2] Hosseini M M, Kerr R M, Randall R B. An inspection model with minimal and major maintenance for a system with deterioration and Poisson failures. IEEE Transactions on Reliability, 2000, 49(1): 88-98.
[3] Tomasevicz C L, Asgarpoor S. Optimum maintenance policy using semi-Markov decision processes. Electric Power Systems Research, 2009, 79(9): 1286-1291.
[4] Grall A, Dieulle L, Berenguer C, et al. Asymptotic failure rate of a continuously monitored system. Reliability Engineering and System Safety, 2006, 91(2): 126-130.
[5] Kallen M J, Noortwijk J M. Optimal periodic inspection of a deterioration process with sequential condition states. International Journal of Pressure Vessels and Piping, 2006, 83(4): 249-255.
[6] Pham H, Wang H. Imperfect maintenance. European Journal of Operational Research, 1996, 94(3): 425-438.
[7] Wang H. A survey of maintenance policies of deteriorating systems. European Journal of Operational Research, 2002, 139(3): 469-489.
[8] Cheng Z J, Gao D H, Huang Z, et al. Optimal analysis of the condition-based maintenance model under the imperfect repair. Systems Engineering and Electronics, 2006, 28(7): 1106-1108. (in Chinese) 程志君, 高大化, 黄卓, 等. 不完全维修条件下的视情维修优化模型. 系统工程与电子技术, 2006, 28(7): 1106-1108.
[9] Chiang J H, Yuan J. Optimal maintenance policy for a Markovian system under periodic inspection. Reliability Engineering and System Safety, 2001, 71(2): 165-172.
[10] Nicolai R P, Frenk J B, Dekker R. Modelling and optimizing imperfect maintenance of coatings on steel structures. Structural Safety, 2009, 31(3): 234-244.
[11] Newby M J, Barker C T. A bivariate process model for maintenance and inspection planning. International Journal of Pressure Vessels and Piping, 2006, 83(4): 270-275.
[12] Castanier B, Berenguer C, Grall A. A sequential condition-based repair/replacement policy with non-periodic inspections for a system subject to continuous wear. Applied Stochastic Models in Business and Industry, 2003, 19(4): 327-347.
[13] Liao H, Elsayed E A, Chan L Y. Maintenance of continuously monitored degrading systems. European Journal of Operational Research, 2006, 175(2): 821-835.
[14] Cheng Z J, Guo B. Optimal analysis of the condition-based maintenance model under the imperfect repair. Systems Engineering and Electronics, 2008,30(1):193-196. (in Chinese) 程志君, 郭波. 连续劣化系统的最佳检测与维修策略分析. 系统工程与电子技术, 2008, 30(1): 193-196.
[15] Noortwijk J M. A survey of the application of Gamma processes in maintenance. Reliability Engineering and System Safety, 2009, 94(1): 2-21.
[16] Huynh K T, Barros A, Berenguer C, et al. A periodic inspection and replacement policy for systems subject to competing failure modes due to degradation and traumatic events. Reliability Engineering and System Safety, 2011, 96(4): 497-508.
/
| 〈 |
|
〉 |
CJA