复杂退化系统的组合维修策略优化
收稿日期: 2014-03-27
修回日期: 2014-12-17
网络出版日期: 2015-03-31
基金资助
国防预研项目(51327020105, 51304010206)
Optimal combination maintenance strategy of deteriorating complex system
Received date: 2014-03-27
Revised date: 2014-12-17
Online published: 2015-03-31
Supported by
National Defence Pre-research Foundation (51327020105, 51304010206)
由于现有视情维修研究中没有考虑定期维护的影响,无法准确反映定期维护下的系统性能退化规律,因而不利于合理制定定期维护与视情维修组合的维修策略。针对该问题,重点开展了该组合维修策略下的性能退化建模与维修决策研究。通过结合组合维修策略下的性能退化特点,从失效机理出发,利用复合Poisson过程建立了性能退化模型,并通过退化强度函数描述了仅恢复累积性能退化量而不改变性能退化规律的维修效果。同时,分析了该条件下的可靠度函数,说明了其具有阶梯型变化和突变性的特性。基于性能退化模型,建立了长期运行条件下以费用率最低为目标、失效风险为约束的组合维修决策优化模型,并求解确定了最优维护周期和预防性维修阈值。通过数值分析,描述了费用率随维修策略值变化的规律,说明了优化解的存在性。同时,通过与系统自身寿命规律比较,说明采用该优化模型,可以有效地延长系统的使用时间,实时控制失效概率,确保其具有较高的安全等级,进而有效地降低维修费用。
关键词： 维修策略; 性能退化建模; 组合维修; 复合Poisson过程; 失效风险
李大伟 , 张志华 , 钟强晖 , 李万 . 复杂退化系统的组合维修策略优化[J]. 航空学报, 2015 , 36(3) : 872 -880 . DOI: 10.7527/S1000-6893.2014.0351
As the existing condition-based maintenance strategy does not consider the effect of scheduled servicing, the performance deteriorating law cannot be reflected exactly, which is not helpful to give a rational maintenance strategy which combines the scheduled servicing with condition-based maintenance. Aimed at this problem, the performance deteriorating rule and maintenance optimization model under combination maintenance strategy are analyzed deeply. The performance deteriorating model is established by composite Poisson process based on the deteriorating characteristic from the failure mechanism. It describes the maintenance effect of servicing by using intensity function which only restores the cumulative deteriorating values and doesn't have impact on the deteriorating law. And the reliability is also analyzed to obtain the peculiarity of ladder decrease and saltation. On the basis of it, the optimization model is given to determine the optimal servicing period and preventive maintenance thresholds, with an objective to minimize the system cost rate and build a constraint to failure risk. The numerical example demonstrates the cost rate rule with different maintenance strategy values. So the existence of optimal cost rate is proved. Compared with the lifetime, it also shows that the optimal maintenance strategy values can prolong system operational time and control the failure risk. So the system can have high safety grade and a great decrease on the maintenance cost.
[1] Won Y Y, Nakagawa T. Replacement and inspection policies for products with random life cycle[J]. Reliability Engineering & System Safety, 2010, 95(3): 161-165.
[2] Philip A S, Cristiano A V C. Hybrid block replacement and inspection policies for a multi-component system with heterogeneous component lives[J]. European Journal of Operational Research, 2010, 206(2): 384-394.
[3] Sheils E, Connor A O, Breysse D, et al. Development of a two-stage inspection process for the assessment of deteriorating infrastructure[J]. Reliability Engineering & System Safety, 2010, 95(3): 182-194.
[4] Lina L H, Roberto C Q. Integrating on-line process control and imperfect corrective maintenance: an economical design[J]. European Journal of Operational Research, 2012, 222(2): 253-262.
[5] Kallen M J, van Noortwijk J M. Optimal maintenance decisions under imperfect inspection[J]. Reliability Engineering & System Safety, 2005, 90(2): 177-185.
[6] Ge E S, Li Q M, Zhang G Y, et al. Optimization of condition-based maintenance for degradation systems under imperfect maintenance[J]. Acta Aeronautica et Astronautica Sinica, 2013, 34(2): 316-324 (in Chinese). 葛恩顺, 李庆民, 张光宇, 等. 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.
[7] Chen J W, Li K H, Lamb Y. Bayesian computation for geometric process in maintenance problems[J]. Mathematics and Computers in Simulation, 2010, 81(4): 771-781.
[8] van der Weide J A M, Pandey M D. Stochastic analysis of shock process and modeling of condition-based maintenance[J]. Reliability Engineering & System Safety, 2011, 96(6): 619-626.
[9] Rosmaini A, Shahrul K. An overview of time-based and condition-based maintenance in industrial application[J]. Computers and Industrial Engineering, 2012, 63(1): 135-149.
[10] Pham H, Wang H Z. Imperfect maintenance[J]. European Journal of Operational Research, 1996, 94(3): 425-438.
[11] Liu Y, Huang H Z. Optimal selective maintenance strategy for multi-state systems under imperfect maintenance[J]. IEEE Transactions on Reliability, 2010, 59(2): 356-367.
[12] Xia T B, Xi L F, Zhou X J, et al. Modeling and optimizing maintenance schedule for energy systems subject to degradation[J]. Computers and Industrial Engineering, 2012, 63(3): 607-614.
[13] Sheu S H, Li S H, Chang C C. A generalised maintenance policy with age-dependent minimal repair cost for a system subject to shocks under periodic overhaul[J]. International Journal of Systems Science, 2012, 43(6): 1007-1013.
[14] Wang X L, Cheng Z J, Guo B, et al. Imperfect maintenance decision for a deteriorating system based on shock model[J]. Systems Engineering-Theory & Practice, 2011, 31(12): 2380-2386 (in Chinese). 王小林, 程志君, 郭波, 等.基于冲击模型劣化系统的不完全维修决策[J].系统工程理论与实践, 2011,31(12):2380-2386.
[15] Zhang Y Q, Feng J, Liu Q, et al. Reliability analysis based on performance degradation model of compound Poisson-Normal process[J]. Systems Engineering and Electronics, 2006, 28(11): 1775-1778 (in Chinese). 张永强, 冯静, 刘琦, 等. 基于Poisson-Normal过程性能退化模型的可靠性分析[J].系统工程与电子技术, 2006, 28(11): 1775-1778.
[16] Li D W, Zhang Z H, Liu T H, et al. Product maintenance strategy research based on the scheduled servicing[J]. Acta Aeronautica et Astronautica Sinica, 2013, 34(5): 1101-1107 (in Chinese). 李大伟, 张志华, 刘天华, 等. 基于定期维护的产品维修策略研究[J]. 航空学报, 2013, 34(5): 1101-1107.
[17] Cha J H, Lee E Y. An extended stochastic failure model for a system subject to random shocks[J]. Operations Research Letters, 2010, 38(5): 468-473.
[18] Dinesh Kumar U, Knezevic J, Crocker J. Maintenance free operating period-an alternative measure to MTBF and failure rate for specifying reliability[J]. Reliability Engineering & System Safety, 1999, 64(1): 127-131.
[19] Li D W, Zhang Z H, Zhong Q H, et al. Performance deterioration modeling and optimal preventive maintenance strategy under scheduled servicing subject to mission time[J]. Chinese Journal of Aeronautics, 2014, 27(4): 821-828.
[20] Yan C L, Liu K G. Theory of economic life prediction and reliability assessment of aircraft structures[J]. Chinese Journal of Aeronautics, 2011, 24(2): 164-170.
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