Opportunistic Maintenance Strategy for Complex Two-dimensional Warranty Equipment Considering Failure Correlation

Enzhi DONG; Zhonghua CHENG; Rongcai WANG; Xiaona ZHANG; Yuexing ZHANG; Weiyi WU; Shuai YUE

doi:10.12382/bgxb.2022.0101

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Opportunistic Maintenance Strategy for Complex Two-dimensional Warranty Equipment Considering Failure Correlation

更新时间：2025-08-18

- Opportunistic Maintenance Strategy for Complex Two-dimensional Warranty Equipment Considering Failure Correlation
- Acta Armamentarii Vol. 44, Issue 6, Pages: 1688-1703(2023)
- 作者机构：
  
  1. 陆军工程大学石家庄校区, 河北石家庄 050003
  2. 河北省机械装备状态监测与评估重点实验室, 河北石家庄 050003
  3. 陆军研究院陆军建设发展研究所, 北京 100012
  4. 94295部队, 山东济南 250000
- 作者简介：
- 基金信息：
- DOI：10.12382/bgxb.2022.0101
  CLC：
- Received：21 February 2022，
  
  Published Online：19 July 2023，
  
  Published：30 June 2023
- 稿件说明：
移动端阅览
Enzhi DONG, Zhonghua CHENG, Rongcai WANG, et al. Opportunistic Maintenance Strategy for Complex Two-dimensional Warranty Equipment Considering Failure Correlation[J]. Acta Armamentarii, 2023, 44(6): 1688-1703.
DOI：

Enzhi DONG, Zhonghua CHENG, Rongcai WANG, et al. Opportunistic Maintenance Strategy for Complex Two-dimensional Warranty Equipment Considering Failure Correlation[J]. Acta Armamentarii, 2023, 44(6): 1688-1703. DOI： 10.12382/bgxb.2022.0101.

摘要

针对保修期内孤立地对各单部件进行维修降低装备可用度、增加装备保修成本的问题

结合复杂装备的特点和二维保修现状

以保修期内的装备可用度为主要定量化分析指标

探索最优的多部件系统机会维修策略。以多部件系统故障相关性分析为基础

结合各单部件预防性维修计划

运用机会维修策略

通过引入机会维修时可靠性阈值

将各单部件预防性维修工作组合优化

建立了多部件系统二维保修可用度模型。算例分析中

运用遗传算法求出某新型装甲突击车动力系统最优机会维修策略。对比分析结果表明:机会维修策略将动力系统可用度提高10%、保修成本降低9.3%

充分验证了机会维修策略的有效性

提升了装备维修保障的军事和经济效益;该策略可为二维保修服务下多部件系统机会维修策略的制订提供科学依据与定量化分析方法。

Abstract

To address the problem that isolated maintenance to individual components during the warranty period reduces equipment availability and increases equipment warranty costs

the optimal opportunistic maintenance strategy for multi-component systems is explored by combining the characteristics of complex equipment and the current situation of two-dimensional warranty

with the availability of equipment during the warranty period as the main quantitative analysis index. Based on the failure correlation analysis of the multi-component system

the opportunistic maintenance strategy is applied in combination with the preventive maintenance plan of each single component

and the two-dimensional warranty availability model of the multi-component system is established by introducing the reliability threshold at the time of opportunistic maintenance and optimizing the combined preventive maintenance work of each single component. In the case analysis

the genetic algorithm is used to find the optimal opportunistic maintenance strategy for a new armored assault vehicle power system. The results of the comparative analysis show that the opportunistic maintenance strategy increases the power system availability by 10% and reduces the warranty cost by 9.3%

which fully verifies the effectiveness of the strategy and improves the military and economic benefits of equipment maintenance and support. This strategy can provide a scientific basis and quantitative analysis method for the development of the opportunistic maintenance strategy for multi-component systems using two-dimensional warranty service.

关键词

Keywords

references

张怀强 , 李铁成 , 杜军岗 . 舰载导弹系统故障率及保修期模型优化 [J ] . 系统工程与电子技术 , 2022 , 44 ( 1 ): 347 - 356 . DOI: 10.12305/j.issn.1001-506X.2022.01.43 http://doi.org/10.12305/j.issn.1001-506X.2022.01.43 保修期是国际可靠性领域的前沿研究。基于海军舰载导弹系统入役初期现状及装备保修研究领域特点, 论证了对舰载导弹系统故障规律定量化建模研究的必要性, 利用实例现场数据, 使用线性回归拟合发现舰载导弹系统故障规律更近似于二参数威布尔分布, 并求出舰载导弹系统故障率函数及参数。分别创建了确定舰载导弹系统全局最优保修期模型与公平保修期模型, 利用实例现场数据对模型求解, 得出的全局最优保修期与公平保修期均达到建模及研究目标, 可为海军与承制方协商调整优化舰载导弹系统初始保修期提供参考, 推进舰载导弹系统保修研究与制度改革。

ZHANG H Q , LI T C , DU J G . Optimization of failure rate and warranty period model of shipborne missile system [J ] . Systems Engineering and Electronics , 2022 , 44 ( 1 ): 347 - 356 . (in Chinese)

王双川 , 贾希胜 , 胡起伟 , 等 . 考虑随机共因失效的战时合成部队任务成功概率仿真评估 [J ] . 兵工学报 , 2021 , 42 ( 1 ): 199 - 208 . DOI: 10.3969/j.issn.1000-1093.2021.01.023 http://doi.org/10.3969/j.issn.1000-1093.2021.01.023 共因失效是装备遂行作战任务过程中存在的一种常见现象，是影响战时装备任务成功概率的重要因素。分析合成部队装备层次结构，构建合成部队作战任务剖面，并对合成部队装备共因失效和维修保障特点进行分析；以合成部队进攻阶段任务为研究对象，提出合成部队任务成功要求；充分考虑随机共因失效、多种类装备、多作战单元协同作战、随机任务时间、换件修理时间等复杂因素对战时合成部队任务成功性的影响，建立基于蒙特卡洛方法的合成部队作战任务成功概率仿真评估模型；通过算例，验证仿真模型的可行性和有效性。研究结果表明：所建模型能够用于战时合成部队任务成功概率评估和作战任务时间的规划；合理配置各类备件的携行数量，可以提升战时合成部队任务成功概率。

WANG S C , JIA X S , HU Q W , et al . Simulation evaluation of mission success probability of wartime synthetic force considering random common cause failure [J ] . Acta Armamentarii , 2021 , 42 ( 1 ): 199 - 208 . (in Chinese)

程中华 , 王谦 , 白永生 , 等 . 二维保修装备可用度优化模型 [J ] . 装甲兵工程学院学报 , 2019 , 33 ( 3 ): 34 - 39 .

CHENG Z H , WANG Q , BAI Y S , et al . Two dimensional warranty equipment availability optimization model [J ] . Journal of Armored Forces Engineering College , 2019 , 33 ( 3 ): 34 - 39 . (in Chinese)

李欣玥 , 高勇民 , 王维强 , 等 . 基于二维工龄更换的保修服务优化研究 [J ] . 航空科学技术 , 2017 , 28 ( 10 ): 66 - 72 .

LI X Y , GAO Y M , WANG W Q , et al . Research on warranty service optimization based on two-dimensional length of service replacement [J ] . Aviation science and technology , 2017 , 28 ( 10 ): 66 - 72 . (in Chinese)

李军亮 , 陈跃良 , 张勇 , 等 . 基于可用度的预防性维修间隔优化综述 [J ] . 系统工程理论与实践 , 2021 , 41 ( 6 ): 1611 - 1624 . DOI: 10.12011/SETP2019-1645 http://doi.org/10.12011/SETP2019-1645 预防性维修是可修装备的主要维修方式之一，预防性维修间隔的决策涉及到装备的可靠性、维修性和保障成本等多重因素，是装备设计、生产、使用和保障部门共同关心和亟待解决的重要问题.可用度是衡量装备完好性的顶层指标，可反映出装备可靠性、维修性和保障性等多种通用质量特性.全面梳理了基于可用度的可修装备预防性维修间隔优化的现状，重点总结了可用度建模的基本要素、建模方法以及基于可用度的预防性维修间隔优化等方面的研究成果，分析了该领域未来的发展趋势和研究挑战.对复杂可修装备在全寿命周期内的预防性维修间隔决策有一定的指导意义.

LI J L , CHEN Y L , ZHANG Y , et al . Overview of preventive maintenance interval optimization based on availability [J ] . System engineering theory and practice , 2021 , 41 ( 6 ): 1611 - 1624 . (in Chinese)

WANG X L , XIE W . Two-dimensional warranty: a literature review [J ] . Journal of Risk and Reliability , 2018 , 232 ( 1 ): 1 - 15 .

李龙辉 , 刘子先 , 张兆民 , 等 . 考虑预防性维护的二维基础质保策略与价格联合优化 [J/OL ] . 计算机集成制造系统 (2021-09-11)[2022-04-07 ] . http://kns.cnki.net/kcms/detail/11.5946.TP.20210831.1822.009.html. http://kns.cnki.net/kcms/detail/11.5946.TP.20210831.1822.009.html http://kns.cnki.net/kcms/detail/11.5946.TP.20210831.1822.009.html

LI L H , LIU Z X , ZHANG Z M , et al . Two dimensional basic quality assurance strategy and price joint optimization considering preventive maintenance [J/OL ] . Computer integrated manufacturing system (2021-09-11)[2022-04-07 ] . http:// kns.cnki.net/kcms/detail/11.5946.TP.20210831.1822.009.html. http://kns.cnki.net/kcms/detail/11.5946.TP.20210831.1822.009.html http://kns.cnki.net/kcms/detail/11.5946.TP.20210831.1822.009.html (in Chinese)

苏春 , 赵家彬 . 基于产品使用率的柔性基本质保策略优化设计 [J ] . 上海交通大学学报 , 2020 , 54 ( 11 ): 1182 - 1188 .

SU C , ZHAO J B . Optimal design of flexible basic quality assurance strategy based on product utilization [J ] . Journal of Shanghai Jiaotong University , 2020 , 54 ( 11 ): 1182 - 1188 . (in Chinese)

TALEIZADEH A A , MOKHTARZADEH M . Pricing and two-dimensional warranty policy of multi-products with online and offline channels using a value-at-risk approach [J ] . Computers & Industrial Engineering , 2020 , 148 : 106674 . DOI: 10.1016/j.cie.2020.106674 http://doi.org/10.1016/j.cie.2020.106674 https://linkinghub.elsevier.com/retrieve/pii/S0360835220304083 https://linkinghub.elsevier.com/retrieve/pii/S0360835220304083

WANG X L , SU C . A two-dimensional preventive maintenance strategy for items sold with warranty [J ] . International Journal of Production Research , 2016 , 54 ( 9 ): 5901 - 5915 . DOI: 10.1080/00207543.2016.1187314 http://doi.org/10.1080/00207543.2016.1187314 https://www.tandfonline.com/doi/full/10.1080/00207543.2016.1187314 https://www.tandfonline.com/doi/full/10.1080/00207543.2016.1187314

WANG R C , CHENG Z H , WANG Q . Research on availability model of two-dimensional warranty products based on incomplete maintenance [J ] . IOP Conference Series: Materials Science and Engineering , 2021 , 1043 ( 3 ): 1 - 12 .

WANG R C , CHENG Z H , RONG L Q , et al . Availability optimization of two-dimensional warranty products under imperfect preventive maintenance [J ] . IEEE Access , 2021 , 9 : 8099 - 8109 . DOI: 10.1109/Access.6287639 http://doi.org/10.1109/Access.6287639 https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639 https://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6287639

HUANG Y S , HUANG C D , HO J W . A customized two-dimensional extended warranty with preventive maintenance [J ] . European Journal of Operations Research , 2017 , 257 ( 3 ): 971 - 978 . DOI: 10.1016/j.ejor.2016.07.034 http://doi.org/10.1016/j.ejor.2016.07.034 https://linkinghub.elsevier.com/retrieve/pii/S0377221716305719 https://linkinghub.elsevier.com/retrieve/pii/S0377221716305719

TONG P , SONG X F , LIU Z X . A maintenance strategy for two-dimensional extended warranty based on dynamic usage rate [J ] . International Journal of Production Research , 2017 , 55 ( 19 ): 5743 - 5759 . DOI: 10.1080/00207543.2017.1330573 http://doi.org/10.1080/00207543.2017.1330573 https://www.tandfonline.com/doi/full/10.1080/00207543.2017.1330573 https://www.tandfonline.com/doi/full/10.1080/00207543.2017.1330573

SU C , WANG X L . A two-stage preventive maintenance optimization model incorporating two-dimensional extended warranty [J ] . Reliability Engineering& System Safety , 2016 , 155 : 169 - 178 .

WANG D F , HE Z , HE S G , et al . Dynamic pricing of two-dimensional extended warranty considering the impacts of product price fluctuations and repair learning [J ] . Reliability Engineering & System Safety , 2021 , 210 : 107516 . DOI: 10.1016/j.ress.2021.107516 http://doi.org/10.1016/j.ress.2021.107516 https://linkinghub.elsevier.com/retrieve/pii/S0951832021000776 https://linkinghub.elsevier.com/retrieve/pii/S0951832021000776

SHAHANAGHI K , NOOROSSANA R , JALALI-NAINI S G , et al . Failure modeling and optimizing preventive maintenance strategy during two-dimensional extended warranty contracts [J ] . Engineering Failure Analysis , 2013 , 28 : 90 - 102 . DOI: 10.1016/j.engfailanal.2012.09.006 http://doi.org/10.1016/j.engfailanal.2012.09.006 https://linkinghub.elsevier.com/retrieve/pii/S1350630712001926 https://linkinghub.elsevier.com/retrieve/pii/S1350630712001926

MITRA A . Warranty parameters for extended two-dimensional warranties incorporating consumer preferences [J ] . European Journal of Operations Research , 2021 , 291 : 525 - 535 . DOI: 10.1016/j.ejor.2019.12.035 http://doi.org/10.1016/j.ejor.2019.12.035 https://linkinghub.elsevier.com/retrieve/pii/S0377221719310756 https://linkinghub.elsevier.com/retrieve/pii/S0377221719310756

PENG W , ZHANG X L , HUANG H Z . A failure rate interaction model for two-component systems based on copula function with shock damage interaction [J ] . Journal of Risk and Reliability , 2016 , 230 ( 3 ): 278 - 284 .

SUN Y . Reliability prediction of complex repairable systems: an engineering approach [D ] . Queensland : Queensland University of Technology , 2006 .

SUN Y , MA L , MATHEW J , et al . An analytical model for interactive failures [J ] . Reliability Engineering and System Safety , 2005 , 91 ( 5 ): 495 - 504 . DOI: 10.1016/j.ress.2005.03.014 http://doi.org/10.1016/j.ress.2005.03.014 https://linkinghub.elsevier.com/retrieve/pii/S0951832005001018 https://linkinghub.elsevier.com/retrieve/pii/S0951832005001018

ZHANG N , FOULADIRAD M , BARROS A , et al . Condition-based maintenance for a K -out-of- N deteriorating system under periodic inspection with failure dependence [J ] . European Journal of Operational Research , 2020 , 287 ( 1 ): 159 - 167 . DOI: 10.1016/j.ejor.2020.04.041 http://doi.org/10.1016/j.ejor.2020.04.041 https://linkinghub.elsevier.com/retrieve/pii/S0377221720303945 https://linkinghub.elsevier.com/retrieve/pii/S0377221720303945

韩思远 . 考虑故障相关的双馈风电机组状态机会维修策略研究 [D ] . 兰州 : 兰州交通大学 , 2017 .

HAN S Y . Research on condition based opportunistic maintenance strategy of doubly fed wind turbine considering fault correlation [D ] . Lanzhou : Lanzhou Jiaotong University , 2017 . (in Chinese)

钱倩 , 蒋祖华 . 考虑预防维修时间及相关性的多部件系统维护策略 [J ] . 工业工程 , 2020 , 23 ( 6 ): 95 - 100 .

QIAN Q , JIANG Z H . Preventive maintenance strategy and maintenance time of multi-component system [J ] . Industrial Engineering , 2020 , 23 ( 6 ): 95 - 100 . (in Chinese)

王红 , 杜维鑫 , 刘志龙 , 等 . 联合故障与经济相关性的动车组多部件系统维护 [J ] . 上海交通大学学报 , 2016 , 50 ( 5 ): 660 - 667 .

WANG H , DU W X , LIU Z L , et al . Multi component system maintenance of EMU based on joint fault and economic correlation [J ] . Journal of Shanghai Jiaotong University , 2016 , 50 ( 5 ): 660 - 667 . (in Chinese)

BERG M . Optimal replacement policies for two-unit machines with increasing running costs 1 [J ] . Stochastic Processes and their Applications , 1976 , 4 ( 1 ): 89 - 106 . DOI: 10.1016/0304-4149(76)90028-4 http://doi.org/10.1016/0304-4149(76)90028-4 https://linkinghub.elsevier.com/retrieve/pii/0304414976900284 https://linkinghub.elsevier.com/retrieve/pii/0304414976900284

van der DUYN SCHOUTEN F A , VANNESTE S G . Analysis and computation of ( n , N )—strategies for maintenance of a two-components system [J ] . European Journal of Operational Research , 1990 , 48 ( 2 ): 260 - 274 . DOI: 10.1016/0377-2217(90)90379-P http://doi.org/10.1016/0377-2217(90)90379-P https://linkinghub.elsevier.com/retrieve/pii/037722179090379P https://linkinghub.elsevier.com/retrieve/pii/037722179090379P

ZHENG X , FARD N . Hazard-rate tolerance method for an opportunistic replacement policy [J ] . IEEE Transactions on Reliability , 1992 , 41 ( 1 ): 13 - 20 . DOI: 10.1109/24.126664 http://doi.org/10.1109/24.126664 http://ieeexplore.ieee.org/document/126664/ http://ieeexplore.ieee.org/document/126664/

CALDEIRA DUARTE J A C , CRAVEIRO J C T A , TRIGO T P . Optimisation of the preventive maintenance plan of a series components system [J ] . International Journal of Pressure Vessels and Piping , 2006 , 83 ( 4 ): 244 - 248 . DOI: 10.1016/j.ijpvp.2006.02.016 http://doi.org/10.1016/j.ijpvp.2006.02.016 https://linkinghub.elsevier.com/retrieve/pii/S030801610600024X https://linkinghub.elsevier.com/retrieve/pii/S030801610600024X

LAGGOUNEA R , CHATEAUNEUFB A , AISSANIA D . Opportunistic policy for optimal preventive maintenance of a multi-component system in continuous operating units [J ] . Computers and Chemical Engineering , 2009 , 33 ( 9 ): 1499 - 1510 . DOI: 10.1016/j.compchemeng.2009.03.003 http://doi.org/10.1016/j.compchemeng.2009.03.003 https://linkinghub.elsevier.com/retrieve/pii/S0098135409000696 https://linkinghub.elsevier.com/retrieve/pii/S0098135409000696

苏春 , 陈武 . 基于滚动窗口方法的风力机动态机会维修优化 [J ] . 机械工程学报 , 2014 , 50 ( 14 ): 62 - 68 . 以由多个部件组成的风力机为对象，针对此类系统存在的维护困难、停机损失大等特点，研究多部件系统动态机会维修优化问题。采用役龄回退因子描述部件不完全维修效果，在定义故障率函数的基础上建立单部件不完全维修平均成本模型；考虑预防性维修、最小维修和停机损失等维修成本，根据部件维修活动之间的经济相关性，以节省的总机会维修成本最大为目标，研究预防性维修活动安排，构建有限时间内多部件系统机会维修决策模型；考虑到风力机运行环境的严酷性和动态性，采用滚动窗口方法完成维修活动的动态调度，以随机停机事件作为风力机成组维修的机会，并动态更新原有的维修计划。以某风力机齿轮箱、转子、发电机和轴承等四个关键部件的维修决策为例，完成案例研究。研究结果表明，该模型能够实时更新风力机系统维修计划，实现维修活动的动态优化，有效地降低维修成本。

SU C , CHEN W . Dynamic opportunistic maintenance optimization of wind turbine based on rolling window method [J ] . Journal of Mechanical Engineering , 2014 , 50 ( 14 ): 62 - 68 . (in Chinese)

薛朝改 , 谷雨 , 曹武军 , 等 . 多部件重要度系统机会维修策略的优化 [J ] . 机械设计与制造 , 2022 ( 2 ): 116 - 119 .

XUE C G , GU Y , CAO W J , et al . Optimization of opportunistic maintenance strategy for multi component importance system [J ] . Mechanical Design and Manufacturing , 2022 ( 2 ): 116 - 119 . (in Chinese)

YUN W Y , KANG K M . Imperfect repair policies under two-dimensional warranty [J ] . Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability , 2007 , 221 ( 4 ): 239 - 247 . DOI: 10.1243/1748006XJRR55 http://doi.org/10.1243/1748006XJRR55 http://journals.sagepub.com/doi/10.1243/1748006XJRR55 http://journals.sagepub.com/doi/10.1243/1748006XJRR55 For repairable items, the manufacturer is required to rectify all item failures through minimal repair, replacement, and imperfect repair should failures occur within the period specified in the warranty. In this paper, a new warranty servicing strategy is examined, considering imperfect repair with a two-dimensional warranty where the failed item is imperfectly repaired when it fails for the first time in a specified period of the warranty and all other failures are repaired minimally. The optimal servicing strategy is obtained to minimize the total expected warranty servicing cost. The proposed repair policy is compared numerically with existing strategies reported in the literature.

MALIK M A K . Reliable Preventive Maintenance Policy [J ] . AIIE Transactions , 1979 , 11 ( 3 ): 221 - 228 . DOI: 10.1080/05695557908974463 http://doi.org/10.1080/05695557908974463 http://www.tandfonline.com/doi/abs/10.1080/05695557908974463 http://www.tandfonline.com/doi/abs/10.1080/05695557908974463

NAKAGAWA T . Sequential imperfect preventive maintenance policies [J ] . IEEE Transactions on Reliability , 1988 , 37 ( 3 ): 295 - 298 . DOI: 10.1109/24.3758 http://doi.org/10.1109/24.3758 http://ieeexplore.ieee.org/document/3758/ http://ieeexplore.ieee.org/document/3758/

杨国军 , 王红 , 何勇 , 等 . 故障及经济相关下动车组系统动态成组维护策略 [J ] . 铁道科学与工程学报 , 2021 , 18 ( 1 ): 31 - 37 .

YANG G J , WANG H , HE Y , et al . Dynamic group maintenance strategy of EMU system under fault and economic correlation [J ] . Journal of Railway Science and Engineering , 2021 , 18 ( 1 ): 31 - 37 . (in Chinese)

董方岐 , 刘子先 , 郝剑虹 , 等 . 考虑预防性维修的二维质保期设计与优化研究 [J ] . 工业工程与管理 , 2019 , 24 ( 4 ): 64 - 71 .

DONG F Q , LIU Z X , HAO J H , et al . Research on design and optimization of two-dimensional warranty period considering preventive maintenance [J ] . Industrial Engineering and Management , 2019 , 24 ( 4 ): 64 - 71 . (in Chinese)

张琳娜 . 改进遗传算法在计算机数学建模中的应用研究 [J ] . 电子设计工程 , 2021 , 29 ( 19 ): 31 - 34 .

ZHANG L N . Application of improved genetic algorithm in computer mathematical modeling [J ] . Electronic Design Engineering , 2021 , 29 ( 19 ): 31 - 34 . (in Chinese)

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ZHAO Jian-min

JIA Xi-sheng

HU Qi-wei

Related Institution

College of Intelligence Science and Technology, National University of Defense Technology

Science and Technology on Integrated Logistics Support Laboratory, National University of Defense Technology

Department of Equipment Command and Management, Ordnance Engineering College

Department of Training, Ordnance Engineering College

College of Electronic Engineering, Naval University of Engineering

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