基于延迟时间理论的备件维修多目标优化模型
|
摘要
在系统的健康管理中可靠度、可用度或维修费用的极值通常被用作确定维修周期的准则,但随着装备系统的复杂化和决策者需求的多样化,单目标决策问题已不能满足现状,由此,针对定期检测策略,建立了基于延迟时间理论且考虑不完美维修的多目标决策模型,并运用多属性效用理论对模型求解。首先建立该策略下的可靠度、可用度和维修费用模型;然后将三者视为属性,构造每个属性的效用函数;之后采用基于逼近理想解排序法思想的赋权法对属性权重赋值,通过加权获得不同维修周期的综合效用值,根据效用值确定维修周期;最后引入算例,验证模型的有效性和可行性。
In system health management,the extreme value of reliability,availability or maintenance cost is usually used as a criterion for determining maintenance intervals.However,with the complexity of the equipment system and the diversification of decision-makers' needs,the single objective maintenance decision-making problem can no longer satisfy the current situation.Therefore,a multi-objective maintenance decision model based on the delay-time theory and considering imperfect maintenance is established for the periodic detection strategy,and the multi-attribute utility theory is used to solve the model.Firstly,the reliability,availability and maintenance cost models are established then the utility functions of each attribute are constructed.Then the weighting method based on technique for order preference by similarity to ideal solution thought is used to assign the weight of the attribute,and the comprehensive utility value of different maintenance period is obtained by weighting,and the maintenance interval is determined according to the utility value.Finally,the validity and feasibility of the proposed method are verified by an example analysis.
In system health management,the extreme value of reliability,availability or maintenance cost is usually used as a criterion for determining maintenance intervals.However,with the complexity of the equipment system and the diversification of decision-makers' needs,the single objective maintenance decision-making problem can no longer satisfy the current situation.Therefore,a multi-objective maintenance decision model based on the delay-time theory and considering imperfect maintenance is established for the periodic detection strategy,and the multi-attribute utility theory is used to solve the model.Firstly,the reliability,availability and maintenance cost models are established then the utility functions of each attribute are constructed.Then the weighting method based on technique for order preference by similarity to ideal solution thought is used to assign the weight of the attribute,and the comprehensive utility value of different maintenance period is obtained by weighting,and the maintenance interval is determined according to the utility value.Finally,the validity and feasibility of the proposed method are verified by an example analysis.
引文
[1]ALASWAD S,XIANG Y.A review on condition-based maintenance optimization models for stochastically deteriorating system[J].Reliability Engineering&System Safety,2017,157(1):54-63.
[2]LIU B,LIANG Z L,PARLIKAD A K,et al.Condition-based maintenance for systems with aging and cumulative damage based on proportional hazards model[J].Reliability Engineering&System Safety,2017,168(12):200-209.
[3]VERBERT K A J,DE SCHUTTER B H K,BABUSKA R.Timely condition-based maintenance planning for multi-component systems[J].Reliability Engineering&System Safety,2017,159(3):310-321.
[4]WALTER G,DOUWE FLAPPER S.Condition-based maintenance for complex systems based on current component status and Bayesian updating of component reliability[J].Reliability Engineering&System Safety,2017,168(12):227-239.
[5]ALASWAD S,CASSADY R,POHL E A,et al.A model of system limiting availability under imperfect maintenance[J].Journal of Quality in Maintenance Engineering,2017,23(4):415-436.
[6]QIU Q,CUI L,GAO H.Availability and maintenance modelling for systems subject to multiple failure modes[J].Computers&Industrial Engineering,2017,108(6):192-198.
[7]CHEN Z,XIA T,PAN E.Optimal multi-level classification and preventive maintenance policy for highly reliable products[J].International Journal of Production Research,2017,55(8):2232-2250.
[8]CHENG G Q,ZHOU B H,LI L.Integrated production,quality control and condition-based maintenance for imperfect production systems[J].Reliability Engineering&System Safety,2018,175(7):251-264.
[9]ZHANG N,FOULADIRAD M,BARROS A.Optimal imperfect maintenance cost analysis of a two-component system with failure interactions[J].Reliability Engineering&System Safety,2018,177(9):24-34.
[10]赵斐,刘学娟.考虑不完美维修的定期检测与备件策略联合优化[J].系统工程理论与实践,2017,37(12):3201-3214.ZHAO F,LIU X J.Joint optimization of periodical inspection and spare parts policies considering imperfect maintenance[J].System Engineering Theory&Practice,2017,37(12):3201-3214.
[11]甘婕,曾建潮,张晓红.考虑性能可靠度约束的维修决策模型[J].计算机集成制造系统,2016,22(4):1079-1087.GAN J,ZENG J C,ZHANG X H.Maintenance decision model considering performance reliability constraints[J].Computer Integrated Manufacturing System,2016,22(4):1079-1087.
[12]DRIESSEN J P C,PENG H,VAN HOUTUM G J.Maintenance optimization under non-constant probabilities of imperfect inspections[J].Reliability Engineering&System Safety,2017,165(9):115-123.
[13]HE Y,GU C,CHEN Z,et al.Integrated predictive maintenance strategy for manufacturing systems by combining quality control and mission reliability analysis[J].International Journal of Production Research,2017,55(19):5841-5862.
[14]NGUYEN K A,DO P,GRALL A.Joint predictive maintenance and inventory strategy for multi-component systems using Birnbaum’s structural importance[J].Reliability Engineering&System Safety,2017,168(10):249-261.
[15]TEN WOLDE M,GHOBBAR A A.Optimizing inspection intervals-reliability and availability in terms of a cost model:a case study on railway carriers[J].Reliability Engineering&System Safety,2013,114(7):137-147.
[16]ARNO R,DOWLING N,SCHUERGER R J.Equipment failure characteristics and RCM for optimizing maintenance cost[J].IEEE Trans.on Industry Applications,2016,52(2):1257-1264.
[17]DO P,HAI C V,BARROS A,et al.Maintenance grouping for multi-component systems with availability constraints and limited maintenance teams[J].Reliability Engineering&System Safety,2015,142(10):56-67.
[18]LV Y,LIU J Q,ZENG Y Y.Research on multi-objective optimization method for maintenance decision of nuclear power plant[C]∥Proc.of the 20th Pacific Basin Nuclear Conference,2016:845-864.
[19]郝虹斐,郭伟,桂林,等.非完美维修情境下的预防性维修多目标决策模型[J].上海交通大学学报,2018,52(5):518-524.HAO H F,GUO W,GUI L,et al.A multi-objective preventive maintenance decision-making model for imperfect repair process[J].Journal of Shanghai Jiaotong University,2018,52(5):518-524.
[20]LIN Z L,HUANG Y S,FANG C C.Non-periodic preventive maintenance with reliability the thresholds for complex repairable systems[J].Reliability Engineering&System Safety,2015,136(4):145-156.
[21]GARMABAKI A H S,AHMADI A,AHMADI M.Maintenance optimization using multi-attribute utility theory[C]∥Proc.of the Current Trends in Reliability,Availability,Maintainability and Safety,2016:13-25.
[22]CHRISTER A H,WALLER W M.Reducing production downtime using delay time analysis[J].Journal of the Operational Research Society,1984,35(6):499-512.
[23]WANG W.An inspection model based on a three-stage failure process[J].Reliability Engineering&System Safety,2011,96(7):838-848.
[24]DOYEN L,GAUDOIN O,SYAMSUNDAR A.On geometric reduction of age or intensity models for imperfect maintenance[J].Reliability Engineering&System Safety,2017,168(10):40-52.
[25]王爽,赵鹏.基于TOPSIS的出行方案评价指标权重的确定方法[J].交通运输系统工程与信息,2009,9(2):122-128.WANG S,ZHAO P.Method of determining the weight of evaluation index for travel plan based on TOPSIS[J].Transportation System Engineering and Information,2009,9(2):122-128.
[26]石宝峰,程砚秋,王静.变异系数加权的组合赋权模型及科技评价实证[J].科研管理,2016,37(5):122-131.SHI B F,CHENG Y Q,WANG J.A combination empowerment model based on variation coefficient weighted and its empirical study of S&T evaluation[J].Science Research Management,2016,37(5):122-131.
[27]GUPTA H,BARUA M K.A framework to overcome barriers to green innovation in SMEs using BWM and Fuzzy TOPSIS[J].Science of The Total Environment,2018,633:122-139.
[28]SINGH R K,GUNASEKARAN A,KUMAR P.Third party logistics(3PL)selection for cold chain management:a fuzzy AHP and fuzzy TOPSIS approach[J].Annals of Operations Research,2018,267(1/2):531-553.
[29]李刚,李建平,孙晓蕾,等.主客观权重的组合方式及其合理性研究[J].管理评论,2017,29(12):17-26,61.LI G,LI J P,SUN X L,et al.Research on a combined method of subjective-objective weighing and the its rationality[J].Management Review,2017,29(12):17-26,61.
[30]程呈,高敏,程旭德,等.基于组合赋权的反坦克导弹武器系统作战效能评估研究[J].系统工程理论与实践,2018,38(1):241-251.CHENG C,GAO M,CHENG X D,et al.Research on operational efficiency evaluation of anti-tank missile weapon system based on combination weighting[J].System Engineering Theory&Practice,2018,38(1):241-251.
[2]LIU B,LIANG Z L,PARLIKAD A K,et al.Condition-based maintenance for systems with aging and cumulative damage based on proportional hazards model[J].Reliability Engineering&System Safety,2017,168(12):200-209.
[3]VERBERT K A J,DE SCHUTTER B H K,BABUSKA R.Timely condition-based maintenance planning for multi-component systems[J].Reliability Engineering&System Safety,2017,159(3):310-321.
[4]WALTER G,DOUWE FLAPPER S.Condition-based maintenance for complex systems based on current component status and Bayesian updating of component reliability[J].Reliability Engineering&System Safety,2017,168(12):227-239.
[5]ALASWAD S,CASSADY R,POHL E A,et al.A model of system limiting availability under imperfect maintenance[J].Journal of Quality in Maintenance Engineering,2017,23(4):415-436.
[6]QIU Q,CUI L,GAO H.Availability and maintenance modelling for systems subject to multiple failure modes[J].Computers&Industrial Engineering,2017,108(6):192-198.
[7]CHEN Z,XIA T,PAN E.Optimal multi-level classification and preventive maintenance policy for highly reliable products[J].International Journal of Production Research,2017,55(8):2232-2250.
[8]CHENG G Q,ZHOU B H,LI L.Integrated production,quality control and condition-based maintenance for imperfect production systems[J].Reliability Engineering&System Safety,2018,175(7):251-264.
[9]ZHANG N,FOULADIRAD M,BARROS A.Optimal imperfect maintenance cost analysis of a two-component system with failure interactions[J].Reliability Engineering&System Safety,2018,177(9):24-34.
[10]赵斐,刘学娟.考虑不完美维修的定期检测与备件策略联合优化[J].系统工程理论与实践,2017,37(12):3201-3214.ZHAO F,LIU X J.Joint optimization of periodical inspection and spare parts policies considering imperfect maintenance[J].System Engineering Theory&Practice,2017,37(12):3201-3214.
[11]甘婕,曾建潮,张晓红.考虑性能可靠度约束的维修决策模型[J].计算机集成制造系统,2016,22(4):1079-1087.GAN J,ZENG J C,ZHANG X H.Maintenance decision model considering performance reliability constraints[J].Computer Integrated Manufacturing System,2016,22(4):1079-1087.
[12]DRIESSEN J P C,PENG H,VAN HOUTUM G J.Maintenance optimization under non-constant probabilities of imperfect inspections[J].Reliability Engineering&System Safety,2017,165(9):115-123.
[13]HE Y,GU C,CHEN Z,et al.Integrated predictive maintenance strategy for manufacturing systems by combining quality control and mission reliability analysis[J].International Journal of Production Research,2017,55(19):5841-5862.
[14]NGUYEN K A,DO P,GRALL A.Joint predictive maintenance and inventory strategy for multi-component systems using Birnbaum’s structural importance[J].Reliability Engineering&System Safety,2017,168(10):249-261.
[15]TEN WOLDE M,GHOBBAR A A.Optimizing inspection intervals-reliability and availability in terms of a cost model:a case study on railway carriers[J].Reliability Engineering&System Safety,2013,114(7):137-147.
[16]ARNO R,DOWLING N,SCHUERGER R J.Equipment failure characteristics and RCM for optimizing maintenance cost[J].IEEE Trans.on Industry Applications,2016,52(2):1257-1264.
[17]DO P,HAI C V,BARROS A,et al.Maintenance grouping for multi-component systems with availability constraints and limited maintenance teams[J].Reliability Engineering&System Safety,2015,142(10):56-67.
[18]LV Y,LIU J Q,ZENG Y Y.Research on multi-objective optimization method for maintenance decision of nuclear power plant[C]∥Proc.of the 20th Pacific Basin Nuclear Conference,2016:845-864.
[19]郝虹斐,郭伟,桂林,等.非完美维修情境下的预防性维修多目标决策模型[J].上海交通大学学报,2018,52(5):518-524.HAO H F,GUO W,GUI L,et al.A multi-objective preventive maintenance decision-making model for imperfect repair process[J].Journal of Shanghai Jiaotong University,2018,52(5):518-524.
[20]LIN Z L,HUANG Y S,FANG C C.Non-periodic preventive maintenance with reliability the thresholds for complex repairable systems[J].Reliability Engineering&System Safety,2015,136(4):145-156.
[21]GARMABAKI A H S,AHMADI A,AHMADI M.Maintenance optimization using multi-attribute utility theory[C]∥Proc.of the Current Trends in Reliability,Availability,Maintainability and Safety,2016:13-25.
[22]CHRISTER A H,WALLER W M.Reducing production downtime using delay time analysis[J].Journal of the Operational Research Society,1984,35(6):499-512.
[23]WANG W.An inspection model based on a three-stage failure process[J].Reliability Engineering&System Safety,2011,96(7):838-848.
[24]DOYEN L,GAUDOIN O,SYAMSUNDAR A.On geometric reduction of age or intensity models for imperfect maintenance[J].Reliability Engineering&System Safety,2017,168(10):40-52.
[25]王爽,赵鹏.基于TOPSIS的出行方案评价指标权重的确定方法[J].交通运输系统工程与信息,2009,9(2):122-128.WANG S,ZHAO P.Method of determining the weight of evaluation index for travel plan based on TOPSIS[J].Transportation System Engineering and Information,2009,9(2):122-128.
[26]石宝峰,程砚秋,王静.变异系数加权的组合赋权模型及科技评价实证[J].科研管理,2016,37(5):122-131.SHI B F,CHENG Y Q,WANG J.A combination empowerment model based on variation coefficient weighted and its empirical study of S&T evaluation[J].Science Research Management,2016,37(5):122-131.
[27]GUPTA H,BARUA M K.A framework to overcome barriers to green innovation in SMEs using BWM and Fuzzy TOPSIS[J].Science of The Total Environment,2018,633:122-139.
[28]SINGH R K,GUNASEKARAN A,KUMAR P.Third party logistics(3PL)selection for cold chain management:a fuzzy AHP and fuzzy TOPSIS approach[J].Annals of Operations Research,2018,267(1/2):531-553.
[29]李刚,李建平,孙晓蕾,等.主客观权重的组合方式及其合理性研究[J].管理评论,2017,29(12):17-26,61.LI G,LI J P,SUN X L,et al.Research on a combined method of subjective-objective weighing and the its rationality[J].Management Review,2017,29(12):17-26,61.
[30]程呈,高敏,程旭德,等.基于组合赋权的反坦克导弹武器系统作战效能评估研究[J].系统工程理论与实践,2018,38(1):241-251.CHENG C,GAO M,CHENG X D,et al.Research on operational efficiency evaluation of anti-tank missile weapon system based on combination weighting[J].System Engineering Theory&Practice,2018,38(1):241-251.