随机共因失效条件下战时合成部队携行备件配置优化研究
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摘要
装备群在执行作战任务过程中通常会发生共因失效事件,分析共因失效故障对实现装备群的精确化保障具有现实意义。针对战时合成部队装备群遂行任务时,装备携行备件配置优化模型中没有考虑装备受击故障这一类随机共因失效的问题,提出了随机共因失效条件下的备件配置优化方法。建立了装备故障相关条件下的备件需求模型和多约束条件下的携行备件配置优化模型,引入拉格朗日乘子,利用边际效应法求出最优配置方案通过实例对该方法的可行性进行验证。研究结果表明,在装备随机共因失效条件下,所建立的模型可以为多约束携行备件配置优化提供模型参考。
The common cause failure events usually happen in the weapon and equipment for implementing the combat mission. The analysis of common cause failure events is of practical significance to the precise equipment support. A kind of random common cause failure has not been considered in the optimization model of carrying spare parts allocation for the combined arms unit implementing the task. An optimization method for spare parts allocation under random common cause failure is proposed. A spare parts demand model with the condition of equipment fault correlation is established,and an optimal model for carrying spare parts allocation under multiple constraints is developed. The Lagrange multiplier is introduced,and the optimal allocation scheme is obtained using the marginal effect method. A real example is used to verify the validity of the proposed model. The results show that the proposed model can be used to obtain the optimal allocation of multi-constraint spare parts under the condition of the random common cause failure.
The common cause failure events usually happen in the weapon and equipment for implementing the combat mission. The analysis of common cause failure events is of practical significance to the precise equipment support. A kind of random common cause failure has not been considered in the optimization model of carrying spare parts allocation for the combined arms unit implementing the task. An optimization method for spare parts allocation under random common cause failure is proposed. A spare parts demand model with the condition of equipment fault correlation is established,and an optimal model for carrying spare parts allocation under multiple constraints is developed. The Lagrange multiplier is introduced,and the optimal allocation scheme is obtained using the marginal effect method. A real example is used to verify the validity of the proposed model. The results show that the proposed model can be used to obtain the optimal allocation of multi-constraint spare parts under the condition of the random common cause failure.
引文
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[13] LAI M T,SHIH W,TANG K Y. Economic discrete replacement policy subject to increasing failure rate shock model[J]. International Journal of Advanced Manufacturing Technology,2006,27(11/12):1242-1247.
[14]马文·劳沙德.系统可靠性理论:模型、统计方法及应用[M].郭强,王秋芳,刘树林,译.第2版.北京:国防工业出版社,2011.RAUSAND M. System reliability theory:models, statistical methods,and applications[M]. 2nd ed. GUO Q,WANG Q F,LIU S L,translated. Beijing:National Defense Industry Press,2011.(in Chinese)
[15]蔡芝明,金家善,李广波.多约束下随船备件配置优化方法[J].系统工程理论与实践,2015,35(6):1561-1566.CAI Z M,JIN J S,LI G B. Warship spare parts allotment optimization method under multi-constraints[J]. Systems Engineering—Theory&Practice,2015,35(6):1561-1566.(in Chinese)
[16] BACHMAN T C,KLINE R C. Model for estimating spare parts requirements for future missions[C]∥Proceedings of Space 2004Conference and Exhibit. San Deigo,CA,US:AIAA,2004.
[2]阮旻智,李庆民,张光宇,等.多约束下舰船装备携行备件保障方案优化方法[J].兵工学报,2013,34(9):1144-1149.RUAN M Z,LI Q M,ZHANG G Y,et al. Optimization method of carrying spare parts support project for warship equipment under multi-constraints[J]. Acta Armamentarii,2013,34(9):1144-1149.(in Chinese)
[3]蔡芝明,金家善,陈砚桥.非稳态及多约束下多层级系统器材配置优化方法[J].北京航空航天大学学报,2017,43(1):36-46.CAI Z M,JIN J S,CHEN Y Q. Optimization method of multi-echelon system equipment configuration under unsteady state and multiconstraint[J]. Journal of Beijing University of Aeronautics and Astronautics,2017,43(1):36-46.(in Chinese)
[4] WANG C N,XING L D,LEVITIN G. Probabilistic common cause failures in phased-mission systems[J]. Reliability Engineering and System Safety,2015,144:53-60.
[5]潘刚,尚朝轩,梁玉英,等.相关竞争失效场合雷达功率放大系统可靠性评估[J].电子学报,2017,45(4):805-811.PAN G,SHANG C X,LIANG Y Y,et al. Reliability evaluation of radar power amplifier system in case of related competing failures[J]. Acta Elecronica Sinica,2017,45(4):805-811.(in Chinese)
[6]赵建印,刘芳,孙权,等.基于竞争失效模型的金属化膜脉冲电容器产品可靠性研究[J].系统工程理论与实践,2006,26(1):60-64.ZHAO J Y,LIU F,SUN Q,et al. Reliability analysis of metallized-film pulse capacitor under competing failure modes[J]. System Engineering Theory&Practice,2006,26(1):60-64.(in Chinese)
[7]刘晓娟,王华伟,徐璇.考虑多退化失效和突发失效之间竞争失效的可靠性评估方法[J].中国机械工程,2017,28(1):7-12.LIU X J,WANG H W,XU X. Reliability assessment based on competition failure considering multi-degradation and catastrophic failure[J]. China Mechanical Engineering,2017,28(1):7-12.(in Chinese)
[8]黄文平,周经伦,宁菊红,等.基于变失效阈值的竞争失效可靠性模型[J].系统工程与电子技术,2017,39(4):941-946.HUANG W P,ZHOU J L,NING J H,et al. Reliability model for competing failure with shift thresholds[J]. Systems Engineering and Electronics,2017,39(4):941-946.(in Chinese)
[9]曹文斌,胡起伟,苏续军,等.随机共因失效条件下的多阶段任务成功概率评估研究[J].兵工学报,2017,38(4):766-775.CAO W B,HU Q W,SU X J,et al. Research on phased-mission success probability assessment under random common cause failures[J]. Acta Armamentarii,2017,38(4):766-775.(in Chinese)
[10]肖罗椿.同类型多部件系统的视情维修与备件供应联合优化[D].南京:南京航空航天大学,2016.XIAO L C. Joint optimization of spare parts ordering and maintenance policies for system with multiple identical parts[D]. Nanjing:Nanjing University of Aeronautics and Astronautics,2016.(in Chinese)
[11] HAO S H,YANG J. Reliability analysis for dependent competing failure processes with changing degradation rate and hard failure threshold levels[J]. Computers&Industrial Engineering,2018,118:340-351.
[12]常春波,曾建潮.极端冲击下系统竞争性失效过程的可靠性建模[J].系统工程理论与实践,2015,35(5):1332-1338.CHANG C B,ZENG J C. Reliability modeling for dependent competing failure process under extreme shock[J]. Systems Engineering—Theory&Practice,2015,35(5):1332-1338.(in Chinese)
[13] LAI M T,SHIH W,TANG K Y. Economic discrete replacement policy subject to increasing failure rate shock model[J]. International Journal of Advanced Manufacturing Technology,2006,27(11/12):1242-1247.
[14]马文·劳沙德.系统可靠性理论:模型、统计方法及应用[M].郭强,王秋芳,刘树林,译.第2版.北京:国防工业出版社,2011.RAUSAND M. System reliability theory:models, statistical methods,and applications[M]. 2nd ed. GUO Q,WANG Q F,LIU S L,translated. Beijing:National Defense Industry Press,2011.(in Chinese)
[15]蔡芝明,金家善,李广波.多约束下随船备件配置优化方法[J].系统工程理论与实践,2015,35(6):1561-1566.CAI Z M,JIN J S,LI G B. Warship spare parts allotment optimization method under multi-constraints[J]. Systems Engineering—Theory&Practice,2015,35(6):1561-1566.(in Chinese)
[16] BACHMAN T C,KLINE R C. Model for estimating spare parts requirements for future missions[C]∥Proceedings of Space 2004Conference and Exhibit. San Deigo,CA,US:AIAA,2004.