竞争失效条件下的装备选择性维修优化方法  

Optimal method for selective maintenance of equipment subject to competing failure

作　　者：逯程 徐廷学 李启超[2] 朱桂芳 LU Cheng;XU Tingxue;LI Qichao;ZHU Guifang(Coastal Defense College,Naval Aeronautical and Astronautical University,Yantai 264001,China;Unit 91206 of PLA,Qingdao 266100,China;Rocket Sergeant School,Qingzhou 262500,China)

机构地区：[1]海军航空大学岸防兵学院,烟台264001 [2]中国人民解放军91206部队,青岛266100 [3]火箭军士官学校,青州262500

出　　处：《中国惯性技术学报》2019年第2期272-280,共9页Journal of Chinese Inertial Technology

基　　金：国家自然科学基金(51605487);山东省自然科学基金(2016ZRA06070)

摘　　要：为了实现集群装备的精确化保障目标,提高任务成功概率,提出了一种竞争失效条件下面向随机不确定任务的装备选择性维修优化方法。当任务间隔时间为随机变量时,同时考虑装备、任务与随机竞争失效等相关参数的模糊特性,基于模糊Markov过程与模糊通用生成函数法,建立了竞争失效条件下的模糊多状态系统任务成功概率评估模型;然后以模糊任务成功概率为目标函数,在维修备件资源约束下,建立了针对集群装备的选择性维修决策模型,同时利用Memetic算法对模型进行求解,得到最优维修方案;最后,以某型捷联惯性导航系统装备为例,计算得到该选择性维修模型下的任务成功概率可达到0.6018。分析与实例验证了模型的有效性和合理性。In order to achieve the goal of accurate support for cluster equipment and improve the probability of mission success,an optimization method of equipment selective maintenance for stochastic uncertain tasks under competing failure is proposed.For the case that the interval of a mission is a random variable and the fuzzy characteristics (such as equipment,mission and stochastic competition failure) are considered,a mission success probability evaluation model for the fuzzy multi-state system under the condition of competing failure is established based on the fuzzy Markov process and the fuzzy universal generating function.Then,taking it as the objective function,a selective maintenance decision model for group equipment is established under the constraint of maintenance spare-parts resources.The Memetic algorithm is applied to solve the model,and the optimal maintenance scheme is obtained.Finally,by taking a strapdown inertial navigation system as an example,the probability of mission success under the selective maintenance model is calculated,which reaches 0.6018.The analysis and practical examples verify the validity and rationality of the proposed model.

关 键 词：选择性维修 随机竞争失效 模糊Markov过程 模糊通用生成函数法 MEMETIC算法 

分 类 号：N945.17[自然科学总论—系统科学] TB114.3[理学—概率论与数理统计]