Nonperiodic preventive maintenance for repairable systems

As a complex system with multiple components usually deteriorates with age, preventive maintenance (PM) is often performed to keep the system functioning in a good state to prolong its effective age. In this study, a nonhomogeneous Poisson process with a power law failure intensity is used to describe the deterioration of a repairable system, and the optimal nonperiodic PM schedule can be determined to minimize the expected total cost per unit time. However, since the determination of such optimal PM policies may involve numerous uncertainties, which typically make the analyses difficult to perform because of the scarcity of data, a Bayesian decision model, which utilizes all available information effectively, is also proposed for determining the optimal PM strategies. A numerical example with a real failure data set is used to illustrate the effectiveness of the proposed approach. The results show that the optimal schedules derived by Bayesian approach are relatively more conservative than that for non‐Bayesian approach because of the uncertainty of the intensity function, and if the intensity function are updated using the collected data set, which indicates more severe deterioration than the prior belief, replacing the entire system instead of frequent PM activities before serious deterioration is suggested. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

多级可修备件库存的生灭过程建模与优化

针对VARI-METRIC模型在低可用度下结果不准确的问题,建立基于生灭过程的任意等级、任意层级可修件库存优化模型。通过对各级站点、各类备件需求率与到达率的预测,对每个部件建立其生灭过程模型,并提出基于生灭过程的装备可用度计算方法。以整个保障系统的装备可用度为约束指标,以备件总购置费最低为目标,利用边际算法得到最优备件配置方案,并建立仿真模型对所得优化方案进行评估与调整。结合算例,以仿真结果作为检验标准,选取权威的VMETRIC软件与该解析模型在优化性能、计算精度及适用性上进行对比和说明。结果表明,无论是解析模型还是VMETRIC软件,均存在一定的适用范围,而采用解析与仿真相结合的方法无疑具有更强的适应性。     

基于满足率的随舰备件配置方案

针对满足率只有统计定义的问题,从不同角度研究了备件满足率的概率性质,给出了满足率的两种概率模型,揭示了满足率的内涵和实际工程意义。在此基础上,给出了系统备件保障满足率的概率定义,建立了以系统备件满足率为约束、备件总重量最小为目标的随舰备件配置优化模型,研究了优化模型的边际效益算法。实例分析表明：该方法为合理制定舰艇随舰备件保障方案提供了决策依据。     

可修系统的一个模型

本文研究一种具有4种故障形式的可修系统。利用向量Markov过程方法,求出了系统的可靠性指标。     

初始备件设计方法研究

以武器装备初始备件的设计与供应现实为背景,根据初始备件的配置依据,提出了一种基于维修任务和维修保障要求的初始备件设计方法。通过这种设计方法,能够在研制过程中同步开展初始备件设计,并优化配置方案,从而为武器装备的初始备件清单设计提供了依据,也为其他武器装备的初始备件清单设计提供了借鉴。     

基于CML模型的编队器材携带方案优化方法

随船备件配置优化问题研究目前主要集中在只有定量或定性约束上,而对既有定性约束又有定量约束的混合约束问题未见文章提及,同时研究对象多为单船,而对舰艇编队研究比较少。针对此问题,以舰艇编队出海任务准备阶段为背景,以保障费用、舰艇仓库空间、舰艇最大排水量及舰员维修能力作为模型的约束条件,以编队备件保障概率为目标函数,采用正态逆向云模型、边际效应法及拉格朗日乘子法(称为CML模型)对此类问题进行求解,给出系统资源因子求解步骤及分析方法,并对本模型进行动态调整和优化。实例分析表明本模型求解方法和步骤可以为多个定量和定性约束下舰船备件携带问题提供新的参考。     

Bayesian enhanced decision making for deteriorating repairable systems with preventive maintenance

Since a system and its components usually deteriorate with age, preventive maintenance (PM) is often performed to restore or keep the function of a system in a good state. Furthermore, PM is capable of improving the health condition of the system and thus prolongs its effective age. There has been a vast amount of research to find optimal PM policies for deteriorating repairable systems. However, such decisions involve numerous uncertainties and the analyses are typically difficult to perform because of the scarcity of data. It is therefore important to make use of all information in an efficient way. In this article, a Bayesian decision model is developed to determine the optimal number of PM actions for systems which are maintained according to a periodic PM policy. A non‐homogeneous Poisson process with a power law failure intensity is used to describe the deteriorating behavior of the repairable system. It is assumed that the status of the system after a PM is somewhere between as good as new for a perfect repair and as good as old for a minimal repair, and for failures between two preventive maintenances, the system undergoes minimal repairs. Finally, a numerical example is given and the results of the proposed approach are discussed after performing sensitivity analysis. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

基于矩估计的高原航空备件消耗规律研究

针对高原航空备件消耗规律难把握的问题,提出了一种解决低消耗器材消耗预测的方法,利用矩估计把握器材的消耗规律和Monte Carlo仿真器材消耗的数据,找出储备量与满足率之间的关系,预测年平均消耗量。     

舰船随舰备件配置方法

为准确预测备件需求数量,需要针对具体的保障对象和保障环境特点,选择合适的评价保障指标。针对单舰船在海上执行训练任务时的随舰备件保障问题,在分析影响随舰备件配置各因素的基础上,通过比较分析各评价保障指标的适用特点,选择满足率作为随舰备件的评价保障指标,进而给出了基于满足率模型的单备件配置方法,为部队装备保障人员合理制定备件保障方案提供决策依据。     

装备使用阶段后续备件采购模型Π:可修复件

针对装备使用阶段可修复件的采购优化问题,引入近似拉普拉斯需求概率分布代替正态分布,建立了采购间隔期内的备件短缺函数。根据供应链系统库存控制论,建立了可修备件的采购模型。通过对可修件周转渠道的分析,对采购短缺指标进行了修订,并给出了最优采购点和采购量的计算方法。对两种需求分布下的算例结果进行了对比和分析,结果表明:该模型得到的结果鲁棒性强、偏差小,优化过程简单,为故障率高、消耗量低的可修件采购方案的确定提供了一种新的思路。