基于状态的维修与备件库存决策联合优化研究

针对需进行定期功能检测的设备,研究其基于状态的维修策略与备件库存策略联合优化方法。引入延迟时间理论,分析定期功能检测策略下备件库存的消耗与供应过程;基于设备功能退化和备件库存变化规律,建立以设备维修保障费用为优化目标的数学模型,并采用仿真的方法对设备功能检测周期、备件最大库存水平、备件订购周期等决策变量进行联合优化。通过一个算例对所提出的方法和建立的模型进行应用验证。     

复杂系统复合维修间隔期优化模型

采用组合策略对复杂系统辅以功能检测的定期更换维修工作进行综合优化.在分析复杂系统维修费用结构和组成的基础上,建立了其无限使用期条件下单位时间期望费用的数学模型,从而获得系统最佳的功能检测间隔期、定期更换周期内的检测次数和最优总费用.最后通过一个算例验证了该策略和模型的有效性.     

基于两级库存的装备备件配置优化模型

备件库存配置优化是提高装备战备完好性、降低装备寿命周期费用的重要途径。分析了基地级仓储中心、基层级仓库两级装备现场可更换单元(Line-Replacement Unit,LRU)库存系统,提出了备件初始配置方案下库存缺货模型,建立了基于备件隶属关系的两级库存系统配置优化模型。该模型以装备可用度和库存费用为优化目标,通过优化备件库存配置结构,形成合理的备件库存配置方案,从而降低备件配置费用,避免资源浪费。     

基于gamma退化过程的装备备件保障模型

在基于CBM的装备保障中,备件订购是重要一环。针对带有状态监测系统的单部件系统,假设部件退化服从gamma过程,以总费用率最小为目标,建立了系统退化过程模型和订货费用模型,结合改进的费用率函数对最优备件订购时间进行了决策。通过案例分析对提出的模型方法进行了验证。结果表明,所建模型可以降低备件的总费用率。     

关键备件订购决策建模与优化

针对关键备件,以规定可用度为约束条件,以单位时间内的期望费用最低为目标,通过分析单元的可靠性与订购决策的关系,建立了一个更新周期内,基于单元可靠性的备件订购决策模型,并给出了相应应用示例,示例说明了模型的适用性与灵敏性.     

鱼雷装备备件隶属关系的两级库存系统配置优化研究

备件库存系统配置优化是提高武器装备的战备完好性和降低寿命周期费用的重要途径,但在装备组成结构中,由于部件之间存在一定的隶属关系,并不是所有的项目都能够进行串件。针对现有两级库存系统备件配置优化研究的不完善之处,根据装备结构层次特点,通过分析鱼雷装备LRU和SRU备件两级库存系统,提出了备件初始配置方案下的备件库存缺货数模型,并在此基础上建立了基于备件隶属关系的两级库存系统配置优化模型。该模型以鱼雷装备使用度和库存费用为优化目标,通过优化备件库存配置结构,生成较好的备件库存配置方案,从而节约备件配置费用,避免造成资源浪费。     

相控阵天线阵面两级备件优化配置模型

针对相控阵天线阵面备件配置存在的冗余性强、批量送修、多级维修等现实问题,综合考虑备件费用、维修能力以及库存策略之间的关系,建立了基于定期补给的两级备件优化配置模型。给出了系统的故障件维修周转过程和维修备件的定期补给过程,在分析备件、库存、维修能力之间关系的基础上,结合成批到达的排队理论,建立了系统的供应可用度模型。以备件配置费用最小为目标、以系统供应可用度为约束条件,建立了系统的备件优化配置模型,并通过边际效益分析法对模型进行了求解。通过算例仿真与分析对模型进行了验证。结果表明:构建的备件配置能够较好地解决相控阵天线阵面的备件配置问题,具有一定的优越性。     

基于METRIC理论的防空武器系统备件配置优化

利用C+ +Builder 6.0编程软件,编制了专门的计算备件期望短缺量的软件和查询表格,使得METRIC模型的实际运用更加方便;结合我军防空武器系统维修保障体制的现状,利用METRIC模型构建了备件配置优化模型;以备件订购费用为约束条件,装备可用度最大为目标对备件配置策略进行了优化研究;算例分析表明,结果比较合理,...     

装备可修复备件三级库存优化配置模型研究

分析了备件库存优化研究现状,描述了可修复备件三级库存供应保障流程,以系统可用度和费用为约束,构建了备件三级库存优化配置模型,运用边际分析方法进行模型求解,得出可修复备件三级库存优化方案.以某型装备为例,对其维修备件库存方案进行优化,求得同时满足可用度和费用最优的库存方案,并分析了中继级修理时间和基层级修复概率对系统可用度的影响,可为装备维修保障工作提供决策.     

基于两级联合库存的低消耗备件优化配置研究

针对现行装备低消耗备件供应保障效率不高的问题,提出了基于两级联合库存的低消耗备件优化配置方法。在建立备件两级联合库存模型的基础上,引入备件横向调拨策略,并以横向调拨方案为约束条件,两级库存系统期望缺货量最少、横向调拨量最大为优化目标,建立了两级联合库存配置优化模型。运用线性规划软件对模型进行求解和优化,结合实例对横向调拨方案进行了分析,结果表明该模型在达到备件配置要求的情况下,提高了备件利用率,为制定合理的备件优化方案提供决策依据。     

基于年龄更换策略的威布尔分布备件需求计算方法

备件需求量预测在装备保障工作中发挥着重要作用。预防性维修可以消除装备潜在的故障或避免装备发生故障后所导致的严重后果,从而使装备始终处于期望状态。预防性维修策略下备件需求量建模能够以可预见的可靠性数据为基础进行,其关键问题是最佳更换间隔时间的确定。针对威布尔分布装备备件,采用年龄更换策略,确定最佳更换间隔时间,并在此基础上导出威布尔型备件需求计算模型,为备件需求量的预测提供了一种简单有效的方法。     

The reliability of multicomponent systems subject to cannibalization

A reliability model for multicomponent multistate systems is presented. This is a generalization of a model previously studied by Hirsch, Meisner, and Boll. In the earlier model, when a failure occurs for which no replacement spare is available, the locations using the same type of part as that having failed are “cannibalized” so as to allocate the shortages to locations where they are least detrimental to system performance. Here, we permit certain restrictions to be imposed upon the cannibalization procedure, and develop effective techniques for relating the probability laws governing the level of system performance to the system structure, cannibalization policy, kit of spare parts, and part reliabilities.     

General trigger-off replacement procedures for two-unit systems

A trigger-off replacement policy, suggested and analyzed in [1], for two-unit systems composed of identical units, is generalized and extended in this work in several ways. In the first part of the paper we obtain the appropriate integral equations for nonidentical units and then use them for a complete solution of the case of two units, whose lifetimes are distributed according to general Erlang distributions. In the second part of the paper we extend the trigger-off policy itself by allowing preventive replacements of units which reach a certain critical age. The system stops working if either one of the two units fails or reaches its critical age. Both cases present natural replacement possibilities for the remaining unit, provided that its age exceeds a predetermined critical age. Finally, we consider the question of which policy parameters, i.e. control limits and critical ages, to choose when facing a real-life situation. Using the criterion of expected costs per unit time in the long run, we show how to find the optimal parameters which minimize this objective function. The fact that a restricted optimization, within the class of trigger-off replacement policies, leads to the global optimal policy has been proved in [2] by a different approach.     

基于二维量度的复杂设备预防性维修决策优化

针对使用与维修具有两个测量维度的复杂设备,开展了其预防性维修决策的优化研究。基于二维量度的故障模式,给出了二维故障率的定量描述方法;分析了其预防性更换过程的基本过程,探讨了二维量度下更换周期对维修效果的影响,并从经济性角度建立了二维工龄更换费用模型;最后,采用算例的形式,对某设备维修决策同时考虑日历使用时间和行驶里程的情况,进行了二维更换间隔期的优化求解,从而验证了所建立方法与模型的实用性。     

Optimal replacement rules based on different information levels

We consider the following replacement model in reliability theory. A technical system with random lifetime is replaced upon failure. Preventive replacements can be carried out before failure. The time for such a replacement depends on the observation of a random state parameter and is therefore in general a random time. Different costs for preventive and failure replacements are introduced which may depend on the age of the working system. The optimization criterion followed here to find an optimal replacement time is to minimize the total expected discounted costs. The optimal replacement policy depends on the observation of the state of the system. Results of the theory of stochastic processes are used to obtain the optimal strategy for different information levels. Several examples based on a two-component parallel system with possibly dependent component lifetimes show how the optimal replacement policy depends on the different information levels and on the degree of dependence of the components. © 1992 John Wiley & Sons, Inc.     

Hybrid minimal repair and age replacement maintenance policies,with nonnegligible repair times

A system undergoes minimal repair during [0, T] with a failure replacement on first failure during [T, a], or a planned replacement if the system is still functioning at elapsed time a. Repairs and replacements are not necessarily instantaneous. An expression is obtained for the asymptotic expected cost rate, and sufficient conditions are obtained for the optimum T* > 0. Several special cases are considered. A numerical investigation for a Weibull distributed time to first failure compares this elapsed-time policy with replacement on failure only, and also a policy based on system operating time or age. It is found that in many cases the elapsed-time-based policy is only marginally worse than one based on system age, and may therefore be preferred in view of its administrative convenience. © 1994 John Wiley & Sons, Inc.     

Reliability and mean residual life functions of coherent systems in an active redundancy

In this article, the reliability and the mean residual life (MRL) functions of a system with active redundancies at the component and system levels are investigated. In active redundancy at the component level, the original and redundant components are working together and lifetime of the system is determined by the maximum of lifetime of the original components and their spares. In the active redundancy at the system level, the system has a spare, and the original and redundant systems work together. The lifetime of such a system is then the maximum of lifetimes of the system and its spare. The lifetimes of the original component and the spare are assumed to be dependent random variables. © 2017 Wiley Periodicals, Inc. Naval Research Logistics, 64: 19–28, 2017     

Periodic replacement when minimal repair costs vary with time

A policy of periodic replacement with minimal repair at failure is considered for a complex system. Under such a policy the system is replaced at multiples of some period T while minimal repair is performed at any intervening system failures. The cost of a minimal repair to the system is assumed to be a nonde-creasing function of its age. A simple expression is derived for the expected minimal repair cost in an interval in terms of the cost function and the failure rate of the system. Necessary and sufficient conditions for the existence of an optimal replacement interval are exhibited in the case where the system life distribution is strictly increasing failure rate (IFR).     

Monotone optimal preventive maintenance policies for stochastically failing equipment

This paper examines various models for maintenance of a machine operating subject to stochastic deterioration. Three alternative models are presented for the deterioration process. For each model, in addition to the replacement decision, the option exists of performing preventive maintenance. The effect of this maintenance is to “slow” the deterioration process. With an appropriate reward structure imposed on the processes, the models are formulated as continuous time Markov decision processes. the optimality criterion being the maximization of expected discounted reward earned over an infinite time horizon. For each model conditions are presented under which the optimal maintenance policy exhibits the following monotonic structure. First, there exists a control limit rule for replacement. That is, there exists a number i* such that if the state of machine deterioration exceeds i* the optimal policy replaces the machine by a new machine. Secondly, prior to replacement the optimal level of preventive maintenance is a nonincreasing function of the state of machine deterioration. The conditions which guarantee this result have a cost/benefit interpretation.     

Replacement models under additive damage

A production system which generates income is subject to random failure. Upon failure, the system is replaced by a new identical one and the replacement cycles are repeated indefinitely. In our breakdown model, shocks occur to the system in a Poisson stream. Each shock causes a random amount of damage, and these damages accumulate additively. The failure time depends on the accumulated damage in the system. The income from the system and the cost associated with a planned replacement depend on the accumulated damage in the system. An additional cost is incurred at each failure in service. We allow a controller to replace the system at any stopping time T before failure time. We will consider the problem of specifying a replacement rule that is optimal under the following criteria: maximum total long-run average net income per unit time, and maximum total long-run expected discounted net income. Our primary goal is to introduce conditions under which an optimal policy is a control limit policy and to investigate how the optimal policy can be obtained. Examples will be presented to illustrate computational procedures.