An optimum multiechelon repair policy and stockage model

Currently, sophisticated multiechelon models compute stockage quantities for spares and repair parts that will minimize total inventory investment while achieving a target level of weapon system operational availability. The maintenance policies to be followed are input to the stockage models. The Optimum Allocation of Test Equipment/Manpower Evaluated Against Logistics (OATMEAL) model will determine optimum maintenance as well as stockage policies for a weapon system. Specifically, it will determine at which echelon each maintenance function should be performed, including an option for component or module throwaway. Test equipment requirements to handle work load at each echelon are simultaneously optimized. Mixed-integer programming (MIP) combined with a Lagrangian approach are used to do the constrained cost minimization, that is, to minimize all costs dependent on maintenance and stockage policies while achieving a target weapons system operational availability. Real-life test cases are included.     

Optimal design of a multi-item,multi-location,multi-repair type repair and supply system

The design of a system with many locations, each with many items which may fail while in use, is considered. When items fail, they require repair; the particular type of repair being governed by a probability distribution. As repairs may be lengthy, spares are kept on hand to replace failed items. System ineffectiveness is measured by expected weighted shortages over all items and locations, in steady state. This can be reduced by either having more spares or shorter expected repair times. Design consists of a provisioning of the number of spares for each item, by location; and specifying the expected repair times for each type of repair, by item and location. The optimal design minimizes expected shortages within a budget constraint, which covers both (i) procurement of spares and (ii) procurement of equipment and manning levels for the repair facilities. All costs are assumed to be separable so that a Lagrangian approach is fruitful, yielding an implementable algorithm with outputs useful for sensitivity analysis. A numerical example is presented.     

有限维修能力下多级保障系统装备时变可用度评估及保障方案优化

备件库存和站点维修能力是影响备件维修周转的重要因素,制约装备使用效果。针对备件需求随任务阶段动态变化的装备保障方案评估和优化问题,考虑站点维修能力对备件维修过程的影响,结合METRIC建模方法和动态排队理论,建立了有限维修能力下多级保障系统装备时变可用度评估模型。在评估模型基础之上,以保障费用为优化目标,装备可用度为约束条件,建立了任务期内多级保障系统保障方案优化模型。以任务期内的最低可用度所对应的备件短缺数为观测值,分析了各项资源的边际效益值,采用边际优化算法对各项资源进行优化计算。算例分析表明,评估模型能够计算多级保障系统任务期内各阶段装备可用度;保障方案优化模型和方法能够得到各项保障资源的优化配置方案。提出的模型和优化方法能够为装备保障人员制定合理的保障方案提供决策支持。     

有限维修能力下多级保障系统装备时变可用度评估及保障方案优化

备件库存和站点维修能力是影响备件维修周转的重要因素,制约着装备的使用效果。针对备件需求随任务阶段动态变化时装备保障方案的评估和优化问题,考虑站点维修能力对备件维修过程的影响,结合METRIC建模方法和动态排队理论,建立了有限维修能力下多级保障系统装备时变可用度评估模型。在评估模型基础之上,以保障费用为优化目标、装备可用度为约束条件,建立任务期内多级保障系统保障方案优化模型。以任务期内的最低可用度所对应的备件短缺数为观测值,分析各项资源的边际效益值,采用边际优化算法对各项资源进行优化计算。算例分析表明,评估模型能够计算多级保障系统任务期内各阶段装备可用度;保障方案优化模型和方法能够得到各项保障资源的优化配置方案。提出的模型和优化方法能够为装备保障人员制订合理的保障方案提供决策支持。     

军民融合条件下新型军械装备保修模式研究

针对如何引入承制方优质技术力量支援部队维修保障能力建设这一问题,分析我军现役军械装备维修保障力量、保障模式存在的不足和地方装备维修保障力量的能力特点,明确承制方在军民融合条件下装备维修保障力量中的重要地位.在借鉴国外研究成果的基础上,深入分析和系统设计了我军军械装备的保修模式.结合部队巡检机制,建立了一维免费-按比例收费组合保修的费效模型来验证采购合同中保修条款的合理性.最后进行了案例分析,证明了模型的有效性和实用性.     

状态维修下通指装备可用度评估

随着监测诊断技术的发展,状态维修在通指装备维修中应用范围越来越广。根据系统模块之间的并联供求关系,以系统可用度求解为目标,建立多态串并联可控系统可用度精确求解模型。在对模型进行求解的过程中运用发生函数算法,对算法的运用范围进行拓展。实例结果证明评估模型的精确性,对于装备状态评估具有更强的指导性。     

基于可用度仿真分析的装备修理级别确定方法

针对通过更换备件完成修复性维修且常年担负战备的新型武器装备修理级别问题,建立基于使用可用度仿真分析的修理级别分析模型。以地空导弹装备为例,重点仿真分析中继级修复比例、送修率和远程支援技术因子3个指标,定量分析表明使用可用度与3个指标的比例关系,从而可根据使用可用度要求确定该系统修复性维修的修理级别。给出了修复性维修的修理级别分析方法和流程,实例验证了该模型的准确性和可行性。     

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。     

任务成功性优先的多属性维修决策研究

针对现代武器装备执行任务的特点提出了任务成功性优先的多属性维修决策方法。通过以任务成功性为中心的装备维修决策确保装备的任务成功性,利用模糊多属性决策方法对装备的维修费用、维修时间等其他影响维修决策的因素进行综合考虑,使装备的维修策略在确保任务成功性的前提下有进一步的优化。通过应用示例表明了该方法的可用性。     

装甲装备使用可用度与维修保障费用的优化模型

维修保障费用是影响装甲装备使用可用度的重要因素之一。要在有限的保障经费下实现高可用度要求,就必须建立装甲装备的使用可用度与维修保障费用的优化模型。根据装甲装备实际维修特点,在分析装甲装备预防性维修过程中故障类型多样的基础上,构建了装甲装备在给定维修周期内的使用可用度模型和维修保障费用模型,进而建立了使用可用度与维修保障费用的优化模型,提出了模型的解法和模型的改进建议。     

装备维修器材竞争性采购方式的模糊决策

针对传统装备维修器材采购方式选择主观性强、不规范等问题,通过选取“保密性、安全性、市场性、时间性和经济性”5条指标,借用层次分析法和模糊综合决策,建立了采购方式选择的量化模型,利用可调整的评语集,优化了模型决策过程,实现了采购方式选择的快速决策．     

通用装备维修保障资源需求仿真建模研究

从新型通用装备维修保障的实际需求出发,在对维修保障系统运行过程分析的基础上,建立了维修资源需求的仿真模型,并给出了相关算法。该模型可实现对各种主要维修资源需求的预测,并能给出装备完好率、备件缺货率和装备待修时间等系统特征指标。该模型和算法可为装备的维修保障提供科学的依据。     

“Government contracting options: A model and application“∗

This paper models and simulates a government‐contractor principal‐agent weapon system repair model. Insights are derived as to how government repair contracts should be constructed so as to induce optimal contractor behavior. The paper's general conclusion is that the best contracting approach combines a lump‐sum payment that does not vary with the number of units repaired, expensive item cost‐sharing, and a contractor‐provided availability guarantee. Provided there is intercontractor competition, this type of contract performs well even if the government is poorly informed about weapon system break patterns or repair costs.     

基于CCA/DEA的装备维修保障绩效评价

运用典型相关分析方法(CCA)和数据包络法(DEA),从纯技术效率、规模效率和综合效率3方面对空军飞行团维修保障绩效进行计算分析,结果表明,飞行团维修费使用效益方面经费配置效率整体不高,特别是对于中修费和维修器材购置费,须采取管控措施提高经费利用效率。     

Maintaining systems with heterogeneous spare parts

We consider the problem of optimally maintaining a stochastically degrading, single‐unit system using heterogeneous spares of varying quality. The system's failures are unannounced; therefore, it is inspected periodically to determine its status (functioning or failed). The system continues in operation until it is either preventively or correctively maintained. The available maintenance options include perfect repair, which restores the system to an as‐good‐as‐new condition, and replacement with a randomly selected unit from the supply of heterogeneous spares. The objective is to minimize the total expected discounted maintenance costs over an infinite time horizon. We formulate the problem using a mixed observability Markov decision process (MOMDP) model in which the system's age is observable but its quality must be inferred. We show, under suitable conditions, the monotonicity of the optimal value function in the belief about the system quality and establish conditions under which finite preventive maintenance thresholds exist. A detailed computational study reveals that the optimal policy encourages exploration when the system's quality is uncertain; the policy is more exploitive when the quality is highly certain. The study also demonstrates that substantial cost savings are achieved by utilizing our MOMDP‐based method as compared to more naïve methods of accounting for heterogeneous spares.     

On the reliability,availability and bayes confidence intervals for multicomponent systems

The problem of computing reliability and availability and their associated confidence limits for multi-component systems has appeared often in the literature. This problem arises where some or all of the component reliabilities and availabilities are statistical estimates (random variables) from test and other data. The problem of computing confidence limits has generally been considered difficult and treated only on a case-by-case basis. This paper deals with Bayes confidence limits on reliability and availability for a more general class of systems than previously considered including, as special cases, series-parallel and standby systems applications. The posterior distributions obtained are exact in theory and their numerical evaluation is limited only by computing resources, data representation and round-off in calculations. This paper collects and generalizes previous results of the authors and others. The methods presented in this paper apply both to reliability and availability analysis. The conceptual development requires only that system reliability or availability be probabilities defined in terms acceptable for a particular application. The emphasis is on Bayes Analysis and the determination of the posterior distribution functions. Having these, the calculation of point estimates and confidence limits is routine. This paper includes several examples of estimating system reliability and confidence limits based on observed component test data. Also included is an example of the numerical procedure for computing Bayes confidence limits for the reliability of a system consisting of N failure independent components connected in series. Both an exact and a new approximate numerical procedure for computing point and interval estimates of reliability are presented. A comparison is made of the results obtained from the two procedures. It is shown that the approximation is entirely sufficient for most reliability engineering analysis.     

引入区域量化的相控阵天线维修优化模型

针对大型相控阵天线维修成本高、多部件维修时机难以确定、模型仿真计算困难等问题,提出一种引入区域量化的维修优化模型。建立天线阵列的区域量化模型,将天线阵列维修问题转化成一个由不同区域阵元组成的k/n系统维修优化问题。以使用可用度为约束条件,以单位时间维修费用最小为优化目标,建立引入区域量化的大型相控阵天线多部件视情维修决策优化模型,并通过算例仿真与分析进行了模型验证。结果表明:提出的维修优化模型真实有效,能够很好地解决分布不均匀的相控阵天线维修优化问题。     

The proper balancing of repair and preventive maintenance activities in the determination of coordinated shipboard allowance lists

The determination as to the cost-effective number of spares for given types of items or equipment to be carried on board various types of ships is studied. This spare pool, known as the ship's COSAL, must provide prespecified levels of protection against stockouts for all uses of that item on board the given ship. This article derives and illustrates the methodology for optimally trading off the reduction in the ship's COSAL that can be gained by improving repair/resupply capabilities or by lowering the failure rate of the equipment through more or different types of preventive maintenance. A flexible class of preventive maintenance/repair response functions to cost is studied which are nonlinear and exhibit realistic diminishing returns. Two different types of assumptions are possible regarding the interdependencies of the resupply times across different ship types. A tractable budget allocation method is presented which can be used in a multiitem, multiship, multiechelon repair environment where there is one budget to cover all spares, all repair/resupply, and preventive maintenance activities. The technique incorporates different criticalities of shortages by type of ship and item. It can be used either in a budget building mode or a budget execution mode.     

基于马氏过程的电子对抗装备伺服驱动器可用度分析

针对电子对抗装备天线伺服系统驱动器可用度评估问题,考虑其具有优先使用权冷贮备冗余设计的特点,运用马尔可夫过程分析的方法,研究修理工人数不同情况下伺服驱动器稳态可用度和瞬时可用度,建立相应的数学模型,最后进行实例验证,绘出不同维修策略下系统瞬时可用度随时间变化的曲线.     

A two-machine repair model with variable repair rate

A two-unit cold standby production system with one repairman is considered. After inspection of a failed unit the repairman chooses either a slow or a fast repair rate to carry out the corresponding amount of work. At system breakdown the repairman has an additional opportunity to switch to the fast rate. If there are no fixed costs associated with system breakdowns, then the policy which minimizes longrun average costs is shown to be a two-dimensional control limit rule. If fixed costs are incurred every time the system breaks down, then the optimal policy is not necessarily of control limit type. This is illustrated by a counterexample. Furthermore, we present several performance measures for this maintenance system controlled by a two-dimensional control limit rule. © 1993 John Wiley & Sons, Inc.