预防周期不同的最佳系统预防性维修优化模型

建立了一种系统预防维修周期优化模型,该模型不但考虑到系统预防维修时各周期不同的情况,而且还充分考虑到预防维修可以提高系统生产效益的同时,其故障率会随着维修次数的增加而上升,引入役龄回退因子对预防维修活动前后系统性能的动态变化进行了描述。重点研究了系统在不同预防周期条件下的总维修费用随预防维修次数的变化,并与预防维修周期相同时的情况进行了比较。实例验证了该优化模型的正确性与可用性。     

串联系统预防维修周期优化策略研究(英文)

针对串联系统建立了基于可靠性约束的预防性维修优化模型,该模型充分考虑到预防维修可以提高系统可靠性的同时,其故障率会随着维修次数的增加而上升,引入役龄回退因子对预防维修活动前后系统性能的动态变化进行了描述.通过实例验证了该优化模型的正确性与可用性,对模型作进一步的扩展,还可用于更一般复杂的串并联系统.     

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.     

基于状态的检查与修理综合决策模型

分析了单部件系统退化过程的特点,建立了基于状态的检查与修理决策模型。该模型根据系统的当前状态来决定检查与修理,通过分析计算系统在一个更新周期内平均检查次数、预防性维修及修复性故障的概率,建立维修费用与检查问隔及预防性维修阈值的关系,以平均维修费用最小为目标,优化检查间隔及预防性维修阈值。最后运用Matlab对模型进行数值计算,结果表明,模型能有效地降低维修费用。     

基于半马氏决策过程的电容器维修策略优化

针对电容器随机劣化失效的特点,采用半马氏决策过程解决其预防性维修方案设计和维修策略优化问题.在电容器随机劣化的Gaussian-Poisson模型基础上,以检测周期为优化变量,同时考虑预防性维修次数阈值的影响,建立电容器长期运行费用率优化模型.分析表明,对该型号电容器来说,预防性维修相比于事后修理更加有利于节省部件长期运行的费用率.     

考虑多重劣化故障的装备最优视情维修策略

针对装备维修工程实际中多重故障并发的问题,假设系统经历两个相互独立的劣化故障过程,设定相应的预防性维修阈值并定期对系统状态进行检测;基于Gamma过程建立了该系统的视情维修决策优化模型,给出了系统在预定维修策略下的长期运行费用率计算表达式,并以系统长期运行费用率最低为目标,对检测周期和两个维修阈值进行优化。通过算例分析了维修策略参数对于长期运行费用率及预防性维修概率的影响。计算结果表明:在给定模型参数下,存在一组最优维修策略参数(检测周期和维修阈值),能够使得系统长期运行费用率降至最低。     

预防性维修工作组合优化

针对单部件的维修间隔期无法反映系统的维修最佳间隔期这一问题,对装备各部件在各修理级别上的预防性维修任务组合情况进行探索.通过建立费用模型、可用度和风险模型作为决策模型,用以组合某一修理级别各部件的维修工作,得出系统预防性维修间隔期,并结合部队实际优化从系统的角度优化等级维修中的维修工作间隔期,为确定大中小修工作提供科学、合理的理论指导.该算法在区分各修理级别的维修能力的基础上,能较好地对各修理级别的维修工作组合情况进行了优化,实例验证了模型的实用性和有效性.     

预防性维修周期的优化建模

随着现代装备系统性能和复杂程度的不断提高,使用维护要求的日趋严格使其使用和保障费用也急剧上涨。提出了一种计算可修复系统的最优预防维修周期的模型,此模型是结合系统的失效损失费和维修费用,根据使单位有效使用时间的费用最小的原则建立的,针对失效时间为伽码分布的系统,计算了各种费用比和尺度参数下的最优维修周期。结论说明,此方法具有更高的预测精度,有较好的实际应用价值。     

考虑任务的多设备串联系统预防性维修决策优化

针对多设备串联系统因分别对单一设备进行预防性维修而造成停机次数较多的情况,提出了考虑任务的多设备串联系统预防性维修决策优化方法,以期将使预防性维修的优化结果更贴近实际。首先,对考虑任务的多设备串联系统预防性维修进行了问题描述,然后,进行了建模假设,并以降低系统整机维修费用为目标,以成组维修和机会维修为维修策略调整的基本依据,以预防性维修费用和修复性维修费用的变化为变量,建立了考虑任务的多设备串联系统预防性维修决策优化模型。最后,以某型多设备系统为例,进行了算例验证。     

非周期不完全检测下的维修优化

针对gamma退化型单部件系统,基于更新和半更新过程理论建立了以期望费用率最小为目标的非周期不完全检测下的维修优化模型。利用检测规划函数使系统的检测间隔期可以依据系统的状态进行调整。为更加贴近实际,模型考虑了测量误差对维修优化的影响。通过计算可以得到最优预防性维修阈值和检测方案。给出了模型的应用算例,通过对退化速率和费用参数的灵敏度分析说明了模型的有效性。与不考虑检测误差的优化结果进行对比,证明了考虑检测误差的重要性。     

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。     

Integrated production scheduling and preventive maintenance planning for a single machine under a cumulative damage failure process

This paper finds the optimal integrated production schedule and preventive maintenance plan for a single machine exposed under a cumulative damage process, and investigates how the optimal preventive maintenance plan interacts with the optimal production schedule. The goal is to minimize the total tardiness. The optimal policy possesses the following properties: Under arbitrary maintenance plan when jobs have common processing time, and different due dates, the optimal production schedule is to order the jobs by earliest due date first rule; and when jobs have common due date and different processing times, the optimal production schedule is shortest processing time first. The optimal maintenance plan is of control limit type under any arbitrary production schedule when machine is exposed under a cumulative damage failure process. Numerical studies on the optimal maintenance control limit of the maintenance plan indicate that as the number of jobs to be scheduled increases, the effect of jobs due dates on the optimal maintenance control limit diminishes. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

基于预防性维修工作组合的维修等级优化研究

针对单部件的维修间隔期无法反映系统的维修最佳间隔期这一问题,对装备各部件在各修理级别上的预防性维修任务组合情况进行了探索。通过建立费用模型作为决策模型,用以组合某一修理级别各部件的维修工作,得出系统预防性维修间隔期,并结合部队实际从系统的角度优化等级维修中的维修工作间隔期,为确定大、中、小修工作提供科学、合理的理论指导。该算法在区分各修理级别的维修能力的基础上,能较好地对各修理级别的维修工作组合情况进行了优化。实例验证了模型的实用性和有效性。     

装备预防性维修的维修级别逻辑决策分析方法

针对预防性维修的维修级别没有规范、统一的分析与确定方法的问题,研究了预防性维修的维修级别逻辑决策分析方法。明确了预防性维修的维修级别决策分析的对象是预防性维修工作类型,预防性维修主要有定时维修和状态维修,定时维修分为定时拆修和定时报废2种维修工作类型,状态维修分为状态信息检测、状态识别、状态预测、维修决策、故障诊断和维修实施等维修工作类型。根据维修间隔期、维修能力评估、其它非经济性因素以及经济性分析,分别建立了定时维修和状态维修的维修级别逻辑决策模型。     

Optimal (τ, T) opportunistic maintenance of a k‐out‐of‐n:G system with imperfect PM and partial failure

The opportunistic maintenance of a k‐out‐of‐n:G system with imperfect preventive maintenance (PM) is studied in this paper, where partial failure is allowed. In many applications, the optimal maintenance actions for one component often depend on the states of the other components and system reliability requirements. Two new (τ, T) opportunistic maintenance models with the consideration of reliability requirements are proposed. In these two models, only minimal repairs are performed on failed components before time τ and the corrective maintenance (CM) of all failed components are combined with PM of all functioning but deteriorated components after τ; if the system survives to time T without perfect maintenance, it will be subject to PM at time T. Considering maintenance time, asymptotic system cost rate and availability are derived. The results obtained generalize and unify some previous research in this area. Application to aircraft engine maintenance is presented. © 2000 John Wiley & Sons;, Inc. Naval Research Logistics 47: 223–239, 2000     

Optimal production and maintenance policy for imperfect production systems

A joint optimization of the production run length and preventive maintenance (PM) policy is studied for a deteriorating production system where the in‐control period follows a general probability distribution with non‐decreasing failure rate. In the literature, the sufficient conditions for the optimality of the equal‐interval PM schedule is explored to derive an optimal production run length and an optimal number of PM actions. Nevertheless, an exhaustive search may arise. In this study, based on the assumption that the conditions for the optimality of the equal‐interval PM schedule hold, we derive some structural properties for the optimal production/PM policy, which increases the efficiency of the solution procedure. These analyses have implications for the practical application of the production/PM model to be more available in practice. A numerical example of gamma shift distribution with non‐decreasing failure rates is used to illustrate the solution procedure, leading to some insight into the management process. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

Scheduling economic lot sizes in deteriorating production systems

The paper considers the economic lot scheduling problem (ELSP) where production facility is assumed to deteriorate, owing to aging, with an increasing failure rate. The time to shift from an “in‐control” state to an “out‐of‐control” state is assumed to be normally distributed. The system is scheduled to be inspected at the end of each production lot. If the process is found to be in an “out‐of‐control” state, then corrective maintenance is performed to restore it to an “in‐control” state before the start of the next production run. Otherwise, preventive maintenance is carried out to enhance system reliability. The ELSP is formulated under the capacity constraint taking into account the quality related cost due to possible production of non‐conforming items, process inspection, and maintenance costs. In order to find a feasible production schedule, both the common cycle and time‐varying lot sizes approaches are utilized. © 2003 Wiley Periodicals, Inc. Naval Research Logistics 50: 650–661, 2003