Application of Markov renewal theory and semi-Markov decision processes in maintenance modeling and optimization of multi-unit systems

In this paper, a condition-based maintenance model for a multi-unit production system is proposed and analyzed using Markov renewal theory. The units of the system are subject to gradual deterioration, and the gradual deterioration process of each unit is described by a three-state continuous time homogeneous Markov chain with two working states and a failure state. The production rate of the system is influenced by the deterioration process and the demand is constant. The states of the units are observable through regular inspections and the decision to perform maintenance depends on the number of units in each state. The objective is to obtain the steady-state characteristics and the formula for the long-run average cost for the controlled system. The optimal policy is obtained using a dynamic programming algorithm. The result is validated using a semi-Markov decision process formulation and the policy iteration algorithm. Moreover, an analytical expression is obtained for the calculation of the mean time to initiate maintenance using the first passage time theory.     

提高建筑消防设施完好率探讨

分析了建筑消防设施现状及完好率低的原因,提出改变消防管理模式,建立塔式管理的建议,并从严把消防产品质量关、加强施工队伍管理、发挥消防中介机构作用、强化消防设施维护保养、提高技防水平等方面给出了提高建筑消防设施完好率的措施。     

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     

随舰备件需求分析中维修策略问题

分析了面向任务保障性工程理论指导下的舰船随舰备件配置问题,就最大、最小两种维修策略下随舰备件配置问题进行了研究,给出了面向任务的随舰备件需求分析仿真模型框架,结合算倒,研究了最大维修策略与最小维修策略的适用时机:在任务确定且任务结构函数明确条件下,应采用最小维修策略;否则采用最大维修策略.     

装备维修社会化研究

新型装备的科技含量不断提升，战场透明度不断增大，装备的损坏率也在不断提高，如何快速抢修损坏装备，恢复其保障能力，是事关战争胜负的一个关键环节。针对装备维修力量如何满足未来信息化战争装备保障需求，分析了装备维修社会化的必要性与可行性，提出了装备维修社会化的模式构想。     

一种基于辅助交互的手抓握动作生成方法

针对沉浸式、非沉浸式和混合式虚拟维修系统中,维修动作交互过程繁琐、实现效果不佳的问题,提出一种高效的辅助交互方法,首先基于现有的维修动作规则和用户对维修任务的理解,建立了用户辅助信息接口和系统反馈辅助信息接口,前者由用户提供抓取目标、抓取手形和抓握点等辅助信息加速交互过程,系统通过后者反馈辅助信息帮助用户进一步决策,然后应用增广矩阵方法对经典逆向运动学算法进行扩展并生成具体的维修动作,最后应用该方法实现了装备车辆轮胎更换任务中维修动作的生成,维修动作交互过程的鲁棒性和效率得到显著提高。     

Optimal maintenance policies for a safety‐critical system and its deteriorating sensor

We consider the integrated problem of optimally maintaining an imperfect, deteriorating sensor and the safety‐critical system it monitors. The sensor's costless observations of the binary state of the system become less informative over time. A costly full inspection may be conducted to perfectly discern the state of the system, after which the system is replaced if it is in the out‐of‐control state. In addition, a full inspection provides the opportunity to replace the sensor. We formulate the problem of adaptively scheduling full inspections and sensor replacements using a partially observable Markov decision process (POMDP) model. The objective is to minimize the total expected discounted costs associated with system operation, full inspection, system replacement, and sensor replacement. We show that the optimal policy has a threshold structure and demonstrate the value of coordinating system and sensor maintenance via numerical examples. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 399–417, 2017     

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。     

美军维修改革发展研究

维修保障是武器装备形成战斗力的关键要素。随着国际形势和美国国内经济、科技等方面的发展变化,美军的维修策略、维修技术以及维修保障信息化等方面也在不断变革。总结了2000年前后至今,美军在维修保障方面的重大变革,对其发展趋势进行了预测,并结合我军装备保障实际,积极探索切实可行的有效对策。     

基于改进TOPSIS法的维修保障系统效能评估研究

维修保障系统涉及因素众多,对其进行效能评估是一项非常复杂的问题.在分析TOPSIS及其改进方法的基础上,构建了维修保障系统效能评估指标体系,应用改进TOPSIS法对维修保障系统效能进行了综合评估,并将评估结果与AHP和突变评价法的结果进行比较,结论一致.为维修保障系统效能评估问题寻求出一种新的方法,其评估结果可为决策提供定量依据.