An optimal structured policy for maintenance of partially observable aircraft engine components

This paper considers the maintenance of aircraft engine components that are subject to stress. We model the deterioration process by means of the cumulative jump process representation of crack growth. However, because in many cases cracks are not easily observable, maintenance decisions must be made on the basis of other information. We incorporate stress information collected via sensors into the scheduling decision process by means of a partially observable Markov decision process model. Using this model, we demonstrate the optimality of structured maintenance policies, which support practical maintenance schedules. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 335–352, 1998     

基于马尔可夫更新过程的装甲装备使用可用度模型

针对在装甲装备使用可用度评估中,采用统计评估法存在统计周期长和不能用于研制阶段的缺点,利用马尔可夫更新过程,建立了考虑工作时间、修复性维修时间、延误时间和预防性维修时间的装甲装备的稳态可用度模型,并进行了示例应用。该模型可以在装备研制阶段,根据装备各项时间参数的分布,来估计装甲装备的使用可用度,可为装备设计、装备维修间隔期规划等提供理论和方法指导。     

Simultaneous determination of production and maintenance schedules using in‐line equipment condition and yield information

In many manufacturing environments, equipment condition has a significant impact on product quality, or yield. This paper presents a semi‐Markov decision process model of a single‐stage production system with multiple products and multiple maintenance actions. The model simultaneously determines maintenance and production schedules, accounting for the fact that equipment condition affects the yield of each product differently. It extends earlier work by allowing the expected time between decision epochs to vary by both action and machine state, by allowing multiple maintenance actions, and by treating the outcome of maintenance as less than certain. Sufficient conditions are developed that ensure the monotonicity of both the optimal production and maintenance actions. While the maintenance conditions closely resemble previously studied conditions for this type of problem, the production conditions represent a significant departure from earlier results. The simultaneous solution method is compared to an approach commonly used in industry, where the maintenance and production problems are treated independently. Solving more than one thousand test problems confirms that the combination of both features of the model—accounting for product differences and solving the problems simultaneously—has a significant impact on performance. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

基于Markov决策支持系统的坦克排作战效能预测

分析了Markov模型的一般预测过程,建立了一种基于Markov决策支持系统的作战效能预测分析模型,根据坦克排在担负不同作战任务时的特点,给出了坦克排作战效能预测分析的应用实例,预测分析的结果表明,该模型能够对作战态势做以正确的预测,有利于指挥员更好地进行兵力部署,发挥坦克排作战的最佳效能.     

两个单周期的备件存储模型

在工作寿命和修理时间之一服从一般的连续型分布,另一个服从指数分布的情形下讨论了单周期的备件存储问题,通过适当地划分系统的状态,利用Markov更新过程的理论进行了分析,建立了概率型模型,并由模型得到了最佳备件数的求法。     

柴油机磨损寿命的灰色马尔柯夫模型预测

基于灰色系统理论,将灰色ＧＭ（１,１）预测模型和马尔柯夫预测模型的优点结合起来,形成一个灰色马尔柯夫预测模型,拓宽了灰色预测的应用范围。特别地,这种模型的预测结果比其它随机波动性较大的数据到模型的预测结果精确得多。对柴油机磨损寿命进行预测,取得了令人满意的结果。     

炮兵群自动化指挥系统决策组织结构的 Petri 网建模与性能分析

对炮兵自动化指挥系统中决策组织的结构和能力进行了研究,建立了较为完善的各级指挥员指挥决策体系的Ｐｅｔｒｉ网模型。通过有色Ｐｅｔｒｉ网对群一级的炮兵自动化指挥系统在不同任务环境下的不同工作方式进行了建模表示和分析,引入了决策时延这一反应指挥决策体系能力的重要性能指标,并进一步运用马尔科夫链的分析方法对建立的指挥决策体系的Ｐｅｔｒｉ网模型进行定量分析,得出了量化结果,为自动化指挥系统中决策组织结构的设计和分析提供了理论根据。     

不完备检测下视情维修的多级劣化系统性能评估

视情维修是改善多级劣化系统性能表现的重要措施,然而在实际中检测不完备问题会制约视情维修的有效开展,从而影响劣化系统性能评估结果。针对这一问题,将多级劣化系统检测维修马尔科夫链模型中的状态转移进行调整,建立其在不完备检测下进行视情维修的性能评估模型,给出系统性能参数的求解方法。实例验证表明:在实际工作中,虚警和漏检对于系统瞬态可用度的影响是随时间变化而不定的,但对于系统可靠度的影响则是确定的,即在任意时刻虚警提高系统可靠度,而漏检降低系统可靠度。     

Newsvendor problems with sequentially revealed demand information

This article analyzes a capacity/inventory planning problem with a one‐time uncertain demand. There is a long procurement leadtime, but as some partial demand information is revealed, the firm is allowed to cancel some of the original capacity reservation at a certain fee or sell off some inventory at a lower price. The problem can be viewed as a generalization of the classic newsvendor problem and can be found in many applications. One key observation of the analysis is that the dynamic programming formulation of the problem is closely related to a recursion that arises in the study of a far more complex system, a series inventory system with stochastic demand over an infinite horizon. Using this equivalence, we characterize the optimal policy and assess the value of the additional demand information. We also extend the analysis to a richer model of information. Here, demand is driven by an underlying Markov process, representing economic conditions, weather, market competition, and other environmental factors. Interestingly, under this more general model, the connection to the series inventory system is different. © 2012 Wiley Periodicals, Inc. Naval Research Logistics 2012     

马尔可夫过程的k/N系统使用任务完成能力分析

研究了任务期间允许换件维修和备件供应时k/N系统的任务完成能力.首先,利用马尔可夫过程分析了k/N系统的状态转移过程,研究了k/N系统在特定维修保障策略下的运行过程.然后,以k/N系统固定任务时间内在正常状态停留时间的分布函数作为其任务完成概率模型,并通过全概率分解和更新过程的分析方法对任务完成概率进行求解.最后,利用任务完成概率模型在Matlab中绘制了任务完成概率随任务时间、任务量、备件携行数量以及备件平均供应时间的变化曲线,讨论并分析了对任务完成概率的影响.