基于更新过程的多阶段备件需求模型

正态分布、威布尔分布是常用的备件寿命模型,但是正态分布和威布尔分布的记忆性会导致多阶段需求量预测的相关性.利用更新过程理论,将叠加的更新过程分解和拼接,建立单阶段多项备件需求模型;通过将年龄转移到下个阶段,建立了多阶段不可修备件需求模型;采用加权平均法对多阶段需求模型进行了修正.仿真表明,这种模型能有效预测多阶段需求的波动.     

Design and control of agile automated CONWIP production lines

In this article, we study the design and control of manufacturing cells with a mix of manual and automated equipment, operating under a CONWIP pull protocol, and staffed by a single agile (cross‐trained) worker. For a three‐station line with one automated station, we fully characterize the structure of the optimal control policy for the worker and show that it is a static priority policy. Using analytical models and extensive simulation experiments, we also evaluate the effectiveness of practical heuristic control policies and provide managerial insights on automation configuration design of the line. This characterization of the worker control policy enables us to develop managerial insights into the design issues of how best to locate and concentrate automation in the line. Finally, we show that, in addition to ease of control and greater design flexibility, the CONWIP protocol also offers higher efficiency and robustness than does the push protocol. © 2008 Wiley Periodicals, Inc. Naval Research Logistics 2009     

一种解决知识不相容的方法

介绍了知识库更新的基本概念,并且在命题知识库的范围内研究了知识库更新的方法,结合实际应用给出了一种特殊情况下知识不相容的判定方法。     

Stochastic regret minimization for revenue management problems with nonstationary demands

We study an admission control model in revenue management with nonstationary and correlated demands over a finite discrete time horizon. The arrival probabilities are updated by current available information, that is, past customer arrivals and some other exogenous information. We develop a regret‐based framework, which measures the difference in revenue between a clairvoyant optimal policy that has access to all realizations of randomness a priori and a given feasible policy which does not have access to this future information. This regret minimization framework better spells out the trade‐offs of each accept/reject decision. We proceed using the lens of approximation algorithms to devise a conceptually simple regret‐parity policy. We show the proposed policy achieves 2‐approximation of the optimal policy in terms of total regret for a two‐class problem, and then extend our results to a multiclass problem with a fairness constraint. Our goal in this article is to make progress toward understanding the marriage between stochastic regret minimization and approximation algorithms in the realm of revenue management and dynamic resource allocation. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 433–448, 2016     

基于Neumann谱和PM谱的海浪感应磁场能量分布计算

结合前人在海浪功率谱以及海浪产生磁场两方面的研究 ,求出了海浪 磁场系统的传递函数 ,分析了该系统的性质 ,并利用该传递函数和Neumann谱、PM谱计算了磁场功率谱 ;在此基础上 ,根据实际观测我国海区的海浪高度 周期分布 ,求解海浪分布参数 ,模拟实际的海浪过程 ,求出了实际情况下的海浪感应磁场功率谱 ,并分析了其特性 .     

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。     

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。     

模糊随机过程的可分性与可测性

本文证明了一个模糊随机过程{_t(ω)t∈T}必存在一个与之等价的可分模糊随机过程{_t(ω)t∈T};且若模糊随机过程{_t(ω)t∈T}随机连续,则它存在等价的,可分且可测的模糊随机过程{■_t(ω)t∈T}。     

Using a birth‐and‐death process to estimate the steady‐state distribution of a periodic queue

If the number of customers in a queueing system as a function of time has a proper limiting steady‐state distribution, then that steady‐state distribution can be estimated from system data by fitting a general stationary birth‐and‐death (BD) process model to the data and solving for its steady‐state distribution using the familiar local‐balance steady‐state equation for BD processes, even if the actual process is not a BD process. We show that this indirect way to estimate the steady‐state distribution can be effective for periodic queues, because the fitted birth and death rates often have special structure allowing them to be estimated efficiently by fitting parametric functions with only a few parameters, for example, 2. We focus on the multiserver M_t/GI/s queue with a nonhomogeneous Poisson arrival process having a periodic time‐varying rate function. We establish properties of its steady‐state distribution and fitted BD rates. We also show that the fitted BD rates can be a useful diagnostic tool to see if an M_t/GI/s model is appropriate for a complex queueing system. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 664–685, 2015