M/G/1(RVT,P(j))排队系统的另一分析方法及其应用

M/G/1(RVT,P(j))表示服务员具有随机长度休息时间(RVT)的、且一休息时间结束时有 j 个顾客等待的概率为 P(j)的、修正的 M/G/1 排队系统。我们用嵌入 Markov 链的技术已详细地分析过这一排队系统,这里提供另一分析方法。最后,应用这个排队系统的分析结果,对时隙 ALOHA 卫星公用信道的分组碰撞概率计算公式作了推导。     

引信全电子安全系统失效分析及评估

本文根据全电子安全系统的一般结构模式,分析了其安全性设计的一般特点和可能造成其失效的各种原因,并在此基础上建立了全电子安全系统的失效故障树,给出了失效概率的定量计算结果。     

溶胶一凝胶法制备二氧化钛及其转化为氮化钛的研究

本文以钛酸丁酯为原料，通过溶胶一凝胶法制备了ＴｉＯ２凝胶，在高温下烧结此凝胶得到ＴｉＯ２。将ＴｉＯ２粉末在９００°Ｃ以上用氨进行氮化，制得金黄色的氮化钛。通过使用热分析、色谱分析、扫描电镜及Ｘ一射线衍射等手段，研究并揭示了凝胶在陶瓷化生成ＴｉＯ２的过程中的化学反应，结晶及晶型随温度的变化规律。发现了氮化钛陶瓷的生成率与ＴｉＯ２溶胶的制备条件之间的关系。     

一类扩散过程的最优停止

金融数学中关于美式期权的定价理论最后归结为一个对扩散过程的最优停止问题,扩散过程是特殊的马氏过程,本文讨论了当报酬函数非负时的值函数性质及其最优停时的表示。特别对带折扣的报酬的讨论,更加符合金融数学的需要     

二轴晶外锥折射的理论分析

从晶体的简正模方程出发,求得在二轴晶体中,当光线沿第二类光轴（光线轴）方向行进时,所对应的电场矢量和电位移矢量,并通过几何证明,验证所有折射光线在晶体内均在同一锥面上。     

Performance analysis of queue length monitoring of M/G/1 systems

This study investigates the statistical process control application for monitoring queue length data in M/G/1 systems. Specifically, we studied the average run length (ARL) characteristics of two different control charts for detecting changes in system utilization. First, the nL chart monitors the sums of successive queue length samples by subgrouping individual observations with sample size n. Next is the individual chart with a warning zone whose control scheme is specified by two pairs of parameters, (upper control limit, d_u) and (lower control limit, d_l), as proposed by Bhat and Rao (Oper Res 20 (1972) 955–966). We will present approaches to calculate ARL for the two types of control charts using the Markov chain formulation and also investigate the effects of parameters of the control charts to provide useful design guidelines for better performance. Extensive numerical results are included for illustration. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

Periodic review inventory management with contingent use of two freight modes with fixed costs

We study a stochastic inventory model of a firm that periodically orders a product from a make‐to‐order manufacturer. Orders can be shipped by a combination of two freight modes that differ in lead‐times and costs, although orders are not allowed to cross. Placing an order as well as each use of each freight mode has a fixed and a quantity proportional cost. The decision of how to allocate units between the two freight modes utilizes information about demand during the completion of manufacturing. We derive the optimal freight mode allocation policy, and show that the optimal policy for placing orders is not an (s,S) policy in general. We provide tight bounds for the optimal policy that can be calculated by solving single period problems. Our analysis enables insights into the structure of the optimal policy specifying the conditions under which it simplifies to an (s,S) policy. We characterize the best (s,S) policy for our model, and through extensive numerical investigation show that its performance is comparable with the optimal policy in most cases. Our numerical study also sheds light on the benefits of the dual freight model over the single freight models. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

基于聚类算法的多无人机系统任务分配

针对现有任务分配方法在任务点较多时不易解算,且计算量大的问题,提出了基于模糊C-均值聚类算法的多无人机系统任务分配方法.首先,利用模糊C-均值聚类算法得到的隶属度矩阵对任务点进行初始分配;其次,针对基于空间划分聚类可能造成各UAV任务不均衡的问题,设计任务的局部优化调整规则;最后,结合单旅行商问题,利用Tabu Sea...     

Quantifying the performance effects of idle time utilization in multiserver systems

In many practical multiserver queueing systems, servers not only serve randomly arriving customers but also work on the secondary jobs with infinite backlog during their idle time. In this paper, we propose a c‐server model with a two‐threshold policy, denoted by (e d), to evaluate the performance of this class of systems. With such a policy, when the number of idle servers has reached d (<c), then e (<d) idle agents will process secondary jobs. These e servers keep working on the secondary jobs until they find waiting customers exist in the system at a secondary job completion instant. Using the matrix analytic method, we obtain the stationary performance measures for evaluating different (e, d) policies. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2007.     

解析美国大学TESL硕士培养的主要课程与设置理据——以曼卡托明尼苏达州立大学为例

把英语作为第二语言的教学是20世纪60年代在美国兴起并逐步走向独立的科目,它在综合相关专业的同时正在朝专业化方向发展。近年来其硕士层面的教育为全球培养了大量合格的中小学英语教师,取得了较好的成绩。本文以曼卡托明尼苏达州立大学英语系为例,并结合笔者在该系攻读TESL硕士学位时的经历,解析其主要课程及设置理据。