非线性积分方程的周期解

以（Cg,｜.｜g）为相空间,研究具有无限时滞非线性积分方程周期解的存在性,利用Schauder-Tychonov不动点定理证明方程解的g一致有界性和g一致最终有界性蕴含周期解的存在性。     

中立型泛函微分方程解的有界性

对于有限时滞中立型泛函微分方程,利用Liapunov泛函的方法,研究了方程解的有界性,得到了便于应用的判据。     

卡尔曼滤波框架下优化增益异类噪声处理方法及其应用

针对基于卡尔曼滤波框架算法只能处理已知高斯噪声系统的局限性,设计能够同时处理含有异类噪声系统的改进算法。将不确定系统受到的干扰分成高斯噪声和未知有界噪声,对噪声特点进行分析,并将其加入状态方程和观测方程;在吸收集员滤波优点的基础上,对标准卡尔曼滤波进行改进,通过计算包含两种异类噪声系统状态的最小均方误差,得到该条件下滤波增益的调整值;将利用集员滤波得到的状态统计量以及两类噪声信息和调整后的滤波增益代入卡尔曼滤波体系,得到改进后的滤波算法。将提出的改进方法应用于不确定车辆导航系统中进行解算,仿真结果表明:改进滤波方法能够有效克服异类噪声的干扰,性能优于扩展卡尔曼滤波方法,对异类噪声具有较好的抵抗能力。     

正规模糊测度空间上的条件期望

讨论了次可加、具有有界变差的正规模糊测度空间上关于模糊测度、内测度及模糊积分的性质，在此基础上定义了此模糊测度空间上随机变量的条件数学期望，它是相对于经典测度空间的一个推广。     

Selling to strategic and loss‐averse consumers: Stocking,procurement, and product design policies

Motivated by the presence of loss‐averse decision making behavior in practice, this article considers a supply chain consisting of a firm and strategic consumers who possess an S‐shaped loss‐averse utility function. In the model, consumers decide the purchase timing and the firm chooses the inventory level. We find that the loss‐averse consumers' strategic purchasing behavior is determined by their perceived gain and loss from strategic purchase delay, and the given rationing risk. Thus, the firm that is cognizant of this property tailors its inventory stocking policy based on the consumers' loss‐averse behavior such as their perceived values of gain and loss, and their sensitivity to them. We also demonstrate that the firm's equilibrium inventory stocking policy reflects both the economic logic of the traditional newsvendor inventory model, and the loss‐averse behavior of consumers. The equilibrium order quantity is significantly different from those derived from models that assume that the consumers are risk neutral and homogeneous in their valuations. We show that the firm that ignores strategic consumer's loss‐aversion behavior tends to keep an unnecessarily high inventory level that leads to excessive leftovers. Our numerical experiments further reveal that in some extreme cases the firm that ignores strategic consumer's loss‐aversion behavior generates almost 92% more leftovers than the firm that possesses consumers’ loss‐aversion information and takes it into account when making managerial decisions. To mitigate the consumer's forward‐looking behavior, we propose the adoption of the practice of agile supply chain management, which possesses the following attributes: (i) procuring inventory after observing real‐time demand information, (ii) enhanced design (which maintains the current production mix but improves the product performance to a higher level), and (iii) customized design (which maintains the current performance level but increases the variety of the current production line to meet consumers’ specific demands). We show that such a practice can induce the consumer to make early purchases by increasing their rationing risk, increasing the product value, or diversifying the product line. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 435–453, 2015     

提供有界延迟服务的网络结构

将来的计算机网络必须支持具有不同通信量和不同服务质量（ＱｏＳ）要求的应用，有界延迟服务保证所有应用包的延迟都不超过给定延迟上界。本文首先提出有界延迟实时服务网络的框架，详细说明了其关键部件的功能和工作原理，并阐述了分析它们性能的技术，最后讨论了设计有界延迟服务网络在性能与实现复杂性之间的折衷。     

度量空间的非标准特性(Ⅱ)

本文在文《度重空间的非标准特性（Ⅰ）》的基础上,用非标准分析方法刻划了度量空间上的全有界映射与紧映射的许多特性,并给出了一个赋范线性空间的维数有限的非标准特征。最后,在赋范线性空间中,通过弱拓扑性质的非标准刻划,简洁地证明了Ｅｂｅｒｌｅｉｎ－Ⅲ定理。     

一种系统存在有界干扰的混合自适应极点配置方案

主要讨论了确定性单输入单输出连续时间系统存在有界干扰时的混合自适应极点配置问题,给出了一种间接式混合自适应极点配置方案,并以某飞行器自动驾驶仪为例,对该方案进行了数字仿真,结果表明,该方案能有效地抑制有界干扰的不利影响。     

一类不匹配不确定非线性系统鲁棒变结构控制

针对一类具有不匹配非参数化不确定性的非线性系统 ,设计出一种鲁棒变结构控制器。该控制器能够保证当时间 t趋于无穷时 ,闭环控制系统的输出跟踪误差趋于零。仿真实例说明了该控制器具有满意的控制效果     

Price and capacity decisions of service systems with boundedly rational customers

We consider price and capacity decisions for a profit‐maximizing service provider in a single server queueing system, in which customers are boundedly rational and decide whether to join the service according to a multinomial logit model. We find two potential price‐capacity pair solutions for the first‐order condition of the profit‐maximizing problem. Profit is maximized at the solution with a larger capacity, but minimized at the smaller one. We then consider a dynamically adjusting capacity system to mimic a real‐life situation and find that the maximum can be reached only when the initial service rate is larger than a certain threshold; otherwise, the system capacity and demand shrink to zero. We also find that a higher level of customers’ bounded rationality does not necessarily benefit a firm, nor does it necessarily allow service to be sustained. We extend our analysis to a setting in which customers’ bounded rationality level is related to historical demand and find that such a setting makes service easier to sustain. Finally we find that bounded rationality always harms social welfare.