导弹效能分析的模糊综合评判模型

本文对战略导弹系统效能的指标体系进行了研究和分析，给出了战略导弹武器系统效能分析中有效性和突防能力的模糊综合评判模型。     

洪灾综合风险分析方法讨论(Ⅱ)——基于集对分析理论

对洪灾系统作综合风险研究,已是防洪减灾理论发展的一大趋势.在洪灾风险的同异反综合分析方法(概念模型)的基础上,以不确定性系数i对风险的影响为切入点,并进行适当的扩展与变换,将同异反综合分析方法进一步深入,建立了洪灾综合风险分析的模拟模型框架,初步得到了洪灾综合风险分析的可行途径.     

模糊全序及偏序结构

以Fodor等人对模糊偏好构模的公理化方法的一个特例为基础,给出了模糊全序以及偏序结构的定义,并详细讨论了两个结构的性质。     

基于贝叶斯网络的供应链风险模糊综合评判

由于导致供应链失效的风险因素具有模糊性、复杂性,增加了供应链风险分析难度,一般的风险分析方法不能很好地评判供应链风险.文章提出了基于贝叶斯网络的供应链风险模糊综合评判方法,以某企业供应链风险为例,通过构建供应链失效风险的贝叶斯网络对风险事件发生概率进行线性推理,再采用模糊综合评判方法求出供应链风险中主要风险事件及总风险事件的风险等级,为该企业及早调控供应链提供依据.本评判方法可为企业供应链风险及其他类似风险的预防和控制提供参考依据.     

基于径向基函数神经网络的流程企业供应链预测仿真

本文在比较预测方法的基础上，采用径向基函数（RBF）神经网络技术建立流程企业供应链预测模型，进行了实例预测仿真，并将预测结果与BP网络的预测结果进行了比较。结果表明，RBF网络误差小于BP网络，其中平方根RBF网络的预测仿真误差最小，而BP网络的误差最大。     

基于径向基函数网络的虚拟物流企业伙伴选择方法研究

在对虚拟物流企业系统研究的基础上 ,针对虚拟物流企业伙伴选择问题的特点 ,给出了一个面对虚拟物流企业伙伴选择问题的较为全面的选择过程框架 .并提出了一个基于径向基函数网络算法的虚拟物流企业伙伴选择模型 ,实例仿真说明了该算法和模型的有效性 .     

基于敌意风险分析方法的多阶段反恐设备选址模型

恐怖袭击一直是人类安全的重要威胁之一。随着当前恐怖袭击在全球的频发,对反恐问题的研究更加急迫。针对反恐设施选址问题,考虑资源分配的多阶段性以及动态性,根据贝叶斯决策理论和序贯博弈思想,构建了多阶段反恐设施的敌意风险分析决策模型。讨论在城市多个设施点离散选址的不同情况下,通过预防性和修复性的资源分配将恐怖袭击的损失降低到最小。以上海市区县网络为例进行编程仿真测试,结果表明,模型可给出不同给定资源设定下的最优选址方案,是一种有效并切实可行的分析方法。     

基于等级划分的可信接入和修复模型研究

提出了一种基于等级划分的层次化可信接入框架和修复模型,详细说明了可信属性的划分规则和等级的评估方法以及修复模型的工作流程,着重阐明了基于该框架的实际应用和终端接入过程.仿真实验结果表明,框架在保证网络系统安全性和可信性的同时,能够增加终端接入网络的灵活性,并为各厂商可信网络设备的互联、互通和互操作提供支撑,而且修复模型部署简单,为不满足本地安全策略的终端提供方便可靠的修复服务.     

微观交通仿真与GIS数据共享的本体方法

针对微观交通仿真与GIS数据共享存在的数据冗余和低效的问题,基于本体理论,提出微观交通仿真与GIS数据共享框架,给出数据共享框架的分层设计.对微观交通仿真数据特征进行概括和抽象,研究并设计微观交通仿真本体.提出基于迭代思想的微观交通仿真本体(MTSON)构建方法,重点阐述微观交通仿真本体的需求获取、分析、设计与实现过程.最后以OWL为形式化描述语言,对获取的微观交通仿真本体进行表达,为微观交通仿真与GIS数据共享的平滑实现奠定了基础.     

贝叶斯网络仿真元模型及其在装备战场损伤仿真中的应用研究

结合装备战场损伤仿真系统,研究了贝叶斯网络仿真元模型的构建方法.从条件概率角度描述了仿真模型输入参数与输出参数之间的映射关系,研究了构建贝叶斯网络仿真元模型的可行性,分析了贝叶斯网络仿真元模型的优点;研究了贝叶斯网络仿真元模型构建过程中的关键问题,包括:元模型参数的确定、原始模型参数向贝叶斯网络节点的转化、联结强度的计算、衍生元模型的构建;针对不完全信息条件下装备战场损伤快速定位问题,研究了基于K2算法的贝叶斯网络仿真元模型构建方法;构建了某型高炮的战场损伤贝叶斯网络仿真元模型.     

A REPRESENTATION FORMULA RELATED TO SCHR(O)DINGER OPERATORS

Schr(o)dinger operator is a central subject in the mathematical study of quantum mechanics.Consider the Schrodinger operator H = -△ V on R, where △ = d2/dx2 and the potential function V is real valued. In Fourier analysis, it is well-known that a square integrable function admits an expansion with exponentials as eigenfunctions of -△. A natural conjecture is that an L2 function admits a similar expansion in terms of "eigenfunctions" of H, a perturbation of the Laplacian (see [7], Ch. Ⅺ and the notes), under certain condition on V.     

On a class of self-similar processes with stationary increments in higher order Wiener chaoses

We study a class of self-similar processes with stationary increments belonging to higher order Wiener chaoses which are similar to Hermite processes. We obtain an almost sure wavelet-like expansion of these processes. This allows us to compute the pointwise and local Hölder regularity of sample paths and to analyse their behaviour at infinity. We also provide some results on the Hausdorff dimension of the range and graphs of multidimensional anisotropic self-similar processes with stationary increments defined by multiple Wiener–Itô integrals.     

On a class of Riemann surfaces

It is considered the class of Riemann surfaces with dimT1 = 0, where T1 is a subclass of exact harmonic forms which is one of the factors in the orthogonal decomposition of the spaceΩH of harmonic forms of the surface, namely The surfaces in the class OHD and the class of planar surfaces satisfy dimT1 = 0. A.Pfluger posed the question whether there might exist other surfaces outside those two classes. Here it is shown that in the case of finite genus g, we should look for a surface S with dimT1 = 0 among the surfaces of the form Sg\K , where Sg is a closed surface of genus g and K a compact set of positive harmonic measure with perfect components and very irregular boundary.     

CONTENTS OF VOLUME 30

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Instructions for contributions

正Applied Mathematics-A Journal of Chinese Universities,Series B(Appl.Math.J.Chinese Univ.,Ser.B)is a comprehensive applied mathematics journal jointly sponsored by Zhejiang University,China Society for Industrial and Applied Mathematics,and Springer-Verlag.It is a quarterly journal with     

Journal of Mathematical Research with Applications Guide for Authors

正Journal overview:Journal of Mathematical Research with Applications(JMRA),formerly Journal of Mathematical Research and Exposition(JMRE)created in 1981,one of the transactions of China Society for Industrial and Applied Mathematics,is a home for original research papers of the highest quality in all areas of mathematics with applications.The target audience comprises:pure and applied mathematicians,graduate students in broad fields of sciences and technology,scientists and engineers interested in mathematics.     

Staircase transportation problems with superadditive rewards and cumulative capacities

A cumulative-capacitated transportation problem is studied. The supply nodes and demand nodes are each chains. Shipments from a supply node to a demand node are possible only if the pair lies in a sublattice, or equivalently, in a staircase disjoint union of rectangles, of the product of the two chains. There are (lattice) superadditive upper bounds on the cumulative flows in all leading subrectangles of each rectangle. It is shown that there is a greatest cumulative flow formed by the natural generalization of the South-West Corner Rule that respects cumulative-flow capacities; it has maximum reward when the rewards are (lattice) superadditive; it is integer if the supplies, demands and capacities are integer; and it can be calculated myopically in linear time. The result is specialized to earlier work of Hoeffding (1940), Fréchet (1951), Lorentz (1953), Hoffman (1963) and Barnes and Hoffman (1985). Applications are given to extreme constrained bivariate distributions, optimal distribution with limited one-way product substitution and, generalizing results of Derman and Klein (1958), optimal sales with age-dependent rewards and capacities.To our friend, Philip Wolfe, with admiration and affection, on the occasion of his 65th birthday.Research was supported respectively by the IBM T.J. Watson and IBM Almaden Research Centers and is a minor revision of the IBM Research Report [6].