可拓法在地铁施工安全风险评价中的应用

·:根据地铁施工的特点及地铁工程施工安全评价标准,比较全面、系统地构建了地铁施工安全风险评价指标体系,采用AHP和熵权结合的方法确定权重,建立以可拓法为核心的地铁施工安全风险的多级可拓评价模型.并以郑州地铁3号线为实例,确定该线路及其子系统的风险评价等级,针对评价结果提出提高地铁施工安全的有效措施,为地铁施工安全风险评价提出一种有效的评价方法.     

基于熵权-Vague集赋权可拓模型的地铁车站施工安全性评价研究

地铁施工风险因素具有多样性和复杂性,为准确评价风险因素对地铁车站施工安全性的影响,从施工环境、施工人员及管理、施工机械设备以及施工技术四个维度确定风险指标,建立施工安全性评价指标体系,综合采用熵权法和Vague集理论,对评价指标进行权重计算,并且结合物元可拓模型对地铁车站施工安全性进行评价.最后通过实例应用表明:该模型适用于地铁车站施工安全性评价,具有良好的针对性、客观性和可操作性.     

基于物元可拓法的轨道交通PPP项目风险评价研究

风险评价是风险控制的前提,风险控制对项目成功实施至关重要.文章通过文献查阅和专家访谈梳理了PPP(Public-Private-Partnership)项目风险,建立涵盖37条指标的轨道交通PPP项目风险指标体系,构建基于物元可拓法的风险评价模型,以呼和浩特轨道交通PPP项目为例,对其项目风险进行了评价,提供一种PPP项目风险事前事中评价的方法,给项目相关方的项目风险评价和管理提供参考.     

基于AHM-MEET的分布式能源发电项目后评价研究

分布式能源供给方式对解决能源供需矛盾、环境恶化等问题具有突出作用.为研究其在发电项目中的运用效果,对其进行项目后评价分析.首先,针对分布式能源发电项目的特点,对其建立系统的项目后评价指标体系,并引入物元可拓理论分析法构建综合可拓评价模型,结合AHM法确定了影响分布式能源发电项目后评价各层次指标的权重.然后在此基础上建立了基于AHM-MEET的分布式能源发电项目后评价综合系统.最后通过实例验证了该后评价综合系统的可行性与科学性,丰富了分布式能源发电项目后评价理论.     

基于可拓物元模型的技术协同创新风险评价研究——基于企业主体的视角

基于可拓物元理论,对基于企业主体视角的技术协同创新风险进行评价分析.在技术协同创新关键风险指标体系的基础上,构建了企业技术协同创新风险测评的可拓物元模型.以各项关键风险因素的专家打分原始数据为依据,对各项风险因素指标的专家打分的平均值进行归一化处理,并将归一化结果作为企业技术协同创新关键风险因素的权重系数,提高了企业技术协同创新风险度量的精确度和时效性.最后,以某企业与北京科技大学的协同创新项目进行了实证分析.     

基于可拓学的技术创新项目评价应用研究

将可拓优度评价方法应用于企业技术创新项目选择过程之中 ,并甄选了一组技术创新项目评价的通用指标 ,通过实例应用的研究 ,分析了该评价模型的应用方法及特点 .     

基于可拓学的暴雨泥石流灾害预警研究

为了对暴雨型泥石流灾害进行较为准确的实时预警,选取泥石流主要的影响因子作为评价指标,应用可拓学理论建立泥石流预警模型.根据各个评价指标的特征建立相应的关联函数并计算关联度,结合层次分析法确定指标权重,计算得到泥石流预警等级.方法为泥石流灾害预警提供了定量化的研究思路.     

电动汽车充换电站选址规划的可拓评价研究

为对未来电动汽车的充换电站的选址规划决策提供科学依据和理论支持,建立电动汽车充换电站选址决策的评价指标体系.运用可拓学理论和方法,构建了基于可拓方法的电动汽车充换电站选址合理性的可拓评价模型,基于熵权法确定评价指标权重.最后通过一个仿真算例验证所提模型的正确性和有效性.     

基于层次分析-可拓模型的公路隧道施工风险评估

公路隧道施工存在的风险因素较多、较为复杂,运用科学的方法对公路隧道施工风险进行评估,具有一定的现实意义.首先,从地质条件、开挖断面等四个方面对风险进行划分,建立公路隧道施工风险评估指标体系.其次,运用层次分析法确定各评估指标权重,基于该权重建立层次分析-可拓模型,综合考虑公路隧道施工风险发生的概率及带来的损失,将风险定级.最后,结合湖南地区某公路隧道工程进行实例分析,得出地质条件风险、开挖断面风险、隧洞施工风险、洞口工程风险分别为高、较高、中等、较高,总体风险为较高的结论.在项目实施过程中,风险的现场调研情况与评估结果较为接近,证明了方法可行.运用层次分析-可拓模型对公路隧道施工风险评估是一种新的尝试,能够为同类问题的研究提供借鉴.     

科技进步状况的多指标可拓综合评价

利用多指标非线性可拓数学综合评价方法 ,分析了科技发展的各种影响因素 ,利用主成分分析法确定评价因子 ,建立了科技发展状况可拓综合评价的物元模型 .通过实例说明该评价方法的实际应用 .     

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].