应急联动区域下选址分配协同优化模型研究

针对我国现有应急储备库按照属地管理布局的不足,例如当受灾点发生重大灾害时,各应急储备库实行均匀配置,导致应急系统救援效率低以及资源的浪费,文章引入集合覆盖选址模型和"覆盖满意度"思想,将应急联动区域内的服务需求分为第一时间救援服务需求和后续救援服务需求,以应急服务成本最小和覆盖满意度最大为目标,建立应急联动下区域储备库选址分配协同优化模型.对四川省地震灾害下的应急储备库选址分配问题进行案例分析,考虑到各区县抗灾能力的不同,采用TOPSIS方法对模型中受灾点的脆弱性进行评价,并利用NSGA-Ⅱ算法对模型求解.研究表明,模型能降低应急联动区域内的应急服务成本,提升应急服务水平,同时模型可以为决策者提供多种优化方案.     

正态总体均值与标准差比在简单半序约束下的最大似然估计

本文考虑两个正态总体均值和方差是未知参数,均值与标准差的比在简单半序约束下,且样本个数不同时,计算均值和标准差的最大似然估计的问题.给出了计算均值和标准差的最大似然估计的方法.同时还给出了三个总体均值与标准差的比在简单半序约束下求均值和标准差的最大似然估计的计算方法,并给出了迭代算法的模拟结果.     

多元统计分析方法的理论研究及应用分析

多元统计分析在多指标实际问题的研究中起着重要的作用.以往文献中,一般采用某一种多元统计方法对一个多指标实际问题进行研究,但其结果存在一定的偏差性.采用四种典型的多元统计方法:主成分分析法、因子分析法、分层聚类和K-均值聚类方法对同一个多指标银行问题进行研究,并对四种方法的不同结果进行比较综合分析,这样可以避免单一方法的偏差性,以便得到的结果更合理、更具有说服力.     

基于数据挖掘技术的航空客户流失与细分研究及R语言程序实现

提高航空客运的上座率既能使航空资源得到充分利用,更能显著的增加航空公司的效益.主要从某航空公司旅客乘机记录中对航空公司的客户进行行为分析,采用数据挖掘技术,首先利用决策树方法对客户进行流失预测,然后利用K-均值聚类进行客户细分,将客户划分为五类,同时对客户进行价值评估,挖掘出有价值的客户,最后综合分析客户流失与客户细分结果,并提出相应的营销策略,从而达到提高上座率和效益的目标.     

多类型复发事件下的一类均值加速回归模型

在复发事件的统计分析中,事件的平均发生个数可能比其强度函数或危险率函数更具可解释性.为了评价协变量对复发事件的影响,许多学者考虑了复发事件的边际比例均值模型.然而,在许多实际应用中,协变量对复发事件不仅具有均值比例效应,而且还可能会加速或减缓复发事件的发生,即协变量对复发事件均值过程具有时间尺度效应.在多类型复发事件数据框架下,考虑一类广泛的加速均值模型.利用估计方程方法,获得了该模型中未知参数的估计,并且建立了所给估计的渐近性质.进一步通过模拟研究证实所提方法的优良表现.     

基于置信分布的多个对数正态总体的公共均值的置信区间的构建（英文）

在实际应用中需要拟合正的偏态数据时,对数正态分布是通常的选择.当通过多重比较确定了多个对数正态分布总体的均值相同时,如何能够利用更多的信息,同时使用这些对数正态分布总体的信息来构建公共均值的置信区间成为了众多学者颇为关注的问题.本篇文章提出了一种新的基于置信分布的方法来构建多个对数正态总体公共均值的置信区间,该方法通过对相关量的样本方差进行加权来提高效率.进而对文中提出的基于置信分布的置信区间的构建方法进行了蒙特卡洛模拟研究,模拟结果表明,我们提出的构建方法可以得到很好的覆盖概率和较短的区间宽度.文章的最后用三个实际数据来验证了文中所提出方法的表现.     

基于ICA的时间序列聚类方法及其股票数据分析中的应用

时间序列聚类分析是时间序列数据挖掘中的重要任务之一,通常由于时间序列数据的特殊结构,导致一般的聚类算法不能直接应用于时间序列数据.本文提出了一种基于独立成分分析与改进K-均值算法相结合的时间序列聚类算法,该算法首先利用独立成分分析对时间序列数据进行特征提取,然后利用改进K-均值聚类算法完成对时间序列特征数据的聚类分析,从而得到了一种新的基于特征的时间序列聚类方法.为了验证该方法的有效性和可行性,将其应用于实际的股票时间序列数据聚类分析中,取得了较好的数值结果.     

借助函数极限判断无限数列的敛散性

本文首先指出了什么是无限数列和无限数列的敛散性的特征,数列的敛散性和连续函数的极限的求值有怎样的关系?数列的敛散性必有其特殊的地方,同时,将连续函数的求极限的方法移植到数列敛散性的判别上,有哪些需要注意的地方.文中作者将针对两者关系进行了详细的论述.无限数列在无穷远处的项具有什么特点呢?或是渐近某一个数,或渐近某几个数,或在某几个数之间来回摇摆等等.当数列渐近某一个数时,无限数列收敛.无限数列敛散性的代数验证方法就是求其在无穷远处的极限.当极限结果为一个有限数时,无穷数列收敛,当极限结果为无穷或不存在时,称其发散.既然数列是一种特殊的函数,那么是否可以借助函数极限来求解数列的极限呢?     

K-框架的自然K-对偶Bessel序列

众所周知,自然K-对偶Bessel序列指的是所有K-对偶Bessel序列中分析算子的范数最小的那个K-对偶Bessel序列,但是通过该定义无法直接知道自然K-对偶Bessel序列的具体形式.本文先给出两种特殊情况下, K-框架的自然K-对偶Bessel序列的具体形式和最佳K-框架界.特别地,有限维Hilbert空间中的K-框架的最佳K-框架界可以用特征值来表示.最后,通过本文所得到的自然K-对偶Bessel序列的具体形式来刻画出所有的K-对偶Bessel序列.     

从15乘15的简便算法谈起

自从进人小学学习数学开始,我们就浸袍在计算的海洋里、与此同时,也出现了不少的"简便方法".这些简便算法对计算某一类问题非常有效,可以说是速度快、精度高,受到大家的喜爱.这里向大家介绍一类简便计算的方法,这种方法专门用来计算"十位数相同个位数是5"的两个数相乘的情况.     

Qualitative Analysis of Bifurcating Solutions in the Lengyel-Epstein Model

One of the most fundamental problems in theoretical biology is to explain the mechanisms by which patterns and forms are created in the＇living world. In his seminal paper ＂The Chemical Basis of Morphogenesis＂, Turing showed that a system of coupled reaction-diffusion equations can be used to describe patterns and forms in biological systems. However, the first experimental evidence to the Turing patterns was observed by De Kepper and her associates（1990） on the CIMA reaction in an open unstirred reactor, almost 40 years after Turing＇s prediction. Lengyel and Epstein characterized this famous experiment using a system of reaction-diffusion equations. The Lengyel-Epstein model is in the form as follows     

RECENT PROGRESS ON SPHERICAL HARMONIC APPROXIMATION MADE BY BNU RESEARCH GROUP ——In memory of Professor Sun Yongsheng

As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years （2001-2005）. The main topics are： convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths.     

(0,1 ;0)-INTERPOLATION ON INFINITE INTERVAL (-∞, +∞)

In this paper, we study the explicit representation and convergence of (0, 1; 0)-interpolation on infinite interval, which means to determine a polynomial of degree ≤ 3n - 2 when the function values are prescribed at two set of points namely the zeros of Hn(x) and H′n(x) and the first derivatives at the zeros of H′n(x).     

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.     

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.     

Boundedness for commutators of multipliers on Hardy type spaces

In this paper, we study the commutators generalized by multipliers and a BMO function. Under some assumptions, we establish its boundedness properties from certain atomic Hardy space Hb^p（R^n） into the Lebesgue space L^p with p 〈 1.     

A unified approach to certain problems of best local approximation

In this paper we study best local quasi-rational approximation and best local approximation from finite dimensional subspaces of vectorial functions of several variables. Our approach extends and unifies several problems concerning best local multi-point approximation in different norms.     

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.     

Journal of the Operations Research Society of China Special issue on Operations Research in Healthcare Management

正Guest Editors:Hong Chen,Shanghai Jiao Tong University,Shanghai,China Guohua Wan,Shanghai Jiao Tong University,Shanghai,China David Yao,Columbia University,New York,USA Scope:Healthcare delivery worldwide has been fraught with high cost,low efficiency and poor quality of patient care service.For the field of operations research(OR),healthcare offers some of the biggest challenges as well as best opportunities in