A three level location-inventory problem with correlated demand

This paper considers a three level location-inventory problem where demand across the retailers is assumed to be correlated. We first present a reformulation scheme by which the initial formulation is transformed into a mixed integer conic quadratic program. In addition, we propose a solution approach based on an outer approximation strategy and show the algorithmic advantage of such framework for this class of programs. The results from numerical experiments show that the proposed solution procedure clearly outperforms state-of-the-art commercial solvers. In addition, we show that neglecting the effect of correlation can lead to substantially sub-optimal solutions.     

关于小样本置信区间

主要小样本问题中，对于参数或者非参数的估计，如何构造单侧或者双侧置信区间的方法，通过解方程组求得参数（或参数的函数）的Ｍ－估计，并得到一个重要的结论。     

最佳逼近线性化与常规线性化方法的比较

本文给出了最佳逼近线性化方法与台劳级数线性化方法的比较,说明了两种方法适用的范围,并进行了误差分析。     

高维欧氏空间上无界连续函数逼近的渐近公式

利用扩展乘数法讨论了高维氏空间上线性正算子改造为逼近多元无界连续函数的渐近估计，给出了具有一般性的渐近公式，作为实例研究了多元非乘积型的Landau多项算子逼近多元无界连续函数的渐近估计式，推广了前人的若干结论。     

多学科优化设计在半潜式钻井平台设计中的应用

多学科优化设计（Multidisciplinary Design Optimization，MDO）是通过考虑学科之间的相互耦合来挖掘设计潜力，通过系统的综合分析来进行方案的选择和评估的一种应用于工程设计阶段的先进设计理念和设计方法，能够达到提高设计效率，降低设计成本的目的。半潜式钻井平台是具有高复杂度的工程系统，在其方案设计中要考虑到水动力学、结构力学、动力定位、工程应用以及成本分析等多个学科，非常适合于多学科优化设计的应用。以半潜式钻井平台方案设计为例，介绍了如何使用多学科优化设计来考虑影响平台的多个因素之间的耦合关系，以确定平台的主尺度，来获得最佳的平台总体性能；介绍了应用多学科优化设计时的三个重要关键技术：复杂问题的分解、数学建模和近似模型技术。     

直墙式建筑物上立波作用力计算的讨论

采用Fourier近似立波数值解计算直墙式建筑物上的立波作用力,以典型波浪条件的计算结果为例,比较了数值解和我国以及日本现行规范计算方法的差异,指出了两种规范中有待进一步改进之处。     

一类奇异积分算子与无界连续函数逼近

利用扩展乘数法建立了Мцракъян算子逼近全实轴上任意无界连续函数的收敛性定理，给出了具有一般性的结论，从而推广了前人的若干重要定理．     

Dynamic response of a surface ship structure subjected to an underwater explosion bubble

Bubble load in a noncontact underwater explosion can cause the ship hull global response and local response. In current literature, the ship hull is usually simplified as a hull girder to analyze its global response. However, literature dealt with the local response of a 3-D surface ship hull subjected to an underwater bubble were limited. This investigation develops a procedure which couples the finite element method with doubly asymptotic approximation (DAA) method to study the problem of transient responses of a ship hull structure subjected to an underwater explosion bubble. Using a 3-D ship model as examples, the global and local responses of the ship model in vertical, transverse and longitudinal directions are performed in detail. The acceleration, velocity and displacement time histories are presented. The characteristics of both the global and local responses of the ship model are discussed. The numerical results show that besides global whipping response, the ship hull also sustains severe local responses in different directions subjected to underwater explosion bubble jetting, which should be taken into consideration.     

谱约束下广义中心对称矩阵的最佳逼近解及扰动分析

研究了一类广义中心对称结构的有限元模型修正的数学理论和方法．首先将模型修正问题处理为约束矩阵的最佳逼近问题，给出最佳逼近解的表达式．重点讨论了逼近解的扰动理论，并对稀疏结构的模型给出了保结构的算法．数值例子表明该方法是行之有效的．     

基于“服务型”物流战略的p—Center选址问题研究

介绍了物流战略和图中心的概念,针对、服务型”物流战略,钭大规模配送网络的多本着中心选址问题抽象为求解图的多中心（p-Center)问题,并证明了无论是顶点p-Center问题均存在近似度为2的顶点解,最后,基于此定理,给出了选址问题的一个多项式2－近似算法。