新二元三角插值多项式的构造

设Ω=[-πxπ,-πyπ],C(Ω)表示关于x,y均以2π为周期的连续函数空间.若f(x,y)∈C(Ω),取结点组为(xk,yl)=(2k+2n 1)π,(2l 2+m 1)πk=0,1,2,…,2n,l=0,1,2,…,2m,则我们获得一个二元三角插值多项式Cn,m(f;x,y)=M1N∑k=2n0∑l=2m0f(xk,yl).1+2∑nα=1cosα(x-xk)+2∑mβ=1cosβ(y-yl)+4∑nα=1∑mβ=1cosα(x-xk)cosβ(y-yl)其中M=2m+1,N=2n+1.为改进其收敛性,本文构造一个新的因子ρα,β,使得带有该因子ρα,β的二元三角插值多项式Ln,m(f;x,y)可以在全平面上一致地收敛到每个连续的f(x,y),且具有最佳逼近阶.     

Pedestrian choice behavior analysis and simulation of vertical walking facilities in transfer station

Considering the interlayer height, luggage, the difference between queuing pedestrians, and walking speed, the pedestrian choice model of vertical walking facilities is established based on a support vector machine. This model is verified with the pedestrian flow data of Changchun light-rail transfer station and Beijing Xizhimen transfer station. Adding the pedestrian choice model of vertical walking facilities into the pedestrian simulation model which is based on cellular automata, the pedestrian choice behavior is simulated. In the simulation, the effects of the dynamic influence factors are analyzed. To reduce the conflicts between pedestrians in opposite directions, the layout of vertical walking facilities is improved. The simulations indicate that the improved layout of vertical walking facilities can improve the efficiency of pedestrians passing.     

协调分析法在出海物流通道决策中的应用

在分析影响出海物流成本和物流时间的因素的基础上 ,创建出海物流通道选择决策的指标体系 ,并利用层次分析法对各指标的权重进行计算 .以长春—日本新泻间的出海物流为例 ,利用创建的指标体系和经过处理后的原始数据 ,根据协调分析原理建立出海物流通道的决策模型 ,通过对模型计算结果的分析 ,对出海物流通道进行了决策     

图论与矩形对角线法在钻井布局优化设计中的应用

本对钻井布局问题的研究,首先给出图论模型对问题1得出最多可利用4口旧井,井号为2、4、5、10。利用矩形对角线法对问题2得出最多可利用6口旧井,井号为1、6、7、8、9、11。同时利用矩形对角线法给出判定这些井均可利用的条件和算法。     

一类多目标Lipschitz规划的对偶定理

Lipschitz函数定义了广义本性伪凸的概念,建立了多目标Lipschitz规划的Mond-Weir型对偶和Wolfe型对偶,证明了原规划与对偶规划之间的对偶定理。