混凝土搅拌站的选址问题研究

混凝土搅拌站的选址,在施工中占有十分重要的地位.针对混凝土需求随时间不规则变化的情况以及混凝土有效期短等特点,提出了混凝土需求不规则变化的选址模型.该模型把选址与各个时间段的资源配置结合起来确定混凝土搅拌站的位置,在保证需求最大限度得到满足的同时,使选址能够兼顾到尽可能多的需求点,最大化搅拌站的利润.应用该模型和算法成功地解决了一个实际问题,算例验证了模型和算法的有效性.     

基于整数规划的医疗卫生服务中心选址模型

根据农村医疗卫生服务中心的特点,结合卫生服务人数限制、费用限制、距离限制等决定因素建立了卫生服务中心选址模型,分析了层次分析法及隐枚举法求解医疗卫生服务选址模型的差异性.结果显示:所建立的医疗卫生服务中心选址模型在限制条件下能够最大程度的满足人民群众对卫生服务的需求,且隐枚举法求解0-1整数规划比层次分析更具有可行性与有效性.     

奥运临时超市选址的优化模型

首先依据问卷调查的数据,分析了年龄结构、购物需求、出行、用餐方式之间的关系,然后进一步用逐步回归方法找出了对顾客消费额影响较大的因素为年龄结构、性别结构.以此为依据测算出20个商区的人流量的百分比分布,其中人流量最大的节点依次为:A6,B6,C4.对于各商区的人流量先折换成实际购物的标准人,然后以此作为超市规模的确定标准建模求解,建立以商业营利最大为目标,超市分布均衡及满足购物需求为约束的整数规划的选址模型,确定了在不同超市规模下,A、B、C三区应拥有的超市个数及各超市的具体所在.     

多路径下应急资源调度的非线性混合整数规划模型

本文通过对地震、瘟疫、恐怖袭击等灾害发生的特点与调运应急资源的机理进行分析,兼顾已发生地点的需求和其它地点潜在发生事故的可能性,建立非线性混合整数规划模型。从资源调运过程中的多路径以及不同的路径由于所受到不确定性的干扰和阻碍,往往引起随机的调运效率降低等情况进行考虑,最小化资源救助点到不同资源需求点的时间总量,同时对于已出事点与潜在出事点,利用发生概率作为权重进行轻重区别,由此使研究更贴近实际应用。最后给出算例对模型进行分析求解,验证了模型的可行性。     

校车安排问题

探讨如何安排校车运行使得教师和工作人员尽量满意的问题.首先建立动态规划模型和选址规划模型,求出合理站点位置及其总距离.然后用归一法定义满意度与距离的函数关系,考虑各区域人数,建立选址规划模型.得到合理站点位置和总满意度.之后建立双目标非线性规划模型,利用量纲分析法给出权重,以此求出合理乘车位置和满意度.最后对问题进行推...     

路政应急管理中资源布局的混合整数规划模型

本文根据道路灾害事故的发生特点,对城市路桥养护系统的运行模式和资源的合理调用机理进行分析,考虑到事发地点潜在的资源需求概率,建立资源布局的混合整数规划模型.本模型中资源布局方案的调度决策基础是在灾害事故的资源需求不发生变化的条件下,使得每个救助点的资源同时部分地为辖区内现有事故和潜在事故服务,而现有事故的剩余需求由其他救助点派出资源来满足.该模型的目标是解决城市中因同一时间段内发生两起灾害事故而造成路桥破坏导致的救助资源短缺问题,同时避免资源的闲置浪费.最后,通过算例证明,本方法较通常方法对城市总的资源配置量大大减少.     

不确定需求下应急资源配置的鲁棒优化方法

考虑灾害发生时需求不确定的条件,建立了二阶段决策数学规划模型,解决针对自然灾害的应急资源配置问题.将灾害发生后的各个灾区的需求量表示为区间型数据.利用可调整鲁棒优化的思想解决含有不确定需求的资源配置模型.数值试验表明,建立的模型是实际可行的,求解方法保证了解的鲁棒性.     

基于时间满意度的应急物资储备库选址问题

基于应急物资配送过程中时间因素的重要性,将时间满意度引人应急物资储备库选址问题中.针对时间满意度为线性分段函数,建立了以时间满意度最小的需求点的时间满意度尽量大以及系统总费用最小为目标的双目标混合整数规划模型,对目标函数的最小最大值问题进行转化,在此基础上构造新的优化模型,并设计了相应的启发式算法求解.最后通过算例说明算法的可行性和有效性.     

化工园区应急设施区间规划选址模型研究

应急设施选址受应急物资需求量的影响。为优化应急设施选址布局,提高突发事件应急处置能力,以化工园区突发事件为研究背景,对化工园区突发事故下应急设施选址进行研究。考虑到化工园区突发事件的随机性和复杂性、突发事件应急物资需求的不确定性等特点,以应急设施选址安全性最大、经济性和服务效益最好为目标,基于传统确定性应急设施选址模型,构建了不确定需求条件下化工园区应急设施选址区间规划数学模型。模型中应急物资需求量是一个区间值,通过引入区间规划理论和模糊理论对模型进行求解,不仅避免了不确定参数随机概率分布的波动率,而且也降低了模型求解过程中的不确定性。最后,以园区各企业潜在事故为工程背景进行实例分析,得到园区应急设施的布局方案。结果表明,模型的求解效果较好,可为园区应急设施选址决策提供参考依据。     

随机需求模型和多目标规划模型在会议筹备问题中的应用

首先介绍了单时期随机需求模型和多目标规划模型及其求解方法,然后以实例说明了这两种模型在解决大型会议筹备问题中的应用。     

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.     

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.     

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.     

THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS

<正>August 10-14,2015Beijing,ChinaThe International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists     

Towards Excellence in Science Chinese Academy of Sciences

<正>May 26,2014,Beijing Science is a human enterprise in the pursuit of knowledge.The scientific revolution that occurred in the 17th Century initiated the advances of modern science.The scientific knowledge system created by     

Bounds for the zeros of polynomials

Let P(z)=∑↓j=0↑n ajx^j be a polynomial of degree n. In this paper we prove a more general result which interalia improves upon the bounds of a class of polynomials. We also prove a result which includes some extensions and generalizations of Enestrǒm-Kakeya theorem.     

Boundedness of commutators related to Marcinkiewicz integrals on hardy type spaces

In this paper, the authors study the boundedness of the operator [μΩ, b], the commutator generated by a function b ∈ Lipβ(Rn)(0 ＜β≤ 1) and the Marcinkiewicz integrals μΩ, on the classical Hardy spaces and the Herz-type Hardy spaces in the case Ω∈ Lipα(Sn-1)(0 ＜α≤ 1).     

Jacobi polynomials used to invert the laplace transform

Given the Laplace transform F(s) of a function f(t), we develop a new algorithm to find an approximation to f(t) by the use of the classical Jacobi polynomials. The main contribution of our work is the development of a new and very effective method to determine the coefficients in the finite series expansion that approximation f(t) in terms of Jacobi polynomials. Some numerical examples are illustrated.     

Generalization of the interaction between Haar approximation and polynomial operators to higher order methods

In applications it is useful to compute the local average empirical statistics on u. A very simple relation exists when of a function f（u） of an input u from the local averages are given by a Haar approximation. The question is to know if it holds for higher order approximation methods. To do so, it is necessary to use approximate product operators defined over linear approximation spaces. These products are characterized by a Strang and Fix like condition. An explicit construction of these product operators is exhibited for piecewise polynomial functions, using Hermite interpolation. The averaging relation which holds for the Haar approximation is then recovered when the product is defined by a two point Hermite interpolation.