关于销售集团投资设置销售分店问题的IP模型

针对一个实际投资实例建立了一个基于 0 -1背包问题的数学模型 ,并利用多个算法加以求解 ,并对结果进行了比较 .该模型具有很高的应用价值和参考价值 .     

A networking method to compare theories: metacognition in problem solving reformulated within the Anthropological Theory of the Didactic

An important role of theory in research is to provide new ways of conceptualizing practical questions, essentially by transforming them into scientific problems that can be more easily delimited, typified and approached. In mathematics education, theoretical developments around ‘metacognition’ initially appeared in the research domain of Problem Solving closely related to the practical question of how to learn (and teach) to solve non-routine problems. This paper presents a networking method to approach a notion as ‘metacognition’ within a different theoretical perspective, as the one provided by the Anthropological Theory of the Didactic. Instead of trying to directly ‘translate’ this notion from one perspective to another, the strategy used consists in going back to the practical question that is at the origin of ‘metacognition’ and show how the new perspective relates this initial question to a very different kind of phenomena. The analysis is supported by an empirical study focused on a teaching proposal in grade 10 concerning the problem of comparing mobile phone tariffs.     

Error bounds for the clenshaw-curtis quadrature formulas

Davis' method is employed to obtain bounds on the errors of the Clenshaw-Curtis quadrature schemes based on practical as well as classical abscissas. Also, bounds are obtained on the error of the Gauss-Legendre cubature formula applied to analytic functions.     

Approximate analysis of the delivery splitting model

The concept of order splitting has been proposed primarily to enable buyers to obtain substantial inventory savings. In this paper we investigate the order splitting concept from the suppliers point of view, referred to as delivery splitting. We will show that for the supplier considerable cost savings can be obtained by using the concept of delivery splitting, although the motivation and the practical implementation can be different for buyer and supplier. Also we will show that an analytical (although approximative) treatment of the delivery splitting concept is feasible, which brings the concept within reach of practical implementation.     

探讨Abel积分零点的一个定理

本文研究了具有中心环域的可积多项式系统,探讨此系统在用多项式进行微扰的情况下,其所对应的Abel积分的零点个数的计算方法,给出了一个较为实用的定理,并举出了若干个应用的例子．     

拟因子试验设计在生产中的应用

根据生产实际,综合利用并列、赋闲列和拟水平试验设计,运用多重比较进行方差分析,寻找水泥熟料的最佳工艺.不仅解决了不同水平多因素试验问题,同时还可考虑交互作用,大大减少了试验次数,从而提高经济效益.     

An integral expansion for analytic functions based upon the remainder values of the Taylor series expansions

In this work, by using a special property in the integral representation of the remainder value of the Taylor series expansion, we introduce a new expansion for analytic functions. We also give several interesting consequences of this expansion formula as well as some practical examples in order to illustrate the subject presented here.     

公务员最优录用分配方案的数学模型

本文通过建立0-1规划模型,设计了一种公务员招聘中的最优录用分配方案,并运用L INGO软件求得了一个实际问题的最优解.     

课堂教学评估中权重的制定方法探讨

本文介绍了多元统计分析在教学评估体系指标权重制定中的应用。结合具体例子用wilcox onsigned rank检验法和spearman相关系数对各种结果作了比较,并根据实际意义选出其中较好的结果作为评估函数。     

Finding the K shortest hyperpaths using reoptimization

We present some reoptimization techniques for computing (shortest) hyperpath weights in a directed hypergraph. These techniques are exploited to improve the worst-case computational complexity (as well as the practical performance) of an algorithm finding the K shortest hyperpaths in acyclic hypergraphs.     

Acceleration of the leastpth algorithm for minimax optimization with engineering applications

Over the past few years a number of researchers in mathematical programming and engineering became very interested in both the theoretical and practical applications of minimax optimization. The purpose of the present paper is to present a new method of solving the minimax optimization problem and at the same time to apply it to nonlinear programming and to three practical engineering problems. The original problem is defined as a modified leastpth objective function which under certain conditions has the same optimum as the original problem. The advantages of the present approach over the Bandler-Charalambous leastpth approach are similar to the advantages of the augmented Lagrangians approach for nonlinear programming over the standard penalty methods.This work was supported by the National Research Council of Canada under Grant A4414, and from the University of Waterloo.     

Some remarks on the efficient algorithms of numerical statistical simulation

Some numerical algorithms for the simulation of random variables and functions, as well as for parametrical numerical statistical analysis are considered. Specifications and explanations of the algorithms important for practical purposes are given.     

指数跟踪资产组合选股与原始数据处理对实证操作的影响

本文讨论用算法择优选股并研究股票与指数的相关性特征;以及对数据进行加工处理、采用数据平滑处理,平均加权、不平均加权,以解决实际问题中出现的具体情况：减缓因股市的短期震荡对再平衡的不利影响．并讨论各种处理方法对不同股市样本的效果,并且由此分析各种处理方法的特点及适用情况,以期提供给决策者以多方位的信息．在已有的模型中,这方面的研究并不多,尤其是结合中国股市的实证方面的工作是欠缺的．本文使用上证180在2006年的实际样本数据进行了数值实验并对结果进行比较,实证说明本文的处理方法是有效的、并对实际操作者有借鉴意义．     

A new method to simulate the triangular distribution

A new method is developed to simulate the triangular distribution. The result is of interest from a practical as well as a theoretical viewpoint. The new method is surprisingly simple and is more efficient than the standard method of simulation by inversion of the cumulative distribution function. The method is also generalized to simulate the two-sided power distribution.     

Constructing integer programming models by the predicate calculus

A modelling language for Integer Programming (IP) based on the Predicate Calculus is described. This is particularly suitable for building models with logical conditions. Using this language a model is specified in terms of predicates. This is then converted automatically by a series of transformation rules into a normal form from which an IP model can be created. There is also some discussion of alternative IP formulations which can be incorporated into the system as options. Further practical considerations are discussed briefly concerning implementation language and incorporation into practical Mathematical Programming Systems.     

一类超曲面构造变量分离法及其应用

以实际工程应用为背景 ,将具有某种物理意义的量 (如时间等 )与空间位置变量分而治之 ,提出一类超曲面构造变量分离的各种算法 ,对它们进行算法分析比较 ,探讨分离次序可变换性条件和变量分离法构造的超曲面的连续性 ,并应用该方法解决飞机表面压强值重建的实际应用问题     

减轻水库破坏深度的多目标调度模型与方法

本文根据出力均匀化的原则建立多目标优化模型求解出调度方案 ,并结合水库实例计算 ,指导水库实际的调度以减轻水库破坏程度 .     

Finding the projection of a point onto the intersection of convex sets via projections onto half-spaces

We present a modification of Dykstra's algorithm which allows us to avoid projections onto general convex sets. Instead, we calculate projections onto either a half-space or onto the intersection of two half-spaces. Convergence of the algorithm is established and special choices of the half-spaces are proposed.The option to project onto half-spaces instead of general convex sets makes the algorithm more practical. The fact that the half-spaces are quite general enables us to apply the algorithm in a variety of cases and to generalize a number of known projection algorithms.The problem of projecting a point onto the intersection of closed convex sets receives considerable attention in many areas of mathematics and physics as well as in other fields of science and engineering such as image reconstruction from projections.In this work we propose a new class of algorithms which allow projection onto certain super half-spaces, i.e., half-spaces which contain the convex sets. Each one of the algorithms that we present gives the user freedom to choose the specific super half-space from a family of such half-spaces. Since projecting a point onto a half-space is an easy task to perform, the new algorithms may be more useful in practical situations in which the construction of the super half-spaces themselves is not too difficult.     

Generalized Integral Transforms with the Homotopy Perturbation Method

This paper applies He’s homotopy perturbation method to compute a large variety of integral transforms. The Esscher, Fourier, Hankel, Laplace, Mellin and Stieljes integrals transforms are particular cases of our generalized integral transform. Our method is of practical importance in order to derive new integration formulae, to approximate certain difficult integrals as well as to calculate the expectation of certain nonlinear functions of random variable.     

税源预测的数学模型

税源预测是财税部门的重要工作。本文通过实例提出税源预测中常用的折扣最小二乘法、一元线性回归、税收弹性及马尔柯夫预测方法等数学模型，使预测税源工作定量化、科学化。