快速判断点是否在自交多边形内的方法

提出一种新方法，检测一个点是否在多边形和环内。此方法从检测点发出一条射线，根据边与射线的位置关系，定义了边相对于射线的位置函数，然后计算出所有边的位置函数之和，据此判断检测点是否在多边形和环内。该方法不仅能够检测简单多边形，还可用于检测自交多边形，并能同时检测多个多边形。实验结果表明，该方法简单，可靠，检测速度快。     

A criterion for the similarity of length-two elements in a noncommutative PID

This paper presents a criterion for the similarity of length-two elements in a noncommutative principal ideal domain. The criterion enables the authors to develop an algorithm for determining whether B ₁ A ₁ and B ₂ A ₂ are similar, where A ₁,A ₂,B ₁,B ₂ are first-order differential (difference) operators. The main step in the algorithm is to find a rational solution of a parametric differential (difference) Risch’s equation, which has been well-studied in symbolic integration (summation).     

一类非线性中立型时滞系统的稳定性判据

考虑了一类具有非线性扰动的中立型时滞系统的鲁棒稳定性问题.系统状态的时滞是时变的.基于增广Lyapunov-Krasovskii泛函和自由权矩阵的方法,推导出保证系统在非线性扰动作用下渐近稳定的时滞依赖条件.所得到的判据以线性矩阵不等式的形式给出.由于在估计Lyapunov泛函导数上界的过程中既没有进行模型变换,也没有引入不等式放缩技术,所以得到的结果有较小的保守性.最后,通过一个数值算例验证了所提方法的有效性以及较已有工作的改进.     

一种混合型多属性决策问题的TOPSIS方法

研究了精确数、区间数和模糊数指标相结合的混合多属性决策问题，提出了一种基于理想点的多属性决策模型，给出具体的决策方法和过程．各方案的排序是根据其到正理想解的相对贴近度大小进行的，从而为解决混合多属性决策问题提供了一条新的途径．     

A new procedure for testing normality based on the L 2 Wasserstein distance

This paper proposes a new goodness-of-fit test for normality based on the L ₂ Wasserstein distance. The authors first construct a probability through the Bootstrap resampling. Although the probability is not distributed uniformly on the interval (0, 1) under the null hypothesis, it is shown that its distribution is free from the unknown parameters, which indicates that such a probability can be taken as the test statistic. It emerges from the simulation study of power that the new test is able to better discriminate between the normal distribution and those distributions with short tails. For such alternatives, it has a substantially better power than existing tests including the Anderson-Darling test and Shapiro-Wilk test, which are two of the best tests for normality. In addition, the sensitivity analysis of tests is also investigated in the presence of moderate perturbation, which shows that the new test is a rather robust test.     

A PURCHASING DECISION： SELECTING A SUPPLIER FOR A CONSTRUCTION COMPANY

1. Introduction Since the purchasing function has become vital in determining the profitability and survival of business organizations, it has been receiving considerable attention. As Sarkis and Talluri (2002) indicated, buyer-supplier relationships based solely on price are no longer acceptable. The increasing importance of supplier selection decisions is forcing organizations to rethink their purchasing and evaluation strategies because a successful purchasing decision directly depends on …     

A differential game model for a developing and a developed country

A differential game (DG) model for a developing and a developed country is considered. Each player makes decisions about how much resource to be used to restrict the opponent's development so as to maximize his weighted sum of current consumption and final output. Current consumption is assumed to be preferred to final output for both players. The developing country is assumed to have a higher economic growth rate and a higher preference to final output, whereas the developed country is assumed to have a higher initial income and a higher efficiency in restricting his opponent. This problem is investigated under three kinds of information structures, i.e., a zerosum, a nonzero-sum, and a Stackelberg game. Open-loop equilibrium solutions are obtained for all the three cases. Economic implications of the result are provided. The research is supported by the National Natural Science Foundation of China under Grant Nos. 70771118 and 70371030 and the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry under Grant No. 2006.331.     

A novel method for planning a staged evacuation

This paper presents an innovative method to facilitate making such a plan.Using an algorithm to schedule the starting time of each evacuation group,the method guarantees that the time of completing a large-scale evacuation is very close to its theoretically shortest evacuation time. Meanwhile,unlike a simultaneous evacuation,during a staged evacuation planned with the proposed method,all evacuees can take the shortest path to a safe exit.Once evacuees start off,they will not suffer any traffic congestion.The above advantages of this innovative method are achieved by using an algorithm with three nested loops.Experiments have been conducted,and their results have validated the proposed method.     

一类柔性制造系统的死锁预防策略

针对一类柔性制造系统的ES3PR网模型提出了一种死锁预防策略.基于Petri网和信标的理论,我们将可被清空的信标分为基本信标和从属信标.引入多步迭代的思想,给每个基本信标添加两类控制库所普通控制库所和加权控制库所,在满足一定条件时控制所有的从属信标.从而得到结构更简单、活性更强的Petri网系统.     

音频水印非线性检测器的研究

研究了一种用于音频水印的非线性检测器。首先将音频信号进行离散余弦变换,并将变换系数按照绝对值进行排序,依据音频信息本身的特点选取中频系数嵌入水印信息,采用高斯混合概率密度模型来拟合加入水印的中频系数。其次,依据这种非高斯模型的特点,设计了一种非线性检测器来检测水印。实验表明这种非线性水印检测器具有很好的鲁棒性,对于加高斯噪声、重采样、重量化、MPEG压缩、Chebyshev低通滤波等多种攻击都具有较好的抗攻击能力。     

求解一类极大熵问题的一种新算法

本文对求解一类附加线性等式约束的极大熵问题给出了一种新的算法。与文献「１」的算法相比,本文的方法在原理上简单、清晰,在计算上更为简捷,便于应用。     

分布式系统故障注入研究

介绍了一个故障注入系统的结构、分布式系统中的故障模型、仿真实例中的故障注入过程及注入了故障的仿真实例运行过程。故障注入系统提供了分布式综合仿真平台进行系统故障情况下任务重新分配、任务冗余及系统重构等方面的研究基础     

A sketch for humane operational research in a technological society

This article is based on my presidential address to the Swedish Operational Research Society 1996 Conference. It starts with a statement affirming the critical need to incorporate virtues and norms in the management and operation of our institutions. With the help of multimodal systems thinking and Stafford Beer's Viable Systems Model, it builds a framework that allows the transfer of such things as faith, love, and wisdom into the operation of our social systems and their management. The article concludes with the placing of operational research and management theory within this framework and with a challenge to all operational researchers to work for new modeling techniques that will contribute to a more virtuous and humane society.     

一种跟踪机动目标的变结构交互多模型滤波算法

将当前统计模型和变结构多模型估计算法相结合,阐述了变结构多模型算法的基本思想,研究和设计了一种用于跟踪机动目标的变结构交互多模型算法。计算机仿真显示该算法能有效提高交互多模型估计器的费效比。     

标的股票价格服从跳跃-扩散过程的期权套期保值率确定

用期权进行套期保值是常用的风险转移方法。假设标的股票服从更新跳跃-扩散过程,研究在保值者给定可接受的保值失败概率情况下,如何确定合理的套期保值比率。给出了计算最优套期保值率所需参数的估计方法,并用算例予以验证。     

供应链物流服务集成商选择的群体决策方法

物流服务的集成已经成为供应链之间进行竞争的主要优势来源之一,因此从供应链的角度,研究集成物流服务的采购问题至关重要.为此,针对供应链的物流服务集成商的评估选择问题,描述了集成物流服务的采购流程,提出了E-层次德尔菲法,建立了物流服务集成商的评估指标体系,构建了基于E-层次德尔菲法和多目标规划模型的群体决策方法,最后通过实例说明了利用该方法进行评估选择的具体过程.     

一种新的计算周期表面电磁散射算法

利用数值方法研究周期表面的电磁散射问题。应用矩量法研究周期表面的电磁散射可以获得较为精确的数值结果。对于表面散射 ,应用矩量法时表面未知变量的数目非常大 ,即使对于一维表面也需要几千个未知变量 ;当求解矩阵方程时 ,计算机对求解的问题有内存和速度的限制。为了克服内存的限制 ,采用了一种新的迭代数值算法。对周期表面的电磁散射问题进行了研究 ,并与矩阵反演方法作了比较。所得结果表明 ,这种新的迭代法具有很好的收敛性。最后对散射结果进行了讨论     

基于免疫的多峰极值遗传搜索算法

寻找多极值点是一个具有广泛应用价值的问题。在传统遗传算法基础上,引入免疫算子用来搜索多峰函数的极值点,其中免疫算子依次通过疫苗提取、接种疫苗和免疫选择三个步骤来完成。实验测试结果表明,该算法对一元函数和多元函数都有很好的效果。     

A two-stage estimation algorithm for a type of current status data

Success-failure life tests are widely used in reliability engineering research to evaluate the storage life of products,where the observed data are the current status data,usually summarized as the form of "binomial life data".For this type of data,this paper proposes a two-stage algorithm to estimate some commonly used lifetime distributions.This algorithm is automatic,intuitively appealing and simple to implement.Simulation studies show that compared with some existing methods,the proposed algorithm is more stable and efficient,especially in small sample situations,and it can also be extended to deal with some complicated lifetime distributions.     

一类混沌广告模型的直线控制

将参数扰动直线控制法引入到双寡头有限理性广告博弈模型中，建立了双寡头广告直线控制模型。研究两种不同情况下企业对系统进行控制，一是在NASH均衡点附近时引入直线控制，另一种是在较远的点时引入直线控制。通过理论分析和数值模拟发现，初期控制成本和控制效果依赖于企业控制点的选择和增益矩阵k的取值，在同一个控制点，控制效果与k值密切相关。同时指出对于处于混沌状态的企业，应选择在两企业的广告投入量位于NASH均衡点附近或两侧时，进行控制，将能够取得比较好的控制效果。