组合市场中消费者联盟形成及多方博弈的研究

关注电子商务的进一步发展,研究组合贸易中的消费者联盟形成及多方博弈问题.在给出一种多Agent中介系统控制的组合市场模型的基础上,使用群集分析方法对组合市场中大量消费者联盟形成过程的宏观动态特性进行仿真,通过数值仿真实验为组合市场中不同角色在贸易中所起的作用进行定量的分析,并为不同角色间的市场博弈提供定量分析的方法.     

Ritt-Wu Characteristic Set Method for Laurent Partial Differential Polynomial Systems

Journal of Systems Science and Complexity - In this paper, a Ritt-Wu characteristic set method for Laurent partial differential polynomial systems is presented. The concept of Laurent regular...     

空间站力矩平衡姿态稳定性研究

力矩平衡姿态的稳定性是空间站姿态TEA定向控制研究的重要问题.采用Lyapunov理论中求解导算子特征值的方法判断TEA的稳定性,基于线性化的姿态动力学方程采用基于稳定度设计的LQR方法设计空间站的姿态控制器,通过仿真验证了:(1)TEA作为平衡姿态的优点;(2)用导算子的特征值判断TEA姿态稳定性的方法的有效性.     

GM(1,N)模型的离散化结构解

针对灰色系统GM(1,N)模型是以差分方程为基础进行参数估计的,而其时间响应函数却是由微分方程的解得到的。从差分方程到微分方程的跨越,缺乏充分的科学基础和理论依据。通过对灰色系统模型建模机理进行深入剖析,利用采样定理和状态转移矩阵在差分方程和微分方程之间架起一座桥梁,通过算例仿真实验证明了该算法的有效性。     

油气弹簧阻力特性计算机仿真

给出了油气弹簧缝隙节流原理图,通过节流阀片力学模型建立了节流阀片弯曲变形微分方程,对节流阀片弯曲变形进行了研究,创建了弯曲变形系数和弯曲变形解析计算式。对油气弹簧节流阀片的弯曲变形量、节流缝隙、节流缝隙增量进行了研究,建立了缝隙增量与速度间的关系方程。通过建立特性仿真分段数学模型,对油气弹簧阻力特性进行了计算机仿真,最后对所设计的油气弹簧进行了阻力特性试验。通过试验可知,所研究的油气弹簧阻力特性计算机仿真模型和方法是正确的,对油气弹簧的优化设计、特性分析都具有重要的参考价值。     

部分协整型协整变结构检验

提出了变结构协整的定义及分类．将变结构协整分为3种类型：参数变化型协整，部分变化型协整和机理变化型协整．对于第2种类型变结构协整问题提出了基于Chow检验统计量的3种变结构协整检验和建模方法．给出长期方差为常数和长期方差存在漂移的情况，在最大Chow检验，平均Chow检验和指数Chow检验下统计量的渐近性质和极限分布．     

A triangular decomposition algorithm for differential polynomial systems with elementary computation complexity

In this paper, a new triangular decomposition algorithm is proposed for ordinary differential polynomial systems, which has triple exponential computational complexity. The key idea is to eliminate one algebraic variable from a set of polynomials in one step using the theory of multivariate resultant. This seems to be the first differential triangular decomposition algorithm with elementary computation complexity.     

The generating set of the differential invariant algebra and Maurer-Cartan equations of a (2+1)-dimensional burgers equation

The authors construct Maurer-Cartan equation, the generating set of the differential invariant algebra and their syzygies for the symmetry groups of a (2+1)-dimensional Burgers equation, based on the theory of equivariant moving frames of infinite-dimensional Lie pseudo-groups.     

局部相似目标匹配的微分几何模型

根据微分几何原理,基于平面曲线作刚体变换时其曲率的不变性,利用曲率来表达目标轮廓的内在特征。筛选出待匹配目标轮廓上内在特征相似的点,形成点对集合。在点对集合中寻找相似线段来定位可能的平面变换,通过得分函数,求出点对集合中相似线段平面变换的最佳值,得出最佳匹配。仿真实验表明,该模型适合局部相似情况下的目标匹配,特别对于复杂形状目标,运算复杂度较低,具有较好的识别效果。     

IMPLICITIZATION OF PARTIAL DIFFERENTIAL RATIONAL PARAMETRIC EQUATIONS

In this paper, we propose algorithms for the following problems in the implicitization of a set of partial differential rational parametric equations P. （1）To find a characteristic set for the implicit prime ideal of P; （2） To find a canonical representation for the image of P; （3）To decide whether the parameters of P are independent, and if not, to re-parameterize P so that the new parametric equations have independent parameters; （4） To compute the inversion maps of P, and as a consequence, to decide whether P is proper.     

Further Investigation of Characteristic Relation in Incomplete Information System

In the recent years, the method to expand Pawlak's rough set model in different kinds of information systems has become a hot topic. This article presents explorative research focusing on the transition from the traditional information system to a complex system—the incomplete information system. In such information system, “do not care” and lost unknown attribute values coexist. With a further investigation of Grzymala-Busse's characteristic relation in the incomplete information system, two unreasonable situations in the analysis of the classified problem are presented. To conduct sound classification in the incomplete information system, a new characteristic relation is proposed and by use of this new characteristic relation, the complete covering on the universe is formed. Based on the maximal complete compatible classes in the complete covering, two notions of the knowledge representation system are presented and some important properties associated with these knowledge representation systems are discussed. For further illustration, an example is analyzed. The research is meaningful both in theory and in applications for the extension of the rough set theory in incomplete information systems.     

高价值弹药可靠性综合评定方法研究

为解决高价值弹药可靠性鉴定中试验样本量大、成本高的问题, 提出了基于小子样变动统计思想的可靠性综合评定方法。考虑到弹药可靠性在研制阶段上呈现动态特性、环境上呈现差异特性和相似装备上呈现关联特性, 基于小子样变动统计思想建立了弹药可靠性综合评定模型; 针对多源历史样本的“异母体”问题, 以信息熵和条件熵理论对无历史样本下和有历史样本下可靠度的不确定性进行量化, 以不确定度减少比率作为该历史样本相较于现场样本的继承因子; 基于贝塔分布函数和继承因子构建了关于可靠度的混合先验分布, 由贝叶斯理论推导得到可靠度的验后分布, 从而实现对高价值弹药的高效可靠性评定。以某型弹药为应用对象, 验证了本文方法的有效性和合理性。     

基于提升小波技术的阈值量化图像压缩方案

结合多级树集合分裂算法（SPIHT）能产生完全的嵌入式码流的特性,设计了一种新的阈值量化方莹的彩色图像压缩算法。通过建立彩色空间的可逆分量变换,减小三含彩色分量之闽的相关性,并对变换后的三分量进行提升的整教小波变换。将定义的自然数的平方作为门限值,完成对三分量小波系数矩庠的量化和联合编码。实验结果表明,本方案与传统量化方案下的SPIHT算法相比,大多数重要系数的编码长度至少减少1个比特数,当比特率非常低对,压缩效果更明显。     

基于知识发现的火箭武器研制费用预测

小样本的火箭武器研制费用预测通常难于应用线性回归方法,而灰色理论方法在实际中仍不能较好地解决费用与武器特征参数间存在的非线性问题。提出了融合粗集理论和神经网络预测火箭武器研制费用的新方法,利用粗集知识约简后的特征要素作为神经网络的输入,实现火箭武器研制费用的预测,并用实例证明了基于粗集-神经网络的费用预测精度高于灰色模型预测精度。     

基于边界域的知识粗糙熵与粗集粗糙熵

传统的知识粗糙熵表征了知识整体的统计特征,是总体的平均不确定性的量度,知识和粗集的不确定性值被放大。从Pawlak拓扑的角度,给出了一种基于边界域的知识粗糙熵新定义,并修正了粗集粗糙熵的定义,集合的不确定性可以通过边界域来描述,能更精确的度量知识不确定性;证明了知识粗糙熵和修正后的粗集粗糙熵都随着信息粒度的变小而单调减少等重要结论。最后,通过弹簧振子系统定性仿真例子,结合定性推理技术,构造属性约简的启发式算法,消去定性描述中的冗余,获得了其系统的定性微分方程,说明了粗集理论在定性推理与定性仿真技术中的重要应用价值。     

计算约简的差别矩阵简化算法不成立

Skowron差别矩阵给出了粗集约简的一般方法,但该算法要求生成、存储差别矩阵的中间环节,造成时间和空间上的浪费.实际应用中给出一种简化算法:一边从信息表中提取差别元素构成合取范式,一边用分配律、吸收律作逻辑公式的等价变换,直接得到最小析取范式.本章给出反例,说明该简化算法不总成立.     

非光滑两级优化问题的必要条件及其算法

利用集值分析、非光滑分析与优化理论,研究了两级优化问题的性质、结构,提出了处理这类问题的一个通用性结构化模型,并利用该模型导出了非凸非光滑条件下两级优化问题的微分包含型必要条件,最后给出了其求解的算法及算例．     

A criterion for testing whether a difference ideal is prime

This paper presents a criterion for testing the irreducibility of a polynomial over an algebraic extension field. Using this criterion and the characteristic set method, the authors give a criterion for testing whether certain difference ascending chains are strong irreducible, and as a consequence, whether the saturation ideals of these ascending chains are prime ideals.     

Research on Satisfactory PID Control for Stochastic Systems with Opportunity-Awaiting Control Characteristic Indices Constraints

The problem of satisfactory PID control for a class of stochastic systems with constraints on desired opportunity-awaiting control characteristic indices and decay ratio index is considered. First, on the basis of the boundary cross theorem, an approach of determining all stabilizing PID controllers and the set of PID controller satisfying the desired decay ratio index is proposed. Second, according to the opportunity-awaiting control theory, the expressions of characterization of the set of PID controller satisfying the desired opportunity-awaiting characteristic indices, such as average residence time and average waiting time, are derived. Then, using the idea of satisfactory control, the consistency of the above three indices is analyzed. Moreover, an efficient algorithm of determining the range of consistent indices is also presented. Finally, a method of calculating the set of PID controller when the indices are consistent is given. A numerical example shows the validity and feasibility of the proposed method.     

供应链系统和谐性分析

运用和谐管理理论,提出一套供应链系统和谐性分析要素结构体系,并给出各要素的具体释义;在此基础上,通过对供应链系统和谐性的分析和诊断,找出供应链系统运行过程中不和谐的关键所在,明确供应链系统不和谐的特征类型,以便有针对性地采取相应的措施,及时改善系统的运行状况.实证研究的结果,验证了本文所提出的供应链系统和谐性分析要素总体构成的合理性以及和谐管理理论应用于供应链系统和谐性分析的有效性.