一类完善秘密共享方案的最优信息率

研究参与者人数为7的一类存取结构的完善秘密共享方案及其最优信息率。利用存取结构与连通图之间的关系,给出其对应的 111种图存取结构。对其中的91种图存取结构计算它们最优信息率的精确值,并讨论达到此信息率的秘密共享方案的具体构造方法。对余下20种图存取结构给出最优信息率的上下界,并从理论上证明,满足一定条件且顶点数为7信息率的上界为3/5。     

云计算中基于预先分类的调度优化算法

针对云计算中现有调度算法为追求最短完成时间而不能很好兼顾负载平衡的问题,提出基于预先分类的Min-Min调度算法,该算法先利用能衡量资源计算和通信能力的属性信息对资源进行划分等级,再求出每个调度任务在资源中的最小执行时间,计算任务对应资源等级与最小执行时间的乘积,使用该乘积最小的任务-资源对进行调度.解决了原始Min-Min调度算法负载不均衡的问题,兼顾了执行时间最小和负载均衡.模拟的云仿真系统实验结果表明,该算法在平均任务响应时间、平均任务执行速度下降比和系统利用率等方面优于原始的Min-Min调度算法.     

完全图的点可区别强全染色算法

根据图的点可区别全染色的定义,结合完全图的对称性,提出一种新的点可区别强全染色算法。该算法将需要填充的颜色分为超色数和正常色数2个部分,在得到染色数量和染色次数的前提下,对超色数进行染色以增强算法收敛性。实验结果表明,该算法具有较低的时间复杂度。     

粗糙集属性约简的图论方法

粗糙集模型的推广是粗糙集理论研究的重要方向之一。在分子格的框架下,定义了一个从分子到一般元素的映射,基于该映射,分别构造了两种上近似算子和两种下近似算子,并讨论了这些算子的基本性质。     

Basic properties of free stratified flows

Results of analytical studies of the governing equations of stratified rotating fluids based on the unification of theories of continuous and discrete groups, perturbations and modern numerical visualizations are described. Symmetries of basic systems and their simplified versions, different approximations and constitutive turbulent models are compared. A new method to calculate discrete groups analytically, which does not need a preliminary search for continuous groups, is developed. As an example of the practical use of the developed algorithm, a complete classification of cellular and roll structures of Bénard convection is presented. A complete classification of 3D periodic motions in compressible viscous stratified and rotating fluids, including regular (wave) and singular elements, is performed by perturbation methods. In all cases, in a viscous fluid, besides waves there are two different periodic boundary layers. In a homogeneous fluid the split boundary layers are merged, thus forming a joint doubly-degenerate structure. Stratification and rotation reduce the degeneration of the 3D periodic boundary layers. Calculations of a 3D periodic wave beam emitted by an oscillating part of a sloping plane are visualized by a computer-graphics method. The existence of thin extended components on the edges of the 3D wave cone is demonstrated.     

企业间产品创新多维博弈模型及其分析

在相关文献对典型的Cournot寡头竞争模型论述的基础上,进一步讨论在完全信息条件下两个企业关于具有一定替代性两种产品产量的静态多维Cournot模型及其多维纳什均衡,并得到两个企业分别对每种产品单独博弈时的纳什均衡策略劣于联合考虑这两种产品时进行多维博弈的纳什均衡策略的结果。     

L-拓扑空间的局部超F2紧性

本文给出了局部超F2紧的L-拓扑空间的定义（其中L是有逆合对应的完备格），得出了局部超F2紧性是闭遗传的、开遗传的、在开的连续的L值Zadeh型函数下是保持的。并且是L不分明完备映射的逆不变量．从而把分明拓扑空间的一些好的结果推广到L-拓扑空间．     

Obtaining complete 2 D view representation of polyhedra using concept of seedling single-view area

This article deals with construction of complete 2 D exact view models of polyhedral objects for visual identification systems. In particular, a new method and an algorithm views generation using the view sphere with perspective concept are described. A set of views generated by this method forms a complete view representation of the object. The method of ensuring completeness of the view representation by controlling covering of the view space (by single-view areas) is used in the presented algorithm. The perspective projection used for calculating the views, the total, tight covering of the view sphere by the single-view areas and -dimensionality of the views ensure, in our opinion, unambiguous and proper identification of polyhedral objects. The method consists in calculating single (any) view, determining the corresponding single-view area (so-called seedling single-view area) and then spiral propagation of neighbouring single-view areas until the whole view sphere is covered by them (i.e., until the border register containing the border between the covered and uncovered parts of the view sphere becomes empty). Having a complete set of single-view areas, we get a complete set of views as well. A method of determining single-view areas for convex polyhedra is also presented.     

基于多相正交序列的完全互补码的综述

近年来，CDMA通信系统中地址码容量过小的问题愈发突出，而多相序列的提出为这个问题的解决开辟了一条新途径，这是因为由多相正交序列组成的完全互补码可以很好地满足最佳地址码的要求．本文在多相序列的基础上概述了完全互补码的发展与现状，给出了构造方法，并分析了目前在研究中存在的不足，最后指出了近几年的研究成果和未来研究的主要发展方向。     

利用复式原胞实现二维光子晶体中的完全带隙

为了实现二维光子晶体的完全带隙，采用不同结构的复式原胞，构成了一种复式光子晶体．用多重散射的方法，分别计算了不同占空比和内部参数，以及当光沿不同方向入射时s偏振波和p偏振波的透过谱．从理论上论证了在这种复式原胞的光子晶体中，只要选择合适的内部参数和占空比，就可以在二维复式光子晶体中达到三维光子晶体效果，即获得到完全带隙．