上、下半连续性关系及其在经济上的应用

上、下半连续性在数学中的重要性不言而喻,在微观经济分析中也有着广泛应用,特别是静态优化问题。分别在单值映射、集值映射中探讨了上半连续性和下半连续性的关系。先证明了单值映射上、下半连续性等价的结论(定理1),并利用引理1对常见函数的上、下半连续性进行了探讨以进一步说明定理1;然后通过举反例进行论证,得出了集值映射中上、下半连续性不等价的结论(定理2);最后例举了上、下半连续性在数理经济上的应用,具有创新价值。通过对数理经济学中参数约束最优化问题的最大值定理(引理2)条件和结论所做的两点注记,并附以具体实例予以解释,说明了单、集值映射中上、下半连续性的关系,以及在数理经济上的重要应用。     

混合均衡问题和不动点问题的公共元的迭代算法

在Hilbert空间中,利用超梯度算法,用以逼近混合均衡问题的解集与半压缩映像不动点集的公共元,并且证明了该算法的收敛性。使用新的分析技巧证明了一个强收敛定理。     

THE MORAL PERMISSIBILITY OF AUTOMATED RESPONSES DURING CYBERWARFARE

Automated responses are an inevitable aspect of cyberwarfare, but there has not been a systematic treatment of the conditions in which they are morally permissible. We argue that there are three substantial barriers to the moral permissibility of an automated response: the attribution, chain reaction, and projection bias problems. Moreover, these three challenges together provide a set of operational tests that can be used to assess the moral permissibility of a particular automated response in a specific situation. Defensive automated responses will almost always pass all three challenges, while offensive automated responses typically face a substantial positive burden in order to overcome the chain reaction and projection bias challenges. Perhaps the most interesting cases arise in the middle ground between cyber-offense and cyber-defense, such as automated cyber-exploitation responses. In those situations, much depends on the finer details of the response, the context, and the adversary. Importantly, however, the operationalizations of the three challenges provide a clear guide for decision-makers to assess the moral permissibility of automated responses that could potentially be implemented.     

Asymptotic analysis of periodic policies for the inventory routing problem

In this article, a distribution system is studied where the sum of transportation and inventory costs is to be minimized. The inventory holding cost is assumed to be the same for all retailers. A fixed partition (FP) periodic policy is proposed with tight asymptotic worst‐case performance of 3/2 with respect to the best possible policy. This bound cannot be improved in the class of FP periodic policies. In partition‐based PB policies, the retailers are first partitioned into sets and then the sets are grouped in such a way that sets of retailers within a group are served together at selected times. A PB periodic, policy is presented with tight worst‐case asymptotic performance of with respect to the best possible policy. This latter performance improves the worst‐case asymptotic performance of of the previously best known policy for this problem. We also show that the proposed PB periodic policy has the best worst‐case asymptotic performance within the class of PB policies. Finally, practical heuristics inspired by the analyzed policies are designed and tested. The asymptotic worst–case performances of the heuristics are shown to be the same of those of the analyzed policies. Computational results show that the heuristics suggested are less than 6.4% on average from a lower bound on the optimal cost when 50 or more retailers are involved. © 2013 Wiley Periodicals, Inc. Naval Research Logistics 00: 000–000, 2013     

DEFENSIVE COUNTERTERRORISM MEASURES AND DOMESTIC POLITICS

Unlike most of the literature, this paper includes domestic political considerations in which two countries must decide defensive countermeasures against a common terrorist threat. A delegation problem arises as voters strategically choose a policymaker whose preferences differ from their own. As a consequence, countries limit the presumed oversupply of defensive countermeasures. Thus, the inclusion of domestic politics gives a new perspective on counterterrorism. The timing of elections is also shown to make a difference.     

大学英语课堂教学存在的主要问题及应对策略

课堂是学员语言学习实践的重要场所,无论科技怎样发展,教学如何改革,英语课堂教学仍有不可替代的作用。通过调查研究和教学实践发现,武警初级院校的大学英语课堂活力不足,学员学习热情不高。针对这一现象进行原因分析和探究,找到了激活英语课堂气氛的应对策略,便于指导教学实践。     

最大避障圆问题的提出与初探

提出了一个在有界区域内求对已知各障碍物的最大避障圆问题。首先给出此问题的数学描述,然后分析了当有界区域为圆域,并将各障碍物看成一个有限点集时,避障圆的基本性质,从而得到一种求最大避障圆的有效算法。     

网络化作战C2组织结构的一种分析设计方法

网络化作战条件下,传统的层次型C2组织限制了组织成员之间的信息交互,难以适应复杂多变的作战环境,影响了系统整体作战效能的发挥。通过分解单个组织节点智能体(Agent)的行为过程,结合网络化作战的概念,在引入信息流、指控流因素情况下,研究在网络化作战中C2组织结构网络,并在分析组织网络探测信息/指控命令的传输和处理的基础上,提出了一种C2组织结构设计方法。该方法充分考虑了网络化作战探测信息共享以及指控命令协同,并将网络化作战C2组织的最优设计问题转化为C2组织网络中探测信息和指控命令的最小费用最大流问题。     

货郎担问题新算法

将指派问题的匈牙利解法用于货郎担问题,通过恰当地添加大正数构造效率矩阵,得到了计算货郎担问题较快的算法。文中给出的2个例子具体地说明了算法实施过程,该算法具有一定的实用性。     

基于差分法的二阶微分方程的模糊边值问题

本文讨论二阶微分方程的两点边值具有模糊不确定性时 ,运用模糊仿真原理和差分方法 ,求其边值问题的数值解法。