《线性代数》教学与观念更新

《线性代数》是理、工、农、经类各专业的一门重要的基础课,对后续课程起到工具性、奠基性的作用。《线性代数》中许多概念抽象、层次甚高,学生普遍感到难学,教师在教学中要注意指导和帮助学生更新观念,使其加深对抽象概念的理解,以便较好地掌握基础的代数思想和代数方法。     

水库区的风景开发建设与生态环境保护研究

随着社会经济的发展,水库这一人工湖泊不仅只发挥传统的灌溉、供水、防洪、发电和养殖等作用,作为风景旅游和度假地开发建设越来越受到重视,文章从对库区风景开发建设必要性、条件和原则进行分析,提出库区开发建设必须兼顾生态环境,确保水库的可持续发展。     

Value management of diagnostic equipment with cancelation,no‐show,and emergency patients

Magnetic resonance imaging and other multifunctional diagnostic facilities, which are considered as scarce resources of hospitals, typically provide services to patients with different medical needs. This article examines the admission policies during the appointment management of such facilities. We consider two categories of patients: regular patients who are scheduled in advance through an appointment system and emergency patients with randomly generated demands during the workday that must be served as soon as possible. According to the actual medical needs of patients, regular patients are segmented into multiple classes with different cancelation rates, no‐show probabilities, unit value contributions, and average service times. Management makes admission decisions on whether or not to accept a service request from a regular patient during the booking horizon to improve the overall value that could be generated during the workday. The decisions should be made by considering the cancelation and no‐show behavior of booked patients as well as the emergency patients that would have to be served because any overtime service would lead to higher costs. We studied the optimal admission decision using a continuous‐time discrete‐state dynamic programming model. Identifying an optimal policy for this discrete model is analytically intractable and numerically inefficient because the state is multidimensional and infinite. We propose to study a deterministic counterpart of the problem (i.e., the fluid control problem) and to develop a time‐based fluid policy that is shown to be asymptotically optimal for large‐scale problems. Furthermore, we propose to adopt a mixed fluid policy that is developed based on the information obtained from the fluid control problem. Numerical experiments demonstrate that this improved policy works effectively for small‐scale problems. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 287–304, 2016     

大整数乘除运算在PC机上的实现

大整数在要求高精度的应用中非常有用.特别是大质数和一般大整数有一个极为重要的应用,就是关于计算机数据加密.在计算机数据加密技术中,常会遇到大整数的算术运算问题.由于所使用的机器和所用语言的限制,大整数的"乘""模"两种运算很难运用高级语言中的"乘""除"运算.提出了一种逐位存储、按字节运算的方法,并用C 实现了大整数的十进制乘除法运算,之后将提出的算法与类似算法的时间复杂度进行了比较,最后给出了算法的运行时间.     

分层土中桩筏基础荷载分担

结合一个桩筏联合基础的设计过程,探讨了在复杂地基土上基础设计中的受力分析及变形协调计算过程.介绍了在满足复合地基承载力和变形要求前提下合理布置桩筏联合基础的做法及其设计思路.布置桩筏联合基础时使桩筏分别落在不同土层上,以充分利用不同深度地基土的承载力;另外针对桩下为非淤泥系硬土层,应最大限度利用桩身强度和天然地基承载力.该做法可以取得很好的经济效益,可供工程设计人员参考.     

基于ForCES体系结构的IPv6路由器的研究与实现

分析了开放网络体系结构研究现状,并在ForCES体系框架下提出一个OpenRouter路由器结构模型,该模型由四个逻辑层次组成,三个标准的API对路由器进行功能模块化分离,使标准模块化路由器实现成为可能。在此基础上,重点介绍了遵从OpenRouter结构模型的IPv6路由器系统的实现及关键技术。     

C4ISR网络安全态势的可拓云理论综合评估方法

为了对C4ISR网络的安全态势进行精确评估,提出了一种基于云理论和可拓学的评估方法。分析了影响C4ISR网络安全态势的评价指标体系,通过主客观综合赋权法确定各评价指标的权系数。在此基础上,利用云理论和可拓学中的基元理论,构建C4ISR网络安全态势的综合评估方法。通过对实例的分析,表明了该方法的可操作性和优越性。     

基于犹豫度特征改进的新的直觉模糊相似度

直觉模糊集之间关系的密切程度可用相似度来度量。近年来提出了多种定义两个直觉模糊集相似度的方法,但这些方法对犹豫度的考虑不够,因而计算出的相似度大多存在反例。依据直觉模糊集信息的波动性和不确定性特征,补充拓展定义了直觉模糊相似度,并基于此给出了直觉模糊相似度的计算公式。最后在人工框架测试集中进行了验证,结果不存在反例。