Analytic solution for the nucleolus of a three‐player cooperative game

The nucleolus solution for cooperative games in characteristic function form is usually computed numerically by solving a sequence of linear programing (LP) problems, or by solving a single, but very large‐scale, LP problem. This article proposes an algebraic method to compute the nucleolus solution analytically (i.e., in closed‐form) for a three‐player cooperative game in characteristic function form. We first consider cooperative games with empty core and derive a formula to compute the nucleolus solution. Next, we examine cooperative games with nonempty core and calculate the nucleolus solution analytically for five possible cases arising from the relationship among the value functions of different coalitions. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

速率偏频激光陀螺寻北仪中转台测角周期性误差的影响分析

连续旋转式寻北仪以其突出的性能成为当前寻北仪研究的热点,但关于转台误差对连续旋转寻北算法精度影响的分析很少.针对速率偏频激光陀螺寻北仪,研究了转台测角周期性误差对寻北结果的影响.理论分析表明,测角周期性误差的存在会导致寻北结果偏离真实值,必须对其进行建模和补偿以提高寻北精度.对理论分析结果进行了仿真实验和样机寻北实验验...     

机抖激光陀螺减振系统的模态分析

通过对惯性测量单元(Inertial Measurement Unit,IMU)进行减振,可以减小外部冲击、振动对IMU正常工作和测量精度的影响,提高系统导航精度。基于patran/marc有限元分析软件对激光陀螺IMU的减振系统进行模态分析,得到减振系统主要的模态及频率。主要通过仿真分析了减振橡胶块的温度、轴向压缩量和径向压缩量三项关键因素对减振系统模态的影响,提出了一种IMU减振系统的优化设计方案。结论表明:可通过改变结构参数方式来调整减振系统参数,从而满足机抖激光陀螺惯导的应用要求。     

空间天气对国家安全的影响研究

随着科技的发展和进步,世界各国越来越认识到空间天气的重要性,并对空间天气效应展开深入的理论和实践探索。我国也加快空间天气领域的研究进程,并取得了一定成就。本文系统介绍了空间天气的定义与发展历程,运用总体国家安全观的方法,从国土安全、军事安全、经济安全与核安全等角度分析了灾害性空间天气对国家安全的影响。在对国内外空间天气研究现状和发展趋势分析的基础上,针对灾害性空间天气的国家安全影响提出了政策性建议。     

Interchange fee rate,merchant discount rate,and retail price in a credit card network: A game‐theoretic analysis

We consider two game‐theoretic settings to determine the optimal values of an issuer's interchange fee rate, an acquirer's merchant discount rate, and a merchant's retail price in a credit card network. In the first setting, we investigate a two‐stage game problem in which the issuer and the acquirer first negotiate the interchange fee rate, and the acquirer and the retailer then determine their merchant discount rate and retail price, respectively. In the second setting, motivated by the recent US bill “H.R. 2695,” we develop a three‐player cooperative game in which the issuer, the acquirer, and the merchant form a grand coalition and bargain over the interchange fee rate and the merchant discount rate. Following the cooperative game, the retailer makes its retail pricing decision. We derive both the Shapley value‐ and the nucleolus‐characterized, and globally‐optimal unique rates for the grand coalition. Comparing the two game settings, we find that the participation of the merchant in the negotiation process can result in the reduction of both rates. Moreover, the stability of the grand coalition in the cooperative game setting may require that the merchant should delegate the credit card business only to the issuer and the acquirer with sufficiently low operation costs. We also show that the grand coalition is more likely to be stable and the U.S. bill “H.R. 2695” is thus more effective, if the degree of division of labor in the credit card network is higher as the merchant, acquirer, and issuer are more specialized in the retailing, acquiring, and issuing operations, respectively. © 2012 Wiley Periodicals, Inc. Naval Research Logistics, 2012     

30 cm离子推力器栅极组件寿命预估及试验验证

为了预估30 cm离子推力器现有三栅极组件的整体寿命,采用有限元分析和PIC-MCC方法分别对栅极组件的热态平衡间距以及栅极不同区域的刻蚀速率进行了模拟和计算。结果显示,推力器达到热平衡状态时,减速栅整体变形呈现中心局部凹陷特征,加速栅整体变形呈均匀突起;在直径0～70 mm内的中心区域,两栅间距平均缩小0.057 mm;在直径70～140 mm内的环形区域,两栅间距平均增大0.129 mm;减速栅边缘区域小孔在1 500 h内的刻蚀速率达到6.25×10^-14 kg/s,而5 700 h的栅孔刻蚀速率相比1 500 h的降幅达到了15.4%;5 700 h的加速栅中心和边缘以及减速栅中心区域小孔的刻蚀速率相比1 500 h的降幅分别达到了8.0%、4.1%和3.6%。5 700 h的寿命试验结果显示,减速栅中心孔、加速栅中心和边缘孔的刻蚀基本呈线性,仿真与试验结果的比对误差均在10%以内。     

机抖激光陀螺抖动控制回路的解耦设计

抖动控制是影响机械抖动激光陀螺性能的重要因素,基于激光陀螺的抖动动力学响应特性,研究了一种抖动控制回路解耦方法,指出相位反馈能实现机抖激光陀螺抖动谐振频率的稳定跟踪。稳定跟踪抖动谐振频率时,如果在抖动位置零点改变驱动信号幅度,则抖幅响应可以简化为一阶惯性系统响应,抖幅控制支路可以从抖动控制回路中解耦为一阶控制回路,实现抖动控制回路的解耦,提高了激光陀螺抖动系统的控制性能。     

激光陀螺数字抖动控制方法与特性

针对传统的模拟抖动控制系统体积大、灵活性差的缺点,设计了一种基于单片机的新的激光陀螺数字抖动控制方法,建立了陀螺抖动的数学模型,比较研究了传统的模拟正弦波驱动和新的数字方波驱动的抖动特性,指出了后者不同于前者的抖幅变化律及非线性的随机噪声注入方式。仿真和实验证明,该方法能很好满足激光陀螺抖动控制要求,保证陀螺性能。     

压阻法测试电路中端接电阻的计算

采用普遍的方法导出了压阻法测试电路中端接电阻的计算公式,并从实验上进行了验证。