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     

思想政治教育对高校突发事件的防范功能研究

为维持高校和社会的和谐稳定，必须防范高校突发事件的发生。思想政治教育对高校突发事件有着特殊而重大的防范功能，它不但能为防范突发事件提供可靠的思想保证和精神动力，而且其本身就是防范突发事件的重要手段。思想政治教育在思想引导、心理干预、利益协调、情绪宣泄、预防文化教育和预警等方面都具有对高校突发事件的防范功能。     

关于半鞅向量随机积分的两个结果

首先利用半鞅Girsanov定理与闭图像定理证明了:若{Xn}是带滤基的完备概率空间(Ω,F,F,P)中的一列半鞅,其中滤基F=(Ft)t≥0满足通常条件,且{Xn}在关于P的Emery拓扑空间中收敛于X,则当概率测度Q相似文献   

对目标打击概率的数学模型及分析

通过分析识别跟踪攻击目标的过程,建立了攻击目标打击概率的数学模型和基本算法,通过计算机采用蒙特卡罗法模拟计算了不同条件下对目标的打击概率,以此研究影响打击概率的因素.计算结果表明,武器系统的作战半径和威力半径两个因素对打击概率影响较大,误差因素在一定范围内影响较小,各参数之间存在优化匹配的空间.     

超低照度下微光图像增强神经网络损失函数设计分析

超低照度下(环境照度小于2×10~(-3)lux)微光图像具有低信噪比、低对比度等特点,使目标难以辨识,严重影响观察效果。为了提高超低照度下微光图像质量,设计了一种用于微光图像增强的卷积自编码深度神经网络,并针对传统的均方误差损失函数不符合人类视觉感知特性等问题,结合现有的全参考图像质量评价指标,研究了包括感知损失在内的几种损失函数,并提出了一种新的可微分损失函数。实验结果表明,在网络结构不发生改变的情况下,所提损失函数具有更好的性能,在提高微光图像信噪比和对比度的同时,能够有效地增强图像内部细节信息。     

一种新型混合跳频通信技术

文中提出了一种新型混合跳频通信技术,该技术结合传统跳频技术和差分跳频技术,在较窄的频带上采用差分跳频调制,并将该调制信号与另一更宽频带内的慢跳频信号进行混频,最终得到一个跳速高、频带宽的调制信号。接收端解调时,先按照传统跳频解调的方式进行慢跳频的解调,再按照差分跳频解调的方式对信号进行差分跳频解调。这种混合跳频通信技术在提高数据传输速率的同时,也可以很好地改善系统的误码率性能和抗单音干扰性能。     

Estimating failure time distribution and its parameters based on intermediate data from a Wiener degradation model

Instead of measuring a Wiener degradation or performance process at predetermined time points to track degradation or performance of a product for estimating its lifetime, we propose to obtain the first‐passage times of the process over certain nonfailure thresholds. Based on only these intermediate data, we obtain the uniformly minimum variance unbiased estimator and uniformly most accurate confidence interval for the mean lifetime. For estimating the lifetime distribution function, we propose a modified maximum likelihood estimator and a new estimator and prove that, by increasing the sample size of the intermediate data, these estimators and the above‐mentioned estimator of the mean lifetime can achieve the same levels of accuracy as the estimators assuming one has failure times. Thus, our method of using only intermediate data is useful for highly reliable products when their failure times are difficult to obtain. Furthermore, we show that the proposed new estimator of the lifetime distribution function is more accurate than the standard and modified maximum likelihood estimators. We also obtain approximate confidence intervals for the lifetime distribution function and its percentiles. Finally, we use light‐emitting diodes as an example to illustrate our method and demonstrate how to validate the Wiener assumption during the testing. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

雷达侦察效能对防空兵群抗击效率的影响评估

从信息化条件下防空作战的实际需要出发,描述了搜索雷达与火控雷达的侦察效能对群抗击效率影响的基本特点,运用概率论和防空兵射击指挥理论,建立了防空兵群分散指挥和集中指挥时,搜索与火控雷达发现目标概率对群抗击效率影响的数学模型,结合实例计算分析了选择射击指挥方式时搜索雷达发现目标概率的临界值。     

导航精度对某型电视制导无人攻击机攻击性能影响

针对电视制导无人机的作战使用方式,分析了影响其攻击性能的因素;建立了导航精度与攻击无人机捕获目标概率之间的关系;基于捷联惯导的误差分析,对无人机中制导末段的导航精度进行了计算。构建了对无人攻击机目标捕获概率进行仿真计算的方案,建立了方案航迹,对其进行了中制导精度分析和目标捕获概率计算,结果表明导航精度和捕获概率直接相关。     

A general model of heterogeneous system lifetimes and conditions for system burn‐in

Burn‐in is a technique to enhance reliability by eliminating weak items from a population of items having heterogeneous lifetimes. System burn‐in can improve system reliability, but the conditions for system burn‐in to be performed after component burn‐in remain a little understood mathematical challenge. To derive such conditions, we first introduce a general model of heterogeneous system lifetimes, in which the component burn‐in information and assembly problems are related to the prediction of system burn‐in. Many existing system burn‐in models become special cases and two important results are identified. First, heterogeneous system lifetimes can be understood naturally as a consequence of heterogeneous component lifetimes and heterogeneous assembly quality. Second, system burn‐in is effective if assembly quality variation in the components and connections which are arranged in series is greater than a threshold, where the threshold depends on the system structure and component failure rates. © 2003 Wiley Periodicals, Inc. Naval Research Logistics 50: 364–380, 2003.