Constrained minimax optimization of continuous search efforts for the detection of a stationary target

Analytical resolution of search theory problems, as formalized by B.O. Koopman, may be applied with some model extension to various resource management issues. However, a fundamental prerequisite is the knowledge of the prior target density. Though this assumption has the definite advantage of simplicity, its drawback is clearly that target reactivity is not taken into account. As a preliminary step towards reactive target study stands the problem of resource planning under a min–max game context. This paper is related to Nakai's work about the game planning of resources for the detection of a stationary target. However, this initial problem is extended by adding new and more general constraints, allowing a more realistic modeling of the target and searcher behaviors. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

天基支援下区域反导组网作战链路规划

天基信息支援下区域反导组网作战各系统实现互连、互通、互操作的关键是战术信息分发系统,而该系统中存在着多种类型的数据链路,这些链路之间又存在着各种约束条件,因此科学合理的对这些链路进行规划是系统实现的重要工作之一.建立并提出了天基信息支援下区域反导组网作战战术信息分发系统数据链路的规划模型和一种新的解算方法,为该系统数据链路的规划提供了理论依据.     

基于匈牙利算法求解的火力分配问题

匈牙利算法是求解指派问题的一个很好的算法,但一般情况下,火力分配问题的数学模型不具备指派问题的模型形式.针对目标函数是线性或非线性的一类火力分配问题,提出了虚拟火力单位或目标的方法,将问题转化为能够用匈牙利算法求解的指派问题,该方法简单、易于计算,有很高的应用价值.     

威布尔分布场合下无失效数据的Bayes分析

通过对分布函数进行变换,使变换后的函数成为凹函数,利用凹函数性质给出了各检测时刻失效概率的Bayes估计,进而得到了产品可靠性指标的估计。最后,通过对实际数据进行计算,验证了方法的稳定性。     

基于支持向量机的彩色图像恢复新方法

引起图像退化的因素众多,因而难以用一个统一的方法来进行恢复处理。鉴于图像的像素和各颜色分量通道间本质上存在某种相关性,以及以支持向量机为核心的统计学习理论具有较好地解决小样本、非线性、高维数问题的能力,提出了一种新的空域图像恢复方法,并通过对来自于待处理图像本身的训练样本的学习,构造自适应的回归插值函数;然后基于该函数对图像作有选择的修改,从而达到图像恢复的目的。实验表明,该方法是有效的,并且具有较好的泛化性能。     

一种可调控的申请分配模型及应用

针对分配总量一定情况下的申请分配问题,给出了一种带有决策者意愿的分配模型;讨论了模型中各参数的取值范围,得出了使得模型有意义的参数取值范围;给出了具体的应用案例,通过选取不同的参数得出了不同结果,说明了模型的有效性。     

Cost allocation rules for elastic single‐attribute situations

Many cooperative games, especially ones stemming from resource pooling in queueing or inventory systems, are based on situations in which each player is associated with a single attribute (a real number representing, say, a demand) and in which the cost to optimally serve any sum of attributes is described by an elastic function (which means that the per‐demand cost is non‐increasing in the total demand served). For this class of situations, we introduce and analyze several cost allocation rules: the proportional rule, the serial cost sharing rule, the benefit‐proportional rule, and various Shapley‐esque rules. We study their appeal with regard to fairness criteria such as coalitional rationality, benefit ordering, and relaxations thereof. After showing the impossibility of combining coalitional rationality and benefit ordering, we show for each of the cost allocation rules which fairness criteria it satisfies. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 271–286, 2017     

Probabilistic resource pooling games

We study a setting with a single type of resource and with several players, each associated with a single resource (of this type). Unavailability of these resources comes unexpectedly and with player‐specific costs. Players can cooperate by reallocating the available resources to the ones that need the resources most and let those who suffer the least absorb all the costs. We address the cost savings allocation problem with concepts of cooperative game theory. In particular, we formulate a probabilistic resource pooling game and study them on various properties. We show that these games are not necessarily convex, do have non‐empty cores, and are totally balanced. The latter two are shown via an interesting relationship with Böhm‐Bawerk horse market games. Next, we present an intuitive class of allocation rules for which the resulting allocations are core members and study an allocation rule within this class of allocation rules with an appealing fairness property. Finally, we show that our results can be applied to a spare parts pooling situation.     

基于时频分布的弹道导弹目标识别方法

在弹道导弹目标识别中,微动特征是重要的识别手段。从弹道导弹微动特性时频分析出发,提出一种基于时频分布的弹道导弹目标识别方法。该方法将时频分布图的伪Zeinike不变矩特征作为识别特征。首先对回波信号进行时频变换以获取时频图像;然后为了降低噪声的影响,对其进行图形预处理;最后给出了伪Zernike不变矩提取步骤及识别特征的选取原则。通过仿真实验,分析了不同特征组合对识别率的影响,评估了不同信噪比下识别方法的稳定性。实验结果表明,该方法具有一定稳定性,可用于弹道导弹目标识别。     

基于Bayes统计理论的射表编拟方法

全面系统阐述了Bayes统计理论下的射表编拟方法,具体研究了验前信息的处理、符合计算、编拟计算及试验用弹量的确定等几个关键难点问题,同时导出了确定先验分布中未知参数的计算公式、射表基本诸元的后验估计公式、射表试验用弹量的计算公式。通过两个实例对其具体使用方法给予了详细说明并对其结果进行了分析,指出应用该方法可以在相同精度要求下节省用弹量或在相同用弹量下提高射表精度,具有很好的经济适用价值。