On efficient algorithms for finding efficient salvo policies

We consider the salvo policy problem, in which there are k moments, called salvos, at which we can fire multiple missiles simultaneously at an incoming object. Each salvo is characterized by a probability p_i: the hit probability of a single missile. After each salvo, we can assess whether the incoming object is still active. If it is, we fire the missiles assigned to the next salvo. In the salvo policy problem, the goal is to assign at most n missiles to salvos in order to minimize the expected number of missiles used. We consider three problem versions. In Gould's version, we have to assign all n missiles to salvos. In the Big Bomb version, a cost of B is incurred when all salvo's are unsuccessful. Finally, we consider the Quota version in which the kill probability should exceed some quota Q. We discuss the computational complexity and the approximability of these problem versions. In particular, we show that Gould's version and the Big Bomb version admit pseudopolynomial time exact algorithms and fully polynomial time approximation schemes. We also present an iterative approximation algorithm for the Quota version, and show that a related problem is NP-complete.     

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。     

Simple paths with exact and forbidden lengths

We study new decision and optimization problems of finding a simple path between two given vertices in an arc weighted directed multigraph such that the path length is equal to a given number or it does not fall into the given forbidden intervals (gaps). A fairly complete computational complexity classification is provided and exact and approximation algorithms are suggested.     

变质心再入飞行器的质心移动方式研究

变质心控制是一种利用质量块的主动移动来改变飞行器质量特性的控制方式,该控制方式对于克服各种高速飞行器执行机构的气动烧蚀问题有着重要的意义.通过建立变质心再入飞行器的线性化方程,研究了质量块在飞行器内部不同方向上移动与可建立配平攻角之间的关系,并通过仿真计算可知再入飞行器再入的不同阶段质量块沿不同方向移动时的控制效率是有所差别的.研究结论对于提高变质心再入飞行器的控制效率有着重要的意义.     

MADM中不同属性的规范化研究

不同属性值的规范化是多属性决策问题中的重要过程.提出了一种属性值作为点到优区间和劣区间的距离的定义,依据该定义得到了属性值规范化新方法,并通过实例证明了新规范化方法的有效性.     

应急装备保障多阶段长途运输模型研究

通过对应急装备保障实际场景的分析,提出装备应急运输过程应分2个不同的阶段进行研究。重点讨论了第1阶段涉及的运输问题,并建立相应数学模型。通过数学软件matlab实现了模型的求解,最后通过算例分析证明了模型的有效性。为相关运输问题的解决提供了一种有效的方法。     

基于表面电荷法的像管静电场计算

与传统的有限差分法和有限元法相比,表面电荷法可降低单元剖分难度并能处理开放边界,更适于计算静电透镜的静电场。针对轴对称及非轴对称两类结构,采用样条函数及奇异形状函数改进电极表面的电荷密度估计,讨论了二维及三维表面电荷法的实现。与具有解析解的单位圆盘进行比较,分析了表面电荷法的电位计算精度,并用于轴对称及非轴对称像管计算。结果表明：对轴对称系统,在文中给定步长下,二维及三维表面电荷法与有限差分法计算相对误差不超过10^-3,且二维方法精度整体高于三维方法,二维、三维表面电荷法对3种像面位置的计算结果与有限差分法结果相比,最大误差不超过0.6mm;对非轴对称系统,3种方案下轴外电子运行轨迹的差异明显,非对称因素所产生的干涉场影响是不可忽略的。     

双枝模糊评判在舰炮性能评估中的应用*

针对舰炮武器性能指标,运用双枝模糊决策方法对舰炮武器性能进行综合评估.该方法提出了新的论域[-1,1],使评估更能符合人的思维逻辑,能够客观的对舰炮性能进行评估,通过对多中舰炮的具体参数指标进评估,得出各种舰炮的性能优劣的排序,具体的数学模型仿真表明,对舰炮武器性能的评估是行之有效的.     

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     

线性相依风险下的超额赔款再保险

本文从保险人的角度研究对两类相依风险的超额赔款再保险的最优自留额问题。考虑指数效用函数的货币期望效用原则和自留累积损失的调节系数原则,得到关于这两个问题的最优解的方程。