Maximizing the ratio of two convex functions over a convex set

The purpose of this article is to present an algorithm for globally maximizing the ratio of two convex functions f and g over a convex set X. To our knowledge, this is the first algorithm to be proposed for globally solving this problem. The algorithm uses a branch and bound search to guarantee that a global optimal solution is found. While it does not require the functions f and g to be differentiable, it does require that subgradients of g can be calculated efficiently. The main computational effort of the algorithm involves solving a sequence of subproblems that can be solved by convex programming methods. When X is polyhedral, these subproblems can be solved by linear programming procedures. Because of these properties, the algorithm offers a potentially attractive means for globally maximizing ratios of convex functions over convex sets. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

编队战斗机超视距空战效能评估

第三代战斗机主要空战模式是超视距空战,对编队战斗机超视距空战的全过程进行分析,建立了战斗机编队和导弹的运动模型,以领先发射概率和空战交换比作为评估指标,对编队战斗机超视距空战效能进行评估,最后给出了算例,重点分析了地面防空火力和编队战斗机数量、携带导弹总数等因素对空战交换比的影响.     

Fe~(3+)与S~(2-)反应的研究

Fe3+ 与S2 - 反应是一个典型的竞争反应 ,反应的生成物与反应条件有着非常密切的关系。通过理论研究和实验验证 ,确认在酸性介质中反应的生成物为Fe3+ 和单质S↓ ;在碱性介质中反应的生成物为黑色Fe2 S3↓。     

用于目标弱信号处理的三重相关匹配滤波技术

分析了在二重相关匹配滤波技术的基础上实现三重相关匹配滤波的方法。三重相关匹配滤波对于目标的弱信号进行检测和处理 ,具有广泛的实用价值。给出了一个红外搜索目标信号处理的计算机模拟结果 ,并对计算机模拟结果进行了分析 ,证明了三重相关匹配滤波技术相对于二重相关和三重相关检测技术的优越性     

函数变换提高灰色预测模型精度的条件

指出选择函数变换来提高模型精度主要与三个方面的因素有关：提高数据序列的光滑比、调整数据序列的级比和确保凸凹性。在调整级比方面,扩充了级比压缩变换的相关定理,并讨论了几种常用的函数变换在上述三个方面的关系。最后结合实例提出,对于变换后的数据序列若不满足这三方面的要求可以再进行函数变换以达到提高模型精度的目的。     

横向扰动对超声速混合层被动标量混合影响分析

采用大涡模拟数值计算二维空间发展的超声速混合层,重点分析横向扰动对混合层的标量结构、标量厚度以及标量体积卷吸率的影响。采用理论模型验证了数值方法在计算标量混合特性方面的准确性。结果表明,横向扰动频率和振幅明显影响着混合层的标量增长率和卷吸率。高频扰动增大了混合层近场标量增长率和卷吸率,但是低频扰动改善了混合层远场标量增长率。大尺度涡卷吸过程对混合层标量卷吸率起决定作用。多频扰动有效地增强了超声速混合层的标量混合。     

粘弹性泊松比的各种表述方法

本文讨论线性粘弹泊松比的四种表述法:微分算子法、遗传积分法、复数表示法和经验表示法的实用价值和问题。为固体推进剂力学性态的描述提供了方便。     

火炮身管寿命的分布函数

本文运用可靠性理论和《130mm 加农炮剩余寿命的一种预测模型》一文的结果,证明火炮身管寿命服从 Weibull 分布,并以130mm 加农炮为实例,给出参数的比值估计方法.     

气液同轴式喷嘴缩进比对雾化细度影响的实验

缩进比是液体火箭发动机气液同轴式喷嘴设计中一个重要参数。本文对缩进比对喷嘴雾化特性的影响进行了实验研究。结果表明;在不同工作参数下不同缩进比的喷嘴,其雾化特性有一定的差别。缩进比对雾化细度的影响不如其对雾化的流强和混合比分布及噪声等的影响明显。在气侧压降较小时,缩进比过大过小都不利于雾化;而在气侧压降较大时,缩进比较大或较小都会对雾化有一定的改善。但当缩进比过大时,气液之间的相互作用会使得液体喷注压降明显地波动。     

Directional change‐point detection for process control with multivariate categorical data

Most modern processes involve multiple quality characteristics that are all measured on attribute levels, and their overall quality is determined by these characteristics simultaneously. The characteristic factors usually correlate with each other, making multivariate categorical control techniques a must. We study Phase I analysis of multivariate categorical processes (MCPs) to identify the presence of change‐points in the reference dataset. A directional change‐point detection method based on log‐linear models is proposed. The method exploits directional shift information and integrates MCPs into the unified framework of multivariate binomial and multivariate multinomial distributions. A diagnostic scheme for identifying the change‐point location and the shift direction is also suggested. Numerical simulations are conducted to demonstrate the detection effectiveness and the diagnostic accuracy.© 2013 Wiley Periodicals, Inc. Naval Research Logistics, 2013