Minimizing sums and products of linear fractional functions over a polytope

In this paper, we develop efficient deterministic algorithms for globally minimizing the sum and the product of several linear fractional functions over a polytope. We will show that an elaborate implementation of an outer approximation algorithm applied to the master problem generated by a parametric transformation of the objective function serves as an efficient method for calculating global minima of these nonconvex minimization problems if the number of linear fractional terms in the objective function is less than four or five. It will be shown that the Charnes–Cooper transformation plays an essential role in solving these problems. Also a simple bounding technique using linear multiplicative programming techniques has remarkable effects on structured problems. © 1999 John Wiley & Sons, Inc. Naval Research Logistics 46: 583–596, 1999     

优序法在舰艇编队导弹攻击效能评估中的应用

导弹攻击是舰艇编队海上行动的主要作战样式,其导弹攻击效能的评估十分重要。首先建立了舰艇编队导弹攻击作战效能评价指标体系,然后介绍了评估舰艇编队导弹攻击效能的一种新方法——优序法,该方法应用简单,既可以处理定性问题,又能处理定量问题。最后给出了应用实例,验证了优序法比较适合于对舰艇编队导弹攻击效能进行评估。通过对舰艇编队导弹攻击效能的评估,可以有效地选用合适的舰艇编队样式。     

Volume discount decisions: Wealth maximization or EOQ approach?

A recent paper finds that when volume discounts are available, in some cases, reliance on the Economic Order Quantity (EOQ) model can induce purchasers to make wealth reducing decisions, and the Present Value (PV) approach should be preferred. While this finding is theoretically correct, the magnitudes of wealth reductions suggested by the paper's numerical examples seem to be questionable. Furthermore, the paper also finds that, in some other cases, a purchaser using the EOQ approach realizes a net increase in current wealth compared to a purchaser using the PV approach. Logic suggests that such a finding cannot be correct, since by its very definition, it is the PV approach that seeks to maximize the current wealth. We offer an alternative frame of comparison and a modified model to show that, under the paper's assumptions, the EOQ approach can never realize a net increase in current wealth compared to the current wealth generated by the PV approach. On the other hand, we also show that when typical values of the relevant parameters prevail, the additional costs imposed by the EOQ approach are not significant. Finally, we suggest that insofar as the PV approach requires greater administrative costs to implement, it may even be counterproductive to the goal of wealth maximization. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 377–389, 1998     

On lifetimes in random environments

For a component operating in random environment, whose hazard rate is assumed to be the realization of a suitable increasing stochastic process, conditions are found such that its lifetime is increasing in likelihood ratio (ILR). For the lifetimes of two components of the same kind some comparisons based on partial stochastic orders are presented. Some applications to the case of repairable components are finally provided. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 365–375, 1998     

Estimating reliability of components with increasing failure rate using series system data

The maximum likelihood estimator (MLE) for a distribution function with increasing failure rate is derived, based on a collection of series system data. Applications can arise in industries where operating environments make available only such system-level data, due to system configuration or type-II censoring. The estimator can be solved using isotonic regression. For the special case in which systems contain one component, the estimator is equivalent to the restricted maximum likelihood estimator of Marshall and Proschan [9]. The MLE is illustrated using emergency diesel generator failure data from the nuclear industry. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 115–123, 1998     

变窗长秩排序统计滤波器与噪声图象滤波

基于信号分解理论,在非线性秩排序统计滤波器基础上,提出一种新型的非线性滤波器结构——二值秩排序统计滤波器。主要工作包括:(1)提出了滤波器的定义和实现结构;(2)实现算法;(3)滤波特性分析;(4)噪声图象滤波的计算机仿真。理论分析和实验结果表明,本文提出的滤波器具有良好的脉冲干扰抑制能力和边缘保持特性,硬件实现简单。     

加权Fourier变换及其统计性质

提出了零均值平稳序列的加权Ｆｏｕｒｉｅｒ变换,讨论了其统计性质,给出了其数学期望与方差的收敛速度．     

加工复杂曲面的三阶切触原理

本文把微分几何中曲线与曲面之间的“切触”概念应用于复杂曲面的数控加工,提出用圆柱铣刀或圆锥盘铣刀的外圆在五坐标联动中加工三维自由曲面的最佳切触条件。     

Xunzi on the Role of the Military in a Well-Ordered State

Chapter 15 of the Xunzi stands as the most comprehensive account of the early Confucian analysis of warfare. Unlike a range of other early, non-Confucian discussions on warfare, particular strategies and tactics are taken to be of secondary importance. Thus, Xunzi refuses to discuss practical military strategy without framing it within a much broader ethical, social, and political context. On his account, a well-ordered, flourishing state necessarily rests upon a particular set of rituals and social norms in which people can cultivate themselves morally. Such a state has nothing to fear from any enemy, no matter how tactically sophisticated or militarily skilled. To many, such a view seems overly optimistic. However, given that Xunzi is anything but Pollyannaish in other parts of the text and is quite pessimistic about human nature in general, it behooves us to dig a bit more deeply into his ideas about military affairs and examine whether they can be understood in a more plausible light. This article provides a reading of Xunzi’s views on military affairs that is internally consistent and corresponds with Xunzi’s broader ethical and political views, while also showing why someone of Xunzi’s obvious intellectual acumen might hold such a view.     

基于高阶谱分析的机械故障特征识别

在分析高阶累积量与高阶谱的理论基础上，利用高阶谱可以抑制加性高斯噪声的性质，研究了基于高阶谱分析的机械故障特征提取方法，提出了基于双谱估计的齿轮故障诊断的方法。通过对齿轮信号的双谱特征图谱进行分析比较，成功地对齿轮的正常稳态振动信号、正常瞬态振动信号以及磨损瞬态信号进行了识别，效果十分显著。