一类高次多项式系统极限环的讨论

通过变换将一类高次多项式系统化为Lienard系统,利用Hopf分枝定理和张芷芬唯一性定理,证明了该类系统极限环的存在性与唯一性。     

滚动轴承故障智能诊断系统的研究

本文结合“滚动轴承故障智能诊断系统”的科研课题,介绍了智能诊断系统研制过程中轴承故障特征频率的近似计算、智能诊断报警参数的确定、报警门限值的确定、趋势预测及实验诊断结果分析。     

利用等价无穷小求极限的注记

该文给出了利用等价无穷小求解某类极限问题的一系列定理,使得求解这类极限过程大为简化.     

The impact of animal welfare regulations on firms' product offerings: Humane or organic product?

Increased public concerns about animal welfare have spurred new regulations to improve animals' treatment and living conditions. We study how these regulations affect firms' product offerings, prices, and profits. We consider two competing animal agriculture supply chains, each consisting of a supplier and a buyer. New regulations require firms to choose between offering humane or organic products, which are differentiated by animals' living conditions. We find that consumers' growing awareness of animal welfare encourages firms to offer organic products, which require the highest standards for animals' living conditions. We also show that tightening humane product standards and loosening organic product standards encourage firms to offer organic products—but with distinct pricing implications. The former leads to higher retail prices whereas the latter may lower retail prices. Depending on costs and consumers' awareness of animal welfare, a humane product may be priced higher or lower than an organic product. Furthermore, we provide conditions under which a regulator should offer a unit-cost or an investment cost subsidy to improve social welfare. We show that subsidies can encourage firms to change from offering humane to organic products, or vice versa, to enhance total social welfare.     

一种多方位一距离目标定位的最小二乘伴随估计器

对纯方位最小二乘估计器,在已知某时刻一个观测距离的情况下,导出了一种伴随型的目标速度估计器．该算法嵌入原最小二乘估计器之中,计算简单且便于工程应用．     

极限概念及其发展的哲学解析

极限是微积分学的核心概念。极限概念及其发展过程中充满辨证思维,蕴含着深刻的哲学思想,体现了辨证法的联系论、对立统一律、否定之否定律。     

采用向量内积的并行相关算法

针对软件接收机相关器计算的实时性问题,通过分析扩频信号的接收过程,建立一种基于向量内积的并行相关信号接收模型。利用图形处理单元中大量的浮点运算单元进行矩阵与向量运算,并行计算各通道相关值,提高了信号相关运算的实时性。仿真验证结果表明,利用基于GPU的向量内积软件并行相关算法计算25 MHz采样率时长1 ms的信号相关值,25个通道共150个相关运算耗时967μs,与CPU上基于数学核心函数库的实现相比速度约提高了61.4倍,能够实现宽带扩频信号软件实时相关接收。     

An adaptive forecasting algorithm and inventory policy for products with short life cycles

Products with short life cycles are becoming increasingly common in many industries, such as the personal computer (PC) and mobile phone industries. Traditional forecasting methods and inventory policies can be inappropriate for forecasting demand and managing inventory for a product with a short life cycle because they usually do not take into account the characteristics of the product life cycle. This can result in inaccurate forecasts, high inventory cost, and low service levels. Besides, many forecasting methods require a significant demand history, which is available only after the product has been sold for some time. In this paper, we present an adaptive forecasting algorithm with two characteristics. First, it uses structural knowledge on the product life cycle to model the demand. Second, it combines knowledge on the demand that is available prior to the launch of the product with actual demand data that become available after the introduction of the product to generate and update demand forecasts. Based on the forecasting algorithm, we develop an optimal inventory policy. Since the optimal inventory policy is computationally expensive, we propose three heuristics and show in a numerical study that one of the heuristics generates near‐optimal solutions. The evaluation of our approach is based on demand data from a leading PC manufacturer in the United States, where the forecasting algorithm has been implemented. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004.     

Exact likelihood inference for the exponential distribution under generalized Type‐I and Type‐II hybrid censoring

Chen and Bhattacharyya [Exact confidence bounds for an exponential parameter under hybrid censoring, Commun Statist Theory Methods 17 (1988), 1857–1870] considered a hybrid censoring scheme and obtained the exact distribution of the maximum likelihood estimator of the mean of an exponential distribution along with an exact lower confidence bound. Childs et al. [Exact likelihood inference based on Type‐I and Type‐II hybrid censored samples from the exponential distribution, Ann Inst Statist Math 55 (2003), 319–330] recently derived an alternative simpler expression for the distribution of the MLE. These authors also proposed a new hybrid censoring scheme and derived similar results for the exponential model. In this paper, we propose two generalized hybrid censoring schemes which have some advantages over the hybrid censoring schemes already discussed in the literature. We then derive the exact distribution of the maximum likelihood estimator as well as exact confidence intervals for the mean of the exponential distribution under these generalized hybrid censoring schemes. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004     

Optimal pricing for a short life‐cycle product when customer price‐sensitivity varies over time

Technology products often experience a life‐cycle demand pattern that resembles a diffusion process, with weak demand in the beginning and the end of the life cycle and high demand intensity in between. The customer price‐sensitivity also changes over the life cycle of the product. We study the prespecified pricing decision for a product that exhibits such demand characteristics. In particular, we determine the optimal set of discrete prices and the times to switch from one price to another, when a limited number of price changes are allowed. Our study shows that the optimal prices and switching times show interesting patterns that depend on the product's demand pattern and the change in the customers' price sensitivity over the life cycle of the product. © 2012 Wiley Periodicals, Inc. Naval Research Logistics, 2012