关于=2~(1/2)的一种推导

应用一级近似下的泰勒级数及统计平均的概念 ,简明地推出公式 u =2 v 。     

Preservation of stochastic orders for random minima and maxima,with applications

It is shown, in this note, that the right spread order and the increasing convex order are both preserved under the taking of random maxima, and the total time on test transform order and the increasing concave order are preserved under the taking of random minima. Some inequalities and preservation properties in reliability and economics are given as applications. © 2003 Wiley Periodicals, Inc. Naval Research Logistics, 2004.     

群时延傅里叶分解模型及其估计方法

建立了基于三角函数级数的群时延模型,并理论证明了仅采用有限阶数的三角函数群时延即可表征任意群时延对信号相关峰的影响。在此基础上,通过测量信号相关峰,并与不同三角函数群时延组合下的相关峰进行匹配搜索即可估计群时延的三角函数分解级数,从而估计得到相关峰影响等效的群时延特性。仿真中,采用该方法估计得到的群时延特性对滤波器进行修正后,信号相关峰与经过滤波器之前的信号相关峰高度吻合,时延估计偏差在0.1 ns之内。     

Newsvendor problems with sequentially revealed demand information

This article analyzes a capacity/inventory planning problem with a one‐time uncertain demand. There is a long procurement leadtime, but as some partial demand information is revealed, the firm is allowed to cancel some of the original capacity reservation at a certain fee or sell off some inventory at a lower price. The problem can be viewed as a generalization of the classic newsvendor problem and can be found in many applications. One key observation of the analysis is that the dynamic programming formulation of the problem is closely related to a recursion that arises in the study of a far more complex system, a series inventory system with stochastic demand over an infinite horizon. Using this equivalence, we characterize the optimal policy and assess the value of the additional demand information. We also extend the analysis to a richer model of information. Here, demand is driven by an underlying Markov process, representing economic conditions, weather, market competition, and other environmental factors. Interestingly, under this more general model, the connection to the series inventory system is different. © 2012 Wiley Periodicals, Inc. Naval Research Logistics 2012     

采用时序多属性评价方法的空战威胁排序

鉴于空战中威胁目标的多属性及动态变化特点,提出采用时序多属性评价方法来解决空战目标动态威胁排序问题。在建立空战威胁指标体系基础上,采用熵权法确定目标属性权重,并通过指数分布法确定各时刻权重,最后综合依据威胁目标多时刻的属性信息,实现了空战动态威胁排序。仿真结果说明该方法的合理性。     

Hilbert谱分析和平稳度

提出了本征模式函数IMF成员相应的幅度及频率时间函数的计算方法。由函数的Hilbert谱可获得相关的边缘谱,边缘谱确定了几乎连续的能量分布,从而提供了通过每个频率值测量总能量的方法。根据能量-频率-时间分布,就可以定量确定平稳性,平稳性是物理过程的一个复杂属性,其由平稳度DS和统计平稳度DSS进行度量,同时给出了DS和DSS的计算公式。     

Exact expected values of variance estimators for simulation

We formulate exact expressions for the expected values of selected estimators of the variance parameter (that is, the sum of covariances at all lags) of a steady‐state simulation output process. Given in terms of the autocovariance function of the process, these expressions are derived for variance estimators based on the simulation analysis methods of nonoverlapping batch means, overlapping batch means, and standardized time series. Comparing estimator performance in a first‐order autoregressive process and the M/M/1 queue‐waiting‐time process, we find that certain standardized time series estimators outperform their competitors as the sample size becomes large. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

On the effectiveness of top‐down strategy for forecasting autoregressive demands

We investigate the relative effectiveness of top‐down versus bottom‐up strategies for forecasting the demand of an item that belongs to a product family. The demand for each item in the family is assumed to follow a first‐order univariate autoregressive process. Under the top‐down strategy, the aggregate demand is forecasted by using the historical data of the family demand. The demand forecast for the items is then derived by proportional allocation of the aggregate forecast. Under the bottom‐up strategy, the demand forecast for each item is directly obtained by using the historical demand data of the particular item. In both strategies, the forecasting technique used is exponential smoothing. We analytically evaluate the condition under which one forecasting strategy is preferred over the other when the lag‐1 autocorrelation of the demand time series for all the items is identical. We show that when the lag‐1 autocorrelation is smaller than or equal to 1/3, the maximum difference in the performance of the two forecasting strategies is only 1%. However, if the lag‐1 autocorrelation of the demand for at least one of the items is greater than 1/3, then the bottom‐up strategy consistently outperforms the top‐down strategy, irrespective of the items' proportion in the family and the coefficient of correlation between the item demands. A simulation study reveals that the analytical findings hold even when the lag‐1 autocorrelation of the demand processes is not identical. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2007.     

对一种混沌加密图像方法的破译研究

介绍了利用混沌映射系统进行保密通信的理论依据。分析了一种利用混沌动力学方程所形成的混沌序列来对图像进行加密的方案,并用程序语言予以实现。针对这种一维混沌加密算法,在加密方程、参数和初始值完全未知的前提下,运用相空间重构法和穷举法对其进行了破译研究并成功将其破译。总结了加密和破译方法的优缺点,提出了一种抗破译能力更强的加密方案。     

基于地磁模式组的舰船消磁电流调整器

利用泰勒多项式的建模方法建立了地磁模式组 ,该模式组能够满足消磁电流调整器的应用要求 ,且具有很好的稳定性 ,均方根偏差很小 ,实际应用也比较方便 .在此基础上 ,提出了基于地磁模式组的无探头消磁电流调整器 ,该消磁电流调整器具有结构简单、可靠性高、水上水下通用及免除抗干扰调整等优点