A nonparametric approach to accelerated life testing under multiple stresses

Accelerated life testing (ALT) is concerned with subjecting items to a series of stresses at several levels higher than those experienced under normal conditions so as to obtain the lifetime distribution of items under normal levels. A parametric approach to this problem requires two assumptions. First, the lifetime of an item is assumed to have the same distribution under all stress levels, that is, a change of stress level does not change the shape of the life distribution but changes only its scale. Second, a functional relationship is assumed between the parameters of the life distribution and the accelerating stresses. A nonparametric approach, on the other hand, assumes a functional relationship between the life distribution functions at the accelerated and nonaccelerated stress levels without making any assumptions on the forms of the distribution functions. In this paper, we treat the problem nonparametrically. In particular, we extend the methods of Shaked, Zimmer, and Ball [7] and Strelec and Viertl [8] and develop a nonparametric estimation procedure for a version of the generalized Arrhenius model with two stress variables assuming a linear acceleration function. We obtain consistent estimates as well as confidence intervals of the parameters of the life distribution under normal stress level and compare our nonparametric method with parametric methods assuming exponential, Weibull and lognormal life distributions using both real life and simulated data. © 1998 John Wiley & Sons, Inc. Naval Research Logistics 45: 629–644, 1998     

长码直扩信号的符号速率盲估计方法

针对长码直接序列扩频(DSSS)信号的符号速率估计的难题,提出了基于相关处理的方法。该方法首先估计长码直扩信号的相关函数二阶矩,然后将相关函数二阶矩的估计作为输入信号进行预处理,以去除扩频码周期处的峰值。对预处理后的信号再次进行自相关处理,则所得的信号的频谱中含有符号速率谱线。理论分析和计算机仿真证明了所提出的算法的有效性。     

A guarantee rate optimization model for wastewater treatment system design under uncertainty

We consider a design problem for wastewater treatment systems that considers uncertainty in pollutant concentration levels at water sources. The goal is to optimize the selection of treatment technologies and pipeline connections, so that treated wastewater can achieve specified effluents discharge limits as well as possible. We propose a new two-stage model to optimize a set of guarantee levels, that is, the maximum concentration level of source pollutants for which treated wastewater can be compliant with discharge limits. In the first stage, treatment technologies and pipeline connections are selected. In the second stage, when pollutant concentration levels are revealed, wastewater distribution and mixing are determined. A key attractiveness of the proposed guarantee rate optimization model is that it can be simplified into a single-stage mixed-integer linear program. In our numerical experiments based on real-world pollutants data, the guarantee rate model demonstrates its advantages in terms of computational efficiency, scalability and solution quality, compared with the standard probability maximization model. Finally, the methodology proposed in this paper can also be applied to other two-stage problems under uncertainty with similar uncertainty characteristics.     

See the light: Optimization of put-to-light order picking systems

Put-to-light order picking systems invert the basic logic of conventional picker-to-parts systems. Instead of successively visiting the storage positions of the stock keeping units (SKUs) when collecting picking orders, an order picker accompanies successive bins each containing multiple items of a specific SKU along a lane of subsequent orders. Whenever the picker passes an order requiring the current SKU, which is indicated by a light signal, she puts the requested number of items into the bin associated with the order. Such an order picking system is well-suited if the assortment is not overly large and all orders demand similar SKUs, so that it is mainly applied in distribution centers of brick-and-mortar retail chains. This paper evaluates four different setups of put-to-light systems, which, during operations, require the solution of different storage assignment and SKU sequencing problems. We formulate these problems, prove computational complexity, and suggest suited solution algorithms. By applying these algorithms in a comprehensive computational study, we benchmark the impact of the four different setups on picking performance. In this way, warehouse managers receive decision support on how to set up their put-to-light systems.     

协方差压缩感知逆合成孔径雷达成像技术

为解决低信噪比条件下短观测时间雷达成像问题,提出一种基于回波协方差矩阵处理的压缩感知逆合成孔径雷达成像技术。该方法构建了回波协方差矩阵层面下的压缩感知问题模型,并通过特定的线性变换降低环境噪声对成像结果的影响。在仿真实验中,通过处理短观测时间和低信噪比条件下的模拟回波数据,该方法获得比传统压缩感知方法像质更好、对比度更强的目标成像结果。同时,其成像结果的目标背景比和背景噪声能量两个雷达图像评价指标都优于传统方法,进一步验证了该方法的有效性。     

气液比对液体中心式气液同轴离心喷嘴燃烧过程的影响

为了分析气液比对液体中心式气液同轴离心喷嘴燃烧过程的影响,针对一台采用液体中心式气液同轴离心喷嘴的燃气发生器在不同气液比下进行热试,并对试验结果进行深入分析。结果表明:随着气液比的增加,燃烧过程存在三种状态——稳定燃烧、稳定燃烧过渡到低频不稳定燃烧、低频不稳定燃烧。这种低频不稳定燃烧与供应系统的振荡无关,是由气液比增加造成三岔火焰远离喷注面板,当三岔火焰到达喷雾撞击点后火焰稳定性降低,使得火焰在回流区内前后振荡引起的。     

斜入射条件下F-P干涉腔透过率特性分析

分析了斜入射角条件下F-P干涉腔的透过率特性;结合单层介质膜和单层金属膜的反射特性随入射角的变化规律,得出了反射特性参数为恒定值时微腔、低反F-P干涉腔透过率的计算误差;仿真结果表明,在光束斜入射条件下,特别是在大入射角下,单层介质膜的反射率指数增大,单层金属膜的反射率和反射相移也指数增大,但其吸收系数指数减小,造成微腔、低反F-P干涉腔透过率曲线与反射特性参数为恒定值时相比均明显向下偏移,且偏移量逐渐增大。     

作战体系有序性判别模型*

未来作战已经逐步演变为体系之间的对抗,为确保我军作战体系有序进行发挥其作战力量,探讨了作战体系有序性问题;应用了耗散结构理论和灰色系统理论,把灰关联度与熵结合起来,以序参量为基础,建立了基于灰关联熵的作战体系有序性判别模型.研究结果为对作战体系实施调控提供了依据,使作战体系符合现代战场态势发展的需要.     

一类二阶微分方程Poincaré分岔极限环的不存在性

讨论一类二阶微分方程x¨+εf(x,x.)x.+g(x)=0的Poincar分岔极限环的不存在性,利用一阶Mel’nikov函数直接从整体上进行分析讨论,得出了若干充分条件和判别准则。     

军事欺骗战法分析的数学方法-应用

针对军事欺骗战法定量分析困难的问题,采用基于贝叶斯统计推断和博弈均衡分析的数学方法,在理论上为解决此难题提供了一种可行的方法。该方法首先定义基本概率矩阵,然后根据贝叶斯原理为交战双方构造用于统计推断的主观概率矩阵,并在由两个主观概率矩阵元素构成的偏序链与实施军事欺骗机会之间建立对应关系,再将此关系推广到基本概率矩阵,即是否存在实施军事欺骗的机会将由基本概率矩阵元素构成的偏序链决定。对理论成果的初步应用表明：通过分析由战场情报信息构成的基本概率矩阵的偏序链,可以科学地运用军事欺骗和反军事欺骗战法。