Bayesian sampling plans for exponential distributions with interval censored samples

This article studies the problem of designing Bayesian sampling plans (BSP) with interval censored samples. First, an algorithm for deriving the conventional BSP is proposed. The BSP is shown to possess some monotonicity. Based on the BSP and using the property of monotonicity, a new sampling plan modified by the curtailment procedure is proposed. The resulting curtailed Bayesian sampling plan (CBSP) can reduce the duration time of life test experiment, and it is optimal in the sense that its associated Bayes risk is smaller than the Bayes risk of the BSP if the cost of the duration time of life test experiment is considered. A numerical example to compute the Bayes risks of BSP and CBSP and related quantities is given. Also, a Monte Carlo simulation study is performed to illustrate the performance of the CBSP compared with the BSP. The simulation results demonstrate that our proposed CBSP has better performance because it has smaller risk. The CBSP is recommended. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 604–616, 2015     

基于混合高斯概率密度的加权打分方法

针对当前评比打分方法不能有效反映选手真实情况的问题,提出了一种基于混合高斯概率密度的加权打分方法。该方法的重点在于引入混合高斯分布来确定专家评分的权重。首先利用EM算法确定混合高斯分布模型参数,然后通过区间划分得到每个区间上的概率,再将专家打分映射到混合高斯概率密度函数区间上得到对应的权重,最后经加权求和得到选手的最终成绩。通过实例证明了该方法的合理性和公正性。     

喷雾式防火分隔水幕稳定性仿真

以单个喷雾式水幕喷头为研究对象,利用 Fluent 中离散相模型对不同压力下的喷雾水幕的工作稳定性进行了研究,计算了不同工作压力下水雾粒子的粒径分布和在气流作用下的偏移情况,分析了不同粒径粒子的速度衰减特性。研究表明：环境气流对水幕的稳定性影响很大,特别是粒径在200μm 以下的水雾粒子极容易受气流影响。在一定空间高度下,提高工作压力,可以使喷雾平均粒径变小,使之分布更均匀,有利于提高水幕的隔热性能;当空间高度超过一定范围后,水雾粒子速度急剧下降,增加工作压力水幕稳定性会降低。     

一类具有饱和发生率的离散型SIS传染病模型的全局渐近稳定性

研究一类具有饱和发生率的离散型SIS传染病模型,得到模型的基本再生数.通过比较原理以及构造适当的Lyapunov函数,证明当基本再生数R01时,无病平衡点是全局渐近稳定的;当基本再生数R01时,地方病平衡点是全局渐近稳定的.     

一类具有饱和发生率的离散型SIS传染病模型

研究一类具有饱和发生率的离散型SIS传染病模型,得到了模型的基本再生数.通过线性化的方法,运用LaSalle-Lyapunov定理,证明当基本再生数R01时,无病平衡点是全局渐近稳定的;通过迭代的方法,证明当基本再生数R01时,地方病平衡点是全局渐近稳定的.     

一种判别离散型随机变量相互独立的新方法

对两个离散型随机变量相互独立的问题,通过引入分布律矩阵的概念,借助矩阵理论中行向量的相关结论,提出一种新的判别独立的方法。与以往的方法相比,这种方法更为简单和实用,更重要的是具体操作过程中计算量大为减少。     

基于最优因果化提升结构及子带叠混的低内存DWT实现

基于提升结构的因果化实现及优化在将两带滤波器组转化为单进单出系统时子带系数的叠混模式,提出了一种改进的低内存需求的离散小波变换(Enhanced Low-memory Discrete Wavelet Transform,ELDWT)实现方法.相对于DWT的常规全局实现法,基于ELDWT实现的正、逆离散小波变换均具有与...     

风险偏好的区间值灰色模糊综合评判及其应用

由于被评判对象有时会带有某些不确定性以及信息量的多少及充分程度不同,使得这些对象在某些评判指标上属于某个评语的程度-隶属度及其对应的灰度不再是一个确定的数,常常是一个范围,针对此特点,尝试用区间值来表示灰度.引入一种反映风险偏好的风险指标,以此对评判结果灰度进行处理,定义了信息充分程度转化公式,利用其将评判结果转化为区间值集合,在此基础上建立了风险偏好的区间值灰色模糊综合评判的数学模型,并给出了它在方案优选中的应用.实例结果表明,这种方法是合理的、可行的、有效的.     

Joint pricing,assortment, and inventory decisions for a retailer's product line

Consider a set of product variants that are differentiated by some secondary attributes such as flavor, color, or size. The retailer's problem is to jointly determine the set of variants to include in her product line (“assortment”), together with their prices and inventory levels, so as to maximize her expected profit. We model the consumer choice process using a multinomial logit choice model and consider a newsvendor type inventory setting. We derive the structure of the optimal assortment for some important special cases, including the case of horizontally differentiated items, and propose a dominance relationship for the general case that simplifies the search for an optimal assortment. We also discuss structural properties of the optimal prices. Finally, motivated by our analytical results, we propose a heuristic solution procedure, which is shown to be quite effective through a numerical study. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007