Steady‐state diffusion approximations for discrete‐time queue in hospital inpatient flow management

In this article, we analyze a discrete‐time queue that is motivated from studying hospital inpatient flow management, where the customer count process captures the midnight inpatient census. The stationary distribution of the customer count has no explicit form and is difficult to compute in certain parameter regimes. Using the Stein's method framework, we identify a continuous random variable to approximate the steady‐state customer count. The continuous random variable corresponds to the stationary distribution of a diffusion process with state‐dependent diffusion coefficients. We characterize the error bounds of this approximation under a variety of system load conditions—from lightly loaded to heavily loaded. We also identify the critical role that the service rate plays in the convergence rate of the error bounds. We perform extensive numerical experiments to support the theoretical findings and to demonstrate the approximation quality. In particular, we show that our approximation performs better than those based on constant diffusion coefficients when the number of servers is small, which is relevant to decision making in a single hospital ward.     

二次流引射对保形非对称喷管性能的影响

发动机与飞机后体结构设计合理与否直接影响发动机的部件匹配和性能。利用三维雷诺平均N-S方程和k-ωSST湍流模型对飞翼布局无人机保形非对称喷管在典型飞行状态下开展了内外流流场特性的数值分析,获得了后体尾喷管推力性能和三维流动特征随二次流压力比的变化趋势。结果表明:发动机喷管落压比条件一定的前提下,通过合理优化二次流通道、增大二次流压力比,可以有效改善后体/喷管主流流场特性;当二次流与主流的流量比在0. 2%～1. 86%内时,后体尾喷管轴向推力系数的变化幅度大约为3%,在一定程度上能够减弱发动机主流的过膨胀程度,减小发动机推力损失,无人机后体尾喷管性能得到显著提高。     

通过应力波速测试丁苯橡胶的瞬态模量

运用粘弹性材料的积分型本构关系和应力波理论得出了粘弹性材料瞬态模量的计算式;又以丁苯橡胶作为试验材料设计了一种简便的试验方法,测出了丁苯橡胶的瞬态模量,并与丁苯橡胶的静态弹性模量做了对比。比较表明,丁苯橡胶类粘弹材料静态模量的值远低于瞬态模量值。     

基于小波变换模极大值的自适应阈值图像去噪算法

依据白噪声小波变换性态与信号奇异性相比具有显著不同的特点,在大尺度下设置阈值,去掉噪声信号而保留图像细节信号引起的模极大值点。在阈值设置问题上,采用自适应阈值的方法,克服单一阈值不能在每级尺度上将信号与噪声作最大分离的缺点。实验表明,与单一阈值去噪方法相比,该方法不仅可以保留图像边缘信息,而且能提高去噪后图像的峰值信噪比2~5 dB。     

石河子垦区人口结构成因及思考

人口是影响和谐社会建设的一个十分重要的因素。本文从人口出生率和自然增长率逐年下降、生育高峰期妇女生育率下降、独生子女群体日益增大、家庭规模呈日渐缩小、人口老龄化趋势加速五个方面分析了石河子垦区人口结构特征及成因,并就如何统筹解决人口问题,构建和谐垦区提出了思考。     

基于微裂纹模型的材料可靠性预计

讨论了微裂纹的某些不同于大型裂纹的增长特性,提出了一种微裂纹在某种材料上的多级扩展模型,利用微裂纹的增长数据来预计材料的可靠性。     

浅析炮车比

本文以坦克发射时车体的角振幅和乘员所受加速度不超过一定值为基础,推导了炮车比极限值的理论公式;并对影响炮车比极值的因素进行了分析,最后,以59式坦克为例得出炮车比不超过1.71,该结论具有普遍意义.     

关于潜艇装备劳兰C导航仪技术问题的研究

本文提出了一种改善潜艇现有天线接收性能的方法,从而解决了在潜艇上安装使用劳兰C导航仪的关键技术问题。     

横向扰动对超声速混合层被动标量混合影响分析

采用大涡模拟数值计算二维空间发展的超声速混合层,重点分析横向扰动对混合层的标量结构、标量厚度以及标量体积卷吸率的影响。采用理论模型验证了数值方法在计算标量混合特性方面的准确性。结果表明,横向扰动频率和振幅明显影响着混合层的标量增长率和卷吸率。高频扰动增大了混合层近场标量增长率和卷吸率,但是低频扰动改善了混合层远场标量增长率。大尺度涡卷吸过程对混合层标量卷吸率起决定作用。多频扰动有效地增强了超声速混合层的标量混合。     

Capacity investment decisions under risk aversion

This article studies the optimal capacity investment problem for a risk‐averse decision maker. The capacity can be either purchased or salvaged, whereas both involve a fixed cost and a proportional cost/revenue. We incorporate risk preference and use a consumption model to capture the decision maker's risk sensitivity in a multiperiod capacity investment model. We show that, in each period, capacity and consumption decisions can be separately determined. In addition, we characterize the structure of the optimal capacity strategy. When the parameters are stationary, we present certain conditions under which the optimal capacity strategy could be easily characterized by a static two‐sided (s, S) policy, whereby, the capacity is determined only at the beginning of period one, and held constant during the entire planning horizon. It is purchased up to B when the initial capacity is below b, salvaged down to Σ when it is above σ, and remains constant otherwise. Numerical tests are presented to investigate the impact of demand volatility on the optimal capacity strategy. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 218–235, 2016