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.     

2011-2015年大学新生心理健康状况分析---以C大学为例

本文采用《中国大学生心理健康量表》对近五年26473名C大学新生心理健康状况进行调查,结果表明,该校2011-2015新生的心理健康状况在性别、生源地、专业等方面存在显著差异,性别差异:大学新生中男生的心理素质显著高于女生;生源地差异:来自农村地区的新生自卑因子得分显著高于城市新生,整体来看,城市新生心理素质更好;专业差异:该校文史类新生心理健康总体水平显著低于理工类新生.本研究依照以上结论为依据提出了建好一个心理健康咨询中心、加强新生入学教育等相关建议,以期进一步推动大学生的心理健康教育工作的发展,使心理健康教育工作有针对性、计划性地开展下去.     

混杂聚硼硅氮烷的交联过程分析及其工艺优化

合成了混杂聚硼硅氮烷(H-PBSZ)并对其结构进行了分析,分析了其交联过程,并采用不同的工艺使其交联固化,研究了交联压力对产物的结构、形貌以及表观密度的影响。结果表明,H-PBSZ结构中含有B-N、Si-N、B-H、N-H以及Si-H等化学键,随着温度的升高,B-H、N-H以及Si-H键会发生断裂;交联过程中,先驱体会放出大量的气体,交联产物的致密度受气泡大小及其速度的影响;高压交联可以减小所放出的气泡的体积,减缓其上升的速度,并可抑制含氢键的断裂反应,降低气体的放出量,从而制得较高致密度的交联产物。     

凹腔超声速流场结构的试验研究

对超声速冷流情况下凹腔流场特性进行了试验和数值仿真研究,分析了不同构型的凹腔对超声速流场的影响。研究结果表明,在5～9范围内长深比L/D对凹腔流场结构基本没有影响;在30°～60°范围内,凹腔后壁倾角θ不会改变凹腔流场整体结构和特征,但对剪切层的空间发展和凹腔回流区结构有比较大的影响。     

Modeling and solution for the ship stowage planning problem of coils in the steel industry

We consider a ship stowage planning problem where steel coils with known destination ports are to be loaded onto a ship. The coils are to be stowed on the ship in rows. Due to their heavy weight and cylindrical shape, coils can be stowed in at most two levels. Different from stowage problems in previous studies, in this problem there are no fixed positions on the ship for the coils due to their different sizes. At a destination port, if a coil to be unloaded is not at a top position, those blocking it need to be shuffled. In addition, the stability of ship has to be maintained after unloading at each destination port. The objective for the stowage planning problem is to minimize a combination of ship instability throughout the entire voyage, the shuffles needed for unloading at the destination ports, and the dispersion of coils to be unloaded at the same destination port. We formulate the problem as a novel mixed integer linear programming model. Several valid inequalities are derived to help reducing solution time. A tabu search (TS) algorithm is developed for the problem with the initial solution generated using a construction heuristic. To evaluate the proposed TS algorithm, numerical experiments are carried out on problem instances of three different scales by comparing it with a model‐based decomposition heuristic, the classic TS algorithm, the particle swarm optimization algorithm, and the manual method used in practice. The results show that for small problems, the proposed algorithm can generate optimal solutions. For medium and large practical problems, the proposed algorithm outperforms other methods. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 564–581, 2015     

基于主成分的改进马氏距离TOPSIS方法

针对指标变量线性相关,导致变量协方差矩阵行列式(广义样本方差)为零无法应用马氏距离的情况,采用主成分分析法对指标变量进行线性组合,在不减少信息量的同时,得到少数几个不相关的主成分,由主成分构成的协方差矩阵行列式不再为零。依据降维后的主成分变量,采用基于马氏距离的逼近理想解法对五种预警机探测引导能力进行了排序,经检验其结果与实际情况相符。     

基于储备模式选择的战备物资分类研究

对战备物资进行分类是选择储备模式的基础和重要前提。把战备物资分类问题抽象为战备物资的军事性和经济性评价问题,设计了物资分类评价指标体系,并对部分指标进行了说明;利用层次分析法确定各指标的权重,运用专家打分法完成指标打分,并对专家打分程序进行优化,增强战备物资分类的可操作性,由军事性和经济性两方面的得分确定战备物资所属类别;最后通过算例证明了分类方法的有效性。     

RGB-D传感器的标定实验分析

分析了RGB-D传感器的标定模型及标定方法,利用标定棋盘和Matlab工具箱对RGB-D传感器进行了标定。采用摄像机标定方法计算了彩色摄像机和深度摄像机的初始化参数,根据标定棋盘和标定板的共面关系计算了相对位姿的初始估计值,并采用非线性最小化方法对标定参数进行了优化。实验结果表明:标定后的彩色图像和深度图像的重投影误差较小,深度测量不确定性标准差比标定前约减小了1/2,有效地提高了RGB-D传感器的测量精度。     

谈沟渠坍塌救援中的支撑技术应用

在沟渠坍塌救援中,为了防止沟渠的二次坍塌,救援人员必须在沟渠边缘建立一个安全的工作环境,并对沟渠进行紧急支撑。强调沟渠救援中的人身安全及注意事项,阐述与紧急支撑相关的基本原则以及紧急支撑在实际应用中所需的综合知识。     

基于量子双向RRT算法的多平台反舰导弹协同航路规划

针对反舰导弹航路规划面临的动态威胁环境和多平台协同打击问题,提出了一种基于量子双向RRT算法的反舰导弹协同航路规划方法。采用动态坐标设置动态威胁,实时地避开动态威胁;通过取预规划终点方法,实现对目标的时间和空间协同打击;结合量子进化思想,将RRT算法中的扩展方向量子化表示,提出了一种量子双向RRT算法,并应用于航路规划。仿真结果表明,该方法可有效规避动态威胁和解决多平台反舰导弹航路规划的协同问题,并显著地改善了RRT算法的全局收敛性,得到了航程更短的航路。