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.     

Aggregating courier deliveries

We consider the problem of efficiently scheduling deliveries by an uncapacitated courier from a central location under online arrivals. We consider both adversary‐controlled and Poisson arrival processes. In the adversarial setting we provide a randomized (3βΔ/2δ ? 1) ‐competitive algorithm, where β is the approximation ratio of the traveling salesman problem, δ is the minimum distance between the central location and any customer, and Δ is the length of the optimal traveling salesman tour overall customer locations and the central location. We provide instances showing that this analysis is tight. We also prove a 1 + 0.271Δ/δ lower‐bound on the competitive ratio of any algorithm in this setting. In the Poisson setting, we relax our assumption of deterministic travel times by assuming that travel times are distributed with a mean equal to the excursion length. We prove that optimal policies in this setting follow a threshold structure and describe this structure. For the half‐line metric space we bound the performance of the randomized algorithm in the Poisson setting, and show through numerical experiments that the performance of the algorithm is often much better than this bound.     

近程反导舰炮武器系统“综合体”的可靠性—效能评估模型

本文对典型的近程反导舰炮武器系统做了任务状态划分和可靠性分析,建立了系统执行任务过程中的可靠性—效能评估模型。     

光电头盔系统信号处理分析与探讨

阐述了当前广泛采用的光电式头盔测位系统的组成和原理,给出了解算瞄准线参数的数学关系式。对信号处理和精度进行了分析,导出了误差表达式,可用于系统设计中误差的估算和验证。通过信号处理分析,论述了影响精度的主要因素,最后,提出了从根本上提高精度的方法——峰值点检测处理技术。     

基于熵权理想解法的炮兵C4ISR系统效能评估

炮兵C4ISR系统的效能评估是我军信息化联合作战效能评估的重要研究内容.依据系统效能评估的需要,结合我军炮兵C4ISR系统的实际情况,提出了确立评价指标的3个重要原则,建立了炮兵C4ISR系统效能评价的指标体系,讨论了熵权理想解法的基本思想和主要步骤,并给出了炮兵指挥系统的评估案例.通过MATLAB编程实现,得到了各评价系统的优劣,速度快,精度高,弱化了主观因素,使得评价更令人信服,以便指导部队的日常训练和考核.     

基于SD方法的作战指挥决策系统效能分析模型

指挥决策系统是一个非线性的复杂系统,用一般的解析方法难以对其进行效能评估。在分析指挥决策系统构成的基础上,根据指挥决策的4个要素,建立了指挥决策系统的评估指标体系;综合考虑战术和技术指标,从指挥员影响度,指挥机关影响度,指挥信息系统影响度和决策信息影响度4个方面建立了指挥决策系统效能分析模型,前两项指标可以采用层次分析法等方法确定其效能值,后两项指标利用系统动力学方法,结合实际作战的具体战术指标建模,实现了效能值的动态评估分析。     

对学员读书情况的调查与分析

对武警院校学员读书情况进行问卷调查,初步掌握学员对读书的认知程度以及存在的问题并提出相关建议。     

覆土油罐护体的动力模型建立与抗震性能分析

覆土油罐储油是世界各国石油战略储备的重要方式之一,如何提高其抗震性能是构建覆土油罐的重要内容。针对覆土油罐罐室与护体结构的特点,在前人对地下结构抗震研究的基础上,建立围墙与周围回填土层的简化动力模型,运用相互作用法,给出围墙与周围回填土层在横向地震作用下的动力方程,借助Matlab数值分析软件,讨论了结构频率比、刚度比、阻尼比、阻尼率比、质量比对结构位移放大系数的影响,分析所得结论对覆土油罐的构筑施工有一定的参考价值。     

电力系统电压稳定分析方法及应用

介绍了电力系统电压稳定性的概念及其分类,对电压稳定性的静、动态分析方法进行了介绍和比较,最后综合运用连续潮流法、模态分析法、分岔理论以及时域仿真法对WSCC9节点系统进行了电压稳定性分析,结果表明综合方法能充分利用各种方法的优点,分析的结果是有效可靠的。     

相关系数及其应用

在相关分析中,通常利用相关系数来分析或测定变量之间的线性相关程度。相关系数是描述两个变量或随机变量之间的线性相关程度的指标。相关系数的计算与分析是科学研究中常用的一种简单分析方法,根据相关系数可以对不同事物进行简单的聚类分析等。从相关系数的概念入手,给出相关系数的计算公式,列举了相关系数的应用。