具有时滞和扩散的动力系统的全局稳定性

研究一类具有时滞和扩散的非自治Ⅲ类功能性反应系统,给出了系统一致持久和全局渐近稳定的充分条件。     

m 序列的完备递归采样法

本文提出了m 序列递归采样的概念,研究并解决了素数周期m 序列的完备递归采样,对周期为合数的情况得到了一些有用的结论。     

统计抽样方法在外语单词测验中的应用

本文通过分析一般工业产品计数抽样检验方法与外语单词专项测验的特点,发现二者本质相同。利用统计抽样方法不仅可以获得随机样本(试卷),排除某些主观干扰,同时还可以对受试方和考核方风险率进行评价和选择(按四个分级标准,给出了风险率不同的六组测验方案)。此法已为《大学英语词汇系统软件》采用.     

m 序列完备递归采样值的存在条件

本文用群论方法讨论了n级m序列完备递归采样值的存在条件,证明了对任意n级m序列,其完备递归采样值存在的充要条件是商群G=Z_p~*/H(其中p=2~n—1,Z_p~*={s|(s,p)=1},H={1,2,2~2,…,2~(n-1))为循环群。在完备递归采样值存在的条件下,求出了完备递归采样值的个数为n.φ(φ(2~n—1)/n)。最后给出了递归采样值的一个重要性质。     

GJB179-86方案自动生成的方法和技术

GJB179-86方案生成系统,涉及GJB179-86中17个表,近25万个基础数据,为尽量节省内存空间,提高程序运行速度,保证软件科学准确、实用方便,笔者在程序设计时,采用了数学公式化处理技术,本文还介绍了“曲线拟合”方法在方案检索程序中的应用,以及有关数表的处理技术。     

宽频带瞬态信号测试方法及应用

本文在分析高速数据采集电路的基础上,采用单片机技术,设计了一种通用性能好、分析频带宽的瞬态信号测试系统。该系统成功地解决了采样速度和频率分辩率的矛盾,提供了一种解决瞬态波形测量的有效方法。     

舰炮故障诊断中的变速自动采集系统

本文论述一种利用 MZ—80B 微型计算机实现多采样速率的数据自动采集系统,方案设计新颖,软件设计灵活,具有较好的实时性和通用性,对于舰炮武器系统及类似的火炮系统的实时故障诊断具有一定的实用价值.     

Allocation with demand competition: Uniform,proportional, and lexicographic mechanisms

We examine capacity allocation mechanisms in a supply chain comprising a monopolistic supplier and two competing retailers with asymmetric market powers. The supplier allocates limited capacity to retailers according to uniform, proportional, or lexicographic mechanism. We study the impact of these allocation mechanisms on supplier pricing decisions and retailer ordering behavior. With individual order size no greater than supplier capacity, we show that all three mechanisms guarantee equilibrium ordering. We provide precise structures of retailer ordering decisions in Nash and dominant equilibria. Further, we compare the mechanisms from the perspective of the supplier, the retailers, and the supply chain. We show that regardless of whether retailer market powers are symmetric, lexicographic allocation with any priority sequence of retailers is better than the other two mechanisms for the supplier. Further, under lexicographic allocation, the supplier gains more profit by granting higher priority to the retailer with greater market power. We also extend our study to the case with multiple retailers. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 85–107, 2017     

Combined variance reduction techniques in fully sequential selection procedures

In the past several decades, many ranking‐and‐selection (R&S) procedures have been developed to select the best simulated system with the largest (or smallest) mean performance measure from a finite number of alternatives. A major issue to address in these R&S problems is to balance the trade‐off between the effectiveness (ie, making a correct selection with a high probability) and the efficiency (ie, using a small total number of observations). In this paper, we take a frequentist's point of view by setting a predetermined probability of correct selection while trying to reduce the total sample size, that is, to improve the efficiency but also maintain the effectiveness. In particular, in order to achieve this goal, we investigate combining various variance reduction techniques into the fully sequential framework, resulting in different R&S procedures with either finite‐time or asymptotic statistical validity. Extensive numerical experiments show great improvement in the efficiency of our proposed procedures as compared with several existing procedures.     

Augmented nested sampling for stochastic programs with recourse and endogenous uncertainty

We propose a novel simulation‐based approach for solving two‐stage stochastic programs with recourse and endogenous (decision dependent) uncertainty. The proposed augmented nested sampling approach recasts the stochastic optimization problem as a simulation problem by treating the decision variables as random. The optimal decision is obtained via the mode of the augmented probability model. We illustrate our methodology on a newsvendor problem with stock‐dependent uncertain demand both in single and multi‐item (news‐stand) cases. We provide performance comparisons with Markov chain Monte Carlo and traditional Monte Carlo simulation‐based optimization schemes. Finally, we conclude with directions for future research.