对大学文科数学课程体验式教学的认识与实践

本文结合具体的教学实例从把握难度、注重体验，巧妙设疑、精心引导以及广泛联想、实际应用等三方面，对文科高等数学体验式教学的实践做了一定的探讨。     

分组坐标轮换法与机械优化设计

minimax 问题是工程优化设计中普遍存在的问题。本文首次采用分组坐标轮换法求解该问题,通过分析获得了该算法收敛的充分条件(如果收敛,还可计算最大轮换次数)。一些数值计算验证了文中的结论,本文还把该算法用于四连杆实现函数机构的优化设计.     

Callable products for an implicit time model with dependent demands

Capacity providers such as airlines and hotels have traditionally increased revenues by practicing market segmentation and revenue management, enabling them to sell the same capacity pool to different consumers at different prices. Callable products can enhance profits and improve consumers' welfare by allowing the firm to broker capacity between consumers with different willingness to pay. A consumer who buys a callable product gives the capacity provider the right to recall capacity at a prespecified recall price. This article studies callable products in the context of the model most commonly used in industry, which handles time implicitly imposing fewer restrictions on the nature of randomness compared to the Poisson arrival process favored in academia. In the implicit time model, capacity providers set booking limits to protect capacity for future high-fare demand. Our numerical study identifies conditions where callable products result in significant gains in profits.     

激波诱导惰性堆积粉尘运动的建模及数值模拟

基于空间平均的双流体模型 ,引入描述颗粒脉动速度的粒化温度 ,建立颗粒相的本构方程 ,将粒化温度模型推广到解决高速流动问题。采用AUSM+ 有限差分法 ,数值模拟激波在一定厚度的惰性粉尘床中传播及诱导粉尘颗粒运动的过程。结果表明 ,粒化温度模型较好地描述了这一过程 ,证实了此模型在处理稠密颗粒高速流动和流场存在强间断中的可行性     

Performance analysis of queue length monitoring of M/G/1 systems

This study investigates the statistical process control application for monitoring queue length data in M/G/1 systems. Specifically, we studied the average run length (ARL) characteristics of two different control charts for detecting changes in system utilization. First, the nL chart monitors the sums of successive queue length samples by subgrouping individual observations with sample size n. Next is the individual chart with a warning zone whose control scheme is specified by two pairs of parameters, (upper control limit, d_u) and (lower control limit, d_l), as proposed by Bhat and Rao (Oper Res 20 (1972) 955–966). We will present approaches to calculate ARL for the two types of control charts using the Markov chain formulation and also investigate the effects of parameters of the control charts to provide useful design guidelines for better performance. Extensive numerical results are included for illustration. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

雷达实际平面探测威力模型与仿真算法研究

在考虑地物遮蔽的情况下,建立了3种程式雷达实际平面探测威力的数学模型,并对参数获取、盲区估算等问题进行了讨论。给出了一种基于DEM数据的雷达实际平面探测威力实用算法,实现了雷达在任意高度层的实际平面探测威力的自动仿真生成。应用表明,雷达实际平面探测威力图绘制的精度和效率较传统方法有较大提高。     

协同制造系统的可靠性分析

协同制造作为一种先进制造模式,逐渐成为研究的热点。而系统的可靠性是协同制造系统成功实施的关键因素之一。从协同制造系统的自身特点出发,阐述了进行协同制造系统可靠性研究的必要性和紧迫性。并给出了协同制造系统可靠性分析的框架模型,认为协同制造系统可靠性应该从人、工作流系统和设备硬件等几个方面进行综合研究,并对各部分的可靠性研究进行了概述。     

Effects of lethality in naval combat models

In the context of both discrete time salvo models and continuous time Lanchester models we examine the effect on naval combat of lethality: that is, the relative balance between the offensive and defensive attributes of the units involved. We define three distinct levels of lethality and describe the distinguishing features of combat for each level. We discuss the implications of these characteristics for naval decision‐makers; in particular, we show that the usefulness of the intuitive concept “more is better” varies greatly depending on the lethality level. © 2003 Wiley Periodicals, Inc. Naval Research Logistics, 2004.     

A unified model incorporating yield,burn‐in,and reliability

The correlated improvement in yield and reliability has been observed in the case studies on integrated circuits and electronic assemblies. This paper presents a model that incorporates yield and reliability with the addition of a burn‐in step to explain their correlated improvement. The proposed model includes as special cases several yield and reliability models that have been previously published and thus provides a unifying framework. The model is used to derive a condition for which yield functions can be multiplied to obtain the overall yield. Yield and reliability are compared as a function of operation time, and an analytical condition for burn‐in to be effective is also obtained. Finally, Poisson and negative binomial defects models are further considered to investigate how reliability is based on yield. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004.