多尺度方法在强非线性系统中应用的一个注释

多尺度法在求解非线性系统时，目前所得到的结果多集中在弱非线性系统上。论文对多尺度法进行了改进。对强非线性杜芬系统进行了变换，得到了强非线性杜芬系统存在3个解的结论，其中大的和小的是稳定的，中间的是不稳定的，物理上实现哪个稳定运动取决于初始条件。     

Determination of burn‐in parameters and residual life for highly reliable products

Today, many products are designed and manufactured to function for a long period of time before they fail. Determining product reliability is a great challenge to manufacturers of highly reliable products with only a relatively short period of time available for internal life testing. In particular, it may be difficult to determine optimal burn‐in parameters and characterize the residual life distribution. A promising alternative is to use data on a quality characteristic (QC) whose degradation over time can be related to product failure. Typically, product failure corresponds to the first passage time of the degradation path beyond a critical value. If degradation paths can be modeled properly, one can predict failure time and determine the life distribution without actually observing failures. In this paper, we first use a Wiener process to describe the continuous degradation path of the quality characteristic of the product. A Wiener process allows nonconstant variance and nonzero correlation among data collected at different time points. We propose a decision rule for classifying a unit as normal or weak, and give an economic model for determining the optimal termination time and other parameters of a burn‐in test. Next, we propose a method for assessing the product's lifetime distribution of the passed units. The proposed methodologies are all based only on the product's initial observed degradation data. Finally, an example of an electronic product, namely contact image scanner (CIS), is used to illustrate the proposed procedure. © 2002 Wiley Periodicals, Inc. Naval Research Logistics, 2003     

Supply chain coordination with shelf‐space and retail price dependent demand and heterogeneous retailers

We consider supply chain coordination in which a manufacturer supplies some product to multiple heterogeneous retailers and wishes to coordinate the supply chain via wholesale price and holding cost subsidy. The retail price is either exogenous or endogenous. The market demand is described by the market share attraction model based on all retailers'shelf‐spaces and retail prices. We obtain optimal solutions for the centralized supply chain, where the optimal retail pricing is a modified version of the well‐known cost plus pricing strategy. We further get feasible contracts for the manufacturer to coordinate the hybrid and decentralized supply chains. The manufacturer can allocate the total profit free to himself and the retail market via the wholesale price when the retail price is exogenous, but otherwise he cannot. Finally, we point out that different characteristics of the retail market are due to different powers of the manufacturer, and the more power the manufacturer has, the simpler the contract to coordinate the chain will be. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

一种无人战斗机系统使用保障费用分析方法

基于无人战斗机系统在使用保障上的特点,通过对有人战斗机使用保障费用模型进行合理改造,使其能适用于无人战斗机的使用保障费用分析。经过改造的模型具有结构清晰、概念明确的特点。适合在飞机总体设计阶段用于全寿命周期的费用估算以及飞机的费效分析和综合优化设计。通过与有人战斗机的使用保障费用进行对比计算表明,无人战斗机系统的使用保障费用具有明显的经济优势。     

多传感器组合导航系统评述

介绍了组合导航系统的重要性、发展现状和发展趋势。根据导航与目标跟踪的区别与联系,从多传感器组合导航系统研究的角度出发,在概念理解、模型建立和系统结构等方面做了详细的评述,提出了多传感器导航信息融合系统的功能模型,分析了位置融合级的结构模型。     

A model for step‐stress accelerated life testing

Modern technology is producing high reliability products. Life testing for such products under normal use condition takes a lot of time to obtain a reasonable number of failures. In this situation a step‐stress procedure is preferred for accelerated life testing. In this paper we assume a Weibull and Lognormal model whose scale parameter depends upon the present level as well as the age at the entry in the present stress level. On the basis of that we propose a parametric model to the life distribution for step‐stress testing and suggest a suitable design to estimate the parameters involved in the model. A simulation study has been done by the proposed model based on maximum likelihood estimation. © 2003 Wiley Periodicals, Inc. Naval Research Logistics, 2003     

论消防工作与政府投入的数学原理

近年来,政府对消防投入水平较低。通过建立数学模型,从消防部门与政府的相互关系进行理论论证,抛砖引玉,提出消防工作的建议。     

空间救援发射窗口分析

从发射窗口的基本特性出发,推导了空间救援任务发射窗口的解析求解方法.将空间救援发射窗口问题分解为平面窗口问题和相位窗口问题,分别建立了平面窗口与相位窗口的解析求解模型,最后获得了发射窗口解析解.用直观曲线描述了同一经度的不同纬度所有发射点对应的发射窗口,为空间救援任务发射窗口的分析和快速计算提供了基础.     

一种高效的显式模型检验方法

随着软硬件系统规模和功能的不断扩充,状态空间爆炸问题严重影响了模型检验的进一步发展与应用,成为验证大规模系统的瓶颈.在显式模型检验工具Murphi的基础上,针对其可达状态空间组织存在的问题进行改进,提出了基于整型指针与Fibonacci散列的可达状态空间组织方法,实现了一个高效的显式模型检验原型系统,在确保验证正确的同时有效缩短了验证时间,并能在系统规范不可满足的情况下给出反例,有助于系统设计人员快速定位错误.理论分析和实验结果表明了本方法的有效性.     

捷联惯导系统快速自对准误差模型的建立

通过对惯性制导系统两个基本方程的研究,求出了各状态矢量在各坐标系下的微分方程,然后以ψ角法所确立的平台为基准,分别推导得出惯性制导系统各主要状态的微分方程,从而建立了捷联惯性制导系统的误差模型.最后根据静基座捷联惯导系统初始对准的特点对其进行简化,得到了静基座捷联惯导系统快速自对准的误差模型.