适用于北斗混合星座的相对定位随机模型建模策略

为提高模糊度解算成功率和基线解精度,提出适用于北斗的相对定位随机模型建模策略,即混合随机建模策略。采用最小二乘方差分量估计方法对北斗单差观测量方差进行估计。对处于不同高度的三轨道卫星观测量方差分别建模:对地球静止轨道卫星观测量方差采用载噪比模型建模,对倾斜地球同步轨道卫星和中地球轨道卫星观测量方差均采用仰角模型建模。根据不同模型实时组建观测量的随机模型。试验结果表明:相比于采用传统简化模型和单一的仰角或载噪比模型,混合随机模型能更加真实地反映不同卫星观测量的随机噪声特性,模糊度解算成功率和相对定位精度均有提高,总体性能最优,因而能更好地适用于北斗系统。     

Warranty claims modeling

A company wishes to estimate or predict its financial exposure in a reporting period of length T (typically one quarter) because of warranty claims. We propose a fairly general random measure model which allows computation of the Laplace transform of the total claim made against the company in the reporting interval due to warranty claims. When specialized to a Poisson process of both sales and warranty claims, statistical estimation of relevant quantities is possible. The methodology is illustrated by analyzing automobile sales and warranty claims data from a large car manufacturer for a single car model and model year. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

Application of Markov renewal theory and semi-Markov decision processes in maintenance modeling and optimization of multi-unit systems

In this paper, a condition-based maintenance model for a multi-unit production system is proposed and analyzed using Markov renewal theory. The units of the system are subject to gradual deterioration, and the gradual deterioration process of each unit is described by a three-state continuous time homogeneous Markov chain with two working states and a failure state. The production rate of the system is influenced by the deterioration process and the demand is constant. The states of the units are observable through regular inspections and the decision to perform maintenance depends on the number of units in each state. The objective is to obtain the steady-state characteristics and the formula for the long-run average cost for the controlled system. The optimal policy is obtained using a dynamic programming algorithm. The result is validated using a semi-Markov decision process formulation and the policy iteration algorithm. Moreover, an analytical expression is obtained for the calculation of the mean time to initiate maintenance using the first passage time theory.     

空中机动目标刚体运动建模方法

传统目标跟踪和识别算法通常建立在目标质点运动模型的基础上,其实现过程相对简单,但也存在精度不高的缺点.随着现代雷达、目标跟踪/识别技术的发展,以及各种高精度目标测量传感器的运用,建立更精确的刚体运动模型已成为一种必然需要.概述了国内外在空中机动目标刚体运动建模这一领域的研究现状,并详细介绍了当前常用的几种空中机动目标刚体运动建模方法,最后,根据分析总结了当前这些建模方法存在的缺陷,并指出了其可能的研究方向.     

海面空-空无线信道特征

针对海上远距通信场景,基于无人机之间的无线通信链路,对接收功率进行实际测量。在大尺度路径损耗方面,采用对数距离线性模型进行拟合,分析海上远距空-空无线信道特征,获取路径损耗指数,并采用射线跟踪方法进行仿真验证,通过仿真所得信道冲激响应在多径时延和功率方面分析产生接收功率快速变化的原因。分析结果表明,近岸的多径反射会造成接收功率的波动,并且会造成路径损耗的升高。利用三种分布函数对测量数据进行分布拟合,分析海面和近岸两种通信条件下空-空无线信道的小尺度分布特征。测量分析结果表明,小尺度特征受陆地反射影响明显,在距离陆地较远的海面呈现高斯分布特征,而在近陆地处未呈现典型分布特征。     

基于Petri网的防空作战过程建模

赋时着色Petri网(TCPN)是在CPN基础发展起来的图形化描述工具,适用于带有时间特性系统的性能评价与仿真。将TCPN加以改进,增加测试弧,时间特性反映在变迁上,且允许时间与标记值可按复杂的函数变化,使Petri网可同时描述离散的状态和连续的变化,由此提出了适于防空作战过程建模的面向仿真的TCPN,并对其在一个小型的防空对抗作战过程的有关作战单元建模中的应用进行了探讨。     

基于SPN有限等待差错服务的火力单元排队模型

给出了一般排队模型的SPN描述,分析了防空火力单元的实际作战过程,在已有的火力单元的模型基础上,提出了有限等待差错服务的排队模型,详细分析了排队模型的运行机制,包括顾客有限等待、优先级的排队等,最后运用SPN理论对应的联系谓词公式和随机开关对模型进行了强有力的描述。是构建防空战役层面大型排队网络模型的基础。     

材料随机梁的有限元分析

提出一种以柔度为基础的具有随机刚度弯曲梁的有限元公式。在计算过程中 ,用与刚度均值有关的内力近似表示未知内力值。通过蒙特卡罗模拟可示出刚度的一维可靠性密度函数和相关函数 ,可用来估算柔度的均值和协方差函数。最后根据新的公式计算出随机梁的均值和协方差。     

基于运动状态和敌我属性的空中目标融合识别

研究了基于实时跟踪器的空中目标航迹身份识别问题。从分析目标运动状态和敌我属性的不确定性出发 ,建立了空中目标身份统计模型 ;根据建立的模型 ,通过采用Dempster Shafer证据理论方法 ,对空中目标进行融合识别。仿真实验结果证明了模型和算法的有效性。     

Deterministic inventory lot‐size models under inflation with shortages and deterioration for fluctuating demand

In this paper, we extend the inventory lot‐size models to allow for inflation and fluctuating demand (which is more general than constant, increasing, decreasing, and log‐concave demand patterns). We prove that the optimal replenishment schedule not only exists but is also unique. Furthermore, we show that the total cost associated with the inventory system is a convex function of the number of replenishments. Hence, the search for the optimal number of replenishments is simplified to finding a local minimum. Finally, several numerical examples are provided to illustrate the results. © 2001 John Wiley & Sons, Inc. Naval Research Logistics 48: 144–158, 2001