Minimal LST representations of MAP(n)s: Moment fittings and queueing approximations

A Markovian arrival process of order n, MAP(n), is typically described by two n × n transition rate matrices in terms of rate parameters. While it is straightforward and intuitive, the Markovian representation is redundant since the minimal number of parameters is n² for non‐redundant MAP(n). It is well known that the redundancy complicates exact moment fittings. In this article, we present a minimal and unique Laplace‐Stieltjes transform (LST) representations for MAP(n)s. Even though the LST coefficients vector itself is not a minimal representation, we show that the joint LST of stationary intervals can be represented with the minimum number of parameters. We also propose another minimal representation for MAP(3)s based on coefficients of the characteristic polynomial equations of the two transition rate matrices. An exact moment fitting procedure is presented for MAP(3)s based on two proposed minimal representations. We also discuss how MAP(3)/G/1 departure process can be approximated as a MAP(3). A simple tandem queueing network example is presented to show that the MAP(3) performs better than the MAP(2) in queueing approximations especially under moderate traffic intensities. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 549–561, 2016     

基于shearlet与PCNN的多聚焦图像融合方法

针对传统脉冲耦合神经网络(PCNN)模型在多聚焦图像融合领域应用中面临的参数繁杂等问题,提出一种基于剪切波(shearlet)变换与改进型PCNN的多聚焦图像融合方法。相比以往的变换域方法,shearlet具有理想的图像信息捕捉性能以及较低的计算复杂度,因此,可利用shearlet将待融合图像进行多尺度多方向分解。其次,对经典PCNN模型加以改进,综合运用清晰度水平以及协调矩阵完成低频子带图像以及一系列高频子带图像的融合过程。最后,运行shearlet反变换得到最终融合图像。仿真实验选取了若干组待融合图像进行仿真,验证了该方法在主、客观评价两方面的优越性。     

基于能量分级和位置预测的高效路由算法

针对车载传感器网络节点移动速度快、网络拓扑结构不稳定、终端传感器节点能量不确定性等特点,提出了一种能量分级和位置预测的高效路由算法ERLP(Energy Rank and Location Prediction based routing)。该算法根据具有不同能量等级的节点将消息传递距离的不同选择那些能量高的节点作为中转节点,并结合节点的分布区域和当前速度,尽量将多个消息副本传递给覆盖不同方向的节点,避免消息传递的局部性。仿真结果表明,与当前典型延迟容忍网络的路由算法相比,ERLP算法在传输成功率、平均延迟时间上具有较大提升。     

基于语义的AdHoc网络服务发现

在分析现有的Ad Hoc网络服务发现方法的基础上,提出一种基于语义的Ad Hoc网络服务发现方法。该方法基于语义推理机制,能对服务进行准确地刻画,大大提高了查准率;又由于该方法在考虑服务本身的同时,还考虑了服务的节点属性和节点所处的环境属性,可以有效地改善服务质量。仿真结果表明,与同类的Ad Hoc网络服务发现方法相比,该方法在查准率方面具有较大的优越性。     

Stochastic call center staffing with uncertain arrival,service and abandonment rates: A Bayesian perspective

In this article, we introduce staffing strategies for the Erlang‐A queuing system in call center operations with uncertain arrival, service, and abandonment rates. In doing so, we model the system rates using gamma distributions that create randomness in operating characteristics used in the optimization formulation. We divide the day into discrete time intervals where a simulation based stochastic programming method is used to determine staffing levels. More specifically, we develop a model to select the optimal number of agents required for a given time interval by minimizing an expected cost function, which consists of agent and abandonment (opportunity) costs, while considering the service quality requirements such as the delay probability. The objective function as well as the constraints in our formulation are random variables. The novelty of our approach is to introduce a solution method for the staffing of an operation where all three system rates (arrival, service, and abandonment) are random variables. We illustrate the use of the proposed model using both real and simulated call center data. In addition, we provide solution comparisons across different formulations, consider a dynamic extension, and discuss sensitivity implications of changing constraint upper bounds as well as prior hyper‐parameters. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 460–478, 2016     

基于高斯和粒子滤波的AUV水下地形辅助导航方法

针对自主式水下无人航行器(AUV)长时间潜航时的精确导航定位需求,以多波束测深系统为水下地形测量设备,提出一种基于贝叶斯估计的AUV水下地形匹配导航模型。针对贝叶斯滤波后验概率密度函数的求解问题,用高斯混合密度函数近似状态的后验概率密度函数,提出了基于高斯和粒子滤波的水下地形匹配导航方法。基于多波束测深数据的回放式仿真试验表明,提出的方法可以有效近似地形匹配的贝叶斯滤波模型,具有良好的实用性。     

基于最大后验风险的多层Bayes方法

为了对指数型产品进行可靠性鉴定,首先给出了失效率的多层先验分布,然后从最大后验风险的角度,运用Bayes方法,制定出可靠性鉴定试验方案.按照此鉴定试验方案,缩短了试验时间,从而降低了鉴定试验所需的费用.     

协同空战指挥控制系统智能体模型研究

建立了由多个智能体(Multi-AgentSystem)组成的多机协同空战指挥控制系统的总体结构模型及基于信念、期望、意图(BDI)结构的单个智能体的结构模型,并针对多机协同空战指挥控制的特点,对基于BDI框架的智能体结构、智能体的内部行为、触发事件和结合作战效能的BDI解释器等形式化建模问题进行了研究。最后,指出需完成的后续工作以及相关技术问题。     

发动机传感器数据证实的贝叶斯信度网络方法

针对发动机及其部件试验传感器数据证实的多源证据融合问题,描述了建立贝叶斯信度网络的方法,给出了传感器状态和检验关系式不确定性信息表达方法,发展了自动建立贝叶斯信度网络、计算可信度概率及更新网络的算法;给出了贝叶斯信度网络方法在模型发动机上的应用示例。     

飞机结构疲劳可靠度贝叶斯组合预测

在实际工程中,常常需要利用模型去描述和分析问题。然而模型亦存在不确定性,即可能存在多个描述同一现象的模型,例如多个疲劳分析的模型。针对飞机结构的疲劳可靠性问题,提出在考虑三种裂纹扩展模型下基于贝叶斯公式的疲劳可靠度组合预测方法。针对不同应力水平下飞机结构试件的裂纹扩展数据建立了三种随机裂纹扩展模型;在考虑模型参数不确定性条件下,采用贝叶斯模型平均方法对三种模型进行组合;基于组合模型分析结构的可靠度。所提方法在分析飞机结构疲劳可靠度上,采用了组合模型,能够最大限度保障结果的稳定性。此外,考虑了模型参数的不确定性,能够得到更为合理的裂纹扩展预测分布和可靠度预测值。给出的实例及分析结果表明所提方法可行。