A spatial rank‐based multivariate EWMA control chart

Nonparametric control charts are useful in statistical process control when there is a lack of or limited knowledge about the underlying process distribution, especially when the process measurement is multivariate. This article develops a new multivariate self‐starting methodology for monitoring location parameters. It is based on adapting the multivariate spatial rank to on‐line sequential monitoring. The weighted version of the rank‐based test is used to formulate the charting statistic by incorporating the exponentially weighted moving average control scheme. It is robust to non‐normally distributed data, easy to construct, fast to compute and also very efficient in detecting multivariate process shifts, especially small or moderate shifts which occur when the process distribution is heavy‐tailed or skewed. As it avoids the need for a lengthy data‐gathering step before charting and it does not require knowledge of the underlying distribution, the proposed control chart is particularly useful in start‐up or short‐run situations. A real‐data example from white wine production processes shows that it performs quite well. © 2012 Wiley Periodicals, Inc. Naval Research Logistics 59: 91–110, 2012     

基于模糊层次分析法的非致命弹药安全管理系统评价

针对非致命弹药安全管理评估方面的空白,采用模糊层次分析法（FAHP）,从宏观上对非致命弹药安全管理系统进行评价。通过分析影响非致命弹药安全管理水平的因素,建立系统综合评价指标。分别建立不同指标间的模糊一致判断矩阵,确定隶属函数、权重值,最后得出定量评判结果,确定非致命弹药安全管理系统等级,对非致命弹药安全管理提供理论依据。     

航天测控通信系统可靠性分析的Krylov子空间投影算法

基于Markov模型对航天测控通信系统进行可靠性分析的过程中,若系统中测控通信设备数量较多,模型中的状态空间随设备数量呈指数增长,将会导致数值计算困难.提出了一种基于Krylov子空间技术的可靠性分析方法,将大规模问题投影至小规模子空间中,求得问题的近似解.实验结果证明,Krylov子空间方法的计算速度及精度优于Ross方法和前向Euler法(forward Euler method,FEM).     

面向装备健康管理的可测性指标研究

可测性指标是开展可测性设计、验证和评估的依据.针对传统可测性指标主要用于故障可检测性和故障可隔离性水平评价,不能全面反映面向装备健康管理可测性水平的问题,在定性分析装备健康管理对可测性的本质需求基础上,从全域和瞬态角度提出了五个可测性指标以定量描述面向装备健康管理的可测性水平;并基于故障模式状态矢量给出了可测性指标的分析计算流程.最后以某装备柴油机的机体子系统为案例详细说明了可测性指标的计算过程,应用结果表明所提指标具有一定的可行性和合理性,可以有效指导面向装备健康管理的可测性优化设计.     

改进层次分析法在空面多目标攻击排序中的应用

建立了考虑目标的威胁、政治价值和经济价值属性的空面多目标攻击排序综合价值评估指标,应用模糊多属性理论和G.A.Miller九级量化理论对目标综合价值进行量化.建立了机群多目标攻击排序模型,采用熵值法求取各属性的权重从而构造判断矩阵,在此模型的基础上运用改进的层次分析法求解空面多目标攻击排序矩阵,从而为驾驶员的战术决策提供依据.     

关于Chidume结果的推广

在一致光滑的Banach空间,证明了满足不等式‖Tx≤C ‖x‖的一类非线性强增生算子的Mann迭代序列强收敛于Tx=f的唯一解。     

AHP法在舰空导弹作战通道分析中的应用

层次分析法(AHP)是一种简便、灵活而又实用的多准则决策的系统分析方法。运用该分析方法对舰空导弹武器各作战通道的性能进行综合分析,其中在对决策矩阵进行计算时,使用了三种不同的效用函数对方案层的各项指标进行了量化,最后得出了各作战通道的综合价值,此值可为指挥员决策提供参考。计算结果表明该方法用于作战通道评价是切实可行的。     

并行工程中过程重组与团队技术的应用

在分析复杂结构件设计、制造串行工作流程的基础上,给出了重组后的并行工作流程,简要介绍了团队技术的基本思想,描述了过程重组、团队技术在产品开发中的初步应用。提出过程重组和团队技术是改进设计思想和方法的有效方式,是缩短产品开发周期,提高产品设计质量,降低产品成本的重要手段之一。     

多级可修备件库存的生灭过程建模与优化

针对VARI-METRIC模型在低可用度下结果不准确的问题,建立基于生灭过程的任意等级、任意层级可修件库存优化模型。通过对各级站点、各类备件需求率与到达率的预测,对每个部件建立其生灭过程模型,并提出基于生灭过程的装备可用度计算方法。以整个保障系统的装备可用度为约束指标,以备件总购置费最低为目标,利用边际算法得到最优备件配置方案,并建立仿真模型对所得优化方案进行评估与调整。结合算例,以仿真结果作为检验标准,选取权威的VMETRIC软件与该解析模型在优化性能、计算精度及适用性上进行对比和说明。结果表明,无论是解析模型还是VMETRIC软件,均存在一定的适用范围,而采用解析与仿真相结合的方法无疑具有更强的适应性。     

Computational analysis of MMAP[K]/PH[K]/1 queues with a mixed FCFS and LCFS service discipline

This paper studies a queueing system with a Markov arrival process with marked arrivals and PH‐distribution service times for each type of customer. Customers (regardless of their types) are served on a mixed first‐come‐first‐served (FCFS) and last‐come‐first‐served (LCFS) nonpreemptive basis. That is, when the queue length is N (a positive integer) or less, customers are served on an FCFS basis; otherwise, customers are served on an LCFS basis. The focus is on the stationary distribution of queue strings, busy periods, and waiting times of individual types of customers. A computational approach is developed for computing the stationary distribution of queue strings, the mean of busy period, and the means and variances of waiting times. The relationship between these performance measures and the threshold number N is analyzed in depth numerically. It is found that the variance of the virtual (actual) waiting time of an arbitrary customer can be reduced by increasing N. © 2000 John Wiley & Sons, Inc. Naval Research Logistics 47: 399–421, 2000