防空通信系统性能评价及抗毁性分析

分析了防空通信系统的组织结构和对抗特点,利用性能评价过程代数描述防空通信系统的状态演化,提出一种防空通信系统抗毁特性分析方法。通过具体案例,对通信系统的组织结构、抗击软硬杀伤的能力进行建模和仿真验证。实验结果表明,该方法适用于防空通信系统的建模与分析,能够实现对防空通信系统的结构进行对抗过程的建模;通信系统的不同要素对抗毁性能的影响不同,可以采取有效策略以提高防空通信系统的抗毁能力。     

基于创新人才培养的高等代数教学改革探析

高等代数作为高师院校数学与应用专业学生的一门专业基础课,它对于训练学生的数学思维、培养学生的数学素养具有重要作用。文章结合当前高等代数教学中存在的一些问题,基于创新人才的培养,具体从培养学生学习兴趣、培养学生问题意识、培养学生的数学基础能力以及创新能力、加强高等代数与解析几何、近世代数课程的联系、倡导学生学习评价的多元化等多个方面进行了高等代数课程教学改革的探索。     

Choosing arrival process models for service systems: Tests of a nonhomogeneous Poisson process

Service systems such as call centers and hospital emergency rooms typically have strongly time‐varying arrival rates. Thus, a nonhomogeneous Poisson process (NHPP) is a natural model for the arrival process in a queueing model for performance analysis. Nevertheless, it is important to perform statistical tests with service system data to confirm that an NHPP is actually appropriate, as emphasized by Brown et al. [8]. They suggested a specific statistical test based on the Kolmogorov–Smirnov (KS) statistic after exploiting the conditional‐uniform (CU) property to transform the NHPP into a sequence of i.i.d. random variables uniformly distributed on [0,1] and then performing a logarithmic transformation of the data. We investigate why it is important to perform the final data transformation and consider what form it should take. We conduct extensive simulation experiments to study the power of these alternative statistical tests. We conclude that the general approach of Brown et al. [8] is excellent, but that an alternative data transformation proposed by Lewis [22], drawing upon Durbin [10], produces a test of an NHPP test with consistently greater power. We also conclude that the KS test after the CU transformation, without any additional data transformation, tends to be best to test against alternative hypotheses that primarily differ from an NHPP only through stochastic and time dependence. © 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 66–90, 2014     

Flow shop scheduling with earliness,tardiness, and intermediate inventory holding costs

We consider the problem of scheduling customer orders in a flow shop with the objective of minimizing the sum of tardiness, earliness (finished goods inventory holding), and intermediate (work‐in‐process) inventory holding costs. We formulate this problem as an integer program, and based on approximate solutions to two different, but closely related, Dantzig‐Wolfe reformulations, we develop heuristics to minimize the total cost. We exploit the duality between Dantzig‐Wolfe reformulation and Lagrangian relaxation to enhance our heuristics. This combined approach enables us to develop two different lower bounds on the optimal integer solution, together with intuitive approaches for obtaining near‐optimal feasible integer solutions. To the best of our knowledge, this is the first paper that applies column generation to a scheduling problem with different types of strongly ????‐hard pricing problems which are solved heuristically. The computational study demonstrates that our algorithms have a significant speed advantage over alternate methods, yield good lower bounds, and generate near‐optimal feasible integer solutions for problem instances with many machines and a realistically large number of jobs. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004.     

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.     

关于半鞅向量随机积分的两个结果

首先利用半鞅Girsanov定理与闭图像定理证明了:若{Xn}是带滤基的完备概率空间(Ω,F,F,P)中的一列半鞅,其中滤基F=(Ft)t≥0满足通常条件,且{Xn}在关于P的Emery拓扑空间中收敛于X,则当概率测度Q相似文献