超声速二元机翼随机混沌运动分析

以考虑随机扰动的超声速二元机翼为研究对象,采用Kapitaniak方法对超声速二元机翼的随机混沌特性进行研究.采用三阶活塞理论推导超声速二元机翼的非线性气动力和气动力矩,建立考虑随机扰动、具有俯仰立方非线性的机翼2自由度运动微分方程,并将其写成4维状态方程的形式;采用中心流形方法对系统进行降维,将系统状态方程从4维降为...     

Allocation of two redundancies in two‐component series systems

The allocation of redundancies in a system to optimize the reliability of system performance is an interesting problem in reliability engineering and system security. In this article, we focus on the optimal allocation of two exponentially distributed active (standby) redundancies in a two‐component series system using the tool of stochastic ordering. For the case of active redundancy, stochastic comparisons are carried out in terms of the likelihood ratio and reversed hazard rate orders. For the case of standby redundancy, a likelihood ratio ordering result is developed. The results established here generalize and strengthen corresponding results in the recent literature. In addition, several numerical examples are used to explicate the results. © 2013 Wiley Periodicals, Inc. Naval Research Logistics, 2013     

Robust tower location for code division multiple access networks

Designing Code Division Multiple Access networks includes determining optimal locations of radio towers and assigning customer markets to the towers. In this paper, we describe a deterministic model for tower location and a stochastic model to optimize revenue given a set of constructed towers. We integrate these models in a stochastic integer programming problem with simple recourse that optimizes the location of towers under demand uncertainty. We develop algorithms using Benders' reformulation, and we provide computational results. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

On the first come–first served rule in multi‐echelon inventory control

A two‐echelon distribution inventory system with a central warehouse and a number of retailers is considered. The retailers face stochastic demand and replenish from the warehouse, which, in turn, replenishes from an outside supplier. The system is reviewed continuously and demands that cannot be met directly are backordered. Standard holding and backorder costs are considered. In the literature on multi‐echelon inventory control it is standard to assume that backorders at the warehouse are served according to a first come–first served policy (FCFS). This allocation rule simplifies the analysis but is normally not optimal. It is shown that the FCFS rule can, in the worst case, lead to an asymptotically unbounded relative cost increase as the number of retailers approaches infinity. We also provide a new heuristic that will always give a reduction of the expected costs. A numerical study indicates that the average cost reduction when using the heuristic is about two percent. The suggested heuristic is also compared with two existing heuristics. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

试论价层轨道的杂化——兼论杂化轨道理论与价层电子对互斥理论的统一

在分子结构理论中,杂化轨道理论在多原子分子的空间构型被实验确定后,能够根据一定的假设给出合理的解释;价层电子对互斥理论主要用于预测分子或离子的空间构型,但其假设有些生硬、推理不够严密,对VP与电子对空间构型之间关系的推导比较繁琐,不易理解,也不能很好地解释一些多原子分子(如PF5、IF7等分子)中存在键长不等的现象。两种理论在各自的领域都取得了很大的成功,也各有其不足之处,一直未能统一。价层轨道杂化理论正是在综合了这两种理论的优点之后得到的。该理论在假设较少———即假设中心原子的价层轨道在成键时都要发生杂化,该假设与实验事实完全相符———的前提下,利用立体几何学原理对多原子分子的空间构型进行了非常简洁的推导,其结果不仅可全部继承前两种理论的成功之处,而且还能解释多原子分子中出现的键长不同、存在异构体等现象,这是其独到之处,也是其创新之处。     

基于SF-REM的齿轮箱剩余寿命预测方法研究

剩余寿命预测是视情维修决策的重点和难点.针对工程实践中历史数据少、模型参数估计精度低的问题,建立一种基于随机滤波(SF)的齿轮箱剩余寿命预测模型.该方法采用递归期望最大化(REM)算法对模型参数进行递归更新,推导极大似然估计方法的参数递归更新过程,最后经实例验证模型的有效性和实用性.     

均匀面积映射及其在均匀纹理映射中的应用

为形成一个具有更小拉伸的网格参数化映射,在三角形网格面片面积均匀分布的情况下,采用分两步走的均匀面积映射法。通过均质化参数域里的三角形面积,用均匀或不均匀方式有效地降低了采样稀疏问题的影响,避免了传统方法中矩阵奇异值的计算。对三角形网格,先进行均值协调参数化,然后通过一个凸组合让参数域更加均匀,得到一个拉伸较低、面积更加均匀的三角形分布,从而可以更好地取样且适合于纹理映射。通过实验和对比,可以证明在均匀纹理映射方面,均匀面积映射法比保角映射法和等积投影映射法都有明显的提高。     

Model Versions and Fast Algorithms for Network Epidemiology

Network epidemiology has become a core framework for investigating the role of human contact patterns in the spreadingof infectious diseases. In network epidemiology, one represents the contact structure as a network of nodes（individuals） connected bylinks（sometimes as a temporal network where the links are not continuously active） and the disease as a compartmental model（whereindividuals are assigned states with respect to the disease and follow certain transition rules between the states）. In this paper, we discussfast algorithms for such simulations and also compare two commonly used versions,one where there is a constant recovery rate（the numberof individuals that stop being infectious per time is proportional to the number of such people）;the other where the duration of the diseaseis constant. The results show that, for most practical purposes, these versions are qualitatively the same.     

随机理论雷达探测地面目标模型

雷达对地面目标的搜索效能是直升机对地作战效能评估的基础,建立雷达对地面目标搜索的数学模型,并分析几个因素对发现目标概率的影响,以及提高目标发现概率的方法,进而提高直升机的作战效能.模型有效地提高了雷达探测地面目标效能评估的准确性,对于指挥决策部门和设计单位有一定的参考意义.     

A note on necessary and sufficient conditions for ordering properties of coherent systems with exchangeable components

We give necessary and sufficient conditions based on signatures to obtain distribution‐free stochastic ordering properties for coherent systems with exchangeable components. Specifically, we consider the stochastic, the hazard (failure) rate, the reversed hazard rate, and the likelihood ratio orders. We apply these results to obtain stochastic ordering properties for all the coherent systems with five or less exchangeable components. Our results extend some preceding results. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011