一类集值映射的高阶微分

在文[1]中,H.T.Banks 与M.Q.Jacobs 讨论了集映Ω:R~m→(?)(R~n)的一阶微分,分别给出了Ω可微的充分条件与必要条件。本文改进了文[1]的工作,证明了[1]中条件(3.2)的限制是不必要的,从而得到了Ω可微的充分必要条件,及较为简洁的Ω微分解析表达式。在文中也讨论了Ω的k 阶微分,得到了Ωk 阶可微的充分必要条件及k 阶微分的解析表达式。     

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     

A queueing system with vacations after N services

This article is devoted to the study of an M/G/1 queue with a particular vacation discipline. The server is due to take a vacation as soon as it has served exactly N customers since the end of the previous vacation. N may be either a constant or a random variable. If the system becomes empty before the server has served N customers, then it stays idle until the next customer arrival. Such a vacation discipline arises, for example, in production systems and in order picking in warehouses. We determine the joint transform of the length of a visit period and the number of customers in the system at the end of that period. We also derive the generating function of the number of customers at a random instant, and the Laplace–Stieltjes transform of the delay of a customer. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 646–658, 2015     

Optimal FCFS allocation rules for periodic‐review assemble‐to‐order systems

In Assemble‐To‐Order (ATO) systems, situations may arise in which customer demand must be backlogged due to a shortage of some components, leaving available stock of other components unused. Such unused component stock is called remnant stock. Remnant stock is a consequence of both component ordering decisions and decisions regarding allocation of components to end‐product demand. In this article, we examine periodic‐review ATO systems under linear holding and backlogging costs with a component installation stock policy and a First‐Come‐First‐Served (FCFS) allocation policy. We show that the FCFS allocation policy decouples the problem of optimal component allocation over time into deterministic period‐by‐period optimal component allocation problems. We denote the optimal allocation of components to end‐product demand as multimatching. We solve the multi‐matching problem by an iterative algorithm. In addition, an approximation scheme for the joint replenishment and allocation optimization problem with both upper and lower bounds is proposed. Numerical experiments for base‐stock component replenishment policies show that under optimal base‐stock policies and optimal allocation, remnant stock holding costs must be taken into account. Finally, joint optimization incorporating optimal FCFS component allocation is valuable because it provides a benchmark against which heuristic methods can be compared. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 158–169, 2015     

基于阶次分析方法的齿轮箱齿轮故障诊断研究

研究了旋转机械非稳态振动信号分析中的计算阶次分析方法．分析了该方法在重采样过程中的采样率设置规则．利用插值算法实现了对等时间间隔采样的齿轮箱振动信号的角域重采样,将其应用于齿轮箱加速过程故障诊断,成功识别了齿面磨损故障．结果显示,阶次分析法能有效避免传统频谱方法出现的频率模糊现象,在处理非平稳转速变化信号时具有独特的优越性．     

基于免疫遗传算法的人上位拣选车作业规划问题求解

针对人上位拣选车的作业轨迹规划问题构建了具有附加安全约束条件的时间最优控制数学模型,并提出了一种免疫遗传求解算法．该算法较单纯遗传算法有效避免了种群退化,且收敛速度更快．实验表明,该算法适用于求解人上位拣选车的作业轨迹规划问题．     

超声速导弹的光滑二阶滑模控制器设计

建立了带有气动系数不确定量和外界干扰的超声速导弹的运动模型。采用输出重定义技术克服了导弹过载输出的非最小相位特性,利用容易测量的过载和角速度相组合重新定义了新输出量。为了削弱滑模控制的颤振影响,同时又保持滑模控制的强鲁棒性,采用光滑二阶滑模控制方法设计了导弹过载控制系统中的控制器。设计了二阶滑模观测器对汇总不确定量进行有效估计。为了检验所设计的观测器和控制器的控制效果,仿真分析中对比了光滑二阶滑模控制器和传统滑模控制器的仿真结果。仿真结果表明：光滑二阶滑模控制器能够有效地削弱颤振影响,使导弹过载输出快速准确地跟踪上过载指令信号。     

Exact algorithms for integrated facility location and production planning problems

We consider a class of facility location problems with a time dimension, which requires assigning every customer to a supply facility in each of a finite number of periods. Each facility must meet all assigned customer demand in every period at a minimum cost via its production and inventory decisions. We provide exact branch‐and‐price algorithms for this class of problems and several important variants. The corresponding pricing problem takes the form of an interesting class of production planning and order selection problems. This problem class requires selecting a set of orders that maximizes profit, defined as the revenue from selected orders minus production‐planning‐related costs incurred in fulfilling the selected orders. We provide polynomial‐time dynamic programming algorithms for this class of pricing problems, as well as for generalizations thereof. Computational testing indicates the advantage of our branch‐and‐price algorithm over various approaches that use commercial software packages. These tests also highlight the significant cost savings possible from integrating location with production and inventory decisions and demonstrate that the problem is rather insensitive to forecast errors associated with the demand streams. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011     

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     

基于相位编组和灰度统计的海天线检测

针对复杂海空背景图像中的海天线检测问题,提出了一种基于相位编组和灰度统计的新方法.首先,在边缘图像的基础上运用相位编组算法,得到大量的直线段.然后,根据直线段的图像倾角和到图像原点的距离两个参数对这些直线段进行分类,并选取直线段长度总和最大的若干个类,用这些类中的所有边缘点进行直线拟合,得到若干条候选海天线.最后,通过...