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．     

Scheduling twin robots on a line

This article introduces the twin robots scheduling problem (TRSP), in which two robots positioned at the opposite ends of a rail are required to deliver items to positions along the rail, and the objective is to minimize the makespan. A proof of ‐hardness of the TRSP is presented, along with exact and heuristic algorithms. Computational results on challenging instances are provided.Copyright © 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 119–130, 2014     

Maintenance scheduling for modular systems: Modeling and algorithms

We study new models of scheduled maintenance management for modular systems, consisting of multiple components with respective cycle limits. The cycle limit of each component specifies the time interval in which this component must be repaired or replaced. The goal is to compute a feasible maintenance schedule that minimizes the cost associated with component maintenance. Applications of these models arise in Air Force aircraft maintenance as well as in other arenas with required preventive maintenance. The typical cost structures that arise in practical settings are submodular, which make the resulting models computationally challenging. We develop two efficient and operationally tenable approximation algorithms. We prove constant factor worst‐case guarantees for both algorithms, and present computational experiments showing that these algorithms perform within a few percent of optimality on operationally relevant instances. © 2014 Wiley Periodicals, Inc. Naval Research Logistics 61: 472–488, 2014     

北斗GEO卫星用户算法的改进方法研究*

针对北斗GEO用户算法需要进行5?倾角的坐标旋转处理这一过程,本文提出了采用经典广播星历参数用户算法直接解算北斗GEO卫星位置的改进方法,并同时给出了相应的基于第二类无奇点根数的广播星历拟合算法。该算法采用第二类无奇点轨道根数代替经典轨道根数,解决了由GEO轨道的小倾角特性引起的经典广播星历参数拟合过程中法化矩阵奇异的问题。从而避免了北斗GEO用户算法中坐标旋转处理过程,减少了GEO用户算法的计算步骤。经过仿真验证,本文提出的改进方法在卫星轨道拟合过程中与原算法精度相当;在卫星轨道外推过程中与原算法相比略有精度损失,但仍满足用户导航定位精度的需求。最后,采用实际北斗GEO星历解算的轨道数据验证了改进算法的有效性。     

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。