42－160柴油机离合器换向拨叉叉头优化设计的光弹验证

本文用光弹性实验方法验证了有限元法对４２—１６０柴油机离合器换向拨叉优化设计的结果。实验证明,有限元优化设计是正确、可靠的,效果是非常好的。     

表格驱动程序设计方法

本文提出了一种具有广泛应用前景的程序设计方法——表格驱动(Formdriven)程序设计方法(以下简称表格驱动法)。文中首先描述了表格驱动法的基本思想、解的结构;分析了这种方法的特点与适用性;剖析了基于表格驱动法的办公自动化软件ALL-IN-1的设计思想,并指出表格驱动法特别适合于设计软件开发工具。     

用非线性规划求解有限推力最优交会

利用非线性规划方法研究了航天器的有限推力最优交会问题。这种方法利用了近年来发展起来的直接优化技术,用分段多项式来表示整个轨道的状态和控制向量,将最优控制问题转化为非线性规划问题。在应用这种方法时,先将整个轨道分为若干推力段和无推力段,然后利用配置方法产生推力段的约束段,利用状态转移矩阵来产生无推力段的约束。最后,对共面轨道情况下的交会进行了数值仿真,验证了方法的有效性和鲁棒性。     

The stochastic single resource service‐provision problem

The service‐provision problem described in this paper comes from an application of distributed processing in telecommunications networks. The objective is to maximize a service provider's profit from offering computational‐based services to customers. The service provider has limited capacity and must choose which of a set of software applications he would like to offer. This can be done dynamically, taking into consideration that demand for the different services is uncertain. The problem is examined in the framework of stochastic integer programming. Approximations and complexity are examined for the case when demand is described by a discrete probability distribution. For the deterministic counterpart, a fully polynomial approximation scheme is known 2 . We show that introduction of stochasticity makes the problem strongly NP‐hard, implying that the existence of such a scheme for the stochastic problem is highly unlikely. For the general case a heuristic with a worst‐case performance ratio that increases in the number of scenarios is presented. Restricting the class of problem instances in a way that many reasonable practical problem instances satisfy allows for the derivation of a heuristic with a constant worst‐case performance ratio. Worst‐case performance analysis of approximation algorithms is classical in the field of combinatorial optimization, but in stochastic programming the authors are not aware of any previous results in this direction. © 2003 Wiley Periodicals, Inc. Naval Research Logistics, 2003     

A parallel machine replacement model

This paper considers a finite horizon parallel machine replacement problem where a fixed number of machines is in operation at all times. The operating cost for a machine goes up as the machine gets older. An older machine may have to be replaced by a new one when its operating cost becomes too high. There is a fixed order cost associated with the purchase of new machines. Machine purchase prices and salvage values may depend on the period in which they were purchased. The objective is to find a replacement plan that minimizes the total discounted cost over the problem horizon. We believe that the costs in our model are more commonly observed in practice than those previously used in the literature. The paper develops properties of optimal solutions and an efficient forward‐time algorithm to find an optimal replacement plan. A dominance property is developed that further limits the options to be considered, and a simple forecast horizon result is also presented. Future research possibilities are mentioned. © 2002 Wiley Periodicals, Inc. Naval Research Logistics 49: 275–287, 2002; Published online in Wiley InterScience (http://www.interscience.wiley.com). DOI 10.1002/nav.10012     

线性无阻尼半正定振动系统简明正定化方法

从线性无阻尼半正定振动系统运动微分方程出发,分析得出系统作自由振动时具有内部惯性力守恒、振动动量守恒以及质心守恒等3个基本物理属性.在此基础上,给出了简明的正定化方法,并证明了该方法的普适性,数值算例也验证了其正确性.与"物理约束"法相比,文中提出的正定化方法规则简单,计算量小,适用于理论推导、计算机编程和数值计算.     

A model of supply-chain decisions for resource sharing with an application to ventilator allocation to combat COVID-19

We present a stochastic optimization model for allocating and sharing a critical resource in the case of a pandemic. The demand for different entities peaks at different times, and an initial inventory for a central agency are to be allocated. The entities (states) may share the critical resource with a different state under a risk-averse condition. The model is applied to study the allocation of ventilator inventory in the COVID-19 pandemic by FEMA to different U.S. states. Findings suggest that if less than 60% of the ventilator inventory is available for non-COVID-19 patients, FEMA's stockpile of 20 000 ventilators (as of March 23, 2020) would be nearly adequate to meet the projected needs in slightly above average demand scenarios. However, when more than 75% of the available ventilator inventory must be reserved for non-COVID-19 patients, various degrees of shortfall are expected. In a severe case, where the demand is concentrated in the top-most quartile of the forecast confidence interval and states are not willing to share their stockpile of ventilators, the total shortfall over the planning horizon (until May 31, 2020) is about 232 000 ventilator days, with a peak shortfall of 17 200 ventilators on April 19, 2020. Results are also reported for a worst-case where the demand is at the upper limit of the 95% confidence interval. An important finding of this study is that a central agency (FEMA) can act as a coordinator for sharing critical resources that are in short supply over time to add efficiency in the system. Moreover, through properly managing risk-aversion of different entities (states) additional efficiency can be gained. An additional implication is that ramping up production early in the planning cycle allows to reduce shortfall significantly. An optimal timing of this production ramp-up consideration can be based on a cost-benefit analysis.     

基于物理模型的行星轮系特征提取与评估方法

特征提取与评估是损伤检测和故障预测的基础。针对2K-H行星轮系缺齿损伤,建立了行星轮系的损伤模型,通过分析模型的仿真信号,提出了基于主频边带、小波变换和经验模式分解的多种损伤特征,并采用双样本一致性检验方法对所提取损伤特征的分类能力进行了评估,采用含噪声的仿真信号和试验数据对损伤特征进行了验证。验证结果表明,所提取的损伤特征均具有较强的分类能力,其中主频边带特征的分类性能最优。     

具有吞吐量和时延约束的软件无线电波形部署决策算法

针对当前具有吞吐量和时延约束的软件无线电波形部署决策算法在内存开销方面考虑的不足,提出一个更为通用的波形部署决策系统模型,将波形的处理开销、内存开销和通信带宽开销都纳入到波形部署决策过程中,并设计了一种基于动态规划的波形部署决策算法以最小化波形对平台各种计算资源的占用总和。仿真结果表明,内存对波形部署决策具有重要影响,与未考虑内存开销的解决方案相比,平台支持的平均最大波形数目和平均处理资源利用率均下降40%左右。     

A decomposition heuristic for the twin robots scheduling problem

This article provides an efficient heuristic based on decomposition for the twin robots scheduling problem (TRSP). TRSP concerns two moving robots executing storage and retrieval requests in parallel along a shared pathway. The depots are located at both ends of the line and a dedicated robot is assigned to each of them. While moving goods between their respective depots and some storage locations on the line, noncrossing constraints among robots need to be considered. Our heuristic uses a dynamic programming framework to determine the schedule of one robot while keeping the other one's fixed. It finds near‐optimal solutions even for large problem instances with hundreds of jobs in a short time span. © 2014 Wiley Periodicals, Inc. 62:16–22, 2015