潜艇跟随突破水面舰艇巡逻线方法

潜艇突破水面舰艇巡逻线是潜艇作战中的一个传统问题,也是潜艇能否顺利实施战斗航渡的关键。传统的突破方法时间长、考虑敌方对抗因素少、实用性不强。针对在对抗条件下,难以或没有时间侦察目标巡逻线样式和兵力配置时,提出一种通过概略估算跟随敌舰进行突破的方法。     

Revenue maximization in two-station tandem queueing systems

We study optimal pricing for tandem queueing systems with finite buffers. The service provider dynamically quotes prices to incoming price sensitive customers to maximize the long-run average revenue. We present a Markov decision process model for the optimization problem. For systems with two stations, general-sized buffers, and two or more prices, we describe the structure of the optimal dynamic pricing policy and develop tailored policy iteration algorithms to find an optimal pricing policy. For systems with two stations but no intermediate buffer, we characterize conditions under which quoting either a high or a low price to all customers is optimal and provide an easy-to-implement algorithm to solve the problem. Numerical experiments are conducted to compare the developed algorithms with the regular policy iteration algorithm. The work also discusses possible extensions of the obtained results to both three-station systems and two-station systems with price and congestion sensitive customers using numerical analysis.     

Planning gamma accelerated degradation tests with two accelerating variables

Gamma accelerated degradation tests (ADT) are widely used to assess timely lifetime information of highly reliable products with degradation paths that follow a gamma process. In the existing literature, there is interest in addressing the problem of deciding how to conduct an efficient, ADT that includes determinations of higher stress‐testing levels and their corresponding sample‐size allocations. The existing results mainly focused on the case of a single accelerating variable. However, this may not be practical when the quality characteristics of the product have slow degradation rates. To overcome this difficulty, we propose an analytical approach to address this decision‐making problem using the case of two accelerating variables. Specifically, based on the criterion of minimizing the asymptotic variance of the estimated q quantile of lifetime distribution of the product, we analytically show that the optimal stress levels and sample‐size allocations can be simultaneously obtained via a general equivalence theorem. In addition, we use a practical example to illustrate the proposed procedure.     

舰船腐蚀电场建模及补偿最优解验证

基于等效偶极子法,从补偿偶极子长度、角度、大小三方面给出了任意角度的补偿偶极子场解析式,再利用电荷矢量叠加原理,建立了"腐蚀偶极子+补偿偶极子"电场模型。仿真以单轴桨船为例,先验证"腐蚀偶极子+补偿偶极子"电场模型的正确性,再进行补偿偶极子对舰船电场的影响验证,从而得出补偿最优解。模拟实验结果表明,补偿阳极在工程允许条件下距离补偿系统接船端最远处,且补偿系统平行于水平面和船体时补偿效果最优;在补偿最优条件下,理论上是可以抵消原舰船腐蚀电场的。     

Dynamic routing of prioritized warranty repairs

Recent years have seen a strong trend toward outsourcing warranty repair services to outside vendors. In this article we consider the problem of dynamically routing warranty repairs to service vendors when warranties have priority levels. Each time an item under warranty fails, it is sent to one of the vendors for repair. Items covered by higher priority warranty receive higher priority in repair service. The manufacturer pays a fixed fee per repair and incurs a linear holding cost while an item is undergoing or waiting for repair. The objective is to minimize the manufacturer's long‐run average cost. Because of the complexity of the problem, it is very unlikely that there exist tractable ways to find the optimal routing strategies. Therefore, we propose five heuristic routing procedures that are applicable to real‐life problems. We evaluate the heuristics using simulation. The simulation results show that the index‐based “generalized join the shortest queue” policy, which applies a single policy improvement step to an initial state‐independent policy, performs the best among all five heuristics. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

基于非线性最优反馈控制的远程拦截闭环制导

利用非线性最优反馈控制和伪谱轨迹快速重构技术,设计了一种有限推力空间远程拦截自适应闭环制导方法。首先建立了有限推力远程拦截最优制导问题模型,并给出了适用于该问题的非线性最优反馈控制求解原理。然后,将空间变轨动力学模型特点和伪谱法相结合,设计了基于状态量缩减的计算效率改进策略以提高轨迹优化的实时性。基于改进伪谱法进行连续轨迹快速重构,利用开环最优解形成闭环反馈,从而保证制导指令的实时更新,并通过引入控制逻辑对制导算法进行改进。时间最短远程拦截仿真表明,该闭环制导方法在保证任务指标最优性的同时,可以有效抑制J2摄动和计算误差的影响,具有较高的制导精度、自适应性和鲁棒性。     

航天器交会中的多圈Lambert问题研究

针对大椭圆轨道追踪器固定时间直接碰撞交会问题,介绍了一种快速确定多圈Lambert问题最优解的新方法。研究了多圈Lambert转移解,分析了转移时间与转移轨道参数的关系;研究了无时间约束最优直接碰撞交会及其必要条件。仿真表明:最优解快速确定方法有效、可行,并可提高计算效率。     

导弹控制系统观测器

建立了反坦克导弹控制系统简化数学模型 ,应用最佳控制理论设计了最佳反馈系统 ,并对状态变量进行重构 ,确定了控制系统观测器 ,从而提高了反坦克导弹控制精度     

牛顿环实验参数的优化处理

通过分析牛顿环实验的系统误差,给出了用牛顿环测量曲率半径实验时条纹级数的取值范围.     

PD反馈特征结构配置在最优控制问题中的应用

考虑了二阶线性系统的比例微分(PD)反馈特征结构配置问题以及其在最优控制问题中的应用。基于比例微分特征结构配置参数化方法,将二阶线性系统的最优控制问题转化为一个便于求解的有约束条件的极小值问题,并给出了相应的求解算法。三自由度质量弹簧阻尼系统算例及其仿真结果表明所提算法简单、有效。