基于AP-DE算法动态迭代步长的研究

为了促进自适应滤波器的滤波性能,建立了一种变步长的基于直接迭代误差AP-DE算法。通过使得权值均方误差下降速度最大,获得了AP-DE算法的优化迭代步长,并分析了所建立算法权值均方误差的统计特性。     

基于年龄更换策略的威布尔分布备件需求计算方法

备件需求量预测在装备保障工作中发挥着重要作用。预防性维修可以消除装备潜在的故障或避免装备发生故障后所导致的严重后果,从而使装备始终处于期望状态。预防性维修策略下备件需求量建模能够以可预见的可靠性数据为基础进行,其关键问题是最佳更换间隔时间的确定。针对威布尔分布装备备件,采用年龄更换策略,确定最佳更换间隔时间,并在此基础上导出威布尔型备件需求计算模型,为备件需求量的预测提供了一种简单有效的方法。     

小口径舰炮对空虚拟校射校正量的最优估计

首先建立了小口径舰炮对空虚拟校射脱靶量的观测方程,分析了脱靶量的统计性质,在此基础上推导出校正量的最优估计量,并用仿真结果验证了结论的正确性。     

基于高斯伪谱法的弹道跟踪制导律

针对拦截临近空间高超声速飞行器的弹道跟踪过程,设计了一种基于高斯伪谱法的跟踪制导律。为了对标称弹道进行精确跟踪,基于线性二次型跟踪问题,应用最优控制理论推导最优解的充要条件,得到带时变增益的线性状态反馈控制量的表达式;基于高斯伪谱法,在离散的勒让德-高斯(LG)点上利用标称弹道数据计算差分矩阵和系数矩阵,求得状态扰动反馈控制律。仿真结果表明,该方法能够快速、有效的消除跟踪误差,满足在线实施要求。     

Dynamic pricing and replenishment: Optimality,bounds, and asymptotics

In many applications, managers face the problem of replenishing and selling products during a finite time horizon. We investigate the problem of making dynamic and joint decisions on product replenishment and selling in order to improve profit. We consider a backlog scenario in which penalty cost (resulting from fulfillment delay) and accommodation cost (resulting from shortage at the end of the selling horizon) are incurred. Based on continuous‐time and discrete‐state dynamic programming, we study the optimal joint decisions and characterize their structural properties. We establish an upper bound for the optimal expected profit and develop a fluid policy by resorting to the deterministic version of the problem (ie, the fluid problem). The fluid policy is shown to be asymptotically optimal for the original stochastic problem when the problem size is sufficiently large. The static nature of the fluid policy and its lack of flexibility in matching supply with demand motivate us to develop a “target‐inventory” heuristic, which is shown, numerically, to be a significant improvement over the fluid policy. Scenarios with discrete feasible sets and lost‐sales are also discussed in this article.     

Global planning of accelerated degradation tests based on exponential dispersion degradation models

The accelerated degradation test (ADT) is an efficient tool for assessing the lifetime information of highly reliable products. However, conducting an ADT is very expensive. Therefore, how to conduct a cost-constrained ADT plan is a great challenging issue for reliability analysts. By taking the experimental cost into consideration, this paper proposes a semi-analytical procedure to determine the total sample size, testing stress levels, the measurement frequencies, and the number of measurements (within a degradation path) globally under a class of exponential dispersion degradation models. The proposed method is also extended to determine the global planning of a three-level compromise plan. The advantage of the proposed method not only provides better design insights for conducting an ADT plan, but also provides an efficient algorithm to obtain a cost-constrained ADT plan, compared with conventional optimal plans by grid search algorithms.     

舰载武器系统研制方案多目标生成与评价方法

舰载武器系统研制方案的生成、评价与优选问题是武器装备研制论证中的重要内容.在分析目前舰载武器系统研制方案论证方法的基础上,构建了舰载武器系统多目标优化模型,提出了舰载武器系统研制方案的多目标生成方法,并建立了不完全偏好信息的舰载武器系统研制方案的多目标评价与优选模型.实例分析说明,该模型与方法是有效的,可为武器装备研制论证问题提供辅助决策方法和智力支持.     

地空导弹群火力优化分配模型

地空导弹群火力优化分配是对多批空中目标分别选择最有效的地空导弹火力单元进行拦截,形成最佳兵力、兵器使用方案,它是地空导弹武器指控系统的一项重要功能。从研究地空导弹群火力优化分配过程出发,建立了地空导弹拦截适宜性检查模型、射击优先度指标计算模型和火力分配方案优化模型,为仿真地空导弹群火力优化分配过程提供了模型依据。     

Quantity discount pricing policies for heterogeneous retailers with price sensitive demand

Although quantity discount policies have been extensively analyzed, they are not well understood when there are many different buyers. This is especially the case when buyers face price‐sensitive demand. In this paper we study a supplier's optimal quantity discount policy for a group of independent and heterogeneous retailers, when each retailer faces a demand that is a decreasing function of its retail price. The problem is analyzed as a Stackelberg game whereby the supplier acts as the leader and buyers act as followers. We show that a common quantity discount policy that is designed according to buyers' individual cost and demand structures and their rational economic behavior is able to significantly stimulate demand, improve channel efficiency, and substantially increase profits for both the supplier and buyers. Furthermore, we show that the selection of all‐units or incremental quantity discount policies has no effect on the benefits that can be obtained from quantity discounts. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005     

最优火力分配的改进方法——递推法

针对均匀分布法确定最优火力分配的不足,给出当某维出现虚数即该维最优火力分布不存在时,对其它维火力分配再优化并达最优的递推法。同时建立了均匀分布法计算ｎ维目标射击效率及其最优火力分配的一般数学模型