连续求解样本协方差矩阵迹的快速递推算法

为解决当样本数据不断增加时,利用传统方法反复计算样本协方差迹耗时多的缺点,提出了一种快速递推算法。理论分析和仿真试验都表明,算法的时间复杂度比传统的方法降低了一个数量级,从而大大减少了计算时间。     

A balancing problem for mixed model assembly lines with a paced moving conveyor

We state a balancing problem for mixed model assembly lines with a paced moving conveyor as: Given the daily assembling sequence of the models, the tasks of each model, the precedence relations among the tasks, and the operations parameters of the assembly line, assign the tasks of the models to the workstations so as to minimize the total overload time. Several characteristics of the problem are investigated. A line‐balancing heuristic is proposed based on a lower bound of the total overload time. A practical procedure is provided for estimating the deviation of any given line‐balance solution from the theoretical optimum. Numerical examples are given to illustrate the methodology. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004.     

On the uncapacitated K‐commodity network design problem with zero flow‐costs

Extending Sastry's result on the uncapacitated two‐commodity network design problem, we completely characterize the optimal solution of the uncapacitated K‐commodity network design problem with zero flow costs for the case when K = 3. By solving a set of shortest‐path problems on related graphs, we show that the optimal solutions can be found in O(n³) time when K = 3, where n is the number of nodes in the network. The algorithm depends on identifying a list of “basic patterns”; the number of basic patterns grows exponentially with K. We also show that the uncapacitated K‐commodity network design problem can be solved in O(n³) time for general K if K is fixed; otherwise, the time for solving the problem is exponential. © 2004 Wiley Periodicals, Inc. Naval Research Logistics, 2004     

渐开线球齿轮齿廓曲面方程的推导

介绍了一种新发明的球齿轮机构,建立了新型球齿轮齿廓曲面的参数方程。推导了渐开线齿廓曲线的通用表达式,对其进行旋转变换得到了球齿轮机构中齿轮的环形齿面方程。利用双自由度啮合理论,进一步推导出新型球齿轮的啮合方程,最后推导出渐开线球齿轮共轭齿廓曲面方程。理论结果证明了渐开线环面齿廓的共轭齿廓曲面仍然是渐开线环形曲面。     

灾害应急反应建模与仿真

为了满足多智能体应急反应仿真的需求,首先对构建多智能体应急反应仿真模拟框架的复杂性进行了分析,在此基础上提出并设计了组件式仿真模拟框架.采用本体(Ontology)建模、语义网模型及产生式规则推理等理论方法构建了仿真模拟框架的场景建模模块、人员Agent建模模块等组件.最后对依照上述研究内容所开发的原型系统进行了测试,对测试结果进行了分析,结果表明该框架能够有效满足多智能体应急反应仿真的建模需求.     

Optimal pricing for a short life‐cycle product when customer price‐sensitivity varies over time

Technology products often experience a life‐cycle demand pattern that resembles a diffusion process, with weak demand in the beginning and the end of the life cycle and high demand intensity in between. The customer price‐sensitivity also changes over the life cycle of the product. We study the prespecified pricing decision for a product that exhibits such demand characteristics. In particular, we determine the optimal set of discrete prices and the times to switch from one price to another, when a limited number of price changes are allowed. Our study shows that the optimal prices and switching times show interesting patterns that depend on the product's demand pattern and the change in the customers' price sensitivity over the life cycle of the product. © 2012 Wiley Periodicals, Inc. Naval Research Logistics, 2012     

含噪稀疏信号重构的l0范数期望值最小化方法

压缩感知理论是对信号压缩的同时进行感知的新理论,而如何通过有限的测量值重构稀疏信号是压缩感知理论中的核心问题。针对测量值受噪声污染的含噪稀疏重构问题,提出了近似l0范数期望值最小化方法。该算法基本思想是将含噪稀疏重构问题转化为近似l0范数期望值最小化问题,并利用噪声的统计特征将随机最优化问题化简为常规的最优化问题,然后采用最速下降法求解。数值仿真表明,本文提出的方法具有更好的重构精度,且计算量较小。     

基于预警时间窗口的空天反导预警体系构建

如何构建一个完善的反导预警体系并确保反导预警时间充足是当前的一个研究热点,创新性地应用反导预警时间窗口分析各类预警系统的性能,并为反导预警体系构建给出相关决策依据。首先结合预警时间窗口的概念,给出天基支援下预警时间窗口的数学描述;然后,建立了反导预警过程中攻防双方的数学模型及仿真方法;接着,对反导预警时间窗口的计算进行了具体分析;最后,结合具体仿真实例,分析了天基预警卫星对反导预警时间窗口的扩展作用,得出了一些较为实用的结论。     

舰船维修器材保障点选址决策模型及算法

传统的最大覆盖选址模型没有考虑对服务半径外的需求点的满足和服务时间的响应,而在舰船维修器材保障中,不论需求点到保障点的距离是否大于服务半径,都应对其进行保障服务,且在保障过程中要满足保障时间控制在不影响舰船正常维修任务时间内。针对此问题,运用广义最大覆盖选址模型和时间满意度函数,构建基于时间满意的广义最大覆盖选址模型,并运用一种混合算法———基于遗传模拟退火算法的BP算法对模型进行求解。最后,运用该算法对实例进行了分析计算,计算结果验证了该算法的有效性。     

履带车辆静动液辅助制动系统仿真与实验研究

针对履带车辆静动液辅助制动系统液力辅助制动和液力液压联合辅助制动工况,建立对应工况下的数学模型进行仿真研究,并根据相似原理进行静动液辅助制动系统实验．仿真和实验结果表明,所建立的数学模型能够准确反映系统的实际制动性能,且该辅助制动系统能够为车辆提供可靠的制动．