A duality‐based relaxation and decomposition approach for inventory distribution systems

We propose a new method for making the inventory replenishment decisions in distribution systems. In particular, we consider distribution systems consisting of multiple retailers that face random demand and a warehouse that supplies the retailers. The method that we propose is based on formulating the distribution problem as a dynamic program, and relaxing the constraints that ensure the nonnegativity of the shipments to the retailers, by associating Lagrange multipliers with them. We show that our method provides lower bounds on the value functions, and a good set of values for the Lagrange multipliers can be obtained by maximizing a concave function in a relatively straightforward manner. Computational experiments indicate that our method can provide significant improvements over the traditional approaches for making the inventory replenishment decisions, in terms of both the tightness of the lower bounds on the value functions and the performance of the policies. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

杂合数据的粗糙集属性约简方法

针对决策表中属性取值为杂合数据的情况,提出了基于粗糙集理论的属性约简算法.首先给出了对象间在杂合数据下的相似度计算定义.为了获取合理的对象集合的软划分,给出了阈值计算的最优化模型,并基于粗糙集的上、下近似的概念,得到对象集合在条件属性下的上、下近似的覆盖划分.之后,通过各对象基于条件属性和决策属性的上、下近似下的分布矩阵描述,利用最大分布矩阵,直观地得到两种不同观点下的约简结果.实验结果表明了本算法的合理和有效性.     

一种新的动态分形海面模型及其电磁散射统计特性研究

给出了一种更符合海面实际情况的基于未充分发展海谱的分形海面模型(NDFFM),使用双尺度法计算了NDFFM海面的后向散射截面,并研究了动态散射场幅值分布。结果表明在大特征斜率下散射场服从K分布,随着特征斜率的下降,散射场分布向瑞利分布退化。最后将计算数据与传统的分形模型和实测雷达数据进行比对,证明了该模型的准确性和有效性。