模糊优选动态规划在二维资源分配中的应用  

Application of the analytic method of fuzzy optimization and dynamic programming among multiple-objectives in the allocation of the planar resources

作　　者：吴开信[1] 黄天民[1] 郭倩倩[1] 

机构地区：[1]西南交通大学理学院,四川成都610031

出　　处：《海南师范学院学报（自然科学版）》2006年第2期111-115,共5页Journal of Hainan Normal University:Natural Science

摘　　要：针对量纲不一既有定量指标又有定性指标的二维资源分配问题,引入了指标的相对优属度矩阵并建立数学模型;提出用拉格朗日乘子法降维,再通过多目标模糊优选动态规划分析法进行求解这一算法;最后给出一个具体应用算例,并取得了满意的结果.Based on the relative membership grade matrix of the criteria, this paper established the mathematical model of the allocation of the two-dimensional resource problems having not only quantitative objects but also qualitative objects, then reduced the dimension with the Lagrange Factor and solved it by the analytic method of fuzzy optimization and dynamic programming among multiple-objectives. Finally, an example was given and the result was satisfactory. The proposed algorithm is universal in the allocation of the higher dimensional resources because the theory is strict and the solution is simple.

关 键 词：多目标优化 模糊优选 动态规划 二维资源分配 拉格朗日乘子 

分 类 号：O122[理学—数学]