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数学规划在证券组合优化投资中的应用
引用本文:刘敏. 数学规划在证券组合优化投资中的应用[J]. 湖南科技学院学报, 2005, 26(5): 10-13
作者姓名:刘敏
作者单位:湖南科技学院,数学与计算科学系,湖南,永州,425006
摘    要:证券市场信息是一种具有不确定性的缺失信息.证券组合投资的收益是一个动态的波值。即模型要满足(达到)两个目标:利润最大化和风险最小化。他们是互为前提的。没有绝对意义上的最优解。最优是相对的,也就是多目标决策下的次优解空间(或非劣解集)。在本文中我们在进行分析的基础上,建立一个合理的多目标初等模型,利用数学的方法将模型进化,使得模型易于求解。在此基础之上对模型做进一步的改进,使其趋于合理。

关 键 词:证券组合投资  多目标数学规划  次优解空间
文章编号:1673-2219(2005)05-0010-04
修稿时间:2005-03-26

Mathematics Programming In The Application Of Investment Securities Optimization Grouping
LIU Min. Mathematics Programming In The Application Of Investment Securities Optimization Grouping[J]. Journal of Hunan University of Science and Engineering, 2005, 26(5): 10-13
Authors:LIU Min
Abstract:The market information of the securities is that one kind can not have deterministically disappearance information. It is a dynamic wave value that the securities make the income invested up. On the basis of analysing , set up effective risk evaluate the mechanism in the article originally, set up one reasonable elementary model, method to utilize mathematics evolve the model, get a model which meets the general situation. Utilize this model to ask solving to the real data that is gathered , and then according to asking the result of solving to do further improvement to the model, make it tend towards it rationally.
Keywords:The securities make investment up  Many goals mathematics planning  Time excellent to solving-space
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