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购车问题的数学模型

时间:2017-08-11 数学毕业论文 我要投稿

购车问题的数学模型

摘要

本文针对不同人群购车的考虑因素,以及市场上几款典型用车的各项性能指标,使用层次分析法(AHP)建立数学模型分析各种汽车的市场前景。层次分析法是对1些较为复杂、较为模糊的问题作出决策的简易方法,它特别适用于那些难于完全定量分析的问题。模型分为3个层次:目标层(购车),准则层(汽车性能指标)和方案层(汽车购买选择)。目标层是分析问题的预定目标,也就是购车。准则层包含了为实现目标所涉及的中间环节,根据不同人群在购车时所考虑因素,建立正互反矩阵,计算出权重向量,得出不同人群购车时的偏重因素。方案层包括了为实现目标可供选择的各种措施或决策方案,也是通过计算权重向量,得出各种汽车在同1指标中的优劣。最后将准则层和方案层进行整合,即可得出不同人群可供选择的车型。把模型得出的结论和搜集的资料进行对比,可以发现两者的结论基本1致,说明该模型和实际比较贴近,结果比较合理。

关键词:购车问题;决策;层次分析;1致性;权重向量。
 
                                   Abstract

  The article is concerning consideration automobiles and various function targets of above typical cars , I established Maths model to analyze market prospects of different cars by use of AHP . It fives easy solutions to some complex and unclear problems , and is suitable for those problems not solved by quantitative analysis in particular . This model consists of three gradations : Aim(purchasing the car) , principle(capability target) and plan(choosing the car) . The aim is a predetermined one for problem analysis , which is automobile purchase . The principle includes middle segments involved for the realization of goals . According to adequate consideration of different consumer needs , setting up matrix , counting vectors ,I get the preferred elements of them to purchase a car . The plan includes kinds of suggestions for choices . Then advantages and disadvantages of the car are concluded under the models are finished for buyers to choose . Through the comparison between the conclusion from the model and material collected if the result is mostly the same , that means the model is close to reality and the the result is reasonable .

Key words : purchasing , decisopn , consistency , matrix

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