一种基于AHP-GRAP的山区高速公路路线方案优选方法

山区高速公路选线是一个既包含定性指标又包含定量指标的多目标综合评价问题,它是公路总体设计的关键.根据公路选线的基本原则,结合山区的地形地质条件,分析建立了山区高速公路方案比选的评价指标体系,提出了将层次分析法(AHP)和灰色关联度分析法(GRAP)有机结合,运用在山区高速公路路线方案比选中.利用层次分析法(AHP)确定各指标体系的相对权重,再根据灰色关联度分析法(GRAP)建立其相对应的指标待检向量和指标特征矩阵,计算求得关联度,根据关联度的大小确定最优的路线方案.并以山西省某山区高速公路为例对该方法进行了验证,实践证明该方法用在山区高速公路选线中是切实可行的.

Research on optimization method of mountainous expressway route scheme selection based on AHP-GRAP

A mountainous expressway route scheme selection is a comprehensive multiobjective evaluation problem which contains both qualitative indicators and quantitative indicators;it is the key to overall design of expressways.According to the basic principles of expressway route selection,combining with the terrain and geological conditions of mountains,the mountaionous expressway route selection evaluation system is established;and the method of organic combination of AHP(analytic hierarchy process)and GRAP(grey correlation degree process)for the route selection of mountainous expressway is proposed.Firstly,the relative weight of indicators is determined by the method of AHP;secondly,the pattern vectors to be tested and characteristic matrix of indicators are established;thirdly,correlation degree is calculated and the optimal route is determined according to the size of correlation degree.This method is validated by a case study of expressway route selection in Shanxi Province.The practice proves that the method for mountainous expressway route selection is feasible.