地下工程风险分析的层次分析法及MATLAB应用

Application of Analytical Hierarchy Process and MATLAB Program for Risk Analysis of Underground Engineering

针对层次分析法应用的不足,探讨了层次分析法在MATLAB中的实现过程,编制了相应的子函数程序,解决了在层次分析法应用中,采用近似的方法求解矩阵最大特征值和特征向量的问题。以基坑工程风险分析为例,分析了层次分析法MATLAB程序在地下工程风险分析中的应用。结果表明,层次分析法结合MATLAB应用,能较好地进行地下工程多因素的风险分析。

In light of the application shortcoming of analytical hierarchy process（AHP）, the realization process of AHP is analyzed in MATLAB and its subprograms are designed. The MATLAB program of AHP solves the problem of calculating maximum eigenvalue and eigenvector of comparison matrix with approximate methods. Through an example of risk analysis for foundation pit, AHP and MATLAB program are illustrated in the application of risk analysis for underground engineering. The application results show that the MATLAB program of AHP can be used to do multi-factors risk analysis for underground engineering well.