基于博弈论和相对熵的基坑支护方案优选  

Optimization of Supporting Schemes for Foundation Pit Based on Game Theory and Relative Entropy Evaluation Method

作　　者：王望珍[1] 陈翼飞[1] 李素芹[1] 毛宝林[1] 

机构地区：[1]武汉大学土木建筑工程学院,湖北武汉430072

出　　处：《数学的实践与认识》2015年第6期165-171,共7页Mathematics in Practice and Theory

摘　　要：基坑支护方案优选是一项多属性决策,提出了一种基于博弈论组合赋权和相对熵的逼近理想解(TOPSIS)决策模型.首先采用信息熵确定客观权重,运用层次分析法确定主观权重,然后引入博弈论集结模型将主客观权重科学化组合,得到综合权重,最后采用一种基于相对熵的逼近理想解决策方法进行基坑支护方案优选,并结合工程实例进行验证.结果证明:基于相对熵的TOPSIS决策模型在案例中的评价结果与工程实际相吻合.Optimization of supporting schemes for foundation pit is a multi-attribute decision.This thesis proposes a TOPSIS decision model based on relative entropy method and game theory.In the first,the information entropy method and AHP method were used to determine objective weights and subjective weights.Then a aggregated model based on game theory was introduced in to make a scientific portfolio considering subjective weights and objective weights and got a comprehensive weight.Finally,an improved TOPSIS decision method based on relative entropy method was used to make the optimization of supporting schemes for foundation pit,and an actual engineering program was used to verify this model.The result improves that the evaluation result calculated by TOPSIS decision model based on relative entropy theory match with the actual engineering.

关 键 词：博弈论组合赋权 相对熵 基坑支护 方案优选 

分 类 号：O225[理学—运筹学与控制论]