基于灰色欧几里德理论的地铁基坑支护方案优选  

Optimization of supporting schemes for foundation pit of metro based on gray Euclid relational theory

作　　者：王望珍[1] 李金瑾[1] 

机构地区：[1]武汉大学土木建筑工程学院

出　　处：《中国安全科学学报》2015年第8期111-116,共6页China Safety Science Journal

摘　　要：为提高基坑开挖安全系数,结合基坑支护效果影响因素灰性特点,改进传统灰关联理论,建立灰色欧几里德关联度方案优选模型。采用层次分析法(AHP)与信息熵法分别确定主、客观权重;运用博弈论思想将主、客观权重组合,得到综合权重;采用灰色欧几里德关联度方案优选模型,进行地铁基坑支护方案优选,同时结合某工程实例进行验证。结果表明,通过灰色欧几里德优选方法得到的方案A2为其最优方案,这与实际情况相吻合。For the sake of improving the safety factor of foundation pit excavation,based on that factors influencing the effect of foundation pit supporting a gray Euclid relational theory based optimization model was built through improving the traditional grey relational theory. First,the AHP method and information entropy method were used to determine subjective weights and objective weights. Second,subjective weights and objective weights were combined based on idea of game theory,so that a comprehensive weight was got. Finally,the optimization model was used to optimize supporting schemes for foundation pit of metro,and a certain actual engineering program was used to verify the model. The results show that scheme A2 for the program is the best one by using gray Euclid relational theory,which conforms to the reality.

关 键 词：基坑支护 方案优选 博弈论 灰色欧几里德 组合赋权 

分 类 号：X948[环境科学与工程—安全科学]