深基坑支护方案灰色物元分析优化模型及其应用

An optimization model of grey matter element analysis of supporting schemes for deep foundation pit and its application

针对深基坑支护方案优化中各指标的不相容性和信息不完全性,提出基于灰色物元分析的深基坑支护方案优化模型。该模型将备择方案、优化指标及其灰特征值作为灰色物元,通过计算综合关联度进行排序,得到相对最优的深基坑支护方案。结合工程实例,采用深基坑支护结构的可靠性、造价、施工难度、工期和环境影响5项指标,将该模型应用于具有4个备择方案的深基坑支护方案优化。与模糊优化理论模型进行了对比,得到了一致的结果。灰色物元分析优化模型同时考虑了方案优化问题中各指标间的不相容性和其数值的灰色性,概念清晰、方法合理,结果更加符合实际。

In view of the incompatibility and grayness of indices in optimization of supporting scheme for deep foundation pit, an optimization model based on grey matter element analysis is presented. The model takes the scheme to be selected, optimization indices and its grey characteristic value as grey matter elements, and relative optimum supporting schemes for deep foundation pit is obtained by calculating the comprehensive relational degree. The practical example, with 4 supporting schemes for deep foundation pit, is introduced by using such indices as reliability, cost of construction, difficulty of construction, time limit for a project, and environment influence. Compared it with fuzzy optimization theory model, the result obtained is coincident. Considering both the incompatibility and grayness of indices in scheme optimization, the optimization model of grey matter element analysis is clear in concept and reasonable in method, the result is in accord with the practice.