基于博弈论赋权耦合灰色关联分析的调蓄池优化选址

Optimal Location of Storage Tanks Based on Game Theory Weighting GRA-TOPSIS

摘要:

在构建城市内涝风险评估指标体系的基础上，采用博弈论（GT）思想将层次分析法（AHP）所得主观权重与改进熵值法（IEVM）所得客观权重组合赋权，并将灰色关联分析（GRA）与逼近理想解排序（TOPSIS）相结合，建立量化评估框架，最终通过各节点的相对贴近度确定调蓄池的位置。结果表明：GRA-TOPSIS所得综合值的变异系数为0.628，均高于单独使用GRA或TOPSIS的变异系数，更有利于对各节点内涝风险进行辨识。此外，应用该方法对消除城市内涝风险、提高城市防涝标准有显著效果。

关键词:调蓄池选址;博弈论（GT）;灰色关联分析（GRA）;逼近理想解排序（TOPSIS）;雨水管理模型（SWMM）

Abstract:

After constructing the index system of urban waterlogging risk assessment， the idea of game theory （GT） was used to combine the subjective weight obtained by the analytic hierarchy process （AHP） and the objective weight obtained by the improved entropy value method （IEVM）. The quantitative evaluation framework was established by combining the grey relation analysis （GRA） with the technique for order preference by similarity to ideal solution （TOPSIS）， and finally the location of the storage tanks was determined by the relative closeness of each node. It is shown that the coefficient of variation of the comprehensive value from GRA-TOPSIS is 0.628， higher than that from GRA or TOPSIS alone， which is more conducive to the identification of waterlogging risk at each node. In addition， the method can eliminate the risk of urban waterlogging and improve the standard of urban waterlogging prevention.

Key words:location of storage tanks;game theory （GT）;grey relational analysis （GRA）;technique for order preference by similarity to ideal solution （TOPSIS）;storm water management model（SWMM）