Multi-objective Optimization Design of Concrete Mix Proportion Based on Response Surface Methodology and Genetic Algorithm
YU Zhigang
SUN Renfa
LIU Yang
ZHU Biyang
HE Bei
Abstract：To realize the multi-objective performance of concrete proportion design,the optimal ranges for slag content,fly ash content,and water/binder ratio in C40 ready-mixed concrete were studied though single-factor experiments.The response surface methodology was employed to construct quadratic polynomial regression models,with which the effects of different slag content,fly ash content,and water-binder ratio on the slump and compressive strength of concrete were systematically investigated.Furthermore,the non-dominated sorting genetic algorithm(NSGA-Ⅱ)combined with the technique for order preference by similar to ideal solution(TOPSIS)comprehensive evaluation method was applied to achieve the multi-objective optimization design of concrete mix proportion.The results demonstrate that the regression models of concrete slump and 28 d compressive strength established by response surface methodology have correlation coefficients of 0.944 7 and 0.960 4 respectively,indicating good prediction accuracy.The fly ash content has a significant influence on the slump,while the compressive strength is mainly affected by the water-binder ratio.After optimization,the optimal mix proportion scheme is obtained as follows:slag content of 8.66%,fly ash content of 25.00%,and water-binder ratio of 0.34.The relative error between the predicted values and the experimental values is less than 5%.
Keywords：concreteresponse surface methodologygenetic algorithmmix proportion designmulti-objective optimization
Publication Date：2026-01-31
Online Publishing Date：2026-03-17(First online date of this platform, not the publication date of the document)
Pages：11( 129-139 )