Multi-objective optimal allocation of regional water resources based on slime mould algorithm

The slime mold algorithm (SMA) is applied to optimize the allocation of water resources in Wuzhi. The cost of using mathematical methods to optimize an engineered water allocation problem is enormous, and heuristic algorithms have become reliable and effective optimization tools. In this study, a multi-objective water resources optimal allocation model integrating social, economic and environmental objectives is constructed for the study area, and SMA equipped with fast convergence and accurate search is applied to optimize the problem. Water allocation schemes for the region in 2025 and 2030 were obtained, and the distribution results were independently analyzed from both the demand and supply sides. The results show that the total water distribution in 2025 and 2030 are about 323 million m3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$^{3}$$\end{document} and 346 million m3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$^{3}$$\end{document}, and the water deficit ratios are 2.90% and 6.95%, respectively. From the perspective of regional development, the water dispatched in the region still is less than the water demand and the optimized water resource allocation plan can guide the development of the region.