Inter-basin water diversion systems involve multiple sources, users, and objectives with complex interrelations and numerous decision variables. Classical -constraint method often produce infeasible or redundant solutions in multi-objective optimization. To address this, the limitations of the classical -constraint method are analyzed, and long-term water diversion models with convex objectives are reformulated as convex programming problems. Based on convex programming characteristics, a rotation vector method is proposed to explore the boundary range of the objective space and optimize -constraint threshold combinations, reducing infeasibility and redundancy. The method is applied to testing functions and the South-to-North Water Diversion Eastern Route Project in China, targeting minimization of water shortage, diversion volume, and ecological water supplementation. Results indicate that the main conflicts arise from competition between water supply and ecological demands. Compared with the classical -constraint method, the proposed algorithm increases the Pareto set hypervolume by 35 % and decreases spacing by 15 %, enhancing diversity and uniformity.
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