针对单纯依赖阀门调控难以有效避免带分岔管供水系统关阀水锤危害，该研究构建了以阀门与双向调压塔控制参数为决策变量，以系统压力极值最小、阀门调控时长最短为目标函数的塔阀联合调控优化模型，同时提出了一种基于LMOEA-DS-TOPSIS的塔阀联合调控优化-决策方法，应用定向抽样多目标进化算法(LMOEA-DS)求解塔阀联合调控优化模型，利用优劣距离算法(TOPSIS)对计算生成的Pareto前沿解进行方案优选。以中国山东某供水工程为例，通过超体积参数(HV)、空间距离(SP)指标评估，结果表明，LMOEA-DS算法在求解塔阀联合调控优化模型时，设置个体数量、引导解数量、总体数量分别为50、30、8 000，收敛性能良好。据此求解得到的Pareto前沿解分布均匀、可达性良好。同时，采用TOPSIS在Pareto前沿解中可决策出塔阀联合优化方案，显著提升了系统运行稳定性，其最大、最小压力包络线变化幅度分别降低了21.25%、47.72%，阀门总关时间缩短了5.43%。该研究成果可为带分岔管供水工程塔阀联合调控优化问题提供参考。

Objective: Water supply systems with branch pipes, relying exclusively on valve control, frequently demonstrate deficiencies in effectively mitigating water hammer during valve closure. This inadequacy often results in transient system pressures surpassing safety thresholds, thereby compromising operational safety. Consequently, there is an imperative for research on the combined protection of bidirectional surge tanks and valves in such systems. However, the coordinated control of tanks and valves involves numerous variables and strongly coupled nonlinear relationships, in which parameters interact, rendering it a complex optimization problem. In light of the challenges associated with meeting multiple safety requirements concurrently, it is essential to conduct a comprehensive investigation into the synergistic mechanisms between tanks and valves and to formulate a corresponding optimization and decision-making method that will facilitate the attainment of globally optimal control strategies. Methods: The present study developed an integrated optimization model for the coordinated control of tanks and valves. The model treats the control parameters of both the valves and the bidirectional surge tank as decision variables. The objective functions were defined as minimizing the extreme pressure values in the system and shortening the valve closure duration. A novel optimization and decision-making method was proposed, which utilizes a large-scale multi-objective evolutionary algorithm with directed sampling combined with the technique for order preference by similarity to ideal solution (LMOEA-DS-TOPSIS). To solve the optimization model, LMOEA-DS was employed, and TOPSIS was applied to select the optimal solution from the generated Pareto front. Results: An investigation into a particular water supply project in Shandong, China, revealed that the combined control of the main pipeline's end valve and the branch pipe's end valve was inadequate in ensuring safety compliance. This finding necessitated further optimization of the subsequent tank-valve joint control strategy. To address this challenge, the LMOEA-DS algorithm was employed to solve the established multi-objective optimization model for tank-valve coordination. The parameters were set as follows: 50 individuals, 30 guiding solutions, and a total population size of 8 000. The hypervolume (HV) and spacing (SP) metrics were 32 062.6 and 0.527 8, respectively, indicating adequate convergence performance. Moreover, the resulting Pareto front demonstrates considerable spans of 14.62 m, 4.36 m, and 240 s across the three objective dimensions, with solutions exhibiting uniform distribution and adequate accessibility. This outcome suggests that Pareto solutions, when distributed widely, can be obtained in a relatively brief computational time. The optimization effect is particularly noteworthy in the context of the positive pressure protection objective. The collective analysis of these results substantiates the effectiveness of the LMOEA-DS algorithm in addressing the proposed model and validates the rationality of the parameter settings. Subsequently, employing a TOPSIS analysis to select the optimal tank-valve joint scheme from the Pareto front resulted in reductions of 21.25% and 47.72%, respectively, in the amplitude of the maximum and minimum pressure envelope lines. Furthermore, a 5.43% shortening of the total valve closure time was demonstrated. This outcome significantly enhanced the operational stability of the system and confirmed the superiority of the LMOEA-DS-TOPSIS optimization and decision-making method. Conclusions: The results verify that the synergistic strategy employing a bidirectional surge tank and valves exhibits significantly superior effectiveness in safeguarding against transient processes in comparison to conventional single-method approaches. Moreover, the outcomes corroborate the effectiveness of the proposed LMOEA-DS-TOPSIS optimization and decision-making method for coordinated tank-valve control. The research findings not only successfully achieve effective transient protection for water supply systems with branch pipes but also provide an innovative solution for the design and optimization of water hammer protection systems in the field of engineering.