This paper presents some developments in the optimization effectiveness for the dynamic design of water distribution networks (WDNs), tackled employing multi-objective genetic algorithms. Unlike the traditional single-phase design, the dynamic multi-phase design operates on planning WDN upgrades on short time intervals, also called phases or stages, while fitting them into a long-term planning horizon, thus requiring bespoke research efforts for the improvement of the optimization effectiveness. A modified version of dynamic NSGA-II optimization is introduced here, including: no penalty on the objective functions for infeasible solutions, adoption of engineering judgments in the construction of optimization individuals, restricting the number of parallel pipes at each site. This results in the improvement of convergence speed and solution quality in two case studies with different complexities.

本文介绍了利用多目标遗传算法解决的水分配网络（WDN）动态设计优化有效性方面的一些发展。与传统的单阶段设计不同，动态多阶段设计在较短的时间间隔（也称为阶段或阶段）上计划WDN升级，同时将其适应长期的计划范围，因此需要进行定制研究工作以改进优化效果。这里介绍了动态NSGA-II优化的修改版本，其中包括：对不可行的解决方案的目标函数不加任何惩罚，在优化人员的构造中采用工程判断，限制每个站点的并行管道数量。