In this paper, the improved artificial bee colony (IABC) and improved particle swarm optimisation (IPSO) have been used for the optimal design of stepped spillway with the minimisation of construction cost as the energy dissipater structure for a dam project. Generally, the construction cost of this structure is the most expensive part of the project. However, traditional designing methods of stepped spillway such as the Vittal and Porey (VP) approach cannot find optimal dimensions of the stepped spillway with minimum cost. Therefore, the optimisation methods such as meta‐heuristic algorithms have been used. As a case study, Tehri dam’s stepped spillway in India has been considered here and the optimal dimensions of this spillway have been obtained using IPSO, IABC algorithms and the results have been compared with VP approach and other available results. Comparison of the results shows that when the three‐stepped spillway is considered, the results of IABC and IPSO algorithms are improved by 17.72% in comparison with VP results. In addition, when the four‐stepped spillway is considered, the results of IABC, IPSO algorithms are, respectively, improved by 16.47% and 16.53% in comparison with the VP results.

中文翻译：

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使用改进的粒子群算法和人工蜂群算法使阶梯式溢洪道的建设成本最小化

本文将改进的人工蜂群（IABC）和改进的粒子群算法（IPSO）用于阶梯式溢洪道的优化设计，以最大程度地降低大坝工程的耗能结构作为施工费用。通常，此结构的建设成本是项目中最昂贵的部分。但是，传统的阶梯式溢洪道设计方法（如Vittal and Porey（VP）方法）无法以最小的成本找到阶梯式溢洪道的最佳尺寸。因此，已经使用了诸如元启发式算法之类的优化方法。作为案例研究，此处考虑了Tehri大坝在印度的阶梯式溢洪道，并已使用IPSO获得了该溢洪道的最佳尺寸，IABC算法和结果已与VP方法和其他可用结果进行了比较。结果比较表明，考虑三步溢洪道，与VP结果相比，IABC和IPSO算法的结果提高了17.72％。此外，考虑到四级溢洪道，与VP结果相比，IABC，IPSO算法的结果分别提高了16.47％和16.53％。