In this paper, a recently developed meta-heuristic algorithm, shuffled shepherd optimization algorithm (SSOA), is employed for optimal design of reinforced concrete cantilever retaining wall structures under static and seismic loading conditions. The concepts of set theory are employed to express the SSOA in a set theoretical term. The Rankine and Coulomb theories are utilized in order to estimate the lateral earth pressures under the static loading condition, whereas the Mononobe–Okabe method is employed for the seismic one. Optimization aims to minimize the cost of cantilever retaining wall while satisfying some constraints on stability and strength limits. The design is based on the requirements of ACI 318-05. In order to investigate the efficiency of the SSOA, one benchmark cantilever retaining wall problem is considered from the literature. Comparing the optimization results obtained by the SSOA with those of other meta-heuristics shows the efficient performance of the SSOA in both aspects of accuracy and convergence rate.

中文翻译：

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悬臂式挡土墙结构优化设计的一套理论混洗牧羊人优化算法

在本文中，最近开发的元启发式算法，混洗牧羊人优化算法（SSOA），被用于钢筋混凝土悬臂式挡土墙结构在静态和地震荷载条件下的优化设计。集合论的概念被用来用集合理论术语来表达 SSOA。Rankine 和 Coulomb 理论被用来估计静载荷条件下的侧向土压力，而 Mononobe-Okabe 方法被用于地震。优化旨在最小化悬臂式挡土墙的成本，同时满足对稳定性和强度限制的一些约束。该设计基于 ACI 318-05 的要求。为了研究 SSOA 的效率，从文献中考虑了一个基准悬臂式挡土墙问题。