This article proposes a novel mathematics-based meta-heuristic algorithm, named Triangulation Topology Aggregation Optimizer (TTAO), for solving continuous optimization and engineering applications. The core of the proposed algorithm is based on similar triangular topology in mathematics. The TTAO algorithm contains two strategies, i.e., the generic aggregation and the local aggregation, which contributes to iteratively constructing multiple similar triangular topological units to balance the exploration and exploitation. The former generates new vertexes through positive information exchange between different triangular topological units. And the latter constructs new units at promising locations according to the local optimum vertex of each unit. The performance of the TTAO algorithm is evaluated in comparison with some competitive algorithms on CEC2017 functions for different dimensions and 8 real-world engineering problems. Numerical results verify the outstanding optimization performance of the TTAO algorithm effectively.
Cite this paper as: Zhao, S., Zhang, T., Cai, L., & Yang, R. (2023). Triangulation Topology Aggregation Optimizer: A novel mathematics-based meta-heuristic algorithm for engineering applications. Expert Systems with Applications, 121744. DOI: https://doi.org/10.1016/j.eswa.2023.121744
It was been selected for ESI-HOT Paper on September 2024.
引用
S. Zhao (2025). Triangulation topology aggregation optimizer (https://www.mathworks.com/matlabcentral/fileexchange/136029-triangulation-topology-aggregation-optimizer), MATLAB Central File Exchange. に取得済み.
Zhao, Shijie, et al. “Triangulation Topology Aggregation Optimizer: A Novel Mathematics-Based Meta-Heuristic Algorithm for Engineering Applications.” Expert Systems with Applications, Elsevier BV, Sept. 2023, p. 121744, doi:10.1016/j.eswa.2023.121744.
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