Algorithm Based on Hive Construction by Tetragonula C. Bee

A Novel Swarm Optimization Algorithm Based on Hive Construction by Tetragonula Carbonaria Builder Bees
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Updated 25 Aug 2025

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A new optimization problem-solving method based on how the stingless bee Tetragonula carbonaria builds and regulates temperature in the hive is presented. The Tetragonula carbonaria Optimization Algorithm (TGCOA) models three different behaviors: strengthening the structure's hive when it's cold, building combs in a spiral pattern at medium temperatures, and stabilizing the hive when it's hot. These temperature-dependent strategies dynamically balance global exploitation and local exploration within the solution space, enabling a more efficient search. To validate the efficiency and effectiveness of the proposed method, the TGCOA algorithm was tested using 10 unimodal and 10 multimodal benchmark functions, 28 constrained problems with dimensions set to 10, 30, 50, and 100 taken from the IEEE CEC 2017, and seven real-world engineering design challenges. Furthermore, it was compared with ten algorithms from the literature. The Wilcoxon signed-rank and Friedman statistical tests were performed to assess the outcomes. The results on the benchmark problems showed that the approach outperformed 80% of the algorithms at a 5% significance level in the Wilcoxon signed-rank test and ranked first overall according to the Friedman test. Additionally, in multidimensional problems, TGCOA was ranked first in dimensions 30, 50, and 100. Moreover, in engineering problems, the approach demonstrated a high capacity to solve constraint problems, obtaining better results than the algorithms that were compared.

Cite As

Gámez, Mildret Guadalupe Martínez, and Hernán Peraza Vázquez. “A Novel Swarm Optimization Algorithm Based on Hive Construction by Tetragonula Carbonaria Builder Bees.” Mathematics, vol. 13, no. 17, Aug. 2025, p. 2721, https://doi.org/10.3390/math13172721.

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Version Published Release Notes
1.0.2

doi added

1.0.1

Updated

1.0.0