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Article

Group Discussion Based Dynamic and Adaptive Strategies for Enhancing Teaching–Learning-Based Optimization

by
Muhammad Sagheer
1,
Muhammad Asif Jan
2,*,
Akhtar Munir Khan
3 and
Emel Khan
1
1
Institute of Numerical Sciences, Kohat University of Science & Technology, Kohat 26000, Khyber Pakhtunkhwa, Pakistan
2
College of Integrative Studies, Abdullah Al Salem University, Al Khaldiya 72303, Kuwait
3
Department of Computing, Khanpur Institute of Technology, Rahim Yar Khan 64100, Punjab, Pakistan
*
Author to whom correspondence should be addressed.
Mathematics 2026, 14(11), 1864; https://doi.org/10.3390/math14111864
Submission received: 11 April 2026 / Revised: 15 May 2026 / Accepted: 22 May 2026 / Published: 27 May 2026
(This article belongs to the Special Issue Intelligence Optimization Algorithms and Applications)

Abstract

The Teaching–Learning-Based Optimization (TLBO) algorithm simulates the pedagogical dynamics of the classroom to guide population-based search. While TLBO exhibits rapid convergence through effective exploitation of the search space, its enhanced variant—Group TLBO (GTLBO)—introduces a group discussion mechanism during the learning phase to promote diversity and mitigate premature convergence. However, empirical analysis reveals that in early iterations, when selected solutions for discussion are widely dispersed, the algorithm may generate excessively large steps. This can lead to premature exploitation and insufficient exploration, resulting in suboptimal search behavior. To address this limitation, this work proposes two novel variants: Dynamic Group TLBO (DGTLBO) and Adaptive Group TLBO (AGTLBO), which incorporate dynamic and adaptive scaling of learning steps, respectively. Their constrained counterparts, HSR-DGTLBO and HSR-AGTLBO, are further developed by integrating with them a Hybrid Stochastic Ranking (HSR) based constraint-handling mechanism. The proposed algorithms are evaluated on the CEC 2017 benchmark suites and a set of four engineering design problems. The comparative analysis of extensive simulation results demonstrates that adaptive variants outperform dynamic variants, and both are superior to their parent variants and other state-of-the-art algorithms on the tested benchmarks and engineering problems. Additionally, an interaction group size of three yields optimal performance across all the tested cases.
Keywords: meta-heuristic; teaching–learning-based optimization; group discussion; stochastic ranking; CEC 2017 problems; engineering optimization problems meta-heuristic; teaching–learning-based optimization; group discussion; stochastic ranking; CEC 2017 problems; engineering optimization problems

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MDPI and ACS Style

Sagheer, M.; Jan, M.A.; Khan, A.M.; Khan, E. Group Discussion Based Dynamic and Adaptive Strategies for Enhancing Teaching–Learning-Based Optimization. Mathematics 2026, 14, 1864. https://doi.org/10.3390/math14111864

AMA Style

Sagheer M, Jan MA, Khan AM, Khan E. Group Discussion Based Dynamic and Adaptive Strategies for Enhancing Teaching–Learning-Based Optimization. Mathematics. 2026; 14(11):1864. https://doi.org/10.3390/math14111864

Chicago/Turabian Style

Sagheer, Muhammad, Muhammad Asif Jan, Akhtar Munir Khan, and Emel Khan. 2026. "Group Discussion Based Dynamic and Adaptive Strategies for Enhancing Teaching–Learning-Based Optimization" Mathematics 14, no. 11: 1864. https://doi.org/10.3390/math14111864

APA Style

Sagheer, M., Jan, M. A., Khan, A. M., & Khan, E. (2026). Group Discussion Based Dynamic and Adaptive Strategies for Enhancing Teaching–Learning-Based Optimization. Mathematics, 14(11), 1864. https://doi.org/10.3390/math14111864

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