Title: A sequential hybrid optimisation of Harris-Hawk optimisation with Osprey Optimisation Algorithm for searching global optima

Authors: Vikas Shinde; Rahul Jha; Dilip Kumar Mishra

Addresses: Department of Engineering Mathematics and Computing, Madhav Institute of Technology and Science, Gwalior, 474005, India ' Department of Engineering Mathematics and Computing, Madhav Institute of Technology and Science, Gwalior, 474005, India ' Department of Engineering Mathematics and Computing, Madhav Institute of Technology and Science, Gwalior, 474005, India

Abstract: The major problems faced in global optimisation are the premature convergence of local optimum and expensive exploration of complex search spaces. In this paper, a new sequential hybrid optimisation technique is presented: Hybrid Harris Hawks Osprey Optimisation Algorithm (Hybrid-HHOOOA), which integrates Harris Hawks Optimiser (HHO) with Osprey Optimisation Algorithm (OOA) to overcome such challenges. Taking inspiration from the hunting process of hawks, an HHO efficiently explores the search space in a bid to find probable solutions. The final solutions obtained from HHO act as the initial inputs for OOA. Further, by increasing the search intensity in the promising areas, it improves exploitation. Hybrid-HHOOOA was run on 15 benchmark functions and showcased better results compared to HHO, PSO, sine cosine algorithm (SCA), ant-lion optimisation (ALO), Wolf optimisation algorithm (WOA), Grey-Wolf optimisation (GWO) and multi-verse optimisation (MVO). Results indicate that Hybrid-HHOOOA balances between exploration and exploitation appropriately to achieve better global optimisation results. Hybrid-HHOOOA has also applied on one engineering design problem (Speed Reducer Design) and obtained results significantly optimised. The hybrid approach has exemplified the effect of integrating sequential methods and nature-inspired principles in optimising complex real-world problems.

Keywords: metaheuristic algorithms; Harris-Hawks optimisation; Osprey optimisation algorithm; hybridisation.

DOI: 10.1504/IJCSM.2025.148203

International Journal of Computing Science and Mathematics, 2025 Vol.21 No.4, pp.303 - 331

Accepted: 15 May 2025
Published online: 29 Aug 2025 *

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