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A new bio-inspired metaheuristic algorithm for solving optimization problems based on walruses behavior.

Pavel Trojovský1, Mohammad Dehghani2

  • 1Department of Mathematics, Faculty of Science, University of Hradec Králové, Rokitanského 62, Hradec Králové, 500 03, Czech Republic. pavel.trojovsky@uhk.cz.

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A new bio-inspired Walrus Optimization Algorithm (WaOA) effectively balances exploration and exploitation. This novel metaheuristic algorithm demonstrates superior performance in various optimization tasks and real-world engineering problems.

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Area of Science:

  • Computational Intelligence
  • Optimization Algorithms
  • Bio-inspired Computing

Background:

  • Metaheuristic algorithms are crucial for solving complex optimization problems.
  • Nature-inspired algorithms offer unique approaches to computational challenges.
  • Existing algorithms may struggle with balancing exploration and exploitation phases.

Purpose of the Study:

  • Introduce a novel bio-inspired metaheuristic algorithm, the Walrus Optimization Algorithm (WaOA).
  • Evaluate the performance of WaOA on a comprehensive set of benchmark functions.
  • Assess the applicability of WaOA to real-world engineering and optimization problems.

Main Methods:

  • WaOA is designed based on walrus behaviors: feeding, migrating, escaping predators, and fighting.
  • The algorithm's steps are mathematically modeled into exploration, migration, and exploitation phases.
  • Performance is evaluated using 68 standard benchmark functions, including CEC 2015 and CEC 2017 test suites, and compared against ten established metaheuristic algorithms.

Main Results:

  • WaOA demonstrates strong exploitation capabilities on unimodal functions and exploration capabilities on multimodal functions.
  • The algorithm effectively balances exploration and exploitation, achieving superior results on most benchmark functions.
  • WaOA shows significant effectiveness in solving engineering design issues and real-world optimization problems.

Conclusions:

  • The Walrus Optimization Algorithm (WaOA) presents a competitive and superior performance compared to other metaheuristic algorithms.
  • WaOA's ability to balance exploration and exploitation makes it highly effective for diverse optimization applications.
  • The algorithm's successful application to real-world problems highlights its practical utility.