BMR and BWR: Two Simple Metaphor-Free Optimization Algorithms for Solving Constrained and Unconstrained Problems

This paper presents two simple yet powerful optimization algorithms named Best-Mean-Random (BMR) and Best-Worst-Randam (BWR) algorithms to handle both constrained and unconstrained optimization problems. These algorithms are free of metaphors and algorithm-specific parameters. The BMR algorithm is based on the best, mean, and random solutions of the population generated for solving a given problem; and the BWR algorithm is based on the best, worst, and random solutions. The performances of the proposed two algorithms are investigated on 12 constrained engineering problems and the results are compared with the very recent algorithms (in some cases compared with more than 30 algorithms). Furthermore, computational experiments are conducted on 30 unconstrained standard benchmark optimization problems including 5 recently developed benchmark problems having distinct characteristics. The results proved the better competitiveness and superiority of the proposed simple algorithms. The optimization research community may gain an advantage by adapting these algorithms to solve various constrained and unconstrained real-life optimization problems across various scientific and engineering disciplines.