MATHEMATICAL MODELING OF ECOLOGICAL SYSTEMS ALGORITHM

Abdel-Razzak Merheb (1) , Hassan Noura (2) , Francois Bateman (3)

1 LIU - Lebanese International University
2 LIS - Laboratoire d'Ingénierie des Systèmes
3 CReA - Centre de recherche de l'armée de l'air

In this paper, the mathematical modeling of a new bio-inspired evolutionary search algorithm called Ecological Systems Algorithm (ESA) is presented. ESA imitates ecological rules to find iteratively the optimum of a given function through interaction between predator and prey search species. ESA is then compared to the well-known Genetic Algorithm which is a powerful bio-inspired stochastic search/optimization algorithm used for decades. Simulation results of the two algorithms optimizing ten different benchmark functions are used to investigate and compare both algorithms based on their speed, performance, reliability, and efficiency.

Mots clés: Ecological Systems Algorithm; Genetic Algorithms; Benchmark functions; Swarm Intelligence; Bio-Inspired Algorithms

Domaines: Algorithme et structure de données [cs.DS]; Ingénierie de l'environnement

Abdel-Razzak Merheb, Hassan Noura, Francois Bateman. MATHEMATICAL MODELING OF ECOLOGICAL SYSTEMS ALGORITHM. Lebanese Science Journal, 2021, 22 (2), pp.209-230. ⟨10.22453/LSJ-022.2.209-231⟩. ⟨hal-03612585⟩