Firefly Algorithm, Levy Flights and Global Optimization

TL;DR

This paper introduces a novel metaheuristic combining Levy flights with the Firefly Algorithm, demonstrating superior optimization performance over existing algorithms through numerical studies.

Contribution

It formulates a new metaheuristic algorithm that integrates Levy flights into the Firefly Algorithm, enhancing its search capabilities.

Findings

Levy-flight firefly algorithm outperforms existing metaheuristics in numerical tests.

The proposed method shows improved convergence and solution quality.

Implications for broader applications and future research are discussed.

Abstract

Nature-inspired algorithms such as Particle Swarm Optimization and Firefly Algorithm are among the most powerful algorithms for optimization. In this paper, we intend to formulate a new metaheuristic algorithm by combining Levy flights with the search strategy via the Firefly Algorithm. Numerical studies and results suggest that the proposed Levy-flight firefly algorithm is superior to existing metaheuristic algorithms. Finally implications for further research and wider applications will be discussed.