Free Lunch or No Free Lunch: That is not Just a Question?

TL;DR

This paper reviews recent developments in no-free-lunch theorems and convergence analysis of metaheuristic algorithms, discussing their implications and highlighting open problems in the field.

Contribution

It synthesizes recent results on no-free-lunch theorems and convergence, emphasizing practical implications and identifying open research challenges.

Findings

Free lunches may exist for certain problem types

Recent results refine understanding of algorithm performance

Open problems for future research are highlighted

Abstract

The increasing popularity of metaheuristic algorithms has attracted a great deal of attention in algorithm analysis and performance evaluations. No-free-lunch theorems are of both theoretical and practical importance, while many important studies on convergence analysis of various metaheuristic algorithms have proven to be fruitful. This paper discusses the recent results on no-free-lunch theorems and algorithm convergence, as well as their important implications for algorithm development in practice. Free lunches may exist for certain types of problem. In addition, we will highlight some open problems for further research.