A Literature Survey of Benchmark Functions For Global Optimization Problems

TL;DR

This paper reviews and compiles a comprehensive set of 175 diverse benchmark functions for unconstrained global optimization, aiding in unbiased validation of optimization algorithms.

Contribution

It provides the most complete and diverse collection of benchmark functions to date, facilitating better testing of optimization algorithms.

Findings

Compiled 175 benchmark functions with diverse properties.

This set is the most comprehensive in the literature.

Useful for unbiased validation of new optimization algorithms.

Abstract

Test functions are important to validate and compare the performance of optimization algorithms. There have been many test or benchmark functions reported in the literature; however, there is no standard list or set of benchmark functions. Ideally, test functions should have diverse properties so that can be truly useful to test new algorithms in an unbiased way. For this purpose, we have reviewed and compiled a rich set of 175 benchmark functions for unconstrained optimization problems with diverse properties in terms of modality, separability, and valley landscape. This is by far the most complete set of functions so far in the literature, and tt can be expected this complete set of functions can be used for validation of new optimization in the future.