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A literature survey of benchmark functions for global optimisation problems

Open access
Jamil, Momin, Yang, Xin She·2013·International Journal of Mathematical Modelling and Numerical Optimisation

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.

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Metadata

Authors
Jamil, M., & Yang, X. S.
Venue
International Journal of Mathematical Modelling and Numerical Optimisation
Published
2013
Volume
4
Issue
2
Pages
150
ISSN
  • 2040-3607 (ISSN-L)
  • 2040-3615
OpenAlex
W2119401655
Cited by
1,301
References
54
FWCI
54.85
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: A literature survey of benchmark functions for global optimisation problems. https://app.cochat.ai/papers/10.1504/ijmmno.2013.055204
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Jamil, M., & Yang, X. S. (2013). A literature survey of benchmark functions for global optimisation problems. International Journal of Mathematical Modelling and Numerical Optimisation. https://doi.org/10.1504/ijmmno.2013.055204

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.