Virtual Library of Simulation Experiments:

Optimization Test Problems

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Rastrigin Function

Description:

Dimensions: d

The Rastrigin function has several local minima. It is highly multimodal, but locations of the minima are regularly distributed. It is shown in the plot above in its two-dimensional form.

Input Domain:

The function is usually evaluated on the hypercube x_i ∈ [-5.12, 5.12], for all i = 1, …, d.

Global Minimum:

Code:

References:

Global Optimization Test Problems. Retrieved June 2013, from
http://www-optima.amp.i.kyoto-u.ac.jp/member/student/hedar/Hedar_files/TestGO.htm.

Pohlheim, H. GEATbx Examples: Examples of Objective Functions (2005). Retrieved June 2013, from http://www.geatbx.com/download/GEATbx_ObjFunExpl_v37.pdf.

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For questions or comments, please email Derek Bingham at: dbingham@stat.sfu.ca.