Virtual Library of Simulation Experiments:

Optimization Test Problems

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Schwefel Function

Description:

Dimensions: d

The Schwefel function is complex, with many local minima. The plot shows the two-dimensional form of the function.

Input Domain:

The function is usually evaluated on the hypercube x_i ∈ [-500, 500], for all i = 1, …, d.

Global Minimum:

Code:

Reference:

GEATbx: Examples of Objective Functions. Retrieved September 2014, from http://www.pg.gda.pl/~mkwies/dyd/geadocu/fcnfun7.html.

Global Optimization Test Functions Index. Retrieved June 2013, from http://infinity77.net/global_optimization/test_functions.html#test-functions-index.

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

Laguna, M., & Marti, R. Experimental Testing of Advanced Scatter Search Designs for Global Optimization of Multimodal Functions (2002). Retrieved June 2013, from http://www.uv.es/rmarti/paper/docs/global1.pdf.

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