Virtual Library of Simulation Experiments:

Optimization Test Problems

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Langermann Function

Description:

Dimensions: d

The Langermann function is multimodal, with many unevenly distributed local minima. The recommended values of m, c and A, as given by Molga & Smutnicki (2005) are (for d = 2): m = 5, c = (1, 2, 5, 2, 3) and:

Input Domain:

The function is usually evaluated on the hypercube x_i ∈ [0, 10], for all i = 1, …, d.

Code:

Reference:

Adorio, E. P., & Diliman, U. P. MVF - Multivariate Test Functions Library in C for Unconstrained Global Optimization (2005). Retrieved June 2013, from http://http://www.geocities.ws/eadorio/mvf.pdf.

Molga, M., & Smutnicki, C. Test functions for optimization needs (2005). Retrieved June 2013, from http://www.zsd.ict.pwr.wroc.pl/files/docs/functions.pdf.

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