Simple transformation functions for finding better minima

• DOI: 10.1016/j.aml.2007.02.033
• Publication Date: 2007-06-28T13:03:26Z
• Authors: Wei Wang; Yifan Xu
• Keywords: Tunnelling function; Applied Mathematics; 0202 electrical engineering, electronic engineering, information engineering; Mathematical programming; Global optimization; Filled function; 02 engineering and technology

AbstractThis work presents two transformation functions, the α-function and the M-function, for finding better minimizers in global optimization. We prove that under some general assumptions these functions possess the characters of both tunnelling functions and filled functions. Numerical tests from some test functions show that our transformation functions are very effective in finding better minima.