Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 602831, 11 pages
Research Article

Modified T-F Function Method for Finding Global Minimizer on Unconstrained Optimization

1Department of Mathematics, Henan University of Science and Technology, Luoyang 471003, China
2Department of Mathematics, Shanghai Second Polytechnic University, Shanghai 201209, China
3Department of Mathematics, Shanghai University, Shanghai 200444, China

Received 22 February 2010; Revised 16 June 2010; Accepted 15 July 2010

Academic Editor: Wei-Chiang Hong

Copyright © 2010 Youlin Shang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper indicates that the filled function which appeared in one of the papers by Y. L. Shang et al. (2007) is also a tunneling function; that is, we prove that under some general assumptions this function has the characters of both tunneling function and filled function. A solution algorithm based on this T-F function is given and numerical tests from test functions show that our T-F function method is very effective in finding better minima.