Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 756023, 15 pages
http://dx.doi.org/10.1155/2012/756023
Review Article

A Review of Deterministic Optimization Methods in Engineering and Management

Ming-Hua Lin,1 Jung-Fa Tsai,2 and Chian-Son Yu1

1Department of Information Technology and Management, Shih Chien University, No. 70, Ta-Chih Street, Taipei City 10462, Taiwan
2Department of Business Management, National Taipei University of Technology, No. 1, Section 3, Chung-Hsiao E. Road, Taipei City 10608, Taiwan

Received 24 February 2012; Accepted 18 April 2012

Academic Editor: Yi-Chung Hu

Copyright © 2012 Ming-Hua Lin 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.

Abstract

With the increasing reliance on modeling optimization problems in practical applications, a number of theoretical and algorithmic contributions of optimization have been proposed. The approaches developed for treating optimization problems can be classified into deterministic and heuristic. This paper aims to introduce recent advances in deterministic methods for solving signomial programming problems and mixed-integer nonlinear programming problems. A number of important applications in engineering and management are also reviewed to reveal the usefulness of the optimization methods.