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http://dx.doi.org/10.5139/JKSAS.2007.35.3.212

A Study on the Global Optimization Using the Alienor Method and Lipschitzian Optimization  

Kim, Hyoung-Rae (한국폴리텍항공대학 항공기계과)
Lee, Na-Ri (경상대학교 기계항공공학부)
Park, Chan-Woo (경상대학교 기계학공공학부, 항공기부품기술연구소)
Publication Information
Journal of the Korean Society for Aeronautical & Space Sciences / v.35, no.3, 2007 , pp. 212-217 More about this Journal
Abstract
The Alienor method is a powerful tool for solving global optimization problems. It allows the transformation of a multi-variable problem into a new one that depends on a single variable. Any one-dimensional global optimization method can then be used to solve the transformed problem. Several one-dimensional global optimization methods coupled with the Alienor method have been suggested by mathematicians and it is shown that the suggested methods are successful for test functions. However, there are problems with these methods in engineering practice. In this paper, Lipschitzian optimization without using the Lipschitz constant is coupled with the Alienor method and applied to the test functions. Using test functions, it is shown that the suggested method can be successfully applied to global optimization problems.
Keywords
Alienor method; Lipschitz optimization; Lipschitz constant; Reducing Transformation;
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