• Title/Summary/Keyword: Alienor 방법

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A Study on the Global Optimization Using the Alienor Method and Lipschitzian Optimization (Alienor Method와 Lipschitzian Optimization을 이용한 전역적 최적화에 대한 연구)

  • Kim, Hyoung-Rae;Lee, Na-Ri;Park, Chan-Woo
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.35 no.3
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    • pp.212-217
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    • 2007
  • 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.