Exponential Transformation in Convexifying a Noninferior Frontier and Exponential Generating Method

D. Li and M. P. Biswal
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D. Li: Chinese University of Hong Kong, Shatin
M. P. Biswal: Chinese University of Hong Kong, Shatin

Journal of Optimization Theory and Applications, 1998, vol. 99, issue 1, No 10, 183-199

Abstract: Abstract The convexification of a noninferior frontier can be achieved in an appropriate equivalent objective space for general nonconvex multiobjective optimization problems. Specifically, this paper proves that taking the exponentials of the objective functions can act as a convexification scheme. This convexification scheme further leads to the exponential generating method that guarantees the identification of the entire set of noninferior solutions.

Keywords: Multiobjective optimization; nonconvex optimization; convexification; noninferior frontier; exponential generating method (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (3)

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DOI: 10.1023/A:1021708412776

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