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Exponential transformation in convexifying a noninferior frontier and exponential generating method

D. Li, M. P. Biswal

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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.
Original languageEnglish
Pages (from-to)183-199
JournalJournal of Optimization Theory and Applications
Volume99
Issue number1
DOIs
Publication statusPublished - Oct 1998
Externally publishedYes

Research Keywords

  • Convexification
  • Exponential generating method
  • Multiobjective optimization
  • Nonconvex optimization
  • Noninferior frontier

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