A novel filled function method and quasi-filled function method for global optimization

Z. Y. Wu, Heung Wing Joseph Lee, L. S. Zhang, X. M. Yang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

31 Citations (Scopus)


This paper gives a new definition of a filled function, which eliminates certain drawbacks of the traditional definitions. Moreover, this paper proposes a quasi-filled function to improve the efficiency of numerical computation and overcomes some drawbacks of filled functions. Then, a new filled function method and a quasi-filled function method are presented for solving a class of global optimization problems. The global optimization approaches proposed in this paper will find a global minimum of original problem by implementing a local search scheme to the proposed filled function or quasi-filled function. Illustrative examples are provided to demonstrate the efficiency and reliability of the proposed scheme.
Original languageEnglish
Pages (from-to)249-272
Number of pages24
JournalComputational Optimization and Applications
Issue number2
Publication statusPublished - 1 Jun 2006


  • Filled function
  • Global optimization
  • Quasi-filled function

ASJC Scopus subject areas

  • Control and Optimization
  • Computational Mathematics
  • Applied Mathematics

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