• DocumentCode
    1105024
  • Title

    Reference direction approach for solving multiple objective nonlinear programming problems

  • Author

    Narula, Subhash C. ; Kirilov, Leonid ; Vassilev, Vassil

  • Author_Institution
    Virginia Commonwealth Univ., Richmond, VA, USA
  • Volume
    24
  • Issue
    5
  • fYear
    1994
  • fDate
    5/1/1994 12:00:00 AM
  • Firstpage
    804
  • Lastpage
    806
  • Abstract
    Proposes an interactive algorithm based on the reference direction approach to solve multiple objective nonlinear programming problems. The decision maker gives his/her aspiration levels in terms of the reference point in the objective function space. A number of efficient solutions are generated along the projection of the reference direction onto the efficient frontier. Each solution is an (weak) efficient solution. No special software is required to implement the proposed algorithm. The algorithm is illustrated with an example
  • Keywords
    decision theory; nonlinear programming; aspiration levels; decision maker; interactive algorithm; multiple objective nonlinear programming problems; objective function space; reference direction approach; weak efficient solution; Decision making; Delta modulation; Lagrangian functions; Linear programming; Software algorithms;
  • fLanguage
    English
  • Journal_Title
    Systems, Man and Cybernetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9472
  • Type

    jour

  • DOI
    10.1109/21.293497
  • Filename
    293497