• DocumentCode
    1634119
  • Title

    Finding exact solutions for multi-objective optimisation problems using a symbolic algorithm

  • Author

    Askar, S.S. ; Tiwari, A.

  • fYear
    2009
  • Firstpage
    24
  • Lastpage
    30
  • Abstract
    A new symbolic algorithm for multi-objective optimisation problems is proposed. It finds Pareto optimal solutions as equations of the dual Lagrange multipliers for continuous, differentiable, pseudoconvex, and convex functions. The algorithm is able to find the relationship between the decision variables that form the exact curve of the Pareto front.
  • Keywords
    Pareto optimisation; Pareto optimal solutions; convex functions; dual Lagrange multipliers; multi-objective optimisation problems; pseudoconvex; symbolic algorithm; Algorithm design and analysis; Differential equations; IEEE members; Lagrangian functions; Manufacturing; Mathematical programming; Mathematics; Pareto analysis; Stability criteria; Testing;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Evolutionary Computation, 2009. CEC '09. IEEE Congress on
  • Conference_Location
    Trondheim
  • Print_ISBN
    978-1-4244-2958-5
  • Electronic_ISBN
    978-1-4244-2959-2
  • Type

    conf

  • DOI
    10.1109/CEC.2009.4982926
  • Filename
    4982926
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1634119