Journal of Global Optimization

, Volume 29, Issue 1, pp 19–44 | Cite as

Optimization of Polynomial Fractional Functions

  • Hoang Tuy
  • Phan Thien Thach
  • Hiroshi Konno


A new approach is proposed for optimizing a polynomial fractional function under polynomial constraints, or more generally, a synomial fractional function under synomial constraints. The approach is based on reformulating the problem as the optimization of an increasing function under monotonic constraints.

fractional programming global optimization minimizing a sum of many linear fractions monotonic optimization polyblock approximation method polynomial synomial 


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Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  • Hoang Tuy
    • 1
  • Phan Thien Thach
    • 1
  • Hiroshi Konno
    • 2
  1. 1.Institute of MathematicsHanoiVietnam (e-mail
  2. 2.Department of Industrial Engineering and ManagementTokyo Institute of TechnologyTokyo

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