Global Optimization Simplex Bisection Revisited Based on Considerations by Reiner Horst

  • Eligius M. T. Hendrix
  • Leocadio G. Casado
  • Paula Amaral
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7335)


In this paper, the use of non-optimality spheres in a simplicial branch and bound (B&B) algorithm is investigated. In this context, some considerations regarding the use of bisection on the longest edge in relation with ideas of Reiner Horst are reminded. Three arguments highlight the merits of bisection of simplicial subsets in B&B schemes.


Global Optimization simplicial partition branch and bound bisection 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Eligius M. T. Hendrix
    • 1
    • 2
  • Leocadio G. Casado
    • 3
  • Paula Amaral
    • 4
    • 5
  1. 1.Arquitectura de ComputadoresUniversidad de MálagaSpain
  2. 2.Logistics and Operations ResearchWageningen UniversityThe Netherlands
  3. 3.Dpt. de Arquitectura de Computadores y ElectronicaUniversidad de AlmeríaSpain
  4. 4.Department of MathematicsUniversidade Nova de LisboaPortugal
  5. 5.CMAUniversidade Nova de LisboaPortugal

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