4OR

, Volume 8, Issue 2, pp 195–211

The small world of efficient solutions: empirical evidence from the bi-objective {0,1}-knapsack problem

  • Carlos Gomes da Silva
  • João Clímaco
  • Adiel Almeida Filho
Research Paper

DOI: 10.1007/s10288-009-0110-3

Cite this article as:
Gomes da Silva, C., Clímaco, J. & Filho, A.A. 4OR-Q J Oper Res (2010) 8: 195. doi:10.1007/s10288-009-0110-3

Abstract

The small world phenomenon, Milgram (1967) has inspired the study of real networks such as cellular networks, telephone call networks, citation networks, power and neural networks, etc. The present work is about the study of the graphs produced by efficient solutions of the bi-objective {0,1}-knapsack problem. The experiments show that these graphs exhibit properties of small world networks. The importance of the supported and non-supported solutions in the entire efficient graph is investigated. The present research could be useful for developing more effective search strategies in both exact and approximate solution methods of {0,1} multi-objective combinatorial optimization problems.

Keywords

Networks Small world measures {0, 1} Multi-objective combinatorial optimization problems 

MSC classification (2000)

90C27 

Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  • Carlos Gomes da Silva
    • 1
    • 2
  • João Clímaco
    • 2
    • 3
  • Adiel Almeida Filho
    • 4
  1. 1.Escola Superior de Tecnologia e Gestão de Leiria do Lena, Alto VieiroLeiriaPortugal
  2. 2.INESC-CoimbraCoimbraPortugal
  3. 3.Faculdade de EconomiaUniversidade de CoimbraCoimbraPortugal
  4. 4.Federal University of PernambucoRecifeBrazil