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A note on the computation of ordered supported non-dominated solutions in the bi-criteria minimum spanning tree problems

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper presents a new procedure for computing the set of supported non dominated solutions of bi-criteria minimum spanning tree problems in ordered manner. The procedure is based on the systematic detection of edges which must be replaced in one efficient solution to obtain the adjacent one, in the criteria space. This new approach avoids solving unnecessary problems and makes use of previous computations.
Rocznik
Tom
Strony
11--15
Opis fizyczny
Bibliogr. 9 poz., rys.
Twórcy
autor
  • Escola Superior de Tecnologia e Gest~ao de Leiria, Morro do Lena, Alto Vieiro, 2401-951 Leiria, Portugal, cgsilva@estg.ipleiria.pt
Bibliografia
  • [1] K. Andersen, K. J¨ornsten, and M. Lind, “On bicriterion minimal spanning trees: an approximation”, Comput. Oper. Res., vol. 23, pp. 1171–1182, 1996.
  • [2] R. Ahuja, T. Magnanti, and J. Orlin, Network Flows – Theory, Algorithms And Applications, New Yersey: Prentice Hall, 1993.
  • [3] P. Camerini, G. Galbiati, and F Maffioli, “The complexity of multiconstrained spanning tree problems”, in Theory of Algorithms, Colloquium Pecs 1984, L. Lov´asz, Ed. Amsterdam: North-Holland, 1984, pp. 53–101.
  • [4] J. Cohon, Multiobjective Programming and Planning. New York: Academic Press, 1978.
  • [5] J. Cl´ımaco, J. Craveirinha, and M. Pascoal, “Multicriteria routing models in telecommunication networks – overview and a case study”, in Advances in Multiple Criteria Decision Making and Human Systems Management: Knowledge and Wisdom, Y. Shi, D. Olson, and A. Stam, Eds. Amsterdam: IOS Press, 2007, pp. 17–46.
  • [6] M. Ehrgott and X. Gandibleux, “A survey and annoted bibliography of multiobjective combinatorial optimazation”, OR Spektrum, vol. 22, pp. 425–460, 2000.
  • [7] H. W. Hamacher and G. Ruhe, “On spanning tree problems with multiple objectives”, Ann. Oper. Res., vol. 52, pp. 209–230, 1994.
  • [8] R. M. Ramos, S. Alonso, J. Sicilia, and C. Gonz´alez, “The problem of the optimal biobjective spanning tree”, Eur. J. Oper. Res., vol. 111, pp. 617–628, 1998.
  • [9] R. Tarjan, “Sensitivity analysis of minimum spanning trees and shortest path trees”, Inform. Proces. Lett., vol. 14, pp. 30–33, 1982.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT8-0010-0009
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