Heuristic Search for the Generalized Minimum Spanning Tree Problem

Published Online:https://doi.org/10.1287/ijoc.1040.0077

References

  • Aarts E. H. L., Lenstra J. K.Local Search in Combinatorial Optimization (1997) (John Wiley and Sons, Chichester, UK) Google Scholar
  • Ahuja R. K., Magnanti T. L., Orlin J. B.Network Flows: Theory, Algortihms and Applications (1993) (Prentice-Hall, Englewood Cliffs, NJ) Google Scholar
  • Dror M., Haouari M., Chaouachi J. Generalized spanning trees. Eur. J. Oper. Res. (2000) 120:583–592CrossrefGoogle Scholar
  • Feremans C.Generalized Spanning Trees and Extensions (2001) . Ph.D. thesis, Institut de Statistique et de Recherche Opérationnelle, Université Libre de Bruxelles, Bruxelles, BelgiumGoogle Scholar
  • Feremans C., Labbé M., Laporte G. A comparative analysis of several formulations for the generalized minimum spanning tree problem. Networks (2002) 39:29–34CrossrefGoogle Scholar
  • Feremans C., Labbé M., Laporte G. The generalized minimum spanning tree problem: Polyhedral analysis and branch-and-cut algorithm. Networks (2004) 43:71–86CrossrefGoogle Scholar
  • Fischetti M., Salazar-Gonzalez J. J., Toth P. Symmetric generalized traveling salesman problem. Oper. Res. (1997) 45:378–394LinkGoogle Scholar
  • Goldberg D. E.Genetic Algorithms in Search, Optimization Machine Learning (1989) (Addison Wesley Longman, Inc., Reading, MA) Google Scholar
  • Holland J. H. Outline for a logical theory of adaptive systems. J. Association Comput. Machinery (1962) 3:297–314CrossrefGoogle Scholar
  • Michalewicz Z.Genetic Algorithms + Data Structures = Evolution Programs (1996) (Springer, Heidelberg, Germany) CrossrefGoogle Scholar
  • Myung Y. S., Lee C. H., Tcha D. W. On the generalized minimum spanning tree problem. Networks (1995) 26:231–241CrossrefGoogle Scholar
  • Pop P. C., Kern W., Still G. J. The generalized minimum spanning tree problem. (2000) . Technical report, Department of Operations Research and Mathematical Programming, University of Twente, Twente, The NetherlandsGoogle Scholar
  • Pop P. C., Kern W., Still G. J. An approximation algorithm for the generalized minimum spanning tree problem with bounded cluster size. (2001) . Technical report, Department of Operations Research and Mathematical Programming, University of Twente, Twente, The NetherlandsGoogle Scholar
  • Raghavan S. On modeling the generalized minimum spanning tree. (2002) . Technical report, The Robert H. Smith School of Business, University of Maryland, College Park, MDGoogle Scholar
  • Reinelt G. TSPLIB—A traveling salesman problem library. INFORMS J. Comput. (1991) 3:376–384LinkGoogle Scholar
  • Tovey C. A., Aarts E. H. L., Lenstra J. K. Local improvement on discrete structures. Local Search in Combinatorial Optimization (1997) (John Wiley and Sons, Chichester, UK) 57–90Google Scholar
  • Wong R. T. A dual ascent approach for Steiner tree problems on a directed graph. Math. Programming (1984) 28:271–287CrossrefGoogle Scholar
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