ICANN ’94 pp 358-361 | Cite as

A Self-Organising Neural Network for the Travelling Salesman Problem that is Competitive with Simulated Annealing

  • Marco Budinich
Conference paper

Abstract

The Travelling Salesman Problem (TSP) has been studied for long times (see e.g. [2]) and, as for all NP-complete problems, all exact solutions take a time that can grow exponentially with the number of cities. Many heuristic algorithms exist for practical instances [3].

Keywords

Assure Erwin 

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References

  1. [1]
    Durbin R. and Willshaw D., Nature 336 1987 pp. 689–691;CrossRefGoogle Scholar
  2. [2]
    Lawler E.L., Lenstra J.K., Rinooy Khan A.G. and Shmoys D.B. (editors), The Traveling Salesman Problem, 1985 J. Wiley New York;MATHGoogle Scholar
  3. [3]
    Johnson D., in: Proceedings of the 17 th Colloquium on Automata, Languages and Programming, 1990 Springer-Verlag New York, pp. 446–461;CrossRefGoogle Scholar
  4. [4]
    Von der Malsburg Ch., Kybernetik 14 1973 pp. 85–100;CrossRefGoogle Scholar
  5. [5]
    Kohonen T., Self-Organisation and Associative Memory, 1984 (3rd Ed. 1989) Springer-Verlag Berlin Heidelberg;Google Scholar
  6. [6]
    Angéniol B., de La Croix Vaubois G. and Le Texier J.-Y., Neural Networks 1 1988 pp. 289–293;CrossRefGoogle Scholar
  7. [7]
    Favata F. and Walker R., Biological Cybernetics 64 1991 pp.463–468;CrossRefMATHGoogle Scholar
  8. [8]
    Kirkpatrick S., Gelatt C.D. Jr and Vecchi M.P., Science 220 13 May 1983 pp. 671–680;CrossRefMATHMathSciNetGoogle Scholar
  9. [9]
    Müller B. and Reinhardt J., Neural Networks, 1990 Springer-Verlag Berlin Heidelberg;MATHGoogle Scholar
  10. [10]
    Lin S. and Kernigham B.W., Oper. Res. 21 1973 pp. 498–516;CrossRefMATHGoogle Scholar
  11. [11]
    The first algorithm of this kind was introduced by: Hopfield J.J. and Tank D.W., “Neural” Computation of Decisions in Optimization Problems, Biological Cybernetics 52 (1985) pp. 141–152;MATHMathSciNetGoogle Scholar
  12. [12]
    Erwin E., Obermayer K. and Schulten K., Biological Cybernetics 67 (1992) pp. 47–55;CrossRefMATHGoogle Scholar
  13. [13]
    M. Budinich and J. G. Taylor in preparation.Google Scholar

Copyright information

© Springer-Verlag London Limited 1994

Authors and Affiliations

  • Marco Budinich
    • 1
  1. 1.Centre for Neural NetworksKing’s College LondonUK

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