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


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].


Simulated Annealing Travelling Salesman Problem Input Neuron Biological Cybernetics Learning Loop 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  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

Personalised recommendations