An Application of the Hungarian Algorithm to Solve Traveling Salesman Problem
Janusz Czopik
Sugar Land, USA.
DOI: 10.4236/ajcm.2019.92005   PDF    HTML     1,378 Downloads   3,678 Views   Citations

Abstract

In this paper we applicate the Hungarian algorithm for assignment problem to solve traveling salesman problem. Tree examples of application of algorithm are included.

Share and Cite:

Czopik, J. (2019) An Application of the Hungarian Algorithm to Solve Traveling Salesman Problem. American Journal of Computational Mathematics, 9, 61-67. doi: 10.4236/ajcm.2019.92005.

Conflicts of Interest

The authors declare no conflicts of interest regarding the publication of this paper.

References

[1] https://en.wikipedia.org/wiki/Travelling-salesman-problem
[2] https://en.wikipedia.org/wiki/Hungarian-algorithm
[3] https://en.wikipedia.org./wiki/Assignment-problem
[4] http://www.hungarianalgorithm.com/
[5] Kuhn, H. (1955) The Hungarian Method for the Assignment Problem. Naval Research Logistics Quarterly, 2, 83-97.
https://doi.org/10.1002/nav.3800020109
[6] Munkres, J. (1957) Algorithms for the Assignment and Transportation Problems. Journal of the Society for Industrial and Applied Mathematics, 5, 32-38.
https://doi.org/10.1137/0105003
[7] Abdulkarim, H.A. and Alshammari, I.F. (2015) Comparison of Algorithms for Solving Traveling Salesman Problem. International Journal of Engineering and Advanced Technology, 4, 76-79.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.