Skip to main content

Backtracking Ant System for the Traveling Salesman Problem

  • Conference paper
Ant Colony Optimization and Swarm Intelligence (ANTS 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3172))

Abstract

In this work, we adopt the concept of backtracking from the Nested Partition (NP) algorithm and apply it to the Max-Min Ant System (MMAS) to solve the Traveling Salesman Problem (TSP). A new type of ants that is called backtracking ants (BA) is used to challenge a subset of the solution feasible space that is expected to have the global optimum solution. The size of this subset is decreased if the BAs find a better solution out of this subset or increased if the BAs fail in their challenge. The BAs don’t have to generate full tours like previous ant systems, which leads to a considerable reduction in the computation effort. A computational experiment is conducted to check the validity of the proposed algorithm.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Al-Shihabi, S.: Ants for sampling in the nested partition algorithm. In: Blum, C., Roli, A., Sampels, M. (eds.) Proceedings of the 1st International Workshop on Hybrid Metaheuristics, pp. 11–18 (2004)

    Google Scholar 

  2. Dorigo, M., Maniezzo, V., Colorni, A.: The ant system: Optimization by a colony of cooperating agents. IEEE Transactions on Systems, Man and Cybernetics-Part B 26, 29–42 (1996)

    Article  Google Scholar 

  3. Dorigo, M., Gambardella, L.: Ant colony system: A cooperative learning approach to the traveling salesman problem. IEEE Transactions on Evolutionary Computation 1, 53–66 (1997)

    Article  Google Scholar 

  4. Lawler, E., Lenstra, A., Kan, R., Shmoys, D.: The traveling salesman problem. John Wiley & Sons, Chichester (1985)

    MATH  Google Scholar 

  5. Shi, L., Ólafsson, S.: An integrated framework for determistic and stochastic optimization. In: Proceedings of the 1997 Winter Simulation Conference, pp. 358–365 (1997)

    Google Scholar 

  6. Shi, L., Ólafsson, S.: New parallel randomized algorithms for the traveling salesman problem. Computers & Operations Research 26, 371–394 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  7. Shi, L., Ólafsson, S.: Nested partition method for global optimization. Operations Research 48, 390–407 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  8. Stützle, T., Hoos, H.: Max-Min ant system. Future Generation Computer Systems 18, 889–914 (2000)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Al-Shihabi, S. (2004). Backtracking Ant System for the Traveling Salesman Problem. In: Dorigo, M., Birattari, M., Blum, C., Gambardella, L.M., Mondada, F., StĂĽtzle, T. (eds) Ant Colony Optimization and Swarm Intelligence. ANTS 2004. Lecture Notes in Computer Science, vol 3172. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28646-2_30

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-28646-2_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22672-7

  • Online ISBN: 978-3-540-28646-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics