Skip to main content

Part of the book series: Operations Research/Computer Science Interfaces Series ((ORCS,volume 29))

Abstract

In the standard version of the traveling salesman problem (TSP), we are given a set of customers located in and around a city and the distances between each pair of customers, and need to find the shortest tour that visits each customer exactly once. Suppose that some of the customers are located in the center of the city. Within a window of time, center city becomes congested so that the time to travel between customers takes longer. Clearly, we would like to construct a tour that avoids visiting customers when the center of the city is congested. This variant of the TSP is known as the time dependent TSP (TDTSP). We review the literature on the TDTSP, develop two solution algorithms, and report computational experience with our algorithms.

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover 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

  • Applegate, D., Bixby, R., Chvatal, V., and Cook, W., 1999, Finding tours in the TSP, Forschungsinstitut fur Diskrete Mathematik, Report No. 99885, Universitat Bonn; http://www.tsp.gatech.edu/papers/index.html.

    Google Scholar 

  • Applegate, D., Bixby, R., Chvatal, V., and Cook, W., 2004, Solving traveling salesman problems; http://www.math.princeton.edu/tsp/index.html.

    Google Scholar 

  • Bentner, J., Bauer, G., Obermair, G., Morgenstern, I., and Schneider, J., 2001, Optimization of the time-dependent traveling salesman problem with Monte Carlo methods, Physical Review E. 64:036701.

    Article  Google Scholar 

  • Christofides, N., Mingozzi, A., and Toth, P., 1979, The vehicle routing problem, in: Combinatorial Optimization, N. Christofides, A. Mingozzi, P. Toth, and C. Sandi, eds., John Wiley & Sons, Chichester, UK, pp. 315–338.

    Google Scholar 

  • Golden, B., Magnanti, T., and Nguyen, H., 1977, Implementing vehicle routing algorithms, Networks 7:1132–148.

    Google Scholar 

  • Johnson, D., and McGeoch, L., 1997, The traveling salesman problem: A case study in local optimization, in: Local Search in Combinatorial Optimization, E. Aarts and J. K. Lenstra, eds., Wiley, London, pp. 215–310.

    Google Scholar 

  • Junger, M., Reinelt, G., and Rinaldi, G., 1995, The traveling salesman problem, in: Network Models, M. Ball, T. Magnanti, C. Monma, and G. Nemhauser, eds., North-Holland, The Netherlands, pp. 225–330.

    Google Scholar 

  • Li, F., Golden, B., and Wasil, E., 2004, Very large-scale vehicle routing: New test problems, algorithms, and results, forthcoming in Computers & Operations Research.

    Google Scholar 

  • Reinelt, G., 2001, TSPLIB; http://www.iwr.uni-heidelberg.de/groups/comopt/software/TSPLIB95/index.html.

    Google Scholar 

  • Schneider, J., 2002, The time-dependent traveling salesman problem, Physica A. 314:151–155.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer Science+Business Media, Inc.

About this paper

Cite this paper

Li, F., Golden, B., Wasil, E. (2005). Solving the Time Dependent Traveling Salesman Problem. In: Golden, B., Raghavan, S., Wasil, E. (eds) The Next Wave in Computing, Optimization, and Decision Technologies. Operations Research/Computer Science Interfaces Series, vol 29. Springer, Boston, MA . https://doi.org/10.1007/0-387-23529-9_12

Download citation

  • DOI: https://doi.org/10.1007/0-387-23529-9_12

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-387-23528-8

  • Online ISBN: 978-0-387-23529-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics