Skip to main content
Book cover

LISS 2014 pp 395–400Cite as

Solving a Variant of the Hub Location-Routing Problem

  • Conference paper
  • First Online:

Abstract

We investigate a variant of the many-to-many (hub) location-routing problem, which consists in partitioning the set of vertices of a graph into cycles containing exactly one hub each, and determining an extra cycle interconnecting all hubs. A local search heuristic that considers add/remove and swap operations is developed.Also, a branch-and-cut approach that solves an integer formulation is investigated.Computational experiments on several instances adapted from literature show that our algorithms are good to deal with small to medium-sized instances.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   329.99
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

Learn about institutional subscriptions

References

  • Applegate D, Cook W, Rohe A (2003) Chained lin-kernighan for large traveling salesman problems. INFORMS J Comput 15(1):82–92

    Article  Google Scholar 

  • de Camargo RS, de Miranda G, Løkketangen A (2013) A new formulation and an exact approach for the many-to-many hub location-routing problem. Appl Math Model 37(12–13):7465–7480

    Article  Google Scholar 

  • Gomory RE, Hu TC (1961) Multi-terminal network flows. J Soc Ind Appl Math 9(4):551–570

    Article  Google Scholar 

  • Lin CC, Lin JY, Chen YC (2012) The capacitated p-hub median problem with integral constraints:an application to a chinese air cargo network. Appl Math Model 36:2777–2787

    Article  Google Scholar 

  • Lysgaard J, Letchford AN, Eglese RW (2004) A new branch-and-cut algorithm for the capacitated vehicle routing problem. Math Program 100(2):423–445 (Series A and B)

    Article  Google Scholar 

  • Nagy G, Salhi S (1998) The many-to-many location-routing problem. Top 6:261–275

    Article  Google Scholar 

  • O’Kelly ME (1987) A quadratic integer program for the location of interacting hub facilities. Eur J Oper Res 32:393–404

    Article  Google Scholar 

  • Wang Z, Lin C, Chan CK (2006) Demonstration of a single-fiber self-healing CWDM metro accessring network with unidirectional OADM. Photonics Technol Lett 18:163–165

    Article  Google Scholar 

Download references

Acknowledgements

The authors would like to thank CNPq, FAPEG and FAPESP for their financial support.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Thiago Alves de Queiroz .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Lopes, M., de Queiroz, T., de Andrade, C., Miyazawa, F. (2015). Solving a Variant of the Hub Location-Routing Problem. In: Zhang, Z., Shen, Z., Zhang, J., Zhang, R. (eds) LISS 2014. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43871-8_58

Download citation

Publish with us

Policies and ethics