Skip to main content

A GRASP with Strategic Oscillation for a Commercial Territory Design Problem with a Routing Budget Constraint

  • Conference paper
Advances in Soft Computing (MICAI 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7095))

Included in the following conference series:

Abstract

This paper addresses a commercial districting problem arising in the bottled beverage distribution industry. The problem consists of grouping a set of city blocks into territories so as to maximize territory compactness. As planning requirements, the grouping seeks to balance both number of customers and product demand across territories, maintain connectivity of territories, and limit the total cost of routing. A combinatorial optimization model for this problem is introduced. Work on commercial territory design has particularly focused on design decisions. This work is, to the best of our knowledge, the first to address both design and routing decisions simultaneously by considering a budget constraint on the total routing cost in commercial territory design. A greedy randomized adaptive search procedure that incorporates advanced features such as adaptive memory and strategic oscillation is developed. Empirical evidence over a wide set of randomly generated instances based on real-world data show a very positive impact of these advanced components. Solution quality is significantly improved as well.

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. Applegate, D., Bixby, R.E., Chvátal, V., Cook, W.: TSP Cuts Which Do Not Conform to the Template Paradigm. In: Jünger, M., Naddef, D. (eds.) Computational Combinatorial Optimization. LNCS, vol. 2241, pp. 261–304. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  2. Bozkaya, B., Erkut, E., Laporte, G.: A tabu search heuristic and adaptive memory procedure for political districting. European Journal of Operational Research 144(1), 12–26 (2003)

    Article  MATH  Google Scholar 

  3. Caro, F., Shirabe, T., Guignard, M., Weintraub, A.: School redistricting: Embedding GIS tools with integer programming. Journal of the Operational Research Society 55(8), 836–849 (2004)

    Article  MATH  Google Scholar 

  4. Duque, J.C., Ramos, R., Suriñach, J.: Supervised regionalization methods: A survey. International Regional Science Review 30(3), 195–220 (2007)

    Article  Google Scholar 

  5. Feo, T.A., Resende, M.G.C.: Greedy randomized adaptive search procedures. Journal of Global Optimization 6(2), 109–133 (1995)

    Article  MathSciNet  MATH  Google Scholar 

  6. Fernández, E.A., Kalcsics, J., Nickel, S., Ríos-Mercado, R.Z.: A novel maximum dispersion territory design model arising in the implementation of the WEEE-directive. Journal of the Operational Research Society 61(3), 503–514 (2010)

    Article  MATH  Google Scholar 

  7. Glover, F., Hao, J.K.: The case for strategic oscillation. Annals of Operations Research 183(1), 163–173 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  8. Gutin, G., Punnen, A.P. (eds.): The Traveling Salesman Problem and its Variations. Springer, New York (2002)

    MATH  Google Scholar 

  9. Haugland, D., Ho, S.C., Laporte, G.: Designing delivery district for the vehicle routing problem with stochastic demands. European Journal of Operational Research 180(3), 997–1010 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  10. Kalcsics, J., Nickel, S., Schröder, M.: Towards a unified territory design approach: Applications, algorithms, and GIS integration. TOP 13(1), 1–56 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  11. Ríos-Mercado, R.Z., Fernández, E.A.: A reactive GRASP for a commercial territory design problem with multiple balancing requirements. Computers & Operations Research 36(3), 755–776 (2009)

    Article  MATH  Google Scholar 

  12. Salazar-Aguilar, M.A., Ríos-Mercado, R.Z., Cabrera-Ríos, M.: New models for commercial territory design. Networks and Spatial Economics (Forthcoming, 2011) doi: 10.1007/s11067-010-9151-6

    Google Scholar 

  13. Salazar-Aguilar, M.A., Ríos-Mercado, R.Z., González-Velarde, J.L.: GRASP strategies for a bi-objective commercial territory design problem. Journal of Heuristics (Forthcoming, 2011), doi: 10.1007/s10732-011-9160-8

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ríos-Mercado, R.Z., Salazar-Acosta, J.C. (2011). A GRASP with Strategic Oscillation for a Commercial Territory Design Problem with a Routing Budget Constraint. In: Batyrshin, I., Sidorov, G. (eds) Advances in Soft Computing. MICAI 2011. Lecture Notes in Computer Science(), vol 7095. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25330-0_27

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-25330-0_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25329-4

  • Online ISBN: 978-3-642-25330-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics