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Local improvement in planar facility location using vehicle routing

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  • Saïd Salhi
  • Gábor Nagy

Abstract

In physical distribution the location of depots and vehicle routes are interdependent problems, but they are usually treated independently. Location-routing is the study of solving locational problems such that routing considerations are taken into account. We present an iterative heuristic for the location-routing problem on the plane. For each depot the Weber problem is solved using the end-points of the routes found previously as input nodes to the Weiszfeld procedure. Although the improvements found are usually small they show that it pays not to ignore the routing aspects when solving continuous location problems. Possible research avenues in continuous location-routing will also be suggested. Copyright Springer Science+Business Media, LLC 2009

Suggested Citation

  • Saïd Salhi & Gábor Nagy, 2009. "Local improvement in planar facility location using vehicle routing," Annals of Operations Research, Springer, vol. 167(1), pages 287-296, March.
    • Handle: RePEc:spr:annopr:v:167:y:2009:i:1:p:287-296:10.1007/s10479-007-0223-z
    DOI: 10.1007/s10479-007-0223-z
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Menezes, Mozart B.C. & Ruiz-Hernández, Diego & Verter, Vedat, 2016. "A rough-cut approach for evaluating location-routing decisions via approximation algorithms," Transportation Research Part B: Methodological, Elsevier, vol. 87(C), pages 89-106.
    2. Drexl, Michael & Schneider, Michael, 2015. "A survey of variants and extensions of the location-routing problem," European Journal of Operational Research, Elsevier, vol. 241(2), pages 283-308.
    3. Vichitkunakorn, Panupong & Emde, Simon & Masae, Makusee & Glock, Christoph H. & Grosse, Eric H., 2024. "Locating charging stations and routing drones for efficient automated stocktaking," European Journal of Operational Research, Elsevier, vol. 316(3), pages 1129-1145.
    4. Emre Tokgöz & Samir Alwazzi & Theodore Trafalis, 2015. "A heuristic algorithm to solve the single-facility location routing problem on Riemannian surfaces," Computational Management Science, Springer, vol. 12(3), pages 397-415, July.
    5. Zhu Jianming, 2014. "Non-linear Integer Programming Model and Algorithms for Connected p-facility Location Problem," Journal of Systems Science and Information, De Gruyter, vol. 2(5), pages 451-460, October.
    6. Chandra Ade Irawan & Martino Luis & Said Salhi & Arif Imran, 2019. "The incorporation of fixed cost and multilevel capacities into the discrete and continuous single source capacitated facility location problem," Annals of Operations Research, Springer, vol. 275(2), pages 367-392, April.
    7. Walid Klibi & Francis Lasalle & Alain Martel & Soumia Ichoua, 2010. "The Stochastic Multiperiod Location Transportation Problem," Transportation Science, INFORMS, vol. 44(2), pages 221-237, May.
    8. Chandra Ade Irawan & Said Salhi & Kusmaningrum Soemadi, 2020. "The continuous single-source capacitated multi-facility Weber problem with setup costs: formulation and solution methods," Journal of Global Optimization, Springer, vol. 78(2), pages 271-294, October.
    9. Turkensteen, Marcel & Klose, Andreas, 2012. "Demand dispersion and logistics costs in one-to-many distribution systems," European Journal of Operational Research, Elsevier, vol. 223(2), pages 499-507.

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