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Lower and upper bounds for location-arc routing problems with vehicle capacity constraints

  • Hashemi Doulabi, Seyed Hossein
  • Seifi, Abbas
Registered author(s):

    This paper addresses multi-depot location arc routing problems with vehicle capacity constraints. Two mixed integer programming models are presented for single and multi-depot problems. Relaxing these formulations leads to other integer programming models whose solutions provide good lower bounds for the total cost. A powerful insertion heuristic has been developed for solving the underlying capacitated arc routing problem. This heuristic is used together with a novel location–allocation heuristic to solve the problem within a simulated annealing framework. Extensive computational results demonstrate that the proposed algorithm can find high quality solutions. We also show that the potential cost saving resulting from adding location decisions to the capacitated arc routing problem is significant.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0377221712004705
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    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 224 (2013)
    Issue (Month): 1 ()
    Pages: 189-208

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    Handle: RePEc:eee:ejores:v:224:y:2013:i:1:p:189-208
    Contact details of provider: Web page: http://www.elsevier.com/locate/eor

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    1. Ulusoy, Gunduz, 1985. "The fleet size and mix problem for capacitated arc routing," European Journal of Operational Research, Elsevier, vol. 22(3), pages 329-337, December.
    2. Haastrup, P. & Maniezzo, V. & Mattarelli, M. & Mazzeo Rinaldi, F. & Mendes, I. & Paruccini, M., 1998. "A decision support system for urban waste management," European Journal of Operational Research, Elsevier, vol. 109(2), pages 330-341, September.
    3. Aksen, Deniz & Altinkemer, Kemal, 2008. "A location-routing problem for the conversion to the "click-and-mortar" retailing: The static case," European Journal of Operational Research, Elsevier, vol. 186(2), pages 554-575, April.
    4. Barreto, Sergio & Ferreira, Carlos & Paixao, Jose & Santos, Beatriz Sousa, 2007. "Using clustering analysis in a capacitated location-routing problem," European Journal of Operational Research, Elsevier, vol. 179(3), pages 968-977, June.
    5. Mourao, Maria Candida & Amado, Ligia, 2005. "Heuristic method for a mixed capacitated arc routing problem: A refuse collection application," European Journal of Operational Research, Elsevier, vol. 160(1), pages 139-153, January.
    6. Albareda-Sambola, Maria & Fernandez, Elena & Laporte, Gilbert, 2007. "Heuristic and lower bound for a stochastic location-routing problem," European Journal of Operational Research, Elsevier, vol. 179(3), pages 940-955, June.
    7. Prodhon, Caroline, 2011. "A hybrid evolutionary algorithm for the periodic location-routing problem," European Journal of Operational Research, Elsevier, vol. 210(2), pages 204-212, April.
    8. Beullens, Patrick & Muyldermans, Luc & Cattrysse, Dirk & Van Oudheusden, Dirk, 2003. "A guided local search heuristic for the capacitated arc routing problem," European Journal of Operational Research, Elsevier, vol. 147(3), pages 629-643, June.
    9. Mourao, M. Candida & Almeida, M. Teresa, 2000. "Lower-bounding and heuristic methods for a refuse collection vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 121(2), pages 420-434, March.
    10. Nagy, Gabor & Salhi, Said, 2007. "Location-routing: Issues, models and methods," European Journal of Operational Research, Elsevier, vol. 177(2), pages 649-672, March.
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