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Column generation based heuristics for a generalized location routing problem with profits arising in space exploration

Listed author(s):
  • Ahn, Jaemyung
  • de Weck, Olivier
  • Geng, Yue
  • Klabjan, Diego
Registered author(s):

    The generalized location routing problem with profits is a new routing problem class that combines the vehicle routing problem with profits, depot or base selection, and the notion of strategies and route tactics to be employed at selected bases. The problem simultaneously determines base locations, strategies to use at the bases, sites to visit, and routes to carry out the visits, to maximize the sum of profits that can be obtained by visiting sites, under resource consumption constraints. The problem arises in exploration of planetary bodies where strategies correspond to different technologies. A description of the generalized location routing problem with profits and its mathematical formulation as an integer program are provided. Two solution methodologies to solve the problem – branch-and-price and a three-phase heuristic method combined with a generalized randomized adaptive search procedure – are proposed. Numerical experiments for the two solution methodologies are carried out. Their performance in terms of computation time and optimality gap are analyzed and compared to establish the problem characteristics, indicating which method is more advantageous.

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    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 223 (2012)
    Issue (Month): 1 ()
    Pages: 47-59

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    Handle: RePEc:eee:ejores:v:223:y:2012:i:1:p:47-59
    DOI: 10.1016/j.ejor.2012.06.018
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    1. Nagy, Gabor & Salhi, Said, 2007. "Location-routing: Issues, models and methods," European Journal of Operational Research, Elsevier, vol. 177(2), pages 649-672, March.
    2. Karaoglan, Ismail & Altiparmak, Fulya & Kara, Imdat & Dengiz, Berna, 2011. "A branch and cut algorithm for the location-routing problem with simultaneous pickup and delivery," European Journal of Operational Research, Elsevier, vol. 211(2), pages 318-332, June.
    3. K.S. Al‐Sultan & M.A. Al‐Fawzan, 1999. "A tabu search approach to the uncapacitated facility location problem," Annals of Operations Research, Springer, vol. 86(0), pages 91-103, January.
    4. Mina, Hokey & Jayaraman, Vaidyanathan & Srivastava, Rajesh, 1998. "Combined location-routing problems: A synthesis and future research directions," European Journal of Operational Research, Elsevier, vol. 108(1), pages 1-15, July.
    5. Vansteenwegen, Pieter & Souffriau, Wouter & Oudheusden, Dirk Van, 2011. "The orienteering problem: A survey," European Journal of Operational Research, Elsevier, vol. 209(1), pages 1-10, February.
    6. Chao, I-Ming & Golden, Bruce L. & Wasil, Edward A., 1996. "The team orienteering problem," European Journal of Operational Research, Elsevier, vol. 88(3), pages 464-474, February.
    7. Laporte, Gilbert & Louveaux, Francois & Mercure, Helene, 1989. "Models and exact solutions for a class of stochastic location-routing problems," European Journal of Operational Research, Elsevier, vol. 39(1), pages 71-78, March.
    8. Tuzun, Dilek & Burke, Laura I., 1999. "A two-phase tabu search approach to the location routing problem," European Journal of Operational Research, Elsevier, vol. 116(1), pages 87-99, July.
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