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A transformation for the mixed general routing problem with turn penalties

Author

Listed:
  • D Soler

    (Universidad Politécnica de Valencia)

  • E Martínez

    (Universidad Politécnica de Valencia)

  • J C Micó

    (Universidad Politécnica de Valencia)

Abstract

In this paper, we study a generalization of the Mixed General Routing Problem (MGRP) with turn penalties and forbidden turns. Thus, we present a unified model of this kind of extended versions for both node- and arc-routing problems with a single vehicle. We provide a polynomial transformation of this generalization into an asymmetric travelling salesman problem, which can be considered a particular case of the MGRP. We show computational results on the exact resolution on a set of 128 instances of the new problem using a recently developed code for the MGRP.

Suggested Citation

  • D Soler & E Martínez & J C Micó, 2008. "A transformation for the mixed general routing problem with turn penalties," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(4), pages 540-547, April.
    • Handle: RePEc:pal:jorsoc:v:59:y:2008:i:4:d:10.1057_palgrave.jors.2602385
    DOI: 10.1057/palgrave.jors.2602385
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    References listed on IDEAS

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    1. Angel Corberán & Gustavo Mejía & José M. Sanchis, 2005. "New Results on the Mixed General Routing Problem," Operations Research, INFORMS, vol. 53(2), pages 363-376, April.
    2. J Clossey & G Laporte & P Soriano, 2001. "Solving arc routing problems with turn penalties," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(4), pages 433-439, April.
    3. Matteo Fischetti & Paolo Toth, 1997. "A Polyhedral Approach to the Asymmetric Traveling Salesman Problem," Management Science, INFORMS, vol. 43(11), pages 1520-1536, November.
    4. Lacomme, Philippe & Prins, Christian & Ramdane-Cherif, Wahiba, 2005. "Evolutionary algorithms for periodic arc routing problems," European Journal of Operational Research, Elsevier, vol. 165(2), pages 535-553, September.
    5. Enrique Benavent & David Soler, 1999. "The Directed Rural Postman Problem with Turn Penalties," Transportation Science, INFORMS, vol. 33(4), pages 408-418, November.
    6. M Blais & G Laporte, 2003. "Exact solution of the generalized routing problem through graph transformations," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(8), pages 906-910, August.
    7. Philippe Lacomme & Christian Prins & Wahiba Ramdane-Cherif, 2004. "Competitive Memetic Algorithms for Arc Routing Problems," Annals of Operations Research, Springer, vol. 131(1), pages 159-185, October.
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