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Solving arc routing problems with turn penalties

Author

Listed:
  • J Clossey

    (GERAD and École des Hautes Études Commerciales)

  • G Laporte

    (GERAD and École des Hautes Études Commerciales)

  • P Soriano

    (GERAD and École des Hautes Études Commerciales)

Abstract

In several arc routing problems, it is necessary to take turn penalties into account when designing a solution. Traditionally, this is done through a transformation of the arc routing problem into an equivalent vertex routing problem. In this paper it is shown that a more direct approach, not resorting to such a transformation, may be more efficient.

Suggested Citation

  • 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.
    • Handle: RePEc:pal:jorsoc:v:52:y:2001:i:4:d:10.1057_palgrave.jors.2601052
    DOI: 10.1057/palgrave.jors.2601052
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    Citations

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    Cited by:

    1. Vidal, Thibaut & Laporte, Gilbert & Matl, Piotr, 2020. "A concise guide to existing and emerging vehicle routing problem variants," European Journal of Operational Research, Elsevier, vol. 286(2), pages 401-416.
    2. Debdatta Sinha Roy & Adriano Masone & Bruce Golden & Edward Wasil, 2021. "Modeling and Solving the Intersection Inspection Rural Postman Problem," INFORMS Journal on Computing, INFORMS, vol. 33(3), pages 1245-1257, July.
    3. Cerrone, Carmine & Dussault, Benjamin & Wang, Xingyin & Golden, Bruce & Wasil, Edward, 2019. "A two-stage solution approach for the Directed Rural Postman Problem with Turn Penalties," European Journal of Operational Research, Elsevier, vol. 272(2), pages 754-765.
    4. Kampars Janis & Shmite Elina, 2014. "STORN: Solution to Traversal of Road Networks/ RCTI: izbraucama ceļu tīkla risinājums/ РПДС: Решение дорожных сетей для проезда," Information Technology and Management Science, Sciendo, vol. 17(1), pages 74-80, December.
    5. Irnich, Stefan, 2008. "Solution of real-world postman problems," European Journal of Operational Research, Elsevier, vol. 190(1), pages 52-67, October.
    6. J Euchi & H Chabchoub, 2011. "Hybrid metaheuristics for the profitable arc tour problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(11), pages 2013-2022, November.
    7. 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.
    8. R Baldacci & E Bartolini & G Laporte, 2010. "Some applications of the generalized vehicle routing problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(7), pages 1072-1077, July.
    9. Elena Fernández & Gilbert Laporte & Jessica Rodríguez-Pereira, 2019. "Exact Solution of Several Families of Location-Arc Routing Problems," Transportation Science, INFORMS, vol. 53(5), pages 1313-1333, September.
    10. H-J Kim & Y-D Kim & D-H Lee, 2005. "Scheduling for an arc-welding robot considering heat-caused distortion," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(1), pages 39-50, January.
    11. Ari, Ibrahim & Aksakalli, Vural & Aydogˇdu, Volkan & Kum, Serdar, 2013. "Optimal ship navigation with safety distance and realistic turn constraints," European Journal of Operational Research, Elsevier, vol. 229(3), pages 707-717.
    12. Santos, Luís & Coutinho-Rodrigues, João & Current, John R., 2010. "An improved ant colony optimization based algorithm for the capacitated arc routing problem," Transportation Research Part B: Methodological, Elsevier, vol. 44(2), pages 246-266, February.
    13. Michael Drexl, 2012. "Synchronization in Vehicle Routing---A Survey of VRPs with Multiple Synchronization Constraints," Transportation Science, INFORMS, vol. 46(3), pages 297-316, August.
    14. Kaj Holmberg, 2019. "The (Over)zealous Snow Remover Problem," Transportation Science, INFORMS, vol. 53(3), pages 867-881, May.
    15. Eliécer Gutiérrez & Andrés Medaglia, 2008. "Labeling algorithm for the shortest path problem with turn prohibitions with application to large-scale road networks," Annals of Operations Research, Springer, vol. 157(1), pages 169-182, January.

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