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An asymmetric TSP with time windows and with time-dependent travel times and costs: An exact solution through a graph transformation

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  • Albiach, José
  • Sanchis, José Marí­a
  • Soler, David

Abstract

In this paper we deal with an extended version of the Asymmetric Traveling Salesman Problem with Time Windows (ATSPTW) that considers time-dependent travel times and costs, for a more accurate approximation of some routing problems inside large cities, in which the time or cost of traversing certain streets (e.g. main avenues) depends on the moment of the day (for example rush-hours). Unlike other existing papers about time-dependent routing problems, we focus on an exact method for solving this new problem. For this end we first transform the problem into an Asymmetric Generalized TSP and then into a Graphical Asymmetric TSP. In this way, we can apply a known exact algorithm for the Mixed General Routing Problem, which seems to run well with our resulting instances. Computational results are presented on a set of 270 adapted instances from benchmark ATSPTW instances.

Suggested Citation

  • Albiach, José & Sanchis, José Marí­a & Soler, David, 2008. "An asymmetric TSP with time windows and with time-dependent travel times and costs: An exact solution through a graph transformation," European Journal of Operational Research, Elsevier, vol. 189(3), pages 789-802, September.
    • Handle: RePEc:eee:ejores:v:189:y:2008:i:3:p:789-802
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    1. Gilles Pesant & Michel Gendreau & Jean-Yves Potvin & Jean-Marc Rousseau, 1998. "An Exact Constraint Logic Programming Algorithm for the Traveling Salesman Problem with Time Windows," Transportation Science, INFORMS, vol. 32(1), pages 12-29, February.
    2. Michel Gendreau & Alain Hertz & Gilbert Laporte & Mihnea Stan, 1998. "A Generalized Insertion Heuristic for the Traveling Salesman Problem with Time Windows," Operations Research, INFORMS, vol. 46(3), pages 330-335, June.
    3. Bernhard Fleischmann & Martin Gietz & Stefan Gnutzmann, 2004. "Time-Varying Travel Times in Vehicle Routing," Transportation Science, INFORMS, vol. 38(2), pages 160-173, May.
    4. Chryssi Malandraki & Mark S. Daskin, 1992. "Time Dependent Vehicle Routing Problems: Formulations, Properties and Heuristic Algorithms," Transportation Science, INFORMS, vol. 26(3), pages 185-200, August.
    5. Guy Desaulniers & Daniel Villeneuve, 2000. "The Shortest Path Problem with Time Windows and Linear Waiting Costs," Transportation Science, INFORMS, vol. 34(3), pages 312-319, August.
    6. Enrique Benavent & David Soler, 1999. "The Directed Rural Postman Problem with Turn Penalties," Transportation Science, INFORMS, vol. 33(4), pages 408-418, November.
    7. Ichoua, Soumia & Gendreau, Michel & Potvin, Jean-Yves, 2003. "Vehicle dispatching with time-dependent travel times," European Journal of Operational Research, Elsevier, vol. 144(2), pages 379-396, January.
    8. 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.
    9. Filippo Focacci & Andrea Lodi & Michela Milano, 2002. "A Hybrid Exact Algorithm for the TSPTW," INFORMS Journal on Computing, INFORMS, vol. 14(4), pages 403-417, November.
    10. Malandraki, Chryssi & Dial, Robert B., 1996. "A restricted dynamic programming heuristic algorithm for the time dependent traveling salesman problem," European Journal of Operational Research, Elsevier, vol. 90(1), pages 45-55, April.
    11. Matteo Fischetti & Paolo Toth, 1997. "A Polyhedral Approach to the Asymmetric Traveling Salesman Problem," Management Science, INFORMS, vol. 43(11), pages 1520-1536, November.
    12. Yvan Dumas & Jacques Desrosiers & Eric Gelinas & Marius M. Solomon, 1995. "An Optimal Algorithm for the Traveling Salesman Problem with Time Windows," Operations Research, INFORMS, vol. 43(2), pages 367-371, April.
    13. Roberto Wolfler Calvo, 2000. "A New Heuristic for the Traveling Salesman Problem with Time Windows," Transportation Science, INFORMS, vol. 34(1), pages 113-124, February.
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