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Variable Neighborhood Search for the Time-Dependent Vehicle Routing Problem with Soft Time Windows

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6683))

Abstract

In this paper we present a variable neighborhood search for time-dependent vehicle routing problems with time windows. Unlike the well-studied routing problems with constant travel times, in the time-dependent case the travel time depends on the time of the day. This assumption approaches reality, in particular for urban areas where travel times typically vary during the day, e.g., because of traffic congestion due to rush hours. An experimental evaluation for the vehicle routing problem with soft time windows with and without time-dependent travel times is performed and it is shown that taking time-dependent travel times into account provides substantial improvements of the considered objective function.

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References

  1. Bräysy, O.: A Reactive Variable Neighborhood Search for the Vehicle-Routing Problem with Time Windows. INFORMS Journal on Computing 15(4), 347–368 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  2. Bräysy, O., Gendreau, M.: Vehicle Routing Problem with Time Windows, Part I: Route Construction and Local Search Algorithms. Transportation Science 39, 104–118 (2005)

    Article  Google Scholar 

  3. Donati, A.V., Montemanni, R., Casagrande, N., Rizzoli, A.E., Gambardella, L.M.: Time dependent vehicle routing problem with a multi ant colony system. European Journal of Operational Research 185, 1174–1191 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  4. Fleischmann, B., Gietz, M., Gnutzmann, S.: Time-Varying Travel Times in Vehicle Routing. Transportation Science 38, 160–173 (2004)

    Article  Google Scholar 

  5. Hansen, P., Mladenović, N.: Variable Neighborhood Search. In: Pardalos, P.M., Resende, M.G.C. (eds.) Handbook of Applied Optimization, pp. 221–234. Oxford University Press, New York (2000)

    Google Scholar 

  6. Hansen, P., Mladenović, N.: Variable Neighborhood Search: Principles and applications. European Journal of Operational Research 130, 449–467 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  7. Hansen, P., Mladenović, N., Moreno Pérez, J.A.: Variable neighborhood search: methods and applications. Annals of Operations Research 175, 367–407 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  8. Hashimoto, H., Yagiura, M., Ibaraki, T.: An iterated local search algorithm for the time-dependent vehicle routing problem with time windows. Discrete Optimization 5, 434–456 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  9. Ichoua, S., Gendreau, M., Potvin, J.-Y.: Vehicle dispatching with time-dependent travel times. European Journal of Operational Research 144, 379–396 (2003)

    Article  MATH  Google Scholar 

  10. Malandraki, C., Daskin, M.S.: Time Dependent Vehicle Routing Problems: Formulations, Properties and Heuristic Algorithms. Transportation Science 26, 185–200 (1992)

    Article  MATH  Google Scholar 

  11. Mladenović, N., Hansen, P.: Variable Neighborhood Search. Computers & Operations Research 24, 1097–1100 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  12. Polacek, M., Doerner, K.F., Hartl, R.F., Reimann, M.: A Variable Neighborhood Search for the Multi Depot Vehicle Routing Problem with Time Windows. Journal of Heuristics 10, 613–627 (2004)

    Article  Google Scholar 

  13. Schmid, V., Doerner, K.F.: Ambulance location and relocation problems with time-dependent travel times. European Journal of Operational Research 207, 1293–1303 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  14. Soler, D., Albiach, J., Martínez, E.: A way to optimally solve a time-dependent Vehicle Routing Problem with Time Windows. Operations Research Letters 37, 37–42 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  15. Solomon, M.M.: Algorithms for the vehicle routing and scheduling problems with time constraints. Operations Research 35(2), 254–265 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  16. Taillard, E.D., Badeau, P., Gendreau, M., Potvin, J.Y.: A Tabu Search Heuristic for the Vehicle Routing Problem with Soft Time Windows. Transportation Science 31, 170–186 (1997)

    Article  MATH  Google Scholar 

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© 2011 Springer-Verlag Berlin Heidelberg

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Kritzinger, S., Tricoire, F., Doerner, K.F., Hartl, R.F. (2011). Variable Neighborhood Search for the Time-Dependent Vehicle Routing Problem with Soft Time Windows. In: Coello, C.A.C. (eds) Learning and Intelligent Optimization. LION 2011. Lecture Notes in Computer Science, vol 6683. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25566-3_5

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  • DOI: https://doi.org/10.1007/978-3-642-25566-3_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25565-6

  • Online ISBN: 978-3-642-25566-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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