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Mathematical Formulation and Comparison of Solution Approaches for the Vehicle Routing Problem with Access Time Windows

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  • Rafael Grosso
  • Jesús Muñuzuri
  • Alejandro Escudero-Santana
  • Elena Barbadilla-Martín

Abstract

The application of the principles of sustainability to the implementation of urban freight policies requires the estimation of all the costs and externalities involved. We focus here on the case of access time windows, which ban the access of freight vehicles to central urban areas in many European cities. Even though this measure seeks to reduce congestion and emissions in the most crowded periods of the day, it also imposes additional costs for carriers and results in higher emissions and energy consumption. We present here a mathematical model for the Vehicle Routing Problem with Access Time Windows, a variant of the VRP suitable for planning delivery routes in a city subject to this type of accessibility restriction. We use the model to find exact solutions to small problem instances based on a case study and then compare the performance over larger instances of a modified savings algorithm, a genetic algorithm, and a tabu search procedure, with the results showing no clear prevalence of any of them, but confirming the significance of those additional costs and externalities.

Suggested Citation

  • Rafael Grosso & Jesús Muñuzuri & Alejandro Escudero-Santana & Elena Barbadilla-Martín, 2018. "Mathematical Formulation and Comparison of Solution Approaches for the Vehicle Routing Problem with Access Time Windows," Complexity, Hindawi, vol. 2018, pages 1-10, February.
    • Handle: RePEc:hin:complx:4621694
    DOI: 10.1155/2018/4621694
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    1. Ehmke, Jan Fabian & Campbell, Ann Melissa & Thomas, Barrett W., 2016. "Vehicle routing to minimize time-dependent emissions in urban areas," European Journal of Operational Research, Elsevier, vol. 251(2), pages 478-494.
    2. Thibaut Vidal & Teodor Gabriel Crainic & Michel Gendreau & Nadia Lahrichi & Walter Rei, 2012. "A Hybrid Genetic Algorithm for Multidepot and Periodic Vehicle Routing Problems," Operations Research, INFORMS, vol. 60(3), pages 611-624, June.
    3. Stathopoulos, Amanda & Valeri, Eva & Marcucci, Edoardo, 2012. "Stakeholder reactions to urban freight policy innovation," Journal of Transport Geography, Elsevier, vol. 22(C), pages 34-45.
    4. Andres Figliozzi, Miguel, 2012. "The time dependent vehicle routing problem with time windows: Benchmark problems, an efficient solution algorithm, and solution characteristics," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(3), pages 616-636.
    5. Qian, Jiani & Eglese, Richard, 2016. "Fuel emissions optimization in vehicle routing problems with time-varying speeds," European Journal of Operational Research, Elsevier, vol. 248(3), pages 840-848.
    6. Jan Fabian Ehmke, 2012. "Routing in City Logistics," International Series in Operations Research & Management Science, in: Integration of Information and Optimization Models for Routing in City Logistics, edition 127, chapter 0, pages 119-156, Springer.
    7. H. J. (Hans) Quak & M. (René) B. M. de Koster, 2009. "Delivering Goods in Urban Areas: How to Deal with Urban Policy Restrictions and the Environment," Transportation Science, INFORMS, vol. 43(2), pages 211-227, May.
    8. Dablanc, Laetitia, 2007. "Goods transport in large European cities: Difficult to organize, difficult to modernize," Transportation Research Part A: Policy and Practice, Elsevier, vol. 41(3), pages 280-285, March.
    9. Diego Cattaruzza & Nabil Absi & Dominique Feillet & Jesús González-Feliu, 2017. "Vehicle routing problems for city logistics," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 6(1), pages 51-79, March.
    10. Cattaruzza, Diego & Absi, Nabil & Feillet, Dominique & Vidal, Thibaut, 2014. "A memetic algorithm for the Multi Trip Vehicle Routing Problem," European Journal of Operational Research, Elsevier, vol. 236(3), pages 833-848.
    11. Pillac, Victor & Gendreau, Michel & Guéret, Christelle & Medaglia, Andrés L., 2013. "A review of dynamic vehicle routing problems," European Journal of Operational Research, Elsevier, vol. 225(1), pages 1-11.
    12. Vidal, Thibaut & Crainic, Teodor Gabriel & Gendreau, Michel & Prins, Christian, 2013. "Heuristics for multi-attribute vehicle routing problems: A survey and synthesis," European Journal of Operational Research, Elsevier, vol. 231(1), pages 1-21.
    13. Chang, Tsung-Sheng & Yen, Hui-Mei, 2012. "City-courier routing and scheduling problems," European Journal of Operational Research, Elsevier, vol. 223(2), pages 489-498.
    14. Amanda Stathopoulos & Eva Valeri & Edoardo Marcucci & Edourdo Marcucci & Valerio Gatti & Agostino Nuzzolo, 2011. "Urban Freight Policy Innovation for Rome’s LTZ: A Stakeholder Perspective," Chapters, in: Cathy Macharis & Sandra Melo (ed.), City Distribution and Urban Freight Transport, chapter 4, Edward Elgar Publishing.
    15. Martin W. P. Savelsbergh, 1992. "The Vehicle Routing Problem with Time Windows: Minimizing Route Duration," INFORMS Journal on Computing, INFORMS, vol. 4(2), pages 146-154, May.
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