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The Hybrid Electric Vehicle—Traveling Salesman Problem with time windows

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  • Doppstadt, Christian
  • Koberstein, Achim
  • Vigo, Daniele

Abstract

In this paper, we extend the Hybrid Electric Vehicle – Traveling Salesman Problem (HEV-TSP) that deploys hybrid electric vehicles for customer delivery tours, by considering that customers must be served within given time windows. This feature makes the problem very difficult to solve. We developed a Variable Neighborhood Search based heuristic solution method, which is able to handle hybrid electric vehicle problems with a realistic number of customers. We introduce a large set of benchmark instances, representing typical delivery areas for small package shipping companies. Exact solutions for instances with a small number of customers are calculated by formulating the problem as an integer linear program and solving the instances with the standard solver CPLEX. The proposed heuristic achieves optimal solutions on the small and good quality solutions on larger instances. Furthermore, the results show that the profitability of hybrid electric vehicles highly depends on the structure of the delivery area and the number of customers to serve. Therefore, our heuristic does not only serve to support decision makers in the daily tour planning, but also in the evaluation of the profitability of hybrid electric vehicles for a specific delivery area structure.

Suggested Citation

  • Doppstadt, Christian & Koberstein, Achim & Vigo, Daniele, 2020. "The Hybrid Electric Vehicle—Traveling Salesman Problem with time windows," European Journal of Operational Research, Elsevier, vol. 284(2), pages 675-692.
    • Handle: RePEc:eee:ejores:v:284:y:2020:i:2:p:675-692
    DOI: 10.1016/j.ejor.2019.12.031
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    References listed on IDEAS

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    1. Pierre Hansen & Nenad Mladenović & José Moreno Pérez, 2010. "Variable neighbourhood search: methods and applications," Annals of Operations Research, Springer, vol. 175(1), pages 367-407, March.
    2. Michael Schneider & Andreas Stenger & Dominik Goeke, 2014. "The Electric Vehicle-Routing Problem with Time Windows and Recharging Stations," Transportation Science, INFORMS, vol. 48(4), pages 500-520, November.
    3. Jeffrey W. Ohlmann & Barrett W. Thomas, 2007. "A Compressed-Annealing Heuristic for the Traveling Salesman Problem with Time Windows," INFORMS Journal on Computing, INFORMS, vol. 19(1), pages 80-90, February.
    4. Guy Desaulniers & Fausto Errico & Stefan Irnich & Michael Schneider, 2016. "Exact Algorithms for Electric Vehicle-Routing Problems with Time Windows," Operations Research, INFORMS, vol. 64(6), pages 1388-1405, December.
    5. Schneider, M. & Stenger, A. & Goeke, D., 2014. "The Electric Vehicle Routing Problem with Time Windows and Recharging Stations," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 62382, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    6. Doppstadt, C. & Koberstein, A. & Vigo, D., 2016. "The Hybrid Electric Vehicle – Traveling Salesman Problem," European Journal of Operational Research, Elsevier, vol. 253(3), pages 825-842.
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    Cited by:

    1. Diaz-Cachinero, Pablo & Muñoz-Hernandez, Jose Ignacio & Contreras, Javier, 2021. "Integrated operational planning model, considering optimal delivery routing, incentives and electric vehicle aggregated demand management," Applied Energy, Elsevier, vol. 304(C).
    2. Seyfi, Majid & Alinaghian, Mahdi & Ghorbani, Erfan & Çatay, Bülent & Saeid Sabbagh, Mohammad, 2022. "Multi-mode hybrid electric vehicle routing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 166(C).
    3. Erfan Ghorbani & Mahdi Alinaghian & Gevork. B. Gharehpetian & Sajad Mohammadi & Guido Perboli, 2020. "A Survey on Environmentally Friendly Vehicle Routing Problem and a Proposal of Its Classification," Sustainability, MDPI, vol. 12(21), pages 1-71, October.

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