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Minimum cost path problem for Plug-in Hybrid Electric Vehicles

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  • Arslan, Okan
  • Yıldız, Barış
  • Karaşan, Oya Ekin

Abstract

We introduce a practically important and theoretically challenging problem: finding the minimum cost path for PHEVs in a road network with refueling and charging stations. We show that this problem is NP-complete and present a mixed integer quadratically constrained formulation, a discrete approximation dynamic programming heuristic, and a shortest path heuristic as solution methodologies. Practical applications of the problem in transportation and logistics, considering specifically the long-distance trips, are discussed in detail. Through extensive computational experiments, significant insights are provided. In addition to the charging infrastructure availability, a driver’s stopping tolerance arises as another critical factor affecting the transportation costs.

Suggested Citation

  • Arslan, Okan & Yıldız, Barış & Karaşan, Oya Ekin, 2015. "Minimum cost path problem for Plug-in Hybrid Electric Vehicles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 80(C), pages 123-141.
    • Handle: RePEc:eee:transe:v:80:y:2015:i:c:p:123-141
    DOI: 10.1016/j.tre.2015.05.011
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    8. Dongqing Zhang & Zhaoxia Guo, 2019. "On the Necessity and Effects of Considering Correlated Stochastic Speeds in Shortest Path Problems Under Sustainable Environments," Sustainability, MDPI, vol. 12(1), pages 1-14, December.
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    10. Amine Masmoudi, M. & Coelho, Leandro C. & Demir, Emrah, 2022. "Plug-in hybrid electric refuse vehicle routing problem for waste collection," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 166(C).
    11. Cantillo, Víctor & Amaya, Johanna & Serrano, Iván & Cantillo-García, Víctor & Galván, Janer, 2022. "Influencing factors of trucking companies willingness to shift to alternative fuel vehicles," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 163(C).
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    13. Bongiovanni, Claudia & Kaspi, Mor & Geroliminis, Nikolas, 2019. "The electric autonomous dial-a-ride problem," Transportation Research Part B: Methodological, Elsevier, vol. 122(C), pages 436-456.
    14. Yıldız, Barış & Olcaytu, Evren & Şen, Ahmet, 2019. "The urban recharging infrastructure design problem with stochastic demands and capacitated charging stations," Transportation Research Part B: Methodological, Elsevier, vol. 119(C), pages 22-44.
    15. Strehler, Martin & Merting, Sören & Schwan, Christian, 2017. "Energy-efficient shortest routes for electric and hybrid vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 103(C), pages 111-135.
    16. Arslan, Okan & Karaşan, Oya Ekin, 2016. "A Benders decomposition approach for the charging station location problem with plug-in hybrid electric vehicles," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 670-695.
    17. Keisuke Murakami, 2018. "Formulation and algorithms for route planning problem of plug-in hybrid electric vehicles," Operational Research, Springer, vol. 18(2), pages 497-519, July.
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    19. Maximilian Schiffer & Michael Schneider & Grit Walther & Gilbert Laporte, 2019. "Vehicle Routing and Location Routing with Intermediate Stops: A Review," Transportation Science, INFORMS, vol. 53(2), pages 319-343, March.
    20. Xu, Min & Meng, Qiang, 2020. "Optimal deployment of charging stations considering path deviation and nonlinear elastic demand," Transportation Research Part B: Methodological, Elsevier, vol. 135(C), pages 120-142.

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