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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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    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.
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    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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