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Minimum Cost Path Problem for Plug-in Hybrid Electric Vehicles

Okan Arslan (okan.arslan***at***bilkent.edu.tr)
Baris Yildiz (baris.yildiz***at***bilkent.edu.tr)
Oya Ekin Karasan (karasan***at***bilkent.edu.tr)

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.

Keywords: Dynamic programming; Integer programming; Routing; Long-distance trips; Energy management

Category 1: Applications -- OR and Management Sciences

Category 2: Applications -- OR and Management Sciences (Transportation )

Category 3: Network Optimization

Citation: Transportation Research Part E: Logistics and Transportation Review, Volume 80, August 2015, Pages 123–141

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Entry Submitted: 02/04/2014
Entry Accepted: 02/04/2014
Entry Last Modified: 11/11/2015

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