Abstract
In this paper, we address the routing and recharging problem for electric vehicles, where charging nodes have heterogeneous prices and waiting times, and the objective is to minimize the total recharging cost. We prove that the problem is NP-hard and propose two algorithms to solve it. The first, is an algorithm which obtains the optimal solution in pseudo-polynomial time. The second, is a polynomial time algorithm that obtains a solution with the total cost of recharging not greater than the optimal cost for a more constrained instance of the problem with the maximum waiting time of \((1-\epsilon ) \cdot W\), where W is the maximum allowable waiting time.
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This research was supported in part by the US National Science Foundation under grant no. IIS-1724227.
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Bahreini, T., Fisher, N., Grosu, D. (2020). An Efficient Algorithm for Routing and Recharging of Electric Vehicles. In: Wu, W., Zhang, Z. (eds) Combinatorial Optimization and Applications. COCOA 2020. Lecture Notes in Computer Science(), vol 12577. Springer, Cham. https://doi.org/10.1007/978-3-030-64843-5_48
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DOI: https://doi.org/10.1007/978-3-030-64843-5_48
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