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Motivated by the increasing popularity of electric vehicles (EV) and a lack of charging stations in the road network, we study the shortest path hitting set (SPHS) problem. Roughly speaking, given an input graph G, the goal is to compute a small-size subset H of vertices of G such that by placing charging stations at vertices in H, every shortest path in G becomes EV-feasible, i.e., an EV can travel between any two vertices of G through the shortest path with a full charge. In this paper, we propose a bi-criteria approximation algorithm with running time near-linear in the size of G that has a logarithmic approximation on |H| and may require the EV to slightly deviate from the shortest path. We also present a data structure for computing an EV-feasible path between two query vertices of G.
@InProceedings{agarwal_et_al:LIPIcs.ISAAC.2016.7,
author = {Agarwal, Pankaj K. and Pan, Jiangwei and Victor, Will},
title = {{An Efficient Algorithm for Placing Electric Vehicle Charging Stations}},
booktitle = {27th International Symposium on Algorithms and Computation (ISAAC 2016)},
pages = {7:1--7:12},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-026-2},
ISSN = {1868-8969},
year = {2016},
volume = {64},
editor = {Hong, Seok-Hee},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ISAAC.2016.7},
URN = {urn:nbn:de:0030-drops-67782},
doi = {10.4230/LIPIcs.ISAAC.2016.7},
annote = {Keywords: Shortest path hitting set, Charging station placement, Electric vehicle}
}