Minimum-cost paths for electric cars

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An electric car equipped with a battery of a finite capacity travels on a road network with an infrastructure of charging stations. Each charging station has a possibly different cost per unit of energy. Traversing a given road segment requires a specified amount of energy that may be positive, zero or negative. The car can only traverse a road segment if it has enough charge to do so (the charge cannot drop below zero), and it cannot charge its battery beyond its capacity. To travel from one point to another the car needs to choose a travel plan consisting of a path in the network and a recharging schedule that specifies how much energy to charge at each charging station on the path, making sure of having enough energy to reach the next charging station or the destination. The cost of the plan is the total charging cost along the chosen path. We reduce the problem of computing plans between every two junctions of the network to two problems: Finding optimal energetic paths when no charging is allowed and finding standard shortest paths. When there are no negative cycles in the network, we obtain an O(n3)-time algorithm for computing all-pairs travel plans, where n is the number of junctions in the network. We obtain slightly faster algorithms under some further assumptions. We also consider the case in which a bound is placed on the number of rechargings allowed.

OriginalsprogEngelsk
Titel2024 Symposium on Simplicity in Algorithms, SOSA 2024
RedaktørerMerav Parter, Seth Pettie
ForlagSIAM
Publikationsdato2024
Sider374-382
ISBN (Elektronisk)9781713887171
StatusUdgivet - 2024
Begivenhed7th SIAM Symposium on Simplicity in Algorithms, SOSA 2024 - Alexandria, USA
Varighed: 8 jan. 202410 jan. 2024

Konference

Konference7th SIAM Symposium on Simplicity in Algorithms, SOSA 2024
LandUSA
ByAlexandria
Periode08/01/202410/01/2024

Bibliografisk note

Funding Information:
Work of Uri Zwick partially supported by grant 2854/20 of the Israeli Science Foundation. Work of Haim Kaplan partially supported by ISF grant 1595/19 and the Blavatnik family foundation. Research partially supported by a gift from Microsoft. Research supported by the VILLUM Foundation grant no. 16582.

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Copyright © 2024 by SIAM.

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