Shortest paths algorithms: theory and experimental evaluation
Mathematical Programming: Series A and B
A Note on Dijkstra's Shortest Path Algorithm
Journal of the ACM (JACM)
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Contraction hierarchies: faster and simpler hierarchical routing in road networks
WEA'08 Proceedings of the 7th international conference on Experimental algorithms
Highway hierarchies hasten exact shortest path queries
ESA'05 Proceedings of the 13th annual European conference on Algorithms
Energy-optimal routes for electric vehicles
Proceedings of the 21st ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems
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Electric vehicles (EV) powered by batteries will play a significant role in the road traffic of the future. The unique characteristics of such EVs - limited cruising range, long recharge times, and the ability to regain energy during deceleration - require novel routing algorithms, since the task is now to determine the most economical route rather than just the shortest one. This paper proposes extensions to general shortestpath algorithms that address the problem of energy-optimal routing. Specifically, we (i) formalize energy-efficient routing in the presence of rechargeable batteries as a special case of the constrained shortest path problem (CSPP) with hard and soft constraints, and (ii) present an adaption of a general shortest path algorithm (using an energy graph, i.e., a graph with a weight function representing the energy consumption) that respects the given constraints and has a worst case complexity of O(n3). The presented algorithms have been implemented and evaluated within a prototypic navigation system for energy-efficient routing.