We consider a shortest path problem, where the travel times on the arcs may vary with time and waiting at any node is allowed. Simple adaptations of the Dijkstra algorithm may fail to solve the problem, when discontinuities exist. We propose a new Dijkstra-like algorithm that overcomes these difficulties.
Shortest Paths in Piecewise Continuous Time-Dependent Networks / Dell'Amico, Mauro; Iori, Manuel; Pretolani, Daniele. - In: OPERATIONS RESEARCH LETTERS. - ISSN 0167-6377. - STAMPA. - 36(6):(2008), pp. 688-691. [10.1016/j.orl.2008.07.002]
Shortest Paths in Piecewise Continuous Time-Dependent Networks
DELL'AMICO, Mauro;IORI, MANUEL;PRETOLANI, Daniele
2008
Abstract
We consider a shortest path problem, where the travel times on the arcs may vary with time and waiting at any node is allowed. Simple adaptations of the Dijkstra algorithm may fail to solve the problem, when discontinuities exist. We propose a new Dijkstra-like algorithm that overcomes these difficulties.
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