Ranking multiobjective shortest paths

This paper is concerned with the ranking of multi-objective shortest paths accordingly to an order relation verifying certain conditions such is the case, for instance, of the lexicographic order. We present a new labelling algorithm that makes use of shortest deviation paths for obtaining the set o...

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Bibliographic Details
Main Author: Martins, Ernesto Queirós (author)
Other Authors: Paixão, José Manuel (author), Rosa, Mário Silva (author), Santos, José Luis (author)
Format: other
Language:eng
Published: 2007
Subjects:
Online Access:http://hdl.handle.net/10316/11301
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/11301
Description
Summary:This paper is concerned with the ranking of multi-objective shortest paths accordingly to an order relation verifying certain conditions such is the case, for instance, of the lexicographic order. We present a new labelling algorithm that makes use of shortest deviation paths for obtaining the set of Pareto solutions for the multi-objective shortest path problem. The computational experience reported at the end of the paper shows that the new algorithm clearly outperforms the previous approaches when one looks for the `-th shortest non-dominated paths.