Multicriteria path and tree problems: discussion on exact algorithms and applications

Multicriteria/multiobjective path and tree models are useful in many applications. Particularly, in Internet routing problems they seem to lead to promising approaches. In the first part of this paper, we classify and present the main exact approaches dealing with several multicriteria path problems putting in evidence the shortest path problem. In the second part, we review exact algorithms dedicated to some multicriteria tree problems, namely the minimum spanning tree and the minimum cost/minimum label spanning tree problems. Finally, the application of these models is exemplified.