Hypermedia Synchronization: Modeling and Optimization with Graphs

Bruno Bachelet (1) , Christophe Duhamel (1) , Philippe Mahey (1) , Luiz Fernando Soares (2)

1 LIMOS - Laboratoire d'Informatique, de Modélisation et d'Optimisation des Systèmes
2 PUC-Rio - Pontifícia Universidade Católica do Rio de Janeiro [Brasil] = Pontifical Catholic University of Rio de Janeiro [Brazil] = Université catholique pontificale de Rio de Janeiro [Brésil]

This article presents the modeling and optimization methods for a new kind of synchronization problems arising in the field of hypermedia presentations. It is shown that they can be seen as tension problems in graphs. Two of them are described in detail: the minimum cost tension problem and its discrete cost counterpart. The former is solved with pseudo-polynomial or polynomial methods. The latter is NP-complete and we discuss ways to improve its minimal and maximal objective bounds.

Mots clés: linear programming; minimum cost tension; temporal graphs; hypermedia synchronization

Mots clés: synchronisation hypermédia; tension de coût minimal; programmation linéaire; graphes temporels

Domaines: Recherche opérationnelle [math.OC]

Bruno Bachelet, Christophe Duhamel, Philippe Mahey, Luiz Fernando Soares. Hypermedia Synchronization: Modeling and Optimization with Graphs. John Cagnol et Jean-Paul Zolesio Information Processing: Recent Mathematical Advances in Optimization and Control, 5, Presses des Mines, pp.49-62, 2004, 9782911762567. ⟨hal-01704115⟩