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Minimum convex-cost tension problems on series-parallel graphs

Published online by Cambridge University Press:  15 March 2004

Bruno Bachelet  and
Philippe Mahey
Bruno Bachelet
Affiliation:
LIMOS, UMR 6158-CNRS, Université Blaise-Pascal, BP 10125, 63173 Aubière, France; bachelet@isima.fr., mahey@isima.fr.
Philippe Mahey
Affiliation:
LIMOS, UMR 6158-CNRS, Université Blaise-Pascal, BP 10125, 63173 Aubière, France; bachelet@isima.fr., mahey@isima.fr.
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Abstract

We present briefly some results we obtained with known methods to solve minimum cost tension problems, comparing their performance on non-specific graphs and on series-parallel graphs. These graphs are shown to be of interest to approximate many tension problems, like synchronization in hypermedia documents. We propose a new aggregation method to solve the minimum convex piecewise linear cost tension problem on series-parallel graphs in O(m3) operations.

Keywords

Minimum cost tensionconvex piecewise linear costsseries-parallel graphs.
Type
Research Article
Information
RAIRO - Operations Research , Volume 37 , Issue 4: ROADEF 2002 , October 2003 , pp. 221 - 234
Copyright
© EDP Sciences, 2003

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