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Aggregation approach for the minimum binary cost tension problem
Authors:Bruno Bachelet  Christophe Duhamel
Affiliation:LIMOS, UMR 6158-CNRS, Université Blaise Pascal, BP 10125, 63173 Aubière, France
Abstract:The aggregation technique, dedicated to two-terminal series–parallel graphs (TTSP-graphs) and introduced lately to solve the minimum piecewise linear cost tension problem, is adapted here to solve the minimum binary cost tension problem (BCT problem). Even on TTSP-graphs, the BCT problem has been proved to be NP-complete. As far as we know, the aggregation is the only algorithm, with mixed integer programming (MIP), proposed to solve exactly the BCT problem on TTSP-graphs. A comparison of the efficiency of both methods and a heuristic is presented.
Keywords:Minimum cost tension   Binary costs   Two-terminal series&ndash  parallel graphs
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