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Aggregation approach for the minimum binary cost tension problem

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  • Bachelet, Bruno
  • Duhamel, Christophe

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.

Suggested Citation

  • Bachelet, Bruno & Duhamel, Christophe, 2009. "Aggregation approach for the minimum binary cost tension problem," European Journal of Operational Research, Elsevier, vol. 197(2), pages 837-841, September.
    • Handle: RePEc:eee:ejores:v:197:y:2009:i:2:p:837-841
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    References listed on IDEAS

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    1. Ravindra K. Ahuja & Dorit S. Hochbaum & James B. Orlin, 2003. "Solving the Convex Cost Integer Dual Network Flow Problem," Management Science, INFORMS, vol. 49(7), pages 950-964, July.
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    Cited by:

    1. Mehdi Ghiyasvand, 2017. "A faster strongly polynomial time algorithm to solve the minimum cost tension problem," Journal of Combinatorial Optimization, Springer, vol. 34(1), pages 203-217, July.
    2. Mehdi Ghiyasvand, 2019. "An $$O(n(m+n\log n)\log n)$$O(n(m+nlogn)logn) time algorithm to solve the minimum cost tension problem," Journal of Combinatorial Optimization, Springer, vol. 37(3), pages 957-969, April.

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