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A faster strongly polynomial time algorithm to solve the minimum cost tension problem

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  • Mehdi Ghiyasvand

    (Bu-Ali Sina University)

Abstract

This paper presents a strongly polynomial time algorithm for the minimum cost tension problem, which runs in $$O(\max \{m^3n, m^2 \log n(m+n \log n)\})$$ O ( max { m 3 n , m 2 log n ( m + n log n ) } ) time, where n and m denote the number of nodes and number of arcs, respectively. Our algorithm improves upon the previous strongly polynomial time of $$O(n^4 m^3 \log n)$$ O ( n 4 m 3 log n ) due to Hadjiat and Maurras (Discret Math 165(166):377–394, 1997).

Suggested Citation

  • 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.
    • Handle: RePEc:spr:jcomop:v:34:y:2017:i:1:d:10.1007_s10878-016-0070-4
    DOI: 10.1007/s10878-016-0070-4
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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.
    2. 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.
    3. Andrew V. Goldberg & Robert E. Tarjan, 1990. "Finding Minimum-Cost Circulations by Successive Approximation," Mathematics of Operations Research, INFORMS, vol. 15(3), pages 430-466, August.
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    Cited by:

    1. 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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