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An $$O(n(m+n\log n)\log n)$$O(n(m+nlogn)logn) time algorithm to solve the minimum cost tension problem

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  • Mehdi Ghiyasvand

    (Bu-Ali Sina University)

Abstract

This paper presents an $$O(n(m+n\log n)\log n)$$O(n(m+nlogn)logn) time algorithm to solve the minimum cost tension problem, where n and m denote the number of nodes and number of arcs, respectively. The algorithm is inspired by Orlin (Oper Res 41:338–350, 1993) and improves upon the previous best strongly polynomial time of $$O(\max \{m^3n, m^2\log n(m+n\log n)\})$$O(max{m3n,m2logn(m+nlogn)}) due to Ghiyasvand (J Comb Optim 34:203–217, 2017).

Suggested Citation

  • 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.
    • Handle: RePEc:spr:jcomop:v:37:y:2019:i:3:d:10.1007_s10878-018-0331-5
    DOI: 10.1007/s10878-018-0331-5
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. James B. Orlin, 1993. "A Faster Strongly Polynomial Minimum Cost Flow Algorithm," Operations Research, INFORMS, vol. 41(2), pages 338-350, April.
    4. 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.
    5. 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.
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