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A primal–dual online algorithm for the k-server problem on weighted HSTs

Author

Listed:
  • Wenbin Chen

    (Guangzhou University
    Nanjing University)

  • Fufang Li

    (Guangzhou University)

  • Jianxiong Wang

    (Guangzhou University)

  • Ke Qi

    (Guangzhou University)

  • Maobin Tang

    (Guangzhou University)

  • Xiuni Wang

    (Guangzhou University)

Abstract

In this paper, we show that there is a $$\frac{5}{2}\ell \cdot \ln (1+k)$$ 5 2 ℓ · ln ( 1 + k ) -competitive randomized algorithm for the k-sever problem on weighted Hierarchically Separated Trees (HSTs) with depth $$\ell $$ ℓ when $$n=k+1$$ n = k + 1 where n is the number of points in the metric space, which improved previous best competitive ratio $$12 \ell \ln (1+4\ell (1+k))$$ 12 ℓ ln ( 1 + 4 ℓ ( 1 + k ) ) by Bansal et al. (FOCS, pp 267–276, 2011).

Suggested Citation

  • Wenbin Chen & Fufang Li & Jianxiong Wang & Ke Qi & Maobin Tang & Xiuni Wang, 2017. "A primal–dual online algorithm for the k-server problem on weighted HSTs," Journal of Combinatorial Optimization, Springer, vol. 34(4), pages 1133-1146, November.
    • Handle: RePEc:spr:jcomop:v:34:y:2017:i:4:d:10.1007_s10878-017-0135-z
    DOI: 10.1007/s10878-017-0135-z
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    References listed on IDEAS

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    1. Yinfeng Xu & Hongmei Li & Changzheng He & Li Luo, 2015. "The online $$k$$ k -server problem with max-distance objective," Journal of Combinatorial Optimization, Springer, vol. 29(4), pages 836-846, May.
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