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A new upper bound on the work function algorithm for the k-server problem

Author

Listed:
  • Wenming Zhang

    (Northwest University)

  • Yongxi Cheng

    (Xi’an Jiaotong University
    State Key Lab for Manufacturing Systems Engineering)

Abstract

The k-server problem was introduced by Manasse et al. (in: Proceedings of the 20th annual ACM symposium on theory of computing, Chicago, Illinois, USA, pp 322–333, 1988), and is one of the most famous and well-studied online problems. Koutsoupias and Papadimitriou (J ACM 42(5):971–983, 1995) showed that the work function algorithm (WFA) has a competitive ratio of at most $$2k-1$$2k-1 for the k-server problem. In this paper, by proposing a potential function that is different from the one in Koutsoupias and Papadimitriou (1995), we show that the WFA has a competitive ratio of at most $$n-1$$n-1, where n is the number of points in the metric space. When $$n

Suggested Citation

  • Wenming Zhang & Yongxi Cheng, 2020. "A new upper bound on the work function algorithm for the k-server problem," Journal of Combinatorial Optimization, Springer, vol. 39(2), pages 509-518, February.
    • Handle: RePEc:spr:jcomop:v:39:y:2020:i:2:d:10.1007_s10878-019-00493-z
    DOI: 10.1007/s10878-019-00493-z
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    References listed on IDEAS

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    1. Tomislav Rudec & Alfonzo Baumgartner & Robert Manger, 2013. "A fast work function algorithm for solving the k-server problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 21(1), pages 187-205, January.
    2. Tomislav Rudec & Robert Manger, 2015. "A fast approximate implementation of the work function algorithm for solving the $$k$$ k -server problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(3), pages 699-722, September.
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