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A fast approximate implementation of the work function algorithm for solving the $$k$$ k -server problem

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  • Tomislav Rudec
  • Robert Manger

Abstract

In this paper we propose an approximate implementation of the work function algorithm (WFA) for solving the $$k$$ k -server problem. Our implementation is based on network flow techniques, a novel network model, and flow cost reduction. Also, it is provided with a parameter that enables tradeoff between accuracy and speed. In the paper we present experiments, showing that the new implementation can mimic perfectly the original WFA and still run at least an order of magnitude faster than any known exact implementation. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • 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.
    • Handle: RePEc:spr:cejnor:v:23:y:2015:i:3:p:699-722
    DOI: 10.1007/s10100-014-0349-4
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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.
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    Cited by:

    1. 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.
    2. Tibor Csendes & Lidija Zadnik Stirn & Janez Žerovnik, 2015. "Editorial," 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 523-525, September.
    3. Andrej Kastrin & Janez Povh & Lidija Zadnik Stirn & Janez Žerovnik, 2021. "Methodologies and applications for resilient global development from the aspect of SDI-SOR special issues of CJOR," 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. 29(3), pages 773-790, September.

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    1. Bertsimas, Dimitris & Jaillet, Patrick & Korolko, Nikita, 2019. "The K-server problem via a modern optimization lens," European Journal of Operational Research, Elsevier, vol. 276(1), pages 65-78.
    2. 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.

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