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Relaxed balance for search trees with local rebalancing

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Algorithms — ESA '97 (ESA 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1284))

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Abstract

Search trees with relaxed balance were introduced with the aim of facilitating fast updating on shared-memory asynchronous parallel architectures. To obtain this, rebalancing has been uncoupled from the updating, so extensive locking in connection with updates is avoided. Rebalancing is taken care of by background processes, which do only a constant amount of work at a time before they release locks. Thus, the rebalancing and the associated locks are very localized in time as well as in space. In particular, there is no exclusive locking of whole paths. This means that the amount of parallelism possible is not limited by the height of the tree.

Search trees with relaxed balance have been obtained by adapting standard sequential search trees to this new paradigm; clearly using similar techniques in each case, but no general result has been obtained. We show how any search tree with local bottom-up rebalancing can be used in a relaxed variant preserving the complexity of the rebalancing from the sequential case. Additionally; we single out the one high level locking mechanism that a parallel implementation must provide in order to guarantee consistency.

Some of the work was done while this author was visiting the Department of Computer Sciences, University of Wisconsin at Madison. The work of this author was supported in part by SNF (Denmark), in part by NSF (U.S.) grant CCR-9510244, and in part by the ESPRIT Long Term Research Programme of the EU under project number 20244 (Aalcom-IT).

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Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Science, Odense University, Campusvej 55, DK-5230, Odense M, Denmark

    Kim S. Larsen

  2. Institute of Computer Science, Freiburg University, Am Flughafen 17, D-79110, Freiburg, Germany

    Thomas Ottmann

  3. Laboratory of Information Processing Science, Helsinki University of Technology, Otakaari 1 A, FIN-02150, Espoo, Finland

    Eljas Soisalon-Soininen

Authors
  1. Kim S. Larsen
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  2. Thomas Ottmann
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  3. Eljas Soisalon-Soininen
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Editor information

Rainer Burkard Gerhard Woeginger

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© 1997 Springer-Verlag Berlin Heidelberg

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Larsen, K.S., Ottmann, T., Soisalon-Soininen, E. (1997). Relaxed balance for search trees with local rebalancing. In: Burkard, R., Woeginger, G. (eds) Algorithms — ESA '97. ESA 1997. Lecture Notes in Computer Science, vol 1284. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63397-9_27

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  • DOI: https://doi.org/10.1007/3-540-63397-9_27

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63397-6

  • Online ISBN: 978-3-540-69536-3

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