Bucket Game with Applications to Set Multicover and Dynamic Page Migration

  • Marcin Bienkowski
  • Jarosław Byrka
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3669)


We present a simple two-person Bucket Game, based on throwing balls into buckets, and we discuss possible players’ strategies. We use these strategies to create an approximation algorithm for a generalization of the well known Set Cover problem, where we need to cover each element by at least k sets. Furthermore, we apply these strategies to construct a randomized algorithm for Dynamic Page Migration problem achieving the optimal competitive ratio against an oblivious adversary.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Marcin Bienkowski
    • 1
  • Jarosław Byrka
    • 2
  1. 1.International Graduate School of Dynamic Intelligent SystemsUniversity of PaderbornGermany
  2. 2.Centrum voor Wiskunde en InformaticaAmsterdamNetherlands

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