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Retrieval of scattered information by EREW, CREW, and CRCW PRAMs

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Abstract

Thek-compaction problem arises whenk out ofn cells in an array are non-empty and the contents of these cells must be moved to the firstk locations in the array. Parallel algorithms fork-compaction have obvious applications in processor allocation and load balancing;k-compaction is also an important subroutine in many recently developed oped parallel algorithms. We show that any EREW PRAM that solves thek-compaction problem requires\(\Omega (\sqrt {\log n} )\) time, even if the number of processors is arbitrarily large andk=2. On the CREW PRAM, we show that everyn-processor algorithm fork-compaction problem requires Ω(log logn) time, even ifk=2. Finally, we show thatO(logk) time can be achieved on the ROBUST PRAM, a very weak CRCW PRAM model.

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Author notes

  1. Mirosław Kowaluk

    Present address: Instytut Informatyki, Uniwersytet Warszawski, Banacha 2, 00-913, Warszawa, Poland

  2. Krzysztof Loryś

    Present address: Instytut Informatyki, Uniwersytet Wrocławski, Przesmyckiego 20, 51-151, Wrocław, Poland

Authors and Affiliations

  1. Department of Computer Science, University of Toronto, M5S 1A4, Toronto, Ontario, Canada

    Faith Fich

  2. Heinz Nixdorf Institute and Department of Mathematics & Computer Science, Universität-GH Paderborn, D-33095, Paderborn, Germany

    Mirosław Kutyłowski

  3. Lehrstuhl für Theoretische Informatik, Universität Würzburg, D-97072, Würzburg, Germany

    Mirosław Kowaluk & Krzysztof Loryś

  4. University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada

    Prabhakar Ragde

Authors
  1. Faith Fich
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  2. Mirosław Kowaluk
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  3. Mirosław Kutyłowski
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  4. Krzysztof Loryś
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  5. Prabhakar Ragde
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Fich, F., Kowaluk, M., Kutyłowski, M. et al. Retrieval of scattered information by EREW, CREW, and CRCW PRAMs. Comput Complexity 5, 113–131 (1995). https://doi.org/10.1007/BF01268141

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  • DOI: https://doi.org/10.1007/BF01268141

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