A nonoblivious bus access scheme yields an optimal partial sorting algorithm

Satoshi Fujita, Masafumi Yamashita

Research output: Contribution to journalArticle

Abstract

This paper focuses on a linear array of n nodes with multiple shared buses as a practically feasible model for parallel processing. Let k be the number of shared buses. A nonoblivious scheme for mutually exclusive access to k shared buses is proposed. The effectiveness of the scheme is demonstrated by proposing an algorithm for solving a partial sort problem, which can be efficiently executed on the array according to the scheme. The partial sort problem with parameter m is the problem of sorting a subset S′ of a given set S, where S′ is the set of elements less than or equal to the mth smallest element in S. If m = 1, then it is solved by an algorithm for finding the smallest element in S, and if m = n, then it is solved by adapting normal sorting algorithm. The time complexity (9mlk) log2 log2 n + 3.467 √nlk + O(mlk + (nlk)1/4) of the proposed algorithm matches a lower bound Ω (√nlk + mlk) with respect to n and k, if m is small enough to satisfy m = O(√nkllog log n).

Original languageEnglish
Pages (from-to)111-116
Number of pages6
JournalJournal of Parallel and Distributed Computing
Volume34
Issue number1
DOIs
Publication statusPublished - Apr 10 1996

All Science Journal Classification (ASJC) codes

  • Software
  • Theoretical Computer Science
  • Hardware and Architecture
  • Computer Networks and Communications
  • Artificial Intelligence

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