## 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) log_{2} log_{2} 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 language | English |
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Pages (from-to) | 111-116 |

Number of pages | 6 |

Journal | Journal of Parallel and Distributed Computing |

Volume | 34 |

Issue number | 1 |

DOIs | |

Publication status | Published - Apr 10 1996 |

Externally published | Yes |

## All Science Journal Classification (ASJC) codes

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