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Parallel binary search

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2 Author(s)
Akl, S.G. ; Dept. of Comput. & Inf. Sci., Queen''s Univ., Kingston, Ont., Canada ; Meijer, H.

Two arrays of numbers sorted in nondecreasing order are given: an array A of size n and an array B of size m, where n<m. It is required to determine, for every element of A, the smallest element of B (if one exists) that is larger than or equal to it. It is shown how to solve this problem on the EREW PRAM (exclusive-read exclusive-write parallel random-access machine) in O(logm logn/log log m) time using n processors. The solution is then extended to the case in which fewer than n processors are available. This yields an EREW PRAM algorithm for the problem whose cost is O(n log m, which is O(m)) for nm/log m. It is shown how the solution obtained leads to an improved parallel merging algorithm

Published in:

Parallel and Distributed Systems, IEEE Transactions on  (Volume:1 ,  Issue: 2 )