Abstract

The problem of multiselection arises frequently in databases. Here, given an unordered set S of n records and a sequence of m integers 1 ⩽ q 1 < q 2 < … < q m ⩽ n we are interested in answering queries of the type ‘find the q i th smallest elements in S’, the problem is to answer all these queries as fast as possible. We propose an efficient parallel algorithm for multiselection, running in O( n/p log 2 m) time using p processors with 1 ⩽ p ⩽ [ n/log n log* n], in the EREW-PRAM model.

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