Given m ordered segments that form a partition of some universe (e.g., a 2D strip), the multisearch problem consists of determining, for a set of n query points in the universe, the segments they belong to. We present the first parallel deterministic scheme that efficiently solves the problem in the case m ≥ n. The scheme is designed on the BSP* model, a variant of Valiant’s BSP that rewards blockwise communication, and uses a suitable redundant representation of the data. Both computation and communication complexities are studied as functions of the redundancy. In particular, it is shown that optimal speed-up can be achieved using logarithmic redundancy. We also prove a lower bound on the communication requirements of any multisearch scheme realized on a distributed memory machine.
CITATION STYLE
Bäumker, A., Dittrich, W., & Pietracaprina, A. (1996). The deterministic complexity of parallel multisearch. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1097, pp. 404–415). Springer Verlag. https://doi.org/10.1007/3-540-61422-2_149
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