Efficiency of a Binary Comparison Storage Technique

The efficiency of an information storage technique based on binary comparisons is analyzed. Generating functions are applied to finding the mean and variance of the number of comparisons needed to retrieve one item from a store of n items. Surprisingly, the variance approaches 7 - 2/3π 2 for large n...

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Veröffentlicht in:Journal of the ACM 1974-07, Vol.21 (3), p.376-384
Hauptverfasser: Palmer, E. M., Rahimi, M. A., Robinson, R. W.
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container_title Journal of the ACM
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creator Palmer, E. M.
Rahimi, M. A.
Robinson, R. W.
description The efficiency of an information storage technique based on binary comparisons is analyzed. Generating functions are applied to finding the mean and variance of the number of comparisons needed to retrieve one item from a store of n items. Surprisingly, the variance approaches 7 - 2/3π 2 for large n .
doi_str_mv 10.1145/321832.321836
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source ACM Digital Library Complete
subjects Information storage
Stores
Variance
title Efficiency of a Binary Comparison Storage Technique
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