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Estimating accesses in partitioned signature file organizations

Published:01 April 1993Publication History
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Abstract

We show that performance of some basic methods for the partitioning of signature files, namely Quick Filter and Fixed Prefix, can be easily evaluated by means of a closed formula. The approximation is based on well-known results from probability theory, and, as shown by simulations, introduces no appreciable errors when compared with the exact, cumbersome formulas used so far. Furthermore, we prove that the exact formulas for the two methods coincide. Although this does not imply that the two methods behave in the same way, it sheds light on the way they could be compared.

References

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  1. Estimating accesses in partitioned signature file organizations

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                Fazli Can

                Quick filter (QF), or linear hashing with superimposed signatures [1], and fixed prefix (FP) [2] are two methods for signature file partitioning. QF and FP are designed for dynamic and static environments, respectively. The performance of a partitioning scheme can be analyzed using the partition activation ratio (PAR), which is defined as the ratio of the number of partitions that must be searched to the total number of existing partitions. The combinatorial PAR formulas for QF and FP look different due to unlike derivations and are difficult to understand and compute. In this paper, Ciaccia and Zezula prove that the exact PAR formulas for QF and FP methods coincide (although this does not mean that the two methods behave in the same manner). They develop an approximate closed PAR formula that is applicable to both QF and FP and is easy to compute and understand. The quality of their approximation is validated by simulation and relies on probability theory. This paper is important for researchers working on signature files and may be a source of inspiration for this type of research. It is nicely done.

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