An alternative analysis of the open hashing algorithm

  • Authors:
  • Ningping Sun;Ryozo Nakamura

  • Affiliations:
  • Kumamoto National College of Technology, Nishigoshi, Kikuchi, Kumamoto, Japan;Kumamoto University, Kumamoto, Japan

  • Venue:
  • Math'04 Proceedings of the 5th WSEAS International Conference on Applied Mathematics
  • Year:
  • 2004

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Abstract

Hashing is one of the most important techniques for sorting and searching. Two problems that how to design a good hash function and how to deal with the collision must be resolved when hashing is applied. First, we provide an evaluation system of hashing algorithm unsing some popular hash functions and show some evaluation results. Continuously, we present an analysis of the probability that collision occurs. Introducing the probability distribution of frequency of access on each individual key in the separate chain into the analysis of search cost, we propose a mathematical analysis to exactly analyze and evaluate the performance of open hashing algorithm. Some interesting test results obtained from the proposed formulae are also presented.