A New Approach to the Analysis of Linear Probing Schemes

Haim Mendelson, Uri Yechiali

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

A new approach to the analysis of hash table performance is presented. This approach is based on a direct probabilistic analysis, where the underlying probabilities are derived by using the ballot theorem and its ramifications. The method is first applied to analyze the performance of the classical (cyclic) linear probing scheme, and the results are used to solve an optimal storage allocation problem. A scheme frequently used in practice where the table is linear rather than cyclic is then analyzed using the same methodology.

Original languageEnglish
Pages (from-to)474-483
Number of pages10
JournalJournal of the ACM
Volume27
Issue number3
DOIs
StatePublished - 1 Jul 1980

Keywords

  • ballot theorem
  • collision resolution
  • cyclic probing scheme
  • hashing
  • linear probing scheme

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