The art of computer programming, volume 1 (3rd ed.): fundamental algorithms
The art of computer programming, volume 1 (3rd ed.): fundamental algorithms
The art of computer programming, volume 3: (2nd ed.) sorting and searching
The art of computer programming, volume 3: (2nd ed.) sorting and searching
Analysis of the Search Performance of Coalesced Hashing
Journal of the ACM (JACM)
Journal of the ACM (JACM)
Analysis of a file addressing method
Communications of the ACM
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This paper presents a new approach to the analysis of hashing with linear probing for nonuniformly distributed hashed keys. The use of urn models is avoided. Instead, some facts about empirical processes, which are well known in statistics are used. In particular, an asymptotic formula for the expected probe length for both a successful and an unsuccessful search is obtained. The accuracy of the approximation is confirmed by simulation.