• Corpus ID: 17765630

Linear Hashing: A New Tool for File and Table Addressing

@inproceedings{Litwin1980LinearHA,
  title={Linear Hashing: A New Tool for File and Table Addressing},
  author={Witold Litwin},
  booktitle={VLDB},
  year={1980}
}
  • W. Litwin
  • Published in VLDB 1 October 1980
  • Computer Science
Linear hashing is a hashing in which the address space may grow or shrink dynamically. A file or a table may then support any number of insertions or deletions without access or memory load performance deterioration. A record in the file is, in general, found in one access, while the load may stay practically constant up to 90 %. A record in a table is found in a mean of 1.7 accesses, while the load is constantly 80 %. No other algorithms attaining such a performance are known. 

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References

SHOWING 1-10 OF 17 REFERENCES

Linear Hashing with Partial Expansions

TLDR
A new method for organising dynamic files is presented and its performance is analysed, revealing that an average search length in the range 1.1 - 1.2 accesses can easily be achieved, even for storage utilisation as high as 85-90 per cent.

Virtual Hashing: A Dynamically Changing Hashing

TLDR
This work defines virtual hashings which practically independently of the number of such records find in one disk access almost each record of the file, such that several accesses would be needed if the function initially chosen for the file was used.

Extendible hashing—a fast access method for dynamic files

TLDR
This work studies, by analysis and simulation, the performance of extendible hashing and indicates that it provides an attractive alternative to other access methods, such as balanced trees.

Dynamic hashing

A new file organisation called dynamic hashing is presented. The organisation is based on normal hashing, but the allocated storage space can easily be increased and decreased without reorganising

The reallocation of hash-coded tables

TLDR
The technique can be used to eliminate previously flagged deletions from any hash-coded table, or to change from one hashing method to another, and can be utilized in conjunction with a linear reallocation of the table being rescattered.

Perfect hashing functions: a single probe retrieving method for static sets

TLDR
A refinement of hashing which allows retrieval of an item in a static table with a single probe is considered, and a rough comparison with ordinary hashing is given which shows that this method can be used conveniently in several practical applications.

Hashing Schemes for Extendible Arrays

TLDR
It is shown that extendible hashing schemes whose worst-case access behavior is close to optimal must utilize storage inefficiently; conversely hashing schemes that utilize storage too conservatively are inevitably poor in expected access time.

Big Buckets Are (Are Not) Better!

TLDR
The relationship between certain techniques for the storage of information in a computer and a cell occupancy problem is shown and the distribution and expected value of the number of comparisons and in particular the behavior as n-~ ~ are determined.

General performance analysis of key-to-address transformation methods using an abstract file concept

  • V. Lum
  • Computer Science
    CACM
  • 1973
This paper presents a new approach to the analysis of performance of the various key-to-address transformation methods. In this approach the keys in a file are assumed to have been selected from the