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On a model for storage and search

Published online by Cambridge University Press:  14 July 2016

P. J. Burville  and
J. F. C. Kingman
P. J. Burville
Affiliation:
University of Sussex
J. F. C. Kingman
Affiliation:
University of Oxford
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Abstract

Books are arranged on a shelf. After use, a book is returned to the left hand end of the shelf. Expressions are derived for the probability that, in equilibrium, a given book is in a given position on the shelf, in terms of the frequencies with which the different books are demanded.

Keywords

STORAGESEARCHMARKOV CHAINSTATIONARY PROBABILITY
Type
Short Communications
Information
Journal of Applied Probability , Volume 10 , Issue 3 , September 1973 , pp. 697 - 701
Copyright
Copyright © Applied Probability Trust 1973 

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References

Hendricks, W. J. (1972) The stationary distribution of an interesting Markov chain. J. Appl. Prob. 9, 231–233.Google Scholar