Hostname: page-component-7dd5485656-dk7s8 Total loading time: 0 Render date: 2025-10-29T16:37:14.941Z Has data issue: false hasContentIssue false
  • English
  • Français

An extension of a theorem concerning an interesting Markov chain

Published online by Cambridge University Press:  14 July 2016

W. J. Hendricks
W. J. Hendricks*
Affiliation:
Case Western Reserve University
Get access Rights & Permissions [Opens in a new window]

Abstract

In a single-shelf library of N books we suppose that books are selected one at a time and returned to the kth position on the shelf before another selection is made. Books are moved to the right or left as necessary to vacate position k. The probability of selecting each book is assumed to be known, and the N! arrangements of the books are considered as states of an ergodic Markov chain for which we find the stationary distribution.

Keywords

ERGODIC MARKOV CHAINSTORAGE AND SEARCHINVENTORY

Information

Type
Short Communications
Information
Journal of Applied Probability , Volume 10 , Issue 4 , December 1973 , pp. 886 - 890
Copyright
Copyright © Applied Probability Trust 1973 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

[1] Burville, P. J. and Kingman, J. F. C. (1973) On a model for storage and search. J. Appl. Prob. 10, 697–701.Google Scholar
[2] Hendricks, W. J. (1972) The stationary distribution of an interesting Markov chain. J. Appl. Prob. 9, 231–233.Google Scholar