English

Limiting search cost distribution for the move-to-front rule with random request probabilities

Probability 2007-05-23 v1

Abstract

Consider a list of nn files whose popularities are random. These files are updated according to the move-to-front rule and we consider the induced Markov chain at equilibrium. We give the exact limiting distribution of the search-cost per item as nn tends to infinity. Some examples are supplied.

Keywords

Cite

@article{arxiv.math/0506343,
  title  = {Limiting search cost distribution for the move-to-front rule with random request probabilities},
  author = {Javiera Barrera and Thierry Huillet and Christian Paroissin},
  journal= {arXiv preprint arXiv:math/0506343},
  year   = {2007}
}

Comments

move-to-front, search cost, random discrete distribution, limiting distribution, size biased permutation

R2 v1 2026-07-22T17:20:50.703Z