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arXiv math/0506343math.PR
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随机请求概率下移动到前面规则的极限搜索代价分布

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

Javiera Barrera, Thierry Huillet, Christian Paroissin

摘要:

考虑一个流行度随机的$n$文件列表。这些文件更新根据移动到前面的规则,我们认为诱导马尔可夫链在平衡。当$n$趋于无穷大时,我们给出了每项搜索成本的精确极限分布。提供了一些例子。

英文摘要:

Consider a list of $n$ 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 $n$ tends to infinity. Some examples are supplied.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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