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Optimal Prefetching in Random Trees

Kausthub Keshava 1 Alain Jean-Marie 2, * Sara Alouf 2, 3 
* Corresponding author
2 NEO - Network Engineering and Operations
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : We propose and analyze a model for optimizing the prefetching of documents, in the situation where the connection between documents is discovered progressively. A random surfer moves along the edges of a random tree representing possible sequences of documents, which is known to a controller only up to depth d. A quantity k of documents can be prefetched between two movements. The question is to determine which nodes of the known tree should be prefetched so as to minimize the probability of the surfer moving to a node not prefetched. We analyzed the model with the tools of Markov decision process theory. We formally identified the optimal policy in several situations, and we identified it numerically in others.
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Submitted on : Friday, October 15, 2021 - 2:13:50 PM
Last modification on : Friday, November 4, 2022 - 3:02:51 PM


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Kausthub Keshava, Alain Jean-Marie, Sara Alouf. Optimal Prefetching in Random Trees. Mathematics , 2021, 9 (19), pp.2437. ⟨10.3390/math9192437⟩. ⟨hal-03361953v2⟩



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