# Stability Properties of Linear File-Sharing Networks

Abstract : File-sharing networks are distributed systems used to disseminate files among a subset of the nodes of the Internet. A file is split into several pieces called chunks, the general simple principle is that once a node of the system has retrieved a chunk, it may become a server for this chunk. A stochastic model is considered for arrival times and durations of time to download chunks. One investigates the maximal arrival rate that such a network can accommodate, i.e., the conditions under which the Markov process describing this network is ergodic. Technical estimates related to the survival of interacting branching processes are key ingredients to establish the stability of these systems. Several cases are considered: networks with one and two chunks where a complete classification is obtained and several cases of a network with $n$ chunks.
Type de document :
Pré-publication, Document de travail
2009
Domaine :

Littérature citée [25 références]

https://hal.inria.fr/inria-00401104
Contributeur : Philippe Robert <>
Soumis le : jeudi 2 juillet 2009 - 14:42:29
Dernière modification le : vendredi 16 février 2018 - 15:40:02
Document(s) archivé(s) le : mardi 15 juin 2010 - 19:18:10

### Fichiers

Hal.pdf
Fichiers produits par l'(les) auteur(s)

### Identifiants

• HAL Id : inria-00401104, version 1
• ARXIV : 0907.0375

### Citation

L. Leskelä, Philippe Robert, Florian Simatos. Stability Properties of Linear File-Sharing Networks. 2009. 〈inria-00401104〉

### Métriques

Consultations de la notice

## 272

Téléchargements de fichiers