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File-sharing networks are distributed systems used to disseminate files among nodes of a communication network. The general simple principle of these systems is that once a node has retrieved a file, it may become a server for this file. In…

Probability · Mathematics 2010-05-12 L. Leskelä , Philippe Robert , Florian Simatos

We consider five different peer-to-peer file sharing systems with two chunks, with the aim of finding chunk selection algorithms that have provably stable performance with any input rate and assuming non-altruistic peers who leave the…

Operating Systems · Computer Science 2018-10-24 Ilkka Norros , Hannu Reittu , Timo Eirola

We study a queueing network with a single shared server, that serves the queues in a cyclic order according to the gated service discipline. External customers arrive at the queues according to independent Poisson processes. After…

Probability · Mathematics 2014-09-11 Marko Boon , Rob van der Mei , Erik Winands

The paper considers a queueing system with limited processor sharing. No more than n jobs may be served simultaneously. This system may be used for modeling bandwidth sharing in wireless communication systems and processes of service in…

Applications · Statistics 2022-02-24 M. S. Alencar , A. G. Tatashev , O. V. Seleznjev , M. V. Yashina

We investigate a processor sharing queue with renewal arrivals and generally distributed service times. Impatient jobs may abandon the queue, or renege, before completing service. The corresponding stochastic processes are represented by…

Probability · Mathematics 2009-08-25 Christian H. Gromoll , Philippe Robert , Bert Zwart

A many-server queueing system is considered in which customers arrive according to a renewal process and have service and patience times that are drawn from two independent sequences of independent, identically distributed random variables.…

Probability · Mathematics 2012-04-30 Weining Kang , Kavita Ramanan

We propose a new model for peer-to-peer networking which takes the network bottlenecks into account beyond the access. This model allows one to cope with key features of P2P networking like degree or locality constraints or the fact that…

Networking and Internet Architecture · Computer Science 2012-06-19 François Baccelli , Fabien Mathieu , Ilkka Norros

Volunteer computing has been known as an alternative solution to solve complex problems. It is acknowledged for its simplicity and its ability to work on multiple operating systems. Nonetheless, setting up a server for volunteer computing…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-21 Yustinus Eko Soelistio

Peer-to-Peer (P2P) systems have proved to be the most effective and popular file sharing applications in recent years. Previous studies mainly focus on the equal service and the differentiated service strategies when peers have no initial…

Networking and Internet Architecture · Computer Science 2013-04-12 Jianwei Zhang , Yongchao Wang , Wei Xing , Dongming Lu

In this paper, a simple transient Markov process with an absorbing point is used to investigate the qualitative behavior of a large scale storage network of non reliable file servers where files can be duplicated. When the size of the…

Probability · Mathematics 2012-04-02 Mathieu Feuillet , Philippe Robert

Most peer-to-peer content distribution systems require the peers to privilege the welfare of the overall system over greedily maximizing their own utility. When downloading a file broken up into multiple pieces, peers are often asked to…

Networking and Internet Architecture · Computer Science 2016-11-17 Cedric Westphal

File-sharing systems, like many online and traditional information sharing communities (e.g. newsgroups, BBS, forums, interest clubs), are dynamical systems in nature. As peers get in and out of the system, the information content made…

Networking and Internet Architecture · Computer Science 2007-05-23 W. -Y. Ng , W. K. Lin , D. M. Chiu

This work studies queues in a Euclidean space. Consider $N$ servers that are distributed uniformly in $[0,1]^d$. Customers arrive at the servers according to independent stationary processes. Upon arrival, they probabilistically decide…

Probability · Mathematics 2024-09-05 B. R. Vinay Kumar , Lasse Leskelä

Recent development of peer-to-peer (P2P) services (e.g. streaming, file sharing, and storage) systems introduces a new type of queue systems that receive little attention before, where both job and server arrive and depart randomly. Current…

Performance · Computer Science 2016-05-11 Taoyu Li , Minghua Chen , Tony Lee , Xing Li

P2P systems provide a scalable solution for distributing large files in a network. The file is split into many chunks, and peers contact other peers to collect missing chunks to eventually complete the entire file. The so-called `rare…

Networking and Internet Architecture · Computer Science 2011-07-21 Barlas Oğuz , Venkat Anantharam , Ilkka Norros

This paper considers peer-to-peer scheduling for a network with multiple wireless devices. A subset of the devices are mobile users that desire specific files. Each user may already have certain popular files in its cache. The remaining…

Networking and Internet Architecture · Computer Science 2012-02-22 Michael J. Neely

We consider learning outcomes in games with carryover effects between rounds: when outcomes in the present round affect the game in the future. An important example of such systems is routers in networking, as they use simple learning…

Computer Science and Game Theory · Computer Science 2025-07-22 Ariana Abel , Yoav Kolumbus , Jeronimo Martin Duque , Cristian Palma Foster , Eva Tardos

We analyze the ability of peer to peer networks to deliver a complete file among the peers. Early on we motivate a broad generalization of network behavior organizing it into one of two successive phases. According to this view the network…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 R. Cilibrasi , Z. Lotker , A. Navarra , S. Perennes , P. Vitanyi

We consider a discrete-time system comprising a first-come-first-served queue, a non-preemptive server, and a stationary non-work-conserving scheduler. New tasks enter the queue according to a Bernoulli process with a pre-specified arrival…

Applications · Statistics 2020-08-05 Michael Lin , Nuno C. Martins , Richard J. La

In this paper, we analyse a single server polling model with two queues. Customers arrive at the two queues according to two independent Poisson processes. There is a single server that serves both queues with generally distributed service…

Probability · Mathematics 2017-07-14 Mayank Saxena , Onno Boxma , Stella Kapodistria , Rudesindo Núñez Queija
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