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On the global stabi...
On the global stability of a peer-to-peer network model
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- Fogelklou, Oswald (author)
- Uppsala universitet,Analys och tillämpad matematik
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- Konstantopoulos, Takis (author)
- Uppsala universitet,Analys och sannolikhetsteori
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- Tucker, Warwick (author)
- Uppsala universitet,Analys och tillämpad matematik
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(creator_code:org_t)
- Elsevier BV, 2012
- 2012
- English.
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In: Operations Research Letters. - : Elsevier BV. - 0167-6377 .- 1872-7468. ; 40:3, s. 190-194
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- In this paper, we analyze the stability properties of a system of ordinary differential equations describing the thermodynamic limit of a microscopic and stochastic model for file sharing in a peer-to-peer network introduced by Kesidis et al. We show, under certain assumptions, that this BitTorrent-like system has a unique locally attracting equilibrium point which is also computed explicitly. Local and global stability are also shown.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Fluid limit
- Peer-to-peer networks
- Fixed points
- Stability
- Global stability
Publication and Content Type
- ref (subject category)
- art (subject category)
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