State space collapse and diffusion approximation for a network operating under a fair bandwidth sharing policy

Annals of Applied Probability

Volumn 19, Issue 5, 2009, Pages 1719-1780

  Kang, W N ^a   Kelly, F P ^b   Lee, N H ^c   Williams, R J ^d  

^a CARNEGIE MELLON UNIVERSITY   (United States)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^c Johns Hopkins University   (United States)

^d UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

fair; Bandwidth sharing; Brownian model; Diffusion approximation; Flow level Internet congestion control; Fluid model; Invariant manifold; Multi path routing; Product form stationary distribution; Proportional fair sharing; Reflected Brownian motion

Indexed keywords

EID: 73949120425     PISSN: 10505164     EISSN: 10505164     Source Type: Journal    
DOI: 10.1214/08-AAP591     Document Type: Article

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