@comment{ generated by <http://infoscience.epfl.ch/> }

@TechReport{199833/IC,
   abstract    = {Some recent papers have shown that congestion control
                 based on additive increase and multiplicative decrease
                 tends to share bandwidth according to proportional
                 fairness. Proportional fairness is a form of fairness
                 which distributes bandwidth with a bias in favour of
                 flows using a smaller number of hops; this is in contrast
                 with max-min fairness, which gives absolute priority to
                 small flows. We revisit those results by using the
                 modelling framework based on the ordinary differential
                 equation method in [LJU77, KC78]. We find that for the
                 case of small increments and constant round trip times,
                 and in the regime of rare negative feedback, the
                 proportional fairness result can only very approximately
                 reflect the real rate allocation when we assume that the
                 feedback received by sources is independent of their
                 sending rates. In the case where sources receive feedback
                 proportionally to their sending rates, and still for
                 sources with identical round trip times, this is no
                 longer true and the fairness provided is different. We
                 show, by simulation on some examples, that even for
                 larger increments, the average rate convergence is in
                 agreement with our results. Finally, we establish that in
                 the event of rate proportional feedback, our results
                 maintain consistency with the well-known derivations
                 relating TCP throughput as a function of loss ratio.
                 However, this does not hold for the rate independent
                 case, which we consider further validation of the
                 assumption of rate dependent feedback.},
   affiliation = {EPFL},
   author      = {Hurley, P. and Le Boudec, Jean-Yves and Thiran, P.},
   details     = {http://infoscience.epfl.ch/record/52292},
   documenturl = {http://infoscience.epfl.ch/record/52292/files/IC_TECH_REPORT_199833.pdf},
   oai-id      = {oai:infoscience.epfl.ch:52292},
   oai-set     = {driver},
   status      = {PUBLISHED},
   title       = {A {N}ote on the {F}airness of {A}dditive {I}ncrease and
                 {M}ultiplicative {D}ecrease},
   unit        = {LCA LCA2 LCA3},
   year        = 1998
}