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HAL Id: inria-00071883

https://hal.inria.fr/inria-00071883

Submitted on 23 May 2006

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A Note on the TCP Fluid Model

Dohy Hong

To cite this version:

Dohy Hong. A Note on the TCP Fluid Model. [Research Report] RR-4703, INRIA. 2003. �inria- 00071883�

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ISSN 0249-6399 ISRN INRIA/RR--4703--FR+ENG

a p p o r t

d e r e c h e r c h e

THÈME 1

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE

A Note on the TCP Fluid Model

Dohy Hong

N° 4703

January 2003

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Unité de recherche INRIA Rocquencourt

Domaine de Voluceau, Rocquencourt, BP 105, 78153 Le Chesnay Cedex (France)

Téléphone : +33 1 39 63 55 11 — Télécopie : +33 1 39 63 53 30

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time in s

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u Ehxy=|z43‚‚N}W1J@|MWEG/e?BE‘.<OzH S%J}4>=hW1JRE•A%EGx‚xWb@4 6@^`^ JB…<EG/14m¡e?BW1S#|MxyS#EG/‰µ4`i1“U„…L ˆ%$'&„ ./14

…JR‚‚yJ@|MxW%i 432‘2w?•i`x~j4>=8?•=Gx2‘Q%‚y4 ¡%A#‰+43I<S#x2543W1=xyJRW%W%xW%iwIGA%‚y4`

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-50 0 50 100 150 200 250 300

10 12 14 16 18 20

Queue

NS2 fluid model

(’xi`A%I4(faQm)8A143A14 =xWb@443~jJR‚A%EGxyJRWŽ

02 + L

,

e h 2

./14gS%4„…‡?BA%‚Em=x2(A%‚‹?BEGxyJRW =U>43We?BIGxyJ'xy=Q“O 6@^`^`^“QPN}E="!B=@{q#Tf`^`^“QPN}E=@{¢$6@^#{M9’.M.2‘xW%Tf`^`^B25={

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U>JRW%ij4>=GEGxyJRW-?@~jJRxyS1?BW1U>4(Q%/e?R=V4`

(’xi`A%I45_ƒ=G/1J@| = EG/145?RU>U3A%IV?RU3FJB…zEG/14‘U>JRW1S#xEGxyJRW'JB…'Ž432‘2w?“6…Q8xW“EG/%xy=U@?R=4`{ EG/14¡%A#‰ 43IW143~j43I

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EG/14¡%A#‰ 43I 432‘Q%EGxy4>=KLA1=GE<?BE<U>JRW%ij4>=GEGxyJRW-43QJ}U/Ž

(12)

-2 0 2 4 6 8 10

0 10 20 30 40 50 60 70 80 90 100

queue, B=199 pkts, N=10

NS2, B=198: queue 0

-2 0 2 4 6 8 10

0 10 20 30 40 50 60 70 80 90 100

queue, B=202 pkts, N=10

NS2, B=202: queue 0

(’xi`A%I45_aQ )8A143A14w432‘Q%EGxW14>==E4>=GE=@ Ž4„…µEQ q#6"…ˆ#{ Œ]A143A14•432‘Q%EGxy4>=@9 xi`/dEQ q#Tf`^`f#{ŽŒ]A143A14•W143~j43I

432‘Q%EGxy4>=@

1000 1010 1020 1030 1040 1050 1060

36 38 40 42 44 46 48 50 52

Send rate

NS2 fluid model

(oxi`A%I4 Z]Q £}43W1SaIV?BE4 43~jJR‚A%EGxyJRWŽ

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•=G/1J| = EG/e?BE EG/14Q%IJRQ+43IGEÏFDEG/e?BEenœYc xy=<U>JRW1=GEV?BWdE xy= ~j43IGFƒ|z43‚‚ =V?BEGxy= e4>S 

(’xi`A%I4 5=G/1J@| =8EG/e?BE EG/14 Q%IJRQ+43IGEÏFaEG/e?BE n œYc xy=<U>JRW1=GEV?BW]E8xy=<ŒdA%xE4(|P43‚‚o=È?BEGxy= e4>S—43~j43W—…JRI

EG/1425J}S%43‚ |MxEG/gS#xŠ‰ 43I43WdE89[.M.o=@

'4M=4>4zEG/e?BEˆJRA%I4>=GEGx2w?BE4xy=Œ]A%xE4 ?RU>U3A%IV?BE4EJ Q%I4>S#xyU3EˆEG/14zI4>=GA%‚E=ˆ=G/1J|MW‘¡dFh¢£#f =Gx2(A%‚‹?BEGxyJRW1=

(13)

650 700 750 800 850 900 950 1000 1050

45 46 47 48 49 50 51 52 53 54

W/RTT

NS2: W(t)/RTT(t) 1000

(’xi`A%I4 aQˆN~jJR‚A%EGxyJRWJB…’ !B9[.M.

500 600 700 800 900 1000 1100 1200

10 20 30 40 50 60 70 80 90 100

W/RTT, B=200 pkts, N=10

NS2: W(t)/RTT(t) 1000

500 600 700 800 900 1000 1100 1200

10 20 30 40 50 60 70 80 90 100

W/RTT, B=400 pkts, N=10

NS2: W(t)/RTT(t) 1000

500 600 700 800 900 1000 1100 1200

10 20 30 40 50 60 70 80 90 100

W/RTT, B=400 pkts, N=30

NS2: W(t)/RTT(t) 1000

500 600 700 800 900 1000 1100 1200

100 110 120 130 140 150 160 170 180 190 200

W/RTT, B=1000 pkts, N=30

NS2: W(t)/RTT(t) 1000

(’xi`A%I4aQ843E43IJRij43W14>JRA1=D9[.M. =Q9[.M. T^#6 <W%xŠ…^Í^#{Í^#Íf%$ύ ¢$6@^ ?B¡J~j4` Ž4„…µEQ q#Tf`^`^“QPN}E=@{

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(14)

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(15)

Unité de recherche INRIA Rocquencourt

Domaine de Voluceau - Rocquencourt - BP 105 - 78153 Le Chesnay Cedex (France)

Unité de recherche INRIA Lorraine : LORIA, Technopôle de Nancy-Brabois - Campus scientifique 615, rue du Jardin Botanique - BP 101 - 54602 Villers-lès-Nancy Cedex (France)

Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu - 35042 Rennes Cedex (France) Unité de recherche INRIA Rhône-Alpes : 655, avenue de l’Europe - 38330 Montbonnot-St-Martin (France) Unité de recherche INRIA Sophia Antipolis : 2004, route des Lucioles - BP 93 - 06902 Sophia Antipolis Cedex (France)

Éditeur

INRIA - Domaine de Voluceau - Rocquencourt, BP 105 - 78153 Le Chesnay Cedex (France)

ISSN 0249-6399

Références

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