Integrating File Popularity and Peer Generosity in Proximity Measure for Semantic-based Overlays

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Integrating File Popularity and Peer Generosity in Proximity Measure for Semantic-based Overlays

Yann Busnel, Anne-Marie Kermarrec

To cite this version:

Yann Busnel, Anne-Marie Kermarrec. Integrating File Popularity and Peer Generosity in Proxim- ity Measure for Semantic-based Overlays. [Research Report] RR-5731, INRIA. 2005, pp.24. �inria- 00070287�

ISRN INRIA/RR--5731--FR+ENG

a p p o r t

d e r e c h e r c h e

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE

Integrating File Popularity and Peer Generosity in Proximity Measure for Semantic-based

Overlays

Yann Busnel and Anne-Marie Kermarrec

N˚5731

Octobre 2005

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" j &*&oh $+.& f k ) j ' j - j ‘&$#j )'*)3+.-&%I & f +(' ‘- ) j*) +' g ~rh vPxkx mt v }E~ x mh1

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x h:hgmc*= " c f\hgiqd+nptyirh:z_‰.h9tymhDrd+~rh x mt*MInf nd b npc ~rhgmh7f\h v c+jkmh:z v c{d+~rh t*?@hgm"6vPx ‰hgdT8 h:hgi

x h:hgmc } v }~rh }:tyiqdhgidc*= ~rh_jkirzkhgm"6bni  tF?@hgm"6v b npc d+~rhgi j x z v dh:z v }:}:tymzni  6b/= ~rh



tŒcEc+n

x 1‰ v ch:z

x

mtydtI}:t\6 npc(}:tyf

x

tŒcEh:z#t39 dT8 t 6v

b@hgmc*= ~rh\‰tyd+dtyf tyirh hgirc+jkmh:c}:tyikirh:}1

d+nC?Ind b#„ X8~knC6ph†d+~rh†dt

x

tyirh†npc7jrch:zdt nf x

mt*?@h chgf

v

id+np} cEh

v

m}~`=dZh 8nC6C6 jrch†d+~knpc

 tŒcEc+nx 1‰ v ch:z vPxkx mt v }E~ v c v ‰ v c+npc ni d+~knpc x*vPx hgm dt hO? v 6j v dh d+~rh x mt x tŒcEh:z ct\6jkd+nptyi`=

' j '*)‘$ `' j : i d+~knpc x*vPx hgm*D8 h x mt x tŒch v mh4rirh:z chgf v id+np} x mt(Mnf nd b f\h v cjkmh

}

vPx d+jkm+ni

_x h:hgm



hgirhgmtŒc+nd b v irz 476ph

x t x j.6

v

m+nd bni v

zkznd+nptyiVdt tF?@hgm"6

vPx

‰hgdT8 h:hgiV}

v

}~rh

}:tyidhgiqdc*=)(jkndh v 9hO8 vPxkx mt v }~rh:c~ v ?@hL‰h:hgi x mt x tŒch:z dt jrchchgf v iqd+np} x mt(Mnf ndb†‰kjkd

+;' f +.-b- g - f k j

q← !"#%$'&)(+*-,/.

chgirz

κp

dt

q κq ← mh:}:hgnC?@h/P

q^R

κ_p ← (%021435678!:9;,κ_p, κ_q^.

<=?>@AA/B

k j # j ) f@Cf )

κq← mh:}:hgnC?@h/PD3R chgirz

κp

dt\chgirzkhgmFP

κq

R

κp ← (+02143:57E!"59;,κp, κq^.

n jkmh\„GFtV1tŒcc+nx 1‰ v ch:z x mtydtI}:t\6 hMkh:}gjkdh:z ‰qb x h:hgm

p

dt7d+~rh{‰h:c+d t39 tyjkm

K

irt*8c6ph:z



hLirtyd dt(mh4rirh{d+~rhchgf

v

iqd+np}Lf\h

v

c+jkmhdt d

v3K hniqdt

v

}:}:tyjkiqd

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Zh v 6pct x mt x tŒch v zkh:}:hgid+m v 6npch:z  tŒcc+nx 1‰ v cEh:z v 6 tym+nd+~kf dt v ccEh:cct476ph x t x j.6v m+nd b/= Zh

hO?

v 6j v

dhd+~rh nf x

mtF?@hgf\hgiqd t39tyjkm f\hgd+m+np}jrc+ni  v h(^Ltyi

K

hgb ŠŒ‹Œ‹Œ‹ „LirhgdU8 tym

K

d+m

v

}:h

ty‰kd

v nirh:z niIHtF?@hgf7‰hgmLŠŒ‹Œ‹Œƒ „ ŠT=

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t39 d+~rh

x

mt

x

tŒch:z

vPxkx mt

v

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v

iqd+np}

x

mt*MInf nd b_f\h

v

cjkmhGK

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aIh:}gd+nptyi &;=

L

;L1)r02 241!(

" 6d+~rtyj



~`D>d+~rh

x

mt

x

tŒch:z

vPxkx mt

v

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v

b‰hjrch:z ni v

8npzkhm

v i  h†t39

x

h:hgm21 dt31

x

h:hgm 476ph

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

nC?@hgi_d+~rhgnmSY*hMn‰knC6nd b/=S: i_d+~rh mh:c+dLt39$d+~rh

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d+jkmht390chgf

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v

‰.6ph dtF}

vPx

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v

irz hM

x

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v

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x

mt(Mnf ndb ‰hgdT8 h:hgi

x

h:hgmcF=

'+ ' 5) f w h:tym

qv iknpc+ni 

d+~rh t*?@hgm"6

v

b\f

v b ‰hzktyirh{hgnd+~rhgm ‰qb

v

zkzni 

tym c"8nd}~kni  6ni K c*=

: i-d+~knpc x*vPx hgm*D”8 h mhO8nmh 6ni K c v cni ŠŒƒTD * 8 h c 8nd}~ v cctItyi v c v ‰hgd+dhgm

} v irznpz v dh†npc7hgir}:tyjkiqdhgmh:z= J v }E~ x h:hgm f v niqd v nirc v 6npc+d(t39chgf v id+np}\irhgn ~‰.tyjkmc

} v

6C6ph:z ndc chgf

v

id+np}d?nphO8

v

irz zkhgirtydh:z

κi

=MHLhgn



~q‰tyjkmc

v

mh chO6ph:}gdh:z

v

}:}:tymzni 

dt v chgf v id+np} x mt*MInf nd b f\hgd+m+np}= ~rh 8 v b v x h:hgm7}:tyf\h:c v }gmtŒcc x tydhgiqd+nv 6 irhO8

irhgn



~q‰tyjkmc†npc zjrh dt d+~rh nf x 6phgf\hgid

v

d+nptyiDt39|d+~rh



tŒcc+n

x 1‰ v ch:z

x

mtydtI}:t\6= ~rh

v 6 tym+nd+~kf npc  nC?@hgi ni n jkmh„= " c ni ŠŒƒTD v ‰tyd+dtyf 6v b@hgm hgirc+jkmh:c}:tyikirh:}gd+nC?Indb/=

C + o+;' j J v }E~ x h:hgm irh:h:zkc>dt hO? v 6j v dhndc>cEhgf v iqd+np} znpcd v ir}:h-$dt{tyd+~rhgm hgir}:tyjkiqdhgmh:z

x h:hgmc v irztymzkhgm|d+~rhgf jrc+ni  d+~rh:ch(f\h v c+jkmh v c v m v i K ni  9jkir}gd+nptyi`= ~rh !O\(

K

irtF8i

x

h:hgmc

v

}:}:tymzni 

dtd+~knpcf\h

v

c+jkmh

v

mh|chO6ph:}gdh:z

v

cirhgn



~q‰tyjkmc*=”Zh

x

mh:chgid

d+~knpcf\h v c+jkmh1ni aIh:}gd+nptyi_ƒ;=

F)I j '*+;' j aIhgf v id+np}{irhgn ~‰.tyjkmc v mhW4rmc+d ct\6np}gndh:z\ni v ch v m}~\mh:ojrh:c+d*= J ?@hgi%8nd+~

v

c+ni  6ph~rt

x

ch

v

m}~`Dc+d+jrznph:c0~

v c c+~rt*8i d+~

v

d”9tym0d b x np}

v 6 s Š s 476ph c+~

v

m+ni 

c+bc+dhgf\c

8 tym K 6pt v zD78 h7ty‰kd v ni v tItIz ~knd m v d+npt„ ƒ.DŠŒŠT= :T9 d+~rh cEh v m}~ ‰ v ch:z tyi chgf v iqd+np}

irhgn ~q‰tyjkmc9 v nC6pc*Dd+~rh1c+d v irz v mz tyirh1npcjrch:z=

;|024{{.<& .0/ E24 24 )*( .

Zh|nid+mtzjr}:h v iqjkf(‰.hgmt39 x mt*MInf nd b f\h v c+jkmh1irtyd v d+nptyircJF

• A ^{npcd+~rh 6pt} v 6 x h:hgmJK}

• B ^{npc v znpc+d v iqd x} h:hgm{znpc+d+nir}gd9tym+f

A^K

• ξA(B) ^{npcd+~rh chgf v id+np} x mt(Mnf ndb f\h v c+jkmh} B ^{v }:}:tymzni  dt} A^K

• κ_A ^{P mh:c x =} κ_B^R npcd+~rh’?InphO8 t39 d+~rh x h:hgm

A ^{P mh:c x =} B^{R K}

• σA,B

npcd+~rh tF?@hgm"6

vPx t39

κA

v

irz

κB

F

x‘*

σA,B=κA∩κB

K

tym1d+~rh c v3K h t39 }O6v m+nd b/D c+d v m+d+ni  9mtyf v ‰ v c+np} chgf v id+np} f\h v c+jkmhD8 h8nC6C6 x mh:chgid

cjr}:}:h:cc+nC?@h|mh4rirhgf\hgiqdc v cd+~rh cEh:}gd+nptyi  th:cF=

" ‰ v c+np}npzkh v D jrch:z ni#chO?@hgm v 6 vPxkx mt v }E~rh:c „ ƒ;D„gŽ D>ŠŒƒTD }:tyirc+npcdc1nif\h v c+jkm+ni  d+~rh†ch1

f v id+np} x mt(Mnf ndb†‰hgdT8 h:hgi x h:hgmc v c d+~rhc+n hLt39 d+~rhLt*?@hgm"6vPx ‰hgdT8 h:hgi d+~rhgnm} v }~rh:cF=A~rh



mh

v

dhgm{d+~knpcc?

v 6jrhDrd+~rh chgf

v

iqd+np}

v

6C6b }O6ptŒcEhgmd+~rh

x

h:hgmcF=

Zh4rmc+d irtym+f v 6npch†d+~knpc ? v 6jrh v }:}:tymzni  dt

A^{c } v }E~rh\n}i#tymzkhgm(dt K h:h x d+~rh†c v f\h zkh4riknd+nptyi_mh  nptyi`=

ξ_A¹(B) = |σ_A,B|

|κA|

P„FR

~rhf\tymh 476ph:c

A ^{v irz} B ^{~ v ?@hLni }:tyf} f\tyi`Dd+~rhL}O6ptŒcEhgm dt „Ld+~rhLf\h v c+jkmh=-HLtydhd+~ v d

v

dd+~knpcc+d

vP

hDirhgnd+~rhgm{d+~rh 476ph

x t x j.6

v

m+nd b irtym

B^{c } hgirhgmtŒcnd b v mh1d

v3K hgi nidt

v

}:}:tyjkiqd*=