un sistema de colas con demandas repetidas, servidor

Anuncio
VW L?}hitL B@*i}L _i ,t|@|‚>t|U@ i W?it|}@U‚L? _i Tih@U‚L?t
V}L D. _i Li4MhL _i 2ff
XQ VLVWHPD GH FRODV FRQ GHPDQGDV UHSHWLGDV/
VHUYLGRU SRFR ILDEOH \
WLHPSR JHQHUDO GH YLGD GHO VHUYLGRU
J1 Erx}d4 / L1 Iruwhv5 / S1 Pruhqr5
Ghsduwdphqwr gh Pdwhpdwlfd Dsolfdgd
Xqlyhuvlgdg gh Od Kdedqd
5 Ghsduwdphqwr gh Pdwhp
dwlfd Dsolfdgd
Xqlyhuvlgdg gh Pdodjd
4
UHVXPHQ
Dqdol}dprv xq vlvwhpd gh frodv P@P@4 frq ghpdqgdv uhshwlgdv/ idoorv gho vhuyl0
gru | uhsdudflrqhv1 Od ghpdqgd vhuylgd gxudqwh od dyhud gho vhuylgru hvshud
kdvwd txh qdol}d od uhsdudflrq sdud frqwlqxdu vx vhuylflr1 Wdqwr orv wlhpsrv
gh ylgd gho vhuylgru frpr orv gh uhsdudflrq vrq jhqhudohv1 Hvwxgldprv odv sur0
edelolgdghv hvwdflrqduldv/ odv glvwulexflrqhv gh orv wdpdqrv gh od ruelwd | gho
vlvwhpd/ dghpdv gh dojxqdv phglgdv gh uhdol}dflrq1 Ilqdophqwh/ kdoodprv od
ghvfrpsrvlflrq hvwrfdvwlfd sdud ho wdpdqr gh qxhvwur vlvwhpd | frpr frqvhfxhq0
fld sursruflrqdprv hvwlpdflrqhv lqihulruhv | vxshulruhv gh od glvwdqfld hqwuh odv
glvwulexflrqhv hvwdflrqduldv gh qxhvwur prghor | ho fruuhvsrqglhqwh prghor vlq
ghpdqgdv uhshwlgdv1
Sdodeudv | iudvhv fodyh= Vlvwhpdv gh frodv/ Ghpdqgdv uhshwlgdv/ Dyhudv gho vhuylgru1
Fodvlfdflrq DPV= 93N581
41 LQWURGXFFLR Q
Orv vlvwhpdv gh frodv frq ghpdqgdv uhshwlgdv ghvhpshqdq xq sdsho lpsruwdqwh hq ho
dqdolvlv gh uhghv gh frpxqlfdflrqhv frpsxwdflrqdohv/ dv frpr hq vlvwhpdv gh frpxqlfd0
flrqhv1 Od fdudfwhuvwlfd ixqgdphqwdo gh hvwrv vlvwhpdv hv txh odv ghpdqgdv txh do oohjdu
hqfxhqwudq ho vhuylgru rfxsdgr vh xqhq d xq juxsr gh ghpdqgdv lqvdwlvihfkdv +oodpdgr
ruelwd, sdud/ wudv xq wlhpsr dohdwrulr/ lqwhqwdu gh qxhyr rewhqhu vx vhuylflr1 Sdud xqd uh0
ylvlrq ghwdoodgd gh orv sulqflsdohv uhvxowdgrv | olwhudwxud vreuh hvwh whpd sxhghq frqvxowduvh
Duwdohmr +4<<<, | Idolq | Whpsohwrq +4<<:,1
Xqd flufxqvwdqfld qrwdeoh h lqhylwdeoh hq od ixqflrq gh vhuylflr gh xq vlvwhpd gh frodv
hv vx dyhud | frqvhfxhqwh uhsdudflrq1 Vlq hpedujr/ hq od pd|rud gh orv hvwxglrv h{lvwhqwhv
vreuh prghorv gh frodv/ vh vxsrqh txh ho vhuylgru hvwd vlhpsuh glvsrqleoh/ dxqtxh hvwd
vxsrvlflrq hv hylghqwhphqwh srfr uhdolvwd1 Gh khfkr/ odv lqwhuuxsflrqhv gho vhuylflr ghelgr
d dyhudv gho vhuylgru rfxuuhq hq od sudfwlfd1 Sru vxsxhvwr/ kdvwd txh vh uhfreud od ixqflrq
gh vhuylflr/ orv wlhpsrv gh hvshud gh odv ghpdqgdv hq ho vlvwhpd dxphqwdq1
Shvh d txh orv vlvwhpdv gh frodv frq ghpdqgdv uhshwlgdv | dyhudv gho vhuylgru wlhqhq
pxfkdv dsolfdflrqhv sudfwlfdv gh judq lqwhuhv/ kdvwd dkrud edvlfdphqwh vror vh kdq wudwdgr
prghorv grqgh r elhq od dyhud vh surgxfh mxvwr do frphq}du ho vhuylflr +yhd sru hmhpsor
Dwhqfld hw do1 +5336,, r elhq ho wlhpsr gh ylgd gho vhuylgru hv h{srqhqfldo +yhd Zdqj hw do1
+5334,,1 Hq hvwh wudedmr vh dqdol}d xq vlvwhpd gh frodv P@P@4 frq ghpdqgdv uhshwlgdv hq
ho fxdo ho vhuylgru hvwd vxmhwr d idoorv | vx wlhpsr gh ylgd vljxh xqd glvwulexflrq jhqhudo1
Sdud frqvxowdu od yhuvlrq gh qxhvwur vlvwhpd hq wlhpsr glvfuhwr uhplwlprv do ohfwru d Pruhqr
+5336,1
Hq od vljxlhqwh vhfflrq/ gdprv od ghvfulsflrq pdwhpdwlfd gho vlvwhpd gh frodv edmr hv0
wxglr1 Hq od vhfflrq 6/ hvwxgldprv od glvwulexflrq hvwdflrqduld gh qxhvwur vlvwhpd gh frodv/
odv glvwulexflrqhv gho qxphur gh ghpdqgdv hq od ruelwd | hq ho vlvwhpd/ dv frpr prvwudprv
dojxqrv qglfhv gh surgxfwlylgdg1 Ilqdophqwh/ hq od vhfflrq 7/ suhvhqwdprv od surslhgdg gh
ghvfrpsrvlflrq hvwrfdvwlfd sdud ho wdpdqr gh qxhvwur vlvwhpd | frpr frqvhfxhqfld gdprv
frwdv gh od sur{lplgdg hqwuh odv glvwulexflrqhv hvwdflrqduldv gh qxhvwur vlvwhpd gh frodv |
vx fruuhvsrqglhqwh vlq ghpdqgdv uhshwlgdv1
51 GHVFULSFLR Q GHO VLVWHPD
Frqvlghuhprv xq vlvwhpd gh frodv frq xq xqlfr vhuylgru grqgh odv ghpdqgdv oohjdq vhjxq
xq xmr gh Srlvvrq gh lqwhqvlgdg 1 Vl ho vhuylgru hvwd oleuh hq ho prphqwr gh xqd oohjdgd
h{whuqd/ hvwd ghpdqgd frplhq}d d vhuyluvh lqphgldwdphqwh1 Sru ho frqwudulr/ odv ghpdqgdv
txh do oohjdu hqfxhqwudq ho vhuylgru rfxsdgr/ dedqgrqdq ho duhd gh vhuylflr/ shur ghvsxhv
gh xq wlhpsr dohdwrulr uhslwhq xq lqwhqwr sdud frqvhjxlu vhuylflr1 Hvdv ghpdqgdv txh hvwdq
hvshudqgr sdud vrolflwdu vx vhuylflr vh frqvlghudq hq ruelwd1 Vxsrqhprv txh orv wlhpsrv
hqwuh uhlqwhqwrv gh fxdotxlhu ghpdqgd vrq lqghshqglhqwhv | glvwulexlgrv h{srqhqfldophqwh
frq lqwhqvlgdg +srowlfd gh uhlqwhqwr fodvlfd,1 Orv wlhpsrv gh vhuylflr vrq lqghshqglhqwhv |
h{srqhqfldophqwh glvwulexlgrv frq phgld 4 1 Sru vxsxhvwr/ fxdotxlhu ghpdqgd dedqgrqd
ho vlvwhpd ghvsxhv gh frpsohwdu vx vhuylflr1
Ho vhuylgru sxhgh txh vh dyhuh plhqwudv vluyh ghpdqgdv | fxdqgr hvwr rfxuuh vh hqyd
gluhfwdphqwh d uhsdudu1 Od ghpdqgd txh hvwded vluylhqgrvh gxudqwh od dyhud hvshud kdvwd
txh vh uhsdud ho vhuylgru sdud frpsohwdu vx vhuylflr1 Vxsrqhprv txh orv wlhpsrv gh ylgd gho
vhuylgru vljxhq xqd oh| jhqhudo D+{, frq wudqvirupdgd gh Odsodfh0Vwlhowmhv +v, 1 Orv wlhp0
srv gh uhsdudflrq hvwdq jrehuqdgrv sru xqd glvwulexflrq duelwuduld E +{, frq wudqvirupdgd
gh Odsodfh0Vwlhowmhv +v, | prphqwrv gh q0hvlpr rughq uhvshfwr do ruljhq q 1 Lqgxgdeoh0
phqwh/ ho vhuylgru ixqflrqd fruuhfwdphqwh ghvsxhv gh od uhsdudflrq1
Vxsrqhprv txh ho xmr gh oohjdgd gh ghpdqgdv/ orv lqwhuydorv hqwuh uhlqwhqwrv/ orv wlhp0
srv gh vhuylflr/ orv wlhpsrv gh ylgd gho vhuylgru | orv wlhpsrv gh uhsdudflrq vrq pxwxdphqwh
lqghshqglhqwhv1
Hq xq prphqwr duelwudulr w / ho vlvwhpd sxhgh ghvfuleluvh sru ho surfhvr
[ +w, @ +F +w,>Q +w,>4+w,>5+w,,
grqgh F +w, ghqrwd ho hvwdgr gho vhuylgru +3/ 4 r 5/ vhjxq txh hq ho prphqwr w ho vhuylgru
hvwh oleuh/ rfxsdgr r dyhuldgr, | Q +w, hv ho qxphur gh ghpdqgdv hq od ruelwd1 Vl F +w, @ 4/
4+w, uhsuhvhqwd ho wlhpsr wudqvfxuulgr gh ylgd gho vhuylgru1 Vl F +w, @ 5/ 5+w, vlperol}d ho
wlhpsr wudqvfxuulgr gh uhsdudflrq gho vhuylgru1
61 DQD OLVLV GH ODV SUREDELOLGDGHV HVWDFLRQDULDV
Hq hvwd vhfflrq hvwxgldprv od glvwulexflrq frqmxqwd gho hvwdgr gho vhuylgru | ho qxphur gh
ghpdqgdv uhshwlgdv hq ho uhjlphq hvwdflrqdulr1 Frqvlghuhprv odv vljxlhqwhv suredelolgdghv
oplwh
s3>q @ wolp
" S ^F +w, @ 3>Q +w, @ q` > q 3
| odv ghqvlgdghv gh suredelolgdg oplwh
sl>q+{, @ wolp
" S ^F +w, @ l>Q +w, @ q>{ ? l +w, { . g{` > l @ 4> 5 > q 3 > { 3 =
Sru ho phwrgr gh od yduldeoh vxsohphqwduld/ idflophqwh rewhqhprv ho vlvwhpd gh hfxd0
flrqhv gh htxloleulr
+ . q , s3>q @
] "
s4>q+{, g{ > q 3
+4,
g
g{ s4>q +{, @ ^ . . d+{,` s4>q+{, . +4 3>q , s4>q4 +{, > q 3 > { 3 +5,
g
g{ s5>q +{, @ ^ . e+{,` s5>q+{, . +4 3>q, s5>q4+{, > q 3 > { 3 +6,
grqgh odv ixqflrqhv d+{, | e+{, vrq odv lqwhqvlgdghv gh frpsohwdflrq frqglflrqdo +hq ho pr0
phqwr {, sdud orv wlhpsrv gh ylgd gho vhuylgru | orv wlhpsrv gh uhsdudflrq uhvshfwlydphqwh/
hv ghflu/
!
!
d+{, @ 4 D D+{+,{, | e+{, @ 4 E E+{+,{, =
3
Odv frqglflrqhv gh iurqwhud vrq
] "
s4>q+3, @ s3>q . +q . 4, s3>q.4 . 3 s5>q+{, e+{, g{> q 3
] "
s5>q+3, @ 3 s4>q +{, d+{, g{> q 3 =
+7,
+8,
Sdud uhvroyhu ho vlvwhpd gh hfxdflrqhv +4, +8, / ghqlprv odv vljxlhqwhv ixqflrqhv jhqh0
udwulfhv
"
"
S3+}, @ [ s3>q }q > Sl +{>}, @ [ sl>q+{, }q > l @ 4> 5 =
q@3
q@3
Phgldqwh odv ixqflrqhv jhqhudwulfhv suhyldv/ ho vlvwhpd gh hfxdflrqhv gh htxloleulr +4,+8,
vh wudqvirupd hq
S3+}, . } S3! +},
C S4+{>},
C{
C S5+{>},
C{
S4+3>},
S5+3>},
@
@
@
@
@
] "
S4 +{>}, g{
^ } . . d+{,` S4 +{>}, > { 3
^ } . e+{,` S5 +{>}, > { 3
] "
S3 +}, . S3! +}, . 3 S5+{>}, e+{, g{
] "
S4 +{>}, d+{, g{=
3
3
Odv vroxflrqhv gh odv hfxdflrqhv glihuhqfldohv +:, +;, vrq
S4+{>}, @ S4+3>}, ^4 D+{,` h+ }., {
S5+{>}, @ S5+3>}, ^4 E+{,` h+ }, { =
+9,
+:,
+;,
+<,
+43,
Vxvwlwx|hqgr odv hfxdflrqhv suhfhghqwhv hq odv hfxdflrqhv +9, | +<, +43, oohjdprv d
+44,
S3 +}, . } S3! +}, @ 4} +.}, S4+3>},
S4 +3>}, @ S3+}, . S3! +}, . +}, S5 +3>},
+45,
S5 +3>}, @ +}, S4+3>},
+46,
grqgh khprv ghqlgr odv ixqflrqhv dx{lolduhv
+}, @ + } . , | +}, @ + }, =
Vxvwlwx|hqgr odv hfxdflrqhv +45, +46, hq od hfxdflrq +44, rewhqhprv od vljxlhqwh
hfxdflrq glihuhqfldo
^4 +}, +},` . +}, 44}+},
!
+47,
S3+}, @ 4 } ^4 +}, +},` +}, 4} +}, S3+},
4 }
grqgh @ @ hv od fdujd gho vlvwhpd1 Uhvroylhqgr hvwd hfxdflrq glihuhqfldo vh rewlhqh
+ ]
,
}
^4 +x, +x,` . +x, 44x+x,
S3+}, @ S3+4, h{s 4 4 x ^4 +x, +x,` +x, 4x +x, gx
4 x
grqgh od frqvwdqwh S3 +4, vh kdoodud pdv dghodqwh1
Holplqdqgr S3! +}, do frpelqdu odv hfxdflrqhv +45, +47, qrv txhgd
S4+3>}, @ 4 } ^4 + +},} +.},`,S3+}+,}, 4} +},
4 }
+}, S3 +} ,
+
}
.
,
S5+3>}, @ 4 } ^4 +}, +},` +}, 4} +}, =
4 }
Ho vljxlhqwh ohpd qrv sursruflrqd xqd frqglflrq edmr od fxdo odv ixqflrqhv jhqhudwulfhv
hvwdq elhq ghqlgdv hq ^3/4, | hq } @ 4 vh h{wlhqghq sru frqwlqxlgdg1
Ohpd 4 Od ghvljxdogdg } ^4 +}, +},`. +}, 4}4}+}, ? 4 vh yhulfd sdud 3 } ? 4
+ ,
vl | v
ror vl ? 4 4 4+, 1
Ilqdophqwh/ d sduwlu gh od frqglflrq gh qrupdol}dflrq/ vh ghwhuplqd od lqfrjqlwd
S3+4, @ 4 4 4 ++,, =
Sxhvwr txh S3 +4, A 3/ whqhprv txh ? 4 4 4++,, hv xqd frqglflrq qhfhvduld sdud od
hvwdelolgdg gh qxhvwur vlvwhpd1
Orv uhvxowdgrv gh hvwd vhfflrq txhgdq uhvxplgrv hq ho vljxlhqwh whruhpd1
Whruhpd 4 Od glvwulexflrq hvwdflrqduld gho surfhvr i[ +w,>w 3j ylhqh gdgd sru odv ixq0
flrqhv jhqhudwulfhv
+ ]
,
}
^4 +x, +x,` . +x, 44x+x,
+
,
S3+}, @ 4 4 4 +, h{s 4 4 x ^4 +x, +x,` +x, 4x +x, gx
4 x
+
}
.
,
S
3 +} ,
S4+{>}, @ 4 } ^4 +}, +},` +}, 4} +}, ^4 D+{,` h+ }., {
4 }
+}, S3 +},
+
}
.
,
S5+{>}, @ 4 } ^4 +}, +},` +}, 4} +}, ^4 E+{,` h+ }, {
4 }
grqgh
+}, @ + } . , | +}, @ + }, =
Vl hq orv fdvrv F +w, 5 i4> 5j qr whqhprv hq fxhqwd uhvshfwlydphqwh ho wlhpsr gh ylgd
gho vhuylgru wudqvfxuulgr 4 +w, ql ho wlhpsr gh uhsdudfl
rq wudqvfxuulgr 5 +w,/ hqwrqfhv odv
fruuhvsrqglhqwhv ixqflrqhv jhqhudwulfhv ylhqhq gdgdv sru
S4+}, @ 4 } ^4 ++},}+.},`,S3+}+,}, 4} +}, 4} +.},
4 }
+}, S3 +},
+
}
.
,
S5+}, @ 4 } ^4 +}, +},` +}, 4} +}, 4}+}, =
Frurodulr 4
4 }
+4, Od ixqfl
rq jhqhudwul} gh suredelolgdg gho wdpd
qr gho vlvwhpd +hv ghflu/ gh od yduldeoh
, ylhqh gdgd sru
O
T+}, @ S3+}, . } S4+}, . } S5 +}, @ 4 } ^4 ^4 +}, ++}},`,`S3+},+}, 4} +}, =
4 }
+5, Od ixqfl
rq jhqhudwul} gh suredelolgdg gho wdpd
qr gh od r
uelwd +hv ghflu/ gh od yduldeoh
, ylhqh gdgd sru
Q
U+}, @ S3+}, . S4+}, . S5 +}, @ 4 +}^4}.4,+}^4, +},`+}, ++}},`, 4S3}+}, +}, =
4 }
Frurodulr 5
+4, Od suredelolgdghv gh txh ho vhuylgru hvw
h ghvrfxsdgr/ rfxsdgr r dyhuldgr vrq uhvshfwl0
ydphqwh
S3+4, @ 4 4 4 ++,, > S4+4, @ > S5+4, @ 4 4 ++,, =
+5, Orv wdpd
qrv phglrv gho vlvwhpd | gh od r
uelwd vrq uhvshfwlydphqwh
!
5
H ^O` @ . S3+4, . +, 5 4 5^.^4+4+,`,`S.3 +4, 5 ^4 +4 ,`5+S3,+4,
H ^Q ` @ H ^O` ^4 S3+4,` =
+6, Ho wlhpsr phglr txh xqd ghpdqgd sdvd hq ho vlvwhpd ylhqh gdgr sru Z @ H ^O`@ 1
71 GHVFRPSRVLFLR Q HVWRFD VWLFD
Hq hvwd vhfflrq gdprv xqd oh| gh ghvfrpsrvlflrq hvwrfdvwlfd sdud ho wdpdqr gho vlvwhpd/
fx|d ixqflrq jhqhudwul} gh suredelolgdg sxhgh hvfuleluvh frpr
l
k
4 4 4++,, ^4 +},`
T+}, @ 4 } ^4 +}, +},` +}, 4} +}, SS33++4,}, =
4 }
Frpr frqvhfxhqfld gh hvwd surslhgdg whqhprv ho vljxlhqwh whruhpd1
Whruhpd 5
Ho q
xphur wrwdo gh ghpdqgdv hq ho vlvwhpd edmr hvwxglr sxhgh h{suhvduvh frpr
od vxpd gh grv y1d1l1= xqd gh odv fxdohv hv ho q
xphur wrwdo gh ghpdqgdv hq ho vlvwhpd gh
frq vhuylgru srfr deoh | wlhpsr jhqhudo gh ylgd gho vhuylgru/ | od rwud hv
frodv
ho q
xphur gh ghpdqgdv uhshwlgdv hq qxhvwur vlvwhpd gdgr txh ho vhuylgru hvw
d ghvrfxsdgr1
P@P@4@4
Qrwdprv txh hvshudedprv txh qxhvwur vlvwhpd wxylhud hvwd surslhgdg/ |d txh orv shurgrv
gh ghvrfxsdflrq gho vhuylgru sxhghq lqwhusuhwduvh frpr ydfdflrqhv gho vhuylgru1 Sru wdqwr/
od oh| gh ghvfrpsrvlflrq hvwrfdvwlfd sdud qxhvwur vlvwhpd hv frqvlvwhqwh frq od suhvhqwdgd
sru Ixkupdqq | Frrshu +4<;8, sdud orv prghorv gh frodv P@J@4 frq ydfdflrqhv gho vhuyl0
gru1
Frpr frqvhfxhqfld gh od surslhgdg gh ghvfrpsrvlflrq hvwrfdvwlfd/ ghulydprv xqd phglgd
gh od sur{lplgdg hqwuh odv glvwulexflrqhv hvwdflrqduldv gh qxhvwur vlvwhpd | ho vlvwhpd gh
frodv P@P@4@4 frq vhuylgru srfr deoh | wlhpsr jhqhudo gh ylgd gho vhuylgru +O" ,1 Od
lpsruwdqfld gh odv vljxlhqwhv frwdv hv sursruflrqdu hvwlpdflrqhv lqihulruhv | vxshulruhv gh
od glvwdqfld hqwuh dpedv glvwulexflrqhv1
Whruhpd 6 Vh yhulfdq odv vljxlhqwhv ghvljxdogdghv
5 ^S3 +4, s3>3 ` "
[
m @3
s3>3
mS ^O @ m ` S ^O" @ m `m 5 S3 +4,
S +4, =
3
Od lghd gh od ghprvwudflrq gh hvwh whruhpd sxhgh hqfrqwuduvh hq Duwdohmr +4<<;,1
Ilqdophqwh/ revhuydprv txh od glvwdqfld S"
m @3 mS ^O @ m ` S ^O" @ m `m hqwuh odv glv0
wulexflrqhv gh odv yduldeohv O | O" ghfuhfh fxdqgr $ 4 +dowd lqwhqvlgdg gh uhlqwhqwrv,1
Od dowd lqwhqvlgdg gh uhlqwhqwrv hv gh hvshfldo lqwhuhv sudfwlfr hq od ylgd uhdo/ |d txh odv
ghpdqgdv txh hqfxhqwudq ho vhuylgru rfxsdgr uhslwhq vxv _oodpdgdv% fdvl lqphgldwdphqwh1
81 UHIHUHQFLDV
Duwdohmr/ M1U1 +4<<;,1 _Vrph uhvxowv rq wkh P@J@4 txhxh zlwk Q 0srolf|%1 Dvld0Sdflf
Mrxuqdo ri Rshudwlrqdo Uhvhdufk 48/ 47:048:1
Duwdohmr/ M1U1 +4<<<,1 _Dffhvvleoh Eleolrjudsk| rq Uhwuldo Txhxhv%1 Pdwkhpdwlfdo dqg
Frpsxwhu Prghoolqj 63/ 4091
Dwhqfld/ L1/ Iruwhv/ L1/ Pruhqr/ S1 dqg Vdqfkh}/ V1 +5336,1 _D uhwuldo txhxh zlwk vwduwlqj
idloxuhv/ ihhgedfn dqg olqhdu uhwuldo srolf|%1 9wk Khoohqlf Hxurshdq Frqihuhqfh rq Frpsxwhu
Pdwkhpdwlfv dqg lwv Dssolfdwlrqv1 Dwkhqv1
Idolq/ J1L1 dqg Whpsohwrq/ M1J1F1 +4<<:,1 Uhwuldo Txhxhv1 Fkdspdq ) Kdoo/ Orqgrq1
Ixkupdqq/ V1Z1 dqg Frrshu/ U1E1 +4<;8,1 _Vwrfkdvwlf Ghfrpsrvlwlrqv lq wkh P@J@4
Txhxh zlwk Jhqhudol}hg Ydfdwlrqv%1 Rshudwlrqv Uhvhdufk 66/ 444:0445<1
Pruhqr/ S1 +5336,1 _D glvfuhwh0wlph uhwuldo txhxh zlwk xquholdeoh vhuyhu dqg jhqhudo vhuyhu
olihwlph%1 [[LLL Vhplqdu rq Vwdelolw| Sureohpv iru Vwrfkdvwlf Prghov1 Sdpsorqd1
Zdqj/ M1/ Fdr/ M1 dqg Ol/ T1 +5334,1 _Uholdelolw| Dqdo|vlv ri wkh Uhwuldo Txhxh zlwk Vhuyhu
Euhdngrzqv dqg Uhsdluv%1 Txhxhlqj V|vwhpv 6;/ 69606;31
Descargar