On-Demand Layer Addition (ODL) : Making Multi-Layer Multicast Transmissions Cheaper
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(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. On-Demand Layer Addition (ODL): Making Multi-Layer Multicast Transmissions Cheaper Vincent Roca. N ˚ 0239 F´evrier 2000 ` THEME 1. ISSN 0249-0803. apport technique.
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(21) ¯t½.Å-beT Ä Çtº\^T.Ã.c ÁejIÂ3Â^ º._»$Ä8_ Îew yÀV_IÀ¥e¾)TÀ Ó_Â^daºTú!h \ÊÈÔ´º.Y¿µ m \ j _l w \rc jº.»¢¼I½.¾ºÄÇtº ¿!ÀlÁeÂ^ú ÄÀÁO¿.º"À»¾ÐÅÄÈÇ$º ¾¼ÅIº.¿ÄÈÇ$¼Ä¼Â^º"¼IÃ.ÄËÁ$¼¾È¾ÐÅ-Â4º4Ñ.ÁeÊÈÂ^ºÒ Õ T_ly\ j \ Qtj c Q _Icc Qew \7s hfj c j u j u._ v TV_ c j \ w vtw ¯u]_ v c\^_ wyv a\Y Q T v `t\^T w c Q+h^j `ec^T h ¯$cfT hfwyv CcfT]u Q$vewx `eTV\ w T P$ |IQ { ' hjahP jI Q $ 'KT]IT vChw w _ja\ hwv IvtTsw 7 U `ec w u._Ij\^crj h^j `t«s © w \`tw\fjaT v C|wv c Q _lc>w u._a\fQ T YµYm hfj j j © wjav } ew Q T TV\fc c TCst_IsT \ a_ T _I\ >\ TVu!c T.c4_ \c T s c u T]u.c \^c^` TV\c T ¥T v v T.¯$c^\ wjajlv iYewµm w c Qvew jHv hu.wy`tveUw `ew y_lwsc 7 w ITwjH_ v vth^v$j `ec^T h hf ¥$_Iv \^T ¯$c^T hfh^wwv v \^u Q T]U"h T]\ ×PQ T © v \^T]wu.jHc v wjavZeY-w wyv c hfje `$hu!T]\ w c4\ w UjHseh^T¢ U"T c4_lc \^u]`t\^\^T]\c U"T c _l _lc 8_ s T]\^T c4\YT.bts$T U"T c^_I T]\4`ec^\ T]u!c & \^u]`t\4\fTV\ T.y_lc^T wyv _ld¨iT7u jav u.` T 9 < % )7)-52 °jHv hntc Qeh^jw \i\^T]u.c wjav h×T _I\4\^`$vtUewyT v ¶ W jH¹ h´c veQ j _IcnTV_Iu Q _daT j hw \×u._ hh4h^ww T jHhv _ ¿.ºÎtw ¼Â4¼Äº t$Áeh ¾ÆÄEʣü:¿3o>ÄK ÍIÂ^Àh Á΢Q )PQj T h h T jah T j ÄÇtºY¿.Àv$ÁeeÂ4wÃ4v º _ v t \ st\i_7y_dIT ¥Hd\^T cist_au T.c4\c _ st_ c u]`e_ U`tc u]_I\^cn_ TV\^\ cfT c TY\ ` u!T>\^c st\n\^T T. s\_t^_au`0 aT]b c^c\d c j _ h^j `$sS $c Q T\ jl c wy v \^c^_lc^T w TVsec h¥H¹3d U`eÂ^ºc Ãw º!u.ÊÈ_aÔ\fº!c  h^j $`tcfT h ja\ h>¶ \^$T]hfu.j c wjav Y }O¹nh jah c Qek jaw \>wve wyhfv j `tjHsh \f j wd v ew \^Q _asts$TV_ j h \ w ¶ T `t\^T]\>_ T _I`ec &U `tcfT]\>c UT _ \ st\__daT ¥Hd TV_ c T _I\4\ u _IcfT U`ec Q w u]_I\^c hh^j `ts :j Õ iT © _ly\ j wjH_av¨\^\4`t} U"vT ¶Ë|H¹ 7 c Q _IcQ c h _ v \4U jI´w \4Y\ wµjav m \×_ hQ T v Ã.Á Q Áe¾¼ÄËÊÈÔºj wË T ´h TVu!T wwjawv v "yh _dITveh j nh T x ` wh T]\ h T]u.T w wyv _IKc T7y_dIT \×¥$T] TVu!c _ _ld T]\×c T `t\^T T c T]\^T7c _a\^\4`tUsec \×_ T c>U"T.c. . . . 9%.
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(23) R OGFNBM #t #t. Yµmw vCº.»¢Ò ĸÀ fº!»±Ò΢Â^ÀÄÀVÃ4Àl¾ jah4Hwv wyv h x ,h jHv je PQ h jah YµmQ _I\ vej h T x ` wyh T]U"T v c v T w c Q T h jHv c Q T \h^_ j `ec^T hi ` v u.c wjav _I w c w T]\ vtIja hrjav c Q T hfj _`ec wyTv `e_ TVvt\fc °^T]²Y\4s³ g \^s Tih^U j c j u T j y\ wv T `tT \^T T Yµm¦h T] w T]\ jHv ¥ j c Q c Q T \ j ` h u!T_ vt c Q T h TVu!T w IT h \ wy T]\ «w c w \rc Q T Â^ºÃ4º.ÊÈÔº! \ h TV\^s jav \ w ¥ w w cd-c j _I\ jHh _ tew c wjav _l yw _dIT h \ j Q QT v ¿!_IÀlstÁes Â^h^Ãj º s hfjw _lc^T h ¶ T $wieQew w w\YjHv u jav aT]\^c wh jav u Q jav v c h^j ) U jO j`eeT"j \^_dej \Y\ je¹ _ h v$ wc jCh.h ×TV\^ s ja v$j c h j
(24) Q vU"h TV\^ \4_l aT]\ ¶ °c wr\ Qt`tws\7c U_c b w T U`tU v `$Uc ¥Tu hT]jl_I cfT7__ daT h \ c Q _I\7_l8¥T._T dav@T h \rT]_I u Q TT ¹3_a"\ PT Q Tc \ j ` h u!T\ _l¥Hy\ dCj _ u Q TVT]uu.T \ITsT h^wjOtw uu]_l`d\fT c Q _lTc7u.TV_ _Iu Q T U`t`e\^Tc w u.T _I \^c hfj `this w w \×t`$h^\fj T ¥HSd jav T jah U jHh T h TVu!T w aT h \n¥Hd-\fT vtewyv U"T]\4\4_l ITV\ ° :vej ¥ je d h T]\4s jHvt \]Oc Q T v c Qtw \ ¶Evtj `t\^T.T]\4\ ¹ y_dIT \ s$s$T. R1 requests layers 2 and 3. layer_3 (highest layer). layer_3 (highest layer). the source queries then drops layer 2. receivers request layer_2 layers 1/2/3. source queries then drops layer 3. query then drop layer 2 ... query then drop layer 1. R2 requests layer 1. source queries then drops layer 0. layer_2. layer_1 layer_0 (base layer). ... ... .... layer_1 layer_0 (base layer) t0 (tx start) t1. t2. time. continuous tx. low-end receiver R2. t1. t2. t3. t4. time. high-end receiver R1. low-end receiver R2. "!$#&%'%'())+*&,#+*. .-/102)+"!$#&%'%'())+*&,#+* high-end receiver R1. jHv w a` h TQ W «"h P®h _ v h\4U w \4\ whjHv \ jav S T]_au Q y_dIT h w c Q _\fd v u Q$hfjHvej `t\ jHh _I\^d v u Qth^javej `t\\fc4_ h c jl c Q T h TVu!T w IT h \38 w c QYµm d¨c T7 T]d-_ T]_a\×_ T`t\^T w h ¶ ¹ vt+¶ ¹ j h h v v Q j h w Q vt w Qej Q Yµm hfj j j PQ h h_ T c aj` h T]T]\u.T W w IT _ h \]H_ _ Qew ¥ Qe T u vtUhstTV_ u!T Tw IT_h5daT 476 U _ Qej_I I\4T]`tU"¥tT\4u h^cw ¥_IT]c×\rc c j T7_l\ ` j u!` Th y_cdIT h _ \]e_ vt c _" j `e c cT vtT Ch T]u!T w as T h 49c 8 u QtjjavT d T \4`t¥t\4u h^w ¥T]\rc j c Q T¯ h \^crc j y_dIT h \ ®Õ T u jHv \ wy T h c jHwvt \ jl _Istse w u._lc wjHv \ « S _ v _Istse w u._lc wjHvejawv _ jav Tic w U"Tׯ$T×c h _ v \ T h׶ ¯$ H` h TYW ¶ _ ¹ Q T h Ti³³ª² $ Y ' w \_a\^\4`tU"T ¢¹«®Q T h T×_IOc Q T h T]u.T w IT h \ U`t\^c>¥T h TV_ d-¥T jHh Tc Q T7c h _ v \4U w \4\ wjav \^c^_ h c^\ ¶ \fd v u Qth^javtj `t\r\^c^_ h c ¹3 S _ v _astse w u]_lc wjavtjIwyv u jHv c wyv ` j `t\>¯$Tc h _ v \ T h \ ¶ ¯$ a` h TW ¶ ¥ ¹^¹«>Q T h T h T]u.T w IT h \>u]_ v _ h^h^w aT _lc_ v d¨c w U"T ¶ _I\^d vO u Qth^javej `t\r\fc4_ h c ¹ hfj w H` h T¦WIriT\^T.Tc Q _lc¨`t\ wyv Yµm T v _a¥eT]\c Q T\ j ` h u!Tc j h TVU"_ wv _a\-u! j \^T_I\-s j \4\ w ¥eTc j c Q T_au!c^`$_l h T x ` wyh TVU¤ U"T v c^\ jI c Q T h TVu!T w IT h \^T.c jah wyv \^c^_ v u!T-y_dIT h \ | _ vt¦} _ h T x ` w u d th^j stsT _ cfT h c Q _Ic 4 6 Q _a\7¯ vew \ Q T Y.
(25) h T]u.T w wyv Cc Q T Qtj T¯T "PQ TsT h^wje \ Q T v c Q T_ h^wj `t\y_dIT h \_ h T wyvt T]T `t\^T _ h T h T]s h T]\^T v c^T wyv ¶E _ h^ , w Q c ¹ h T]dKYPp Q j T QeQ w cfT_ jh T] _a\>h u jHh^h tT]w\4s jHvevtj c j _`t\^T. T]\4v \ s h TV\fT v v u!T jl c Q Tyv _dIT Q h \ ¶Ëw vej¨h T]Q u.T w IT h _ h v dU w jahh T ¹ Q T v+vtY µmQ w \ w vtj c w`tc \^Tw \ T.c^T]u!c^c^T T c ¥H_ld-c \c Q T _ \ j ` ih T u.T PQew \ c w \_I\4e\4w`t\4U"u.`$T \^\^T _ ¨wdCv \^_IT]cfu.T c wu!jad¨v ¥Y$T. |ec× T.T c Tc U"T c T_a\fc TVu!T IT TV_ITV\_ c Tc U"T NIL. NIL. LAYER_REQ recv’d && accepted. LAYER_REQ recv’d && refused. layer already exists. layer doesn’t exist. send LAYER_REQ. LAYER_ASKED set layer_asked_timer send ADD_LAYER. ACCEPT. REFUSE send DROP_LAYER. DROP_LAYER received layer_asked_timeout ADD_LAYER received. ACTIVE. set softstate_timer unset drop timer. ACTIVE. softstate_timeout. IS_THERE_SOMEBODY PRESENT recv’d send PRESENT_OK. send QUERY set drop_timer. QUERY received. WAIT_BEFORE_ANSWER. drop_timeout. SEND_ECHO. PRESENT_OK recv’d (sombody else answered...). CHECK_DROP not yet possible. possible. DROP_LAYER. unset timers DROP_LAYER received. set wait_timer. DROP_LAYER received wait_timeout. SAY_PRESENT send PRESENT. set wait_ack_timer. send DROP_LAYER "remove" layer. PRESENT_OK recv’d. wait_ack_timeout DROP_LAYER received. NIL. %'(#+ . .-/ #. NIL. w H` h T |t«r¶¸©Hw Use w ¯$T ¹ wvtw c^T © c^_IcfT³_au Qewv T]\ jah TV_Iu Q _daT h u jHv c h^j T ¥Hd Yµmn P _I¥tTW «iYµm \ w v _l ws7 _lc wjav U"T]\4\^_I IT]\
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(177) ¶ ¹ t_I\ic Q T_aT h _l aT v `$U¥T hijl st_au T]c^\n\^T v cr¥$T]ciT]T v c Q Tc w U"TYc Q TYy_I\^c h T]u.T w IT h T]_aT]\r_ vt c Q T7c w U"T7 Q T vYµmª T.cfTVu!c4\c Q _Icc Qew \y_dIT hiw \ vej jav aT h `t\^T SPQ T h T jah T «
(178) ¶ $¹ / ¶ ¶ $ ¹ | 68 (*),+.- ¹ 2P ¶ $¹ Q T hh T « P ¶ $6l¹ w \Yh^jc Q Tc Q h _ v \4h U w \4w\j wjavh x _lc^T wjajahv c Qew \vt_daST « h]Õ T"r_ v c>c jC T]T]s
(179) ¶ $¹ ¥T. j _¯tbeT c Qth T]\ Qej jah _l y_dIT \
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(181) 6 (*)*+. V ¶ $¹ / P ¶ $ ¹ Õ T ejHv cYr_ v c ¶ $¹ c j ¥T]u j U"T v T] a_Ic w IT ¶ Qew u Q UTV_ v \ c Q _IcYc Q Tc4_ h IT]c u j \fc w \ vej c T]_a\ w ¥eT jah c Qew \_daT h3¹ \ j iT T.¯ v T _U wvtw U`tU _ly`eT « ´PQ T h T jHh T « | 2
(182) 6 C(*)*+.-l¹ ¶ $¹ / 45® ¶ 3 ¶¸|a¹ P ¶ $¹ Q h h h Q a0`'/bKa(b+b cq#b]\Nc^ v h w h v w vtjHv Q ÓÂ^ºÑ.Á$º!»±Ã!Å Â^ºÃº.ÊÈÔc º.ÂT ¿ ¾ºs$¼_ Ôº_IU"¼-T.¾c^¼T ÅIº.\ $U" _QtdCw u _QC¡±T]wyvu.cc4c ` h4T vC T]sT vt \ jav c j st_ h ° _aUstT]_ cfT ch \ u.« `t_ iT u]_ U_ T c TVs$T c T S wv u]_I\^T jl _ ¶ u jHv c wv ` j `t\ jHhvej c ¹ ¯$Tc h _ v \ T h _astse w u]_lc wjav ic Q Tc w U"T h T x ` wyh T c j h T]c h^w T]ITc Q T Qtj T¯$T « ) & ) % ¶ !" # $ ¹ °c^\_ly`eT T]sT v$ \ jav c Q Tst_au T.c\^u Q T `e wyv ¨\4u Q T]U"TaSc Q Ty_dIT % h K_ v$ c Q T¯T\ w 7 T ° v u._I\^T jl _lc4_ 5 j >\r IT v T h _lcfT -jHvO c Q T 5$daec Qew \>st_ h _aUT]cfT hiw \ jI u j ` h \fT7U"T]_ vewv IT]\4\ S c Q T v T]c jHh^ d v _aU w u w cd « ° v _ v ` v \^c^_a¥eT v T]c jHh^ Q T h Tu jHv ITV\fc wjHvx ` w u d_Is$s$TV_ h \. h T]u.T w IT h \ £h T x `eT v cfd k jIwyvCjah TV_IT7_"_daT h] ° v c Q _lc>u]_I\^TIOc Q T \ j ` h u.T\ Qej `e u Q TVu £h T x `eT v cfd w c Q T7 h^j `$st\r_ h T\^c w 8`t\^T ¨jahvej c ° ×T v T] IT]u.c>c Q T"\fTVu jHvt _Iu.c jHh ¶Etw ¬-u.`tcYc j T]_ly`t_lc^T_ v$Qew Q dC_ hfw _I¥eT ¹ $×Tu]_ vwyv c hfje `$u!T_u jah4h T]u!c wjHv c j T x `$_lc wjav+¶Ë|H¹ _I\ j j >\ « ) & ) % ¶ !" # $ ¹ / &" P# ¶ $ $ ¹ ¹ / ® ¶ 3 ¶ V| P2
(183) ¶ $¹ 6 (*),+.- 3 &" P# ¶ $ $ ¹ ¹f¹ ¶Ë}H¹ V ¶ '!(" # $ } tT.Õc4u Ðw ¹c )« Q P_" s j ¶ × $¹ T h×/ jl+|*-|", h 6 _I_cfTvt ew c \^Q c h^T w ¥tu.`e`tc Uwja`ev+_I¶£c wËw IT T \^h T_lvtcfT W7jHh st_I_u da T T.h c \ , {c w u c ".j ja ¨v w \ _« da& T h×P { S W ¶ $ja¹ v / _/| da*HT h WI |jav _daT hr| Y"jav _daT h wyv _ld w c w \×UTV_ vewyv `e±c jh T x ` wyh T>c Q _Ic ¶ $¹nh TVU"_ wv \ ½º.¾À d ¼7ÍlÊÈÔº.» ¼ aÊ Á ÄËÊ º OT]\4s$TVu w _ld jav cjHQ v T j ×Q T h _daTw h \ ° vth^j T]T ¨hwƶ ×T wvejajv Yja v}O I¹ T h Q u jHv¨v \Yw µYT m h c Q QeT7j u j \fc vwv cfhT h UQ \ jl s$v _Iu v T]c^\×¥t`ec wyv w c^T h U"\ hfjIj ®h TV\ j ` vh u!vtT]j \ h T x ` wh T T]_Iu U`ec u]_I\^c `ec^T \fTVu!c ac T \ `e T \4` Tc _Ici_ ` `t\^T U`ec u._I\^c´ `tsu._ cn¥T `t\^T jav aT h c Q _ v \^T]u javt \ PQ `t\ « | 2
(184) 6 (*)*+.- ¹f¹ V ¶ $¹ / ¶ 3 45® ¶ 3 ¶ YO¹ P ¶ $ ¹ -Ù £e Ý Ü £ 3254 10 oYvªw Us jah c^_ v c _au!c jahw \ c Q T-°^²Y³ g IT h \ wjav+wv `t\^T-_lcc Q T h T]u.T w IT h \ Õ w c Q °^²Y³ g ¢Wa®_ h T]u.T w IT h T]_ wyv _ h^j `ts ej TV\ vej c´c h dc jwvOjHh U _ v de¥ jO d PQ T h T jHh T _lc^_\fT v cic j c Qew \n hfj `ts T]T]st\ 5 j wv ` v c w c Q T j u._I¢U`ec w u]_I\^c h^j `ec^T h ew j h Q h w vejh w h v jHh Q v c(\98 c^ a;:C9 ±IPQ x h hfwje '<>=@?BA CDE.)F w \7\4W u | &IT \^T]\´u jac vtT \ T $ÐWa\ 2W ' iYT]µu.mT Iu.T _ vC_ twd\4u U j aT hTYc _lQ cnT c TTVst_ T!h bec^7c` h 6 T jl c Q T7y_I\^c h T]u!T w aT h ¥T T jah T T_a°^`e²Yc³ g `e±T W dw s$« T ¶ '!(" # $ C ¹ 68 (*),+.-HGH<>=I?JA CDE.)KF ¶& ¹ wv x wjHv ¶ ¹w Q v Yµm·tj vej Q j¦h Q s hML v jl g PQew w v _ te° w c wjav T _I `th _lTVc _I\ jav c & j- T!\ ¯ v _lT y\^TI_ nc T st_ h _aUTVT]\ cfT h c \4U_lT.ys T h c c Q _ T v `tW |u.T¨&"c\^T]u T jHvt \ _IcfT u!d °^²Y³ ±W \ \_ W{ . . . . . . . . .
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