Design and Analysis of a Spatially Aware Peer-to-Peer System ...

csee.umbc.edu

Design and Analysis of a Spatially Aware Peer-to-Peer System ...

\^] Y8_a` `"Y b\' OcMH5(-Nd;5(3eF Ocf83Gg05(h8/ XZY8[ 5(-NF0+QMj?(@ABEkQ/2+Q38k.+(lnm(o4o4p i ),MQWyx^?43z-NF{5=3|F0/J38?(-jx}5=


& _ ' -^`/.au4Y 38/214+QMN-0/ F >„?(@ i 5(MN>$


` tG u b `*r£¢ ' ),MQWAx ?(38-NFH5(3eFH/J3z?4-x}5=©D?4D8f8 5(MN+6-N+Q+.3§5(- ?4h1$/J?4fz-CMN+QD8


d8?4Dz-FH5(~(+.3¢h|> 5 VC+Q-N-H5(1(+FH? M0+Q5(k{d / FH-s7z+Q-NF0/J3;5GFH/J?(3 78?E+.-„38?(Fk{d;5=3814+ Kj/2F0d§FHd8/2-„38+.K 5(MNMH5(381(+QVC+Q3eF%W ¨ d8/J-/J-jh+Qk%5=f8-0+ /2@PF K€? kQ?4383z+Qk.F0+Q7 38?$78+.-:5(MN+ kQ


d8+.-0/J-j-Nf8h8VC/2F0F0+Q7„FH? FHdz+D\5(k.f8 ?(@PFHd8+ ^MH5(78f85=FH+}BEk{dz?E?4< ¨ 0 38/214+.M0-0/ F >?(@ i 5(MN>$


¢¡¤£¦¥¨§© /


¡ £¢ ¤ ¥§¦ ¨© © ©¤ +^K ?4f8£5(7,1$/2-0?4M.ly),MQWx^?43z-NF{5=3|F0/J38?(- x 5(


]! Yzv b|t _ bt `/.Pu & _ ]! Yzv b|t'& ( E Y b `) \t+*, - + 3eFH+QMN+Q-SFNR h85(-0+.7 ?EkQ5( W}W W}W}W W}W W}W W W}W}W W}W W}W}W W}W W W}W W}W}W . + + OcM0? E/JVC/2F > +Q/214d|hn?(MBE+Q


¡ " +Q5(1(+Q- 5(387 D\5(/J


]! Yzv b|t ¤ - ¡ v |t= [ _ # / - ‚ zD+QMN/JVC+Q3eF{5=


¨ ¥£. ¡ ¡¤£ EW2 €?4VCD;5(M0/2-0?43„?=@ D+QMS@?4M0V 5(38k.+ 5(3876


¨ ¥£ ¡ ¥ §£¢$%¡¤£ 5 $fz+QMN>MN+%5(


bo4o4o(o 78?Ek.f8VC+Q3eFH-.lm MN/J3814-.l8V f8< FH/2D8


© ¢¡¤£¦¥¨§© ¥©¥ ¨ d8+ D+Q+.M,FH?Dn+.+QM ¤&O m=O ¦:D85(MH5(7z/J14V d;5(-^h+Q+.3£1e5=/J38/2381 D?4D8f8/23 M0+.kQ+Q3eF FH/2V +.-QW ¨ d8+?4VC38/JD8MN+Q-N+Q38k.+?=@ FHdz+ + 3eF0+QM03z+.F€5(387C+Q3eFH+.M0D8MN/J-0+38+ F K€?4MN~|-L5(


m ?K + 1(+QM.lyF0d8+s5=M0k{d8/ FH+Qk FHf8MN+ ?(@ 5O m(O-N>$-NF0+QV M0+ 1(?4< 1(+Q- 5(MN?4f8387¥FHd8+ V ?(-NF kQ?4VCV ?(3 5(3876/JVCD?4MNFH5(3eFL@f838k FH/J?(36F0d;5=Fd;5(-jFH? h+ /2V D83z?E78+/J3ZF0d8+ -S>E-SFH+.V FH? Kj/2FHdz/J3k.?438-NFH5(3eF^h?4f83878-,5(387FHd|f8- FHd8+ „?=@aF0d8+ 38+.F K ?4M0~\W


p nbt .au . t ` BE? @&5(MFHd8+¥V ?(M0+¥-0f8k.kQ+Q-N-N@f8< 5=F0F0+QVCDzFH-FH? D8M0?(1$/J7z+ 5¥ ¡ ¤ ¨ 5=M0k{d8/ FH+Qk FHf8MN+¥@?(M O m(O -S>$-NFH+.V -^d85(1(+ @?Ek.f8-0+.7¥?(3 /JVCD8V 5(Dz-LFH?8W ‚ z5(VCD8$-SFH+QVC-/J38k. !5(387ä5(Dn+.-NF0MN> ! W + 3 FHd8+ @?4(Ws€dz?4M07£/J-^78+ R -0k.M0/2hn+.7Z(lz+Q5(k{d 38?$78+d;5(- 5 bm )GR hz/2Fc/278+Q3eFH/ ¨;+QMcF0d;5=F k%5(3 hn+kQ?(V D8fEFH+Q7 he>C5(D8D8< >E/2381}5 -0+.kQf8MN+,d;5(-Nd @f838k FH/2?43 ?43CFHd8+ 38?$78+Q- D8f8h8C?4M +UO 5(7z78M0+.-0-QWy9 3|>C14/214+.3 ~(+ > /2- MN+Q


M0?(fzFH+.7 F0?FHd8+„3z?E78+sKjdz?4-0+„/278+Q3eFH/ ¨;+QM /2-FHdz+„kQ 5(VC?4381 5(


% ?(14+.M0Z/J- V /238/JVC/ ¦.+Q7 l8F0d8+QMN+Kj/J/J3z@?(M0V 5=FH/2?43 /23z@?4MNV 5=F0/J?43 FH?V 5(~=+ -N+%5(MNk{d„V ?4MN+j+¡ CkQ/2+Q3eF 5(3z7 M0+.D8


© ¢¡¤£¦¥¨§© ¡ §£¢ ¡ ¥¨§ ¤ ©¦¥ + 3¢FHd8/2- FHdz+Q-0/2-„K€+¥5(MN+FHMN>$/2381 FH? D8fzF„@?(MNK€5(M07 5(3 5(MNk{d8/2F0+Qk.F0f8M0+ Kjd8/2k{d Kj/JE-SFH+.V -.W ! + 5GF0FH+.V DEFsFH? 5(k{dz/J+ 1(+ FHd8/2- f8-N/J381}FH+Qk{dz38/ |f8+.- FHd85=F€+ED8$/J381s@?(M:-0?(V + -0D+QkQ/ ¨;k k.?43eFH+Q3eF^/2-:VC?4M0+ „FH? ¨8387FHd;5GF kQ?(3|F0+Q3eF ?4365 D+Q+.M FHd;5=F-Nd;5(M0+.- FHd8+ -H5=V + /J3eF0+QM0+.-NF0- 5=-/ FH-N+Q/J- 78?(38+ he> D8/2141(>$h;5(k{~|/J3z1 /238/2F0/I5(< §;?$?$78/J381 $fz+QM0/2+Q-„Kj/2F0d¢M0+ |f8+.-NF0-6F0? k.M0+Q5=FH+ -0dz?4MNF0kQfzF0-QW ¨ d8+.-0+ -0dz?4MNF0kQfzF0-„5(M0+ZFHd8+.3§kQ?43eF0/J3|f8?4f8-N MH5(3z~(+Q7 h85(-0+.7 ?(3*FHd8+./JMCDn+.M0k.+Q/ 1(+Q7¢f8-N+.@f8


Kjd8/2k{d -Nd8?4MSFHkQfEFH- FH? + 1E/2k.F / @ -ND;5(k.+„/J- 38+.+Q78+.7 F0? kQM0+Q5=FH+„VC?4MN+s-0d8?(MNFHk.fzFH-.W ¨ d8+65(fzF0d8?4MN- 5($-NF0+QV Kj/J$-NFH+.V - Kjd8/Jk{dsfEFH/ R h+.F K +Q+.3„38?E7z+Q-€/23CF0d8+f83878+.M0$/2381 3z+.F K ?4M0~\W L5(-NF0M0? +.F€5(< "! V +.3eFH/J?(3 p 7z/ n+QM0+.3eF:K€5b>$-^/23ZKjd8/2k{dFHd8+ D8M0? E/JVC/2F >?=@c38?$78+Q- k%5(3h++ED8$-SFH+QV6W t ¡ [ ¢ X $ n! r t E u _ + 3 5D+Q+QM}FH?6Dn+.+QM -N>$-NF0+QV +%5(k{d 3z?E78+Cd;5(- FH?Zd;5 14+ -0?4VC+ /23z@?4MNV 5=F0/J?43 5=hn?4fEF -N?4VC+ ?(F0d8+QM 38?$78+.-/23sFHd8+^-S>$-NFH+.VZl;/23„?4M07z+QMLFH? h+ 5(h8


¡ | \t Y8v !a u4Y yY ¢ . ) t ¡ [ ¢ (s . b _ + 3*F0d8/J- F0+Qk{d838/ |f8+(l FHdz+ZMN?4fzFH/2381 F{5(h8 D8MN?E/2V / F >/23z@?4M0V 5=F0/J?43 5GF}5(


' d8?(F -0D?(F0-QWD;f8MSFHd8+.M0VC?4M0+=l D8MN?(FH?$kQ?(£78+.Dn+.387 ?43£F0d8+ 3z?E78+.- FHd85=F 5(M0+€kQ


© ¢¡¤£¦¥¨§© ¡ ¥£¢¤¡ ¥ _ bt `/.au b& _ % ]!P\t ` €d8?(M07 ! D8MN+Q-N+Q3eFH- 5C78/J-SFHM0/2h8fzF0+Q76$-NFH+.VZW ¨ dz+ D8$-€/2-yh;5(-0+.7 ?(3 k.?438-0/2-NF0+Q3eF€d85(-0d8/23818l4Kjd8/2k{d d;5=- 14+.MN> 14?E?$7s FH?}V 5(/23eF{5(/23 5 h85($-NF0+QV FH?h+ 5bK€5(MN+,5(h?4fzF + 1(+QMN> ?(F0d8+QM 38?$78+:/23CF0d8+:-S>E-SFH+.VZW ‚ CkQ/2+Q3eF M0?(fzFH/2381k%5=3 hn+„5=k{d8/J+ 14+Q7 he>©d85(1$/2381 538?$78+ FH? d85(1(+„/J3z@?(M0V 5=FH/2?43©5=hn?4fEF ?438< > 5Z-0V 5($-NF0+QV6W ‚ 14+.MN>38?E7z+ 5(387~(+.>/J- 5(-0-N/J143z+Q7 5(3 R h8/ F:/278+Q3eFH/ ¨;+QM.W ¨ dz/J-:/278+Q3eF0/©¨;+.M:/J- 5(MNM0/ 1(+Q7 5GF he>„d;5(-Nd8/J3z1 F0d8+^38?$78+ - +UO RU5(787zM0+Q-N-QW§¨ d8+ /J78+.3eFH/©¨8+QML@?4M€F0d8+ ~(+ >„/J- kQ5((W ¨ d8+}MH5=3814+^?(@a/J78+.3eFH/©¨8+QM0-jD?4-0-N/Jh8$-Ql\@?4Mj5(3 RTh8/2Fj/278+Q3ER FH/ ¨;+QM.le/J- o^FH? m¥ 4W ¨ dz+Q-0+/J7z+Q3eFH/ ¨;+QMN- kQ5(3 h+ 1$/J-0f85(


38?$78+Q-.W€9 ~(+ >Kj/2FHd6/J7z+Q3eFH/ ¨;+QM¡ sKj/Jh+Q/2381 $- h+ @?4f8387 W + 3 F0d8/J- k%5(-N+(lcKjd8+.M0+„+%5=k{d 3z?E78+ /J- 5%K€5(M0+ ?(@?438¥/ FH--Nf8kQk.+Q-N-0?4M.l FHdz+ C@?4


m ¨ d8+ ¨83814+QM F{5(h8 @?(M 5MN+Q-0?(f8M0k.+Z5=387©FHdz+5(< R 14?4MN/2F0d8V f8-0+.7¥kQ5(3 h+ 78+Q-NkQMN/Jh+Q7¥5(-:@?4 /J-^/238/2F0/I5=F0+Q7 5GF 5„38?E7z+C3 W ?bK l"/2@ ¡ @&5(


-0f8k.kQ+.-0-0?(M


K ?4M0~|/J3z1 ?(@aFHd8+}-N>$-NF0+QV6W ?bK + 1(+QMQln-0?4VC+}?4Dn+.MH5=F0/J?43z-kQ5(3h+ k%5(MNM0/2+Q7?(fzFjFH?C/JVCD8M0?(14+ FHdz+ D+QMN@?(M0V 5(38kQ+:?(@aF0d8+^-N>$-SFH+QV Kjdz+Q365 38?E7z+^


W pzW24W ?4Dz-^?43 FHd8+ k.?438-0/2-NF0+Q3eFH< >d;5(-Nd8+Q7¥M0/2381skQ5(3 hn+ 5(k.M0?4-N- $/J381}38+.F K ?4MN~lEV 5=~$/2381^FHd8+jFH?=F{5(„d;5(-Nd8+Q7€d8?4MN7ZMN/J3818W ¨ d8+}5(k.F0f;5(<


W;pEW mEW ¨ dz+}F0?(F{5(< 78/J-SF{5(38k.+^FHMH5 1(+Q$/J381 38+ F K€?4MN~„/J- 78/2M0+.k.FH< > ¢¡¤£ FHdz+}7z/J-NFH5(38k.+ F0MH5 14+.


© ¢¡¤£¦¥¨§© ¡ §£¢ ¥¤ + 3 F0d8/J-yk{d;5=DzFH+.M K +:/J3eF0M0?$78f8kQ+jFHdz+ D8MN+Q 78+.-0/2143 ?(@ ?4f8M -N>$-NF0+QV6W ¨ d8/J- + ED8s/J3E@?4M0V 5=FH/2?43s/23|F0? €d8?4M07Z5(387Z5(


() h+.F K +Q+Q3 F0d8+ F K ?sD+Q+QMN-,/J3 ‚ f8kQZf8-0/2381 F0d8+$-0/JkQ5(<


(' # " t$ [ _PY t ¢ (s$# . # OcM0+. + ED+QMN/JVC+Q3eFH- M0+ 14+%5=


m(o . _ # rPY #Q ` _ ]& &#% _ q w `"Y;_Pu ¡ ( Y8u w Y;` Y Y;_Pu _ £¢ BE/238kQ+„€d8?4M07©/J-h85(-0+.7 ?43 5d;5=-0d8/2381-0k{dz+QVC+(lcFHd8+ kQ?4


V ¡ . _ # rPY #Q ` _§Y _ & vaY b Y & ¢ q ¨ Y t(„ _ Y;_P` (s v u4Y _ m 78?$kQf8VC+Q3eF€?43„538?$78+=W ¨ d8+,MH5GFH+:?=@ M0+$fz+Q-NF0- @?4M F0d8/J- 78?$kQf8VC+Q3eF 5GF 5-N/J3814Ch+ -0f k./J+.3|FFH? ?(14+.M0


© ¢¡¤£¦¥¨§© ¡ ¡ ¤ ¢ ¨ d8+D8MN?4h8


m(p M0/23814-.W ,38+ ?(@AF0d8+MN/J3814-/J-jFHdz+?438+ V +.3eFH/J?(38+Q7 5=hn?(14+=lnKjd8/2k{dK + Kj/J


m # " Y wn$# BE/2V /2$-SFH+QV6l F0d8+ D?4/23|F0+QMN- FH?Z/2F}/J3¥h?(FHd MN/J381(- Kj/2


% m 1E/J5=FH/2?438-,?=@ F0d8+ V +Q5(3


¢¡¤£ W %$W 4Wc9¥¤§¦©¨ |f8+QMS>-NKj/2F0k{d8/J3z1CMN/J381(-Ql8h+QkQ5(f8-0+}?(@ 5 }/J3„FHd8+ -ND;5=FH/J5(< MN/J381 m . query initiated A document found on the plain ring, served and inserted into the spatial ring D C B required doc not found, query forwarded to plain ring )^5=FH5 5=kQkQ+.-0-cD;5GF0FH+.M038-P@?4M"kQ+.MNF{5=/J3k.$-NF0+QVC- -0fz1414+Q-SF F0d;5=Fc5 14+.MN>}-0V 5(M05(M0+.4W ¨ d8/2- VC+%5(38- FHd85=F%lL/ @:K +V 5(3;5(14+„F0?©~(+.+QD§F0d8+Z@MN+ |f8+Q3eF0 5(kQk.+Q-N-0+Q7¢78?$kQfzV +.3|F0- /23 FHdz+ -0D85=FH/J5( 5%K€5(M0+M0/23818l4FHdz+QM0+ Kj/2


m 9 -C/2- ?4h1$/J?4f8- @MN?4V F0d8+5(h?(14++ |f;5=F0/J?43z-Qly@?4M FHd8+„-S>$-NFH+.V Kj/2F0d F K ?¥M0/J3z14-Qly+ 1(+QMS> M0+|f8+Q-SFd;5=-}F0?61(?Z5=M0?4f83z7¥F0d8+ -0D;5=F0/I5(< M0/J3z18W ä?6V 5(~(+ ?4f8M,F0+Qk{d83z/ |f8+C+n+Qk.F0/ 1(+(laF0d8+ d8/2F MH5GFH/J?-Nd8?4f8


m ) © ¢¡¤£¦¥¨§© ¡ § £ ¢ ¡ ¥ X $ ` t (s v & u4Y & _ ÿ>$D8/JkQ5( /J3©56-NkQ+Q385(M0/2?ZKjd8+.M0+ F0d8+ ¨8$-SFH+QV 5(MN+ K +Qh§78?$kQfzV +.3|F0-Ql 38?=Fs5(


m ' M0+Q5(


¡ !P t;b u p4o (s v u4Y # _ !" vaY Y („ _ ! + d;5 14+ +.-NFH5(h8


p, Kjd8/2k{dZ7z?Ek.f8V +.3eFH-j38+Q+.7ZF0?Ch+ M0+.D8


V pem pzW ¨ d8/2-€k.?4V Dz


p4p Kj/2


d8+ FH?(FH5(< 3|f8V h+QMj?(@a78?$kQf8VC+Q3eF0-/23„FHd8+ -N>$-SFH+QV ¤ ¨ d8+}k%5(k{dz+}-N/ ¦.+ ¤78?$kQf8VC+Q3eFH- =38?$78+¦ ¤ ¨ ¨ d8+}V 5 z/2V f8V 3|f8V h+QMj?(@aM0+QDz


p % @M0+|f8+Q3eFH< >s5=387s-0?(V + ?(FHd8+.M0- Kj/J$-NF0+QV Kj/ FHd %(o4o 38?E7z+Q-^5(3z7 5$bo4o4o 7z?Ek.f8V +.3eFH-FH?5(k{dz/J+ 1(+ ?4f8M:FH5(M01(+.F,dz/2FNR MH5GFH+ ?(@ )4o sl 5=387¥5(


¥¢¡¦£ §© ¤£ § ¥ ¢ p . © ¢¡¤£¦¥¨§© - ¡ v $tG [ _ Y | .Pv ! + MH5(3 5 -0+QMN/J+.-^?(@y+ ED+QM0/2V +.3eFH-Ql F0?„f83878+.M0-SF{5(387 F0d8+ hn+.d;5 1$/J?4M ?(@yFHd8+ -S>$-NFH+.V Kj/2F0d F K ?CMN/J381(-j5(387sFHdz+ 5= +.D8M0+.-0+Q3eFH5=FH/214+ + 3|F0+QMN38+.F FH?4D?4 1(+Q38+.MH5=F0?4M ¦ /2-c?438+j?(@ FHdz+,V ?(M0+Dn?4Dzf8E-SFH+.V


¢¡¤£ W $W 4W ¨ dz+ 78/2-NF0M0/JhzfzFH/2?43s?(@ 5(


¢ /2Dz@ -c M0+Q-N


©$¡ %'&$(*)+,¡- ./§©01*)+,¡- 2,43 ¡"1&© 5 # #8 §©£" 9:


§©£*©¡ ¡ ¡©£¢ §!©" +,¡¤01&¤© # £¦¡ D @ 9F ä5(h8


¢¡¤£ W EW pzW €?4VCD;5(MN/J-0?(36?=@aF0d8+ d8?4D8- F{5=~(+Q36D+QMjM0+$fz+Q-NFQl5(kQMN?4-0-jFHd8+}p -N>$-SFH+QVC- 11 10 Comparison of mean hops taken per request serviced − 3 cases Only Plain 2 Rings − Single Replica 2 Rings − multiple replicas 9 Mean hops per request 8 7 6 5 4 3 2 0 5 10 15 20 25 30 35 40 45 50 Window no FHdz+67z?Ek.f8V +.3eFH-QW j+QD8


¢¡¤£ W§EW 8W ?e5(76/J3sF0d8+ -N>$-NF0+QV @?4M D8


¢¡¤£ W§EW%EW ?e5(7/J3„F0d8+ -N>$-NF0+QV @?4M€d8?(M07Kj/2FHdZm M0/23814-Qlz-0/J3z14


W$W.zW ?e5=7 /J3©F0d8+„-N>$-SFH+QV @?4M €d8?(M07 Kj/2F0d mZM0/23814-.lcV f8


W EW $W ¨ d8+ Dn+.MN@?4MNV 5(3zkQ+^?(@PFHd8+ -S>E-SFH+.V 7z+.FH+.M0/2?4MH5=F0+Q-5(- 78?$kQfzV +.3|Fk.?4f83eF/J- ¡¤£ l;/2@aM0+.D8


W EW )zW ¨ d8+}3|f8V h+QM ?(@ M0+.D8


W§EW 'zW ¨ d8+}3$fzV hn+.Mj?(@ MN+QD8$-d8/J14d„F0d8M0?4fz14d8?4fzF F0d8+ -0/2V f8


W EW %ozW /2-NFH?(14MH5(V @?4MLF0d8+ E-SFH+.V Kj/2FHd?43z F0d8+ D8 1000)


W EW2mEW /J-NF0?414M05(V @?(MLFHd8+ $-NF0+QV Kj/2F0dZm MN/J3814-j5=387 ¢¡¤£ fz


W $W zW}€?4V D85(M0/2-0?43?=@ F0d8+ $-NFH+.V Kj/2F0dF K€?MN/J3814-@?4M,78/ +.M0+.3|F*1(5=


© ¢¡¤£¦¥¨§© © ¢ ¢ ¡ ¨¢© ¥ §© ¤ © ¥ + 3 FHd8/2-:FHdz+Q-0/2-^K€+ D8MN?4Dn?(-0+C5s38?(14+.< 5=M0k{d8/ FH+Qk FHf8MN+ @?4M^5„Dn+.+QM^FH?D+Q+.M^-N>$-NF0+QV6l"Kjdz/Jk{d $-N/Jk%5=$-NF0+QV VC?4MN++¡ CkQ/2+Q3eF%W ,f8Ms-S>$-NFH+.V /J- h8f8/J< F ?(3§FH?4D ?(@ €dz?4M07 ljKjd8/2k{d /2- ?43z+?(@ FHdz+ 5=M0k{d8/ FH+Qk FHf8MN+Q- FH?6h8f8/2


%4m FHd85=F,K + D8M0?4D?4-N+(W ¨ d8+ VC+%5(-Nf8M0+.V +.3eFH-^k%5=3 hn+ VC?4MN+78+ F{5(/2$-N/Jk%5=< 7z/J-NFH5(38k.+ hn+ F K€+.+Q3©F0d8+ 38?E7z+Q-QW + 3z@?(M0V 5=FH/2?43 5(h?4fzF^FHdz+ |f;5=?(@ FHd8+


¡( ¡¤$%¡¤©¢¡ ¡¤£ ! )^5 1E/27 We9:3z78+QMN-0+Q3 l :5(MN/ L5(


¡ ¡ % ' !}9:$< 1$/I55=FH3;5=-H5(V>(lOa5(f8< D;MH5(38k./J-.l i 5=M0~ :5(3z784l j/Jk{d85(M07 x}5=M0D l5(387 B$kQ?(FNF BEd8+.38~(+.MQW€9 -Nk%5( BEkQ5(


% % () !+ ?43 B|FH?4/2k%5zl j?4hn+.MNF i ?4MNM0/J-.l)^5(1$/27x 5(M01(+QMQlAD;MH5=38-:x 545=-0d8?$+Q~\ln5(387 5(M0/ L5(

More magazines by this user
Similar magazines