Enhancing Location Service Scalability with HIGH-GRADE Yinzhe Yu

Guor-Huar Lu

Zhi-Li Zhang

Department of Computer Science and Engineering University of Minnesota

Department of Electrical and Computer Engineering University of Minnesota

Department of Computer Science and Engineering University of Minnesota

[email protected]

[email protected]

[email protected]

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HIGH-GRADE

SLALoM SLURP flat

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A

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level-3 square boundary

level-2 square boundary

level-1 square boundary

level-0 square boundary

level-3 square LSP

level-2 square LSP

level-1 square LSP

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1.5

1

0 50

100

150

200

250 300 350 400 Number of Nodes in the network

450

500

550

ï Í<ð:ñJò)Ç [È ^É 8 ô:Ç5ò)ÄðÇ.Æ<ËÑÄÌÍ<Ë:Φ‘ ñ ‚^ÄÌ#Ç'Ñ Ë:ó#Ì@ÄójÄHÏmñfÎfÑ ö ÌÍ<ËÎHËÏYÌ#ËÌ+ÄÆbÎ^ñ-wÅbÇ5òcËÏ3ÎJË,JÇ%óA>Ê9Ë,JÇ%óCEËô:Ç?ÄÌcóabÇ%ÇE ‰ñ Ì+Ë È …“’%Aó

5

HIGH−GRADE GLS

4.5

Average update overhead per node per second

5. km y , SIMULATION #+  W1Yb#=?8  RESULTS  , b8:+;<  =$ #b ;%q>kdr>q]2r>s]_]t-u

2

0.5

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HIGH−GRADE GLS

2.5 Average update overhead per node per second

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3

4 3.5 3 2.5 2 1.5 1 0.5 0

10

12

14

16

18 20 22 Maximum Speed (m/s)

24

26

28

30

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1

0.9

0.95

0.85

0.9

0.8

0.85 Query success rate

Query success rate

1 0.95

0.75 0.7 0.65 0.6

0.7 0.65

0.55

0.6

HIGH−GRADE GLS 150

200

250 300 350 400 Number of Nodes in the network

450

500

0.55

550

ï <Í ðñJò)ÇHÈ5ÒÉL”ZñJÇ5ò0 óñfÑÑÇ%óó/ò)ÄÌ#ÇxÄóZÄEÏmñfÎfÑÌ#Í<Ë:ÎËÏgÌ#ËÌ+ÄÆ Î ñ xÅbÇ%òhËÏYÎJË,JÇ%óAcÊ9Ë,JÇ%óCEËô:Ç?ÄÌcÄEÄ^Íwñ óabÇ5ÇE ËÏhÈ “’Aó 8: 5>=?5#^1g  , j8 h =?F>ua ,  =?A?D %=ÂD  +- y ,  # ^W^$=?(5 $8:##w y+&++ w:+21Y## v7#+ @  A=$l% =/=Þ=?)(% /8:#XFaŠ , -=$l% =/=Þ=?)(5 A8:#9;  , ] =A&  j ]•#²h=j³)Y!$0;O F`Š , gD cD =? &  D   Ö)× ;< ]  , 5%c &>™¢²?=?+ + #FCu`  ,  =/i)  6   ;< >œ² ²/## #W% & A1 , & ,  =?W% , 5># +D #[ (*0D c•)¢y ) & 9\+ #` -D  =~#d )  $ 5%##Fk2  , Z  #h8 #+ 5 #E:# 1-Wb  , D68: h / '(*+D   ;b(*y =A&  6  #F3‹ ]:  , ryJ˜9 9q>kdr>q]2r>s]_]t-uCW  , ? &? #  , ;[@ #(*#m²9 \) ? h0h 9:$™¢²6=?+ + #W  , xD =?   D  F~k2 e&-ryf˜  =/i)  #W[ ) & 8X) & / ,  + , &j &c•² ²/=?+ + #F ‹f   /•#²A , 1g3 , y(*+D> )  68X ]#dC g-;B +   . ;C‡EWJ , A  Da 5=/:+> ;3 5#- v , Z +21Y  4:F?Š ,  )  ¦8X p+d…O ;$ 5%)ˆ9 E%+ { x , p 5=Z :0w ;? ) & ¦8X .8 D4*+ 6 , v .   ) })w  ) /;B1C)Dv5!xj 5/8:0-## FAŠ , Z(*+DZ ) & 8X) 6#dj Z , 6)(+D  x(+j [ 5+? &  , 6 +21Y  4:F km wq>kr>q[2r>s>_[t-ugW 5%#> # +D) / ) & .8X h804+  1 , # c , +!-=?)(*a 0  \) Y:  ##W1 , 3 ZryJ˜XW)8%  #`) 3# +D #A8:+ 5  !Z b> 5#=?)(*+f=?  ` ,   , h ,  # ,  &x dD #F-_[[1Y/ x#WX , c ) & E8X)  +d` ;:: ,  , #=?++l ,  b%& b )1C , D Fkm /# =Z 8  Wq]kr>q]2r>s]_]t-up 1g]=A , =? y 1g !FaŠ , &g(   & #]]  !5 - # #W1 , + - , c   w8X -+d  ; , >m13Z , +=?#g c„Z…O†3  3‡xˆ3(5#F`„Z…O†㠇wˆ0F ‹f   -••g , )1gb , 3)(+D  [ )  $8X 3# d YY[;B +   / ;=$l% =/={ 538:+c;< `[Ÿ*²²] 5a +m13 4XFf_] ^W  , A =A&  x # >#  =Á%-  !5 h + #WX OF  F&WX ,  +d 6 )1´&  !e1g  ,  , v 5v8:#;< 6: , q>kr>q[ r>s]_]tyuÁ ¡ryf˜XF]Š , &x w:#' ,  , +w 5%p8:# D & +J  ,  , +^: )!y+   & CD #^ & -q]kr>q[dr>s]_]tyu  9 ,   +[8X >8:+ 5g wryf˜:F _ 1YY%#+ :XW)  , 5%a # +D) #f c(*+D  a;X•)¢C\+ # [  hD =Â%#d ) & C)(*+C , y =/i)  @ =?F‹f &  Z•™  , 1gg , -\+!$###CD)   OF F W , ] D  %=/:+Y ;+ +#d;B3\+ #c% (% &%v!x , /  Da 5=A:+y;g\+ #- .  =A&  x E ";B ]q>kdr>q]2r>s]_]t-u xryf˜6yZ;B +  ;g‡EF@‹cq>kr>q[2r>s>_[t-ugW@\+!v=$#!x;O &a/ 6 dh; 8X) -8 D4*+ #W ]:#c   w+ (+)…ODˆg:+ & ?\+  ,     ÷dd/=?)(*E  x , jf˜%‰¡(5 #  2!p  ,  h A!0/  D E , Z   ' & %;B =$  F9‹ /ryf˜:Wf\0!x;O  $ 

0.5

HIGH−GRADE GLS 10

12

14

16

18 20 22 Maximum Speed (m/s)

24

26

28

30

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1

HIGH−GRADE GLS

0.9

Average query overhead per node per second

100

0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 50

100

150

200

250 300 350 400 Number of Nodes in the network

450

500

550

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4

HIGH−GRADE GLS

3.5

Average overhead per node per second

0.5 50

0.8 0.75

3

2.5

2

1.5

1

0.5

0 50

100

150

200

250 300 350 400 Number of Nodes in the network

450

500

550

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Per−node location entry

150

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HIGH−GRADE Average HIGH−GRADE Maximum GLS Average GLS Maximum

100

50

0 50

100

150

200

250 300 350 400 Number of Nodes in the network

450

500

550

ÈEvÉ ÐÌ#ËòÄðÇ ò)ÇE.ñfÍ<ò)ÇEÇ%ÎÌÂÑËó#ÌÁËÏ 1325461 ö 4;7;8;:=< ÄóxÄÏmñfÎfÑÌÍiË:Î~ËÏZÎJË,JÇ"Î^ñ-wÅbÇ5ò.Í<Î}ÌúJÇ"ÎJÇ5Ì+ö ÷hËò+*H÷?Í<Ìú vÄ ^Í vñ  ÎJ,Ë JÇvaó bÇ5EÇ {È ’Aó ï Í<ðñJò)Ç

%c $dD / ) & E %;B  =$)  vd   x x , h0 (*+ #F-_[ 1Yc 6+W: ,  , #=?#g=$ D 9\5  -  d;O+  !w\+! ###gD +#F ‹f   A•#œh , 1gY , g # Y;< g\+!Z###YD) yCy;B +   ' ;[=$l% =/=â 5%$8:#.;B?6Ÿ²²x 5%? +m13  4:Fw_[ 1YZ E# W^1 , # v , /8:##v  , & , W , A\+!x###yD)   +=$  ,  , 9q>kdr>q]2r>s]_]t-uCW%C% 8g ,  8!9 wryJ˜XF o.g8:##&) g , ` , b 33 y , 313!/   $+ (+ Y)  8X) y hryf˜XF#k2 cryJ˜XW#1 , # cC 5 Ó #X g8X b  ;   ,  , &+(*#X+ (*+W% , ]8X y8 D4*+31g J:>;< 13D# A=$ ! Q M R ¬ Q W , D  + -g 5%3 /[ #(*#þ: \ >…B1g  , +   ?(&- ;þmˆ0FaŠ , - ,  #- ; , y#  ++[ +l5CD  + E  , d +8.%#8:# %y w , A#  ++ #-;Y , /   p  ;<  =$) & E 6 , A#% # > #(#mþY \5 F>Š , 0 +;B W & EryJ˜XW  , $8X) #c ;[ 13+/&+(*#Y0 (*+ h #. x8% ##%Z , $8%  #` ; ,  , 0a #(#+ (+ #W=$ 45 [ , ?§m# 5(*+  # +#¨y =?  F`km j;B #y; ,  , 5>8:+W5 , yryf˜$ , #=?] C 1{ &  8 ? $ 5%h=?  2!W + $ x=$ !9dD A ) &  +# D%] 9+ (*0 #F ‹f   ]•+Ÿg , 1gJ , a(*+D`&#  /\5+!]#dbfC;B +  ;a‡EF[Š , c   .\0!9# d/…O;aZ 5ˆg y%+ 6[ ,  5=/:+-;[\+!v804+ y;B1CD%p!E9 5%?8:+h## F Š , g(*+D  C   j\0!c#d`  , C(*+Dg)(*+`& 5%# w , c 0213 4:FcŠ , c # y , 1} , )yq>kdr>q]2r>s]_]t-u"  ryJ˜ , (*c =? i)] + [ 6 , # ]   E\+!@# d #W:1g  ,  , -q>kdr>q]2r>s>_[t-u'#d]=?01 ,  , & , +F`opc j + (  , Y  ,   ,  , [\5+!/D) g &Y\   ,  , …d•)¢-\0 &+a jœ² ² +# f;B , 5ˆ0W , a )  ?\0!-#df &=A , )1Y+  ,  e , w ) & ¡8X w# d'…O# =?8 "‹f   H•²  ‹f   E•+Ÿˆ0FHŠ , + +;<  9 , @)(*+D C#d?+=/  x ) & 8X) 9 H\+!.#d A &Z=?  p!. , @8X) @8F ‹f   .•¢E , 1gZ , 9(*+D  x ;] , Z(+D [#d?;< $:  , q]kr>q[dr>s]_]tyu¥ 'ryJ˜XFfkh &h# )A , A  ,   , q>kr>q[ r>s]_]tyuv+l , &   ,  , +b   $\+!c#d #W  `)(*0D +d # #>=A , :+ +g ,  xryf˜:F ‹  !Wf‹f % 9•£j8 #+ 5 ] , /d D  Z \  #=?# ]#dc; f q]kr>q[dr>s]_]tyux hryJ˜XF ‹ f  ,  =A&  h  W1Y3&+ &) / , A(*+D  / 5=A:+] ;a&#  v ## D%yd   #v E , 5v$ , x#  ;- , 6 =A&   =?F{km e   ^WC1Y  H " , x=$l% =/= 5=A:+$ ;- #+ D@p 5%xd   ##F _[313- 6#W% , y)(+D  -d  D  - \  #=?# C# d g ;f ,  m13E , #=?#$ 9# WC: ,  )1g p(*+!H 1g!FeŠ , ? 

6. k2 x , &CONCLUSIONS >8 8:0W:13 , (*A0l8   x , A#  E8 #A ;` , h&

) & H+ (5 &+j , +=?$;< Z , $ +21Y  45#Fxop , )(j+id  A#(*+D8% #(5 & !A8 8: / , #=?+b / ##A ,  D%# nX^ ;5 , 4+!-%#  - ,  #+#Ffop , (*8% ##  yq]kr>q] r>s]_]t-uCW3p +1Ú&#  V+ (5 #w , #=?91 , & , ;B#  +9 =/ & #(# , &0D  ,  Jd + % A 6=A mD #9   ;<  =$  ^FJo. , (*`#(# 8:yC  ;B =V , #  0 &# *;<D=?+ 13 4A c# =?8 C , C &  & m!$ ;q>kdr>q]2r>s>_[t-ux1g  , ;<%   , +3 , +=?##F`š>3  !% &Y , 1gY , )3q]kr>q]2r>s]_]t-u ,  & ++d Z ' , ? ,  +@&  2!=?+ #h13@+ XW   ,  g8:+ >d!%=?8   ]: #W%#8:#+ i !@1 , # @   7#V)D.Dƒ?v8) + e 6=?XFޚ>@ &=A&  e+l5 8:+ =?#  Z(  &) 6 , @ , #  0 &# ] ! $ # #FV¿Y   6 , #- # #W13h:# &+(*cq>kr>q[2r>s>_[t-u' &] w)D + (*  ,  #g ? =?8 #=?#  ]   j+ (5 #C;B3&  >  , g 0 13 45#FAkm v%  & ^WX13A:# #(*/ , y -+=?8)D (*Ad %!  ;Y , Z(  -   ' , +=?#y1g &`;O# & D) @9##8:0c  0 dD % ? ; , c &#g #& 9 Z , c#  w;`Z &     x+ (5 &+c;< ] , - 0213 45#F

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