[PPT] - R e v i s i t i n g G o s s i p - b a s e d A PowerPoint Presentation

SLIDE 1

R e v i s i t i n g G

s

s i p

b

a s e d A d

h
c

R

u

t i n g

A l b a n a G a b a S p y r

s

V

u

l g a r i s K

n

r a d I w a n i c k i Ma a r t e n v a n S t e e n

SLIDE 2

I n t r

d

u c t i

n

P e e r c

m

m u n i c a t i

n

i n t h e c r

w

d ( m u l t i c a s t )

H

e a r t b e a t m e s s a g e s f

r

g r

u

p c

m

m u n i c a t i

n
M
b

i l e w i r e l e s s a d

h
c

n e t w

r

k

S c a l a b i l i t y I s s u e s

R

e l a t i v e l y l a r g e n e t w

r

k ( 1 + n

d

e s )

A

l l n

d

e s a c t a s s

u

r c e s

SLIDE 3

A l l

t
a

l l b r

a

d c a s t s c e n a r i

g

e n e r a t e s h i g h t r a f f i c G

a

l :

H

i g h c

v

e r a g e

f

m e s s a g e s

M

i n i m a l u s e

f

r e s

u

r c e s

>

m i n i m u m n u m b e r

f

f

r

w a r d e r s

P r

b

l e m S t a t e me n t

SLIDE 4

C

n

t e x t

n

me s s a g e d i s s e mi n a t i

n

P r

b

a b i l i s t i c [ H a a s 2 ] , [ N i 9 9 ]

N
d

e s f

r

w a r d w i t h a g i v e n p r

b

a b i l i t y

p

P

r

s

: s i m p l e

C
n

s : c h

i

c e

f

p

i s c r i t i c a l

O v e r l a y

b

a s e d [ P e n g ] , [ W u 3 ]

C
n

n e c t e d s u b s e t

f

n

d

e s t

f
r

w a r d m e s s a g e s

P

r

s

: m i n i m a l n u m b e r

f

f

r

w a r d e r s

C
n

s : n

t

s u i t a b l e f

r

d y n a m i c n e t w

r

k s a n d n

t

r e s i l i e n t t

p

a c k e t l

s

s

L

c

a l k n

w

l e d g e [ N i 9 9 ] , [ H a a s 2 ] , [ E l l i s 9 ] , [ P l e i s c h 6 ]

N
d

e s f

r

w a r d b a s e d

n

l

c

a l i n f

r

m a t i

n

f r

m

n e i g h b

r

s : m e s s a g e c

u

n t e r , R S S I , l

c

a t i

n

e t c .

P

r

s

: s i m p l e , l

c

a l i n f

r

m a t i

n

r e q u i r e d

C
n

s : p a r a m e t e r s a r e t

p
l
g

y d e p e n d e n t

SLIDE 5

G

s

s i p 3

P r

b

a b i l i s t i c + l

c

a l i n f

r

m a t i

n

1 .

F

r

w a r d a r e c e i v e d d a t a p a c k e t D w i t h p r

b

a b i l i t y p

2 .

O t h e r w i s e , s t

r

e D a n d w a i t f

r

a s h

r

t i n t e r v a l t F

r

w a r d D i f i t h a s n

t

b e e n r e c e i v e d b a c k b y a t l e a s t m n e i g h b

r

s d u r i n g i n t e r v a l t

P a r a m e t e r s

f

G

s

s i p 3 :

p
i

n i t i a l p r

b

a b i l i t y

f

f

r

w a r d i n g a m e s s a g e

m
m

i n i m u m e x p e c t e d n u m b e r

f

n e i g h b

r

s t

r

e c e i v e a p a c k e t f r

m

probabilistic compensation

SLIDE 6

O u t l i n e a n d c

n

t r i b u t i

n

T h

r
u

g h e v a l u a t i

n
f

G

s

s i p 3

P

a r a m e t e r s p a c e

B

e s t p e r f

r

m i n g p a r a m e t e r s f

r

v a r i

u

s n e t w

r

k c

n

f i g u r a t i

n

s

R e v i s i t G

s

s i p 3 a l g

r

i t h m f

r

s e l f

d

e t e r m i n i n g t h e

p

t i m a l p a r a m e t e r s i n a n y n e t w

r

k c

n

f i g u r a t i

n

SLIDE 7

5 2 9 n

d

e s u n i f

r

m r a n d

m

d i s t r i b u t i

n

t

r

u s ( n

b
r

d e r s ) t

p
l
g

i e s : a v g . n

d

e d i s t a n c e

5

, 1 , 1 5 , 2 m

m a x c

m

m u n i c a t i

n

r a n g e : 5 m d u m m y p a c k e t s a t M A C l a y e r t

s

i m u l a t e c

n

g e s t i

n

O m n e t + +

E x p e r i me n t a l s e t u p

Avg. Node Distance Avg. Neighbors Network Diameter MAC TX success Ratio ∆ = 5m

105 2 0.39

∆ = 10m

19 5 0.52

∆ = 15m

10 10 0.53

∆ = 20m

5 27 0.53

SLIDE 8

G

s

s i p 3 e v a l u a t i

n

: C

v

e r a g e

m=0 m=1 m=2 m=3

N

c
m

p e n s a t i

n

SLIDE 9

G

s

s i p 3 e v a l u a t i

n

: f

r

w a r d e r s

F

r

w a r d i n g p r

b

a b i l i t y ( p) i m p a c t s g r e a t l y

n

f

r

w a r d e r s ( ! ) V e r y l

w

p i s n

t

s u i t a b l e

m = 1

C

v

e r a g e F

r

w a r d e r s

SLIDE 10

G

s

s i p 3 e v a l u a t i

n

: f

r

w a r d e r s

C

v

e r a g e F

r

w a r d e r s

M a x c

v

e r a g e f

r

∆ = 2 m H i g h r a t i

f

f

r

w a r d e r s m = 3

SLIDE 11

G

s

s i p 3 e v a l u a t i

n

: L a t e n c y

m=0 m=1 m=2 m=3

SLIDE 12

O b s e r v a t i

n

s

T

r

e a c h

p

t i m a l p e r f

r

m a n c e ,

n

e s e t

f

p a r a m e t e r s c a n n

t

f i t a l l n e t w

r

k s .

R

e l a t i v e l y d e n s e n e t w

r

k s s t r i v e f

r

k e e p i n g f

r

w a r d e r s t

m

i n i m u m

I

n s p a r s e n e t w

r

k s , h i g h n u m b e r

f

f

r

w a r d e r s i s r e q u i r e d t

r

e a c h m a x i m u m c

v

e r a g e

Q u e s t i

n

: c a n w e d e c i d e t h e s e t

f

p a r a me t e r s b a s e d

n

t h e n e t w

r

k d e n s i t y ?

SLIDE 13

O b s e r v a t i

n

s

n

G

s

s i p 3

B e s t p e r f

r

m i n g c

n

f i g u r a t i

n

s f

r

v a r i

u

s n e t w

r

k d e n s i t i e s F

r

w a r d i n g p r

b

a b i l i t y ( p)

f

e a c h n

d

e a s f u n c t i

n
f

t h e i r n e i g h b

r

h

d

s i z e

SLIDE 14

O b s e r v a t i

n

s

n

G

s

s i p 3

B e s t p e r f

r

m i n g c

n

f i g u r a t i

n

s f

r

v a r i

u

s n e t w

r

k d e n s i t i e s F

r

w a r d i n g p r

b

a b i l i t y ( p)

f

e a c h n

d

e a s f u n c t i

n
f

t h e i r n e i g h b

r

h

d

s i z e

( ! ) T h e f

r

w a r d i n g p r

b

a b i l i t y ( p) f

l

l

w

s a p a t t e r n . C u r v e f i t t i n g t e c h n i q u e t

d

e t e r m i n e t h e f

r

w a r d i n g p r

b

a b i l i t y .

f (N )=1−0.87∗e

−50 N 2,3

SLIDE 15

E s t i ma t i

n
f

n e i g h b

r

h

d

s i z e

I n w i r e l e s s n e t w

r

k s d u e t

s

i g n a l a t t e n u a t i

n

, p a c k e t c

l

l i s i

n

s , e t c . , i t i s h a r d t

d

e f i n e a n e i g h b

r

N e i g h b

r

h

d

s i z e e s t i m a t i

n

:

U

p

n

p a c k e t t r a n s m i s s i

n

n

d

e s i n c l u d e p a c k e t s e q u e n c e n u m b e r

C
m

p u t e P a c k e t R e c e p t i

n

R a t i

(

P R R ) f

r

e a c h n e i g h b

r
C
m

p u t e n e i g h b

r

h

d

s i z e

f

a n

d

e

i:

N (i)=

∑

k ∈{nodes∈theradio rangeof i}

PRR(i ,k)

SLIDE 16

R e v i s i t i n g G

s

s i p 3

1 . P r

b

a b i l i s t i c ( p ) 2 . C

m

p e n s a t i

n

m e c h a n i s m

F
r

w a r d w h e n a m e s s a g e i s r e c e i v e d b a c k b y l e s s t h a n m n e i g h b

r

s

1 . D y n a m i c a s s i g n m e n t

f

f

r

w a r d i n g p r

b

a b i l i t y 2 . C

m

p e n s a t i

n

w i t h m= 3

n

l y f

r

s p a r s e a r e a s ( # n e i g h b

r

s < 7 ) T r a d i t i

n

a l G

s

s i p 3 : A d a p t i v e G

s

s i p 3 :

SLIDE 17

O p t i m a l S t a t i c G

s

s i p 3 :

p

t i m a l p a n d m

R e s u l t s

( ! ) D e f a u l t c

n

f i g u r a t i

n
f

G

s

s i p 3 i s n

t
p

t i m a l f

r

a n y n e t w

r

k ( ! ) O u r s e l f

c
n

f i g u r e d G

s

s i p 3 r e a c h e s s i m i l a r p e r f

r

m a n c e a s t h e

p

t i m a l s t a t i c G

s

s i p 3 c

n

f i g u r a t i

n

D e f a u l t G

s

s i p 3 :

p=

. 6 5 ,

m=

1 Better Better

C

v

e r a g e F

r

w a r d e r s

S e l f

c
n

f i g u r e d G

s

s i p 3 : d y n a m i c p a n d m b a s e d

n

n e i g h b

r

h

d

s i z e

SLIDE 18

C

n

c l u s i

n

s

T h e

p

t i m a l G

s

s i p 3 p a r a m e t e r s a r e h i g h l y r e l a t e d t

t

h e n e t w

r

k d e n s i t y W e i d e n t i f i e d t h e p a r a m e t e r s f

r

w h i c h G

s

s i p 3 , c a n g i v e m a x i m u m c

v

e r a g e a t t h e l

w

e s t n u m b e r

f

f

r

w a r d e r s f

r

s e v e r a l n e t w

r

k c

n

f i g u r a t i

n

s O u r a l g

r

i t h m a l l e v i a t e s s h

r

t c

m

i n g s

f

G

s

s i p 3 :

M

a x c

v

e r a g e , w h i l e

K

e e p i n g f

r

w a r d e r s t

a

m i n i m u m

S

e l f a d a p t s t

t

h e n e t w

r

k d e n s i t y

SLIDE 19

thank you!

This work was partially supported by the Foundation for Polish Science under grant HOMING PLUS/2010-2/4, co-financed from the Regional Development Fund of the European Union within the Innovative Economy Operational Program, and a START scholarship