
474 Simulation Technologies in Networking and Communications
The domain of the derived hash key of an l-dimensional event, denoted by H
D
, can be dened by
αα α
min max
min, max=×
()
⎛
⎜
⎜
=
=
=
=
i
M
ij j
j
l
i
M
ij j
j
l
vw vw
1
1
1
1
⎞⎞
⎟
⎟
(17.5)
Pivot points can be generated dividing H
D
into different segments as follows:
P
i
=
−
⎡
⎢
⎤
⎥
α
αα
α
min
max min
max
:
: (17.6)
Hence, after each epoch, SH
k
forwards the aggregated event
=
⎡
⎤
⎡
⎤
ψψ ψ
12
, where
t denotes epoch number, to the destination SH denoted by SH
i
where P
i
≤ h ≤ P
i + 1
and P
i
, P
i+1
are the
lower and upper limits of the ith subinterval, respectively.
17.3.3 seCTor-BaseD DisTanCe
In order to ca ...