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IJ
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p
l
i
c
a
t
i
o
n
s
i
s
t
h
e
c
ha
l
l
e
ngi
ng
t
a
s
k.
T
hi
s
t
e
c
hni
que
d
oe
s
not
c
ons
i
de
r
t
he
r
e
l
a
t
i
on
b
e
t
w
ee
n
t
he
t
upl
e
s
a
nd e
nd
u
p wi
t
h t
he
cl
u
s
t
er
o
f
t
h
e
u
n
co
r
r
el
at
e
d
d
at
a
t
u
p
l
es
o
n
t
h
e
s
am
e
p
ar
t
i
t
i
o
n
.
I
t
r
e
s
u
l
t
s
i
n
t
h
e
i
n
c
r
e
a
s
e
d
c
o
s
t
s
o
f
t
r
a
n
s
a
c
t
i
o
n
s
.
G
ra
p
h
s
t
ru
c
t
u
r
e
i
s
a
w
ay
t
o
ex
p
r
es
s
r
el
at
i
o
n
s
h
i
p
b
et
w
ee
n
d
i
f
f
er
e
n
t
o
b
j
ect
s
i
n
t
h
e
f
o
r
m
o
f
v
er
t
i
ces
an
d
ed
g
e
s
.
S
ev
e
r
al
u
s
er
s
ar
e co
n
n
ect
ed
t
o
each
o
t
h
er
w
i
t
h
t
h
e h
el
p
o
f
s
o
ci
al
n
et
w
o
r
k
.
S
o
ci
al
n
et
w
o
r
k
co
n
t
ai
n
s
i
n
f
o
r
m
a
t
i
o
n
o
f
d
i
f
f
e
r
e
n
t
e
n
t
i
t
i
e
s
.
I
t
c
o
n
t
a
i
n
s
i
n
f
o
r
m
a
t
i
o
n
a
b
o
u
t
p
e
r
s
o
n
a
l
d
e
t
a
i
l
s
,
f
r
i
e
n
d
s
i
n
f
o
r
m
a
t
i
o
n
o
f
t
h
e
e
n
t
i
t
i
e
s
.
T
h
e
r
e
e
x
i
s
t
s
a
t
l
e
a
s
t
o
n
e
r
e
l
a
t
i
o
n
s
h
i
p
b
e
t
w
e
e
n
t
h
e
e
n
t
i
t
i
e
s
.
T
h
e
s
e
e
n
t
i
t
i
e
s
a
r
e
d
i
s
t
r
i
b
u
t
e
d
a
m
o
n
g
di
f
f
e
r
e
nt
s
e
r
ve
r
s
du
e
t
o whi
c
h t
he
num
be
r
s
of
t
he
t
r
a
ns
a
c
t
i
ons
a
r
e
i
n
c
r
e
a
s
e
d
.
W
he
n
num
be
r
s
of
e
nt
i
t
i
e
s
i
nv
ol
ve
d i
n
t
he
g
r
a
p
h
a
r
e
i
nc
r
e
a
s
e
d,
t
he
n
gr
a
ph
s
i
z
e
i
s
i
nc
r
e
a
s
e
d.
I
n gr
a
p
h
r
e
pr
e
s
e
nt
a
t
i
on
,
ed
g
e can
c
o
n
n
e
ct
o
n
l
y
o
n
e n
o
d
e at
a t
i
m
e
.
On
e
s
ta
r
t no
d
e
a
nd
one
de
s
t
i
na
t
i
o
n n
o
de
i
s
s
pe
c
i
f
i
e
d
whi
c
h m
us
t
b
e
on
t
he
s
a
m
e
gr
a
p
h.
I
n
o
r
d
er
t
o
r
ed
u
ce
t
h
e
g
r
a
p
h
s
i
ze
,
Hy
p
e
r
G
r
a
p
h R
e
pr
e
s
e
nt
a
t
i
on t
e
c
h
ni
q
ue
i
s
us
e
d i
n t
hi
s
pa
pe
r
.
I
n
Hy
pe
r
Gr
a
p
h R
e
pr
e
s
e
nt
a
t
i
on
t
e
c
hni
q
ue
,
e
d
ge
s
c
a
n
c
on
ne
c
t
t
o
m
or
e
t
ha
n
t
w
o
no
d
e
s
a
t
a
t
i
m
e
.
One
s
t
a
r
t
n
ode
i
s
s
pe
c
i
f
i
e
d a
n
d
e
xi
s
t
i
n
g r
e
l
a
t
i
ons
hi
ps
be
t
we
e
n t
he
a
t
t
r
i
b
u
t
e
s
a
r
e
f
o
u
n
d
o
u
t
.
S
t
a
r
t
n
o
de
a
n
d
de
s
t
i
na
t
i
on
n
o
de
ne
e
d
not
be
o
n
s
a
m
e
gr
a
ph
.
T
he
di
f
f
e
r
e
nc
e
be
t
w
e
e
n G
r
a
ph
r
e
p
r
e
s
e
nt
a
t
i
on a
n
d
Hy
pe
r
G
r
a
p
h R
e
pr
e
s
e
nt
a
t
i
on t
e
c
hni
que
i
s
s
u
m
m
ar
i
zed
as
T
ab
l
e
1
.
T
ab
l
e
1
.
T
h
e
d
i
ffe
re
n
c
e
b
e
t
w
e
e
n
G
ra
p
h
R
ep
r
es
en
t
at
i
o
n
a
n
d
Hy
pe
r
G
r
a
ph
R
e
pr
e
s
e
nt
a
t
i
on
T
e
c
hn
iqu
e
Gr
ap
h
R
ep
r
es
en
tat
io
n
Hy
p
er
Gr
ap
h
R
ep
r
es
en
tatio
n
1.
E
d
g
e can
co
n
n
ect t
o
o
n
ly
o
n
e n
o
d
e at a ti
m
e
.
On
e
s
tar
t
node
a
nd one
de
s
t
i
na
t
i
on node
i
s
s
pe
c
i
f
i
e
d.
1
.
E
d
g
e can
co
n
n
ect to
m
o
r
e th
an
tw
o
n
o
d
es
.
On
e s
tar
t
n
o
d
e
is
s
p
ecif
ied
an
d
r
elatio
n
s
h
ip
s
b
etween
th
e ite
m
s
ar
e
f
o
u
n
d
out
.
2.
Star
t an
d
d
es
tin
ati
o
n
n
o
d
e
m
u
s
t b
e o
n
s
a
m
e g
r
ap
h
2.
S
t
a
r
t
a
nd de
s
t
i
na
t
i
on node
s
ne
e
d n
o
t
t
o be
on s
a
m
e
gr
a
ph.
I
t
be
l
ongs
t
o ot
he
r
gr
a
ph a
l
s
o.
3.
Gr
ap
h
s
ize is
in
c
r
e
as
ed
3
.
Gr
ap
h
s
ize
is
r
e
d
u
ced
4.
Nu
m
b
e
r
o
f
th
e tr
an
s
actio
n
s
is
m
o
r
e.
4
.
Nu
m
b
er
o
f
th
e tr
an
s
actio
n
s
is
les
s
.
I
n
or
de
r
t
o r
e
d
uc
e
t
he
n
um
be
r
o
f
di
s
t
r
i
b
ut
e
d
t
r
a
ns
a
c
t
i
o
ns
,
H
y
pe
r
G
r
a
p
h
R
e
pr
e
s
e
nt
a
t
i
on
t
e
c
hni
q
ue
i
s
us
e
d
i
n
t
hi
s
pa
pe
r
.
E
xi
s
t
i
ng
pa
r
t
i
t
i
oni
ng
t
e
c
h
ni
q
u
e
s
d
oe
s
n
ot
c
o
ns
i
de
r
t
he
r
e
l
a
t
i
on a
m
on
g t
he
a
t
t
r
i
but
e
s
.
L
oa
d
ba
l
a
n
c
ing
i
s
not
d
one
pr
ope
r
l
y
i
n t
he
s
e
t
e
c
hni
q
ue
s
.
S
om
e
a
m
ount
of
t
he
da
t
a
ge
t
s
l
os
t
due
t
o l
o
a
d i
m
ba
l
a
nc
e
on t
he
s
e
r
ve
r
.
S
o W
o
r
kl
oa
d
A
wa
r
e
P
a
r
t
i
t
i
oni
n
g T
e
c
hni
que
s
a
r
e
us
e
d.
W
o
r
kl
oa
d A
w
a
r
e
pa
r
t
i
t
i
oni
n
g
t
e
c
h
ni
q
ue
i
s
u
s
e
d
w
h
er
e
r
e
l
at
ed
d
at
a i
t
em
s
ar
e k
ep
t
o
n
o
n
e
p
a
r
t
i
t
i
on.
M
o
s
t
of
t
h
e
pa
r
t
i
t
i
oni
ng
t
e
c
hni
q
ue
w
o
r
ks
o
n
r
e
l
a
t
i
o
n
a
l
d
a
t
a
b
a
s
e
s
.
Bu
t
i
t
h
a
n
d
l
e
s
o
n
l
y
s
t
a
t
i
c
d
a
t
a
.
S
u
c
h
t
e
c
h
n
i
q
u
e
s
h
a
n
d
l
e
l
i
m
i
t
e
d
a
m
o
u
n
t
o
f
d
a
t
a
.
I
t
d
o
e
s
not
de
a
l
w
i
t
h
No
S
QL
da
t
a
ba
s
e
s
.
N
o
S
Q
L
da
t
a
ba
s
e
s
a
r
e
us
e
d
t
o
ha
n
dl
e
t
he
h
uge
a
m
ount
of
t
he
d
at
a.
I
nc
r
e
m
e
nt
a
l
R
e
pa
r
t
i
t
i
oni
ng t
e
c
hni
que
i
s
t
h
e
us
e
f
ul
t
e
c
hni
que
t
o i
m
pr
o
v
e
t
he
r
e
s
p
on
s
e
t
im
e
of
t
he
s
er
v
e
r
.
I
n
i
n
c
r
e
m
en
t
al
R
ep
ar
t
i
t
i
o
n
i
n
g
t
ech
n
i
q
u
e,
m
o
s
t
f
r
eq
u
en
t
l
y
acces
s
ed
i
t
e
m
s
ar
e g
at
h
er
ed
t
o
g
et
h
e
r
o
n
o
n
e
s
e
r
ve
r
.
S
o,
L
oa
d
on
t
he
s
e
r
ve
r
i
s
e
q
ua
l
l
y
ba
l
a
n
ced
.
T
he
c
o
nt
r
i
b
ut
i
ons
o
f
o
ur
w
or
k
i
s
a
s
F
ol
l
ow
s
,
1.
D
e
s
i
g
n
of
t
he
W
o
r
kl
oa
d A
w
a
r
e
I
nc
r
e
m
e
nt
a
l
R
e
pa
r
t
i
t
i
oni
n
g T
e
c
hni
que
i
n C
o
uc
hd
b
is
in
tr
odu
c
e
d.
T
he
w
o
r
kl
oa
d i
s
m
oni
t
o
r
e
d
by
i
t
a
nd
f
r
e
q
ue
nt
l
y
a
c
c
e
s
s
e
d
da
t
a
i
t
e
m
s
a
r
e
ke
p
t
on
o
ne
pa
r
t
i
t
i
on i
n
or
de
r
t
o
m
i
n
i
m
i
z
e
t
h
e
n
u
m
b
e
r
o
f
t
h
e
t
r
a
n
s
a
c
t
i
o
n
s
.
2.
I
m
pl
e
m
e
nt
a
ti
on
of
t
he
W
o
r
kl
oa
d
A
w
a
r
e
I
nc
r
e
m
e
nt
a
l
R
e
pa
r
t
i
t
i
oni
ng
T
e
c
h
n
i
que
i
n
C
ouc
h
d
b.
3.
P
e
rf
o
rm
a
nc
e
o
f
t
hi
s
t
e
c
hni
q
u
e
i
s
e
va
l
ua
t
e
d
by
us
i
n
g
di
f
f
e
r
e
nt
q
ua
l
i
t
y
M
e
t
r
i
c
s
w
hi
c
h
a
r
e
a
s
F
ol
l
ow
s
a.
Re
s
p
o
n
s
e
t
i
m
e
b.
T
hr
o
ug
h
put
c.
I
m
p
a
c
t
o
f
t
h
e
d
i
s
t
r
i
b
u
t
e
d
t
r
a
n
s
a
c
t
i
o
n
s
d.
L
oa
d
i
m
ba
l
a
nc
e
de
r
i
va
t
i
o
n
e.
I
nt
e
r
S
e
r
ve
r
da
t
a
m
i
gr
a
t
i
on.
F
ur
t
he
r
t
hi
s
pa
pe
r
i
s
s
t
r
uc
t
u
r
e
d
a
s
f
ol
l
ow
s
:
I
n
S
e
c
t
i
on 2,
pa
pe
r
s
r
e
l
a
t
e
d t
o
s
c
a
l
a
bi
l
i
t
y
a
nd da
t
a
ba
s
e
p
a
r
t
i
t
i
oni
n
g
i
s
d
i
s
c
us
s
e
d.
S
e
c
t
i
on 3 gi
ve
s
br
i
e
f
o
ve
r
vi
e
w
o
f
pr
op
os
e
d
s
y
s
t
e
m
.
D
e
s
i
g
n
o
f
W
o
r
k
l
o
a
d
A
w
a
r
e
I
n
c
r
e
m
e
n
t
a
l
Re
p
a
r
t
i
t
i
o
n
i
n
g
S
y
s
t
e
m
i
s
pr
e
s
e
nt
e
d i
n S
e
c
t
i
on 3.
A
n
I
m
pl
e
m
e
nt
a
t
i
on de
t
a
i
l
s
i
n S
e
c
ti
on 4 e
xpl
a
i
ns
im
pl
e
m
e
nt
a
t
i
o
n a
n
d a
l
go
r
i
t
h
m
s
t
ha
t
a
r
e
us
e
d
f
o
r
i
m
pl
e
m
e
nt
i
ng t
hi
s
W
o
r
kl
oa
d
A
wa
r
e
I
nc
r
e
m
e
nt
a
l
R
e
pa
r
t
i
t
ioni
ng
t
e
c
h
n
ique
.
S
ect
i
o
n
5
d
es
cr
i
b
es
t
he
r
e
s
ul
t
s
a
nd
pr
o
vi
de
c
o
nc
l
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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SN
:
2
252
-
88
14
IJ
A
A
S
V
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.
7
,
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.
1
,
M
ar
c
h
20
18
:
5
4
–
65
56
2.
R
ELA
TED
W
O
R
K
Cu
r
i
n
o
e
t
a
l
[
2
]
De
s
c
ri
b
e
t
h
e
w
or
kl
oa
d a
w
a
r
e
a
pp
r
oa
c
h
f
or
a
c
hi
e
vi
n
g s
c
a
l
a
bi
l
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t
y
wi
t
h t
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l
p
o
f
gr
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p
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pa
r
t
i
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on
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ng.
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he
m
a
i
n
goa
l
o
f
t
hi
s
pa
pe
r
i
s
t
o
r
e
d
uc
e
t
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n
um
be
r
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f
t
he
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s
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r
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r
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c
t
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o p
r
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n
t
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r
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r
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d w
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r
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p
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t
a
t
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h
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p
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t
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nt
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t
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ge
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he
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d
ge
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t
ha
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c
on
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c
t
t
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t
w
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ode
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us
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d
w
i
t
hi
n t
he
s
a
m
e
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c
t
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r
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r
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c
h
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r
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g
A
l
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m
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us
e
d t
o f
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nd t
h
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ba
l
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d
pa
r
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i
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r
de
r
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duc
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t
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num
be
r
of
di
s
t
r
i
b
ut
e
d t
r
a
ns
a
c
t
i
ons
.
M
E
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S
t
ool
i
s
us
e
d
t
o
pa
r
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i
t
i
on
t
he
g
r
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ph
.
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h
e
g
r
ap
h
g
en
er
at
ed
by
t
he
S
c
hi
s
m
i
s
l
a
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ge
.
Num
be
r
s
o
f
t
u
pl
e
s
i
nv
ol
ve
d
i
n
t
he
t
r
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c
t
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o
ns
a
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l
a
r
ge
t
he
n
gr
a
p
h s
i
z
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i
s
i
nc
r
e
a
s
e
d.
T
he
num
be
r
of
t
he
t
r
a
ns
a
c
t
i
ons
i
s
i
n
c
r
e
a
s
e
d.
T
he
c
ha
n
g
i
ng
w
o
r
kl
oa
d
i
s
not
m
o
n
i
t
o
r
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d
b
y
t
h
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s
W
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r
k
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A
w
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l
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m
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h
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t
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P
a
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ni
n
g t
e
c
h
ni
q
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Onc
e
t
h
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pa
r
t
i
t
i
ons
a
r
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f
o
r
m
e
d,
t
ho
s
e
pa
r
t
i
t
i
ons
d
o
n
ot
c
ha
n
ge
.
Q
u
am
ar
[
3
]
a
dd
r
e
s
s
e
s
t
he
p
r
o
bl
e
m
of
t
he
S
c
a
l
a
bl
e
T
r
a
ns
a
c
t
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na
l
W
o
r
kl
oa
d
.
T
he
n
um
be
r
of
t
he
t
r
an
s
act
i
o
n
s
i
s
i
n
cr
eas
e
d
t
o
ac
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s
t
h
e
d
at
a
f
r
o
m
t
h
e
s
ev
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al
m
ach
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es
.
G
r
a
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s
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o i
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a
s
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d
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t
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num
be
r
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t
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m
s
.
T
he
n
um
be
r
s
o
f
t
he
pa
r
t
i
t
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ons
a
r
e
m
or
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.
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n
o
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d
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t
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d
u
c
e t
h
e g
r
ap
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s
i
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t
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ew
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ech
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q
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o
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cal
ab
l
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W
o
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ad
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w
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D
at
a P
ar
t
i
t
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o
n
i
n
g
an
d
I
nc
r
e
m
e
nt
a
l
R
e
pa
r
t
i
t
i
oni
ng
,
t
o
ha
n
dl
e
t
he
f
r
e
que
nt
c
ha
n
ge
s
i
n
t
he
w
or
kl
oa
d
i
s
de
ve
l
o
pe
d.
S
W
OR
D
w
o
r
ks
i
n
3
s
t
e
ps
.
I
n D
a
t
a
P
a
r
t
i
t
i
oni
n
g a
n
d P
l
a
c
e
m
e
nt
,
w
o
r
kl
oa
d i
s
r
e
pr
e
s
e
nt
e
d
wi
t
h
t
he
he
l
p o
f
t
h
e
c
om
pr
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s
s
e
d
H
y
pe
r
G
r
a
p
h.
Da
t
a
i
s
ho
r
i
z
o
nt
a
l
l
y
pa
r
t
i
t
i
one
d
.
T
hi
s
m
odul
e
i
s
r
e
s
p
ons
i
bl
e
f
or
t
a
ki
ng
t
he
de
c
i
s
i
o
n
of
pl
a
c
i
ng
t
he
da
t
a
ac
r
os
s
t
he
pa
r
t
i
t
i
ons
.
I
n
o
r
de
r
t
o r
e
duc
e
t
he
g
r
a
p
h s
i
z
e
,
t
h
e
e
nt
i
r
e
T
r
a
ns
a
c
t
i
ona
l
W
o
r
kl
oa
d
i
s
r
e
p
r
e
s
e
nt
e
d
wi
t
h
H
y
pe
r
Gr
a
ph
R
e
pr
e
s
e
nt
a
t
i
on
t
e
c
h
ni
q
ue
.
T
h
e
t
upl
e
s
o
f
t
he
t
r
a
ns
a
c
t
i
ons
a
r
e
r
e
p
r
e
s
e
nt
e
d
by
t
he
no
de
s
.
T
he
e
dge
s
a
r
e
c
a
l
l
e
d a
s
hy
pe
r
e
dge
s
w
hi
c
h
c
a
n c
o
n
n
ect
t
o
an
y
n
u
m
b
er
o
f
t
h
e
v
er
t
i
ces
at
a t
i
m
e.
I
n
G
r
a
p
h
R
e
pr
e
s
e
nt
a
t
i
on
t
e
c
hni
q
ue
,
o
ne
n
od
e
a
t
a
t
im
e
c
a
n c
o
nne
c
t
t
o
onl
y
one
no
de
.
W
i
t
h t
he
Hy
p
e
r
G
r
a
p
h
R
e
pr
e
s
e
nt
a
t
i
on
t
e
c
hni
q
ue
s
,
pa
r
t
i
t
i
ons
f
or
m
e
d
a
r
e
l
e
s
s
i
n
n
u
m
be
r
.
Hy
pe
r
G
r
a
p
h
C
om
pr
e
s
s
i
on
t
e
c
h
ni
q
ue
i
s
u
s
ed
t
o
m
a
na
ge
t
he
pr
o
bl
e
m
of
t
he
m
e
m
or
y
a
nd c
om
put
a
t
i
ona
l
r
e
q
ui
r
e
m
e
nt
s
of
t
he
H
y
pe
r
G
r
a
p
h s
t
or
a
ge
w
hi
c
h
a
f
f
e
c
t
s
t
he
pe
r
f
o
r
m
a
nc
e
of
t
h
e
pa
r
t
i
t
i
oni
ng
a
nd
r
e
pa
r
t
i
t
i
on
i
ng.
H
a
s
h pa
r
t
i
t
i
oni
n
g t
e
c
h
ni
q
ue
us
e
s
S
i
m
ple
a
n
d
e
a
s
y
m
e
t
hod o
r
wa
y
t
o c
om
put
e
t
he
ha
s
h
f
unc
t
i
o
n t
o c
o
m
pr
e
s
s
t
he
hy
pe
r
g
r
a
ph
.
I
nc
r
e
m
e
nt
a
l
r
e
pa
r
t
i
t
i
oni
n
g
t
e
c
hni
q
ue
i
s
us
e
d
t
o
m
oni
t
or
t
he
w
o
r
kl
oa
d
c
ha
n
ge
s
.
Re
p
l
i
c
a
t
i
o
n
t
e
c
h
n
i
q
u
e
i
s
u
s
e
d
f
o
r
p
l
a
c
i
n
g
t
h
e
d
a
t
a
a
c
r
o
s
s
m
u
l
t
i
p
l
e
m
a
c
h
i
n
e
s
.
Bu
t
Re
p
l
i
c
a
t
i
o
n
t
e
c
hni
q
ue
r
e
q
u
i
r
e
s
m
or
e
no
de
s
f
or
pl
a
c
i
ng
t
h
e
da
t
a
.
T
he
n
u
m
be
r
s
of
t
he
t
r
a
ns
a
c
t
i
o
ns
a
r
e
not
r
e
duc
e
d
by
us
i
ng
t
hi
s
t
e
c
h
nol
ogy
.
M
i
g
u
e
l
L
i
r
o
z
-
G
i
s
t
a
u
e
t
a
l
.
[
4
]
i
n
t
r
o
d
u
c
e
s
n
e
w
D
y
n
a
m
i
c
P
a
r
t
i
t
i
o
n
i
n
g
A
l
g
o
r
i
t
h
m
D
y
n
p
a
r
t
w
h
i
c
h
i
s
us
e
f
ul
f
or
dy
n
a
m
i
c
a
l
ly
gr
o
w
i
ng
da
t
a
ba
s
e
s
.
T
he
s
of
t
w
a
r
e
c
om
pa
ni
e
s
l
i
ke
F
a
c
e
bo
o
k,
G
o
o
gl
e
,
an
d
A
m
azo
n
ne
e
d
t
o
ha
n
dl
e
t
he
bi
l
l
i
on o
f
us
e
r
s
.
I
t
de
a
l
s
w
i
t
h
t
h
e
hu
ge
a
m
ount
o
f
t
h
e
da
t
a
.
T
he
a
p
pl
i
c
a
t
i
ons
whe
r
e
da
t
a
i
t
e
m
s
a
r
e
c
ont
i
nua
l
l
y
a
d
de
d t
o t
he
da
t
a
ba
s
e
a
r
e
s
uf
f
e
r
e
d
f
r
om
t
he
pr
obl
e
m
of
t
he
da
t
a
m
a
na
ge
m
e
nt
.
Dy
n
pa
r
t
i
s
t
h
e
d
y
n
a
m
i
c
p
a
r
t
i
t
i
o
n
i
n
g
a
l
g
or
i
t
hm
w
hi
c
h
h
a
ndl
e
s
t
he
dy
n
a
m
i
c
a
l
ly
gr
o
wi
ng
da
t
a
ba
s
e
s
.
I
t
t
a
ke
s
t
he
ne
w
da
t
a
i
t
e
m
s
whi
c
h a
r
e
c
ont
i
n
ua
l
l
y
a
dde
d t
o t
he
a
p
pl
i
c
a
t
i
ons
by
c
ons
i
de
r
i
ng a
n
a
f
f
i
ni
t
y
be
t
w
e
e
n t
he
da
t
a
i
t
e
m
s
a
nd
p
a
r
t
i
t
i
o
n
s
.
T
h
e
i
n
p
u
t
o
f
t
h
e
d
a
t
a
i
t
e
m
s
t
o
t
h
e
a
l
g
o
r
i
t
h
m
i
s
s
e
t
.
T
h
e o
ut
put
of
t
he
a
l
go
r
i
t
h
m
i
s
t
o f
i
nd t
h
e
be
s
t
b
al
an
ce
d
p
ar
t
i
t
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o
n
t
o
p
l
ace t
h
e d
at
a.
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t
s
el
ect
s
t
h
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p
a
r
t
i
t
i
o
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b
as
e
d
o
n
t
h
e
cl
o
s
e
r
el
at
i
o
n
b
e
t
w
een
t
h
e at
t
r
i
b
u
t
es
.
I
f
t
h
e
r
e
a
r
e
s
e
v
e
r
a
l
f
r
a
g
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t
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a
v
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t
a
f
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(
c
l
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l
a
t
i
o
n
)
t
h
e
n
t
h
e
s
m
a
l
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t
f
r
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g
m
e
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t
i
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el
ect
ed
i
n
o
r
d
er
t
o
k
ee
p
t
h
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p
ar
t
i
t
i
o
n
i
n
g
b
al
an
ced
.
S
hi
va
n
ja
l
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9]
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ph
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a
s
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W
or
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t
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t
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on t
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d f
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t
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c
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be
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r
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Evaluation Warning : The document was created with Spire.PDF for Python.
IJ
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14
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57
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r
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R
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f
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m
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A
l
g
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n t
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s
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pe
r
,
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e
c
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B
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t
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a
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s
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s
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y
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l
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s
a
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go
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t
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a
ut
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r
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n
dr
e
w P
a
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o [
1
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nt
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e
d
a
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w a
p
pr
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c
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o
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om
a
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l
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t
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t
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out
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t
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b
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n i
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i
de
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e
d t
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a
m
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t
o
f
t
h
e
d
at
a a
n
d
t
r
a
n
s
act
i
o
n
s
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s
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g
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d
t
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t
h
e s
i
n
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l
e
p
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t
i
t
i
o
n
.
H
o
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i
cu
l
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u
r
e an
al
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s
es
a
d
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ab
as
e s
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h
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a,
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h
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s
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r
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t
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r
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of
t
h
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a
p
pl
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t
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ons
s
t
or
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d
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oc
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,
a
n
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s
a
m
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m
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pa
r
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i
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t
r
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t
e
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e
s
t
ha
t
m
i
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im
i
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s
di
s
t
r
i
but
i
on
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r
he
a
d whi
l
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a
c
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s
s
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ke
w
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(
L
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s
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s
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t
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t
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i
l
l
pe
r
f
o
r
m
us
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ng
a
pa
r
t
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c
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a
r
de
s
i
g
n
f
or
t
he
s
a
m
pl
e
w
or
kl
oa
d t
r
a
c
e
wi
t
ho
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ne
e
di
ng
t
o
a
c
t
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a
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l
y
de
pl
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t
he
da
t
a
ba
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e
.
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e
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t
i
o
n i
n t
he
n
um
be
r
of
t
he
di
s
t
r
i
b
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e
d
t
r
a
ns
a
c
t
i
o
ns
i
n s
ha
r
e
d n
ot
hi
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di
s
t
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b
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d
da
t
a
ba
s
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s
d
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f
f
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t
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a
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s
a
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l
w
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o
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,
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t
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d
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a
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m
es
.
R
aj
k
u
m
ar
B
u
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1
2
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t
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W
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k
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d
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w
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R
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pa
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s
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p
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s
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s
Hy
pe
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h or
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r
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ph
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K
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y
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in c
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gr
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ph
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us
t
e
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o ba
l
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us
t
e
xc
l
us
i
ve
l
y
be
l
on
g
t
o
one
c
l
us
t
e
r
.
I
t
i
s
l
e
s
s
a
c
c
ur
a
t
e
.
3.
P
RO
P
O
S
E
D
S
Y
S
T
E
M
O
V
E
R
VI
E
W
T
he
i
n
p
ut
t
o t
he
W
o
r
kl
oa
d
Aw
a
r
e
I
nc
r
e
m
e
nt
a
l
R
e
pa
r
t
i
t
i
oni
ng
S
y
s
t
e
m
i
s
t
r
a
ns
a
c
t
i
o
n l
oa
d
s
(
n
um
be
r
of
t
he
t
r
a
ns
a
c
t
i
ons
)
a
nd
t
he
out
put
i
s
t
he
n
um
be
r
o
f
t
he
e
qua
l
l
y
ba
l
a
nc
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d
pa
r
t
i
t
i
on
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,
whi
c
h m
i
nim
iz
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s
t
he
num
be
r
of
t
he
di
s
t
r
i
b
ut
e
d
t
r
a
n
s
a
c
t
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ons
.
A
s
s
h
ow
n
i
n
F
i
g
ur
e
1
.
F
i
gu
r
e
1.
T
h
e
i
n
p
u
t
t
o
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h
e
W
o
r
k
l
o
a
d
A
w
a
r
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I
n
c
r
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m
e
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t
a
l
Re
p
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r
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y
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i
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l
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T
he
ba
s
i
c
pr
oc
e
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s
s
t
a
t
e
d
i
n
t
he
f
ol
l
o
w
i
n
g
s
t
e
ps
:
a.
T
r
a
n
s
a
c
t
i
on L
o
a
ds
:
T
he
s
y
s
t
e
m
t
a
ke
s
t
he
i
nput
a
s
n
um
be
r
of
t
he
t
r
a
ns
a
c
t
i
ons
.
I
n
t
h
i
s
s
e
c
t
i
o
n
,
th
e
d
e
s
i
gn
of
C
o
uc
h
d
b
h
a
s
be
e
n m
ode
l
l
e
d f
r
om
T
P
C
-
C
s
c
he
m
a
.
M
a
ppi
ng
o
f
t
he
s
e
ni
ne
t
a
bl
e
s
(
wa
r
e
h
ous
e
,
c
us
t
om
e
r
,
di
s
t
r
i
c
t
,
hi
s
t
or
y
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ne
w o
r
de
r
,
i
t
e
m
,
or
de
r
,
o
r
de
r
l
i
n
e
a
nd s
t
oc
k
)
i
n
t
o doc
um
e
nt
s
of
C
o
uc
h DB
i
s
p
er
f
o
r
m
ed
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
S
SN
:
2
252
-
88
14
IJ
A
A
S
V
o
l
.
7
,
N
o
.
1
,
M
ar
c
h
20
18
:
5
4
–
65
58
b.
T
r
a
n
s
a
c
t
i
o
n
Cl
a
s
s
i
f
i
c
a
t
i
o
n
:
T
r
a
n
s
a
c
t
i
o
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d
at
a
i
s
cl
as
s
i
f
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ed
o
n
t
h
e b
as
i
s
o
f
w
ar
eh
o
u
s
e i
d
.
.
W
ar
e
h
o
u
s
e i
d
s
a
r
e
f
ou
n
d
out
whi
l
e
e
x
e
c
ut
i
n
g t
he
s
e
t
r
a
ns
a
c
t
i
ons
.
R
e
l
a
t
i
o
n
s
hi
p
be
t
w
e
e
n t
he
i
t
e
m
s
i
s
c
ons
i
de
r
e
d
.
F
r
o
m
t
he
gi
ve
n t
r
a
ns
a
c
t
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ona
l
da
t
a
,
s
y
s
t
e
m
t
r
i
e
s
t
o f
i
n
d o
ut
di
s
t
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nc
t
wa
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h
o
us
e
i
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W
he
n n
e
w
or
de
r
i
s
p
l
a
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e
d
t
h
en
b
as
e
d
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e
i
d
,
t
r
an
s
act
i
o
n
d
at
a
i
s
cl
as
s
i
f
i
ed
.
c.
H
y
pe
r
Gr
a
p
h R
e
pr
e
s
e
nt
a
t
i
on
:
T
r
a
ns
a
c
t
i
o
n wo
r
kl
oa
d i
s
r
e
pr
e
s
e
nt
e
d
w
i
t
h t
he
he
l
p o
f
Hy
pe
r
G
r
a
p
h
R
ep
r
es
e
n
t
at
i
o
n
t
ech
n
i
q
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e.
A
s
co
m
p
ar
ed
t
o
t
h
e G
r
ap
h
R
ep
r
es
e
n
t
at
i
o
n
t
ech
n
i
q
u
e,
H
y
p
er
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r
ap
h
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e
pr
e
s
e
nt
a
t
i
on
t
e
c
hni
que
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s
m
os
t
us
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f
ul
t
e
c
hni
que
.
Hy
pe
r
G
r
a
ph
i
s
a
gr
a
ph
i
n
w
hi
c
h e
dge
c
a
n
c
o
n
ne
c
t
t
o a
ny
n
um
be
r
of
t
he
n
o
de
s
.
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r
e
e
dge
i
n
di
c
a
t
e
s
t
he
r
e
l
a
t
ions
hi
p.
I
t
t
a
ke
s
t
he
out
put
o
f
t
he
t
r
a
ns
a
c
t
i
o
n
c
l
a
s
s
i
f
i
c
a
t
i
o
n
i
.
e
.
U
ni
q
ue
W
a
r
e
ho
us
e
i
ds
a
n
d
Uni
que
C
us
t
o
m
e
r
i
ds
.
d.
F
u
zzy
C
-
m
e
a
n
s
Cl
u
s
t
e
r
i
n
g
A
l
g
o
r
i
t
h
m
:
I
t
i
s
a
p
r
o
c
e
s
s
o
f
g
r
o
u
pi
ng
w
hi
c
h a
l
l
ows
o
ne
pi
e
c
e
of
t
he
da
t
a
t
o
be
l
o
ng
t
o
t
w
o
or
m
or
e
c
l
us
t
e
r
s
.
T
he
F
uz
z
y
C
m
e
a
ns
c
l
us
t
e
r
i
ng
a
l
g
or
i
t
hm
i
s
a
p
pl
i
e
d
o
n
t
he
c
r
e
a
t
e
d
Hy
pe
r
G
ra
p
h
.
C
o
m
p
ar
i
s
o
n
b
et
w
een
K
-
w
a
y
p
a
r
t
i
t
i
o
n
i
n
g
a
l
g
o
r
i
t
h
m
a
n
d
F
u
z
z
y
C
-
m
e
a
n
s
c
l
u
s
t
e
r
i
n
g
a
l
g
o
r
i
t
h
m
i
s
s
ho
w
n
i
n
T
a
bl
e
2
.
T
ab
l
e
2
.
C
o
m
pa
r
is
on
b
e
tw
e
e
n
K
-
w
a
y
P
a
r
t
i
t
i
o
n
i
n
g
A
l
g
o
r
i
t
h
m
an
d
F
u
zzy
C
-
m
ean
s
Cl
u
s
t
e
r
i
n
g
A
l
g
o
r
i
t
h
m
K
-
wa
y
p
ar
ti
tio
n
in
g
alg
o
r
ith
m
Fu
zzy
C
-
m
e
an
s
cl
u
s
ter
in
g
alg
o
r
ith
m
1
.
In
k
-
way
,
d
at
a p
o
in
t
m
u
s
t
ex
clu
s
iv
ely
be
l
ong t
o one
c
l
us
t
e
r
1
.
I
n
Fu
zz
y
C
-
me
a
n
s
alg
o
r
ith
m
,
d
ata p
o
in
t is
as
s
ig
n
ed
m
e
m
b
er
s
h
ip
to
each
clu
s
ter
cen
tr
e
as
a
r
es
u
lt o
f
wh
ich
d
at
a p
o
in
t m
ay
b
elo
n
g
to
m
o
r
e th
an
o
n
e clu
s
ter
cen
tr
e
.
2
.
I
t is
l
es
s
accu
r
a
t
e.
2
.
I
t is
m
o
r
e
accu
r
ate.
e.
T
u
p
l
e
Cl
a
s
s
i
f
i
c
a
t
i
o
n
t
e
c
h
n
i
q
u
e
s
:
Cl
a
s
s
i
f
i
c
a
t
i
o
n
t
e
c
h
n
i
q
u
e
i
s
us
e
d f
o
r
m
a
ppi
n
g pa
r
t
i
t
i
ons
t
o
c
l
u
s
t
e
r
s
obt
a
i
ne
d
by
F
uz
z
y
C
-
m
ean
s
al
g
o
r
i
t
h
m
.
T
o
t
al
f
i
v
e cl
u
s
t
er
s
ar
e f
o
r
m
ed
f
o
r
eac
h
c
u
s
t
o
m
er
.
F
i
v
e l
ev
e
l
s
w
h
i
c
h
a
r
e
a
s
f
o
l
l
o
w
s
:
1)
V
e
ry
H
i
g
h
,
2)
H
i
g
h
,
3)
M
e
di
um
,
4)
L
ow
a
n
d
5)
V
e
ry
L
o
w
.
T
he
hi
gh l
e
ve
l
c
l
us
t
e
r
va
l
ue
s
onl
y
a
r
e
c
ons
i
de
r
e
d f
or
s
e
l
e
c
t
i
on.
I
t
i
s
c
on
s
i
de
r
e
d a
s
t
he
f
r
e
que
nt
l
y
acces
s
ed
i
t
em
s
.
O
t
h
er
t
w
o
cl
u
s
t
er
d
at
a
i
s
co
n
s
i
d
er
e
d
as
r
a
r
el
y
acces
s
ed
.
S
o
i
t
i
s
n
o
t
c
o
n
s
i
d
er
ed
.
4.
I
M
P
LEM
E
N
TA
TI
O
N
D
E
TA
I
LS
4
.
1
.
TP
C
-
C
b
en
ch
m
a
rk
TP
C
-
C
b
e
nc
h
m
a
r
k i
s
a
n
O
L
T
P
w
or
kl
o
a
d
.
T
he
be
nc
hm
a
r
k r
e
p
r
e
s
e
nt
s
a
w
h
ol
e
s
a
l
e
p
r
o
vi
de
r
w
i
t
h
t
he
g
e
o
g
r
a
p
h
i
c
a
l
l
y
d
i
s
t
r
i
b
u
t
e
d
w
a
r
e
h
o
u
s
e
s
a
n
d
d
i
s
t
r
i
c
t
s
.
I
t
m
e
a
s
u
r
e
s
t
h
e
p
e
r
f
o
r
m
a
n
c
e
o
f
t
h
e
O
n
l
i
n
e
T
r
a
n
s
a
c
t
i
o
n
P
r
oc
e
s
s
ing
S
ys
te
m
.
T
he
be
nc
hm
a
r
k
c
o
ns
i
s
t
s
o
f
t
he
f
i
ve
di
f
f
er
en
t
T
r
a
n
s
act
i
o
n
s
.
1)
E
nt
e
r
i
n
g
a
n
d
D
e
l
i
ve
r
i
n
g
or
de
r
s
,
2)
R
e
c
or
di
n
g
pa
y
m
e
nt
s
,
3)
C
he
c
ki
ng
t
he
s
t
a
t
us
o
f
or
de
r
s
,
a
n
d
4)
M
oni
t
o
r
i
n
g
t
he
l
e
ve
l
o
f
s
t
oc
k
a
t
t
he
wa
r
e
ho
u
s
e
s
.
4.
1.
1.
N
ew
o
rd
er
N
ew
o
r
d
er
t
r
a
n
s
act
i
o
n
i
s
t
h
e co
m
b
i
n
at
i
o
n
o
f
r
ead
an
d
w
r
i
t
es
t
r
an
s
act
i
o
n
s
.
I
t
cr
eat
es
a n
e
w
o
r
d
e
r
f
o
r
t
h
e
cu
s
t
o
m
er
an
d
p
l
aces
an
o
r
d
er
acco
r
d
i
n
g
t
o
t
h
e
cu
s
t
o
m
er
n
eed
.
4.
1.
2.
P
a
y
men
t
P
a
y
m
e
n
t
t
r
a
n
s
a
c
t
i
o
n
i
s
a
l
s
o
t
h
e
c
o
m
b
i
n
a
t
i
o
n
o
f
r
e
a
d
a
n
d
w
r
i
t
e
s
t
r
a
n
s
act
i
o
n
.
W
h
e
n
a p
ay
m
en
t
t
r
an
s
act
i
o
n
i
s
e
x
ecu
t
e
d
i
t
u
p
d
a
t
es
t
h
e
b
al
an
ce
o
f
cu
s
t
o
m
er
.
4.
1.
3.
O
rd
er
s
t
a
t
u
s
O
r
d
e
r
s
t
a
t
u
s
t
r
a
n
s
a
c
t
i
o
n
i
s
r
e
a
d
o
n
l
y
t
r
a
n
s
a
c
t
i
o
n
.
I
t
t
r
a
c
k
s
t
h
e
s
t
a
t
u
s
o
f
t
h
e
c
u
s
t
o
m
e
r
t
h
a
t
i
s
c
u
s
t
o
m
e
r’s
l
a
s
t
o
rd
e
r.
Evaluation Warning : The document was created with Spire.PDF for Python.
IJ
A
A
S
I
S
S
N
:
225
2
-
88
14
W
or
k
l
o
a
d
A
w
a
r
e
I
nc
r
e
m
e
nt
al
R
e
p
ar
t
i
t
i
oni
ng
of
N
oS
Q
L
f
or
O
nl
i
ne
T
r
a
ns
a
c
t
i
onal
…
(
A
nag
ha
B
hun
je
)
59
4.
1.
4.
D
e
l
i
v
e
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e
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4.
1.
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4.
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W
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d
A
w
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I
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r
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t
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R
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n
g
4.
2.
1.
P
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b
l
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m
D
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f
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n
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t
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n
L
et
S
=
{
}
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t
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f
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Re
p
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r
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f
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p
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t
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s
T
=
{
t
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t
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t
3
,
………
…
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n
} W
h
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{
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pr
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by
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g
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gm
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gi
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s
e
t
of
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r
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c
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n T
.
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s
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of
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s
t
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d a
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t
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ed
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s
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nd
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d’.
T =
T
d
∩
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d’=
ɸ
.
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r
an
s
act
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n
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a
r
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cl
as
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f
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d
b
a
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h
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o
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s
e
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ds
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he
di
s
t
r
i
b
ut
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d
o
r
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n
di
s
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r
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but
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r
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ons
t
ha
t
r
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pe
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t
m
ul
ti
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im
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t
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n
ne
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t
r
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on
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on
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d.
S
u
c
h
t
r
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ns
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c
t
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c
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l
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T
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pr
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s
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st
e
m
i
s
a
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F
o
l
l
o
w
s
1)
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n
t
h
i
s
s
t
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p
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t
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t
r
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m
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p
p
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c
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t
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n
c
a
n
be
ge
ne
r
a
t
e
d
a
t
t
he
S
e
r
ve
r
e
nd
.
2)
A
s
t
h
e t
r
a
n
s
act
i
o
n
s
ar
r
i
v
e at
t
h
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r
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t
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r
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act
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ap
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as
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um
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pe
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t
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pe
r
g
r
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r
s
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ni
n
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t
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c
hni
q
ue
.
3)
F
uz
z
y
C
m
e
a
ns
C
l
us
t
e
r
i
ng i
s
us
e
d t
o c
l
us
t
e
r
t
he
num
be
r
of
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s
e
r
s
ba
s
e
d
on t
he
wa
r
e
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ous
e
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d
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h
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c
c
om
pl
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d us
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t
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x e
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t
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r
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r
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l
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gh
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n
d
v
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hi
gh
.
4)
T
he
n t
he
s
y
s
t
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m
us
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s
t
he
de
c
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s
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on t
r
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l
a
s
s
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f
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s
e
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vi
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e
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i
t
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s
.
4.
3.
H
y
p
er
G
ra
p
h
R
e
p
res
e
n
t
a
t
i
o
n
:
T
he
t
r
a
ns
a
c
t
i
o
na
l
w
or
kl
oa
d
i
s
r
e
p
r
e
s
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nt
e
d
wi
t
h t
he
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l
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f
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pe
r
g
r
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p
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N
e
o4
j i
s
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gh
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pe
r
f
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r
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,
No
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gr
a
p
h da
t
a
ba
s
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s
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or
t
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ge
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n
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nt
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t
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on o
f
t
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gr
a
p
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t
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s
e
i
n t
hi
s
pa
pe
r
.
T
he
n
u
m
be
r
of
t
he
u
ni
q
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wa
r
e
h
o
u
s
e
s
a
nd
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um
be
r
s
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f
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us
t
om
e
r
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r
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nt
e
d a
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de
s
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gr
a
p
h,
whi
c
h a
r
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ne
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t
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d
b
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t
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e
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d
ge
s
r
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t
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l
a
t
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hi
p.
T
he
W
_
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D
i
s
c
on
s
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d a
s
t
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a
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Th
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t
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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SN
:
2
252
-
88
14
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St
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Evaluation Warning : The document was created with Spire.PDF for Python.
IJ
A
A
S
I
S
S
N
:
225
2
-
88
14
W
or
k
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ar
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61
4.
5.
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upl
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l
a
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Input
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F
uz
z
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c
l
us
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e
rs
F
c
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{F
c1
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C2
…
….
F
Cn
}
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r
an
s
a
ct
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o
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d
a
t
a D
={
d
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…
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n
}
O
ut
put
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Cl
a
s
s
i
fi
c
a
t
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on L
a
be
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s
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l
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hm
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dd i
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ub v
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l
L
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E
nd F
or
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urn
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r
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o
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t
r
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ns
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ons
.
F
i
g
ur
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s
(
3
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)
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h
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p
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t
im
e
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r
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DB
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M
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B i
s
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g
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r
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(
1
0
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13
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s
how
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th
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oug
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r
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s
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um
be
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f
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t
r
a
ns
a
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ons
a
nd a
l
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ng t
he
y
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ax
i
s
;
t
he
r
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i
s
T
hr
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gh
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ut
.
F
ig
ur
e
7
s
h
o
w
s
t
h
e i
m
p
act
of
t
he
DT
(
i
n pe
r
c
e
nt
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ge
)
.
A
l
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w
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t
h x
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t
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s
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g
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r
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8
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d i
m
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n M
ul
t
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.
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l
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w
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s
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h
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r
e i
s
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u
m
b
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f
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h
e t
r
an
s
act
i
o
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s
an
d
al
o
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g
t
h
e y
-
a
x
i
s
;
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h
e
r
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d
e
r
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v
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.
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c
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n.
F
i
gu
r
e
9
s
h
ows
t
he
i
nt
e
r
s
e
r
ve
r
da
t
a
m
i
gr
a
t
i
on.
T
hi
s
i
s
m
e
a
n va
l
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or
t
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e
pa
r
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i
t
i
ons
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o e
xe
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ut
e
t
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nu
m
be
r
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t
h
e
t
r
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s
act
i
o
n
s
.
F
i
g
u
r
es
(
1
0
-
1
3
)
s
h
ow
s
t
h
e
thr
o
ugh
pu
t r
e
qu
ir
e
d
f
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t
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t
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r
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s
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um
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r
s
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l
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g
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s
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t
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r
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hod i
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e
r
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s
the
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wi
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.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
S
SN
:
2
252
-
88
14
IJ
A
A
S
V
o
l
.
7
,
N
o
.
1
,
M
ar
c
h
20
18
:
5
4
–
65
62
F
ig
ur
e
3
Re
s
p
o
n
s
e
t
i
m
e
f
o
r
S
i
n
g
l
e
D
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t
r
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n
s
a
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a
n
d
M
u
l
t
i
D
B
t
r
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n
s
a
c
t
i
o
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s
(
i
n
M
i
l
l
i
S
e
c
o
n
d
s
)
(
W
a
r
e
hou
s
e
=
5)
F
i
gu
r
e
4.
Re
s
p
o
n
s
e
t
i
m
e
f
o
r
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n
g
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l
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o
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d
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W
a
r
e
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e
=
10
)
F
i
gu
r
e
5.
Re
s
p
o
n
s
e
t
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m
e
f
o
r
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g
l
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r
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d
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t
r
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a
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t
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M
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l
l
i
S
e
c
o
n
d
s
)
(
W
a
r
e
hou
s
e
=
15
)
Evaluation Warning : The document was created with Spire.PDF for Python.
IJ
A
A
S
I
S
S
N
:
225
2
-
88
14
W
or
k
l
o
a
d
A
w
a
r
e
I
nc
r
e
m
e
nt
al
R
e
p
ar
t
i
t
i
oni
ng
of
N
oS
Q
L
f
or
O
nl
i
ne
T
r
a
ns
a
c
t
i
onal
…
(
A
nag
ha
B
hun
je
)
63
F
i
gu
r
e
6.
Re
s
p
o
n
s
e
t
i
m
e
f
o
r
S
i
n
g
l
e
D
B
t
r
a
n
s
a
c
t
i
o
n
s
a
n
d
M
u
l
t
i
D
B
t
r
a
n
s
a
c
t
i
o
n
s
(
i
n
M
i
l
l
i
S
e
c
o
n
d
s
)
(
W
a
r
e
hou
s
e
=
20
)
F
i
gu
r
e
7.
I
m
pa
c
t
of
t
he
D
T
(
i
n
pe
r
c
e
nt
a
ge
)
f
or
S
i
n
gl
e
DB
a
nd
M
ul
t
i
D
B
F
ig
ur
e
8
.
L
o
a
d
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m
b
a
l
a
n
c
e
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e
r
i
v
a
t
i
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i
n
M
u
l
t
i
D
B
F
ig
ur
e
9
.
I
n
t
er
s
er
v
e
r
d
at
a
m
i
g
r
at
i
o
n
Evaluation Warning : The document was created with Spire.PDF for Python.