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d
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ar
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v
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eq
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s
[
1
]
.
A
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a
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k
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itates a
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eq
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e
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t sc
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[
2
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.
I
n
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[
3
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.
Am
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eq
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[
5
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Fig
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d
u
ce
s
th
e
d
esig
n
ed
r
eq
u
est
s
ch
ed
u
l
in
g
p
r
in
cip
le
in
d
etail.
Sect
io
n
5
p
r
esen
ts
t
h
e
e
x
p
er
i
m
e
n
tal
r
e
s
u
lt
s
a
n
d
th
e
p
er
f
o
r
m
a
n
ce
e
v
alu
atio
n
co
m
p
ar
in
g
w
it
h
f
e
w
ex
i
s
ti
n
g
s
c
h
ed
u
l
in
g
p
r
in
cip
les.
Sect
io
n
6
p
r
esen
ts
th
e
co
n
c
lu
s
io
n
a
n
d
t
h
e
f
u
tu
r
e
ex
ten
d
ab
le
w
o
r
k
o
f
th
is
r
esear
c
h
p
ap
er
.
2.
RE
L
AT
E
D
WO
RK
S
T
h
e
f
o
llo
w
in
g
li
ter
atu
r
e
s
u
r
v
e
y
p
r
esen
ts
t
h
e
co
n
tr
ib
u
tio
n
s
t
h
at
ar
e
i
n
f
lu
e
n
tia
l
i
n
t
h
is
r
ese
ar
ch
w
o
r
k
b
ased
o
n
d
esig
n
,
p
r
in
cip
le
s
,
p
ar
a
m
eter
s
an
d
m
etr
ics
:
I
n
r
o
u
n
d
-
r
o
b
in
p
r
in
cip
le,
th
e
s
ch
ed
u
ler
ass
ig
n
s
t
h
e
r
eq
u
ests
t
o
a
lis
t
o
f
th
e
s
er
v
er
s
o
n
a
cir
cu
lar
b
asis
.
T
h
e
f
ir
s
t
r
eq
u
est
i
s
allo
ca
ted
to
a
s
er
v
er
p
ick
ed
r
an
d
o
m
l
y
f
r
o
m
th
e
g
r
o
u
p
s
o
th
at
i
f
m
o
r
e
th
an
o
n
e
s
c
h
ed
u
ler
ar
r
iv
e
s
s
i
m
u
lta
n
eo
u
s
l
y
,
n
o
t
al
l
o
f
t
h
ese
r
eq
u
e
s
ts
g
o
to
t
h
e
s
a
m
e
s
er
v
er
.
T
h
r
o
ttled
lo
ad
b
ala
n
cin
g
a
lg
o
r
it
h
m
is
i
m
p
le
m
en
ted
w
i
th
a
T
h
r
o
ttled
L
o
ad
B
alan
ce
r
to
m
o
n
ito
r
th
e
lo
ad
s
o
n
ea
ch
Vir
tu
a
l
Ma
ch
i
n
e
(
VM
)
.
I
t
en
s
u
r
e
s
o
n
l
y
a
p
r
e
-
d
e
f
i
n
ed
n
u
m
b
er
o
f
I
n
ter
n
et
C
lo
u
d
lets
ar
e
al
lo
ca
ted
to
a
s
in
g
le
VM
at
a
n
y
g
iv
e
n
t
i
m
e.
A
c
tiv
e
Mo
n
ito
r
in
g
p
r
in
cip
le
m
an
a
g
e
s
th
e
lo
ad
a
m
o
n
g
a
v
ailab
le
VM
'
s
in
a
w
a
y
to
ev
e
n
o
u
t t
h
e
n
u
m
b
er
o
f
ac
ti
v
e
tas
k
s
o
n
ea
ch
VM
at
an
y
g
iv
e
n
ti
m
e.
I
n
s
u
c
h
ca
s
es,
t
h
e
s
c
h
ed
u
le
r
w
ill
a
s
s
i
g
n
t
w
o
r
eq
u
e
s
ts
to
t
h
e
p
o
w
er
f
u
l
s
er
v
er
f
o
r
ea
ch
r
eq
u
est
a
s
s
i
g
n
ed
to
th
e
lo
w
er
o
n
e
[
6
]
.
T
h
e
an
t
co
lo
n
y
o
p
ti
m
izatio
n
ap
p
r
o
ac
h
is
ai
m
ed
to
p
r
o
v
id
e
ef
f
icien
t
d
is
tr
ib
u
tio
n
o
f
w
o
r
k
lo
ad
am
o
n
g
t
h
e
n
o
d
es.
W
h
e
n
a
r
eq
u
est
is
i
n
itial
ized
,
th
e
an
t
s
tar
ts
m
o
v
i
n
g
to
w
ar
d
s
t
h
e
s
o
u
r
ce
o
f
f
o
o
d
f
r
o
m
t
h
e
h
ea
d
n
o
d
e.
T
h
e
u
n
p
r
o
ce
s
s
ed
r
eq
u
est
k
ee
p
s
a
r
ec
o
r
d
o
f
e
v
er
y
n
o
d
e,
it
v
is
i
ted
an
d
r
ec
o
r
d
s
th
eir
d
ata
f
o
r
f
u
t
u
r
e
d
ec
is
io
n
m
a
k
i
n
g
[
7
]
.
I
n
th
e
tas
k
s
c
h
ed
u
li
n
g
p
r
in
c
ip
le,
t
w
o
-
le
v
el
ta
s
k
s
c
h
ed
u
li
n
g
m
ec
h
an
i
s
m
is
ca
r
r
ied
o
u
t
to
m
ee
t
d
y
n
a
m
ic
r
eq
u
ir
e
m
e
n
ts
o
f
u
s
er
s
as
w
el
l
as
to
o
b
tai
n
h
i
g
h
r
e
s
o
u
r
ce
u
t
ilizatio
n
.
I
t
ac
h
ie
v
es
lo
ad
b
alan
cin
g
b
y
f
ir
s
t
m
ap
p
in
g
tas
k
s
to
v
ir
t
u
al
m
ac
h
in
e
s
an
d
t
h
e
n
th
e
v
ir
t
u
al
m
ac
h
in
e
s
to
h
o
s
t
r
eso
u
r
ce
s
,
t
h
er
eb
y
i
m
p
r
o
v
i
n
g
t
h
e
task
r
esp
o
n
s
e
ti
m
e,
r
eso
u
r
ce
u
tili
za
t
io
n
a
n
d
o
v
er
all
p
er
f
o
r
m
an
ce
o
f
t
h
e
clo
u
d
co
m
p
u
ti
n
g
e
n
v
ir
o
n
m
en
t
[
8
]
.
User
-
p
r
io
r
itized
g
u
id
ed
Min
-
Min
s
c
h
ed
u
lin
g
al
g
o
r
ith
m
ac
co
m
m
o
d
ates
t
h
e
d
e
m
an
d
s
o
f
d
if
f
er
e
n
t
u
s
er
s
b
y
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
8
,
No
.
2
,
A
p
r
il
201
8
:
1
2
3
8
–
1246
1240
d
eliv
er
in
g
t
h
e
s
er
v
ices
at
d
if
f
e
r
en
t le
v
els o
f
q
u
ali
t
y
.
T
h
er
e
f
o
r
e,
th
e
u
s
er
g
e
ts
t
h
e
g
u
ar
a
n
tee
f
o
r
th
e
s
er
v
ice
th
a
t
h
e
s
o
u
g
h
t
f
o
r
[
9
]
.
I
n
clo
u
d
lig
h
t
w
eig
h
t
p
o
lic
y
,
w
h
ic
h
n
o
t
o
n
l
y
b
alan
ce
s
t
h
e
v
ir
t
u
al
m
a
ch
in
e
w
o
r
k
lo
ad
in
clo
u
d
co
m
p
u
ti
n
g
d
atac
e
n
ter
s
,
b
u
t
it
also
ass
u
r
es
Qo
S
f
o
r
u
s
er
s
.
I
t
r
ed
u
ce
s
b
o
th
th
e
n
u
m
b
er
o
f
VM
m
i
g
r
atio
n
p
r
o
ce
s
s
es a
n
d
th
e
m
i
g
r
atio
n
ti
m
e
d
u
r
i
n
g
ap
p
licatio
n
s
ex
ec
u
t
io
n
[
1
0
]
.
A
n
e
w
t
y
p
e
o
f
f
ed
er
ate
co
n
t
ain
er
,
v
ir
t
u
al
m
ac
h
i
n
e
(
VM
)
,
an
d
its
d
y
n
a
m
ic
m
ig
r
at
io
n
alg
o
r
ith
m
co
n
s
id
er
in
g
b
o
th
co
m
p
u
tatio
n
an
d
co
m
m
u
n
icat
io
n
co
s
t
is
d
esig
n
ed
.
E
x
p
er
i
m
en
t
s
s
h
o
w
th
at
th
e
m
i
g
r
atio
n
s
ch
e
m
e
e
f
f
ec
tiv
e
l
y
i
m
p
r
o
v
es
t
h
e
r
u
n
n
in
g
e
f
f
icien
c
y
o
f
th
e
s
y
s
te
m
w
h
e
n
t
h
e
d
is
tr
ib
u
ted
s
y
s
t
e
m
is
n
o
t sa
tu
r
ated
[
1
1
]
.
T
h
e
s
er
v
er
s
ar
e
p
o
lled
in
t
h
e
cl
u
s
ter
,
a
n
d
th
e
m
ild
l
o
ad
n
o
d
e
is
s
elec
ted
to
r
esp
o
n
s
e
u
s
er
s
'
r
eq
u
est
s
d
ir
ec
tl
y
w
h
en
a
u
s
er
-
co
n
n
ec
ti
o
n
r
eq
u
est
s
ar
r
iv
e.
I
f
t
h
er
e
ar
e
n
o
m
ild
lo
ad
n
o
d
es
i
n
t
h
e
cl
u
s
ter
,
th
e
w
eig
h
t
s
ar
e
ad
j
u
s
ted
ad
ap
tiv
el
y
ac
co
r
d
in
g
to
t
h
e
s
er
v
er
co
n
n
ec
tio
n
s
t
atu
s
,
a
n
d
t
h
e
n
o
d
es
ar
e
s
ele
cted
w
h
ic
h
h
as
t
h
e
m
i
n
i
m
u
m
r
at
io
o
f
w
e
ig
h
t
to
lo
ad
to
p
r
o
v
id
e
s
er
v
ice.
A
t
m
o
n
ito
r
i
n
g
s
ta
g
e,
it
ta
k
es
b
o
th
t
h
e
p
r
ev
io
u
s
an
d
cu
r
r
en
t s
y
s
te
m
co
n
d
it
io
n
i
n
to
ac
co
u
n
t to
av
o
id
u
n
n
ec
ess
ar
y
m
i
g
r
atio
n
s
[
1
2
]
.
Un
ce
r
tai
n
t
y
-
a
w
ar
e
ev
o
l
u
tio
n
a
r
y
s
c
h
ed
u
lin
g
m
e
th
o
d
ai
m
s
at
d
ea
lin
g
w
ith
u
n
ce
r
tai
n
ti
es
d
u
r
in
g
ex
ec
u
t
io
n
a
n
d
u
p
d
atin
g
t
h
e
s
c
h
ed
u
li
n
g
s
o
a
s
to
m
ee
t
t
h
e
d
e
ad
lin
e
a
n
d
o
p
ti
m
ize
th
e
ex
ec
u
tio
n
co
s
t
o
f
clo
u
d
ap
p
licatio
n
s
[
1
3
]
.
I
n
clo
u
d
co
m
p
u
ti
n
g
,
r
eso
u
r
ce
s
ar
e
co
n
s
u
m
ed
as
s
er
v
ices
h
en
ce
u
tili
za
t
io
n
o
f
th
e
r
eso
u
r
ce
s
in
a
n
e
f
f
ec
t
iv
e
w
a
y
is
ac
h
ie
v
e
d
b
y
d
ep
lo
y
i
n
g
s
er
v
ice
s
ch
ed
u
lin
g
an
d
lo
ad
b
alan
cin
g
p
r
in
c
i
p
les.
T
h
e
q
u
alit
y
o
f
s
er
v
ice
i
s
a
n
i
n
f
lu
e
n
ci
n
g
p
ar
a
m
eter
to
as
s
es
s
t
h
e
r
eliab
ili
t
y
o
f
th
e
clo
u
d
.
I
t
i
s
p
o
s
s
ib
le
to
i
m
p
r
o
v
e
t
h
e
ef
f
icien
c
y
o
f
t
h
e
q
u
al
it
y
o
f
s
er
v
ice
b
ased
o
n
th
e
s
er
v
ice
s
c
h
e
d
u
lin
g
al
g
o
r
ith
m
s
b
y
co
n
s
id
er
in
g
v
ar
io
u
s
f
ac
to
r
s
lik
e
ar
r
i
v
i
n
g
ti
m
e
o
f
t
h
e
r
eq
u
e
s
t,
t
h
e
ti
m
e
tak
e
n
b
y
t
h
e
r
eq
u
est
to
e
x
ec
u
te
o
n
t
h
e
r
eso
u
r
ce
an
d
t
h
e
co
s
t
o
f
u
s
e
n
et
w
o
r
k
co
m
m
u
n
icatio
n
[
1
4
]
.
T
h
e
o
b
j
ec
tiv
e
o
f
th
is
r
esear
c
h
w
o
r
k
i
s
b
ased
o
n
th
e
i
n
f
er
en
ce
s
f
r
o
m
t
h
e
liter
at
u
r
e
s
u
r
v
e
y
.
3.
RE
S
E
ARCH
P
RO
B
L
E
M
S
T
AT
E
M
E
NT
T
h
e
f
o
ca
l
p
o
in
t
o
f
th
i
s
r
ese
ar
ch
is
to
d
esi
g
n
a
s
ch
ed
u
l
in
g
p
r
in
cip
le
w
h
ic
h
is
s
u
i
ta
b
le
f
o
r
a
h
eter
o
g
e
n
eo
u
s
p
o
o
l
o
f
co
m
p
u
tin
g
r
eso
u
r
ce
s
th
at
s
er
v
e
a
s
et
o
f
s
er
v
ices.
T
h
e
r
esear
ch
p
r
o
b
lem
is
d
ef
in
ed
as
f
o
llo
w
s
:
T
h
er
e
is
a
s
et
o
f
s
er
v
ices
S
(
S
1
,
S
2
,
…,
S
m
).
E
ac
h
s
er
v
ice
S
m
i
s
a
s
s
i
g
n
ed
w
it
h
a
v
alu
e
v
b
ased
o
n
a
cr
iter
io
n
.
T
h
ese
s
er
v
ices
ar
e
s
er
v
ed
th
r
o
u
g
h
t
h
e
d
is
s
i
m
ilar
l
y
co
n
f
i
g
u
r
ed
s
er
v
er
s
N
(
N
1
,
N
2
,
…
,
N
n
)
.
E
ac
h
s
er
v
er
N
n
is
c
h
ar
ac
ter
ized
b
y
its
ca
p
ac
it
y
co
n
s
tr
ain
t
s
.
T
h
er
e
is
a
s
et
o
f
r
eq
u
es
ts
R
(
R
1
,
R
2
,
…R
k
)
at
ti
m
e
.
E
ac
h
r
eq
u
est
R
k
s
ee
k
s
a
p
ar
ticu
lar
s
e
r
v
ice
S
m.
T
h
e
s
ch
ed
u
li
n
g
p
r
in
c
ip
le
is
to
ass
ig
n
t
h
e
r
eq
u
ests
o
p
ti
m
all
y
ac
r
o
s
s
th
e
s
er
v
er
s
p
r
o
p
o
r
tio
n
ate
to
th
eir
s
er
v
in
g
ca
p
ac
it
y
s
atis
f
y
i
n
g
t
h
e
ca
p
ac
it
y
co
n
s
tr
ai
n
t
s
[
1
5
]
.
T
h
e
f
o
llo
w
in
g
ar
e
s
o
m
e
o
f
th
e
ass
u
m
p
tio
n
s
b
ased
o
n
w
h
ich
th
e
s
o
lu
tio
n
i
s
d
esi
g
n
ed
:
T
h
e
s
er
v
e
r
s
ar
e
d
is
s
i
m
ilar
l
y
co
n
f
ig
u
r
ed
.
E
ac
h
r
eq
u
est h
a
s
its
o
w
n
m
e
m
o
r
y
r
e
q
u
ir
e
m
e
n
t a
n
d
s
er
v
ice
ti
m
e.
Qu
eu
ed
r
eq
u
est
s
f
o
r
th
e
r
eso
u
r
ce
s
ca
n
n
o
t
b
e
b
a
lk
ed
at,
r
en
eg
ed
o
r
j
u
m
p
ed
.
A
s
ch
ed
u
le
ass
ig
n
ed
to
th
e
r
eso
u
r
ce
s
is
u
n
alter
ed
.
W
h
en
a
f
a
u
lt
o
cc
u
r
s
,
s
c
h
ed
u
le
ass
i
g
n
ed
to
it
is
r
e
-
as
s
i
g
n
ed
t
o
th
e
e
x
is
tin
g
p
o
o
l
o
f
r
eso
u
r
c
es
w
it
h
t
h
e
h
i
g
h
est
p
r
io
r
ity
.
I
n
cr
ea
s
e
o
r
d
ec
r
ea
s
e
in
th
e
r
eso
u
r
ce
s
i
s
co
n
ti
n
u
o
u
s
l
y
m
o
n
ito
r
ed
an
d
a
ch
an
g
e
o
cc
u
r
r
in
g
at
t
i
w
ill
af
f
ec
t th
e
s
ch
ed
u
le
at
t
i+
1
[
1
6
]
.
4.
DE
S
I
G
NE
D
M
E
T
H
O
DO
L
O
G
Y
T
h
is
r
esear
ch
in
tr
o
d
u
ce
s
a
n
o
v
el
m
et
h
o
d
,
n
a
m
el
y
Qu
a
n
tifi
ca
tio
n
p
r
in
cip
le
w
h
ic
h
is
in
co
r
p
o
r
ated
in
th
e
s
er
v
ice
r
eq
u
est
s
ch
ed
u
li
n
g
p
r
o
ce
s
s
.
Qu
a
n
ti
f
icatio
n
p
r
in
cip
le
in
v
o
l
v
es
a
m
eth
o
d
to
id
en
ti
f
y
a
s
er
v
er
’
s
p
r
o
ce
s
s
in
g
ab
ilit
y
b
ased
o
n
th
e
attr
ib
u
te
w
i
th
th
e
h
i
g
h
est
lev
el
o
f
i
n
f
lu
e
n
ce
o
n
t
h
e
s
er
v
er
a
n
d
a
m
eth
o
d
to
s
p
li
t
th
e
to
tal
n
u
m
b
er
o
f
r
eq
u
est
s
th
at
is
p
r
o
p
o
r
tio
n
ate
to
ea
ch
s
er
v
er
b
ased
o
n
its
ca
p
ac
it
y
[
1
5
]
,
[
1
7
]
.
Fig
u
r
e
2
s
h
o
w
s
t
h
e
d
if
f
er
en
t
s
tep
s
i
n
v
o
lv
ed
in
t
h
e
r
eq
u
est
s
ch
ed
u
li
n
g
b
ased
o
n
th
e
q
u
an
ti
f
ic
atio
n
p
r
in
cip
le.
T
h
e
f
o
llo
w
in
g
s
ec
t
io
n
s
p
r
ese
n
t t
h
e
p
h
ases
o
f
t
h
e
r
eq
u
es
t sc
h
ed
u
li
n
g
tec
h
n
iq
u
e
d
esi
g
n
ed
in
t
h
is
r
esear
ch
.
4
.
1
.
Cho
o
s
ing
t
he
M
o
s
t
I
nfluent
ia
l A
t
t
rib
ute
us
ing
Co
njo
int
Ana
ly
s
is
I
n
a
h
eter
o
g
e
n
eo
u
s
d
is
tr
ib
u
te
d
co
m
p
u
tin
g
e
n
v
ir
o
n
m
e
n
t,
t
h
e
w
ei
g
h
ted
n
o
d
es
s
c
h
ed
u
li
n
g
p
r
in
cip
le,
ass
i
g
n
t
h
e
n
u
m
b
er
o
f
r
eq
u
est
s
to
ea
ch
s
er
v
er
b
ased
o
n
its
s
er
v
in
g
ca
p
ac
it
y
.
T
h
e
w
ei
g
h
ts
a
r
e
ass
ig
n
ed
to
ea
ch
s
er
v
er
b
ased
o
n
o
n
e
o
r
m
o
r
e
o
f
its
attr
ib
u
tes.
T
o
d
esig
n
a
w
e
ig
h
ted
n
o
d
e
s
ch
ed
u
lin
g
tech
n
iq
u
e,
in
th
i
s
r
esear
ch
w
o
r
k
,
th
e
m
o
s
t
p
r
ef
er
r
ed
attr
ib
u
te
o
f
a
s
er
v
er
is
u
s
ed
to
m
ea
s
u
r
e
its
s
er
v
in
g
c
ap
ac
it
y
.
I
n
o
r
d
er
to
id
en
ti
f
y
t
h
e
m
o
s
t p
r
ef
er
r
ed
attr
ib
u
te
o
f
a
s
er
v
er
,
C
o
n
j
o
in
t a
n
a
l
y
s
i
s
,
a
s
tati
s
tical
m
et
h
o
d
is
u
s
ed
.
C
o
n
j
o
in
t
A
n
al
y
s
is
o
r
Stated
p
r
ef
er
en
ce
an
al
y
s
is
is
a
m
at
h
e
m
atica
l
s
tatis
t
ical
tech
n
iq
u
e
w
id
el
y
u
s
ed
in
u
s
ed
in
s
o
cial
s
cie
n
ce
s
a
n
d
ap
p
lied
s
cien
ce
,
in
cl
u
d
in
g
m
ar
k
et
in
g
,
p
r
o
d
u
ct
m
a
n
ag
e
m
en
t
an
d
o
p
er
atio
n
s
r
esear
ch
.
T
h
is
an
a
l
y
s
is
is
u
s
e
d
to
m
ea
s
u
r
e
th
e
c
u
s
to
m
er
s
’
p
r
ef
er
en
ce
s
b
a
s
ed
o
n
t
h
e
attr
ib
u
tes
o
f
a
p
r
o
d
u
ct.
I
t
q
u
an
ti
f
ie
s
ea
c
h
attr
ib
u
te’
s
p
r
ef
er
en
ce
v
al
u
e
u
s
in
g
m
u
lti
-
li
n
ea
r
r
eg
r
ess
io
n
.
T
h
e
o
u
tco
m
e
o
f
t
h
e
a
n
al
y
s
is
u
n
v
eils
th
e
attr
ib
u
tes
’
p
ar
t
-
w
o
r
t
h
v
al
u
es
an
d
r
elativ
e
p
r
ef
er
en
ce
v
al
u
e
o
f
th
ese
v
alu
e
s
.
T
h
e
attr
ib
u
te
w
it
h
th
e
h
i
g
h
est
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v
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t
h
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m
o
s
t
p
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er
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attr
ib
u
te
[
1
8
]
.
A
l
g
o
r
ith
m
1
p
r
esen
t
s
th
e
s
te
p
b
y
s
tep
p
r
o
ce
s
s
es
f
o
r
p
er
f
o
r
m
in
g
t
h
e
co
n
j
o
in
t a
n
al
y
s
i
s
.
Fig
u
r
e
2
.
Ov
er
all
p
r
o
ce
s
s
es i
n
v
o
lv
ed
in
t
h
e
Q
u
an
ti
f
icatio
n
p
r
in
cip
le
A
l
g
o
r
i
t
h
m
1
:
Pe
r
f
o
r
m
i
n
g
C
o
n
j
o
i
n
t
A
n
a
l
y
si
s
C
o
n
j
o
i
n
t
_
A
n
a
l
y
si
s(
A
t
t
ri
b
u
t
e
_
Li
s
t
)
b
e
g
i
n
1
.
L
e
t
e
a
c
h
c
o
m
b
i
n
a
t
i
o
n
o
f
t
h
e
A
t
t
r
i
b
u
t
e
s b
e
a
p
r
o
d
u
c
t
_
p
r
o
f
i
l
e
.
2
.
ra
n
k
e
a
c
h
p
r
o
d
u
c
t
_
p
ro
f
i
l
e
b
a
se
d
o
n
u
se
r
p
r
e
f
e
r
e
n
c
e
.
3
.
rep
r
e
se
n
t
t
h
e
r
a
n
k
s
i
n
a
h
y
p
e
r
c
u
b
e
.
4
.
c
a
l
c
u
l
a
t
e
t
h
e
p
a
r
t
_
w
o
rt
h
u
t
i
l
i
t
y
f
r
o
m h
y
p
e
r
c
u
b
e
.
5
.
c
a
l
c
u
l
a
t
e
t
h
e
re
l
a
t
i
v
e
_
p
ref
e
re
n
c
e
o
f
t
h
e
i
n
d
i
v
i
d
u
a
l
a
t
t
r
i
b
u
t
e
.
6
.
ret
u
rn
t
h
e
a
t
t
r
i
b
u
t
e
w
i
t
h
t
h
e
max
i
m
u
m
rel
a
t
i
v
e
_
p
ref
e
re
n
c
e
a
s t
h
e
p
ref
e
rre
d
_
a
t
t
ri
b
u
t
e
En
d
/
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En
d
o
f
C
o
n
j
o
i
n
t
A
n
a
l
y
s
i
s
*
/
O
u
t
p
u
t
:
A
t
t
ri
b
u
t
e
w
i
t
h
m
a
x
i
m
u
m
p
r
e
f
e
rence
Fo
r
th
i
s
r
esear
ch
,
co
n
j
o
in
t
a
n
al
y
s
i
s
h
as
b
ee
n
ca
r
r
ied
o
u
t
with
t
h
e
f
o
llo
w
i
n
g
attr
ib
u
te
li
s
t
:
Ser
v
er
’
s
th
r
o
u
g
h
p
u
t,
th
e
n
u
m
b
er
o
f
p
ar
allel
co
n
n
ec
tio
n
s
it
ca
n
h
a
n
d
le
ie,
lo
ad
ca
p
ac
ity
an
d
m
e
m
o
r
y
s
ize.
L
o
ad
ca
p
ac
it
y
w
as id
en
tifie
d
as th
e
m
o
s
t p
r
ef
er
r
ed
attr
ib
u
te
o
f
t
h
e
s
er
v
er
.
An
elab
o
r
ate
d
is
cu
s
s
io
n
o
n
c
o
n
j
o
in
t
an
al
y
s
is
a
n
d
th
e
m
et
h
o
d
o
f
p
er
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o
r
m
i
n
g
co
n
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o
in
t
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al
y
s
i
s
o
n
a
s
et
o
f
attr
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u
te
s
ar
e
p
r
esen
ted
i
n
[
1
9
]
.
4
.
2
.
Q
ua
ntif
y
ing
t
he
At
t
ribute
V
a
lues
us
i
ng
Z
-
s
co
re
M
et
ho
d
T
h
e
allo
ca
tio
n
s
h
ar
e
f
o
r
ea
ch
s
er
v
er
is
d
eter
m
i
n
ed
u
s
i
n
g
its
s
er
v
in
g
ca
p
ac
it
y
b
ased
o
n
th
e
m
o
s
t
p
r
ef
er
r
ed
attr
ib
u
te
o
f
t
h
e
s
er
v
er
.
A
s
tatis
t
ical
m
et
h
o
d
ca
ll
ed
Z
-
s
co
r
e
is
u
s
ed
to
d
o
th
i
s
.
Stan
d
ar
d
s
co
r
e
o
r
Z
-
s
co
r
e
is
a
m
ea
s
u
r
e
to
q
u
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t
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f
y
th
e
d
if
f
er
en
ce
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e
t
w
ee
n
m
e
m
b
er
s
o
f
a
g
r
o
u
p
a
n
d
th
e
m
ea
n
v
a
lu
e
o
f
t
h
e
g
r
o
u
p
.
I
t
is
a
m
et
h
o
d
o
f
ca
lcu
la
tin
g
th
e
p
r
o
b
ab
ilit
y
o
f
a
s
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r
e
o
cc
u
r
r
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g
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u
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er
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m
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i
s
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ib
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tio
n
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s
u
c
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t
h
e
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o
r
m
al
d
is
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ib
u
tio
n
.
T
h
e
p
r
o
b
ab
ilit
y
v
al
u
e
o
b
tai
n
ed
u
s
i
n
g
Z
-
s
co
r
e
is
t
h
e
q
u
a
n
ti
f
ied
v
al
u
e
o
f
th
e
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
8
,
No
.
2
,
A
p
r
il
201
8
:
1
2
3
8
–
1246
1242
s
co
r
e’
s
r
elati
v
e
m
ea
s
u
r
e.
T
h
er
ef
o
r
e,
th
e
Z
-
s
co
r
e
m
et
h
o
d
is
u
s
ed
i
n
t
h
i
s
r
esear
c
h
is
to
en
u
m
er
ate
a
t
h
r
es
h
o
ld
v
alu
e
f
o
r
ea
c
h
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er
v
er
th
at
in
d
i
ca
tes
t
h
e
q
u
a
n
ti
f
ied
m
ea
s
u
r
e
o
f
r
eq
u
es
ts
co
r
r
esp
o
n
d
in
g
to
t
h
e
s
er
v
er
’
s
ca
p
ac
it
y
[
2
0
]
.
An
attr
ib
u
te
’
s
v
al
u
e
s
et
is
ta
k
en
as
th
e
i
n
p
u
t
f
o
r
th
e
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-
s
co
r
e
m
eth
o
d
an
d
it
m
ea
s
u
r
es
th
e
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tan
d
ar
d
s
co
r
es
f
r
o
m
t
h
e
s
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d
ar
d
n
o
r
m
al
d
is
tr
ib
u
tio
n
.
T
h
ese
v
al
u
e
s
w
er
e
co
n
v
er
ted
i
n
to
th
e
u
n
i
t
o
f
th
e
p
er
ce
n
tag
e
,
n
a
m
e
l
y
s
e
r
vicin
g
cu
to
ff
,
th
at
s
ig
n
i
f
ies
t
h
e
allo
ca
tio
n
s
h
ar
e
o
f
ea
ch
s
er
v
er
f
o
r
th
e
to
tal
i
n
co
m
i
n
g
r
eq
u
ests
.
B
ased
o
n
t
h
is
a
llo
ca
tio
n
s
h
ar
e,
th
e
r
eq
u
e
s
t
s
p
lit
-
o
f
f
r
ep
r
es
en
ti
n
g
th
e
n
u
m
b
er
o
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r
eq
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est
s
o
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t
o
f
th
e
to
tal
n
u
m
b
er
o
f
r
eq
u
est
s
t
h
at
a
s
er
v
er
is
ex
p
ec
ted
to
s
er
v
e
n
a
m
el
y
r
eq
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est
s
p
lit
o
ff
i
s
ca
lc
u
lated
.
A
l
g
o
r
it
h
m
2
p
r
esen
ts
t
h
e
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tep
s
o
f
co
m
p
u
ti
n
g
Z
-
s
co
r
e
f
o
r
th
e
v
al
u
e
s
et
o
f
t
h
e
p
r
ef
er
r
ed
attr
ib
u
te.
A
l
g
o
r
i
t
h
m
2
:
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o
m
p
u
t
i
n
g
Z
-
sco
r
e
A
l
g
o
r
i
t
h
m
Z
_
sc
o
re(P
i
)
/
*
P
i
s
t
h
e
p
r
e
f
e
r
r
e
d
a
t
t
ri
b
u
t
e
f
o
r
a
l
l
t
h
e
ser
v
e
rs;
P
i
i
s t
h
e
v
a
l
u
e
o
f
p
r
e
f
e
rr
e
d
a
t
t
r
i
b
u
t
e
P
o
f
ser
v
e
r
i
;
Z
p
i
s
t
h
e
Z
-
sco
r
e
v
a
l
u
e
o
f
P
i
;
*/
b
e
g
i
n
1
.
c
o
m
p
u
t
e
M
e
a
n
=
∑
P
j
n
j
=
1
n
;
w
h
e
r
e
P
j
i
s
t
h
e
v
a
l
u
e
o
f
t
h
e
p
r
e
f
e
r
r
e
d
a
t
t
r
i
b
u
t
e
o
f
se
r
v
e
r
j
(
1
)
2.
c
o
m
p
u
t
e
S
D
=
√
1
n
∑
(
P
j
−
M
e
a
n
)
2
n
j
=
1
;
w
h
e
r
e
S
D
i
s t
h
e
S
t
a
n
d
a
r
d
D
e
v
i
a
t
i
o
n
;
(
2
)
3.
c
o
m
p
u
t
e
S
t
d
_
S
c
o
r
e
i
=
(
P
i
−
Mean
SD
)
;
(
3
)
4.
c
o
m
p
u
t
e
Zp
=
m
a
p
(
S
t
d
_
S
c
o
r
e
i
)
;
/
*
F
u
n
c
t
i
o
n
o
f
m
a
p
p
i
n
g
t
h
e
S
t
d
_
S
c
o
r
e
i
n
Z
-
T
a
b
l
e
*
/
5
.
r
e
t
u
r
n
Z
p
;
e
n
d
/
*
E
n
d
o
f
Z
_
sc
o
r
e
a
l
g
o
ri
t
h
m
*
/
O
u
t
p
u
t
:
Zp
An
elab
o
r
ate
d
is
cu
s
s
io
n
o
n
Z
-
s
co
r
e
an
d
th
e
m
et
h
o
d
o
f
co
m
p
u
ti
n
g
t
h
e
r
eq
u
est
s
p
lit o
f
f
u
s
i
n
g
Z
-
s
co
r
e
w
it
h
a
s
et
o
f
v
al
u
es a
r
e
p
r
esen
ted
in
[
2
1
]
.
4
.
3
.
Co
ns
o
lid
a
t
io
n o
f
t
he
Serv
ice
Requests
T
h
e
r
eq
u
est
s
ch
ed
u
ler
co
llects
th
e
in
co
m
in
g
r
eq
u
est
s
f
o
r
a
d
is
cr
ete
ti
m
e
in
ter
v
al
b
et
w
ee
n
t
0
an
d
t
1
.
E
ac
h
r
eq
u
est
’
s
ar
r
iv
al
i
s
ti
m
e
s
ta
m
p
ed
.
A
s
i
n
g
le
u
s
er
ca
n
m
ak
e
an
y
n
u
m
b
er
o
f
r
eq
u
e
s
ts
,
b
u
t
ea
ch
r
eq
u
e
s
t
is
co
n
s
id
er
ed
as a
s
ep
ar
ate
j
o
b
.
R
eq
u
est
s
ar
e
q
u
eu
ed
b
ased
o
n
a
f
ir
s
t
-
co
m
e,
f
ir
s
t
-
s
er
v
ed
p
r
in
c
ip
le.
4
.
4
.
Ass
ig
n
m
ent
o
f
P
rio
rit
ies t
o
t
he
Serv
ice
Request
s
Sin
ce
t
h
e
ca
p
ac
it
y
co
n
s
tr
ain
t
s
r
estrict
th
e
n
u
m
b
er
o
f
r
eq
u
ests
a
s
er
v
er
ca
n
p
r
o
ce
s
s
,
th
e
s
ch
ed
u
le
r
ass
i
g
n
s
p
r
io
r
ities
to
th
e
r
eq
u
e
s
ts
b
ased
o
n
a
cr
iter
io
n
.
T
h
e
r
eq
u
ests
ar
e
p
r
io
r
itized
b
ased
o
n
th
e
s
er
v
ices
it
s
ee
k
s
.
T
h
e
p
r
io
r
itizatio
n
m
a
y
b
e
b
ased
o
n
th
e
b
u
s
i
n
ess
v
al
u
e
o
f
th
e
s
er
v
ice
o
r
its
d
e
m
a
n
d
h
is
to
r
y
[
2
2
]
.
4
.
5
.
Ass
ig
n
m
ent
o
f
Serv
ice
Requ
est
s
t
o
t
he
S
er
v
er
T
h
e
lo
ad
ca
p
ac
ity
o
f
t
h
e
s
er
v
er
an
d
t
h
e
m
e
m
o
r
y
r
eq
u
ir
e
m
e
n
t
o
f
t
h
e
r
eq
u
e
s
ts
ar
e
th
e
t
w
o
i
m
p
o
r
tan
t
co
n
s
tr
ain
ts
th
at
i
m
p
ac
t
t
h
e
a
s
s
i
g
n
m
e
n
t
o
f
r
eq
u
e
s
ts
to
a
s
er
v
er
.
A
f
ter
co
m
p
u
tin
g
th
e
r
eq
u
est
s
p
lit
-
o
f
f
o
f
r
eq
u
ests
f
o
r
ea
ch
s
er
v
er
a
s
d
escr
ib
ed
in
s
ec
tio
n
4
.
2
,
r
eq
u
est
s
c
h
ed
u
ler
as
s
i
g
n
s
th
e
r
eq
u
est
s
to
th
e
s
er
v
er
s
w
it
h
o
u
t
v
io
lati
n
g
t
h
e
ca
p
ac
it
y
co
n
s
tr
ai
n
ts
.
R
eq
u
est
s
ar
e
as
s
i
g
n
ed
to
th
e
s
er
v
er
s
i
n
t
h
e
o
r
d
er
o
f
t
h
eir
p
r
io
r
it
y
.
A
l
g
o
r
ith
m
3
p
r
esen
t
s
th
e
r
eq
u
est s
c
h
ed
u
li
n
g
b
ased
o
n
t
h
e
q
u
an
ti
f
icatio
n
p
r
in
cip
le.
A
l
g
o
r
i
t
h
m
3
:
S
e
r
v
i
c
e
r
e
q
u
e
st
s
c
h
e
d
u
l
i
n
g
t
e
c
h
n
i
q
u
e
b
a
sed
o
n
Qu
a
n
t
i
f
i
c
a
t
i
o
n
p
r
i
n
c
i
p
l
e
A
l
g
o
r
i
t
h
m
R
e
q
_
S
c
h
e
d
u
l
i
n
g
(
n
,
N
,
S
,
R
,
k
,
M
,
v
)
/*
n
-
n
u
mb
e
r
o
f
se
r
v
e
r
s
w
h
e
r
e
n
i
s
a
n
a
t
u
r
a
l
n
u
m
b
e
r
;
N
-
S
e
t
o
f
se
r
v
e
r
s;
N
=
{
N
1
,
N
2
,
N
3
,
…
N
n
};
S
-
S
e
t
o
f
se
r
v
i
c
e
s,
S
=
{S
1
,
S
2
,
S
3
,
…
S
m
};
w
h
e
r
e
m
i
s a
n
a
t
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r
a
l
n
u
m
b
e
r
,
m
>
0
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-
N
u
mb
e
r
o
f
r
e
q
u
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st
s
;
R
-
S
e
t
o
f
r
e
q
u
e
st
s
f
o
r
t
h
e
se
r
v
i
c
e
s,
R
=
{
R
1
,
R
2
,
R
3
,
…
.
R
k
};
w
h
e
r
e
k
i
s a
n
a
t
u
r
a
l
n
u
m
b
e
r
;
v
-
A
n
a
t
u
r
a
l
n
u
mb
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r
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g
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d
f
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r
t
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t
e
m b
a
se
d
o
n
t
h
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b
u
s
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n
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ss v
a
l
u
e
;
k
-
N
u
mb
e
r
o
f
r
e
q
u
e
st
s
;
*/
b
e
g
i
n
1
.
P
=
C
o
n
j
o
i
n
t
_
A
n
a
l
y
si
s(
A
t
t
r
i
b
u
t
e
_
L
i
st
)
;
/
*
U
s
i
n
g
C
o
n
j
o
i
n
t
_
An
a
l
y
si
s
a
l
g
o
r
i
t
h
m
t
h
e
m
o
st
p
r
e
f
e
rre
d
a
t
t
r
i
b
u
t
e
P
f
ro
m
t
h
e
a
t
t
ri
b
u
t
e
s
l
i
st
i
s
c
h
o
s
e
n
*
/
2
.
c
o
m
p
u
t
e
=
Z
_
S
c
o
re(P
i
);
/
*
Q
u
a
n
t
i
f
i
c
a
t
i
o
n
o
f
P
b
y
Z
_
S
c
o
r
e
a
l
g
o
ri
t
h
m
(
4
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2088
-
8708
S
ervice
R
eq
u
est S
ch
ed
u
lin
g
b
a
s
ed
o
n
Qu
a
n
tifi
ca
tio
n
P
r
in
ci
p
le
u
s
in
g
C
o
n
jo
i
n
t …
.
(
R
.
A
r
o
kia
P
a
u
l R
a
ja
n
)
1243
w
h
e
r
e
1
i
n
3
.
c
o
m
p
u
t
e
Z
=
∑
n
=
1
;
(
5
)
4
.
c
o
m
p
u
t
e
T
i
=
a
(
i
)
;
(
6
)
/
*
F
o
r
e
a
c
h
ser
v
e
r
c
a
l
c
u
l
a
t
e
S
e
rvi
c
i
n
g
c
u
t
o
f
f
T
i
a
n
d
i
d
e
n
o
t
e
s
i
th
ser
v
e
r
*
/
w
h
e
r
e
1
i
n
/
*
En
d
o
f
Q
u
a
n
t
i
f
i
c
a
t
i
o
n
*
/
5
.
re
o
r
d
e
r
r
e
q
u
e
st
s
R
b
a
se
d
o
n
t
h
e
se
r
v
i
c
e
v
a
l
u
e
v
;
/
*
Pr
i
o
r
i
t
i
ze
t
h
e
re
q
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e
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DIS
CUSS
I
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d
esig
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r
eq
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est
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ch
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w
it
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est
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S
imu
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(
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n
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est
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en
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p
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s
,
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it
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ad
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p
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T
h
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f
u
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o
f
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s
m
u
ch
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An
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[
2
3
]
.
A
n
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b
o
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ate
d
is
cu
s
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io
n
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n
t
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d
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n
p
r
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ip
le
as
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p
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e
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ts
w
i
th
R
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s
p
r
ese
n
ted
in
[
2
4
]
.
T
h
e
d
ash
b
o
ar
d
o
f
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s
i
m
u
lato
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is
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F
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Fig
u
r
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3
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Dash
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Usi
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h
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e
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x
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ti
n
g
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ch
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d
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lin
g
p
r
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les [
2
5
]
.
5
.
1
.
Av
er
a
g
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Wa
it
T
i
m
e
T
h
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ch
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u
ler
h
a
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to
ap
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p
r
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te
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eq
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es
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to
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er
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f
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n
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er
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x
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ce
.
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h
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r
e,
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s
ch
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u
li
n
g
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n
iq
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icie
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ig
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as
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as p
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th
at
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tai
ls
in
m
in
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m
iz
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t
h
e
r
eq
u
ests
w
ait
ti
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n
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h
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r
eq
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h
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Av
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ag
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im
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(
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s
)
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o
r
a
s
er
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er
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g
i
v
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as,
=
∑
–
=
1
(
8
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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:
2
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8
8
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I
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–
1246
1244
w
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x
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ts
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co
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d
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cted
in
R
SS
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n
d
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ag
e
w
ait
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s
f
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all
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ices
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les f
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i
g
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4
.
Fig
u
r
e
4
.
Av
er
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w
ait
ti
m
e
o
f
th
e
r
eq
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e
s
ts
f
o
r
th
e
s
er
v
ices
5
.
2
.
T
o
t
a
l Ea
rned
Va
lue
Sin
ce
t
h
e
ca
p
ac
it
y
co
n
s
tr
ain
t
s
o
n
th
e
s
er
v
er
s
r
estric
t
th
e
n
u
m
b
er
o
f
r
eq
u
e
s
ts
t
h
at
ca
n
b
e
p
r
o
ce
s
s
ed
,
p
r
io
r
ities
f
o
r
th
e
r
eq
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est
s
h
a
v
e
b
ee
n
ass
i
g
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.
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ac
h
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ass
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g
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v
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ased
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n
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h
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a
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e
ass
i
g
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y
n
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m
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ll
y
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ased
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er
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s
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y
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o
r
a
s
p
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f
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tatic
b
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s
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v
al
u
e
d
ec
id
ed
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y
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h
e
s
y
s
te
m
d
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g
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er
.
I
n
R
SS
,
t
h
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in
v
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T
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a
r
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Valu
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co
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p
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as f
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w
s
:
=
∑
=
1
(
9
)
w
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V
A
L
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T
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ar
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Valu
e
m
ea
s
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r
ed
as
a
n
at
u
r
al
n
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m
b
er
,
NS
i
is
t
h
e
n
u
m
b
er
o
f
r
eq
u
est
s
s
er
v
ed
b
y
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e
s
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i
w
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i
=
1
,
2
,
…
n
,
n
is
th
e
n
u
m
b
e
r
o
f
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er
v
er
s
an
d
v
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e
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ei
g
h
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a
s
s
i
g
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ed
to
i
th
s
er
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Fi
g
u
r
e
5
s
h
o
w
th
e
t
o
ta
l E
ar
n
ed
Valu
e
o
f
t
h
e
s
er
v
er
s
.
Fig
u
r
e
5
.
T
o
tal
E
ar
n
ed
Valu
e
o
f
th
e
s
er
v
er
s
E
x
p
er
i
m
e
n
ts
w
er
e
co
n
d
u
cted
u
s
i
n
g
R
SS
to
p
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e
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t
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q
u
an
ti
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ica
tio
n
p
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le
b
ased
r
eq
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est
s
ch
ed
u
li
n
g
tech
n
iq
u
e.
A
f
ter
a
s
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ies
o
f
ex
p
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im
en
ts
,
th
e
r
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lts
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id
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d
A
NOV
A
w
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ca
r
r
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[
2
6
]
.
I
t
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p
r
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f
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t
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lt
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p
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ased
r
eq
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est
s
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u
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tech
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e
p
er
f
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b
etter
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0
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4
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6
0
0
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N3
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T
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p
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Acti
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Mo
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lue (
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Serv
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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p
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S
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ased
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ased
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ased
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h
ar
e
s
atis
f
y
i
n
g
th
e
ca
p
ac
it
y
co
n
s
t
r
ai
n
ts
.
E
x
p
er
i
m
e
n
ts
w
er
e
co
n
d
u
cted
u
s
i
n
g
a
clo
u
d
s
i
m
u
lato
r
to
p
r
o
v
e
th
e
ef
f
ec
ti
v
e
n
es
s
o
f
th
e
q
u
a
n
ti
f
icatio
n
p
r
in
cip
le
b
ased
r
eq
u
est
s
ch
ed
u
li
n
g
tec
h
n
iq
u
e.
T
h
e
d
esig
n
e
d
s
ch
ed
u
li
n
g
p
r
in
cip
le
f
o
u
n
d
to
b
e
s
u
itab
le
f
o
r
I
n
f
r
as
tr
u
ct
u
r
e
as
a
Ser
v
ice
clo
u
d
m
o
d
el.
E
x
ten
d
i
n
g
t
h
e
d
esi
g
n
ed
s
o
l
u
tio
n
f
o
r
o
t
h
er
clo
u
d
m
o
d
els is
a
d
e
s
ir
ab
le
ex
ten
s
io
n
o
f
th
i
s
r
esear
ch
.
RE
F
E
R
E
NC
E
S
[1
]
S
.
A
n
d
re
w
Tan
e
n
b
a
u
m
a
n
d
M
.
S
t
e
e
n
,
“
Distrib
u
ted
S
y
ste
ms
:
Prin
c
i
p
les
a
n
d
P
a
ra
d
ig
ms
,
”
P
re
n
t
ice
-
Ha
ll
In
c
.
,
2
0
0
8
.
[2
]
D.
V
i
d
y
a
rth
i,
e
t
a
l.
,
“
S
c
h
e
d
u
li
n
g
i
n
Distrib
u
ted
C
o
mp
u
ti
n
g
S
y
ste
ms
,
An
a
lys
is,
De
sig
n
a
n
d
M
o
d
e
ls,
”
El
se
v
ier,
2
0
0
9
.
[3
]
H.
Yu
,
e
t
a
l.
,
“
J
o
b
S
c
h
e
d
u
li
n
g
Al
g
o
rit
h
m
In
Cl
o
u
d
En
v
ir
o
n
me
n
t,
”
in
5
th
I
n
tern
a
ti
o
n
a
l
Co
n
f
e
re
n
c
e
o
n
Co
m
p
u
tatio
n
a
l
a
n
d
I
n
f
o
rm
a
ti
o
n
S
c
ien
c
e
s,
p
p
.
1
6
5
2
-
1
6
5
5
,
2
0
1
1
.
[4
]
A
.
T
h
o
m
a
s
He
n
z
in
g
e
r,
e
t
a
l.
,
“
S
ta
ti
c
sc
h
e
d
u
li
n
g
in
C
lo
u
d
s,”
in
3
rd
US
ENIX
c
o
n
f
e
re
n
c
e
o
n
H
o
t
to
p
ics
in
c
lo
u
d
c
o
m
p
u
ti
n
g
,
p
p
.
1
-
6
,
2
0
1
1
.
[5
]
W
.
Wan
g
a
n
d
G
.
C
a
sa
le,
“
Eva
lu
a
ti
n
g
W
e
ig
h
ted
R
o
u
n
d
Ro
b
in
L
o
a
d
B
a
la
n
c
in
g
fo
r
Clo
u
d
W
e
b
S
e
r
v
ice
s,”
in
1
6
t
h
In
tern
a
ti
o
n
a
l
S
y
m
p
o
siu
m
o
n
S
y
m
b
o
li
c
a
n
d
N
u
m
e
ric
A
lg
o
rit
h
m
s f
o
r
S
c
ien
ti
f
ic Co
m
p
u
ti
n
g
,
p
p
.
3
9
3
-
4
0
0
,
2
0
1
4
.
[6
]
N.
Ro
d
rig
o
Ca
lh
e
iro
s,
e
t
a
l
.
,
“
Clo
u
d
S
im
:
A
T
o
o
lk
it
f
o
r
M
o
d
e
li
n
g
a
n
d
S
im
u
latio
n
o
f
Clo
u
d
Co
m
p
u
ti
n
g
En
v
iro
n
m
e
n
ts
a
n
d
Ev
a
lu
a
ti
o
n
o
f
Re
so
u
rc
e
P
r
o
v
isio
n
i
n
g
A
lg
o
rit
h
m
s,”
S
o
ft
w
a
re
:
Pra
c
ti
c
e
a
n
d
Ex
p
e
rie
n
c
e
,
W
il
e
y
P
re
ss
,
v
o
l
.
4
1
,
n
o
.
1
,
p
p
.
2
3
-
5
0
,
2
0
1
1
.
[7
]
L
.
D.
Dh
in
e
sh
Ba
b
u
a
n
d
P
.
V
e
n
k
a
ta
Krish
n
a
,
“
Ho
n
e
y
b
e
e
b
e
h
a
v
io
r
in
sp
ired
l
o
a
d
b
a
lan
c
in
g
o
f
tas
k
s
in
c
lo
u
d
c
o
m
p
u
ti
n
g
e
n
v
iro
n
m
e
n
ts,
”
Ap
p
li
e
d
S
o
ft
C
o
mp
u
ti
n
g
,
v
o
l.
1
3
(
5
),
p
p
.
2
2
9
2
–
2
3
0
3
,
2
0
1
3
.
[8
]
Yu
a
n
,
e
t
a
l
.
,
“
T
e
m
p
o
ra
l
tas
k
sc
h
e
d
u
li
n
g
w
it
h
c
o
n
stra
in
e
d
se
rv
ice
d
e
lay
f
o
r
p
ro
f
it
m
a
x
i
m
iza
ti
o
n
in
h
y
b
rid
c
lo
u
d
s,”
IEE
E
T
ra
n
sa
c
ti
o
n
s
o
n
Au
t
o
ma
t
io
n
S
c
ien
c
e
a
n
d
En
g
i
n
e
e
rin
g
,
v
o
l.
1
4
,
p
p
.
3
3
7
-
3
4
8
,
2
0
1
7
.
[9
]
H.
Ch
e
n
,
e
t
a
l.
,
“
Us
e
r
-
p
rio
rity
g
u
id
e
d
M
i
n
-
M
in
sc
h
e
d
u
li
n
g
a
lg
o
ri
th
m
fo
r
l
o
a
d
b
a
la
n
c
in
g
i
n
c
lo
u
d
c
o
mp
u
ti
n
g
,
”
i
n
Na
ti
o
n
a
l
Co
n
f
e
re
n
c
e
o
n
P
a
ra
ll
e
l
Co
m
p
u
ti
n
g
T
e
c
h
n
o
lo
g
ies
,
p
p
.
1
-
8
,
2
0
1
3
.
[1
0
]
M
.
M
e
sb
a
h
i,
e
t
a
l.
,
“
Clo
u
d
li
g
h
t
we
ig
h
t:
A
n
e
w
so
lu
ti
o
n
f
o
r
lo
a
d
b
a
l
a
n
c
i
n
g
in
c
lo
u
d
c
o
mp
u
ti
n
g
,
”
in
In
tern
a
ti
o
n
a
l
Co
n
f
e
re
n
c
e
o
n
Da
ta S
c
ien
c
e
&
E
n
g
in
e
e
rin
g
,
p
p
.
4
4
-
5
0
,
2
0
1
4
.
[1
1
]
X
iao
S
o
n
g
,
e
t
a
l.
,
“
A
L
o
a
d
Ba
la
n
c
in
g
S
c
h
e
m
e
Us
in
g
F
e
d
e
ra
te
M
ig
ra
ti
o
n
Ba
se
d
o
n
V
irt
u
a
l
M
a
c
h
in
e
s
f
o
r
Clo
u
d
S
im
u
latio
n
s,”
M
a
th
e
m
a
ti
c
a
l
Pro
b
lem
s in
En
g
i
n
e
e
rin
g
,
v
o
l.
2
0
1
5
,
Article
ID 5
0
6
4
3
2
,
2
0
1
5
.
[1
2
]
W
.
T
.
Wen
,
e
t
a
l.
,
“
An
ACO
-
b
a
se
d
S
c
h
e
d
u
li
n
g
S
tr
a
teg
y
o
n
L
o
a
d
Ba
la
n
c
in
g
i
n
Cl
o
u
d
Co
m
p
u
t
in
g
E
n
v
iro
n
me
n
t
,
”
i
n
9
th
I
n
tern
a
ti
o
n
a
l
C
o
n
f
e
re
n
c
e
o
n
F
ro
n
ti
e
r
o
f
Co
m
p
u
ter S
c
ien
c
e
a
n
d
T
e
c
h
n
o
lo
g
y
,
p
p
.
3
6
4
-
3
6
9
,
2
0
1
5
.
[1
3
]
M
e
n
g
,
e
t
a
l.
,
“
An
U
n
c
e
rta
in
ty
-
A
wa
re
Evo
lu
ti
o
n
a
ry
S
c
h
e
d
u
li
n
g
M
e
th
o
d
f
o
r
Clo
u
d
S
e
rv
ice
Pro
v
isio
n
in
g
,
”
i
n
2
0
1
6
IEE
E
In
tern
a
ti
o
n
a
l
Co
n
f
e
re
n
c
e
o
n
W
e
b
S
e
rv
ice
s (IC
W
S
),
p
p
.
5
0
6
-
5
1
3
,
2
0
1
6
.
[1
4
]
S
iri
sh
a
P
o
tl
u
ri
a
n
d
Ka
tt
a
S
u
b
b
a
R
a
o
,
“
Qu
a
li
ty
o
f
S
e
rv
ice
b
a
se
d
Tas
k
S
c
h
e
d
u
li
n
g
A
lg
o
rit
h
m
s
in
Clo
u
d
Co
m
p
u
ti
n
g
,
”
In
ter
n
a
t
io
n
a
l
J
o
u
rn
a
l
o
f
E
lec
trica
l
a
n
d
C
o
mp
u
ter
En
g
in
e
e
rin
g
(
IJ
ECE
),
V
o
l
7
,
N
o
2
,
p
p
.
1
0
8
8
-
1
0
9
4
,
A
p
ril
2
0
1
7
.
[1
5
]
R.
A
ro
k
ia
P
a
u
l
Ra
jan
,
“
Req
u
e
st
S
c
h
e
d
u
li
n
g
b
a
se
d
o
n
Qu
a
n
ti
fi
c
a
ti
o
n
Pri
n
c
ip
le
i
n
Clo
u
d
,
”
i
n
In
ter
n
a
ti
o
n
a
l
Co
n
f
e
re
n
c
e
o
n
Big
d
a
ta an
d
Cl
o
u
d
Co
m
p
u
ti
n
g
(ICBDCC'
1
7
),
p
p
.
1
3
5
-
1
4
2
,
A
p
ril
2
0
1
7
.
[1
6
]
Jia
o
Jin
tao
,
e
t
a
l.
,
“
Re
se
a
rc
h
o
n
Ba
tch
S
c
h
e
d
u
li
n
g
in
Clo
u
d
Co
m
p
u
ti
n
g
,
”
T
EL
KOM
NIKA
(
T
e
le
c
o
mm
u
n
ic
a
ti
o
n
,
Co
mp
u
t
in
g
,
El
e
c
tro
n
ics
a
n
d
Co
n
t
ro
l),
V
o
l
1
4
,
N
o
4
,
p
p
.
1
4
5
4
-
1
4
6
1
,
De
c
e
m
b
e
r
2
0
1
6
.
[1
7
]
R.
P
a
n
n
e
e
rse
lv
a
m
,
Res
e
a
rc
h
M
e
th
o
d
o
l
o
g
y
,
P
re
n
ti
c
e
-
Ha
ll
o
f
In
d
ia,
2
0
0
4
.
[1
8
]
R.
V
i
th
a
la Ra
o
,
Ap
p
li
e
d
Co
n
jo
i
n
t
An
a
lys
is,
S
p
ri
n
g
e
r,
2
0
1
4
.
[1
9
]
R.
A
ro
k
ia
P
a
u
l
Ra
jan
,
e
t
a
l
.
,
“
P
r
e
fe
re
n
c
e
A
n
a
l
y
sis
f
o
r
En
u
m
e
ra
ti
o
n
o
f
th
e
M
o
st
I
n
f
lu
e
n
ti
a
l
A
tt
rib
u
te
o
f
Co
m
p
u
te
No
d
e
s,”
In
ter
n
a
ti
o
n
a
l
J
o
u
rn
a
l
o
f
Co
mp
u
ter
A
p
p
li
c
a
ti
o
n
s,
Vo
l
u
m
e
1
2
1
,
Iss
u
e
2
2
,
Ju
ly
2
0
1
5
,
p
p
.
1
7
-
2
2
.
[2
0
]
S
.
C.
G
u
p
ta an
d
V
.
K
.
Ka
p
o
o
r,
F
u
n
d
a
me
n
t
a
ls
o
f
M
a
th
e
m
a
ti
c
a
l
S
t
a
ti
stics
,
Su
l
tan
Ch
a
n
d
&
S
o
n
s,
2
0
1
4
.
[2
1
]
R.
A
ro
k
ia
P
a
u
l
Ra
jan
a
n
d
F
.
S
a
g
a
y
a
ra
j
F
ra
n
c
is,
“
Qu
a
n
ti
fi
e
d
W
e
ig
h
te
d
No
d
e
s
S
c
h
e
d
u
li
n
g
Prin
c
i
p
le
Fo
r
Clo
u
d
Arc
h
it
e
c
tu
re
s,”
in
1
2
t
h
In
tern
a
ti
o
n
a
l
Co
n
f
e
re
n
c
e
o
n
In
n
o
v
a
ti
v
e
En
g
in
e
e
rin
g
T
e
c
h
n
o
lo
g
ies
(ICIE
T
),
p
p
.
5
6
-
6
0
,
2
0
1
5
.
[2
2
]
Z.
L
e
e
,
e
t
a
l.
,
“
A
d
y
n
a
mic
p
rio
r
it
y
sc
h
e
d
u
li
n
g
a
lg
o
rith
m
o
n
se
rv
ice
re
q
u
e
st
sc
h
e
d
u
l
in
g
i
n
c
lo
u
d
c
o
mp
u
ti
n
g
,
”
i
n
In
tern
a
ti
o
n
a
l
Co
n
f
e
re
n
c
e
o
n
El
e
c
tro
n
ic
a
n
d
M
e
c
h
a
n
ica
l
En
g
in
e
e
rin
g
a
n
d
In
f
o
rm
a
ti
o
n
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Evaluation Warning : The document was created with Spire.PDF for Python.