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m
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[
1
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.
T
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in
cr
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ed
ch
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s
it
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d
g
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[
2
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cr
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ca
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h
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co
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s
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m
p
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d
in
cr
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m
p
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cr
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all
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C
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[
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b
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P
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w
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A
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ev
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[
4
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L
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
R
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N:
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4864
Th
erma
l A
n
a
lysi
s
o
f F
a
ir
S
ch
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lin
g
in
R
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l
-
time
E
mb
ed
d
ed
S
ystems
(
Ta
yy
a
b
a
B
o
k
h
a
r
i
)
49
te
m
p
er
atu
r
e.
A
p
o
s
iti
v
e
f
ee
d
b
ac
k
lo
o
p
ex
is
ts
b
et
w
ee
n
leak
a
g
e
an
d
te
m
p
er
at
u
r
e.
I
n
6
5
n
m
t
ec
h
n
o
lo
g
y
,
i
f
a
ch
i
p
te
m
p
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atu
r
e
r
is
e
s
f
r
o
m
6
0
o
C
t
o
8
0
o
C
,
leak
ag
e
p
o
w
er
in
cr
ea
s
es
b
y
2
1
%
[
5
]
.
T
h
is
ca
n
d
a
m
a
g
e
t
h
e
cir
cu
it
if
n
o
t
p
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o
p
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ly
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an
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led
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T
h
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s
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e
s
in
S
y
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te
m
-
on
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ip
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e
to
t
w
o
m
aj
o
r
th
er
m
al
p
h
en
o
m
en
a
[
6
]
:
C
r
ea
tio
n
o
f
t
h
er
m
a
l c
y
cle
s
ca
u
s
ed
b
y
te
m
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r
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v
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b
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w
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u
p
p
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d
lo
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b
o
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d
s
.
C
r
ea
tio
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o
f
h
o
ts
p
o
ts
ca
u
s
e
d
b
y
co
n
ce
n
tr
ated
o
n
-
c
h
ip
co
m
p
u
tatio
n
ac
ti
v
it
y
at
an
y
p
ar
ticu
lar
co
r
e/co
m
p
o
n
e
n
t le
v
el.
T
h
er
m
al
c
y
cle
s
ar
e
cr
ea
ted
d
u
e
to
w
o
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lo
ad
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ar
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n
,
lo
w
f
r
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en
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y
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o
w
er
c
h
an
g
es
o
r
d
u
e
to
s
o
m
e
p
o
w
er
m
a
n
ag
e
m
e
n
t
a
s
s
es
s
m
en
t
li
k
e
p
u
t
tin
g
t
h
e
s
y
s
te
m
i
n
to
d
ee
p
s
leep
m
o
d
e
i
n
id
le
ti
m
e
u
n
i
ts
.
T
h
is
p
h
e
n
o
m
e
n
o
n
o
f
th
er
m
al
c
y
cle
s
h
as
co
r
r
elatio
n
w
i
th
t
h
e
m
a
g
n
i
tu
d
e
a
n
d
f
r
eq
u
e
n
c
y
o
f
t
h
e
te
m
p
er
atu
r
e
c
y
cles
o
n
t
h
e
co
r
e.
T
h
ese
c
y
c
les
ca
u
s
e
ac
ce
ler
ated
p
ac
k
ag
e
f
ati
g
u
e
a
n
d
p
last
ic
d
ef
o
r
m
a
ti
o
n
o
f
m
ater
ia
ls
t
h
at
ac
cu
m
u
late
at
ea
c
h
te
m
p
er
at
u
r
e
c
y
cle
an
d
ca
n
lead
to
cr
ac
k
s
an
d
o
th
er
p
er
m
a
n
en
t
f
ailu
r
es.
Si
m
ilar
l
y
,
in
m
u
ltip
r
o
ce
s
s
o
r
s
y
s
te
m
s
,
a
ce
r
tain
p
r
o
ce
s
s
in
g
ele
m
en
t
m
a
y
r
e
m
ai
n
f
u
n
ctio
n
al
f
o
r
lo
n
g
er
d
u
r
atio
n
co
m
p
ar
ed
to
o
th
er
s
;
s
u
ch
an
ele
m
en
t
ca
r
r
ies
o
u
t
e
x
tr
a
co
m
p
u
ta
tio
n
al
ac
tiv
it
y
a
n
d
co
n
v
er
ts
m
o
r
e
e
n
er
g
y
i
n
to
h
ea
t
f
o
r
its
el
f
a
n
d
it
s
n
eig
h
b
o
u
r
i
n
g
co
m
p
o
n
en
ts
.
T
h
is
lead
s
to
t
h
e
c
r
ea
tio
n
o
f
h
o
t
s
p
o
ts
w
h
ic
h
e
x
p
o
n
en
tial
l
y
s
p
ee
d
u
p
m
an
y
ag
i
n
g
m
ec
h
an
i
s
m
s
s
u
ch
as
elec
tr
o
-
m
i
g
r
atio
n
,
s
tr
ess
m
ig
r
atio
n
,
a
n
d
d
iele
ctr
ic
b
r
ea
k
d
o
w
n
s
,
u
lti
m
atel
y
ca
u
s
i
n
g
p
e
r
m
a
n
e
n
t
d
ev
ice
f
ail
u
r
es [
4
]
.
Ma
n
y
te
m
p
er
at
u
r
e
m
a
n
a
g
e
m
e
n
t
tec
h
n
iq
u
es
h
a
v
e
b
ee
n
p
r
o
p
o
s
ed
in
r
ea
l
-
t
i
m
e
e
m
b
ed
d
ed
s
y
s
te
m
s
to
d
ea
l
w
it
h
th
er
m
al
is
s
u
e
s
b
o
th
at
h
ar
d
w
ar
e
an
d
s
o
f
t
w
ar
e
lev
e
ls
,
b
u
t
s
o
f
t
w
ar
e
b
ased
s
o
lu
tio
n
s
ar
e
ad
v
an
tag
eo
u
s
in
ter
m
s
o
f
co
s
t.
T
h
ese
s
o
f
t
w
ar
e
b
ased
tech
n
iq
u
es
p
er
f
o
r
m
t
h
e
s
c
h
ed
u
li
n
g
d
ec
is
io
n
s
b
ased
o
n
th
eo
r
etica
l
k
n
o
w
led
g
e
b
y
p
la
y
i
n
g
w
it
h
d
if
f
er
en
t
s
y
s
te
m
p
ar
a
m
eter
s
w
i
th
o
u
t
m
i
s
s
i
n
g
t
h
e
d
ea
d
lin
e
s
.
T
h
e
m
o
tiv
atio
n
f
o
r
co
n
d
u
cti
n
g
t
h
is
s
t
u
d
y
is
to
an
al
y
s
e
a
s
p
ec
if
ic
s
o
f
t
w
ar
e
b
ased
m
ec
h
a
n
is
m
f
o
r
th
er
m
al
m
a
n
ag
e
m
e
n
t.
T
h
is
tech
n
iq
u
e
u
s
e
s
f
air
n
e
s
s
o
r
f
air
s
c
h
ed
u
li
n
g
as
a
to
o
l
to
co
u
n
ter
t
h
e
t
h
er
m
al
is
s
u
es
in
e
m
b
ed
d
ed
s
y
s
te
m
s
.
T
h
e
f
air
n
e
s
s
b
a
s
ed
alg
o
r
it
h
m
s
d
is
tr
ib
u
te
t
h
e
w
o
r
k
lo
ad
o
v
er
ti
m
e
i
n
s
tead
o
f
co
n
ce
n
tr
atin
g
t
h
e
s
a
m
e
at
s
o
m
e
p
o
in
t.
T
h
is
t
y
p
e
o
f
ex
ec
u
tio
n
o
f
w
o
r
k
lo
ad
o
v
er
ti
m
e
lo
w
er
s
t
h
e
o
p
er
atin
g
te
m
p
er
atu
r
e,
p
ea
k
te
m
p
er
at
u
r
e,
an
d
th
er
m
al
v
ar
iatio
n
s
at
th
e
s
a
m
e
ti
m
e.
T
o
th
e
b
est
o
f
th
e
au
th
o
r
s
‟
k
n
o
w
led
g
e,
th
er
e
is
n
o
p
u
b
lis
h
ed
w
o
r
k
th
at
u
s
es
f
air
n
e
s
s
b
ased
tech
n
i
q
u
es
to
ad
d
r
ess
th
er
m
al
is
s
u
e
s
in
r
ea
l
-
ti
m
e
e
m
b
ed
d
ed
s
y
s
te
m
s
.
W
h
ile
t
h
e
m
ai
n
g
o
al
w
a
s
to
s
tu
d
y
t
h
e
ef
f
ec
t
o
f
f
air
n
ess
o
n
th
e
t
h
er
m
al
b
eh
a
v
io
u
r
o
f
t
h
e
s
y
s
te
m
,
t
w
o
s
p
ec
if
ic
f
air
n
es
s
b
ased
alg
o
r
ith
m
s
w
er
e
s
e
lecte
d
f
o
r
in
v
e
s
ti
g
atio
n
i.e
.
,
P
Fair
[
7
]
an
d
DP
-
Fair
[
8
]
.
T
h
e
r
est
o
f
th
e
p
ap
er
is
o
r
g
an
ized
as
f
o
llo
w
s
.
I
n
Sectio
n
2
r
elate
d
w
o
r
k
is
b
r
ie
f
l
y
d
is
cu
s
s
ed
.
An
o
v
er
v
ie
w
o
f
f
air
n
es
s
an
d
f
air
n
es
s
b
ased
alg
o
r
ith
m
s
a
r
e
p
r
esen
ted
in
Sectio
n
3
.
Sectio
n
4
d
escr
ib
es
th
e
s
i
m
u
latio
n
m
o
d
el
an
d
r
es
u
lts
ar
e
p
r
esen
ted
an
d
d
is
cu
s
s
ed
in
Sectio
n
5
.
Sectio
n
6
co
n
clu
d
es th
e
ar
ticle.
2
.
RE
L
AT
E
D
WO
RK
T
h
er
m
al
ef
f
ic
ien
c
y
i
n
r
ea
l
-
t
i
m
e
s
y
s
te
m
s
is
a
w
e
ll
-
k
n
o
w
n
p
r
o
b
lem
.
Har
d
w
ar
e,
s
o
f
t
w
ar
e
an
d
h
y
b
r
id
s
o
lu
tio
n
s
h
a
v
e
b
ee
n
p
r
o
p
o
s
ed
in
liter
at
u
r
e
to
ad
d
r
ess
t
h
ese
th
er
m
a
l
is
s
u
es.
So
m
e
h
ar
d
w
ar
e
b
ased
tech
n
iq
u
e
s
ar
e
b
ein
g
co
m
m
er
ciall
y
u
s
ed
to
r
eso
lv
e
s
u
c
h
t
h
er
m
al
i
s
s
u
e
s
.
I
n
tel
's
P
en
ti
u
m
4
u
s
e
s
a
co
o
lin
g
f
a
n
a
n
d
h
ea
t
s
p
r
ea
d
er
to
lo
w
er
t
h
e
c
h
ip
te
m
p
er
at
u
r
e
[
9
]
.
A
n
u
m
b
er
o
f
tech
n
iq
u
es
to
co
n
tr
o
l
th
e
p
ea
k
te
m
p
er
at
u
r
e
an
d
th
er
m
a
l
g
r
ad
ien
t
s
t
h
r
o
u
g
h
h
a
r
d
w
ar
e
an
d
s
o
f
t
w
ar
e
co
o
p
er
a
t
io
n
ar
e
p
r
esen
ted
in
[
1
0
,
1
1
]
.
T
h
ese
tech
n
iq
u
e
s
ac
q
u
ir
e
th
e
te
m
p
er
at
u
r
e
v
al
u
es
u
s
i
n
g
p
h
y
s
ical
s
e
n
s
o
r
s
a
n
d
p
er
f
o
r
m
s
c
h
ed
u
li
n
g
d
ec
is
io
n
s
ac
co
r
d
in
g
l
y
.
So
m
e
p
u
r
el
y
s
ch
ed
u
li
n
g
-
b
as
ed
s
o
lu
tio
n
s
to
av
o
id
th
er
m
al
h
o
ts
p
o
ts
an
d
th
er
m
al
v
ar
i
atio
n
s
ar
e
p
r
esen
ted
in
[
5
,
1
2
]
.
T
h
ese
tech
n
iq
u
es
o
p
ti
m
ize
s
c
h
ed
u
lin
g
b
y
p
la
y
in
g
w
i
th
d
if
f
er
en
t
s
y
s
te
m
p
ar
a
m
eter
s
w
it
h
o
u
t
m
i
s
s
i
n
g
th
e
tar
g
et
d
ea
d
lin
es.
Fo
r
r
ea
l
-
ti
m
e
e
m
b
ed
d
ed
m
u
l
tip
r
o
ce
s
s
o
r
s
y
s
te
m
s
,
M
u
la
s
et
al.
[
1
3
]
p
r
o
p
o
s
ed
a
task
m
i
g
r
atio
n
tech
n
iq
u
e
to
b
alan
ce
th
e
te
m
p
er
atu
r
e.
T
h
is
tech
n
iq
u
e
u
s
es
th
e
co
o
lest
co
r
e
as
d
esti
n
ati
o
n
co
r
e
to
ac
h
iev
e
m
u
c
h
m
o
r
e
b
alan
ce
d
te
m
p
er
atu
r
e
as
co
m
p
ar
ed
to
en
er
g
y
b
ala
n
ci
n
g
tec
h
n
iq
u
e
s
p
r
esen
ted
in
[
1
4
]
.
C
o
s
k
u
n
et.
a
l.
[
1
0
]
p
r
o
p
o
s
ed
a
s
ch
ed
u
li
n
g
tec
h
n
iq
u
e
t
h
at
u
s
e
s
I
n
te
g
er
L
i
n
ea
r
P
r
o
g
r
a
m
m
i
n
g
(
I
L
P
)
f
o
r
r
ea
l
-
ti
m
e
Mu
lti
-
P
r
o
ce
s
s
o
r
S
y
s
te
m
s
-
on
-
C
h
ip
(
MP
So
C
s
)
t
h
at
s
ig
n
i
f
i
ca
n
tl
y
m
i
n
i
m
izes
th
er
m
al
h
o
ts
p
o
ts
an
d
s
p
atial
g
r
ad
ien
ts
as
co
m
p
ar
ed
to
o
n
l
y
h
ea
t
m
i
n
i
m
izatio
n
tec
h
n
iq
u
e.
I
n
t
h
is
tec
h
n
iq
u
e,
ta
s
k
s
ar
e
n
o
t
a
s
s
i
g
n
ed
to
t
h
e
ad
j
ac
en
t
co
r
es
at
th
e
s
am
e
t
i
m
e
an
d
t
h
is
also
m
in
i
m
izes
th
e
d
u
r
atio
n
o
f
t
h
er
m
al
e
m
er
g
en
cie
s
.
I
n
[
1
1
]
,
th
is
tech
n
iq
u
e
is
co
m
b
in
ed
w
i
th
a
co
o
lest
F
u
n
ctio
n
-
L
ev
el
P
r
o
ce
s
s
o
r
(
FL
P
)
tech
n
i
q
u
e,
ca
lled
h
y
b
r
id
tech
n
iq
u
e.
An
o
t
h
er
te
m
p
er
atu
r
e
a
w
ar
e
tas
k
s
ch
ed
u
li
n
g
tec
h
n
iq
u
e
f
o
r
h
ar
d
r
ea
l
-
ti
m
e
ap
p
li
ca
tio
n
s
in
MP
So
C
s
is
p
r
o
p
o
s
ed
b
y
C
h
a
n
te
m
et
al
.
[
1
5
]
th
at
ap
p
ly
Mi
x
ed
-
I
n
teg
er
L
i
n
ea
r
P
r
o
g
r
a
m
m
in
g
(
MI
L
P
)
to
s
ch
ed
u
le
a
n
d
ass
i
g
n
h
ar
d
r
ea
l
-
ti
m
e
tas
k
s
.
T
h
is
tec
h
n
iq
u
e
co
n
s
id
er
s
b
o
th
te
m
p
o
r
al
an
d
s
p
atial
te
m
p
er
at
u
r
e
v
ar
iatio
n
s
an
d
r
ed
u
ce
s
th
e
te
m
p
er
at
u
r
e
b
y
8
.
7
5
º
C
o
n
av
er
ag
e.
Ho
w
ev
er
,
t
h
is
tec
h
n
iq
u
e
h
a
s
a
li
m
itat
io
n
th
at
it
is
n
o
t
s
ca
lab
le
w
it
h
th
e
g
r
o
w
i
n
g
s
ize
o
f
t
h
e
p
r
o
b
lem
.
Z
h
ao
et
al.
[
1
6
]
p
r
o
p
o
s
ed
a
t
h
r
ea
d
m
i
g
r
atio
n
tec
h
n
iq
u
e
to
r
ed
u
ce
p
ea
k
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
9
-
4
864
I
J
R
E
S
V
o
l.
7
,
No
.
1
,
Ma
r
et
2
0
1
8
:
4
8
–
56
50
te
m
p
er
atu
r
e
a
n
d
t
h
er
m
al
v
ar
i
an
ce
i
n
3
D
m
u
lti
-
co
r
e
p
r
o
ce
s
s
o
r
an
d
s
tac
k
e
d
D
R
A
M.
T
h
is
tech
n
iq
u
e
r
ed
u
ce
s
p
ea
k
te
m
p
er
atu
r
e
o
f
p
r
o
ce
s
s
o
r
,
o
n
av
er
ag
e,
b
y
4
.
7
º
C
an
d
th
er
m
al
v
ar
iaio
n
b
y
4
.
4
8
º
C
.
C
er
tain
D
y
n
a
m
ic
P
o
w
er
Ma
n
a
g
e
m
e
n
t
(
DP
M)
an
d
D
y
n
a
m
ic
Vo
ltag
e
a
n
d
Fre
q
u
e
n
c
y
Scalin
g
(
DV
FS
)
tech
n
iq
u
es
to
co
n
tr
o
l
th
e
te
m
p
er
atu
r
e
h
a
v
e
b
ee
n
p
r
o
p
o
s
ed
b
y
v
ar
io
u
s
r
esear
c
h
er
s
.
A
DVF
S
b
ased
te
m
p
er
atu
r
e
co
n
tr
o
l
m
eth
o
d
th
at
p
r
ed
icts
th
e
lo
ca
l
te
m
p
er
atu
r
e
o
f
c
h
ip
an
d
p
er
f
o
r
m
s
th
e
v
o
lta
g
e
o
r
f
r
eq
u
en
c
y
s
ca
li
n
g
ac
co
r
d
in
g
l
y
w
a
s
p
r
o
p
o
s
ed
b
y
L
ee
et
al.
[
1
7
]
.
B
aa
ti
an
d
Mic
h
el
[
1
8
]
p
r
o
p
o
s
ed
a
DVFS
-
DP
M
b
ased
te
m
p
er
atu
r
e
a
w
ar
e
tec
h
n
iq
u
e
to
ad
d
r
ess
th
e
t
h
er
m
a
l
p
r
o
b
lem
s
,
u
s
in
g
s
o
m
e
h
eu
r
i
s
tic
s
.
T
h
is
s
t
u
d
y
e
x
p
lo
r
es
th
e
ab
ilit
y
o
f
f
a
ir
n
es
s
b
ased
tech
n
iq
u
es to
alle
v
iate
t
h
er
m
al
i
s
s
u
es i
n
r
ea
l
-
ti
m
e
e
m
b
ed
d
ed
s
y
s
te
m
s
.
3.
I
NT
RO
D
UCT
I
O
N
T
O
F
AI
RNES
S
T
h
e
co
n
ce
p
t
o
f
f
a
ir
n
es
s
i
s
c
lo
s
el
y
r
elate
d
to
t
h
at
o
f
f
lu
i
d
s
ch
ed
u
le
w
h
er
e
a
tas
k
co
m
p
letes
its
ex
ec
u
t
io
n
ti
m
e
w
i
th
u
n
i
f
o
r
m
r
ate
in
its
d
ea
d
lin
e.
A
tas
k
T
i
at
an
y
ti
m
e
t
ex
ec
u
tes
e
x
ac
tl
y
f
o
r
ti
m
e
u
n
its
,
w
h
er
e
is
u
til
izatio
n
f
ac
to
r
o
f
tas
k
.
Ho
w
e
v
er
,
1
0
0
%
f
lu
id
s
ch
ed
u
li
n
g
is
n
o
t
p
o
s
s
ib
le
b
ec
au
s
e
a
p
r
o
ce
s
s
o
r
r
u
n
s
eit
h
er
at
f
u
ll
ca
p
ac
it
y
o
r
ze
r
o
.
Mo
r
eo
v
er
,
a
p
r
o
ce
s
s
o
r
ca
n
n
o
t
e
x
ec
u
te
m
u
ltip
le
ta
s
k
s
at
an
y
g
i
v
en
ti
m
e.
Hen
ce
,
f
air
n
es
s
is
u
s
ed
to
ac
h
iev
e
m
a
x
i
m
u
m
p
o
s
s
ib
le
b
eh
av
io
u
r
o
f
th
e
f
lu
id
s
c
h
ed
u
le.
Fai
r
n
ess
i
s
p
r
ac
ticall
y
ac
h
iev
ed
b
y
co
n
tr
o
llin
g
t
h
e
t
ask
e
x
ec
u
t
io
n
a
n
d
r
estrictin
g
its
d
ev
iatio
n
f
r
o
m
th
e
f
l
u
id
(
id
ea
l)
b
eh
av
io
u
r
.
T
h
e
d
ev
iatio
n
o
r
d
if
f
er
e
n
ce
b
et
w
ee
n
id
ea
l
a
n
d
p
r
ac
tical
ex
ec
u
tio
n
o
f
ea
ch
ta
s
k
is
m
ea
s
u
r
ed
w
it
h
t
h
e
h
elp
o
f
a
lag
f
u
n
ctio
n
.
T
h
e
lag
f
o
r
a
tas
k
T
i
at
tim
e
t i
s
d
ef
i
n
ed
as:
∑
(
1
)
W
h
er
e
r
ep
r
esen
ts
t
h
e
to
tal
e
x
ec
u
ted
ti
m
e
o
f
tas
k
at
t
i
m
e
in
a
n
id
ea
l
s
y
s
te
m
.
is
t
h
e
r
ea
l
s
ch
ed
u
le
f
u
n
ct
io
n
,
=
1
m
ea
n
s
th
at
task
is
s
c
h
ed
u
led
in
th
e
s
lo
t
l
w
h
ile,
=
0
s
h
o
w
s
t
h
at
ta
s
k
is
n
o
t sch
ed
u
led
o
v
er
th
e
s
lo
t.
T
h
e
co
n
ce
p
t
o
f
f
air
n
es
s
i
s
il
lu
s
tr
ated
in
Fi
g
u
r
e
1
w
h
er
e
a
tas
k
,
w
it
h
u
t
ilizatio
n
f
ac
to
r
0
.
5
an
d
d
ea
d
lin
e
1
0
,
is
s
ch
ed
u
led
o
n
a
s
in
g
le
p
r
o
c
ess
o
r
f
ir
s
t
w
it
h
th
e
h
elp
o
f
E
DF
(
E
ar
lies
t
Dea
d
lin
e
First)
s
c
h
ed
u
li
n
g
an
d
t
h
en
w
it
h
f
air
n
es
s
b
ased
s
ch
ed
u
li
n
g
al
g
o
r
ith
m
.
W
h
en
E
DF
i
s
u
s
ed
,
t
h
e
tas
k
i
s
co
m
p
le
ted
in
th
e
f
ir
s
t
f
i
v
e
s
lo
ts
o
f
t
h
e
s
ch
ed
u
li
n
g
d
u
r
atio
n
.
On
o
t
h
er
h
a
n
d
,
th
e
f
air
n
es
s
b
ased
alg
o
r
ith
m
s
c
h
ed
u
le
s
t
h
e
task
p
r
o
p
o
r
tio
n
al
to
its
u
tili
za
tio
n
f
ac
to
r
o
r
clo
s
e
to
th
e
f
l
u
id
s
c
h
ed
u
le.
Fo
r
e
x
a
m
p
le,
w
h
e
n
t
=
8
,
it
e
x
ec
u
t
es
4
u
n
its
w
h
ic
h
i
t
w
o
u
ld
h
a
v
e
co
n
s
u
m
ed
in
ca
s
e
o
f
f
l
u
id
s
c
h
ed
u
le.
Ho
w
e
v
er
,
f
air
n
e
s
s
is
ac
h
ie
v
ed
at
t
h
e
co
s
t
o
f
s
o
m
e
e
x
tr
a
p
r
ee
m
p
ti
o
n
s
as
s
h
o
w
n
in
Fig
u
r
e
1
.
Fig
u
r
e
1
.
E
DF a
n
d
Fair
n
e
s
s
b
ased
s
ch
ed
u
lin
g
Dif
f
er
en
t
al
g
o
r
ith
m
s
b
ased
o
n
f
air
n
es
s
u
s
e
d
if
f
er
en
t
v
al
u
e
o
f
lag
.
Fo
r
ex
a
m
p
le,
P
Fair
an
d
DP
-
Fair
,
t
w
o
f
air
n
e
s
s
b
ased
o
p
ti
m
al
al
g
o
r
ith
m
s
f
o
r
m
u
ltip
r
o
ce
s
s
o
r
s
y
s
te
m
s
,
r
eq
u
ir
e
d
i
f
f
er
e
n
t
a
m
o
u
n
t
o
f
f
a
ir
n
es
s
b
y
ask
i
n
g
f
o
r
d
if
f
er
en
t
v
al
u
e
o
f
l
ag
f
u
n
ctio
n
at
d
i
f
f
er
en
t
ti
m
e.
T
h
ese
t
w
o
w
er
e
ch
o
s
e
n
f
o
r
co
m
p
ar
i
s
o
n
w
i
th
E
D
F
in
th
is
i
n
v
e
s
ti
g
atio
n
,
a
n
d
ar
e
b
r
ief
l
y
d
escr
ib
ed
b
elo
w
.
P
r
o
p
o
r
tio
n
al
-
Fair
(
P
Fair
)
w
a
s
p
r
o
p
o
s
ed
b
y
B
ar
u
a
h
et
al.
[
7
]
in
1
9
9
6
.
I
t
r
estricts
th
e
v
a
lu
e
o
f
lag
f
u
n
ctio
n
,
d
ef
in
ed
i
n
(
1
)
,
to
b
e
less
th
a
n
o
r
eq
u
al
to
o
n
e
f
o
r
al
l
v
alu
e
o
f
ti
m
e
an
d
f
o
r
ea
ch
task
.
P
Fair
p
er
f
o
r
m
s
th
e
s
c
h
ed
u
lin
g
o
f
ta
s
k
s
o
n
th
e
p
r
o
ce
s
s
o
r
s
s
u
c
h
t
h
at
at
an
y
g
iv
en
ti
m
e
t,
t
h
e
ac
c
u
m
u
lated
t
i
m
e
allo
ca
ted
to
a
task
w
it
h
u
tili
za
tio
n
f
ac
to
r
is
eit
h
er
⌈
⌉
o
r
⌊
⌋
.
I
n
o
t
h
er
w
o
r
d
s
,
in
P
Fair
a
ta
s
k
m
a
y
n
o
t
b
e
m
o
r
e
t
h
a
n
a
q
u
an
t
u
m
le
n
g
t
h
a
w
a
y
f
r
o
m
its
id
ea
l e
x
ec
u
t
io
n
i
n
th
e
f
l
u
id
s
y
s
te
m
at
an
y
ti
m
e.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
J
R
E
S
I
SS
N:
2089
-
4864
Th
erma
l A
n
a
lysi
s
o
f F
a
ir
S
ch
ed
u
lin
g
in
R
ea
l
-
time
E
mb
ed
d
ed
S
ystems
(
Ta
yy
a
b
a
B
o
k
h
a
r
i
)
51
Dea
d
lin
e
P
ar
titi
o
n
ed
Fair
(
D
P
-
Fair
)
[
8
]
co
m
b
i
n
es
t
h
e
n
o
ti
o
n
o
f
f
l
u
id
s
c
h
ed
u
li
n
g
w
it
h
t
h
e
o
n
e
o
f
d
ea
d
lin
e
p
ar
titi
o
n
i
n
g
to
s
till
g
u
ar
a
n
tee
o
p
ti
m
a
lit
y
w
h
ile
l
o
w
er
in
g
t
h
e
p
r
ee
m
p
tio
n
s
t
h
a
n
P
Fair
.
I
t
r
elax
es
th
e
r
eq
u
ir
e
m
e
n
t
o
f
lag
w
h
ile
s
till
en
s
u
r
i
n
g
th
e
o
p
ti
m
alit
y
.
I
n
DP
-
Fair
,
th
e
v
a
lu
e
o
f
lag
s
h
o
u
ld
b
e
less
t
h
an
o
r
eq
u
al
to
1
o
n
l
y
at
th
e
ti
m
e
o
f
a
r
r
iv
al
o
f
tas
k
s
i
n
t
h
e
s
y
s
te
m
.
4.
SI
M
UL
AT
I
O
N
M
O
DE
L
T
o
ev
alu
ate
t
h
e
p
o
ten
tial
o
f
s
c
h
ed
u
li
n
g
al
g
o
r
ith
m
s
,
a
s
i
m
u
la
t
io
n
m
o
d
el
w
as
d
esi
g
n
ed
w
ith
i
n
w
h
ic
h
a
s
tatis
t
ical
ap
p
r
o
ac
h
w
as
u
s
ed
,
b
y
test
in
g
t
h
e
m
o
v
er
a
s
ig
n
i
f
ic
an
t
n
u
m
b
er
o
f
tas
k
s
ets.
T
h
e
s
i
m
u
latio
n
m
o
d
el
is
s
h
o
w
n
in
F
ig
u
r
e
2
.
Fig
u
r
e
2
.
Si
m
u
latio
n
Mo
d
el
T
h
e
m
o
d
el
co
n
s
i
s
ts
o
f
a
ta
s
k
g
e
n
er
ato
r
,
a
s
ch
ed
u
li
n
g
s
i
m
u
lato
r
Si
m
u
latio
n
T
Oo
l
f
o
r
R
ea
l
-
t
i
m
e
Mu
lti
-
p
r
o
ce
s
s
o
r
s
c
h
ed
u
li
n
g
(
ST
OR
M)
[
1
9
]
an
d
a
te
m
p
er
atu
r
e
m
o
d
elli
n
g
s
i
m
u
lato
r
An
al
y
tical
m
o
d
el
o
f
T
em
p
er
atu
r
e
in
M
icr
o
p
r
o
ce
s
s
o
r
s
(
A
T
MI
)
[
2
0
]
.
T
h
e
task
s
ets
ar
e
p
r
o
d
u
ce
d
r
an
d
o
m
l
y
u
s
i
n
g
th
e
ta
s
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R
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Stan
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m
[
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is
th
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o
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a,
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h
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task
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g
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ta
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es
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h
r
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p
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:
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ltip
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D
i
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ac
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h
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= C
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to
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to
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l
ST
OR
M
in
th
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f
o
r
m
o
f
XM
L
f
iles
.
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XM
L
f
il
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g
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al
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f
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m
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s
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li
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o
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it
h
m
an
d
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ar
d
w
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m
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s
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ST
OR
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li
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g
p
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lic
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g
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s
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tat
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o
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ch
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ch
ed
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li
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ev
en
t,
t
h
at
ar
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s
to
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ed
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tex
t f
i
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es.
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h
e
p
o
w
er
p
r
o
f
ile
in
th
e
f
o
r
m
o
f
t
ex
t
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ar
e
u
s
ed
w
it
h
ch
ip
p
ar
a
m
eter
s
in
t
h
e
th
e
r
m
al
to
o
l
A
T
MI
to
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en
er
ate
es
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ated
th
er
m
al
p
r
o
f
ile
o
f
ea
ch
co
r
e
in
t
h
e
ar
ch
i
tectu
r
e.
A
ll
th
er
m
al
p
r
o
f
iles
g
en
er
ated
b
y
A
T
MI
ar
e
r
elativ
e
to
a
m
b
ie
n
t
te
m
p
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r
e.
A
T
MI
w
as
u
s
ed
f
o
r
a
t
w
o
la
y
er
m
o
d
el
o
f
t
h
e
ch
ip
MP
C
5
5
1
7
E
(
f
r
o
m
Fre
escale
I
n
c)
.
T
h
e
AT
MI
m
o
d
el
o
f
p
h
y
s
ical
ar
ch
itectu
r
e
is
g
i
v
en
in
Fig
u
r
e
3
.
A
T
MI
ca
lcu
lates
th
e
d
y
n
a
m
ic
p
r
o
g
r
ess
io
n
o
f
t
h
e
te
m
p
er
atu
r
e
at
la
y
er
1
.
T
h
e
c
h
ip
la
y
o
u
t
u
s
ed
a
n
d
its
th
er
m
a
l c
h
ar
ac
ter
is
tic
s
ar
e
th
o
s
e
t
h
at
ar
e
p
r
esen
ted
in
[
1
8
]
.
T
h
ese
ch
ip
p
ar
a
m
eter
s
ar
e
g
iv
en
i
n
T
ab
le
1
.
Fig
u
r
e
3
.
Mo
d
el
o
f
ch
ip
u
n
d
er
A
T
MI
[
2
2
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d
A
T
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w
er
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u
s
ed
s
u
c
h
t
h
at
ST
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r
ea
d
s
p
o
w
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s
tate
s
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r
e
s
at
ea
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h
s
ch
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u
lin
g
ev
e
n
t
d
ef
i
n
ed
b
y
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OR
M
w
h
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A
T
MI
p
r
o
v
id
es
an
esti
m
ate
o
f
te
m
p
er
at
u
r
e
f
o
r
ea
ch
co
r
e
in
th
e
ar
ch
itect
u
r
e.
C
o
n
s
eq
u
e
n
tl
y
,
t
h
is
co
-
s
i
m
u
latio
n
en
v
ir
o
n
m
en
t
g
av
e
b
o
t
h
t
h
e
d
y
n
a
m
ic
ac
tiv
it
y
at
ea
c
h
co
r
e
(
ST
OR
M)
an
d
th
e
d
y
n
a
m
ic
e
v
o
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tio
n
o
f
co
r
e‟
s
te
m
p
er
at
u
r
e
(
A
T
MI
)
.
5.
RE
SU
L
T
S
T
h
e
r
esu
lts
o
f
s
i
m
u
latio
n
p
r
o
ce
s
s
ar
e
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r
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ted
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ascer
tain
th
e
e
f
f
icie
n
c
y
o
f
f
air
n
es
s
b
ased
tech
n
iq
u
es.
T
h
e
s
i
m
u
la
tio
n
s
w
er
e
p
er
f
o
r
m
ed
u
s
in
g
a
lar
g
e
d
ata
s
et
w
i
th
v
ar
iab
le
to
tal
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tili
za
t
io
n
f
ac
to
r
U,
w
h
ile
co
n
s
id
er
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g
ar
ch
i
tectu
r
es
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m
p
r
is
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o
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s
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n
g
le
c
o
r
e,
2
-
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r
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d
4
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co
r
es.
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n
e
s
s
b
ased
P
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an
d
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Fair
ar
e
f
ir
s
t
co
m
p
ar
ed
w
it
h
E
D
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le
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r
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s
s
o
r
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lt
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Fair
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n
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air
ar
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r
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r
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r
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s
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e
s
e
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ith
m
s
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also
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f
o
r
s
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s
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r
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e
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DF
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k
n
o
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n
f
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p
ti
m
al
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er
f
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f
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le
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s
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r
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v
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e
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en
t
an
d
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p
ar
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t
h
e
co
n
te
x
t
o
f
te
m
p
er
atu
r
e
w
as
w
e
ll
d
eser
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e
d
.
.
I
n
th
e
p
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s
h
o
w
n
a
h
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d
,
th
e
x
-
a
x
is
r
ep
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t
s
ti
m
e
u
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its
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m
illi
s
ec
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n
d
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a
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is
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ep
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n
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e
g
r
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n
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ig
r
ad
e.
T
h
e
th
er
m
al
p
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f
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g
e
ts
s
tab
le
af
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in
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lects
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s
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ased
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e
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o
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ac
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.
a)
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g
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P
ro
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s
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r:
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p
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F
ig
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r
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Fig
u
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4
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Sin
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h
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m
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[1
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lax
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.
Ba
ru
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tel
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n
d
K.
W
h
isn
a
n
t,
“
T
e
m
p
e
r
a
tu
re
a
w
a
r
e
tas
k
sc
h
e
d
u
li
n
g
in
M
P
S
o
Cs,”
i
n
P
ro
c
.
De
sig
n
,
A
u
to
m
a
ti
o
n
a
n
d
T
e
st i
n
E
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ro
p
e
C
o
n
f
e
re
n
c
e
a
n
d
Ex
h
ib
it
io
n
(DA
T
E
‟0
7
),
p
p
.
1
-
6
,
2
0
0
7
.
[1
1
]
A
.
K.
Co
sk
u
n
,
T
.
S
.
Ro
sin
g
,
K.
W
h
isn
a
n
t
a
n
d
K.
C.
G
ro
ss
,
“
Te
m
p
e
ra
tu
re
-
a
w
a
r
e
M
P
S
o
C
sc
h
e
d
u
li
n
g
f
o
r
re
d
u
c
in
g
h
o
t
sp
o
ts
a
n
d
g
ra
d
ien
ts,
”
i
n
P
r
o
c
.
A
sia
a
n
d
S
o
u
t
h
P
a
c
if
ic
De
s
ig
n
A
u
to
m
a
ti
o
n
Co
n
f
e
re
n
c
e
(A
S
P
-
DA
C
„0
8
),
p
p
.
4
9
-
5
4
,
2
0
0
8
.
[1
2
]
R.
Ja
y
a
se
e
lan
a
n
d
T
.
M
it
ra
,
“
T
e
m
p
e
ra
tu
re
a
wa
re
sc
h
e
d
u
li
n
g
f
o
r
e
m
b
e
d
d
e
d
p
ro
c
e
ss
o
rs,”
in
P
ro
c
.
2
2
n
d
I
n
tern
a
ti
o
n
a
l
Co
n
f
e
re
n
c
e
o
n
V
L
S
I
De
sig
n
,
p
p
.
5
4
1
-
5
4
6
,
2
0
0
9
.
[1
3
]
F
.
M
u
las
,
M
.
P
it
ta
u
,
M
.
B
u
tt
u
,
S
.
Ca
rta,
A
.
A
c
q
u
a
v
iv
a
,
L
.
Be
n
in
i
,
D.
A
ti
e
n
z
a
a
n
d
G
.
D.
M
i
c
h
e
le,
“
T
h
e
r
m
a
l
b
a
lan
c
in
g
p
o
li
c
y
f
o
r
stre
a
m
in
g
c
o
m
p
u
ti
n
g
o
n
m
u
lt
ip
ro
c
e
ss
o
r
a
rc
h
it
e
c
tu
re
s,”
in
P
r
o
c
.
De
sig
n
,
A
u
to
m
a
ti
o
n
a
n
d
T
e
st
in
Eu
ro
p
e
Co
n
f
e
re
n
c
e
a
n
d
Ex
h
ib
it
io
n
(DA
T
E
‟0
8
),
p
p
.
7
3
4
-
7
3
9
,
2
0
0
8
.
[1
4
]
A
.
M
e
rk
e
l,
F
.
Be
ll
o
sa
a
n
d
A
.
W
e
iss
e
l,
“
Ev
e
n
t
-
d
riv
e
n
t
h
e
rm
a
l
m
a
n
a
g
e
m
e
n
t
in
S
M
P
sy
ste
m
s,”i
n
P
r
o
c
.
S
e
c
o
n
d
W
o
rk
sh
o
p
o
n
T
e
m
p
e
ra
tu
re
–
Aw
a
r
e
Co
m
p
u
ter S
y
ste
m
s (T
ACS
'
0
5
)
,
2
0
0
5
.
[1
5
]
T
.
Ch
a
n
te
m
,
R.
P
.
Dic
k
a
n
d
,
X
.
S
.
Hu
,
“
T
e
m
p
e
ra
tu
re
-
a
wa
re
sc
h
e
d
u
li
n
g
a
n
d
a
ss
ig
n
m
e
n
t
f
o
r
h
a
rd
re
a
l
-
ti
m
e
a
p
p
li
c
a
ti
o
n
s
o
n
M
P
S
o
Cs,”
in
P
r
o
c
.
De
sig
n
,
A
u
to
m
a
ti
o
n
a
n
d
T
e
st
in
Eu
r
o
p
e
Co
n
f
e
re
n
c
e
a
n
d
Ex
h
ib
it
io
n
(DA
T
E
‟0
8
),
p
p
.
2
8
8
-
2
9
3
,
2
0
0
8
.
[1
6
]
Da
li
Zh
a
o
,
H.
Ho
m
a
y
o
u
n
a
n
d
A
.
V
.
V
e
id
e
n
b
a
u
m
,
“
T
e
m
p
e
ra
tu
re
a
w
a
re
th
re
a
d
m
i
g
ra
ti
o
n
in
3
D
a
rc
h
it
e
c
tu
re
w
it
h
sta
c
k
e
d
D
R
A
M
,
”
In
tern
a
ti
o
n
a
l
S
y
m
p
o
siu
m
o
n
Qu
a
li
ty
El
e
c
tro
n
ic
De
sig
n
(IS
QED),
S
a
n
ta
Clara
,
C
A
,
2
0
1
3
,
p
p
.
8
0
-
8
7
.
[1
7
]
W
.
C.
Jo
n
g
S
u
n
g
L
e
e
a
n
d
Ke
v
in
S
k
a
d
ro
n
,
“
P
re
d
ictiv
e
tem
p
e
ra
tu
r
e
-
a
w
a
re
d
v
fs,”
IEE
E
T
r
a
n
s.
Co
m
p
u
ters
,
p
p
1
2
7
-
1
3
3
,
2
0
1
0
.
[1
8
]
K.
Ba
a
ti
a
n
d
M
.
A
u
g
u
in
,
"
T
e
m
p
e
ra
tu
re
-
a
w
a
r
e
DV
F
S
-
DPM
f
o
r
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a
l
-
ti
m
e
a
p
p
li
c
a
ti
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n
s
u
n
d
e
r
v
a
riab
le
a
m
b
ien
t
tem
p
e
r
a
tu
re
,
"
In
d
u
strial
Em
b
e
d
d
e
d
S
y
ste
m
s
(S
IES
),
8
t
h
IEE
E
I
n
t
e
rn
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ti
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n
a
l
S
y
m
p
o
siu
m
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o
l.
1
3
,
n
o
.
2
0
,
p
p
.
1
9
-
2
1
,
Ju
n
e
2
0
1
3
.
[1
9
]
R.
Uru
n
u
e
la,
A
.
M
.
De
p
lan
c
h
e
a
n
d
Y.
T
rin
q
u
e
t
,
“
S
to
rm
-
a
si
m
u
latio
n
to
o
l
f
o
r
re
a
l
-
ti
m
e
m
u
lt
ip
ro
c
e
ss
o
r
sc
h
e
d
u
li
n
g
e
v
a
lu
a
ti
o
n
,
”
in
P
r
o
c
.
IEE
E
In
ter
n
a
ti
o
n
a
l
Co
n
f
e
re
n
c
e
o
n
Em
e
rg
in
g
T
e
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h
n
o
lo
g
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n
d
F
a
c
to
ry
A
u
to
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ti
o
n
,
ET
F
A
,
Bil
b
a
o
,
p
p
.
1
-
8
,
2
0
1
0
.
[2
0
]
P
.
M
ich
a
u
d
a
n
d
Y.
S
a
z
e
id
e
s,
“
A
TM
I:
a
n
a
ly
ti
c
a
l
m
o
d
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f
tem
p
e
r
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tu
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in
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ro
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ro
c
e
ss
o
rs”
,
p
p
.
1
2
-
2
1
,
2
0
0
8
.
[21]
R.
S
taf
f
o
rd
.
Ra
n
d
o
m
v
e
c
to
rs
w
it
h
f
ix
e
d
su
m
.
[
On
li
n
e
]
A
v
a
il
a
b
le
h
tt
p
:
//
ww
w
.
m
a
th
w
o
rk
s.co
m
/
m
a
tl
a
b
c
e
n
tral/f
il
e
e
x
c
h
a
n
g
e
/9
7
0
0
,
2
0
0
6
.
9
8
,
1
9
8
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
9
-
4
864
I
J
R
E
S
V
o
l.
7
,
No
.
1
,
Ma
r
et
2
0
1
8
:
4
8
–
56
56
B
I
O
G
RAP
H
I
E
S
O
F
AUTH
O
RS
T
a
y
y
a
b
a
Bo
k
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in
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tri
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COMS
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stit
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In
f
o
rm
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(CII
T
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k
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8
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lt
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re
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t
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p
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u
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m
s,
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sm
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rt
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.
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tern
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tele
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se
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T
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c
h
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a
h
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2
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is
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Da
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se
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