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to
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n
iq
u
e,
co
n
s
tr
ain
t
a
n
d
en
v
ir
o
n
m
en
t.
T
h
ese
p
ap
er
s
f
o
cu
s
o
n
s
o
l
v
i
n
g
v
ar
i
o
u
s
Qo
S
p
r
o
b
lem
s
s
u
c
h
as
s
y
s
te
m
p
er
f
o
r
m
a
n
ce
,
R
eliab
ilit
y
(
R
)
,
E
n
er
g
y
co
n
s
u
m
p
tio
n
(
E
)
,
T
im
e
/
d
ea
d
lin
e
(
T
)
an
d
co
s
t
(
C
)
.
So
m
e
o
f
t
h
e
p
ap
er
s
p
r
o
p
o
s
ed
alg
o
r
ith
m
u
s
i
n
g
m
eta
h
eu
r
i
s
tic
tech
n
iq
u
es
w
it
h
m
u
l
ti
-
o
b
j
ec
tiv
e
co
n
s
tr
ai
n
ts
s
u
c
h
as
g
e
n
etic
al
g
o
r
ith
m
.
Ho
w
e
v
e
r
,
f
o
r
th
i
s
r
esear
c
h
,
w
e
o
n
l
y
f
o
cu
s
ed
o
n
t
w
o
co
n
s
tr
ain
ts
;
ti
m
e
(
m
ak
e
s
p
an
)
a
n
d
r
eliab
ilit
y
.
O
u
r
p
r
o
p
o
s
ed
alg
o
r
ith
m
u
s
e
s
h
eu
r
i
s
tic
s
ch
ed
u
li
n
g
alg
o
r
ith
m
s
s
in
ce
it
r
es
u
lted
p
o
s
itiv
el
y
i
n
s
o
lv
in
g
th
e
s
c
h
ed
u
lin
g
p
r
o
b
le
m
w
i
th
less
m
at
h
e
m
atica
l
f
o
r
m
u
latio
n
.
B
ased
o
n
t
h
e
co
m
p
ar
ati
v
e
s
tu
d
y
,
o
u
r
p
r
o
p
o
s
ed
alg
o
r
ith
m
d
i
f
f
er
s
f
r
o
m
e
x
i
s
tin
g
tec
h
n
iq
u
es
s
u
c
h
a
s
Hete
r
o
g
en
eo
u
s
E
ar
lies
t
Fin
i
s
h
T
i
m
e
(
HE
FT
)
,
Mo
d
if
ied
C
r
itical
P
ath
(
M
C
P
)
an
d
E
ar
ly
Fi
n
is
h
T
i
m
e
(
E
F
T
)
.
B
ased
o
n
th
e
s
i
m
u
lat
io
n
r
esu
lt,
o
u
r
p
r
o
p
o
s
e
d
alg
o
r
ith
m
r
es
u
lted
p
o
s
itiv
e
l
y
a
s
co
m
p
ar
ed
o
th
er
s
.
Au
to
m
o
b
ile
a
n
d
ae
r
o
n
au
tic
s
a
r
e
ex
a
m
p
les
o
f
ad
v
a
n
ce
d
in
d
u
s
tr
ies
w
h
ich
co
m
p
r
is
es
o
f
lar
g
e
co
m
p
le
x
p
r
o
ce
s
s
es
w
it
h
hi
g
h
u
n
ce
r
tain
t
y
.
T
h
ese
lar
g
e
p
r
o
ce
s
s
es
h
av
e
p
r
o
b
lem
s
th
at
r
eq
u
ir
es
m
u
l
ti
-
o
b
j
ec
tiv
e
s
o
lu
tio
n
s
to
s
o
lv
e
[
5
]
.
Hw
a
n
g
et
al
(
2
0
0
3
)
[
6
]
d
iv
id
ed
w
o
r
k
f
lo
w
f
ail
u
r
e
h
an
d
li
n
g
tech
n
iq
u
e
s
in
to
t
w
o
d
if
f
er
en
t
le
v
els,
n
a
m
e
l
y
tas
k
-
le
v
el
a
n
d
w
o
r
k
f
lo
w
-
le
v
el.
U
n
f
o
r
tu
n
a
tel
y
,
a
s
it
w
as
p
r
o
v
en
in
m
an
y
r
e
s
e
ar
ch
,
w
h
e
n
s
y
s
te
m
r
eliab
ilit
y
i
n
cr
ea
s
e
s
,
m
o
s
t
o
f
t
h
e
ti
m
e,
t
h
e
e
x
ec
u
tio
n
ti
m
e
will
also
i
n
cr
ea
s
e.
T
h
is
i
s
b
ec
a
u
s
e
a
f
a
s
t
s
c
h
ed
u
l
e
ca
n
s
o
m
e
ti
m
es b
e
v
er
y
u
n
r
elia
b
le.
Ma
n
y
m
et
h
o
d
s
h
a
v
e
b
ee
n
p
r
o
p
o
s
ed
to
d
ea
l
w
it
h
f
au
lt
s
.
On
e
o
f
th
e
alter
n
ati
v
es
is
to
h
av
e
b
ac
k
u
p
s
an
d
d
u
p
licatio
n
s
.
I
f
le
t
s
a
y
o
n
e
o
f
t
h
e
r
eso
u
r
ce
s
f
ail,
th
e
o
th
er
r
eso
u
r
ce
s
w
i
ll
c
o
n
tin
u
e
to
o
p
er
ate.
Ho
w
e
v
er
,
t
h
e
m
aj
o
r
d
r
aw
b
a
ck
o
f
t
h
is
m
eth
o
d
i
s
a
p
o
s
s
ib
le
w
a
s
te
o
f
r
eso
u
r
ce
s
.
As
a
n
alter
n
ati
v
e,
th
e
s
c
h
ed
u
li
n
g
m
ec
h
an
is
m
i
s
in
tr
o
d
u
ce
d
.
I
n
ca
s
e
o
f
r
es
o
u
r
ce
f
ail
u
r
e,
th
e
s
ch
ed
u
ler
w
il
l
d
ec
id
e
w
h
ich
r
eso
u
r
ce
s
w
ill
s
tar
t
a
n
d
s
to
p
th
e
task
.
T
h
er
ef
o
r
e,
t
h
e
p
r
o
p
er
u
s
e
o
f
t
h
e
s
c
h
ed
u
lin
g
al
g
o
r
ith
m
w
i
ll
m
in
i
m
ize
t
h
e
p
r
o
b
a
b
ilit
y
o
f
s
y
s
te
m
f
ail
u
r
e
a
n
d
i
m
p
r
o
v
e
t
h
e
s
y
s
te
m
r
esp
o
n
s
e.
S
ch
e
d
u
lin
g
p
r
o
ce
s
s
m
a
y
le
ad
to
re
ass
ig
n
i
n
g
o
f
task
s
to
r
eso
u
r
ce
s
w
h
ic
h
co
u
ld
cr
ea
te
an
in
f
ea
s
ib
le
s
ch
ed
u
le
.
T
h
e
m
o
r
e
n
u
m
b
er
o
f
d
ata
th
e
m
o
r
e
co
m
p
le
x
an
d
d
if
f
ic
u
lt
to
s
ch
ed
u
le.
T
h
er
ef
o
r
e,
it
is
i
m
p
o
r
tan
t
to
re
-
a
s
s
i
g
n
th
e
ta
s
k
s
u
s
i
n
g
m
i
n
i
m
u
m
n
u
m
b
er
o
f
r
eso
u
r
ce
s
[7
]
-
[
9
]
.
Un
f
o
r
tu
n
atel
y
,
a
s
it
w
a
s
p
r
o
v
en
i
n
m
a
n
y
r
esear
ch
,
w
h
e
n
t
h
e
r
eliab
il
it
y
i
n
cr
ea
s
e
s
,
m
o
s
t
o
f
t
h
e
t
i
m
e,
th
e
ex
ec
u
tio
n
ti
m
e
w
ill
al
s
o
in
cr
ea
s
e.
T
h
is
is
b
ec
au
s
e
a
f
ast
s
c
h
ed
u
le
is
ca
n
s
o
m
et
i
m
es
b
e
u
n
r
eliab
le.
T
h
er
ef
o
r
e,
th
er
e
is
a
n
ee
d
to
d
esig
n
an
al
g
o
r
ith
m
t
h
at
lo
o
k
f
o
r
a
s
et
o
f
tr
ad
e
-
o
f
f
s
.
T
h
e
o
b
j
ec
tiv
es
ar
e
to
m
i
n
i
m
ize
th
e
m
a
k
esp
an
a
n
d
to
m
ax
i
m
ize
t
h
e
r
eliab
ilit
y
o
f
t
h
e
s
ch
ed
u
le
.
A
h
eter
o
g
e
n
eo
u
s
e
n
v
ir
o
n
m
en
t
th
at
co
n
n
ec
ts
m
il
lio
n
s
o
f
n
e
t
w
o
r
k
s
an
d
co
m
p
u
ter
s
i
s
u
s
u
all
y
at
r
is
k
to
f
ac
e
f
ail
u
r
es
o
f
c
o
m
p
o
n
e
n
t
s
/
r
eso
u
r
ce
s
(
m
ac
h
i
n
es,
h
ar
d
war
e,
s
o
f
t
w
ar
e
an
d
d
is
k
)
th
a
t
ar
e
lo
ca
ted
an
d
d
is
tr
ib
u
ted
all
o
v
er
t
h
e
n
e
t
w
o
r
k
.
Fo
r
s
y
s
te
m
s
t
h
at
ar
e
cr
iticall
y
d
ep
en
d
e
n
t
o
n
co
m
p
u
ter
s
,
f
o
r
ex
a
m
p
le
f
i
n
an
cia
l
s
y
s
te
m
,
th
e
s
e
s
y
s
te
m
s
h
a
v
e
h
i
g
h
r
eliab
ilit
y
r
eq
u
ir
e
m
e
n
t
s
.
He
n
ce
,
t
h
e
r
eliab
i
lit
y
is
s
u
e
s
m
u
s
t
b
e
co
n
s
id
er
ed
an
d
d
ea
li
n
g
w
it
h
f
a
u
lt
-
to
ler
an
ce
is
a
p
r
o
m
i
n
en
t
co
n
ce
r
n
e
s
p
ec
iall
y
i
n
la
r
g
e
h
e
ter
o
g
en
eo
u
s
en
v
ir
o
n
m
e
n
t
w
h
er
e
tas
k
s
t
h
a
t
ar
e
r
elate
d
,
b
ig
,
n
u
m
er
o
u
s
an
d
co
m
p
lex
.
T
h
e
p
r
o
ce
s
s
s
t
ar
ts
w
h
e
n
a
clie
n
t
r
eq
u
est
f
o
r
a
s
er
v
ice.
On
ce
t
h
e
clie
n
t’
s
r
eq
u
es
t
is
s
u
b
m
itt
ed
,
th
e
s
y
s
te
m
n
ee
d
s
to
b
e
r
esp
o
n
s
i
v
e
an
d
f
ast
.
T
h
e
clien
t
o
f
th
e
s
er
v
ice
r
elies
h
ea
v
il
y
o
n
ti
m
e
r
eq
u
ir
e
m
en
ts
an
d
co
n
s
tr
ain
ts
i
m
p
o
s
ed
b
y
t
h
e
s
er
v
ice
p
r
o
v
id
er
f
o
r
th
e
r
eso
u
r
ce
ca
p
ab
ilit
y
[
10
].
A
h
ig
h
-
p
er
f
o
r
m
a
n
ce
s
y
s
te
m
is
v
er
y
co
s
tl
y
,
r
eq
u
ir
e
s
m
o
r
e
en
er
g
y
d
u
e
to
th
e
in
cr
ea
s
e
o
f
n
u
m
b
er
o
f
r
e
s
o
u
r
ce
s
.
Ho
w
e
v
er
,
b
y
ad
d
in
g
m
o
r
e
r
eso
u
r
ce
s
th
e
s
y
s
te
m
w
il
l
b
e
less
r
eliab
le.
As
an
i
m
p
ac
t,
th
e
s
y
s
te
m
w
il
l
b
e
less
s
ec
u
r
e
an
d
ca
u
s
e
d
ela
y
to
th
e
o
v
er
all
p
r
o
ce
s
s
,
r
es
u
lti
n
g
i
n
p
o
te
n
tiall
y
f
r
u
s
tr
ated
clien
t
s
an
d
lo
s
t i
n
v
e
s
to
r
s
.
T
h
is
w
i
ll n
e
g
ati
v
el
y
i
m
p
ac
t b
u
s
i
n
ess
p
r
o
f
it a
n
d
tar
n
i
s
h
its
r
ep
u
tatio
n
.
T
h
e
m
ai
n
is
s
u
e
at
th
i
s
s
tag
e
is
to
h
a
v
e
p
r
o
p
er
p
o
s
itio
n
in
g
o
f
t
h
e
r
eso
u
r
ce
s
,
it
s
r
elatio
n
to
o
t
h
er
r
eso
u
r
ce
s
an
d
s
er
v
ices.
W
h
e
n
a
w
o
r
k
f
lo
w
i
s
s
u
b
m
it
ted
s
u
b
m
itti
n
g
to
t
h
e
s
y
s
te
m
,
t
h
e
s
c
h
ed
u
ler
d
eter
m
i
n
es
t
h
e
b
est
s
c
h
ed
u
le
b
ased
o
n
t
h
e
d
e
ad
lin
e
co
n
s
tr
ain
ts
a
n
d
a
v
ailab
i
lit
y
o
f
r
eso
u
r
ce
s
i
n
th
e
s
y
s
te
m
.
T
h
e
ch
alle
n
g
e
w
e
ad
d
r
ess
is
h
o
w
to
s
ch
ed
u
le
th
e
w
o
r
k
lo
ad
s
o
n
th
e
r
es
o
u
r
ce
s
b
u
t
en
s
u
r
i
n
g
th
at
ea
ch
task
is
s
c
h
ed
u
led
o
n
o
n
e
o
f
t
h
e
r
eso
u
r
ce
s
.
E
ac
h
r
eso
u
r
ce
ex
ec
u
t
es
th
e
tas
k
s
w
it
h
o
u
t
e
x
ce
ed
in
g
th
e
d
ea
d
lin
e
w
it
h
i
n
t
h
e
m
ax
i
m
u
m
u
s
e
o
f
r
eso
u
r
ce
s
.
W
o
r
k
f
lo
w
ta
s
k
s
w
er
e
e
x
ec
u
ted
o
n
e
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al
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ato
r
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p
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s
s
is
u
n
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n
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lar
g
e
n
u
m
b
e
r
o
f
w
o
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k
f
lo
w
tas
k
s
.
T
h
er
ef
o
r
e,
lar
g
e
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task
s
an
d
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ize
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r
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th
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ex
is
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in
g
w
o
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f
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d
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n
[
11
]
b
y
m
ak
in
g
t
h
e
f
o
llo
w
i
n
g
ch
a
n
g
es:
a)
A
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to
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a
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lar
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er
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tas
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b
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i
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l
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ltip
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w
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f
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w
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t
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t
s
ac
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ici
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g
th
e
Qo
S c
o
n
s
tr
ain
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s
.
b)
Failu
r
e
-
a
w
ar
e
w
o
r
k
f
lo
w
th
at
h
an
d
les lar
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m
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f
tas
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u
t sacr
i
f
ici
n
g
t
h
e
Qo
S c
o
n
s
tr
ai
n
ts
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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484
T
h
e
Qo
S
o
f
s
er
v
ice
-
b
ased
s
y
s
te
m
s
ar
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b
ec
o
m
in
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i
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cr
ea
s
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(
also
ca
lled
C
SB
S
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n
ee
d
s
to
b
e
m
ain
tain
ed
d
u
r
in
g
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u
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ti
m
e
[
1
2
]
.
A
n
y
tas
k
i
n
a
d
ata
i
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te
n
s
iv
e
w
o
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le
lar
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s
ized
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ata
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p
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a
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o
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tp
u
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ta
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es
o
f
its
ex
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u
tio
n
T
h
is
p
ap
er
aim
s
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ev
al
u
ate
t
h
e
p
er
f
o
r
m
an
ce
o
f
t
h
e
s
c
h
ed
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li
n
g
alg
o
r
ith
m
f
o
r
b
o
th
h
o
m
o
g
e
n
o
u
s
a
n
d
h
eter
o
g
e
n
eo
u
s
p
r
o
ce
s
s
o
r
s
.
T
o
tal
ex
ec
u
tio
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ti
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e
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s
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et
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n
d
th
er
e
f
o
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s
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h
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er
f
o
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a
n
ce
o
f
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e
w
h
o
le
s
y
s
te
m
.
T
h
u
s
,
th
e
w
o
r
k
f
lo
w
s
c
h
ed
u
li
n
g
ef
f
ici
en
c
y
a
n
d
th
e
tas
k
ex
ec
u
t
io
n
w
ill
i
m
p
r
o
v
e.
R
ap
id
l
y
g
r
o
w
in
g
tec
h
n
o
lo
g
ie
s
in
v
ar
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s
ar
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s
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u
ch
as
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y
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te
m
s
,
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et
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A
ll
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s
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n
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m
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d
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le
s
e
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m
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o
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s
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s
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ap
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elies
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ea
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m
a
k
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ai
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t
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s
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ec
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y
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u
r
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g
r
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n
ti
m
e.
T
h
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o
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e,
b
y
u
til
iz
in
g
t
h
e
r
es
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u
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ce
s
it
w
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m
p
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th
e
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m
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ce
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h
e
w
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w
ap
p
licatio
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T
h
is
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esear
ch
is
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o
u
t
e
n
h
a
n
c
in
g
t
h
e
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u
tio
n
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er
f
o
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m
an
ce
b
y
p
r
o
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o
s
in
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Fail
u
r
e
-
A
w
ar
e
W
o
r
k
f
lo
w
Sch
ed
u
li
n
g
(
F
AW
S)
A
lg
o
r
it
h
m
.
Ho
w
e
v
er
,
in
th
i
s
p
ap
er
,
w
e
m
ai
n
l
y
d
is
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s
s
o
n
en
ab
li
n
g
r
esch
ed
u
li
n
g
o
f
t
h
e
f
ai
led
task
to
th
e
u
n
u
s
ed
r
eso
u
r
ce
s
to
i
m
p
r
o
v
e
th
e
p
er
f
o
r
m
a
n
ce
.
T
h
e
v
alid
ate
th
e
ef
f
ec
tiv
e
n
e
s
s
o
f
th
e
p
r
o
p
o
s
ed
alg
o
r
ith
m
,
a
s
i
m
u
latio
n
-
d
r
iv
en
an
al
y
s
i
s
b
ased
o
n
r
ea
lis
tic
w
o
r
k
f
lo
w
ap
p
licatio
n
w
a
s
d
e
m
o
n
s
tr
a
ted
.
Fu
r
th
er
,
w
e
p
r
esen
t
a
co
m
p
ar
ativ
e
e
v
alu
a
tio
n
t
h
at
lo
o
k
s
at
t
w
o
m
a
in
o
b
j
ec
tiv
es:
(
1
)
u
tili
zin
g
u
n
u
s
ed
r
eso
u
r
ce
/ap
p
licatio
n
in
th
e
e
v
e
n
t
o
f
f
a
ilu
r
e
a
n
d
(
2
)
w
o
r
k
f
lo
w
s
c
h
ed
u
li
n
g
a
g
ai
n
s
t
f
a
u
lt
-
to
ler
an
t
to
w
ar
d
s
f
ail
u
r
es.
T
h
i
s
r
esear
ch
tac
k
les
t
h
e
c
h
alle
n
g
e
s
o
f
d
ev
elo
p
i
n
g
al
g
o
r
ith
m
s
f
o
r
r
esch
ed
u
lin
g
f
ailed
tas
k
s
b
ased
o
n
th
e
r
eliab
ilit
y
r
eq
u
ir
e
m
e
n
t.
T
h
e
s
im
u
latio
n
r
es
u
lts
s
h
o
w
th
e
F
A
W
S
al
g
o
r
ith
m
h
a
s
o
p
tim
ized
th
e
m
ak
e
s
p
an
an
d
r
eliab
ilit
y
o
f
th
e
w
o
r
k
f
lo
w
ap
p
licatio
n
.
2.
F
AIL
UR
E
-
AW
ARE WO
RK
F
L
O
W
SCH
E
DUL
I
N
G
(
F
A
W
S)
T
h
is
s
ec
tio
n
co
n
ti
n
u
es
w
it
h
a
b
r
ief
d
is
cu
s
s
io
n
o
f
a
n
u
m
b
er
o
f
s
tatic
s
ch
ed
u
lin
g
al
g
o
r
ith
m
w
it
h
p
ass
iv
e
r
ep
licatio
n
s
tr
ate
g
y
.
T
h
e
n
e
w
p
r
o
p
o
s
ed
s
ch
ed
u
li
n
g
alg
o
r
ith
m
is
n
a
m
ed
Fail
u
r
e
Aw
ar
e
W
o
r
k
f
lo
w
Sch
ed
u
l
in
g
(
F
A
W
S)
A
l
g
o
r
ith
m
.
T
h
e
co
m
p
ar
is
o
n
o
f
o
u
r
p
r
o
p
o
s
ed
alg
o
r
ith
m
is
d
o
n
e
b
ased
o
n
th
e
e
x
p
er
i
m
e
n
t
u
s
i
n
g
D
A
G
g
r
ap
h
as
a
co
n
t
in
u
a
tio
n
o
f
t
h
e
ea
r
lier
alg
o
r
ith
m
L
a
y
er
ed
W
o
r
k
f
lo
w
Sch
ed
u
lin
g
A
l
g
o
r
ith
m
(
L
W
FS
)
[
1
3
]
-
[
1
4
]
.
T
h
is
alg
o
r
ith
m
b
asic
id
ea
is
u
s
in
g
th
e
ex
ec
u
t
io
n
ti
m
e
o
f
th
e
w
o
r
k
f
l
o
w
s
c
h
ed
u
le
as
t
h
e
p
ar
a
m
eter
.
As
s
h
o
w
n
i
n
t
h
e
a
lg
o
r
ith
m
ab
o
v
e,
a
ll
a
v
ailab
le
p
r
o
ce
s
s
o
r
th
at
is
ch
ec
k
ed
o
n
f
o
r
cu
r
r
en
t
b
ac
k
u
p
.
T
h
e
ch
ec
k
i
n
g
p
r
o
ce
s
s
h
a
s
t
h
r
ee
m
ain
s
tep
s
.
2
.
1
.
Sub
T
a
s
k
Sched
uli
ng
T
h
e
task
s
an
d
th
e
b
ac
k
u
p
ar
e
s
ch
ed
u
led
o
n
th
e
ex
i
s
ti
n
g
r
eso
u
r
ce
s
.
T
h
e
f
ir
s
t
s
tep
w
il
l
b
e
esti
m
ati
n
g
t
h
e
ea
r
lies
t
av
ailab
le
ti
m
e
f
o
r
ea
ch
r
eso
u
r
ce
.
I
f
a
b
ac
k
u
p
task
w
ill
b
e
s
lo
t
in
an
y
o
f
t
h
e
r
eso
u
r
ce
s
an
d
th
e
b
ac
k
u
p
tas
k
s
s
tar
t
ti
m
e
w
ill
b
e
th
e
ea
r
lies
t
ta
s
k
to
b
eg
in
.
T
h
en
,
f
o
r
th
e
s
ec
o
n
d
s
tep
is
to
ch
ec
k
t
h
e
r
eso
u
r
c
es
s
tar
t
ti
m
e.
I
f
th
e
r
eso
u
r
ce
s
s
tar
t
at
th
e
s
a
m
e
ti
m
e,
t
h
e
ti
m
e
g
ap
f
o
r
th
e
av
ailab
le
r
eso
u
r
ce
s
f
r
o
m
b
o
th
o
v
er
lo
ad
ed
an
d
n
o
n
-
o
v
er
lo
ad
ed
s
ch
ed
u
les
w
ill
b
e
ex
a
m
in
ed
.
I
f
t
h
er
e
ar
e
ca
s
es
wh
er
e
b
o
th
f
ir
s
t
a
n
d
s
ec
o
n
d
s
tep
s
ca
n
n
o
t b
e
u
s
ed
to
f
in
d
c
u
r
r
en
t b
ac
k
u
p
,
th
e
t
h
ir
d
s
tep
w
i
ll b
e
in
tr
o
d
u
ce
d
.
T
h
e
th
ir
d
s
tep
u
s
es
m
a
k
esp
an
as
th
e
b
ac
k
u
p
s
tar
t
ti
m
e.
W
h
e
n
t
h
e
ea
r
lies
t
e
x
ec
u
tio
n
ti
m
e
t
o
s
ch
ed
u
le
th
e
b
ac
k
u
p
,
s
lo
t
h
av
e
b
ee
n
f
o
u
n
d
th
e
r
ep
licatio
n
co
s
t
o
f
t
h
e
c
u
r
r
en
t
b
ac
k
u
p
w
il
l
b
e
ca
lcu
la
t
ed
.
T
h
e
r
ep
licatio
n
co
s
t
ca
n
also
b
e
t
h
e
d
ec
id
in
g
p
ar
am
eter
if
i
n
a
s
it
u
atio
n
w
h
er
e
s
ev
er
al
r
eso
u
r
ce
s
h
a
v
e
th
e
s
a
m
e
ea
r
lie
s
t
f
i
n
is
h
ti
m
e.
T
h
e
b
ac
k
u
p
task
w
i
ll
b
e
s
ch
ed
u
led
to
th
e
r
eso
u
r
ce
w
it
h
m
i
n
i
m
u
m
r
ep
licatio
n
co
s
t.
T
h
e
p
er
f
o
r
m
an
ce
o
f
F
A
W
S a
l
g
o
r
ith
m
i
s
test
ed
b
as
ed
o
n
th
e
s
i
m
u
lati
o
n
u
s
in
g
s
y
n
th
etic
w
o
r
k
f
lo
w
.
T
h
e
e
x
p
er
i
m
en
t
w
il
l c
o
m
p
ar
e
i
n
ter
m
s
o
f
f
a
u
lt to
ler
an
ce
o
f
t
h
e
p
r
o
p
o
s
ed
alg
o
r
ith
m
b
ased
o
n
g
iv
e
n
ca
s
e
s
.
Pr
o
c
e
d
u
r
e
:
F
A
W
S
1
:
I
N
PU
T
:
T
t
a
sk,
Pr
i
o
r
i
t
i
ze
l
i
s
t
,
R
2
:
O
U
T
PU
T
:
S
c
h
e
d
u
l
e
3
:
BEG
I
N
5
:
W
HI
L
E
(
)
DO
6
…
.
S
c
h
e
d
u
l
e
t
h
e
Pri
m
a
ry
C
o
p
y
u
si
n
g
H
EFT
7
…
.
S
c
h
e
d
u
l
e
t
h
e
Ba
c
k
u
p
C
o
p
i
e
s
8:
.
n
e
x
t
9.
(
)
10
.
11
.
+=
12
…
…T
’
i
13
.
EN
D
W
H
I
L
E
8
:
R
e
t
u
r
n
S
c
h
e
d
u
l
e
8
.
EN
D
F
A
W
S
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
d
o
n
esia
n
J
E
lec
E
n
g
&
C
o
m
p
Sci
I
SS
N:
2502
-
4752
S
ch
ed
u
lin
g
W
o
r
kflo
w
A
p
p
lica
tio
n
s
w
ith
Ma
ke
s
p
a
n
a
n
d
R
elia
b
ilit
y
C
o
n
s
tr
a
in
ts
(
Ma
s
l
in
a
A
b
d
u
l A
z
iz
)
485
2
.
1
.
1.
Ca
s
e
1
:
E
x
is
t
ing
T
a
s
ks
o
n Re
s
o
urce
w
it
h no
F
a
ilu
re
:
I
n
C
ase
1
,
th
e
r
eso
u
r
ce
s
alr
ea
d
y
h
a
v
e
tas
k
s
s
c
h
ed
u
led
o
n
t
h
e
m
.
T
h
er
ef
o
r
e,
w
e
n
ee
d
to
f
i
n
d
th
e
b
est
r
eso
u
r
ce
f
o
r
t
h
e
b
ac
k
u
p
tas
k
s
.
Sin
ce
th
er
e
ar
e
ex
i
s
ti
n
g
tas
k
s
,
th
e
b
ac
k
u
p
ta
s
k
n
ee
d
to
b
e
s
c
h
ed
u
le
o
v
er
lap
p
in
g
w
it
h
t
h
e
ex
is
tin
g
tas
k
s
.
B
u
t
t
h
e
s
ch
ed
u
li
n
g
p
r
o
ce
s
s
w
il
l
s
till
f
o
llo
w
t
h
e
f
o
u
r
B
ac
k
u
p
Sch
e
d
u
lin
g
C
o
n
s
tr
ai
n
ts
.
Ou
r
p
r
o
p
o
s
ed
s
ch
ed
u
l
in
g
al
g
o
r
ith
m
is
ca
lled
B
est_
R
eso
u
r
ce
A
lg
o
r
it
h
m
.
T
h
e
m
a
in
p
u
r
p
o
s
e
is
f
i
n
d
in
g
t
h
e
b
e
s
t
r
eso
u
r
ce
to
p
lace
th
e
b
ac
k
u
p
t
ask
s
.
B
y
s
ca
n
n
in
g
th
e
w
o
r
k
f
l
o
w
f
o
r
w
ar
d
f
r
o
m
th
e
to
p
o
r
t
h
e
task
to
th
e
en
d
,
w
e
ar
e
ab
le
to
d
eter
m
i
n
e
w
h
ic
h
r
eso
u
r
ce
s
ar
e
av
ai
lab
le
to
p
lace
th
e
b
ac
k
u
p
tas
k
s
.
Pr
o
c
e
d
u
r
e
:
B
est_
Fit
_
Slo
t
1
:
I
N
PU
T
:
T
t
a
sk,
Pr
i
o
r
i
t
i
ze
l
i
s
t
,
R
2
:
O
U
T
PU
T
:
S
c
h
e
d
u
l
e
3
:
BEG
I
N
5
:
F
o
r
(
|
|
)
DO
4
.
(
)
5
.
EN
D
FO
R
6
:
Re
t
u
rn
l
i
st
6
.
EN
D
Be
s
t
_
Fi
t
_
S
l
o
t
Fig
u
r
e
1
s
h
o
w
s
th
e
ta
s
k
s
an
d
i
ts
b
ac
k
u
p
ta
s
k
s
s
c
h
ed
u
li
n
g
.
T
h
er
e
ar
e
3
r
eso
u
r
ce
s
(
R
1
,
R
2
an
d
R
3
)
an
d
8
p
r
im
ar
y
ta
s
k
s
w
it
h
its
r
esp
e
ctiv
e
b
ac
k
u
p
s
.
T
h
er
e
is
o
n
l
y
1
b
ac
k
u
p
f
o
r
ea
ch
tas
k
b
u
t
n
o
t
all
task
s
w
ill
h
av
e
a
b
ac
k
u
p
.
E
ac
h
b
ac
k
u
p
tas
k
w
ill
b
e
s
ch
ed
u
led
af
ter
its
p
r
im
ar
y
.
I
f
th
e
task
o
r
th
e
r
eso
u
r
ce
f
ai
l,
i
m
m
ed
iatel
y
t
h
e
b
ac
k
u
p
tas
k
w
ill b
e
ac
ti
v
ated
Fig
u
r
e
1
.
Sch
ed
u
li
n
g
b
ac
k
u
p
task
w
it
h
b
est_
r
eso
u
r
ce
al
g
o
r
ith
m
2
.
1
.
2.
Ca
s
e
2
:
Reso
urce
F
a
il
ure
I
n
th
is
ca
s
e,
w
e
p
r
o
p
o
s
e
an
o
th
er
alg
o
r
ith
m
ca
lled
B
est_
Fit
_
Slo
t
A
lg
o
r
it
h
m
.
Or
th
is
ex
a
m
p
le,
ass
u
m
e
t
h
at
R
e
s
o
u
r
ce
1
(
R
1
)
f
ails
.
I
n
th
i
s
alg
o
r
ith
m
,
th
e
s
ca
n
n
i
n
g
p
r
o
ce
s
s
g
o
es
u
p
s
tar
ti
n
g
f
r
o
m
task
.
B
y
lo
o
k
in
g
b
ac
k
w
ar
d
s
,
w
e
ar
e
ab
l
e
to
ass
i
g
n
b
ac
k
u
p
to
an
a
v
aila
b
le
in
ter
v
al
o
r
o
v
er
lap
w
ith
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is
ti
n
g
tas
k
w
it
h
o
u
t
v
io
lati
n
g
t
h
e
co
n
s
tr
ain
t
s
.
A
s
s
ig
n
a
f
f
ec
ted
tas
k
s
to
an
o
t
h
er
r
eso
u
r
ce
w
i
th
t
h
e
ea
r
lies
t
s
tar
t
ti
m
e.
R
e
s
tar
t
t
h
e
f
ailed
tas
k
at
th
e
la
s
t
cu
r
r
e
n
t
p
o
s
itio
n
.
T
h
is
alg
o
r
ith
m
f
i
n
d
s
th
e
v
ac
a
n
t
ti
m
e
i
n
ter
v
al
s
,
eit
h
er
th
e
u
n
o
cc
u
p
ied
ti
m
e
i
n
ter
v
a
ls
o
r
o
v
er
lo
ad
in
g
w
it
h
e
x
is
t
in
g
p
r
i
m
ar
y
tas
k
.
W
h
en
o
n
e
o
f
th
e
r
eso
u
r
ce
s
(
R
1
)
f
ails
,
t
h
e
b
ac
k
u
p
task
w
il
l
s
tar
t
i
m
m
ed
iatel
y
.
As
w
e
ca
n
s
ee
R
1
o
r
ig
in
a
ll
y
,
R
1
h
as
a
f
u
l
l
lo
ad
o
f
5
task
s
.
Sch
ed
u
li
n
g
th
e
f
ailed
task
is
v
er
y
ch
a
llen
g
i
n
g
s
i
n
ce
o
th
er
r
eso
u
r
ce
s
ar
e
also
p
ac
k
ed
w
ith
ta
s
k
s
.
T
h
e
B
est_
Fit
_
Slo
t
A
lg
o
r
it
h
m
lo
o
k
s
at
th
e
lo
ad
an
d
a
v
ailab
le
ti
m
e
o
f
ea
ch
r
eso
u
r
ce
.
T
h
is
tec
h
n
iq
u
e
also
s
h
o
w
s
th
e
tas
k
s
ar
e
g
r
o
u
p
ed
to
s
av
e
m
o
r
e
ti
m
e.
T
h
e
al
g
o
r
ith
m
a
ls
o
lo
o
k
s
at
t
h
e
b
es
t
w
a
y
to
s
h
i
f
t
s
m
a
ller
tas
k
s
to
g
et
h
er
.
T
h
e
h
i
g
h
li
g
h
ted
tas
k
s
ar
e
th
e
n
e
w
tas
k
q
u
e
u
e
t
h
at
co
m
b
i
n
es
p
r
i
m
ar
y
a
n
d
th
e
b
ac
k
u
p
task
s
r
ea
d
y
to
b
e
ex
ec
u
ted
o
n
o
th
er
av
ai
lab
le
r
eso
u
r
ce
s
.
Pr
o
c
e
d
u
r
e
:
B
e
st
_
R
e
so
u
r
c
e
1
:
I
N
PU
T
:
T
t
a
sk,
2
:
O
U
T
PU
T
:
l
i
st
3
:
BEG
I
N
5
:
Fo
r
(
|
|
)
DO
4
.
(
)
5
.
EN
D
F
O
R
6
:
R
e
t
u
r
n
l
i
s
t
6
.
EN
D
B
e
st
_
R
e
so
u
r
c
e
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
5
0
2
-
4752
I
n
d
o
n
esia
n
J
E
lec
E
n
g
&
C
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m
p
Sci,
Vo
l
.
1
2
,
No
.
2
,
No
v
e
m
b
er
201
8
:
4
8
2
–
4
8
8
486
Fig
u
r
e
2
s
h
o
w
s
w
h
e
n
o
n
e
o
f
t
h
e
r
eso
u
r
ce
s
(
R
1
)
f
ails
,
t
h
e
b
ac
k
u
p
tas
k
w
i
ll
s
tar
t
i
m
m
ed
iatel
y
.
As
w
e
ca
n
s
ee
R
1
o
r
ig
i
n
all
y
,
R
1
h
as a
f
u
ll lo
ad
o
f
5
tas
k
s
.
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ch
ed
u
li
n
g
th
e
f
ailed
ta
s
k
i
s
v
er
y
ch
al
len
g
i
n
g
s
i
n
ce
o
th
er
r
eso
u
r
ce
s
ar
e
also
p
ac
k
ed
w
ith
ta
s
k
s
.
T
h
e
B
est_
Fit
_
Slo
t
A
lg
o
r
it
h
m
lo
o
k
s
at
th
e
lo
ad
an
d
av
ailab
le
ti
m
e
o
f
ea
ch
r
eso
u
r
ce
.
T
h
is
tech
n
i
q
u
e
also
s
h
o
w
s
t
h
e
tas
k
s
ar
e
g
r
o
u
p
ed
to
s
av
e
m
o
r
e
ti
m
e.
T
h
e
alg
o
r
ith
m
als
o
lo
o
k
s
at
t
h
e
b
est
w
a
y
to
s
h
if
t
s
m
aller
tas
k
s
to
g
et
h
er
.
T
h
e
h
i
g
h
l
ig
h
ted
ta
s
k
s
ar
e
t
h
e
n
e
w
tas
k
q
u
e
u
e
t
h
a
t
co
m
b
i
n
es p
r
i
m
ar
y
a
n
d
th
e
b
ac
k
u
p
tas
k
s
r
ea
d
y
to
b
e
ex
ec
u
ted
o
n
o
th
er
av
ailab
le
r
eso
u
r
ce
s
.
Fig
u
r
e
2
.
Sch
ed
u
li
n
g
b
ac
k
u
p
task
w
it
h
b
est_
f
it_
s
lo
t a
l
g
o
r
ith
m
3.
RE
SU
L
T
S
A
ND
AN
AL
Y
SI
S
T
h
e
ch
ec
k
i
n
g
p
r
o
ce
s
s
h
as
t
h
r
ee
m
ai
n
s
tep
s
.
T
h
e
f
ir
s
t
s
tep
w
il
l
b
e
esti
m
at
in
g
t
h
e
ea
r
lie
s
t
av
ailab
le
ti
m
e
f
o
r
ea
c
h
r
eso
u
r
ce
.
I
f
t
h
e
b
ac
k
u
p
ca
n
b
e
s
lo
t
i
n
o
n
t
h
i
s
r
eso
u
r
ce
,
t
h
e
b
ac
k
u
p
ta
s
k
s
tar
t
ti
m
e
w
ill
b
e
s
et
as
th
e
ea
r
lies
t
s
tar
t
ti
m
e.
T
h
e
s
e
co
n
d
s
tep
is
if
th
e
r
eso
u
r
ce
s
h
av
e
th
e
s
a
m
e
s
tar
t
ti
m
e,
t
h
e
r
eso
u
r
ce
w
it
h
t
h
e
av
ailab
le
ti
m
e
s
lo
t
f
r
o
m
b
o
th
o
v
er
lo
ad
ed
ex
is
ti
n
g
s
c
h
ed
u
les
a
n
d
th
e
ti
m
e
g
ap
a
m
o
n
g
n
o
n
-
o
v
er
lo
ad
ed
s
ch
ed
u
les.
I
f
t
h
er
e
ar
e
ca
s
es
w
h
er
e
b
o
th
s
tep
s
ca
n
n
o
t
b
e
u
s
ed
to
f
in
d
cu
r
r
en
t
b
ac
k
u
p
,
th
e
th
ir
d
s
tep
w
i
ll
b
e
in
tr
o
d
u
ce
d
.
T
h
e
th
ir
d
s
tep
u
s
es
m
ak
e
s
p
an
as
th
e
b
ac
k
u
p
s
tar
t
ti
m
e.
W
h
en
t
h
e
ea
r
lies
t
ex
ec
u
tio
n
ti
m
e
to
s
ch
ed
u
le
th
e
b
ac
k
u
p
,
s
lo
t
h
a
v
e
b
ee
n
f
o
u
n
d
th
e
r
ep
licat
io
n
co
s
t
o
f
th
e
cu
r
r
e
n
t
b
ac
k
u
p
w
ill
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e
ca
lcu
lated
.
T
h
e
r
ep
licatio
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co
s
t
ca
n
also
b
e
th
e
d
ec
id
in
g
p
ar
am
eter
i
f
in
a
s
itu
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n
w
h
er
e
s
e
v
er
al
r
eso
u
r
ce
s
h
a
v
e
th
e
s
a
m
e
ea
r
lies
t
f
i
n
is
h
ti
m
e.
T
h
e
b
ac
k
u
p
tas
k
w
ill
b
e
s
ch
ed
u
led
to
th
e
p
r
o
ce
s
s
o
r
th
at
h
as
th
e
m
in
i
m
u
m
r
ep
licatio
n
co
s
t.
T
h
e
tas
k
s
T
an
d
th
e
b
ac
k
u
p
T
’
ar
e
s
ch
ed
u
led
o
n
th
e
ex
i
s
ti
n
g
r
eso
u
r
ce
s
.
W
h
en
s
ch
ed
u
li
n
g
a
n
e
w
b
ac
k
u
p
,
th
e
r
eso
u
r
ce
t
h
at
m
ee
ts
t
h
e
t
h
r
ee
co
n
d
itio
n
s
a
s
m
e
n
tio
n
ed
ab
o
v
e.
T
h
e
F
A
W
S
alg
o
r
it
h
m
p
er
f
o
r
m
a
n
ce
i
s
te
s
ted
b
ased
o
n
th
e
s
i
m
u
latio
n
u
s
i
n
g
s
y
n
t
h
etic
w
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k
f
lo
w
.
T
h
e
e
x
p
er
i
m
en
t
w
i
ll
co
m
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ar
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i
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ter
m
s
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f
f
a
u
lt to
ler
an
ce
o
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t
h
e
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r
o
p
o
s
ed
alg
o
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ith
m
b
ased
o
n
g
iv
e
n
s
ce
n
ar
io
s
.
3
.
1
.
S
ce
na
rio
1
I
f
a
n
y
o
f
th
e
r
eso
u
r
ce
s
f
ails
i
n
t
h
e
m
id
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le
o
f
ta
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k
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ec
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tio
n
a
n
d
t
h
e
ta
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af
f
ec
ted
is
a
n
o
n
-
cr
itical
task
,
t
h
e
ta
s
k
s
w
il
l
b
e
r
esch
ed
u
led
to
th
e
n
e
x
t
a
v
ailab
le
r
eso
u
r
ce
s
.
Fi
g
u
r
e
3
s
h
o
w
s
t
h
e
s
ce
n
ar
io
w
h
e
n
r
eso
u
r
ce
f
ail
u
r
e
h
ap
p
en
ed
at
R
1
.
Fig
u
r
e
3
.
R
eso
u
r
ce
f
a
ilu
r
e
i
n
t
h
e
m
id
d
le
o
f
ta
s
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e
x
ec
u
tio
n
3
.
2
.
S
ce
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rio
2
I
f
th
e
h
i
g
h
l
y
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ep
en
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en
t
R
eso
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r
ce
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ails
i
n
th
e
m
id
d
le
o
f
th
e
f
ir
s
t
tas
k
ex
ec
u
tio
n
(
Fi
g
u
r
e
4
)
.
Fo
r
th
is
t
y
p
e
o
f
f
ail
u
r
e,
th
e
r
esch
e
d
u
lin
g
tas
k
s
ar
e
n
o
t a
s
co
m
p
li
ca
ted
as in
Sce
n
ar
io
.
R1
R2
R3
T8
T7
T2
T4
T5
T3
T2
T1
T6
T1
0
T9
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
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N:
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-
4752
S
ch
ed
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lin
g
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kflo
w
A
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l A
z
iz
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487
Fig
u
r
e
4
.
R
eso
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r
ce
f
a
ilu
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i
n
t
h
e
m
id
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le
o
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f
ir
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t ta
s
k
e
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ec
u
ti
o
n
3
.
2
.
S
ce
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rio
3
Fo
r
th
e
t
h
ir
d
s
ce
n
ar
io
,
t
h
e
f
ail
u
r
e
h
ap
p
en
ed
at
t
h
e
s
a
m
e
s
p
o
t
as
i
n
s
ce
n
ar
io
1
.
R
eso
u
r
ce
R
1
f
ail
s
i
n
th
e
m
id
d
le
o
f
ex
ec
u
tio
n
.
Fi
g
u
r
e
5
s
h
o
w
s
t
h
e
f
ail
u
r
e
o
f
R
1
wh
en
e
x
ec
u
tin
g
ta
s
k
T
2
w
it
h
b
ac
k
u
p
s
.
Fig
u
r
e
5
.
R
eso
u
r
ce
f
a
ilu
r
e
i
n
t
h
e
m
id
d
le
o
f
ta
s
k
e
x
ec
u
tio
n
with
b
ac
k
u
p
s
B
y
ap
p
l
y
i
n
g
o
u
r
p
r
o
p
o
s
ed
FA
W
S
alg
o
r
ith
m
,
ta
s
k
T
2
w
ill
n
o
t
r
estar
t
f
r
o
m
th
e
b
eg
i
n
n
i
n
g
.
I
n
s
tead
,
it
w
il
l
co
n
t
in
u
e
f
r
o
m
th
e
T
2
last
v
alu
e
w
h
e
n
R
1
f
ailed
.
T
o
f
i
n
is
h
th
e
r
e
m
ai
n
i
n
g
T
2
,
th
e
r
eso
u
r
ce
w
it
h
t
h
e
ea
r
lies
t
ex
ec
u
t
io
n
ti
m
e
w
ill
b
e
ch
o
s
en
.
Fo
r
th
is
s
it
u
atio
n
th
e
r
e
m
ai
n
in
g
ti
m
e
o
f
T
2
w
ill
s
tar
t
au
to
m
atica
ll
y
af
ter
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5
f
i
n
is
h
es.
T
h
e
b
asic
id
ea
o
f
t
h
i
s
al
g
o
r
ith
m
is
to
p
lac
e
b
ac
k
u
p
tas
k
s
,
f
o
r
ta
s
k
s
t
h
at
ar
e
w
h
e
n
a
r
eso
u
r
ce
f
ails
.
T
h
is
p
r
o
v
ed
t
h
at
i
f
in
a
s
itu
a
tio
n
w
h
er
e
t
h
e
tas
k
f
ails
,
th
e
b
ac
k
u
p
tas
k
w
il
l
s
tar
t
i
m
m
ed
iatel
y
f
r
o
m
t
h
e
last
v
al
u
e
o
f
th
e
f
ailed
tas
k
s
,
w
it
h
o
u
t
h
av
i
n
g
to
r
estar
t
th
e
w
h
o
le
task
.
T
h
e
task
s
c
h
ed
u
lin
g
p
r
o
ce
s
s
is
th
e
co
n
tin
u
atio
n
o
f
th
e
L
a
y
er
ed
W
o
r
k
f
lo
w
Sc
h
ed
u
li
n
g
A
l
g
o
r
it
h
m
(
L
W
F
S)
al
g
o
r
ith
m
[
12
]
-
[
13
]
.
I
t
u
s
es
t
h
e
s
a
m
e
p
r
io
r
itized
lis
t
g
en
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ated
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s
in
g
L
W
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S.
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ased
o
n
th
e
ex
p
er
i
m
e
n
tal
r
es
u
lt,
th
e
o
v
er
all
m
a
k
esp
an
i
s
9
3
m
in
s
.
T
h
is
s
h
o
w
s
,
t
h
e
m
a
k
esp
a
n
i
s
less
as
co
m
p
ar
ed
to
o
th
er
s
.
Fig
u
r
e
6
i
s
a
g
r
ap
h
t
h
at
s
u
m
m
ar
izes
th
e
o
v
er
all
p
er
f
o
r
m
a
n
ce
o
f
t
h
e
g
i
v
en
s
c
en
ar
io
s
.
Fro
m
t
h
is
g
r
ap
h
,
it
s
h
o
w
s
t
h
e
w
o
r
s
t
-
ca
s
e
s
ce
n
ar
io
is
Scen
ar
io
1
,
th
e
id
ea
l
s
ce
n
ar
io
is
Sce
n
ar
io
3
as
co
m
p
ar
ed
to
th
e
n
o
r
m
al
s
itu
at
i
o
n
o
f
w
o
r
k
f
lo
w
s
ch
ed
u
li
n
g
w
it
h
o
u
t
an
y
f
a
ilu
r
e
s
.
Fo
r
th
is
ex
p
er
i
m
e
n
t,
w
e
ca
lc
u
lated
t
h
e
m
a
k
esp
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b
y
s
i
m
u
lati
n
g
it
o
n
b
ased
o
n
d
if
f
er
en
t
s
ce
n
ar
io
s
u
s
in
g
n
u
m
b
er
o
f
r
eso
u
r
ce
s
f
o
r
t
h
e
s
a
m
e
ap
p
licatio
n
.
Di
f
f
er
en
t
s
ce
n
ar
io
s
h
a
v
e
d
i
f
f
er
e
n
t
e
f
f
ec
ts
o
f
th
e
o
v
er
all
m
ak
e
s
p
an
.
T
h
e
r
e
s
u
l
t
ca
n
b
e
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er
iv
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b
y
ca
lcu
lat
in
g
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e
d
if
f
e
r
en
ce
o
f
th
e
o
v
er
all
ti
m
e
ta
k
e
n
f
o
r
ea
ch
s
ce
n
ar
io
.
B
ased
o
n
th
e
r
esu
lt,
it
s
h
o
ws
th
at
o
u
r
p
r
o
p
o
s
ed
w
o
r
k
f
lo
w
F
A
W
S
i
m
p
r
o
v
ed
th
e
m
a
k
esp
an
o
f
t
h
e
g
i
v
en
w
o
r
k
f
lo
w
.
W
e
ca
lc
u
lated
t
h
e
m
ak
e
s
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an
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y
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m
u
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o
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ased
o
n
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if
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er
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t
s
ce
n
ar
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s
u
s
i
n
g
a
n
u
m
b
er
o
f
r
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r
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s
f
o
r
t
h
e
s
a
m
e
w
o
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k
f
lo
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licatio
n
.
Dif
f
er
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n
t
s
ce
n
a
r
io
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h
av
e
d
if
f
er
en
t
e
f
f
ec
ts
o
f
th
e
o
v
er
all
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ak
e
s
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an
.
T
h
e
r
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lt c
a
n
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b
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lc
u
lati
n
g
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e
d
i
f
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e
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ce
o
f
th
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v
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al
l ti
m
e
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e
n
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ch
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ce
n
ar
io
.
B
ased
o
n
th
e
r
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lt,
it
s
h
o
w
s
th
at
o
u
r
p
r
o
p
o
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ed
w
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k
f
lo
w
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A
W
S
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n
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ea
s
ed
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e
m
ak
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s
p
an
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ce
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i
s
n
o
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ail
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r
e.
Sin
ce
t
h
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e
is
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k
f
ail
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r
e
d
u
r
in
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tio
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p
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s
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o
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r
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t
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e
m
a
k
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ea
s
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is
u
n
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id
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w
e
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er
,
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n
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ea
s
ed
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ak
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s
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an
i
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er
y
m
i
n
i
m
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a
s
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m
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ar
ed
to
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t
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er
s
.
Fi
g
u
r
e
7
is
a
g
r
ap
h
t
h
at
s
u
m
m
ar
ize
s
t
h
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er
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er
f
o
r
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a
n
ce
o
f
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A
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ased
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g
i
v
e
n
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ce
n
ar
io
s
.
Fro
m
t
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is
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r
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h
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it
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h
o
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h
e
w
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r
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t
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ca
s
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s
ce
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io
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Scen
ar
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1
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3
w
ith
9
3
m
i
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te
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as
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ar
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lin
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ail
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R2
R3
T4
T2
T2
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T8
T7
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T3
T1
T6
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
5
0
2
-
4752
I
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8
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Fig
u
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e
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.
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CO
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r
esch
ed
u
li
n
g
o
f
t
h
e
f
ailed
task
o
n
th
e
u
n
co
m
p
let
ed
task
e
x
ec
u
t
io
n
.
T
h
is
is
d
o
n
e
b
ased
o
n
th
e
ex
p
er
i
m
e
n
t
u
s
i
n
g
D
A
G
g
r
ap
h
as
a
co
n
t
in
u
atio
n
o
f
th
e
L
a
y
er
ed
W
o
r
k
f
lo
w
Sch
ed
u
li
n
g
Alg
o
r
ith
m
(
L
W
FS
)
.
T
h
e
alg
o
r
ith
m
d
is
c
u
s
s
ed
in
th
i
s
p
ap
er
is
f
o
r
s
c
h
ed
u
lin
g
p
ar
al
lel
ap
p
licatio
n
s
o
n
h
o
m
o
g
e
n
e
o
u
s
s
y
s
te
m
s
s
o
l
v
ed
t
w
o
co
n
f
lict
in
g
o
b
j
ec
tiv
es:
m
ax
i
m
ize
th
e
r
eliab
ili
t
y
a
n
d
m
in
i
m
ize
t
h
e
m
a
k
esp
an
at
th
e
s
a
m
e
ti
m
e.
T
h
e
p
r
o
p
o
s
ed
alg
o
r
ith
m
h
a
n
d
les
u
n
s
u
cc
ess
f
u
l
j
o
b
ex
ec
u
tio
n
o
r
r
eso
u
r
ce
f
ailu
r
e
b
y
d
y
n
a
m
icall
y
s
c
h
ed
u
li
n
g
w
o
r
k
f
lo
w
s
to
a
v
ailab
le
r
eso
u
r
ce
s
.
W
e
co
m
p
ar
ed
t
h
e
F
A
W
S
alg
o
r
it
h
m
w
i
th
th
e
d
if
f
er
en
t
s
c
h
ed
u
li
n
g
alg
o
r
ith
m
s
.
B
ased
o
n
th
e
e
x
p
er
im
e
n
t,
s
p
ec
if
icall
y
ta
s
k
r
esch
ed
u
lin
g
h
a
s
a
h
u
g
e
i
m
p
ac
t
to
t
h
e
s
u
b
s
eq
u
en
t
s
ch
ed
u
lin
g
d
ec
is
io
n
s
f
o
r
n
o
t
-
s
c
h
ed
u
led
-
y
et
tas
k
(
ch
ild
)
in
t
h
e
w
o
r
k
f
lo
w
.
Fo
r
s
i
m
u
latio
n
a
n
al
y
s
i
s
,
w
e
r
an
d
o
m
l
y
g
e
n
er
ated
task
g
r
ap
h
s
a
n
d
s
ch
ed
u
led
th
e
p
ar
allel
ap
p
licatio
n
s
o
n
h
o
m
o
g
en
eo
u
s
s
y
s
te
m
s
.
T
h
e
s
i
m
u
latio
n
r
es
u
lt
s
s
h
o
w
t
h
at
th
e
p
r
o
p
o
s
ed
FA
W
S
al
g
o
r
ith
m
ca
n
s
ig
n
i
f
ica
n
tl
y
o
p
ti
m
iz
e
th
e
m
a
k
esp
a
n
an
d
s
u
cc
e
s
s
f
u
ll
y
m
ap
t
h
e
w
o
r
k
f
lo
w
ta
s
k
s
to
th
e
r
eso
u
r
ce
s
ac
c
o
r
d
in
g
l
y
.
T
h
e
p
r
o
p
o
s
ed
alg
o
r
ith
m
is
b
etter
t
h
a
n
ex
is
t
in
g
h
eu
r
i
s
tic
-
b
ased
tech
n
iq
u
es
f
o
r
s
ch
ed
u
lin
g
ap
p
licati
o
n
w
o
r
k
f
lo
w
s
.
F
o
r
f
u
t
u
r
e
w
o
r
k
,
w
e
w
ill
lo
o
k
at
d
if
f
er
e
n
t c
o
n
f
l
icti
n
g
Qo
S o
b
j
ec
tiv
es
s
u
ch
as
C
o
s
t
an
d
E
n
er
g
y
.
Si
n
ce
s
m
all
i
n
cr
ea
s
e
in
m
a
k
esp
an
w
i
ll
h
av
e
b
ig
ef
f
ec
t
to
b
o
th
co
n
s
tr
ai
n
t
s
,
w
e
w
il
l
p
r
o
p
o
s
e
a
s
o
lu
tio
n
t
h
at
a
b
le
to
m
in
i
m
ize
t
h
e
e
n
er
g
y
co
n
s
u
m
p
t
io
n
a
n
d
co
s
t
w
it
h
o
u
t sacr
i
f
ici
n
g
t
h
e
s
y
s
te
m
p
er
f
o
r
m
a
n
ce
.
RE
F
E
R
E
NC
E
S
[1
]
Bro
u
n
s
,
G
.
A
.
J.
F
.
Fea
t
u
rin
g
wo
rk
fl
o
w
ma
n
a
g
e
me
n
t
.
T
e
c
h
n
isc
h
e
Un
iv
e
rsiteit
Ei
n
d
h
o
v
e
n
,
De
p
a
rtm
e
n
t
o
f
M
a
th
e
m
a
ti
c
s an
d
Co
m
p
u
ti
n
g
S
c
ien
c
e
,
2
0
0
0
.
[2
]
W
iec
z
o
re
k
,
M
a
re
k
,
A
n
d
re
a
s
Ho
h
e
ise
l,
a
n
d
Ra
d
u
P
r
o
d
a
n
.
T
a
x
o
n
o
m
ie
s
o
f
th
e
mu
lt
i
-
c
riter
ia
g
ri
d
wo
rk
fl
o
w
sc
h
e
d
u
li
n
g
p
ro
b
lem
.
G
rid
m
id
d
lew
a
re
a
n
d
se
rv
ice
s.
S
p
rin
g
e
r
US,
2
0
0
8
.
2
3
7
-
2
6
4
.
[3
]
Al
-
A
li
,
Ra
sh
id
,
e
t
a
l.
An
OG
S
A
-
b
a
se
d
q
u
a
li
ty
o
f
se
rv
ice
f
ra
me
wo
rk
.
G
rid
a
n
d
Co
o
p
e
ra
ti
v
e
Co
m
p
u
ti
n
g
(2
0
0
4
):
5
2
9
-
5
4
0
.
[4
]
Jia
Yu
.
a
n
d
B
u
y
y
a
R.
A
T
a
x
o
n
o
my
o
f
W
o
rk
fl
o
w
M
a
n
a
g
e
me
n
t
S
y
ste
ms
fo
r
Gr
id
Co
m
p
u
ti
n
g
.
Jo
u
rn
a
l
o
f
G
rid
Co
m
p
u
ti
n
g
,
v
o
l
.
3
,
n
o
.
3
,
p
p
.
1
7
1
–
2
0
0
,
S
e
p
tem
b
e
r
2
0
0
5
.
Do
n
g
a
r
ra
,
Ja
c
k
J.,
Emm
a
n
u
e
l
Je
a
n
n
o
t,
Eri
k
S
a
u
le,
a
n
d
Zh
iao
S
h
i
.
Bi
-
o
b
jec
ti
v
e
sc
h
e
d
u
l
in
g
a
l
g
o
rit
h
ms
fo
r
o
p
ti
mizin
g
ma
k
e
sp
a
n
a
n
d
re
li
a
b
il
i
ty
o
n
h
e
ter
o
g
e
n
e
o
u
s
sy
ste
ms
.
In
P
r
o
c
e
e
d
in
g
s
o
f
th
e
n
i
n
e
tee
n
th
a
n
n
u
a
l
A
CM
sy
m
p
o
siu
m
o
n
P
a
ra
ll
e
l
a
lg
o
rit
h
m
s
a
n
d
a
rc
h
it
e
c
tu
re
s,
p
p
.
2
8
0
-
2
8
8
.
A
CM
,
2
0
0
7
.
[5
]
Hw
a
n
g
,
S
o
o
n
w
o
o
k
,
a
n
d
Ca
rl
Ke
ss
e
l
m
a
n
.
Gr
id
wo
rk
fl
o
w:
a
f
lex
ib
le
fa
il
u
re
h
a
n
d
li
n
g
fr
a
me
wo
rk
fo
r
t
h
e
g
rid
.
I
n
Hig
h
P
e
rf
o
rm
a
n
c
e
Distrib
u
ted
Co
m
p
u
ti
n
g
,
2
0
0
3
.
P
ro
c
e
e
d
in
g
s.
1
2
th
I
EE
E
In
tern
a
ti
o
n
a
l
S
y
m
p
o
siu
m
o
n
,
p
p
.
1
2
6
-
1
3
7
.
IEE
E,
2
0
0
3
.
[6
]
M
a
li
m
,
M
.
R.
(2
0
1
2
).
Lectu
r
e
ti
m
etab
li
n
g
u
s
i
n
g
i
m
m
u
n
e
-
b
ase
d
alg
o
r
ith
m
s
.
JI
R
K
M|
Jo
u
r
n
a
l
o
f
I
n
fo
r
ma
tio
n
R
etri
ev
a
l a
n
d
K
n
o
w
led
g
e
Ma
n
a
g
eme
n
t
.
[7
]
Ra
h
im
,
S
.
K.
N.
A
.
,
Ba
rg
iela
,
A
.
,
&
Qu
,
R.
(2
0
1
3
).
A
n
a
lys
is
o
f
Ba
c
k
tra
c
k
in
g
in
U
n
ive
rs
it
y
Exa
min
a
ti
o
n
S
c
h
e
d
u
li
n
g
.
In
ECM
S
(p
p
.
7
8
2
-
7
8
7
)
.
[8
]
E.
,
S
a
u
le,
E.
,
&
T
ry
str
a
m
,
D.
(2
0
1
2
).
Op
ti
mizin
g
p
e
rfo
rm
a
n
c
e
a
n
d
re
li
a
b
il
it
y
o
n
h
e
ter
o
g
e
n
e
o
u
s
p
a
r
a
l
lel
sy
ste
ms
:
Ap
p
ro
x
im
a
ti
o
n
a
lg
o
rit
h
ms
a
n
d
h
e
u
ristics
.
Jo
u
r
n
a
l
o
f
P
a
ra
ll
e
l
a
n
d
D
istri
b
u
te
d
c
o
m
p
u
ti
n
g
,
7
2
(2
),
2
6
8
-
2
8
0
.
[9
]
Is
m
a
il
,
A
.
,
Ya
n
,
J.,
&
S
h
e
n
,
J.
(2
0
1
3
).
I
n
c
re
me
n
ta
l
se
rv
ice
le
v
e
l
a
g
re
e
me
n
ts
v
io
la
ti
o
n
h
a
n
d
li
n
g
w
it
h
ti
me
imp
a
c
t
a
n
a
lys
is
.
Jo
u
r
n
a
l
o
f
S
y
s
te
m
s an
d
S
o
f
tw
a
r
e
,
8
6
(6
)
,
1
5
3
0
-
1
5
4
4
.
[1
0
]
W
o
rk
f
lo
w
M
a
n
a
g
e
m
e
n
t
Co
a
li
ti
o
n
(W
f
M
C)
Re
tri
e
v
e
d
f
ro
m
UR
L
h
tt
p
:/
/w
ww
.
wfm
c
.
o
rg
[1
1
]
Is
m
a
il
,
A
.
,
&
Ca
rd
e
ll
in
i,
V
.
(2
0
1
3
,
De
c
e
m
b
e
r).
T
o
wa
rd
s
se
lf
-
a
d
a
p
t
a
ti
o
n
p
l
a
n
n
in
g
fo
r
c
o
mp
le
x
se
r
v
ice
-
b
a
se
d
sy
ste
ms
.
In
In
tern
a
ti
o
n
a
l
C
o
n
f
e
re
n
c
e
o
n
S
e
rv
ice
-
Orie
n
ted
Co
m
p
u
ti
n
g
(p
p
.
4
3
2
-
4
4
4
).
S
p
ri
n
g
e
r,
Ch
a
m
.
[1
2
]
A
z
i
z
,
M
.
A
.
,
A
b
a
w
a
j
y
,
J.
a
n
d
He
ra
wa
n
,
T
.
L
a
y
e
re
d
wo
rk
fl
o
w
sc
h
e
d
u
li
n
g
a
l
g
o
rit
h
m
.
F
u
z
z
y
S
y
ste
m
s
(F
UZZ
-
IEE
E)
,
2
0
1
5
IE
EE
I
n
tern
a
ti
o
n
a
l
C
o
n
f
e
re
n
c
e
o
n
.
IEE
E,
2
0
1
5
.
[1
3
]
A
z
i
z
,
M
.
A
.
,
A
b
a
w
a
j
y
,
J.,
Isla
m
,
R.
,
&
He
ra
w
a
n
,
T
.
W
o
rk
fl
o
w
sc
h
e
d
u
li
n
g
o
n
d
istri
b
u
ted
sy
ste
ms
.
In
d
u
strial
El
e
c
tro
n
ics
a
n
d
A
p
p
li
c
a
ti
o
n
s (ICI
EA
),
2
0
1
5
IEE
E
1
0
th
C
o
n
f
e
re
n
c
e
o
n
IEE
E,
2
0
1
5
.
85
107
100
93
0
20
40
60
80
1
0
0
1
2
0
N
o
F
a
i
l
u
r
e
S
c
e
n
a
r
i
o
1
S
c
e
n
a
r
i
o
2
S
c
e
n
a
r
i
o
3
T
i
m
e
(
M
i
n
u
t
e
s)
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