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I
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2
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2
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3221
C
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p
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Sci.
I
n
f
.
T
ec
h
n
o
l.
,
Vo
l.
2
,
No
.
1
,
Ma
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2
0
2
1
:
1
–
10
2
r
esp
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s
e
to
em
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c
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[
5
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.
A
n
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ev
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s
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I
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[
6
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d
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tr
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7
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[
8
]
.
T
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io
u
s
l
y
s
tated
co
n
d
itio
n
s
m
a
k
e
it
clea
r
th
at
d
is
aster
tr
af
f
ic
m
an
a
g
e
m
en
t
in
t
h
e
f
o
r
m
o
f
tr
af
f
ic
m
a
n
ag
e
m
e
n
t
d
u
r
i
n
g
a
d
is
aster
is
a
n
ec
e
s
s
i
t
y
a
n
d
th
er
e
ar
e
s
ev
er
al
tr
af
f
ic
m
a
n
a
g
e
m
e
n
t
s
tr
ateg
ie
s
th
at
ca
n
b
e
u
s
ed
[
9
]
.
T
h
e
m
o
s
t
co
m
m
o
n
l
y
u
s
ed
ev
ac
u
atio
n
s
tr
ate
g
y
f
o
r
tr
af
f
ic
m
an
ag
e
m
e
n
t
is
th
e
u
s
e
o
f
Sh
o
u
ld
er
-
L
a
n
e,
co
n
tr
af
lo
w
i
n
g
tr
a
f
f
ic
an
d
g
r
ad
u
al
ev
ac
u
atio
n
[
6
]
.
I
n
[
1
0
]
Sh
o
u
ld
er
-
L
an
e
li
n
e
is
u
s
ed
to
ac
co
m
m
o
d
ate
tr
af
f
ic
s
p
ik
es
i
n
e
m
er
g
en
c
y
ev
ac
u
ati
o
n
p
lan
s
.
T
h
e
y
d
ev
elo
p
u
r
b
an
an
d
r
u
r
al
p
lan
s
,
ea
ch
o
p
er
atin
g
w
i
th
a
S
h
o
u
ld
er
-
L
a
n
e
ev
ac
u
atio
n
p
ath
.
w
i
th
s
o
m
e
d
r
a
w
b
ac
k
s
in
i
ts
ap
p
licatio
n
.
C
o
n
tr
a
-
f
lo
w
h
as
b
ee
n
co
m
m
o
n
l
y
u
s
ed
i
n
tr
a
f
f
ic
m
an
a
g
e
m
e
n
t
b
y
c
h
an
g
i
n
g
tr
af
f
ic
lan
es
d
u
r
in
g
p
ea
k
[
1
1
]
.
C
u
r
r
en
t
co
n
tr
a
-
f
lo
w
tech
n
iq
u
e
s
ar
e
lik
e
o
n
e
-
la
n
e,
t
w
o
-
lan
e,
an
d
all
-
lan
e
co
n
tr
a
-
f
lo
w
.
I
n
g
en
er
al,
th
e
i
m
p
le
m
en
tatio
n
o
f
co
n
tr
a
-
f
lo
w
d
u
r
i
n
g
th
e
e
v
ac
u
atio
n
p
r
o
ce
s
s
is
to
r
ev
er
s
e
all
in
-
b
o
u
n
d
la
n
es
i
n
to
o
u
t
b
o
u
n
d
lan
e
s
.
T
h
e
o
u
tb
o
u
n
d
l
in
e
is
a
g
e
n
er
all
y
b
u
s
y
li
n
e,
an
d
t
h
e
in
-
b
o
u
n
d
lin
e
is
a
r
elat
iv
el
y
e
m
p
t
y
li
n
e
o
f
[
1
2
]
.
I
n
th
e
ev
en
t
o
f
a
d
is
a
s
ter
,
th
e
p
o
p
u
latio
n
is
at
r
i
s
k
o
f
b
ein
g
e
v
ac
u
ated
to
s
af
et
y
as
s
o
o
n
as
p
o
s
s
ib
le,
t
h
e
h
ig
h
w
a
y
is
th
e
m
ai
n
m
o
d
e.
E
f
f
ec
tiv
e
tr
af
f
ic
m
an
a
g
e
m
en
t
s
t
r
ateg
ies
ar
e
n
ee
d
ed
to
m
a
n
ag
e
t
h
e
in
cr
ea
s
i
n
g
d
e
m
an
d
f
o
r
r
o
a
d
s
s
ig
n
i
f
ica
n
tl
y
d
u
r
in
g
e
v
ac
u
at
io
n
an
d
co
n
tr
a
-
f
lo
w
s
tr
ate
g
ies.
Un
d
er
th
ese
co
n
d
itio
n
s
th
e
i
n
telli
g
e
n
t
tr
an
s
p
o
r
tatio
n
s
y
s
te
m
s
(
I
T
S)
t
o
o
l c
an
b
e
ap
p
lied
,
s
u
ch
as
m
e
s
s
a
g
e
d
eliv
er
y
an
d
s
tr
ee
t
s
i
g
n
in
g
t
y
p
icall
y
u
s
ed
to
s
u
p
p
o
r
t
th
e
co
n
tr
a
-
f
lo
w
s
tr
ateg
y
[
1
3
]
.
T
h
e
r
esear
ch
co
n
d
u
ct
ed
b
y
Step
h
e
n
[
1
2
]
,
p
r
o
d
u
ce
d
s
ev
er
al
s
ce
n
ar
io
s
t
h
a
t
co
u
ld
b
e
u
s
ed
to
s
u
p
p
o
r
t
th
e
co
n
tr
a
-
f
lo
w
s
tr
ate
g
y
,
p
ar
tic
u
la
r
l
y
in
r
elat
io
n
to
t
h
e
u
tili
za
t
io
n
o
f
t
h
e
in
-
b
o
u
n
d
an
d
o
u
t
-
b
o
u
n
d
p
ath
s
.
E
x
i
s
ti
n
g
p
r
o
b
le
m
s
w
il
l
b
ec
o
m
e
m
o
r
e
d
if
f
i
cu
lt
w
h
en
t
h
er
e
ar
e
s
ev
er
al
o
u
t
-
b
o
u
n
d
p
ath
s
lead
in
g
to
th
e
s
a
m
e
p
ath
,
w
h
ic
h
w
ill ce
r
tain
l
y
lead
to
co
n
g
esti
o
n
w
h
en
t
h
e
ev
ac
u
at
io
n
p
r
o
ce
s
s
.
E
x
is
tin
g
is
s
u
e
s
w
ill
b
e
m
o
r
e
d
if
f
icu
lt
w
h
e
n
th
er
e
ar
e
s
ev
er
al
o
u
t
-
b
o
u
n
d
p
ath
s
lead
i
n
g
to
th
e
s
a
m
e
p
ath
,
w
h
ic
h
w
ill
ce
r
tai
n
l
y
lead
to
co
n
g
e
s
tio
n
w
h
e
n
th
e
e
v
ac
u
a
tio
n
p
r
o
ce
s
s
s
h
o
u
ld
b
e
d
o
n
e
as
s
o
o
n
as
p
o
s
s
ib
le
[
1
4
]
.
T
h
e
d
ev
elo
p
m
en
t
o
f
r
ea
l
-
ti
m
e
ev
ac
u
atio
n
m
o
d
el
is
v
er
y
i
m
p
o
r
ta
n
t
b
ec
au
s
e
in
d
i
v
id
u
a
l
b
eh
av
io
r
ca
n
n
o
t
b
e
ass
u
m
ed
to
r
ep
licate
f
r
o
m
p
r
e
v
io
u
s
tr
av
el
p
atter
n
s
[
1
5
]
.
R
esear
ch
co
n
d
u
c
ted
b
y
[
1
6
]
tr
ies
to
o
v
er
co
m
e
th
is
co
n
g
es
tio
n
p
r
o
b
le
m
b
y
ca
lcu
la
tin
g
th
e
le
v
el
o
f
co
n
g
e
s
tio
n
a
n
d
m
ap
p
in
g
ca
p
ac
it
y
o
f
t
h
e
ev
a
cu
atio
n
p
at
h
.
A
cc
o
r
d
in
g
to
[
1
7
]
,
to
im
p
le
m
en
t
co
n
tr
a
-
f
lo
w
o
p
er
atio
n
s
,
th
er
e
ar
e
tw
o
m
ai
n
p
r
o
b
lem
s
th
at
m
u
s
t
b
e
d
ec
id
ed
,
n
a
m
el
y
o
p
ti
m
a
l c
o
n
tr
af
lo
w
la
n
e
co
n
f
i
g
u
r
atio
n
p
r
o
b
le
m
(
O
C
L
C
P
)
an
d
o
p
ti
m
al
co
n
tr
af
lo
w
s
c
h
ed
u
lin
g
p
r
o
b
lem
(
OC
SP
)
.
OC
L
C
P
ai
m
s
to
d
eter
m
i
n
e
t
h
e
ca
n
d
id
ate
o
f
a
r
ed
ir
ec
ted
p
ath
to
m
i
n
i
m
ize
tr
af
f
ic
t
h
r
es
h
o
ld
an
d
OC
SP
ai
m
s
to
d
eter
m
i
n
e
t
h
e
s
tar
t
ti
m
e
an
d
d
u
r
atio
n
o
f
t
h
e
o
p
er
atio
n
.
T
h
e
f
ir
s
t
r
esear
ch
o
n
OC
SP
m
ap
p
in
g
h
as
b
ee
n
d
o
n
e
b
y
[
1
8
]
,
w
h
ic
h
s
u
g
g
est
s
th
at
th
er
e
ar
e
t
w
o
ap
p
r
o
ac
h
es
th
at
ca
n
b
e
u
s
ed
:
z
o
n
e
s
ch
ed
u
li
n
g
an
d
f
lo
w
s
c
h
ed
u
li
n
g
.
I
n
zo
n
e
s
c
h
e
d
u
lin
g
,
zo
n
e
s
et
tin
g
s
ar
e
b
ased
o
n
i
m
p
o
r
tan
ce
.
Z
o
n
es c
a
n
b
e
s
et
s
o
th
at
a
zo
n
e
i
s
o
n
l
y
n
o
t
al
lo
w
ed
to
b
e
ev
ac
u
at
ed
u
n
t
il
a
f
o
cu
s
ed
zo
n
e
h
as
b
ee
n
e
v
ac
u
ated
o
r
e
v
ac
u
a
tio
n
t
i
m
e
o
f
ea
ch
zo
n
e
ca
n
b
e
s
et
b
y
ti
m
e.
O
n
th
e
o
th
er
h
an
d
,
f
lo
w
s
c
h
ed
u
lin
g
is
a
s
ch
ed
u
lin
g
p
r
o
ce
s
s
b
ased
o
n
th
e
av
ailab
ili
t
y
o
f
ev
ac
u
at
io
n
f
ac
ilit
ies
(
v
eh
ica
le
-
b
ased
)
[
1
9
]
.
T
h
e
p
r
o
b
lem
s
o
f
co
n
tr
a
-
f
lo
w
a
n
d
zo
n
e
s
c
h
ed
u
lin
g
ar
e
es
s
en
tia
ll
y
e
m
er
g
e
n
ce
ev
ac
u
atio
n
r
o
u
te
p
lan
n
i
n
g
[
2
0
]
2.
RE
S
E
ARCH
M
E
T
H
O
D
R
o
u
te
p
la
n
n
i
n
g
is
a
co
m
m
o
n
p
r
o
ce
s
s
o
f
co
m
m
u
n
it
y
m
o
v
e
m
en
t
i
n
d
is
aster
ar
ea
s
to
s
af
e
ar
ea
s
i
n
e
m
er
g
e
n
c
y
s
it
u
atio
n
s
.
T
h
is
is
s
u
e
ca
n
b
e
f
o
r
m
u
lated
as
f
o
llo
w
s
.
Su
p
p
o
s
e
Gra
p
h
G
(
N
,
A
)
p
r
esen
ts
a
n
et
w
o
r
k
r
ep
r
esen
tin
g
t
h
e
i
n
te
n
d
ed
ar
ea
,
w
h
ic
h
co
n
s
is
t
s
o
f
r
o
ad
s
,
r
u
r
a
l
r
o
ad
s
,
an
d
to
g
eth
er
w
i
th
in
te
r
s
ec
tio
n
s
.
A
is
a
s
et
o
f
ar
cs th
at
r
ep
r
esen
t r
o
ad
s
an
d
ar
ter
ial
r
o
a
d
s
.
T
h
e
s
et
o
f
N
n
o
d
es is
d
iv
id
ed
in
to
th
r
ee
s
u
b
s
ets,
n
a
m
el
y
:
So
u
r
ce
n
o
d
e
(
in
itial e
v
ac
u
a
tio
n
)
d
en
o
ted
b
y
NS
T
h
e
tr
an
s
f
er
n
o
d
e
o
r
th
e
in
ter
m
ed
iate
n
o
d
e
d
en
o
ted
b
y
NT
,
an
d
T
h
e
f
in
al
n
o
d
e
(
o
r
s
ec
u
r
e
d
esti
n
atio
n
)
d
en
o
ted
b
y
t
h
e
ND
S
o
,
N
=
NS
NT
ND
(
1
)
T
h
e
in
ter
m
ed
iate
n
o
d
e
p
r
esen
ts
w
h
er
e
th
e
ev
ac
u
a
tio
n
f
lo
w
is
co
llected
(
m
er
g
ed
)
o
r
cr
o
s
s
ed
(
cr
o
s
s
in
g
)
.
E
ac
h
ar
c
i
n
A
is
e
x
p
r
ess
ed
a
s
an
a
r
c
(
i,
j
)
,
w
h
ich
is
an
ar
c
co
n
n
ec
t
in
g
n
o
d
es
i
a
n
d
j
.
T
h
is
is
ca
lled
a
s
tatic
n
et
w
o
r
k
b
ec
au
s
e
ev
er
y
ar
c
in
t
h
e
n
et
w
o
r
k
p
r
esen
t
s
o
n
l
y
a
s
tat
io
n
ar
y
r
elatio
n
s
h
ip
f
r
o
m
o
n
e
n
o
d
e
to
an
o
th
er
n
o
d
e
in
th
e
n
et
w
o
r
k
.
X
∈
N
i
s
th
e
s
e
t o
f
n
o
d
es th
at
r
ep
r
ese
n
t th
e
lo
ca
tio
n
s
o
cc
u
p
ied
b
y
t
h
e
ev
ac
u
ated
.
W
ith
r
esp
ec
t
to
ea
ch
ar
c
an
d
n
o
d
e
th
er
e
ar
e
p
ar
am
eter
s
.
E
ac
h
n
o
d
e
k
p
r
esen
t
s
th
e
lo
ca
t
io
n
in
t
h
e
n
et
w
o
r
k
w
it
h
th
e
in
i
tial
p
o
p
u
latio
n
p
k
an
d
v
k
ca
p
ac
ity
.
Fo
r
ea
ch
a
r
c
(
i,
j)
,
g
iv
e
n
th
e
ca
p
ac
i
t
y
o
f
c
ij
,
w
h
er
e
(
i,
j
)
Evaluation Warning : The document was created with Spire.PDF for Python.
C
o
m
p
u
t.
Sci.
I
n
f
.
T
ec
h
n
o
l.
Mo
d
el
o
f e
merg
en
ce
ev
a
c
u
a
ti
o
n
r
o
u
te
p
l
a
n
n
in
g
w
ith
co
n
tr
a
flo
w
a
n
d
z
o
n
e
… (
Ded
y
Ha
r
ta
ma
)
3
∈
A
.
T
h
e
ca
p
ac
it
y
o
f
an
ar
c
is
th
e
n
u
m
b
er
o
f
cu
r
r
en
ts
p
er
u
n
i
t
o
f
ti
m
e,
a
s
s
u
m
in
g
n
o
co
n
g
es
tio
n
o
cc
u
r
s
.
I
n
t
h
e
ca
s
e
o
f
a
lan
e
-
b
ased
r
o
ad
n
etw
o
r
k
,
ca
p
ac
it
y
i
s
th
e
n
u
m
b
er
o
f
v
e
h
icles
p
er
h
o
u
r
p
er
lin
e.
Fo
r
ea
ch
ar
c,
tr
av
el
ti
m
e
τ
ij
,
w
h
er
e
a
r
c
(
i,
j)
∈
A
.
Her
e
it
is
ass
u
m
ed
th
at
τ
ij
is
c
o
n
s
ta
n
t
an
d
is
th
e
a
v
er
ag
e
v
el
o
cit
y
f
o
r
th
e
a
r
c
(
i,
j)
w
h
e
n
th
e
f
r
ee
ar
c
(
e
m
p
t
y
)
o
f
e
v
ac
u
at
io
n
.
T
h
is
p
ar
a
m
eter
i
s
al
w
a
y
s
r
e
f
er
r
ed
to
as
f
r
ee
f
lo
w
v
elo
cit
y
o
r
lead
ti
m
e
f
o
r
a
r
cs
(
i,
j
)
.
T
h
e
x
ijt
v
ar
iab
le
is
th
e
n
u
m
b
er
o
f
e
v
ac
u
a
tio
n
s
(
p
eo
p
le)
m
o
v
i
n
g
f
r
o
m
n
o
d
e
i
at
th
e
b
eg
i
n
n
in
g
o
f
th
e
p
er
io
d
to
n
o
d
e
j
at
th
e
en
d
o
f
th
e
p
er
io
d
.
T
h
e
o
b
j
ec
tiv
e
is
to
m
a
x
i
m
ize
th
e
n
u
m
b
er
o
f
p
eo
p
le
co
m
in
g
o
u
t o
f
th
e
d
is
aster
s
o
u
r
ce
n
o
d
e
to
th
e
d
esti
n
atio
n
as q
u
ic
k
l
y
a
s
p
o
s
s
ib
le.
T
h
e
lo
w
er
li
m
it a
t t
h
e
ti
m
e
o
f
co
m
p
let
io
n
o
f
e
v
ac
u
at
io
n
i
n
th
e
n
et
w
o
r
k
is
t
h
e
n
u
m
b
er
o
f
ar
cs o
f
g
r
ac
e
p
er
io
d
s
tar
tin
g
f
r
o
m
th
e
n
ea
r
e
s
t
n
o
d
e
at
th
e
s
o
u
r
ce
o
f
th
e
d
is
aster
to
th
e
d
esti
n
atio
n
n
o
d
e
w
it
h
th
e
f
u
r
t
h
est
f
r
o
m
th
e
s
o
u
r
ce
o
f
t
h
e
d
is
aster
.
I
f
n
o
d
e
1
is
th
e
s
o
u
r
ce
n
o
d
e
th
at
co
n
n
ec
ts
all
n
ea
r
b
y
n
o
d
es
to
th
e
s
o
u
r
ce
o
f
t
h
e
d
is
a
s
ter
an
d
No
d
e
N
is
th
e
f
u
r
t
h
est d
es
tin
atio
n
n
o
d
e,
th
e
lo
w
er
li
m
it
ca
n
b
e
ca
lcu
lated
b
y
1
,
=
∑
,
∀
,
,
ℎ
≠
,
∈
(
2
)
I
n
p
ar
ticu
lar
,
th
e
ar
c
ca
p
ac
ity
,
w
h
ic
h
r
ep
r
esen
ts
th
e
n
u
m
b
er
o
f
ev
ac
u
a
te
p
er
s
o
n
s
w
h
o
ca
n
p
a
s
s
th
r
o
u
g
h
an
ar
c
p
e
r
u
n
it
o
f
ti
m
e,
is
al
w
a
y
s
ass
u
m
ed
to
b
e
co
n
s
tan
t.
Ho
w
e
v
er
,
in
r
ea
lis
tic
ter
m
s
,
th
e
ar
c
ca
p
ac
ity
is
n
o
t
co
n
s
ta
n
t.
I
n
f
ac
t,
t
h
e
ca
p
ac
it
y
o
f
a
g
iv
e
n
ar
c
is
a
f
u
n
ctio
n
o
f
t
h
e
n
u
m
b
er
o
f
e
n
titi
e
s
p
r
esen
t i
n
th
e
ar
c
at
a
g
i
v
e
n
ti
m
e.
I
n
cl
u
d
in
g
f
lo
w
-
d
ep
en
d
e
n
t
ca
p
ac
it
y
to
ch
a
n
g
e
t
h
e
n
et
w
o
r
k
f
lo
w
p
r
o
b
le
m
b
ec
o
m
es
a
n
et
w
o
r
k
f
lo
w
i
s
s
u
e
w
it
h
ad
d
itio
n
al
co
n
s
tr
ai
n
ts
.
Fo
r
s
in
g
le
f
lo
w
p
r
o
b
le
m
s
w
it
h
co
u
n
ter
c
u
r
r
en
t
co
u
n
ter
-
c
u
r
r
en
t
s
,
th
e
m
o
d
el
f
o
r
t
h
e
b
asic
p
r
o
b
lem
is
m
o
d
if
ied
to
f
i
n
d
th
e
r
ec
o
n
f
i
g
u
r
atio
n
n
et
wo
r
k
an
d
id
en
ti
f
y
th
e
b
est
d
ir
ec
tio
n
f
o
r
ea
ch
ar
c
i
n
o
r
d
er
to
m
a
x
i
m
ize
t
h
e
e
v
ac
u
atio
n
f
lo
w
o
u
t
o
f
th
e
n
e
t
w
o
r
k
.
T
h
e
p
r
o
p
o
s
ed
m
o
d
el
r
e
v
er
s
es
t
h
e
tr
ip
ar
c
a
n
d
r
elo
ca
tes av
ailab
le
ar
c
ca
p
ac
ity
.
P
ar
am
eter
:
T
:
T
o
tal
n
u
m
b
er
o
f
p
er
io
d
s
to
clea
n
th
e
tr
a
n
s
p
o
r
t n
et
w
o
r
k
N
:
T
h
e
to
tal
n
u
m
b
er
o
f
n
o
d
es
in
th
e
tr
a
n
s
p
o
r
t n
et
w
o
r
k
,
N
= |
N
|
0
:
P
o
p
u
latio
n
ev
ac
u
ated
at
n
o
d
e
k
(
k
= 1
,
.
.
.
,
N
)
in
th
e
n
et
w
o
r
k
b
ef
o
r
e
ev
ac
u
a
tio
n
b
eg
i
n
s
: Cap
ac
it
y
n
o
d
e
k
(
k
= 1
,
.
.
.
,
N
-
1)
in
t
h
e
n
et
w
o
r
k
n
: T
h
e
ar
c
ca
p
ac
ity
(
i,
j
)
(
i =
1
,
.
.
.
,
N
;
j =
1
,
.
.
.
,
N
w
ith
i ≠
j)
in
th
e
n
et
w
o
r
k
: T
h
e
f
r
ee
-
f
lo
w
t
i
m
e
i
n
t
h
e
a
r
c
(
i,
j)
(
i =
1
,
.
.
.
,
N
;
j =
1
,
.
.
.
,
N
w
ith
i ≠
j)
i
n
th
e
d
ec
is
io
n
v
ar
ia
b
le
n
et
w
o
r
k
:
E
v
ac
u
atio
n
c
u
r
r
en
t
f
r
o
m
n
o
d
e
i
at
t
h
e
b
eg
in
n
i
n
g
o
f
p
er
io
d
t
(
en
d
o
f
p
er
i
o
d
t
-
1
)
to
n
o
d
e
j
at
t
h
e
e
n
d
o
f
p
er
io
d
t
(
p
er
io
d
s
tar
t
t
+
1
)
;
:
T
h
e
o
p
p
o
s
ite
cu
r
r
en
t
e
v
ac
u
a
ted
f
r
o
m
n
o
d
e
i
at
th
e
b
eg
i
n
n
i
n
g
o
f
p
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io
d
t
to
n
o
d
e
j
at
th
e
en
d
o
f
t
p
er
io
d
,
T
h
is
v
ar
iab
le
is
1
,
if
t
h
e
ev
ac
u
atio
n
f
lo
w
s
n
o
r
m
a
ll
y
d
u
r
in
g
th
e
in
ter
v
al
;
w
o
r
t
h
o
f
0
if
n
o
t
:
P
o
p
u
latio
n
ev
ac
u
ated
at
n
o
d
e
k
(
k
= 1
,
.
.
.
,
N
)
in
th
e
n
et
w
o
r
k
at
th
e
e
n
d
o
f
th
e
p
er
io
d
t
:
T
h
e
am
o
u
n
t e
v
ac
u
ated
clea
r
in
g
t
h
e
n
et
w
o
r
k
at
t
h
e
en
d
o
f
t
h
e
p
er
io
d
t
C
o
n
s
id
er
in
g
t
h
e
s
m
o
o
th
n
es
s
o
f
th
e
C
o
n
tr
a
Flo
w
p
r
o
ce
s
s
,
it c
an
b
e
d
o
n
e
b
y
u
s
i
n
g
(
3
)
an
d
(
4
)
.
≥
1
∀
,
=
1
,
…
.
,
;
<
;
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(
3
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≥
0
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,
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…
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,
;
<
;
∀
=
1
,
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(
4
)
(
3
)
S
h
o
w
s
t
h
at
t
h
e
C
o
n
tr
a
Flo
w
p
r
o
ce
s
s
r
u
n
s
n
o
r
m
al
l
y
a
n
d
(
4
)
in
d
icate
s
th
at
t
h
e
C
o
n
tr
a
Fl
o
w
p
r
o
ce
s
s
is
n
o
t
r
u
n
n
i
n
g
n
o
r
m
all
y
.
I
n
r
ela
tio
n
to
(
3
)
an
d
(
4
)
th
en
th
e
p
r
o
b
le
m
o
f
a
s
in
g
le
f
lo
w
w
it
h
co
u
n
ter
cu
r
r
en
t
co
u
n
ter
-
cu
r
r
en
ts
ca
n
b
e
s
ee
n
i
n
.
=
∑
(
+
1
−
)
=
1
(
5
)
=
∑
−
1
=
1
+
∑
−
1
=
1
∀
=
1
,
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(6
)
1
=
0
−
∑
1
=
1
+
∑
1
=
1
∀
=
1
,
…
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,
−
1
(
7
)
=
(
−
1
)
−
∑
+
∑
(
−
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+
=
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1
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−
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(
−
)
=
1
=
1
∀
=
1
,
.
,
;
>
1
(
8
)
≤
∀
=
1
,
…
,
;
∀
=
1
,
…
,
(
9
)
∑
∑
=
1
=
1
≤
∀
,
=
1
,
…
.
,
;
≠
(
1
0
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
7
2
2
-
3221
C
o
m
p
u
t.
Sci.
I
n
f
.
T
ec
h
n
o
l.
,
Vo
l.
2
,
No
.
1
,
Ma
r
ch
2
0
2
1
:
1
–
10
4
∑
∑
=
1
=
1
≤
(
1
−
)
∀
,
=
1
,
…
.
,
;
≠
(
1
1
)
≥
0
,
;
∀
,
=
1
,
…
.
,
;
≠
;
∀
=
1
,
…
,
(
1
2
)
≥
0
∀
=
1
,
…
,
(
1
3
)
=
{
0
,
1
}
∀
,
=
1
,
…
.
,
;
≠
;
∀
=
1
,
…
,
(
1
4
)
3.
RE
SU
L
T
S AN
D
D
I
SCU
SS
I
O
N
I
n
th
e
ev
ac
u
atio
n
p
r
o
ce
s
s
s
h
o
u
ld
b
e
ab
le
to
m
i
n
i
m
ize
th
e
d
e
la
y
an
d
m
a
x
i
m
ize
th
e
p
eo
p
le
w
h
o
ca
n
b
e
ev
ac
u
ated
.
C
o
n
tr
a
-
f
lo
w
p
er
f
o
r
m
an
ce
m
ea
s
u
r
e
m
e
n
ts
w
er
e
p
e
r
f
o
r
m
ed
in
t
h
e
f
o
r
m
o
f
m
a
x
i
m
izin
g
th
e
n
u
m
b
er
o
f
ev
ac
u
ated
p
o
p
u
latio
n
s
f
r
o
m
a
d
is
aster
s
ite
f
o
r
t
h
e
s
a
m
e
ti
m
e
p
er
io
d
co
m
p
ar
ed
to
th
e
ab
s
en
ce
o
f
co
n
tr
a
-
f
lo
w
.
T
h
e
d
ata
s
o
u
r
ce
f
o
r
th
e
ev
ac
u
atio
n
p
r
o
b
le
m
to
b
e
u
s
ed
i
n
th
is
s
tu
d
y
is
t
h
e
N
u
clea
r
P
o
w
er
P
lan
t
A
r
ea
i
n
Mo
n
ticello
,
Mi
n
n
e
s
o
ta.
Data
in
Mo
n
ticello
,
Min
n
e
s
o
ta
t
h
e
d
ataset
its
el
f
w
a
s
co
llected
b
y
[
2
1
]
.
Min
n
eso
ta
Data
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I
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RE
F
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NC
E
S
[1
]
Ca
ra
g
li
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,
A
.
,
C.
D.
Bo
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a
n
d
P
.
Ni
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.
[2
]
M
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S
.
P
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Cit
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c
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5
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3
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.
[3
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Ristv
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“
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S
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1
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2
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7
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.
[4
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Ce
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o
f
Re
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a
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S
c
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e
.
“
S
m
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