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3
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4551
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p
r
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h
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z
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s
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d
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o
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t
i
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i
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i
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s
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h
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e
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T
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[
4
]
.
An
ec
o
n
o
m
ic
en
v
ir
o
n
m
e
n
tal
d
is
p
atch
(
E
E
D)
p
r
o
b
lem
o
f
s
o
lar
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w
in
d
-
h
y
d
r
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-
t
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m
a
l
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en
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h
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atter
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g
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lv
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n
[
5
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b
y
u
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in
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-
d
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m
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ated
s
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tin
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ith
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-
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s
to
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o
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atch
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d
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s
p
atch
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g
p
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b
lem
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s
p
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p
o
s
ed
in
[
6
]
.
T
h
e
o
b
j
ec
tiv
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o
f
r
ef
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en
ce
[
7
]
is
to
p
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th
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i
m
p
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t
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s
y
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D
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ased
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ed
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[
8
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.
T
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ad
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f
s
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n
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m
ical
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9
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A
m
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in
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1
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R
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[
1
1
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T
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tio
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R
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s
s
u
c
h
as
w
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n
d
a
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d
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s
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e
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B
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e.
T
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e,
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e
SO
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m
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k
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I
n
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es,
i.e
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,
o
p
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m
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o
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ti
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ized
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s
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m
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p
ar
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s
w
ar
m
o
p
tim
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(
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-
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SO
)
alg
o
r
ith
m
.
T
h
e
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f
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ti
v
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s
o
f
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a
p
p
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h
h
as
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ee
n
test
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o
n
s
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x
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n
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test
s
y
s
te
m
.
2.
P
RO
B
L
E
M
F
O
R
M
UL
AT
I
O
N
O
F
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E
D
2
.
1
.
E
co
no
m
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di
s
pa
t
ch
(
E
D)
o
bje
ct
iv
e
T
h
e
E
D
o
b
j
ec
tiv
e
co
n
s
id
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ed
in
t
h
is
w
o
r
k
i
s
th
e
o
p
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g
c
o
s
t
(
OC
)
,
an
d
it
co
n
s
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s
ts
o
f
co
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ts
d
u
e
to
co
n
v
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n
tio
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al
t
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m
al,
w
i
n
d
a
n
d
s
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lar
P
V
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r
s
,
a
n
d
al
s
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co
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o
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d
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m
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s
.
T
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E
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b
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1
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m
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First
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s
p
o
w
er
ca
n
b
e
ex
p
r
ess
es a
s
,
,
(
−
)
=
,
(
−
)
=
,
∫
(
−
)
,
(
)
(8
)
L
ast
ter
m
i
s
o
v
er
-
e
s
ti
m
atio
n
co
s
t
f
u
n
ct
io
n
o
f
s
o
lar
P
V
p
o
w
er
,
w
h
ich
i
s
d
u
e
to
av
ai
lab
le
s
o
lar
P
V
p
o
w
er
is
les
s
th
a
n
s
c
h
ed
u
led
o
n
e.
T
h
is
co
s
t f
u
n
ctio
n
ca
n
b
e
ex
p
r
ess
ed
u
s
in
g
,
,
(
−
)
=
,
(
−
)
=
,
∫
(
−
)
0
(
)
(9
)
2
.
2
.
E
m
i
s
s
io
n
d
is
pa
t
ch
o
bje
ct
iv
e
H
e
r
e
,
t
h
e
em
i
s
s
i
o
n
d
u
e
t
o
n
i
t
r
o
g
e
n
o
x
i
d
e
s
,
c
a
r
b
o
n
o
x
i
d
e
s
a
n
d
s
u
l
f
u
r
o
x
i
d
e
s
i
s
c
o
n
s
i
d
e
r
e
d
,
a
n
d
t
h
e
o
b
j
e
c
t
i
v
e
f
u
n
c
t
i
o
n
i
s
f
o
r
m
u
l
a
t
e
d
a
s
m
i
n
i
m
i
z
a
t
i
o
n
o
f
t
o
t
a
l
e
m
i
s
s
i
o
n
r
e
l
e
a
s
e
(
E
)
.
I
t
c
a
n
b
e
e
x
p
r
e
s
s
e
d
a
s
[
1
5
]
,
m
i
n
i
m
ize,
=
∑
(
+
+
2
)
=
1
(
1
0
)
2
.
3
.
Co
ns
t
ra
ints
T
h
e
p
r
o
p
o
s
ed
o
p
tim
iza
tio
n
p
r
o
b
lem
i
s
s
o
lv
ed
b
y
t
h
e
f
o
llo
w
i
n
g
eq
u
alit
y
a
n
d
in
eq
u
alit
y
co
n
s
tr
ain
t
s
.
2
.
3
.
1
.
P
o
w
er
ba
la
nce
co
ns
t
ra
int
T
h
is
co
n
s
tr
ain
t c
an
b
e
ex
p
r
ess
ed
u
s
in
g
[
1
6
]
,
=
∑
(
+
+
2
)
=
1
(
1
1
)
T
h
e
p
o
w
er
o
u
tp
u
t
f
r
o
m
w
i
n
d
e
n
er
g
y
g
e
n
er
ato
r
s
ca
n
b
e
ex
p
r
e
s
s
ed
as,
0
≤
≤
(
1
2
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2088
-
8708
I
n
t J
E
lec
&
C
o
m
p
E
n
g
,
Vo
l.
1
0
,
No
.
5
,
Octo
b
e
r
2
0
2
0
:
4
5
4
3
-
4551
4546
T
h
e
p
o
w
er
o
u
tp
u
t
f
r
o
m
s
o
lar
P
V
g
en
er
ato
r
s
ca
n
b
e
ex
p
r
ess
e
d
as,
0
≤
≤
(
13
)
2
.
3
.
2
.
P
o
w
er
g
ener
a
t
io
n
co
ns
t
ra
ints
T
h
e
co
n
v
en
tio
n
al
th
er
m
al
p
o
w
er
g
en
er
atio
n
l
i
m
it
s
b
y
in
c
l
u
d
in
g
t
h
e
r
a
m
p
r
ate
li
m
its
[
1
7
]
ca
n
b
e
ex
p
r
ess
ed
as,
(
,
0
−
)
≤
≤
(
,
0
+
)
(
14
)
2
.
3
.
3
.
E
f
f
ec
t
s
o
f
P
O
Z
s
T
o
av
o
id
th
e
p
r
o
h
ib
ited
zo
n
e
o
f
o
p
er
atio
n
,
th
e
p
o
w
er
o
u
t
p
u
t
o
f
co
n
v
e
n
tio
n
al
t
h
er
m
al
g
en
er
ati
n
g
u
n
i
ts
i
s
ad
j
u
s
ted
d
ep
en
d
in
g
u
p
o
n
th
e
lo
ad
in
g
co
n
d
itio
n
s
.
Ma
th
e
m
atica
ll
y
,
t
h
e
P
OZ
s
o
f
a
th
er
m
al
g
en
er
ato
r
ca
n
b
e
ex
p
r
ess
ed
as [
1
8
]
,
∈
{
≤
≤
,
1
,
−
1
≤
≤
,
(
=
2
,
…
,
)
,
≤
≤
(
15
)
3.
M
O
DE
L
I
N
G
O
F
WI
ND
AN
D
SO
L
AR
P
V
SY
ST
E
M
S
3
.
1
.
M
o
delin
g
o
f
w
ind
s
peed
a
nd
po
w
er
dis
t
ributio
n
No
w
ad
a
y
s
,
m
o
s
t
a
tten
tio
n
h
a
s
b
ee
n
f
o
c
u
s
ed
o
n
t
h
e
p
r
o
b
ab
ilit
y
d
i
s
tr
ib
u
tio
n
f
u
n
ctio
n
s
(
P
DFs
)
f
o
r
w
i
n
d
en
er
g
y
ap
p
licatio
n
s
b
ec
au
s
e
o
f
it
s
g
r
ea
ter
f
le
x
ib
ilit
y
an
d
s
i
m
p
lic
it
y
.
I
n
t
h
is
w
o
r
k
,
t
h
e
W
eib
u
ll
P
DF
is
u
s
ed
f
o
r
m
o
d
eli
n
g
t
h
e
w
i
n
d
s
p
ee
d
,
w
h
ic
h
i
s
t
h
en
,
tr
an
s
f
o
r
m
ed
to
w
i
n
d
p
o
w
er
d
i
s
tr
ib
u
tio
n
to
u
tili
ze
it
in
p
r
o
p
o
s
ed
E
E
D
m
o
d
el.
T
h
e
p
o
w
e
r
o
u
t
p
u
t
f
r
o
m
w
i
n
d
g
e
n
e
r
a
t
o
r
c
a
n
b
e
e
x
p
r
e
s
s
e
d
b
y
t
h
e
f
o
l
l
o
w
i
n
g
e
q
u
a
t
i
o
n
s
[
1
2
]
,
=
0
,
<
>
(
16
)
=
∗
(
−
)
(
−
)
,
≤
≤
(
17
)
=
,
≤
≤
(
18
)
Th
e
w
in
d
p
o
w
er
ca
n
b
e
m
o
d
eled
as
a
co
n
tin
u
o
u
s
d
i
s
tr
ib
u
ti
o
n
f
u
n
ct
io
n
w
it
h
W
eib
u
ll
P
D
F,
an
d
it
is
ex
p
r
ess
ed
as
[
1
9
,
2
0
]
,
(
)
=
(
−
)
∗
[
+
(
−
)
−
1
]
[
−
[
+
(
−
)
]
]
(
1
9
)
3
.
2
.
M
o
delin
g
o
f
s
o
la
r
P
V
s
y
s
t
em
a
nd
un
ce
rt
a
inty
P
o
w
er
o
u
tp
u
t f
r
o
m
s
o
lar
P
V
u
n
it c
an
b
e
ex
p
r
es
s
ed
as
[
2
1
]
,
=
{
(
2
)
0
<
<
(
)
>
(
20
)
T
h
e
h
o
u
r
l
y
s
o
lar
P
V
ir
r
ad
iat
io
n
at
a
p
ar
ticu
lar
lo
ca
tio
n
f
o
llo
w
s
a
b
i
m
o
d
al
d
i
s
tr
ib
u
tio
n
,
an
d
th
i
s
d
is
tr
ib
u
tio
n
f
u
n
ctio
n
ca
n
b
e
r
ep
r
esen
ted
as
a
l
in
ea
r
co
m
b
in
atio
n
o
f
t
w
o
u
n
i
m
o
d
al
d
is
t
r
ib
u
tio
n
f
u
n
ct
io
n
s
.
I
n
th
i
s
p
ap
er
,
th
e
u
n
i
m
o
d
al
f
u
n
ctio
n
i
s
m
o
d
eled
b
y
u
s
in
g
W
eib
u
ll P
DF
,
an
d
it is
r
ep
r
esen
t
ed
b
y
[
2
1
]
,
(
)
=
(
1
1
)
(
1
)
1
−
1
−
(
1
)
1
+
(
1
−
)
(
2
2
)
(
2
)
2
−
1
−
(
2
)
2
(
21
)
w
h
er
e
is
w
ei
g
h
t f
ac
to
r
(
0
<
<
∞
)
.
1
,
2
,
1
an
d
2
ar
e
s
ca
le
an
d
s
h
ap
e
f
ac
to
r
s
,
r
esp
ec
tiv
el
y
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
E
lec
&
C
o
m
p
E
n
g
I
SS
N:
2
0
8
8
-
8708
Mu
lti
-
o
b
jective
b
a
s
ed
ec
o
n
o
m
ic
en
viro
n
men
ta
l d
is
p
a
tch
w
ith
s
to
ch
a
s
tic…
(
S
u
r
en
d
er R
ed
d
y
S
a
lku
ti
)
4547
4.
SI
N
G
L
E
AND
M
UL
T
I
-
O
B
J
E
CT
I
V
E
O
P
T
I
M
I
Z
A
T
I
O
N
I
n
th
i
s
p
ap
er
,
th
e
s
i
n
g
le
o
b
j
ec
tiv
e
o
p
ti
m
izatio
n
(
SOO)
p
r
o
b
lem
s
,
i.e
.
,
ec
o
n
o
m
ic
d
is
p
atch
an
d
en
v
ir
o
n
m
e
n
tal
d
is
p
atch
a
r
e
s
o
lv
ed
b
y
u
s
in
g
p
ar
ticle
s
w
ar
m
o
p
tim
izatio
n
(
P
SO)
[
2
2
,
2
3
]
.
T
h
e
m
u
l
ti
-
o
b
j
ec
tiv
e
E
E
D
o
p
ti
m
izes
b
o
th
t
h
e
ec
o
n
o
m
ic
a
n
d
e
m
i
s
s
io
n
d
is
p
atch
o
b
j
ec
tiv
es
s
i
m
u
ltan
eo
u
s
l
y
.
T
h
e
p
r
in
cip
le
o
f
a
n
id
ea
l
MO
O
is
:
Step
1
:
Dete
r
m
i
n
e
th
e
m
u
ltip
l
e
tr
ad
e
-
o
f
f
o
p
ti
m
al
s
o
l
u
tio
n
s
w
it
h
a
w
id
e
r
an
g
e
o
f
v
al
u
e
s
f
o
r
th
e
co
n
s
id
er
ed
o
b
j
ec
tiv
es.
Step
2
:
Select
o
n
e
o
f
th
e
s
o
lu
ti
o
n
s
as b
est
-
co
m
p
r
o
m
i
s
ed
s
o
l
u
tio
n
b
y
u
s
i
n
g
h
i
g
h
er
le
v
el
d
ata.
As
m
e
n
tio
n
ed
ea
r
lier
,
in
th
i
s
w
o
r
k
,
t
h
e
Mu
l
ti
-
Ob
j
ec
tiv
e
P
ar
ticle
S
w
ar
m
Op
ti
m
izat
io
n
(
M
O
-
P
SO)
is
u
s
ed
f
o
r
s
o
lv
i
n
g
p
r
o
p
o
s
ed
m
u
lti
-
o
b
j
ec
tiv
e
b
ased
E
E
D
p
r
o
b
lem
.
T
h
e
d
etailed
d
escr
ip
tio
n
o
f
MO
-
P
SO
alg
o
r
ith
m
h
as
b
ee
n
p
r
esen
ted
in
t
h
e
r
ef
er
e
n
c
es [
2
4
,
2
5
]
.
5.
RE
SU
L
T
S AN
D
D
I
SCU
SS
I
O
N
T
h
e
e
f
f
e
c
t
i
v
e
n
e
s
s
o
f
p
r
o
p
o
s
e
d
E
E
D
m
e
t
h
o
d
o
l
o
g
y
h
a
s
b
e
e
n
e
x
a
m
i
n
e
d
o
n
s
i
x
g
e
n
e
r
a
t
i
n
g
u
n
i
t
s
s
y
s
t
e
m
.
A
m
o
n
g
t
h
e
s
e
6
g
e
n
e
r
a
t
i
n
g
u
n
i
t
s
,
g
e
n
e
r
a
t
o
r
1
i
s
c
o
n
s
i
d
e
r
e
d
a
s
w
i
n
d
e
n
e
r
g
y
g
e
n
e
r
a
t
o
r
,
a
n
d
g
e
n
e
r
a
t
o
r
2
i
s
c
o
n
s
i
d
e
r
e
d
a
s
s
o
l
a
r
P
V
g
e
n
e
r
a
t
o
r
.
T
h
e
m
i
n
i
m
u
m
a
n
d
m
a
x
i
m
u
m
p
o
w
e
r
o
u
t
p
u
t
s
o
f
w
i
n
d
a
n
d
s
o
l
a
r
P
V
p
l
a
n
t
s
a
r
e
c
o
n
s
i
d
e
r
e
d
a
s
0
M
W
a
n
d
1
0
0
M
W
,
r
e
s
p
e
c
t
i
v
e
l
y
.
F
o
r
t
h
e
r
m
a
l
g
e
n
e
r
a
t
i
n
g
u
n
i
t
s
,
t
h
e
r
a
m
p
r
a
t
e
a
n
d
P
O
Z
s
l
im
i
t
s
a
r
e
t
a
k
e
n
f
r
o
m
[
2
6
]
.
T
a
b
l
e
1
p
r
e
s
e
n
t
s
t
h
e
g
e
n
e
r
a
t
o
r
p
o
w
e
r
,
r
a
m
p
r
a
t
e
a
n
d
P
O
Z
s
l
i
m
i
t
s
o
f
t
h
e
r
m
a
l
g
e
n
e
r
a
t
o
r
s
.
T
ab
le
1
.
Gen
er
ato
r
s
p
o
w
er
,
r
am
p
r
ate
a
n
d
P
OZ
s
li
m
it
s
o
f
t
h
er
m
al
g
e
n
er
ati
n
g
u
n
its
G
e
n
e
r
a
t
o
r
N
u
mb
e
r
(
M
W
)
(
M
W
)
0
(
M
W
)
(
M
W
)
(
M
W
)
P
r
o
h
i
b
i
t
e
d
Z
o
n
e
s (M
W
)
3
35
2
2
5
1
1
4
55
65
[
1
0
5
.
1
1
7
]
[
1
6
5
.
1
7
7
]
4
35
2
1
0
1
1
4
50
90
[
5
5
.
8
5
]
[
1
1
5
.
1
3
0
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5
1
3
0
3
2
5
1
5
0
80
1
2
0
[
8
0
.
9
0
]
[
2
3
0
.
2
5
5
]
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1
2
5
3
1
5
1
2
5
80
1
2
0
[
8
0
.
9
0
]
[
2
3
0
.
2
5
5
]
A
ll
th
e
ca
s
e
s
t
u
d
ies
ar
e
p
er
f
o
r
m
ed
o
n
6
g
en
er
ati
n
g
u
n
it
s
s
y
s
te
m
w
it
h
t
h
e
lo
ad
d
em
a
n
d
s
o
f
4
0
0
M
W
an
d
9
0
0
MW
.
T
h
e
p
r
o
p
o
s
ed
SOO
p
r
o
b
lem
s
ar
e
s
o
lv
ed
b
y
u
s
i
n
g
P
SO,
a
n
d
th
e
o
b
tain
ed
r
esu
lts
ar
e
also
co
m
p
ar
ed
w
it
h
G
A
a
n
d
E
G
A
[
2
7
]
.
T
h
e
p
r
o
p
o
s
ed
MO
O
b
ased
E
E
D
p
r
o
b
le
m
i
s
s
o
l
v
ed
b
y
u
s
i
n
g
MO
-
P
SO
alg
o
r
ith
m
.
F
ig
u
r
e
1
d
ep
icts
t
h
e
f
lo
w
c
h
ar
t
o
f
P
SO
f
o
r
s
o
lv
i
n
g
SO
O
p
r
o
b
le
m
s
o
f
o
p
er
atin
g
co
s
t
an
d
a
m
o
u
n
t
o
f
e
m
is
s
io
n
m
i
n
i
m
izatio
n
s
.
I
n
th
i
s
p
ap
er
,
3
d
if
f
er
en
t c
ase
s
ar
e
s
i
m
u
lated
,
an
d
th
e
y
ar
e
C
ase
1
: So
lv
i
n
g
o
n
l
y
ec
o
n
o
m
i
c
d
is
p
atch
(
E
D)
as a
SOO
p
r
o
b
le
m
.
C
ase
2
: So
lv
i
n
g
o
n
l
y
e
m
is
s
io
n
d
is
p
atch
as a
SOO
p
r
o
b
le
m
.
C
ase
3
: So
lv
i
n
g
E
E
D
p
r
o
b
lem
as a
MO
O
p
r
o
b
lem
.
5
.
1
.
Si
m
ula
t
io
n
re
s
ults f
o
r
c
a
s
e
1
I
n
t
h
is
ca
s
e,
E
D
p
r
o
b
lem
is
s
o
lv
ed
as
a
SOO
p
r
o
b
le
m
b
y
u
s
i
n
g
P
SO,
a
n
d
t
h
e
o
b
tain
ed
r
esu
lt
s
ar
e
also
co
m
p
ar
ed
w
it
h
G
A
an
d
E
GA
.
Her
e,
g
en
er
ato
r
1
is
co
n
s
id
er
ed
as
a
w
i
n
d
en
er
g
y
g
e
n
er
ato
r
,
an
d
g
en
er
ato
r
2
is
co
n
s
id
er
ed
as
s
o
lar
P
V
g
en
er
ato
r
[
2
8
]
.
E
D
p
r
o
b
lem
w
it
h
o
p
er
atin
g
co
s
t
m
i
n
i
m
iza
tio
n
as
an
o
b
j
ec
tiv
e
f
u
n
ctio
n
is
s
o
lv
ed
b
y
co
n
s
id
er
in
g
lo
a
d
d
em
a
n
d
s
o
f
4
0
0
MW
an
d
9
0
0
MW
.
T
ab
le
2
d
e
p
icts
th
e
o
p
ti
m
u
m
co
n
tr
o
l
v
ar
iab
les
an
d
o
b
j
ec
ti
v
e
f
u
n
c
tio
n
v
a
lu
e
s
f
o
r
c
ase
1
.
W
h
en
th
e
lo
ad
d
e
m
an
d
(
)
is
4
0
0
M
W
,
th
e
o
b
tain
ed
o
p
tim
u
m
o
p
er
ati
n
g
co
s
t
s
u
s
i
n
g
G
A
,
E
GA
an
d
P
SO
alg
o
r
ith
m
s
ar
e
2
5
6
3
2
.
3
R
s
/
h
,
2
5
3
1
4
.
2
R
s
/h
an
d
2
5
1
0
7
.
1
R
s
/h
,
r
e
s
p
ec
tiv
el
y
.
W
h
er
ea
s
,
t
h
e
a
m
o
u
n
t
o
f
e
m
is
s
io
n
r
elea
s
ed
u
s
i
n
g
G
A
,
E
G
A
an
d
P
SO
alg
o
r
ith
m
s
ar
e
2
0
2
.
1
0
k
g
/h
,
2
0
1
.
8
2
k
g
/h
an
d
2
0
1
.
6
0
k
g
/h
,
r
esp
ec
ti
v
el
y
.
W
h
e
n
th
e
is
9
0
0
MW
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th
en
th
e
o
p
ti
m
u
m
o
p
er
atin
g
c
o
s
t
o
b
tain
ed
b
y
u
s
i
n
g
G
A
,
E
GA
an
d
P
SO
al
g
o
r
ith
m
s
is
5
1
6
1
4
.
4
R
s
/h
,
5
1
5
3
2
.
3
R
s
/
h
an
d
5
1
4
1
3
.
6
R
s
/h
,
r
esp
ec
tiv
el
y
.
5
.
2
.
Si
m
ula
t
io
n r
es
ults f
o
r
c
a
s
e
2
I
n
th
is
ca
s
e,
t
h
e
e
m
i
s
s
io
n
m
i
n
i
m
izatio
n
o
b
j
ec
tiv
e
is
o
p
tim
ize
d
in
d
ep
en
d
en
tl
y
b
y
u
s
i
n
g
G
A
,
E
GA
an
d
P
SO
alg
o
r
ith
m
s
[
2
9
]
.
T
a
b
le
3
d
ep
icts
th
e
o
p
ti
m
u
m
co
n
tr
o
l
v
ar
iab
les
an
d
o
b
j
ec
tiv
e
f
u
n
ctio
n
v
al
u
es
f
o
r
c
ase
2
.
I
n
th
i
s
ca
s
e,
t
h
e
e
m
is
s
io
n
d
i
s
p
atch
p
r
o
b
lem
i
s
s
o
l
v
ed
b
y
c
o
n
s
id
er
in
g
t
h
e
t
w
o
d
e
m
a
n
d
s
,
i.e
.
,
4
0
0
M
W
an
d
9
0
0
MW
.
Fo
r
4
0
0
MW
d
em
an
d
,
th
e
o
p
ti
m
u
m
a
m
o
u
n
t
o
f
e
m
is
s
io
n
r
elea
s
ed
b
y
u
s
i
n
g
G
A
,
E
G
A
a
n
d
P
SO
alg
o
r
ith
m
s
is
1
8
0
.
2
2
k
g
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h
,
1
7
9
.
6
1
k
g
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a
n
d
1
7
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Fo
r
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e
m
an
d
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h
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m
a
m
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m
i
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h
an
d
6
0
4
.
3
1
k
g
/h
,
r
esp
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ti
v
el
y
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
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6
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7
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6
4
2
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4
5
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2088
-
8708
I
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E
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&
C
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m
p
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n
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,
Vo
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1
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No
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5
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:
4
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3
-
4551
4550
(
a)
(
b
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Fig
u
r
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2
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ase
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6.
CO
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Fu
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d
in
g
-
(
2
0
1
9
-
2
0
2
0
)
”
.
RE
F
E
R
E
NC
E
S
[1
]
S.
M.
M
.
Kh
o
rm
a
n
d
ich
a
li
a
n
d
M.
A
.
Ka
m
a
rp
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sh
ti
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ti
m
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l
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lac
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m
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o
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ra
ti
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rd
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m
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ty
,
"
In
ter
n
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t
io
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a
l
J
o
u
rn
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l
o
f
El
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c
trica
l
a
n
d
C
o
mp
u
t
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r E
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g
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g
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)
,
v
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l.
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n
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.
6
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p
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4
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4
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5
3
9
,
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c
.
2
0
1
9
.
[2
]
R.
M
o
re
n
o
,
J.
Ob
a
n
d
o
a
n
d
G
.
G
o
n
z
a
lez
,
"
A
n
in
teg
ra
ted
OP
F
d
isp
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tch
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g
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o
d
e
l
w
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h
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in
d
p
o
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d
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m
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se
f
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d
m
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rk
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ts
,
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In
ter
n
a
ti
o
n
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l
J
o
u
rn
a
l
o
f
El
e
c
tri
c
a
l
a
n
d
Co
mp
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ter
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g
i
n
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e
rin
g
(
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)
,
v
o
l.
9
,
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o
.
4
,
p
p
.
2
7
9
4
-
2
8
0
2
,
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u
g
.
2
0
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9
.
[3
]
R.
A
.
Ja
b
r
a
n
d
B.
C.
P
a
l,
"
In
te
rm
it
ten
t
w
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d
g
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ra
ti
o
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m
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a
tch
in
g
,
"
IET
Ge
n
e
ra
ti
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n
,
T
ra
n
sm
issio
n
&
Distrib
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ti
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n
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l.
3
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o
.
1
,
p
p
.
6
6
-
7
4
,
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n
.
2
0
0
9
.
[4
]
F
.
Hu
,
K.
J.
Hu
g
h
e
s,
D.
B.
In
g
h
a
m
,
L
.
M
a
a
n
d
M
.
P
o
u
rk
a
sh
a
n
ian
,
"
D
y
n
a
m
ic
e
c
o
n
o
m
ic
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n
d
e
m
is
sio
n
d
isp
a
tch
m
o
d
e
l
c
o
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sid
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w
in
d
p
o
w
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r
u
n
d
e
r
En
e
rg
y
M
a
rk
e
t
Re
f
o
rm
:
A
c
a
se
stu
d
y
,
"
In
ter
n
a
ti
o
n
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l
J
o
u
rn
a
l
o
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trica
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Po
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r
&
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y
S
y
ste
ms
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l.
1
1
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p
p
.
1
8
4
-
1
9
6
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p
.
2
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1
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.
[5
]
M
.
Ba
su
,
"
Eco
n
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m
ic
e
n
v
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m
e
n
tal
d
isp
a
tch
o
f
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ro
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rm
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m
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wa
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En
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Fo
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u
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.
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.
1
0
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1
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.
[6
]
J.
Jin
,
P
.
Zh
o
u
,
C.
L
i,
X.
G
u
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,
M
.
Zh
a
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g
,
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o
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isp
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tch
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it
h
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is
m
,
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En
e
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y
,
v
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l.
1
7
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,
p
p
.
2
5
0
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6
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,
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a
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2
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.
[7
]
R.
K.
S
a
m
a
l
a
n
d
M
.
T
rip
a
th
y
,
"
Co
st
a
n
d
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m
issio
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a
d
d
it
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f
w
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d
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y
in
p
o
w
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r
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m
s
,
"
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u
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a
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le
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s
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v
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l
.
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2
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.
[8
]
O.
T
.
A
lt
in
o
z
,
"
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h
e
d
istri
b
u
ted
m
a
n
y
-
o
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jec
ti
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o
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m
i
ss
io
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tch
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e
n
c
h
m
a
r
k
p
ro
b
lem
,
"
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wa
rm
a
n
d
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lu
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o
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a
ry
Co
mp
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t
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n
,
v
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l.
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,
p
p
.
1
0
2
-
1
1
3
,
S
e
p
.
2
0
1
9
.
Evaluation Warning : The document was created with Spire.PDF for Python.
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4551
[9
]
J.
Xu
,
F
.
W
a
n
g
,
C.
L
v
,
Q.
Hu
a
n
g
a
n
d
H.
X
ie,
"
Eco
n
o
m
ic
-
e
n
v
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o
n
m
e
n
tal
e
q
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il
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2
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5
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c
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[1
0
]
E.
E.
El
a
tt
a
r,
"
M
o
d
if
ied
h
a
rm
o
n
y
se
a
r
c
h
a
lg
o
rit
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m
f
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d
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icro
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rid
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rg
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1
5
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.
4
9
6
-
5
0
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p
.
2
0
1
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.
[1
1
]
P.
P
.
Bisw
a
s,
P
.
N.
S
u
g
a
n
t
h
a
n
,
B.
Y.
Qu
a
n
d
G.
A.
J.
Am
a
r
a
tu
n
g
a
,
"
M
u
lt
io
b
jec
ti
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e
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o
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1
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9
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,
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a
y
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0
1
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.
[1
2
]
J.
He
tze
r,
D.
C.
Y
u
a
n
d
K.
Bh
a
tt
a
ra
i,
"
A
n
e
c
o
n
o
m
ic
d
isp
a
tch
m
o
d
e
l
in
c
o
r
p
o
ra
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in
g
w
in
d
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o
w
e
r,
"
IEE
E
T
ra
n
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ti
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E
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y
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2
3
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p
.
6
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3
-
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1
1
,
Ju
n
.
2
0
0
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.
[1
3
]
I.
G
.
Da
m
o
u
sis,
M
.
C.
A
lex
iad
is,
J.
B.
T
h
e
o
c
h
a
ris
a
n
d
P.
S
.
Do
k
o
p
o
u
l
o
s,
"
A
f
u
z
z
y
m
o
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l
f
o
r
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d
s
p
e
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u
sin
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ti
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l
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n
,
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En
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rg
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l.
1
9
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p
.
3
5
2
-
3
6
1
,
J
u
n
.
2
0
0
4
.
[1
4
]
C.
Ch
e
n
,
"
S
im
u
late
d
a
n
n
e
a
li
n
g
-
b
a
se
d
o
p
ti
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l
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-
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M.
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