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n J
o
urna
l o
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lect
rica
l En
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ineering
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Co
m
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er
Science
Vo
l.
17
,
No
.
2
,
Feb
r
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ar
y
20
20
,
p
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ttp
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/
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Line ba
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edure and
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M
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ra
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t
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th
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tere
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se
a
r
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h
e
rs.
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h
e
tec
h
n
iq
u
e
th
a
t
f
re
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u
e
n
tl
y
u
se
s
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lv
e
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ss
e
m
b
l
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li
n
e
b
a
lan
c
in
g
is
a
h
e
u
risti
c
p
ro
c
e
d
u
re
.
I
n
t
h
is
p
a
p
e
r,
a
c
a
se
stu
d
y
a
b
o
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t
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ti
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n
o
f
th
e
p
o
w
e
r
c
o
n
v
e
rter
is
stu
d
ied
.
T
h
e
a
ss
e
m
b
l
y
li
n
e
o
f
th
e
p
o
we
r
c
o
n
v
e
rter
c
o
n
sists
o
f
2
7
m
a
jo
r
tas
k
s
a
n
d
1
9
w
o
rk
sta
ti
o
n
s
.
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h
e
e
x
isti
n
g
h
e
u
risti
c
s
p
ro
c
e
d
u
re
s
a
n
d
a
p
ro
p
o
se
d
h
e
u
risti
c
p
ro
c
e
d
u
re
a
re
u
se
d
to
so
lv
e
th
e
li
n
e
b
a
lan
c
in
g
p
ro
b
lem
.
Af
ter
th
a
t,
si
m
u
latio
n
is
u
se
d
to
o
b
tain
t
h
e
re
su
lt
s
a
n
d
b
y
c
o
m
p
a
rin
g
th
e
re
su
lt
s
f
o
r
e
a
c
h
p
ro
c
e
d
u
re
,
th
e
m
o
st
su
it
a
b
le
p
r
o
c
e
d
u
re
th
a
t
sh
o
u
l
d
b
e
u
se
d
to
so
lv
e
th
e
p
r
o
b
lem
is
se
lec
t
e
d
.
K
ey
w
o
r
d
s
:
A
s
s
e
m
b
l
y
l
in
e
L
i
n
e
b
alan
ci
n
g
H
eu
r
is
tic
s
p
r
o
ce
d
u
r
e
S
i
m
u
latio
n
Co
p
y
rig
h
t
©
2
0
2
0
In
stit
u
te o
f
A
d
v
a
n
c
e
d
E
n
g
i
n
e
e
rin
g
a
n
d
S
c
ien
c
e
.
Al
l
rig
h
ts
re
se
rv
e
d
.
C
o
r
r
e
s
p
o
nd
ing
A
uth
o
r
:
Mo
h
a
m
m
ad
Hu
s
k
h
az
r
i
n
Kh
ar
u
d
d
in
,
I
n
s
tit
u
te
o
f
Ma
t
h
e
m
atic
s
E
n
g
i
n
ee
r
in
g
,
Un
i
v
er
s
it
y
Ma
la
y
s
ia
P
er
lis
,
P
au
h
P
u
tr
a
Ma
in
C
a
m
p
u
s
,
P
er
lis
,
Ma
la
y
s
ia
.
E
m
ail:
k
h
az
r
i
n
h
u
s
@
y
a
h
o
o
.
co
m
1.
I
NT
RO
D
UCT
I
O
N
T
h
is
p
ap
er
is
th
e
ex
ten
d
ed
p
ap
er
o
f
Heu
r
is
tic
Me
th
o
d
f
o
r
Ass
e
m
b
l
y
L
in
e
B
alan
c
in
g
an
d
Si
m
u
latio
n
o
f
P
o
w
er
C
o
n
v
er
ter
A
s
s
e
m
b
l
y
L
i
n
e
w
h
ic
h
p
u
b
li
s
h
ed
in
I
E
E
E
5
th
I
n
ter
n
atio
n
a
l
C
o
n
f
er
e
n
ce
o
n
S
m
ar
t
I
n
s
tr
u
m
e
n
tatio
n
,
Me
a
s
u
r
e
m
en
t
an
d
A
p
p
licatio
n
s
(
I
C
SIM
A
2
0
1
8
)
.
T
h
e
ass
e
m
b
l
y
l
in
e
b
al
an
cin
g
p
r
o
b
lem
is
s
tu
d
ied
.
T
h
e
h
eu
r
i
s
tic
m
eth
o
d
s
ar
e
u
s
ed
to
s
o
lv
e
th
e
p
r
o
b
lem
a
n
d
th
e
s
i
m
u
lat
io
n
s
o
f
p
o
w
er
co
n
v
er
ter
ass
e
m
b
l
y
li
n
e
h
av
e
b
ee
n
d
o
n
e
to
s
ee
th
e
i
m
p
r
o
v
e
m
en
t
[
1
]
.
A
s
s
e
m
b
l
y
li
n
e,
L
i
n
e
b
alan
cin
g
,
H
e
u
r
is
tic
s
p
r
o
ce
d
u
r
e,
S
im
u
latio
n
.
I
n
th
e
m
a
n
u
f
ac
t
u
r
i
n
g
s
y
s
te
m
,
th
er
e
ar
e
m
o
r
e
t
h
a
n
o
n
e
w
o
r
k
s
tatio
n
s
w
h
ic
h
ar
e
li
n
k
ed
t
o
g
eth
er
to
fo
r
m
a
n
ass
e
m
b
l
y
li
n
e
an
d
a
s
et
o
f
ta
s
k
s
is
a
s
s
i
g
n
ed
to
ea
ch
w
o
r
k
s
ta
tio
n
in
t
h
eir
r
esp
ec
tiv
e
o
r
d
er
o
r
p
r
ec
ed
en
ce
f
lo
w
.
I
t
is
ca
lled
th
e
as
s
e
m
b
l
y
l
in
e
an
d
is
u
s
ed
to
p
r
o
ce
s
s
t
h
e
r
a
w
m
ater
i
al
in
to
a
co
m
p
le
te
p
r
o
d
u
ct.
Ho
w
e
v
er
,
in
o
r
d
er
to
cr
ea
te
a
f
in
is
h
ed
p
r
o
d
u
ct,
th
e
p
r
o
ce
s
s
o
f
it
m
u
s
t
s
tr
ictl
y
f
o
ll
o
w
th
e
p
r
ec
ed
en
ce
f
lo
w
an
d
ea
ch
w
o
r
k
s
tatio
n
d
o
es th
eir
tas
k
s
[
2
,
3]
.
T
h
e
o
p
ti
m
izatio
n
o
f
t
h
e
as
s
e
m
b
ly
li
n
e
th
r
o
u
g
h
o
u
t
th
e
m
an
u
f
ac
tu
r
in
g
p
r
o
ce
s
s
i
s
e
m
p
h
a
s
ize
d
b
ased
o
n
t
w
o
m
aj
o
r
ac
tiv
it
ies.
T
h
e
f
ir
s
t
ac
tiv
i
t
y
is
to
d
eter
m
i
n
e
a
n
d
t
o
ap
p
ly
th
e
m
o
s
t
s
u
i
tab
le
au
to
m
atio
n
le
v
el
i
n
t
h
e
ass
e
m
b
l
y
li
n
e
w
it
h
t
h
e
p
u
r
p
o
s
e
o
f
b
alan
ci
n
g
th
e
i
n
v
est
m
e
n
t
i
n
au
to
m
atio
n
a
n
d
o
u
tp
u
t.
T
h
e
ass
e
m
b
l
y
li
n
e
b
alan
cin
g
(
AL
B
)
is
th
e
s
ec
o
n
d
ac
tiv
it
y
to
o
p
tim
ize
th
e
as
s
e
m
b
ly
l
in
e
b
y
allo
ca
ti
n
g
th
e
t
as
k
s
in
to
w
o
r
k
s
tatio
n
s
an
d
p
r
o
ce
s
s
in
g
ti
m
e
n
ee
d
ed
f
o
r
ea
ch
w
o
r
k
s
tatio
n
to
co
m
p
let
e
th
eir
j
o
b
is
eq
u
al
o
r
alm
o
s
t e
q
u
al
[
4
,
5]
.
T
h
e
w
a
y
i
n
w
h
ich
a
s
et
o
f
ta
s
k
is
as
s
ig
n
ed
in
to
w
o
r
k
s
ta
tio
n
b
y
s
tick
in
g
s
tr
ictl
y
to
th
e
p
r
ec
ed
en
ce
f
lo
w
u
n
til
al
l
w
o
r
k
s
tatio
n
s
h
a
v
e
b
ee
n
m
o
r
e
o
r
le
s
s
s
a
m
e
p
r
o
ce
s
s
in
g
ti
m
e
to
f
i
n
is
h
t
h
eir
t
ask
s
is
ca
lled
AL
B
.
T
h
e
o
b
j
ec
tiv
e
o
f
AL
B
is
to
r
ed
u
ce
th
e
id
le
ti
m
e
o
f
th
e
ass
e
m
b
l
y
lin
e
an
d
at
th
e
s
a
m
e
ti
m
e,
ab
le
to
in
cr
ea
s
e
t
h
e
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
Lin
e
b
a
la
n
cin
g
u
s
in
g
h
eu
r
is
tic
p
r
o
ce
d
u
r
e
a
n
d
s
imu
la
tio
n
o
f..
.
Mo
h
a
mma
d
Hu
s
kh
a
z
r
in
K
h
a
r
u
d
d
in
775
ef
f
ec
tiv
e
n
e
s
s
o
f
t
h
e
as
s
e
m
b
l
y
lin
e
b
y
d
ec
r
ea
s
i
n
g
th
e
n
u
m
b
er
o
f
w
o
r
k
s
tatio
n
s
,
o
r
d
ec
r
ea
s
in
g
th
e
c
y
cle
ti
m
e,
o
r
b
o
th
[
6
-
8]
.
T
h
er
e
ar
e
n
u
m
er
o
u
s
n
u
m
b
er
s
o
f
in
d
u
s
tr
ial
p
r
o
b
lem
s
w
h
er
e
th
e
as
s
e
m
b
l
y
lin
e
b
alan
ci
n
g
p
r
o
b
le
m
(
AL
B
P
)
is
o
n
e
o
f
t
h
e
m
[
9
]
.
I
t
is
s
aid
to
b
e
a
co
m
p
licated
p
r
o
b
lem
d
u
e
to
co
n
s
id
er
atio
n
o
f
t
w
o
s
i
g
n
if
ican
t
p
o
in
ts
w
h
ic
h
ar
e
p
er
f
o
r
m
a
n
ce
s
a
n
d
co
s
ts
.
Gen
er
all
y
,
th
e
p
er
f
o
r
m
an
ce
o
f
t
h
e
as
s
e
m
b
l
y
li
n
e
i
s
r
elate
d
to
its
p
r
o
d
u
ct
n
u
m
b
er
p
er
u
n
it
t
i
m
e
th
at
ca
n
b
e
co
m
p
leted
,
also
k
n
o
w
n
as
a
th
r
o
u
g
h
p
u
t.
T
h
en
,
th
e
co
s
t
i
s
ab
o
u
t
o
v
er
all
r
eso
u
r
ce
s
(
w
o
r
k
er
s
a
n
d
eq
u
ip
m
e
n
t)
r
eq
u
ir
ed
to
co
m
p
lete
all
t
h
e
tas
k
s
.
Hen
ce
,
p
er
f
o
r
m
a
n
ce
s
an
d
co
s
t
s
p
lay
a
b
i
g
r
o
le
in
th
e
p
r
o
d
u
cti
o
n
.
Fu
n
d
a
m
e
n
tall
y
,
tr
ad
e
-
o
f
f
p
r
o
b
lem
b
et
w
ee
n
th
e
s
e
t
w
o
i
s
t
h
e
AL
B
P
[
10
].
A
f
e
w
r
eq
u
ir
e
m
e
n
ts
ar
e
n
ee
d
e
d
f
o
r
a
s
et
o
f
tas
k
s
to
b
e
ass
i
g
n
ed
to
w
o
r
k
s
tat
io
n
s
th
r
o
u
g
h
o
u
t
t
h
e
li
n
e
b
alan
cin
g
.
T
h
e
r
eq
u
ir
e
m
e
n
ts
ar
e
as
f
o
llo
w
ed
,
1
)
a
ta
s
k
t
h
a
t
h
a
v
e
b
ee
n
a
s
s
i
g
n
ed
to
a
w
o
r
k
s
tatio
n
ca
n
n
o
t
b
e
ass
i
g
n
ed
to
an
o
t
h
er
w
o
r
k
s
tati
o
n
;
2
)
to
tal
ti
m
e
f
o
r
ea
ch
w
o
r
k
s
tat
io
n
to
f
in
i
s
h
all
t
h
eir
tas
k
s
m
u
s
t
less
o
r
eq
u
a
l
to
cy
cle
t
i
m
e
;
an
d
3
)
th
e
p
r
ec
ed
en
ce
r
elatio
n
s
h
ip
m
u
s
t
b
e
f
o
llo
w
ed
r
ig
id
l
y
b
y
all
ta
s
k
s
a
n
d
ca
n
n
o
t
b
e
d
is
r
eg
ar
d
[
1
1
,
1
2
]
.
No
w
ad
a
y
s
in
t
h
e
m
o
d
er
n
er
a
w
h
er
e
m
a
n
u
f
ac
t
u
r
e
is
w
el
l
k
n
o
w
n
,
th
er
e
ar
e
m
a
n
y
r
esear
c
h
es
av
ailab
le
in
liter
at
u
r
e.
T
h
eir
ai
m
s
b
y
d
o
in
g
t
h
ese
r
e
s
ea
r
ch
es
ar
e
n
o
t
h
in
g
b
u
t
to
ex
p
lai
n
a
n
d
u
n
co
v
er
th
e
m
y
s
ter
y
o
f
AL
B
.
So
m
e
o
f
t
h
e
m
ar
e
u
s
in
g
t
h
e
co
m
p
u
ter
s
i
m
u
latio
n
s
o
f
t
w
ar
e
to
b
u
ild
t
h
e
s
i
m
u
latio
n
m
o
d
el
th
at
ca
n
b
e
u
s
ed
to
r
u
n
t
h
e
e
x
p
er
i
m
e
n
tati
o
n
o
n
th
e
r
ea
l
s
y
s
te
m
a
n
d
t
h
en
b
e
ab
le
to
f
in
d
th
e
b
est
wa
y
to
i
m
p
r
o
v
e
th
e
s
y
s
te
m
.
Dr
is
co
ll
a
n
d
A
b
d
el
-
S
h
af
i
[
1
3
]
u
s
i
n
g
t
h
e
co
m
b
i
n
ati
o
n
s
o
f
li
n
e
b
ala
n
cin
g
a
n
d
s
i
m
u
latio
n
ap
p
r
o
ac
h
to
s
o
lv
e
t
h
e
AL
B
P
f
o
r
a
m
ix
ed
p
r
o
d
u
ct
ass
e
m
b
l
y
l
in
e.
T
h
e
h
e
u
r
is
tic
m
et
h
o
d
w
as
u
s
ed
to
b
alan
ce
th
e
a
s
s
e
m
b
l
y
lin
e
u
n
d
er
ce
r
tai
n
b
alan
ce
co
n
f
id
en
ce
.
Ne
x
t,
f
o
u
r
la
y
o
u
t
s
s
i
m
u
lat
io
n
w
er
e
e
x
ec
u
ted
to
an
al
y
s
e
t
h
e
la
y
o
u
t
s
p
er
f
o
r
m
a
n
ce
.
B
y
u
s
in
g
id
le
ti
m
e,
lo
s
t
ti
m
e
a
n
d
s
o
m
e
o
th
er
p
ar
am
eter
,
p
er
f
o
r
m
an
ce
b
et
w
ee
n
la
y
o
u
ts
w
er
e
co
m
p
ar
ed
an
d
th
e
b
es
t la
y
o
u
t
w
a
s
s
elec
ted
.
Mc
Mu
llen
a
n
d
F
r
az
ier
[
1
4
]
s
tu
d
ied
s
ev
e
n
lin
e
b
alan
cin
g
p
r
o
b
le
m
s
an
d
2
3
h
eu
r
is
tic
m
e
th
o
d
s
ar
e
u
s
ed
to
f
in
d
t
h
e
s
o
lu
t
io
n
.
T
h
en
,
th
e
y
r
u
n
t
h
e
s
i
m
u
latio
n
f
o
r
th
ese
as
s
e
m
b
l
y
li
n
es
an
d
th
e
r
esu
lt
s
o
f
s
i
m
u
latio
n
a
r
e
u
s
ed
to
d
eter
m
in
e
w
h
ich
h
e
u
r
is
tic
s
h
o
u
ld
b
e
th
e
m
o
s
t
ap
p
r
o
p
r
iate
m
eth
o
d
f
o
r
th
eir
p
r
o
b
le
m
.
Me
n
d
e
s
,
R
a
m
o
s
,
Si
m
ar
ia,
an
d
V
ilar
in
h
o
[
1
5
]
h
as
d
er
i
v
i
n
g
th
e
lin
e
co
n
f
ig
u
r
atio
n
s
f
o
r
a
m
ix
ed
-
m
o
d
el
as
s
e
m
b
l
y
li
n
e
b
y
u
s
i
n
g
th
e
m
e
tah
e
u
r
is
tic
m
et
h
o
d
.
T
h
e
r
esu
lts
o
b
tain
ed
f
r
o
m
m
eta
-
h
eu
r
is
tic
ar
e
u
s
ed
in
s
i
m
u
lat
io
n
m
o
d
els.
P
er
f
o
r
m
a
n
ce
m
ea
s
u
r
e
s
s
u
ch
a
s
p
r
o
ce
s
s
i
n
g
t
i
m
e
a
n
d
u
t
i
lizatio
n
ar
e
u
s
ed
to
s
ee
th
e
i
m
p
r
o
v
e
m
en
t.
T
h
e
r
es
u
lts
w
o
u
ld
ab
le
to
h
elp
th
e
o
p
er
atio
n
al
s
u
p
p
o
r
t
to
m
a
k
e
a
n
ec
es
s
ar
y
ar
r
a
n
g
e
m
e
n
t
to
i
m
p
r
o
v
e
th
e
a
s
s
e
m
b
l
y
l
in
e.
R
ea
l
-
ti
m
e
an
d
t
h
e
d
y
n
a
m
ic
b
alan
ci
n
g
h
a
v
e
b
ee
n
s
t
u
d
ied
b
y
W
an
g
,
W
an
g
a
n
d
Z
h
a
n
g
[
1
6
]
an
d
th
e
y
co
n
t
r
o
l
th
ese
p
ar
a
m
eter
s
b
y
u
s
in
g
th
e
v
i
s
u
al
s
i
m
u
latio
n
m
o
d
el.
A
tech
n
iq
u
e
b
ased
o
n
t
h
e
g
en
etic
al
g
o
r
ith
m
i
n
a
g
ea
r
-
b
o
x
p
r
o
d
u
ctio
n
s
y
s
te
m
i
s
p
r
o
p
o
s
ed
b
y
t
h
e
m
to
s
o
lv
e
t
h
e
a
s
s
e
m
b
l
y
li
n
e
b
ala
n
ci
n
g
p
r
o
b
lem
.
Kita
w
,
Ma
teb
u
an
d
T
ad
ess
e
[
1
7
]
h
av
e
estab
lis
h
ed
a
d
is
cr
e
te
-
e
v
en
t
s
i
m
u
latio
n
m
o
d
el
o
f
p
o
lo
s
h
ir
t
p
r
o
d
u
ctio
n
lin
e.
Si
m
u
latio
n
s
o
f
t
w
ar
e
is
u
s
ed
as
to
d
ev
elo
p
d
if
f
er
en
t
w
a
y
s
f
o
r
th
e
i
m
p
r
o
v
e
m
en
t
o
f
w
o
r
k
er
u
tili
za
tio
n
.
A
n
alg
o
r
ith
m
b
ased
o
n
s
i
m
u
latio
n
an
d
g
en
e
tic
alg
o
r
it
h
m
h
as
b
ee
n
p
r
o
p
o
s
ed
b
y
Fan
,
Gao
,
Xu
an
d
Xiao
[
1
8
]
.
T
h
ey
i
n
v
e
s
ti
g
ated
th
e
m
o
d
elli
n
g
a
n
d
s
i
m
u
latio
n
o
f
th
e
ass
e
m
b
l
y
li
n
e
w
h
er
e
o
v
er
lap
p
ed
a
n
d
s
to
p
p
ed
o
p
er
atio
n
is
co
n
s
i
s
ted
.
T
h
e
o
b
j
ec
tiv
e
f
u
n
ctio
n
i
s
d
eter
m
in
ed
v
ia
s
to
ch
asti
c
s
i
m
u
latio
n
a
n
d
g
en
et
ic
alg
o
r
ith
m
w
h
er
e
th
e
o
p
tim
a
l c
h
o
ice
is
s
elec
ted
.
R
u
a
n
,
T
ao
,
P
en
g
an
d
C
h
en
[
1
9
]
u
s
ed
s
o
f
t
co
m
p
u
ti
n
g
ap
p
r
o
ac
h
to
d
ea
l
w
it
h
th
e
AL
B
P
in
th
e
m
o
b
ile
p
h
o
n
e
p
r
o
d
u
ctio
n
.
T
h
e
s
i
m
u
l
atio
n
m
o
d
el
o
f
r
ea
l
s
y
s
te
m
w
a
s
s
i
m
u
lated
to
id
en
t
if
y
th
e
u
n
b
alan
ce
i
n
t
h
e
ass
e
m
b
l
y
l
in
e.
T
h
e
as
s
e
m
b
l
y
l
in
e
p
er
f
o
r
m
a
n
ce
b
ef
o
r
e
a
n
d
af
ter
lin
e
b
alan
c
in
g
w
a
s
co
m
p
ar
ed
u
s
i
n
g
s
i
m
u
latio
n
m
et
h
o
d
.
Ku
r
ş
u
n
B
ah
ad
ır
[
2
0
]
s
tu
d
ied
li
n
e
b
ala
n
ci
n
g
i
n
t
h
e
a
s
s
e
m
b
l
y
lin
e
o
f
g
ar
m
en
t.
Si
m
u
latio
n
s
o
f
t
w
ar
e
i
s
u
s
ed
to
s
i
m
u
late
th
e
ex
i
s
ti
n
g
s
y
s
te
m
a
n
d
f
o
u
r
s
ce
n
ar
io
s
w
er
e
g
e
n
er
ated
b
y
ap
p
l
y
i
n
g
w
h
a
t
-
i
f
a
n
al
y
s
e
b
y
d
o
in
g
s
o
m
e
ad
j
u
s
t
m
en
t
a
n
d
m
o
v
i
n
g
th
e
w
o
r
k
s
tatio
n
.
T
h
e
ai
m
s
a
r
e
to
b
alan
ce
th
e
ass
e
m
b
l
y
li
n
e
an
d
i
m
p
r
o
v
e
it
s
ef
f
icien
c
y
.
Haf
ez
al
k
o
to
b
,
Ket
ab
ian
a
n
d
R
a
h
i
m
i
[
2
1
]
p
r
esen
ted
th
e
s
i
m
u
latio
n
ap
p
r
o
ac
h
f
o
r
p
ip
e
ass
e
m
b
l
y
li
n
e
w
it
h
t
w
o
d
if
f
er
en
t
t
y
p
e
s
o
f
p
i
p
e.
T
h
ey
u
s
ed
E
n
t
er
p
r
is
e
D
y
n
a
m
ics
s
o
f
t
w
ar
e
to
r
u
n
t
h
e
s
i
m
u
latio
n
an
d
cr
ea
te
n
e
w
s
ce
n
ar
io
s
w
it
h
en
d
g
o
al
i
n
th
eir
m
i
n
d
to
i
m
p
r
o
v
e
th
e
p
e
r
f
o
r
m
an
ce
o
f
ass
e
m
b
l
y
lin
e.
T
h
e
s
to
ch
asti
c
ass
e
m
b
l
y
li
n
e
h
av
e
b
ee
n
s
t
u
d
ied
b
y
Fazlo
llah
tab
ar
,
Haj
m
o
h
a
m
m
ad
i
an
d
E
s
’
Ha
g
h
za
d
eh
[
2
2
]
.
T
h
e
y
p
r
o
p
o
s
ed
th
e
n
e
w
m
o
d
el
b
ased
o
n
th
e
R
a
n
k
P
o
s
itio
n
al
W
ei
g
h
t
a
lg
o
r
it
h
m
a
n
d
d
ev
elo
p
ed
n
o
r
m
a
l
d
is
tr
ib
u
t
io
n
in
te
g
r
atio
n
a
n
d
Mo
n
te
C
ar
lo
s
i
m
u
lat
io
n
m
et
h
o
d
o
lo
g
ies.
Nu
m
er
ical
a
n
al
y
s
is
i
s
u
s
ed
to
co
m
p
ar
e
th
e
r
esu
l
ts
an
d
s
ee
th
e
ef
f
ec
ti
v
e
n
ess
o
f
n
e
w
p
r
o
p
o
s
ed
m
o
d
el.
Ka
y
ar
an
d
Ak
ali
n
[
2
3
]
u
s
ed
th
e
h
eu
r
i
s
tic
m
et
h
o
d
w
h
ic
h
i
s
Ho
f
f
m
a
n
m
et
h
o
d
an
d
A
r
en
a
s
i
m
u
latio
n
s
o
f
t
w
ar
e
to
b
alan
ce
th
e
b
lo
u
s
e
p
r
o
d
u
ctio
n
lin
e.
T
h
e
y
w
a
n
t
to
cr
ea
te
th
e
b
est
ass
e
m
b
l
y
l
in
e
a
n
d
d
eter
m
in
e
t
h
e
ap
p
licab
ilit
y
o
f
Ho
f
f
m
a
n
m
eth
o
d
to
p
r
o
d
u
ctio
n
lin
e.
T
h
e
co
m
b
i
n
atio
n
o
f
h
e
u
r
is
t
ic
m
et
h
o
d
an
d
s
i
m
u
latio
n
ap
p
r
o
ac
h
to
s
o
lv
e
AL
B
P
in
p
o
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p
o
s
itio
n
al
w
ei
g
h
t
m
e
th
o
d
an
d
p
r
o
p
o
s
ed
p
r
o
ce
d
u
r
e
ar
e
u
s
ed
in
t
h
is
s
t
u
d
y
to
b
alan
ce
t
h
e
a
s
s
e
m
b
l
y
lin
e.
T
h
e
n
,
f
o
r
ea
c
h
ap
p
r
o
ac
h
,
th
e
lin
e
ef
f
icien
c
y
a
n
d
to
tal
id
le
ti
m
e
o
f
li
n
e
ar
e
ca
lcu
lated
.
3
.
1
.
L
a
rg
est
Ca
nd
ida
t
e
Rule
(
L
CR)
T
h
is
h
e
u
r
is
tic
m
eth
o
d
i
s
t
h
e
m
o
s
t
s
i
m
p
le
a
n
d
ea
s
y
to
u
n
d
er
s
tan
d
.
I
t’
s
o
n
e
o
f
t
h
e
ea
r
lie
r
m
et
h
o
d
s
w
h
ic
h
h
a
v
e
b
ee
n
p
r
o
p
o
s
ed
to
s
o
lv
e
AL
B
P
.
T
h
e
s
ize
o
f
t
h
e
ir
p
r
o
ce
s
s
in
g
ti
m
e
w
il
l
b
e
th
e
b
asis
f
o
r
ass
i
g
n
i
n
g
th
e
ta
s
k
in
to
w
o
r
k
s
tatio
n
.
I
n
t
h
is
m
et
h
o
d
,
p
r
o
ce
s
s
in
g
ti
m
e
o
f
ta
s
k
is
ar
r
an
g
ed
i
n
d
esce
n
d
in
g
o
r
d
er
w
h
er
e
t
h
e
task
w
ith
lar
g
e
s
t
p
r
o
ce
s
s
i
n
g
t
i
m
e
at
t
h
e
to
p
o
f
t
h
e
li
s
t
w
h
er
ea
s
th
e
tas
k
w
it
h
s
m
alle
s
t
p
r
o
ce
s
s
i
n
g
ti
m
e
at
t
h
e
b
o
tto
m
.
T
h
e
allo
ca
tio
n
o
f
t
ask
s
in
to
w
o
r
k
s
tatio
n
b
ase
o
n
L
C
R
i
s
g
iv
e
n
b
y
T
ab
le
2
.
T
h
e
n
u
m
b
er
o
f
w
o
r
k
s
tatio
n
s
a
f
ter
li
n
e
b
ala
n
cin
g
is
r
ed
u
ce
d
to
1
6
an
d
t
h
e
e
f
f
icien
c
y
o
r
u
tili
za
t
io
n
o
f
as
s
e
m
b
l
y
lin
e
is
in
cr
ea
s
ed
to
7
9
%.
T
h
er
ef
o
r
e,
th
e
id
le
ti
m
e
o
f
th
e
a
s
s
e
m
b
l
y
li
n
e
b
alan
ce
d
b
y
L
C
R
is
co
m
p
u
ted
as 2
1
%.
T
ab
le
2
.
A
llo
ca
tio
n
o
f
T
ask
s
B
ase
o
n
L
C
R
W
o
r
k
st
a
t
i
o
n
T
a
sk
(
W
o
r
k
El
e
me
n
t
)
P
r
o
c
e
ssi
n
g
t
i
me
(
mi
n
)
T
o
t
a
l
T
i
me
i
n
W
o
r
k
st
a
t
i
o
n
(
mi
n
)
1
2
0
.
3
0
8
8
0
.
3
0
8
8
2
3
0
.
4
4
5
3
0
.
4
4
5
3
3
4
0
.
3
0
2
0
0
.
3
0
2
0
4
5
0
.
3
4
8
5
0
.
3
4
8
5
5
6
0
.
3
7
1
0
0
.
3
7
1
0
6
1
0
.
2
9
9
2
0
.
4
4
3
2
8
0
.
1
4
4
0
7
7
0
.
1
8
8
0
0
.
4
2
2
2
9
0
.
0
9
1
7
10
0
.
1
4
2
5
8
11
0
.
3
0
0
8
0
.
4
7
8
2
12
0
.
1
3
7
3
13
0
.
0
4
0
0
9
14
0
.
1
5
4
5
0
.
4
8
5
0
15
0
.
3
3
0
5
10
16
0
.
1
5
4
7
0
.
3
9
3
7
17
0
.
1
7
5
8
18
0
.
0
6
3
2
11
19
0
.
2
2
8
5
0
.
2
2
8
5
12
20
0
.
2
8
9
8
0
.
2
8
9
8
13
21
0
.
3
7
5
0
0
.
3
7
5
0
14
22
0
.
1
8
3
7
0
.
4
4
4
7
23
0
.
0
8
0
2
24
0
.
1
8
0
8
15
25
0
.
3
5
6
0
0
.
3
8
3
7
26
0
.
0
2
7
7
16
27
0
.
4
0
1
8
0
.
4
0
1
8
(
3
)
3
.
2
.
Ra
nk
ed
P
o
s
it
io
na
l We
ig
ht
M
e
t
ho
d (
RP
W)
R
P
W
m
eth
o
d
w
as
d
ev
elo
p
ed
b
y
Helg
e
s
o
n
a
n
d
B
ir
n
ie
[
25
]
.
I
t
is
o
n
e
o
f
h
eu
r
i
s
tic
t
h
at
ca
n
b
e
u
s
ed
to
s
o
lv
e
a
s
s
e
m
b
l
y
lin
e
b
alan
ci
n
g
p
r
o
b
lem
.
W
h
e
n
li
n
e
b
ala
n
ci
n
g
is
ap
p
lied
to
ass
e
m
b
l
y
lin
e
u
s
i
n
g
t
h
is
m
et
h
o
d
,
1
j
ti
i
nt
p
E
wc
1
6
.1
2
1
3
0
.7
8
7
2
7
9
%
1
6
0
.4
8
6
0
j
ti
i
nt
p
E
wc
Evaluation Warning : The document was created with Spire.PDF for Python.
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d
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esia
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J
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C
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m
p
Sci
I
SS
N:
2502
-
4752
Lin
e
b
a
la
n
cin
g
u
s
in
g
h
eu
r
is
tic
p
r
o
ce
d
u
r
e
a
n
d
s
imu
la
tio
n
o
f..
.
Mo
h
a
mma
d
Hu
s
kh
a
z
r
in
K
h
a
r
u
d
d
in
779
th
e
allo
t
m
e
n
t
o
f
ta
s
k
s
in
to
w
o
r
k
s
tat
io
n
s
i
m
p
l
y
o
n
th
e
b
asis
o
f
th
e
v
al
u
e
o
f
p
o
s
itio
n
al
w
ei
g
h
t
an
d
ea
ch
t
ask
h
as
th
eir
p
o
s
itio
n
al
w
ei
g
h
t.
I
t
is
ca
lcu
lated
b
y
ad
d
in
g
t
h
e
p
r
o
ce
s
s
i
n
g
ti
m
e
s
o
f
th
e
ta
s
k
it
s
el
f
a
n
d
all
th
e
tas
k
s
t
h
at
d
ir
ec
tl
y
f
o
llo
w
it
i
n
th
e
p
r
ec
ed
en
ce
d
iag
r
a
m
.
T
h
e
tas
k
s
ar
e
allo
ca
ted
to
w
o
r
k
s
ta
tio
n
i
n
d
ec
r
ea
s
in
g
o
r
d
er
o
f
th
eir
p
o
s
itio
n
al
w
ei
g
h
t.
T
h
is
R
P
W
m
et
h
o
d
s
h
o
w
t
h
at
th
e
r
elatio
n
s
h
ip
b
et
w
ee
n
t
h
e
n
u
m
b
er
s
o
f
tas
k
t
h
at
ar
e
av
ailab
le
f
o
r
allo
t
m
e
n
t
a
n
d
th
e
p
r
o
b
ab
ilit
y
t
h
at
at
lea
s
t
o
n
e
tas
k
w
il
l
f
it
at
a
p
ar
ticu
lar
w
o
r
k
s
tatio
n
i
s
d
ir
ec
tl
y
p
r
o
p
o
r
tio
n
al.
Hen
ce
,
it
i
s
n
o
t
d
i
f
f
ic
u
lt
to
f
i
n
d
s
u
itab
le
ta
s
k
a
n
d
u
s
e
th
e
m
o
s
t
o
f
ea
c
h
s
tatio
n
’
s
c
y
cle
ti
m
e
.
T
h
en
,
th
is
s
h
o
u
ld
r
esu
lt
i
n
r
ed
u
ce
th
e
n
u
m
b
er
o
f
w
o
r
k
s
tatio
n
an
d
id
le
ti
m
e
[
2
6
,
2
7
].
B
y
u
s
in
g
R
P
W
m
eth
o
d
to
s
o
lv
e
th
e
ass
e
m
b
l
y
li
n
e
b
alan
c
in
g
p
r
o
b
le
m
,
t
h
e
r
es
u
lt
w
as
s
a
m
e
as
t
h
e
r
es
u
lt
w
h
en
u
s
i
n
g
th
e
m
et
h
o
d
o
f
L
C
R
.
T
h
er
ef
o
r
e,
lin
e
ef
f
icien
c
y
a
n
d
id
le
ti
m
e
o
f
li
n
e
b
alan
ce
d
b
y
R
P
W
m
et
h
o
d
is
7
9
% a
n
d
2
1
% r
esp
ec
tiv
el
y
.
3
.
3
.
T
he
P
ro
po
s
ed
H
euristic
P
ro
ce
du
re
A
g
o
o
d
q
u
eu
i
n
g
s
y
s
te
m
is
a
s
y
s
te
m
th
at
h
a
s
s
m
all
v
al
u
e
o
f
w
aiti
n
g
ti
m
e
o
r
id
le
ti
m
e
[
2
8
]
.
T
h
e
p
r
o
p
o
s
ed
h
eu
r
is
tic
p
r
o
ce
d
u
r
e
is
b
ased
o
n
co
n
ce
p
t
o
f
q
u
eu
i
n
g
s
y
s
te
m
w
h
er
e
th
er
e
ar
e
in
p
u
t
as
a
cu
s
to
m
er
an
d
w
o
r
k
s
tatio
n
as
a
s
er
v
e.
A
r
r
iv
a
l
ti
m
e
o
f
in
p
u
t
an
d
p
r
o
ce
s
s
in
g
ti
m
e
o
f
task
w
il
l
b
e
u
s
ed
in
o
r
d
er
to
ass
ig
n
th
e
task
s
in
to
w
o
r
k
s
tatio
n
.
T
h
e
p
r
o
ce
d
u
r
e
is
as f
o
llo
w
:
a.
T
ask
s
ar
e
ass
i
g
n
ed
to
a
w
o
r
k
s
tatio
n
,
o
n
e
at
a
ti
m
e
f
o
llo
w
i
n
g
th
e
ta
s
k
s
p
r
ec
ed
en
ce
an
d
all
o
ca
te
th
e
tas
k
s
tar
t
w
ith
t
h
e
m
o
s
t
n
u
m
b
er
s
o
f
s
u
b
s
eq
u
e
n
t ta
s
k
s
.
b.
C
h
o
s
e
n
tas
k
s
h
o
u
ld
b
e
b
ased
o
n
th
e
ar
r
iv
al
ti
m
e
o
f
i
n
p
u
t
a
n
d
p
r
o
ce
s
s
in
g
ti
m
e
o
f
tas
k
.
T
ask
s
ar
e
ad
d
e
d
in
to
w
o
r
k
s
tat
io
n
i
f
ar
r
iv
al
ti
m
e
o
f
in
p
u
t i
s
m
o
r
e
t
h
an
p
r
o
ce
s
s
i
n
g
ti
m
e.
c.
I
f
p
o
s
s
ib
le,
ad
d
th
e
task
i
n
to
wo
r
k
s
tatio
n
u
n
til to
tal
p
r
o
ce
s
s
i
n
g
ti
m
e
eq
u
al
to
a
r
r
iv
al
ti
m
e
o
f
in
p
u
t.
d.
Ho
w
e
v
er
,
if
to
tal
p
r
o
ce
s
s
i
n
g
t
i
m
es
e
x
ce
ed
ar
r
iv
al
ti
m
e,
th
e
to
tal
p
r
o
ce
s
s
in
g
t
i
m
e
s
h
o
u
ld
clo
s
e
to
cy
c
le
ti
m
e,
t
h
e
d
if
f
er
en
t
m
u
s
t
n
o
t e
x
ce
ed
1
0
%.
e.
I
n
ca
s
e
th
er
e
ar
e
t
w
o
o
r
m
o
r
e
allo
ca
b
le
task
s
at
th
e
s
a
m
e
t
i
m
e,
ch
o
o
s
e
t
h
e
ta
s
k
th
a
t
w
il
l
h
a
v
e
t
h
e
clo
s
e
s
t
to
tal
p
r
o
ce
s
s
in
g
t
i
m
e
to
c
y
c
le
t
i
m
e.
f.
T
h
e
p
r
o
ce
d
u
r
e
2
-
5
is
r
ep
ea
ted
o
n
th
e
n
e
x
t
w
o
r
k
s
tatio
n
f
o
r
th
e
r
em
a
in
i
n
g
tas
k
s
.
T
ab
le
3
s
h
o
w
s
t
h
e
as
s
i
g
n
m
e
n
t
o
f
tas
k
b
ase
o
n
p
r
o
p
o
s
ed
h
eu
r
is
tic.
T
h
e
n
u
m
b
er
o
f
w
o
r
k
s
tat
i
o
n
af
ter
u
s
i
n
g
p
r
o
p
o
s
ed
p
r
o
ce
d
u
r
e
is
r
e
d
u
ce
d
to
1
5
an
d
th
e
ef
f
icie
n
c
y
o
f
ass
e
m
b
l
y
li
n
e
is
8
4
%.
T
h
e
to
tal
id
le
ti
m
e
o
f
th
e
li
n
e
b
alan
ce
d
b
y
p
r
o
p
o
s
ed
p
r
o
ce
d
u
r
e
is
co
m
p
u
ted
as 1
6
%
.
T
ab
le
3
.
A
s
s
i
g
n
m
e
n
t o
f
T
ask
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ased
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0
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.
[4
]
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.
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]
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.
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.
[8
]
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1
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2
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3
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4
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5
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6
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(IT
IC)
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pp
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2
0
0
9
.
[1
7
]
D.
Kitaw
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.
M
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8
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[1
9
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IEE
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1
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In
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&
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p
p
.
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.
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0
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S.
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rşu
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h
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ır
,
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1
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tab
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