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r
q
u
ad
r
atic
Gau
s
s
ian
m
eth
o
d
,
in
v
en
to
r
y
m
an
ag
e
m
e
n
t u
s
in
g
th
e
AB
C
m
eth
o
d
an
d
as E
OQ
m
o
d
el,
o
r
s
y
s
tem
o
f
o
p
tim
al
in
v
en
to
r
y
o
f
s
u
p
p
lies
o
f
d
eter
io
r
atin
g
g
o
o
d
s
o
f
wate
r
s
u
p
p
lies
[
2
3
]
,
Uth
a
y
ak
u
m
ar
an
d
T
h
ar
an
i
[
2
1
]
,
th
e
k
ey
ch
allen
g
e
is
m
an
ag
in
g
d
am
a
g
ed
s
to
ck
wh
ile
ad
d
r
ess
in
g
d
y
n
am
ic
d
em
a
n
d
p
atter
n
s
,
s
u
ch
as
q
u
a
d
r
ati
c
an
d
ex
p
o
n
en
tial
d
em
an
d
wh
e
n
f
o
r
m
u
latin
g
an
in
v
en
to
r
y
m
o
d
el
f
o
r
d
am
a
g
e
d
p
h
ar
m
ac
e
u
tical
g
o
o
d
s
,
th
e
r
esear
ch
f
o
cu
s
es
o
n
d
em
an
d
in
f
lu
e
n
ce
d
b
y
q
u
ad
r
atic
tim
e
with
c
o
m
p
lete
b
ac
k
lo
g
g
in
g
.
Uth
a
y
ak
u
m
ar
an
d
Kar
u
p
p
asam
y
[
2
0
]
,
d
ev
elo
p
e
d
an
in
v
en
to
r
y
m
o
d
e
l
f
o
r
th
e
h
ea
lth
ca
r
e
in
d
u
s
tr
y
[
2
4
]
with
q
u
ad
r
atic
d
e
m
an
d
,
lin
ea
r
ca
r
r
y
in
g
c
o
s
ts
,
an
d
s
h
o
r
tag
e,
s
o
in
th
is
r
esear
c
h
th
e
d
em
a
n
d
f
u
ctio
n
m
o
d
el
w
as d
ev
elo
p
ed
i
n
to
an
e
x
p
o
n
en
t
ial
f
u
n
ctio
n
.
T
h
is
s
tu
d
y
e
x
p
lo
r
es
d
ev
elo
p
a
m
o
d
el
th
at
ca
n
m
in
im
ize
t
h
e
to
tal
c
o
s
t
o
f
in
v
en
t
o
r
y
f
o
r
m
an
ag
i
n
g
d
eter
io
r
at
in
g
p
h
a
r
m
ac
eu
tical
g
o
o
d
s
u
n
d
e
r
ex
p
o
n
e
n
tial
d
em
an
d
lev
els
wh
ich
ar
e
r
ar
ely
d
i
s
cu
s
s
ed
b
u
t
h
av
e
th
e
b
en
ef
it
o
f
t
h
e
v
alu
e
o
f
d
em
a
n
d
to
war
d
s
to
tal
co
s
t
will
alwa
y
s
b
e
a
p
o
s
itiv
e
v
alu
e,
wi
th
ass
u
m
p
tio
n
s
o
f
p
er
m
itted
s
h
o
r
ta
g
es
an
d
c
o
m
p
lete
b
ac
k
lo
g
g
in
g
.
T
h
e
m
o
d
el
d
ev
elo
p
ed
is
d
if
f
er
en
t
f
r
o
m
th
e
p
r
ev
io
u
s
m
o
d
el
b
y
Uth
ay
ak
u
m
ar
an
d
T
h
ar
an
i
[
2
1
]
,
in
ter
m
s
o
f
th
e
d
em
an
d
f
u
n
ctio
n
b
ei
n
g
an
ex
p
o
n
en
tial
f
u
n
ctio
n
,
th
e
m
o
d
el
is
in
q
u
ad
r
atic
f
u
n
ctio
n
.
T
h
e
s
o
lu
tio
n
u
tili
ze
s
th
e
W
o
lf
r
am
Al
p
h
a.
T
o
d
eter
m
in
e
ch
an
g
es
in
v
ar
iab
le
v
alu
es
to
p
r
o
d
u
ce
o
p
tim
al
s
o
lu
tio
n
s
an
d
m
in
im
ize
th
e
av
er
a
g
e
to
tal
in
v
en
to
r
y
co
s
ts
f
o
r
ea
ch
c
y
cle,
a
s
en
s
itiv
ity
an
aly
s
is
is
ca
r
r
ied
o
u
t
.
2.
M
E
T
H
O
D
T
h
e
p
r
o
ce
s
s
u
n
d
er
tak
e
n
in
th
is
s
tu
d
y
is
o
u
tlin
ed
as f
o
llo
ws:
1)
I
d
en
tify
an
d
estab
lis
h
th
e
s
y
m
b
o
ls
a
n
d
ass
u
m
p
tio
n
s
r
e
q
u
ir
ed
t
o
d
ev
elo
p
th
e
in
v
e
n
t
o
r
y
m
o
d
el
f
o
r
d
am
ag
ed
p
h
ar
m
ac
e
u
tical
g
o
o
d
s
.
T
h
e
s
y
m
b
o
ls
an
d
ass
u
m
p
tio
n
s
em
p
lo
y
ed
ar
e
d
etailed
b
elo
w
:
an
d
b
:
T
h
e
q
u
a
n
tity
o
f
item
,
is
s
et
at
1
0
0
.
T
h
e
q
u
an
tity
o
f
item
is
s
et
at
5
0
:
E
ac
h
d
am
ag
e
d
item
co
s
t
ℎ
:
Ho
ld
in
g
co
s
t o
f
in
v
e
n
to
r
y
p
e
r
u
n
it o
f
tim
e.
:
T
o
tal
co
s
t o
f
h
o
ld
in
g
i
n
v
en
to
r
y
.
(
)
:
I
n
v
en
to
r
y
am
o
u
n
t a
t
.
:
T
h
e
co
s
t o
f
s
h
o
r
tag
es p
er
u
n
i
t o
f
tim
e.
:
Sh
o
r
tag
e
to
tal
co
s
ts
.
:
R
ate
o
f
d
eter
io
r
atio
n
f
o
r
av
ai
lab
le
item
s
(
o
n
h
a
n
d
)
;
0
<
<
1
.
1
:
T
h
e
cy
cle
len
g
t
h
1
:
T
im
e
o
f
in
v
en
to
r
y
wh
en
ac
h
i
ev
in
g
ze
r
o
p
o
i
n
t
1
∗
an
d
1
∗
:
T
h
e
o
p
tim
al
p
o
in
t
̅
̅
̅
̅
:
T
h
e
av
er
a
g
e
to
tal
co
s
t o
f
d
a
m
ag
ed
in
v
en
to
r
y
p
er
u
n
it o
f
tim
e
Sev
er
al
ass
u
m
p
tio
n
s
ar
e
m
ad
e
in
th
e
d
ev
el
o
p
m
en
t
o
f
a
d
e
ter
io
r
atin
g
in
v
en
to
r
y
m
o
d
el,
as
o
u
tlin
ed
b
elo
w:
-
T
h
e
d
eter
i
o
r
atio
n
r
ate
is
co
n
s
tan
t.
-
Sh
o
r
tag
es a
r
e
allo
we
d
,
an
d
c
o
m
p
lete
b
ac
k
l
o
g
g
in
g
o
cc
u
r
s
.
-
T
h
e
lead
tim
e
is
ass
u
m
ed
to
b
e
ze
r
o
.
-
Du
r
in
g
s
h
o
r
tag
e
p
er
i
o
d
s
,
th
e
b
ac
k
lo
g
g
in
g
lev
el
is
a
v
ar
iab
le
d
ep
en
d
in
g
o
n
th
e
waitin
g
tim
e
f
o
r
th
e
n
ex
t
r
ep
len
is
h
m
en
t,
with
1
≤
≤
1
.
On
e
o
f
th
e
g
o
als
o
f
th
e
in
v
en
to
r
y
m
o
d
el
is
to
o
b
tain
m
in
i
m
u
m
co
s
ts
to
d
eter
m
in
e
in
v
en
to
r
y
co
s
ts
.
T
h
e
f
o
llo
win
g
is
th
e
d
ef
in
itio
n
o
f
co
m
p
o
n
e
n
t
s
,
th
e
to
tal
co
s
t
o
f
s
u
p
p
lies
is
as f
o
llo
ws:
i)
Pu
r
ch
asin
g
co
s
t
r
ef
e
r
s
to
th
e
p
r
ice
p
er
u
n
it
wh
e
n
s
o
u
r
c
ed
e
x
ter
n
ally
o
r
th
e
p
r
o
d
u
ctio
n
co
s
t
p
er
u
n
it
wh
en
p
r
o
d
u
ce
d
in
ter
n
ally
.
I
t
m
ay
v
ar
y
d
ep
e
n
d
in
g
o
n
o
r
d
er
s
ize,
esp
ec
ially
if
s
u
p
p
li
er
s
o
f
f
er
d
is
co
u
n
ts
f
o
r
lar
g
er
q
u
an
titi
es
[
2
5
]
.
ii)
Or
d
er
in
g
co
s
ts
ar
e
th
e
ex
p
en
s
es
in
cu
r
r
e
d
wh
e
n
p
lac
in
g
o
r
d
er
s
with
s
u
p
p
lier
s
,
in
clu
d
in
g
ad
m
in
is
tr
ativ
e,
tr
an
s
p
o
r
tatio
n
,
lo
ad
in
g
/u
n
lo
ad
in
g
,
an
d
r
ec
eiv
i
n
g
f
ee
s
[
2
6
]
.
iii)
Ho
ld
in
g
co
s
ts
,
o
r
s
to
r
ag
e
co
s
t
s
,
ar
e
th
e
ex
p
en
s
es
o
f
m
ain
tain
in
g
in
v
e
n
to
r
y
o
v
er
tim
e.
T
h
e
s
e
in
clu
d
e
war
eh
o
u
s
e
r
en
t,
o
b
s
o
lescen
ce
,
ad
m
in
is
tr
ativ
e
f
ee
s
,
s
taf
f
s
alar
ies,
u
tili
tie
s
,
ca
p
ital
ti
ed
u
p
i
n
in
v
en
to
r
y
,
tax
es,
in
s
u
r
a
n
ce
,
an
d
d
am
ag
e
co
s
ts
[
2
7
]
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
d
o
n
esian
J
E
lec
E
n
g
&
C
o
m
p
Sci
I
SS
N:
2502
-
4
7
5
2
Wo
lfr
a
m
A
lp
h
a
b
a
s
ed
-
in
ve
n
to
r
y
mo
d
el
fo
r
d
a
ma
g
e
d
items o
f
p
h
a
r
ma
ce
u
tics
b
y
…
(
I
n
d
r
a
w
a
ti
)
1147
iv
)
Dete
r
io
r
atin
g
co
s
ts
,
o
r
d
am
a
g
e
co
s
ts
,
ar
e
ex
p
en
s
es
f
r
o
m
g
o
o
d
s
lo
s
in
g
q
u
ality
d
u
e
t
o
p
r
o
lo
n
g
ed
s
to
r
ag
e
o
r
d
am
ag
e,
i
n
clu
d
in
g
t
h
e
v
alu
e
o
f
in
v
e
n
to
r
y
lo
s
t to
d
eter
io
r
atio
n
[
2
8
]
.
v)
Sh
o
r
tag
e
co
s
ts
ar
e
in
cu
r
r
e
d
wh
en
in
v
en
to
r
y
f
ails
to
m
ee
t
d
em
an
d
o
n
tim
e.
T
h
e
y
in
clu
d
e
ad
m
in
is
tr
ativ
e
ex
p
en
s
es,
lo
s
t
p
r
o
f
its
,
p
r
o
d
u
ctio
n
o
r
d
is
tr
ib
u
tio
n
d
elay
s
,
ex
tr
a
c
o
s
ts
,
an
d
p
o
ten
tial
cu
s
to
m
er
lo
s
s
[
2
9
]
.
I
n
th
e
in
v
en
t
o
r
y
m
o
d
el
f
o
r
m
u
l
atio
n
,
th
er
e
ar
e
two
in
f
lu
e
n
cin
g
f
ac
to
r
s
o
f
g
o
o
d
s
th
at
ar
e
ex
p
er
ien
cin
g
d
eter
io
r
atio
n
o
r
d
am
ag
e
an
d
le
v
el
d
em
an
d
is
tim
e
d
ep
en
d
en
t.
Dete
r
io
r
atio
n
o
f
p
h
ar
m
ac
eu
ti
ca
l
g
o
o
d
s
is
a
th
in
g
th
at
m
u
s
t
b
e
ad
d
r
ess
ed
in
th
e
h
ea
lth
ca
r
e
s
y
s
tem
.
So
,
th
e
m
ed
icin
es
p
lay
a
r
o
le
im
p
o
r
tan
t
r
o
le
in
p
atien
t
ca
r
e
s
o
a
p
lan
n
in
g
is
a
n
ec
ess
ity
.
At
th
e
s
tar
t
o
f
th
e
in
v
en
to
r
y
cy
cle,
t
h
e
q
u
an
tity
o
f
g
o
o
d
s
will
r
ea
ch
its
m
ax
im
u
m
i
n
v
en
to
r
y
l
ev
el
as
[
2
1
]
:
(
0
)
=
W
ith
:
(
0
)
:
t
h
e
cu
r
r
e
n
t in
v
e
n
to
r
y
t
o
tal,
=
0
:
m
ax
im
u
m
i
n
v
en
to
r
y
lev
el
d
u
r
in
g
th
e
o
r
d
er
in
g
c
y
cle.
Go
o
d
s
in
v
e
n
to
r
y
will
p
r
o
g
r
ess
iv
ely
d
ec
r
ea
s
e
ass
u
m
in
g
d
em
a
n
d
f
o
llo
ws
an
e
x
p
o
n
en
tial
f
u
n
ctio
n
o
v
e
r
tim
e.
T
h
e
d
if
f
e
r
en
tial e
q
u
atio
n
r
ep
r
esen
tin
g
t
h
is
ex
p
o
n
en
tial
d
em
an
d
f
u
n
ctio
n
is
ty
p
ically
f
o
r
m
u
lated
as:
(
)
=
−
(
)
:
d
em
an
d
v
ar
ies with
tim
e.
:
i
n
itial r
eq
u
est.
:
v
ar
iab
el
co
ef
f
icien
t
at
th
e
d
e
m
an
d
lev
el.
:
a
co
n
s
tan
t a
t th
e
r
e
q
u
est lev
e
l.
:
t
im
e
2)
C
o
n
d
u
ct
th
e
n
u
m
e
r
ical
co
m
p
u
tatio
n
s
u
s
in
g
Uth
ay
ak
u
m
a
r
an
d
T
h
a
r
an
i
[
2
1
]
d
ata
u
p
to
3
v
ar
iatio
n
s
t
o
ea
ch
p
ar
am
eter
to
ex
am
i
n
e
m
o
d
el
f
o
r
m
u
latio
n
.
3)
C
o
n
d
u
ct
a
s
en
s
itiv
ity
an
aly
s
is
to
id
en
tify
wh
ich
v
ar
iab
l
es
h
av
e
th
e
m
o
s
t
s
ig
n
if
ican
t
in
f
lu
en
ce
o
n
ac
h
iev
in
g
ac
cu
r
ate
r
esu
lts
an
d
to
ev
alu
ate
ch
an
g
es
in
t
h
e
m
o
d
el
[
1
7
]
.
T
h
e
an
al
y
s
is
test
s
th
e
im
p
ac
t
o
f
p
ar
am
eter
v
a
r
iatio
n
s
o
n
t
h
e
o
p
t
im
al
s
o
lu
tio
n
b
y
a
d
ju
s
tin
g
ea
c
h
p
ar
am
eter
b
y
p
lu
s
o
r
m
in
u
s
1
[
3
0
]
.
4)
Pro
v
id
e
an
i
n
ter
p
r
etatio
n
o
f
t
h
e
r
esu
ltin
g
m
o
d
el
.
3.
RE
SU
L
T
S AN
D
D
I
SCU
SS
I
O
N
3
.
1
.
M
a
t
hema
t
ica
l
f
o
rm
ula
t
i
o
n o
f
mo
dels
f
o
r
inv
ent
o
ry
m
a
na
g
e
m
ent
T
h
e
m
eth
o
d
o
lo
g
y
is
s
tr
u
ctu
r
ed
b
ased
o
n
s
ev
er
al
s
tep
s
,
n
am
ely
f
o
r
m
u
latin
g
an
in
v
e
n
to
r
y
m
o
d
el
f
o
r
p
h
ar
m
ac
eu
tical
g
o
o
d
s
p
r
o
n
e
to
d
eter
io
r
atio
n
,
wh
er
e
d
em
an
d
lev
els
f
o
llo
w
an
e
x
p
o
n
en
tial
p
atter
n
.
Per
f
o
r
m
in
g
n
u
m
er
ical
ca
lcu
latio
n
s
o
n
d
at
a
p
r
ev
io
u
s
ly
u
s
ed
b
y
[
2
1
]
,
to
co
m
p
lete
th
e
m
o
d
el
f
o
r
m
u
latio
n
with
W
o
lf
r
am
Alp
h
a
s
o
f
twar
e.
Per
f
o
r
m
s
en
s
itiv
ity
an
aly
s
is
an
d
p
r
o
v
id
e
a
n
in
ter
p
r
etatio
n
o
f
th
e
m
o
d
el
o
b
tain
ed
.
On
in
ter
v
al
[
0
,
1
]
,
th
e
in
v
e
n
to
r
y
a
m
o
u
n
t
will b
e:
(
)
=
−
(
)
−
(
)
,
0
≤
≤
1
(
)
=
−
−
(
)
,
0
≤
≤
1
(
1
)
T
h
e
am
o
u
n
t o
f
in
v
en
t
o
r
y
wh
e
n
s
h
o
r
tag
es o
cc
u
r
in
t
h
e
in
ter
v
al
[
1
,
1
]
is
f
o
r
m
u
lated
as
(
1
)
.
(
)
=
−
,
1
≤
≤
1
(
2
)
Su
b
ject
to
in
itial c
o
n
d
itio
n
s
o
f
(
0
)
=
an
d
(
1
)
=
0
3
.
2
.
I
nv
ent
o
ry
mo
del so
lutio
n f
o
r
det
er
io
ra
t
ing
ph
a
rma
c
eut
ica
l g
o
o
ds
wit
h e
x
po
nentia
l dem
a
nd
lev
els
As (
1
)
,
(
2
)
s
u
g
g
ested
b
ef
o
r
e
,
t
h
e
in
v
en
t
o
r
y
m
o
d
el
o
b
tain
ed
i
n
th
e
in
ter
v
al
[
0
,
1
]
is
as
(
2
)
.
(
)
=
−
−
(
(
−
)
−
−
−
)
,
0
≤
≤
1
(
3
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
5
0
2
-
4
7
5
2
I
n
d
o
n
esian
J
E
lec
E
n
g
&
C
o
m
p
Sci
,
Vo
l.
3
9
,
No
.
2
,
Au
g
u
s
t
20
25
:
1
1
4
5
-
1
154
1148
Fo
r
th
e
m
ax
im
u
m
am
o
u
n
t
o
f
in
v
en
to
r
y
o
b
tain
e
d
b
y
p
r
o
v
id
i
n
g
th
e
in
itial
v
alu
e
b
o
u
n
d
ar
y
co
n
d
itio
n
is
(
0
)
=
0
,
th
en
ca
lcu
late
as
(
3
)
.
(
)
=
−
−
(
(
−
)
−
1
)
(
4
)
I
f
th
e
in
v
en
to
r
y
lev
el
at
=
0
,
th
en
ca
lcu
late
as
(
4
)
.
=
−
−
(
(
−
)
−
)
,
0
≤
≤
1
(
5
)
T
o
tal
r
eq
u
ests
in
th
e
in
ter
v
al
[
0
,
1
]
ar
e
as
(
5
)
.
∫
(
)
1
0
=
∫
(
)
1
0
=
1
−
(
6
)
T
h
e
to
tal
n
u
m
b
er
o
f
item
s
u
n
d
er
g
o
in
g
d
eter
io
r
atio
n
in
th
e
in
t
er
v
al
[
0
,
1
]
,
o
r
is
ca
lcu
lated
as
(
6
)
.
=
−
∫
(
1
)
1
0
(
7
)
=
−
1
−
1
−
−
1
+
1
1
−
(
8
)
T
o
tal
s
to
r
ag
e
(
)
in
th
e
in
ter
v
al
[
0
,
1
]
ac
co
r
d
in
g
to
[
3
1
]
.
=
∫
(
+
)
(
)
1
0
=
−
1
(
−
)
(
(
+
1
)
(
−
)
+
(
1
−
1
)
+
(
(
2
−
2
)
+
(
2
1
−
2
1
)
)
)
(
9
)
T
o
tal
s
h
o
r
tag
es in
th
e
i
n
ter
v
al
[
1
,
]
as
(
1
0
)
.
=
−
∫
(
)
1
1
=
(
−
1
1
+
1
2
−
1
1
2
+
1
2
)
(
1
0
)
3
.
3
.
Av
er
a
g
e
t
o
t
a
l pha
r
m
a
ce
utic
a
l inv
ent
o
ry
co
s
t
s
T
h
e
av
er
ag
e
to
tal
co
s
t
o
f
p
h
a
r
m
ac
eu
tical
in
v
en
to
r
y
o
v
er
th
e
in
ter
v
al
[
0
,
1
]
p
er
item
p
er
u
n
it
tim
e
(
̅
̅
̅
̅
)
is
as
[
2
1
]
:
̅
̅
̅
̅
=
1
1
(
+
ℎ
+
+
)
̅
̅
̅
̅
=
1
1
{
+
ℎ
.
−
1
(
−
)
(
(
+
1
)
(
−
)
+
(
1
−
1
)
+
(
(
2
−
2
)
+
(
2
1
−
2
1
)
)
)
+
{
−
1
−
1
−
−
1
+
1
−
}
+
(
−
1
1
+
1
2
−
1
1
2
+
1
2
)
}
(
1
1
)
T
h
e
f
ir
s
t
-
o
r
d
er
d
e
r
iv
ativ
e
o
f
co
n
ce
r
n
in
g
1
an
d
1
is
as
:
̅
̅
̅
̅
1
=
1
1
(
ℎ
1
+
1
+
1
)
(
1
2
)
̅
̅
̅
̅
1
=
−
1
1
2
−
1
1
2
ℎ
−
1
1
2
−
1
1
2
+
1
1
1
(
1
3
)
b
ec
au
s
e
1
=
1
=
0
.
T
h
e
s
o
lu
tio
n
s
to
th
e
d
er
iv
ativ
e
in
(
8
)
-
(
1
0
)
ar
e
as
:
1
=
(
1
−
+
1
)
−
(
1
4
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
d
o
n
esian
J
E
lec
E
n
g
&
C
o
m
p
Sci
I
SS
N:
2502
-
4
7
5
2
Wo
lfr
a
m
A
lp
h
a
b
a
s
ed
-
in
ve
n
to
r
y
mo
d
el
fo
r
d
a
ma
g
e
d
items o
f
p
h
a
r
ma
ce
u
tics
b
y
…
(
I
n
d
r
a
w
a
ti
)
1149
1
=
−
1
−
(
2
−
2
+
2
1
−
1
+
1
−
1
)
(
1
5
)
1
=
(
−
3
1
+
2
1
1
1
+
1
)
(
1
6
)
1
=
−
1
+
2
1
(
1
7
)
Su
b
s
titu
te
(
1
4
)
-
(
1
6
)
i
n
to
(
1
2
)
an
d
(
1
7
)
in
t
o
(
1
3
)
,
th
e
n
th
e
f
o
l
lo
win
g
is
o
b
tain
ed
:
̅
̅
̅
̅
1
=
1
1
(
ℎ
1
+
1
+
1
)
̅
̅
̅
̅
1
=
1
1
(
ℎ
(
−
1
−
(
2
−
2
+
2
1
−
1
+
1
−
1
)
)
+
(
(
1
−
+
1
−
)
+
(
−
3
1
+
2
1
1
1
+
1
)
)
(
1
8
)
̅
̅
̅
̅
1
=
−
1
1
2
−
1
1
2
ℎ
−
1
1
2
−
1
1
2
+
1
1
̅
̅
̅
̅
1
=
−
1
1
2
−
1
1
2
ℎ
−
1
(
−
)
(
(
+
1
)
(
−
)
+
(
1
−
1
)
+
(
(
2
−
2
)
+
(
2
1
−
2
1
)
)
)
−
1
1
2
(
(
1
−
+
1
)
−
)
−
1
1
2
(
−
1
1
+
1
2
−
1
1
2
+
1
2
)
+
1
1
(
−
1
+
2
1
)
(
1
9
)
T
h
e
o
p
tim
al
v
alu
es
o
f
1
an
d
1
a
r
e
d
en
o
ted
b
y
1
∗
,
an
d
1
∗
wh
ich
ar
e
o
b
tain
ed
b
y
s
atis
f
y
in
g
th
e
c
o
n
d
itio
n
s
n
ec
ess
ar
y
to
m
in
im
ize
th
e
a
v
e
r
ag
e
to
tal
co
s
t f
u
n
ctio
n
.
̅
̅
̅
̅
1
=
0
(
2
0
)
an
d
̅
̅
̅
̅
1
=
0
(
2
1
)
3
.
4
.
Num
er
ic
a
l
ca
lcula
t
io
ns
I
n
n
u
m
e
r
i
c
a
l
c
a
l
c
u
l
a
ti
o
n
s
,
d
a
ta
p
r
o
v
i
d
e
b
y
U
t
h
a
y
a
k
u
m
a
r
a
n
d
T
h
a
r
a
n
i
[
2
1
]
i
s
u
s
e
d
t
o
t
e
s
t
t
h
e
m
o
d
e
l
f
o
r
m
u
l
a
t
i
o
n
.
T
h
e
c
a
l
c
u
l
a
t
i
o
n
s
a
r
e
s
o
l
v
e
d
u
n
t
i
l
t
h
e
o
p
t
i
m
a
l
v
a
l
u
e
s
1
∗
,
1
∗
a
n
d
̅
̅
̅
̅
a
r
e
o
b
t
a
i
n
e
d
u
s
i
n
g
(
1
8
)
a
n
d
(
1
9
)
.
I
ter
atio
n
1
−
Step
1
:
s
et
1
=
1
in
(
1
8
)
an
d
d
eter
m
in
e
1
.
1
1
(
ℎ
(
−
1
−
(
2
−
2
+
2
1
−
1
+
1
−
1
)
)
+
(
(
1
−
+
1
−
)
+
(
−
3
1
+
2
1
1
1
+
1
)
)
=
0
1
=
0
.
00331808
−
Step
2
:
s
u
b
s
titu
te
1
in
th
e
(
1
9
)
a
n
d
d
eter
m
i
n
e
1
with
th
e
v
alu
e
o
f
1
=
0
.
00331808
.
−
1
1
2
−
1
1
2
ℎ
−
1
(
−
)
(
(
+
1
)
(
−
)
+
(
1
−
1
)
+
(
(
2
−
2
)
+
(
2
1
−
2
1
)
)
)
−
1
1
2
(
(
1
−
+
1
)
−
)
−
1
1
2
(
−
1
1
+
1
2
−
1
1
2
+
1
2
)
+
1
1
(
−
1
+
2
1
)
=
0
1
=
0
.
0728988
−
Step
3
:
s
u
b
s
titu
te
1
in
th
e
(
1
8
)
a
n
d
o
b
tai
n
1
with
1
=
0
.
0728988
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
5
0
2
-
4
7
5
2
I
n
d
o
n
esian
J
E
lec
E
n
g
&
C
o
m
p
Sci
,
Vo
l.
3
9
,
No
.
2
,
Au
g
u
s
t
20
25
:
1
1
4
5
-
1
154
1150
1
1
(
ℎ
(
−
1
−
(
2
−
2
+
2
1
−
1
+
1
−
1
)
)
+
(
(
1
−
+
1
−
)
+
(
−
3
1
+
2
1
1
1
+
1
)
)
=
0
1
=
0
.
000017713
7
−
Step
4
:
r
ep
ea
t
all
s
tep
s
2
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ased
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3
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5
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Sens
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Fo
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o
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ased
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ata
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
d
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J
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C
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m
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1151
Fig
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r
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I
SS
N
:
2
5
0
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2
I
n
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o
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J
E
lec
E
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g
&
C
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p
Sci
,
Vo
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3
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2
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154
1152
4.
CO
NCLU
SI
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ased
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t
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n
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ro
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m
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iwij
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y
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e
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sin
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0
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.
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r
re
se
a
rc
h
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tere
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d
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a
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ial
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in
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ra
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ro
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n
d
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ra
ti
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y
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r
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h
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c
a
n
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o
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ted
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d
ra
wa
ti
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ip
a
.
u
n
sri.
a
c
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i
d
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tr
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iv
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,
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o
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t
h
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m
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tera
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d
o
n
e
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in
1
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7
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e
n
sh
e
re
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h
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r
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c
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in
m
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ti
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s
fro
m
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rti
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v
e
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f
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(CUT)
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u
stra
li
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in
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h
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m
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in
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m
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t
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o
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th
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u
m
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tera
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d
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sin
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9
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.
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r
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se
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rc
h
in
tere
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in
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e
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tern
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.
S
h
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c
a
n
b
e
c
o
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tac
ted
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m
a
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:
fit
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y
a
p
u
sp
it
a
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sri
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a
c
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id
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iti
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o
f
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lay
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in
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r
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fro
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in
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fr
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f
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lay
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in
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n
d
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t
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lt
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n
iv
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f
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lay
a
,
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u
a
la
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u
m
p
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r.
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r
re
se
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rc
h
in
tere
st
in
c
l
u
d
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o
p
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ra
ti
o
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re
se
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rc
h
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i
n
v
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t
o
ry
m
o
d
e
ll
in
g
,
v
e
n
d
o
r
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b
u
y
e
r
c
o
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rd
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n
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ti
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n
).
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h
e
c
a
n
b
e
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o
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tac
ted
a
t
e
m
a
il
:
su
z
li
n
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m
.
e
d
u
.
m
y
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i
Yul
iz
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o
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d
h
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r
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d
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re
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m
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r
i
wijay
a
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rsit
y
,
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o
u
t
h
S
u
m
a
tera
,
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d
o
n
e
sia
in
2
0
0
0
.
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e
n
sh
e
re
c
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d
h
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r
M
.
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i
n
Un
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a
d
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a
d
a
in
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h
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re
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r
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h
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n
m
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th
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tu
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in
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1
fr
o
m
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y
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.
S
h
e
h
a
s
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n
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th
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ti
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t
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e
m
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t
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m
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n
d
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tu
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s
S
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n
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v
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u
t
h
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u
m
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tera
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d
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c
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0
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.
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r
re
se
a
rc
h
in
tere
sts
in
c
lu
d
e
o
p
ti
m
iza
ti
o
n
,
fo
c
u
sin
g
o
n
v
e
h
icle
ro
u
ti
n
g
p
ro
b
le
m
s
a
n
d
it
s
v
a
rian
s.
S
h
e
c
a
n
b
e
c
o
n
tac
ted
a
t
e
m
a
il
:
e
v
iy
u
li
z
a
@m
ip
a
.
u
n
sri
.
a
c
.
id
.
Fa
r
a
h
Na
b
il
a
h
Ta
m
p
u
b
o
lo
n
o
b
tain
e
d
h
e
r
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.
S
i
d
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g
re
e
i
n
m
a
th
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m
a
ti
c
s
fro
m
S
riwij
a
y
a
Un
i
v
e
rsity
,
S
o
u
th
S
u
m
a
tera
,
In
d
o
n
e
sia
in
Ju
n
e
,
2
0
2
4
.
H
e
r
re
se
a
rc
h
in
tere
sts
in
c
lu
d
e
o
p
e
ra
ti
o
n
s
re
se
a
rc
h
,
f
o
c
u
sin
g
o
n
i
n
v
e
n
to
r
y
m
o
d
e
l
f
o
r
p
h
a
rm
a
c
e
u
ti
c
a
l
it
e
m
s.
S
h
e
c
a
n
b
e
c
o
n
tac
ted
a
t
e
m
a
il
:
fa
ra
h
n
a
b
il
a
h
ta
m
p
u
b
o
lo
n
1
1
@g
m
a
il
.
c
o
m
.
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