TELK
OMNIKA
T
elecommunication,
Computing,
Electr
onics
and
Contr
ol
V
ol.
23,
No.
6,
December
2025,
pp.
1718
∼
1728
ISSN:
1693-6930,
DOI:
10.12928/TELK
OMNIKA.v23i6.27007
❒
1718
Escalating
QoS
by
r
ey
optimization
of
CGSTEB
r
outing
pr
otocol
with
subordinate
ener
gy
alert
gateways
R.
Madonna
Arieth
1
,
Ramya
Go
vindaraj
2
,
Subrata
Cho
wdhury
3
,
Thi
Thu
Nguy
en
4
,
Duc-T
an
T
ran
5
1
Department
of
CSE,
V
el
T
ech
Rang
arajan
Dr
.Sagunthala
R&D
Institute
of
Science
and
T
echnology
,
Chennai,
India
2
School
of
Information
T
echnology
and
Engineering
(SITE),
V
ellore
Institute
of
T
echnology
(VIT),
V
ellore
campus,
T
amilnau,
India
3
Sri
V
enkatesw
ara
Colle
ge
of
Engineering
and
T
echnology
(A),
Andhra
Pradesh,
India
4
School
of
Electrical
and
Electronic
Engineering,
Hanoi
Uni
v
ersity
of
Industry
,
Hanoi,
V
ietnam
5
F
aculty
of
Electrical
and
Electronic
Engineering,
Phenikaa
Uni
v
ersity
,
Hanoi,
V
ietnam
Article
Inf
o
Article
history:
Recei
v
ed
Feb
22,
2025
Re
vised
Sep
23,
2025
Accepted
Oct
19,
2025
K
eyw
ords:
Clustering
Firey
optimization
General
self-or
g
anized
tree-based
ener
gy
balancing
Routing
protocols
Subordinate
ener
gy
alert
g
ate
w
ays
W
ireless
sensor
netw
orks
ABSTRA
CT
W
ireless
sensor
netw
orks
(WSNs)
comprise
lar
ge
numbers
of
sensor
nodes
that
are
highly
constrained
by
limited
battery
po
wer
,
making
ener
gy-ef
cient
routing
essential
for
sustaining
netw
ork
lifetime
and
service
quality
.
A
mong
e
xisting
solutions,
the
general
self-or
g
anized
tree-based
ener
gy
balancing
(GSTEB)
pro-
tocol
with
clustering
has
been
widely
adopted
for
ener
gy-a
w
are
communication.
Ho
we
v
er
,
GSTEB
and
its
clustered
v
ariant
often
suf
fer
from
ener
gy
imbalance,
high
pack
et
loss,
and
reduced
quali
ty
of
service
(QoS)
due
to
e
xcessi
v
e
load
on
cluster
heads
(CHs).
T
o
address
these
challenges,
this
paper
introduces
an
enhanced
routing
frame
w
ork
that
inte
grates
rey
optimization
with
clustered
GSTEB
(CGSTEB)
and
introduces
subordinat
e
ener
gy
alert
g
ate
w
ays
(SEA
Gs).
The
rey
algorithm
is
applied
to
optimize
CH
selection
through
a
tness
func-
tion
that
balances
residual
ener
gy
and
node
proximity
,
ensuring
ef
cient
cluster
formation
and
adapti
v
e
load
distrib
ution.
Meanwhile,
SEA
Gs
establish
a
tw
o-
hop
communication
model
between
CHs
and
the
base
station
(BS),
reducing
CH
ener
gy
consumption
and
pre
v
enting
premature
node
f
ailures.
Simulation
e
xper
-
iments
conducted
in
NS2
demonstra
te
that
the
proposed
rey-CGSTEB
with
SEA
G
signicantly
impro
v
es
QoS
metrics,
including
netw
ork
lifetime,
ener
gy
utilization,
throughput,
and
pack
et
loss
rate,
compared
with
con
v
entional
CG-
STEB.
T
hese
results
conrm
the
ef
fecti
v
eness
of
combining
metaheuristic
opti-
mization
with
g
ate
w
ay-assisted
routing
for
resilient
and
ener
gy-ef
cient
WSNs.
This
is
an
open
access
article
under
the
CC
BY
-SA
license
.
Corresponding
A
uthor:
Thi
Thu
Nguyen
School
of
Electrical
and
Electronic
Engineering,
Hanoi
Uni
v
ersity
of
Industry
Hanoi,
V
ietnam
Email:
thunt@haui.edu.vn
1.
INTR
ODUCTION
W
ireless
sensor
netw
ork
(WSN)
has
been
utilized
in
di
v
erse
elds
lik
e
the
military
,
health
care
ser
-
vices,
smart
city
,
remote
monitoring,
industrial
automat
ion,
and
agriculture.
In
healthcare,
sensor
operation
guarantees
uninterrupted
patient
monitoring.
In
smart
cities
there
is
lo
w-ener
gy
communication
in
traf
c,
en
vironmental,
and
utility
monitoring.
Industrial
automation
and
precision
agriculture
can
le
v
erage
this
proto-
col
to
maintain
scalable,
ener
gy-sustainable
sensor
deplo
yments,
minimizing
do
wntime
and
operational
costs.
J
ournal
homepage:
http://journal.uad.ac.id/inde
x.php/TELK
OMNIKA
Evaluation Warning : The document was created with Spire.PDF for Python.
TELK
OMNIKA
T
elecommun
Comput
El
Control
❒
1719
Furthermore,
in
critical
domains
such
as
military
surv
eillance
and
disaster
management,
where
real-time
and
ener
gy-a
w
are
communication
is
vital,
The
netw
ork
consists
of
man
y
sensor
nodes
that
closely
monitor
the
ph
ysical
and
en
vironmental
conditions
[1].
A
sensor
node
collects,
aggre
g
ates,
and
sends
the
en
vironmen-
tal
and
ph
ysical
information
to
base
st
ation
(BS).
Due
to
t
he
nite
node
batteries,
the
netw
ork’
s
lifespan
will
quickly
deplete
whene
v
er
data
is
transmitted
[2],
[3].
In
most
of
the
current
protocols,
mult
i-hop
communi-
cation
is
assumed.
It
might
generate
ener
gy
hole
problems,
especially
when
sensor
nodes
(SNs)
are
close
to
the
BS,
including
unnecessary
transmission
is
o
v
erhead
[4].
Numerous
clustering
protocols
are
proposed
to
a
v
oid
ener
gy-hole
problems
and
e
xtend
netw
ork
lifespan
[5],
[6].
Some
protocols
based
on
ener
gy-ef
cient
routing
played
a
signicant
role
in
enhancing
the
WSNs’
operations
[7],
[8].
There
are
lot
of
routing
protocol
such
as
po
wer
-ef
cient
g
athering
in
sensor
information
sys
tems
(PEGASIS)
is
a
chain
based
routing
protocol,
lo
w-ener
gy
adapti
v
e
clustering
hierarch
y
(LEA
CH)
general
self-or
g
anized
tree-based
ener
gy-balance
(GSTEB)
is
an
tree
based
ener
gy
ef
cient
routing
protocols.
The
ener
gy
ef
cient
clustering
systems
for
WSNs
is
di
vided
into
tw
o
forms.
The
clustering
systems
enforced
in
homogeneous
WSNs
are
called
homogeneous
clustering
systems,
and
another
one
which
is
enforced
in
heterogeneous
WSNs
are
called
heterogeneous
clustering
sys-
tems.Here
heterogeneous
clustering
system
is
used.
In
clustering
techniques
in
WSNs
focus
on
collecting
data
within
groups
of
nodes,
where
leaders
are
elected
from
among
them.
These
leaders,
or
cluster
heads,
are
re-
sponsible
for
aggre
g
ating
the
data
and
transmitting
it
to
the
BS.
I
n
clustering,
the
netw
ork
is
di
vided
into
small
groups.
Each
group
chooses
a
single
node
as
the
cluster
head
(CH),
and
the
e
v
erlasting
will
be
a
non-cluster
node
[9],
[10].
Thus,
clustering
is
a
signicant
perception
for
consistently
spreading
ener
gy
con
v
ention
and
e
xtending
netw
ork
lifetime
in
the
WSN
[11].
The
elect
ion
of
the
CHs
plays
a
signicant
role
in
reducing
the
netw
ork
consumed
ener
gy
and
their
distrib
ution
o
v
erall
in
the
monitoring
area.
F
or
instance,
the
election
of
cluster
heads
proposed
by
the
GSTEB
protocol,
[12],
[13]
is
based
on
randomness,
and
cluster
headcount
uc-
tuates
greatly
.
Figure
1
sho
ws
one
arrangement
of
GSTEB
clustering
with
a
single
hop
to
the
base
station
[9],
[14].
But
GSTEB
pro
vides
a
strong
baseline
for
ener
gy-a
w
are
routing
b
ut
f
ails
to
address
multi-objecti
v
e
opti-
mization,
load
balancing,
and
adaptability
T
o
enhance,
the
opt
imization
techniques
are
utilized
in
much
of
the
literature
[5],
[7].
These
techniques
focus
on
optimized
routing
in
WSNs
such
as
particle
sw
arm
optimization
(PSO)
ant
colon
y
optimization
(A
CO),
and
man
y
others.
But,
one
of
the
proposed
protocols
is
the
clustered
GSTEB
(CGSTEB)
with
optimization
techniques
[4].
As
the
name
suggests,
it
forms
a
cluster
based
on
a
tree
structure.
The
algorithms’
main
challenge
is
to
elect
cluster
heads
with
the
highest
ener
gy
and
close
enough
to
other
nodes
to
reduce
the
data
communication
distance
[14].
So,
PSO
optimization,
for
instance,
tries
to
achie
v
e
a
node
with
the
best
global
and
particle
best
v
alues.
The
global
best
indicates
the
current
data
particle
close
to
the
objecti
v
e
particle,
while
the
particle
best
represents
the
contiguous
molecule
information
that
has
e
v
er
gone
to
the
objecti
v
e.
The
main
dra
wback
of
PSO
optimization
is
that
it
is
easy
to
f
all
into
local
optimum
into
high
computational
space,
which
af
fects
the
qualit
y
of
service
(QoS)
[15],
[16].
Our
proposed
w
ork
tries
to
o
v
ercome
the
dra
wbacks
of
PSO
and
in
v
estig
ates
the
ef
fecti
v
eness
of
applying
rey
optimization
[17],
[18].
Firey
optimization
introduces
a
more
intelligent
and
adapti
v
e
mechanism
for
CH
selection
and
routing.
The
main
idea
of
the
optimal
rey
approach
is
to
k
eep
a
w
ay
from
the
local
minimum
problem,
and
it
will
also
transmit
the
data
e
v
en
though
it
is
v
ery
noisy
.
The
rey
heuristic
is
based
on
the
light
intensity
produced
by
reies.
The
intensity
of
light
produced
is
mapped
to
the
objecti
v
e
function;
hence,
reies
with
lo
w
i
ntensity
are
attracted
to
reies
with
higher
light
intensity
.
A
h
ybrid
v
ersion
of
the
of
the
rey
algorithm,
the
synchronous
rey
algorithm,
is
proposed
based
on
the
insect
reies,
which
will
produce
light.
Here
insect
reies,
where
v
er
a
brighter
sensor
node
in
terms
of
ener
gy
and
distance,
will
attract
the
less
bright
neighboring
sensor
nodes.
Thus,
the
less
bright
sensor
node
can
depend
on
the
brighter
sensor
node
for
data
transfer
,
sa
ving
ener
gy
.
A
tness
function
has
been
designed
based
on
the
combination
of
tw
o
parameters,
ener
gy
and
distance,
which
decide
the
brightness
of
the
sensor
node
[19].
But
only
at
the
lo
w
e
xploration
capability
of
rey
,
which
is
al
w
ays
in
one
direction,
making
it
impossible
at
times
to
achie
v
e
optimal
solutions.
This
can
be
solv
ed
by
using
comple
x
problems,
an
y
function,
or
fractional
order
here.
Because
in
the
meta
-heuristic
rey
algorithm,
randomly
generated
solutions
will
be
considered
as
reies,
and
brightness
is
assigned
depending
on
their
performance
on
the
objecti
v
e
function.
When
it
mo
v
es
for
con
v
er
gence,
the
algorithm
is
indirectly
proportional
to
the
number
of
reies.
so
it
will
run
for
se
v
eral
times
till
it
reaches
the
con
v
er
gent
parameter
set.
If
dif
ferent
results
are
obtained,
it
will
be
too
high;
it
reaches
non-optimal
points.
A
slo
w
con
v
er
gent
parameter
set
should
be
used,
i.e.,
a
lar
ger
number
of
reies
and
a
greater
domain
size.
If
t
he
same
result
is
obtained
ag
ain
and
ag
ain,
b
ut
during
a
lar
ge
fraction
of
the
algorithm.
Our
proposed
w
ork
o
v
ercome
ener
gy
imbalance,
high
pack
et
loss,
and
reduced
QoS
issues
in
traditional
clustering-based
protocols
by
intelligently
selecting
cluster
heads
Escalating
QoS
by
r
ey
optimization
of
CGSTEB
r
outing
pr
otocol
with
...(R.
Madonna
Arieth)
Evaluation Warning : The document was created with Spire.PDF for Python.
1720
❒
ISSN:
1693-6930
and
g
ate
w
ays.
The
ne
xt
phase
is
data
transmission,
where
data
is
transmitted
to
the
base
station
through
the
CHs,
which
produces
a
hea
vy
b
urden
on
CHs.
Therefore,
CHs
ener
gy
might
get
depleted
quickly
.
One
of
the
solutions
is
proposed
as
in
[3],
it
i
s
a
ne
w
subordinate
ener
gy
alert
g
ate
w
ay
(SEA
G)
to
be
implemented,
as
sho
wn
in
Figure
2.
The
g
ate
w
ay
load
is
minimized
when
the
load
balancing
scheme
is
allotted
to
sensor
nodes.
So,
in
this
paper
,
the
g
ate
w
ay
technique
is
applied
for
data
transmission.
The
reusable
g
ate
w
ay
node
is
inserted
into
the
netw
ork
since
the
g
ate
w
ay
node
is
rechar
ged
based
on
the
location
details
[20],
[21].
Our
main
objecti
v
e
is
to
reduce
the
ener
gy
and
increase
the
life
span
of
the
netw
ork.
When
it
i
s
deplo
yed
in
a
remote
area,
when
data
is
transferred
from
source
to
destination,
ener
gy
will
be
e
xhausted.
T
o
a
v
oid
this,
our
proposed
w
ork
is
done.
The
primary
objecti
v
e
of
inte
grating
rey
optimization
with
SEA
Gs
g
ate
w
ays
for
f
ast
con
v
er
gence
,
and
also
frame
w
ork
is
designed
to
balance
multiple
Qo
S
objecti
v
es
such
as
ener
gy
ef
cienc
y
,
f
ault
tolerance,
and
end-to-end
performance
ultimately
enabling
self-optimizing
and
resilient
netw
ork
operation.
T
o
a
v
oid
the
depleted
ener
gy
of
CHs,
the
y
are
e
xchanged
in
rounds
where
ne
w
CHs
are
chosen
in
each
round.
The
CH
is
elected
autonomously
depending
upon
the
position
and
distance
of
the
g
ate
w
ay
and
base
station.
The
nodes
send
t
heir
data
to
CHs,
and
CHs
aggre
g
ate
the
recei
v
ed
data
and
send
the
aggre
g
ated
data
to
the
base
station.
The
cost
of
the
g
ate
w
ay
is
less
when
contrasted
with
dif
ferent
nodes
[21],
[22].
Figure
1.
Clustering
of
sensor
nodes
Figure
2.
SEA
G
node
with
CGSTEB
2.
RELA
TED
W
ORK
The
follo
wing
part
discusses
the
e
xisting
WSN,
ener
gy-ef
cient
routing
protocols,
and
opt
imization
techniques
utilized
for
such
protocols.
Se
v
eral
ener
gy-ef
cient
routing
techniques
encompass
to
increase
en-
er
gy
,
b
ut
satisf
actory
results
were
not
found.
F
or
instance,
Liu
et
al.
[1]
proposed
an
e
x
ecuti
v
e
po
wer
scheme
necessary
for
rotating
inedible
se
gments
to
mak
e
it
possible
with
a
specic
time.
Similarl
y
,
impro
v
ed
ener
gy-
ef
cient
(IEE)-LEA
CH
[2]
is
a
clustering
algorithm
proposed
to
reduce
ener
gy
consumption
and
prolong
the
lifespan
of
sensors.
The
limit
of
the
proposed
IEE-LEA
CH
con
v
ention
had
se
v
eral
boundaries
lik
e
initial,
resid-
ual,
total,
and
a
v
erage
ener
gy
so
that
it
can
pick
up
the
system’
s
po
wer
.
Deepa
and
Rekha
[23],
the
GSTEB
w
as
proposed
in
the
direction
to
construct
routing
tree
techniques
e
v
erywhere
in
support
of
e
v
ery
single
round,
the
BS
assigned
a
root
node
and
communicated
to
e
v
eryone.
After
that,
e
v
ery
node
elects
its
head
by
con-
sidering
only
the
neighbor’
s
information,
making
GSTEB
a
strong
con
v
ention.
Han
et
al.
[17]
e
v
aluated
the
TELK
OMNIKA
T
elecommun
Comput
El
Control,
V
ol.
23,
No.
6,
December
2025:
1718–1728
Evaluation Warning : The document was created with Spire.PDF for Python.
TELK
OMNIKA
T
elecommun
Comput
El
Control
❒
1721
GSTEB
in
terms
of
netw
ork
lifespan
and
load
balancing.
Shah
et
al.
[19]
tried
to
de
v
elop
a
multi-hop
cluster
routing
protocol,
multihop-LEA
CH,
that
follo
ws
cluster
intra
and
inter
-multi-hoping.
Sujae
and
Arulselvi
[9]
proposed
in
WSN
there
will
be
ef
fecti
v
e
data
o
w
among
the
nodes
in
the
clusters.
Here
ener
gy-ef
cient
mod-
ied
clustering
(EMoC)
algorithm
w
as
proposed
for
e
x
ecutes
the
clustering
and
cluster
head
selection.
W
ang
et
al.
[20]
de
v
eloped
there
are
other
techniques
that
use
group
pattern
and
CH
selection
by
PSO
optimization,
genetic
algorithm
has
been
e
xpansi
v
ely
depending
on
CH
select
ion
techniques
through
multi
intention
utility
taking
into
account
po
wer
utilization
along
with
pack
et
delay
.
In
2020,
sho
ws
that
when
we
are
using
a
triax-
ial
(MEMS)
accelerometer
it
is
a
lo
w-cost
sensor
f
which
is
used
f
o
r
measuring
the
acceleration.
The
v
alues
measured
by
the
sensor
are
noisy
and
inaccurate.
Therefore,
calibration
algorithms
needs.
In
the
case
of
an
accelerometer
,
using
the
magnitude
of
the
gra
vity
v
ector
as
a
stable
reference
leads
to
a
nonlinear
optimization
problem.
It
is
achie
v
ed
by
cuck
oo
optimi
zation.
But
the
dra
wback
of
nonlinearly
optimization
will
increase
the
number
of
iterations.
Ahad
et
al.
[21]
re
vie
w
the
rey
algorithm’
s
usage
in
v
arious
rele
v
ant
domains.
The
authors
accompli
shed
that
it
can
control
multi-modal
problems
and
ha
v
e
quick
con
v
er
gence
and
a
lso
conned
look
for
heuristic.
The
authors
of
[24],
[25]
proposed
that
half
con
v
ention
lo
w
ener
gy-a
w
are
g
ate
w
ay
(LEA
G).
Gate
w
ay
is
utilize
d
to
limit
the
vital
ity
utilization,
and
information
is
sent
to
the
base
station.
It
used
Zigbee
to
diminish
ener
gy
utilization
and
routing.
Mehta
and
P
al
[26]
proposed
an
optimization
technique,
which
is
the
formulation
of
determining
the
best
solution
for
purposeful
as
well
as
v
aluable
as
possible
for
limiting
or
augmenting
the
parameters.
PSO
optimization
easily
f
alls
into
local
optimum
into
high
computational
space
so
that
it
af
fects
the
QoS.
3.
PR
OBLEM
FORMULA
TION
Here,
it
is
assumed
that
the
sensor
netw
ork
is
represented
in
the
form
of
graph
G
=
(
V
,
E
)
with
a
set
of
v
ertices
V
=
{
V
1
,
V
2
,
.
.
.
,
V
n
}
and
edges
E
=
{
E
1
,
E
2
,
.
.
.
,
E
m
}
.
It
is
als
o
assumed
that
each
edge
has
a
weight,
see
(1).
W
i
=
(
W
1
i
,
W
2
i
,
W
3
i
,
.
.
.
,
W
pi
)
i
=
1
,
2
,
.
.
.
,
m
(1)
where
W
pi
,
p
=
1
,
2
...
is
the
weight
of
each
edge
p.
x
=
x
1
,
x
2
,
.
.
.
,
x
n
is
identied
using
(2):
with
x
being
the
current
location:
x
i
=
1
0
if
E
i
sel
ecte
d
other
w
ise
(2)
The
objecti
v
es
were
formed
as:
z
1
(
x
)
=
X
n
i
=1
w
1
x
i
(3)
The
objecti
v
es
were
formed
as:
z
2
(
x
)
=
X
n
i
=1
w
2
x
i
(4)
M
inimum
z
p
(
x
)
=
X
n
i
=1
w
n
x
i
(5)
where,
Z
p
(
x
)
is
the
i
th
objecti
v
e
to
be
minimized
for
the
problem,
where
w
1
,
w
2
,
.
.
.
w
n
are
weighing
parameters
(normalized
v
alues),
C
denotes
current
node,
i
is
the
member
and
n
denotes
the
number
of
members
co
v
ered
within
the
cluster
.
Here
are
three
natures
of
administrati
v
e
boundaries,
pack
et
loss
rate,
and
one-w
ay
delay
also
remaining
vitality
is
considered
to
manuf
acture
the
tar
get
w
ork
as
a
minimization.
3.1.
Experimental
The
e
xperimentation
contains
v
arious
steps
essential
to
carry
out
the
intention:
Step
1:
Setting
up
the
netw
ork;
Step
2:
Deplo
ying
sensors;
Step
3:
Creating
SEA
G
g
ate
w
ay
node;
Step
4:
Creating
SEA
G
g
ate
w
ay
node;
Escalating
QoS
by
r
ey
optimization
of
CGSTEB
r
outing
pr
otocol
with
...(R.
Madonna
Arieth)
Evaluation Warning : The document was created with Spire.PDF for Python.
1722
❒
ISSN:
1693-6930
Step
5:
Clustering
GSTEB
appropriately
to
estimate
le
v
els;
Step
6:
Selecting
CH
and
formation
by
utilizing
the
rey
optimization
technique;
Step
7:
Computing
the
sensor’
s
ener
gy
le
v
el;
Step
8:
Stopping.
3.2.
GSTEB
clustering
algorithm
GSTEB
is
a
tree-based
routing
protocol
that
uses
clustering
to
group
nodes
and
select
cluster
heads.
Initially
,
nodes
are
grouped
together
to
form
clusters.
The
cluster
operates
in
a
circular
round-based
manner
.
F
or
the
formation
of
cluster
GSTEB,
one
node
will
be
elected,
and
it
is
compared
with
the
threshold
v
alue
T
(
n
)
,
then
CH
nominated
moreo
v
er
it
residue
as
a
habitual
node.
The
threshold
is
gi
v
en
as
(6),
where
[*]
is
dened
as
a
mathematical
multiplication.
T
(
n
)
=
p
1
−
p
∗
r
mo
d
1
p
if
n
∈
G
(6)
3.3.
Pr
oposed
framew
ork
f
or
r
ey
optimization
The
proposed
algorithm
le
v
erages
the
rey
optimization
te
chnique
to
achie
v
e
ef
cient
CH
selec-
tion
and
ener
gy-a
w
are
routing
in
WSNs.
Firey
is
a
meta-heuristics
algorithm
that
functions
on
the
ordinary
ick
ering
light
of
reie
where
brightness
and
attraction
guide
their
mo
v
ement
to
w
ard
optimal
solutions.
By
modeling
light
intensity
as
tness
v
alues
and
updating
positions
iterati
v
ely
,
the
algorit
hm
ensures
minimized
ener
gy
consumption,
balanced
load
distrib
ution,
and
enhanced
netw
ork
lifetime.
The
elements
of
reies
are
as
per
the
follo
wing:
(i)
Ev
ery
rey
can
be
eng
aged
to
another
independent
of
the
same
gender
.
(ii)
The
rey’
s
sparkle
is
compared
with
its
attraction,
and
among
pairs,
which
increasingly
shines
that
will
attract
the
one
with
minor
brightness.
A
rey
will
mo
v
e
randomly
if
it
can’
t
nd
an
y
increasingly
splendid
neighboring
reies.
(iii)
Then,
the
scientic
reproduction,
the
rey’
s
brilliance,
depends
upon
goal
w
ork.
Mainly
,
it
is
a
meta-heuristic
capable
of
pro
viding
the
nest
solution
to
solv
e
a
multi-objecti
v
e
prob-
lem.
By
using
the
ne
w
tness
function,
quality
of
services
lik
e
ener
gy
,
loss
of
pack
et,
and
o
v
erall
delay
from
source
to
destination
are
gi
v
en
by:
F
(
x
)
=
(
P
dr
/
P
tot
)
×
(
E
r
/
E
in
)
e
−
e
dl
/
e
mx
(7)
where,
P
dr
presents
the
number
of
pack
ets
dropped;
P
tot
indicates
the
total
number
of
pack
ets
sent;
E
r
is
the
residual
ener
gy
in
nod
e
i
;
E
in
is
the
initial
ener
gy
.
e
dl
is
the
end-to-end
delay;
e
mx
is
the
maximum
allo
w
able
delay
.
The
cluster
formation
and
CH
selection
in
reies
are
gi
v
en.
In
the
rey
calculation
(Mehta
et
al.
2017),
the
v
ariety
of
li
g
ht
force
and
the
issue’
s
plan
for
eng
aging
quality
are
ur
gent
as
the
tar
get
w
ork
is
encoded
into
it.
The
light
po
wer
is
determined
to
utilize
γ
;
the
x
ed
light
ingestion
coef
cient
and
the
light
force
I
can
be
gured
dependent
on
separation
r
with
the
end
goal
that:
I
=
I
0
e
−
γ
r
(8)
where,
I
0
is
the
beam
strength.
The
appeal
β
of
a
rey
is
yielded.
β
(
r
)
=
β
e
−
γ
r
2
(9)
where
v
er
β
is
the
charm
at
r
=
0
.
The
space
connecting
pair
nodes
of
reies
be
able
to
calculate
by
their
Euclidean
distance
as:
r
ij
=
q
(
x
i
−
x
j
)
2
+
(
y
i
−
y
j
)
2
(10)
A
rey
i
mo
v
es
to
a
more
attracti
v
e
rey
j
by:
x
i
=
x
i
+
β
e
−
λr
2
(
x
j
−
x
i
)
+
α
(rand
−
1
/
2)
(11)
In
the
proposed,
it
is
cate
gorized
then
the
greatest
one
is
elected
as
challenges.
The
elect
ed
one
wi
ll
replicate
themselv
es
by
crosso
v
er
and
transformation.
The
ne
w-f
angled
one
is
inserted
into
the
group,
and
subsequently
,
iteration
is
sustained.
Ef
cient
data
transmission
is
an
important
aspect
of
WSN.
T
o
transmit
the
data
from
BS
will
reduce
the
ener
gy
,
so
here
we
propose
a
SEA
G
to
increase
the
ener
gy
between
BS
and
g
ate
w
ay
.
TELK
OMNIKA
T
elecommun
Comput
El
Control,
V
ol.
23,
No.
6,
December
2025:
1718–1728
Evaluation Warning : The document was created with Spire.PDF for Python.
TELK
OMNIKA
T
elecommun
Comput
El
Control
❒
1723
3.4.
SEA
G
T
o
reduce
the
b
urden
of
the
cluster
head,
A
ne
w
no
v
el-based
SEA
G
is
proposed
so
the
cluster
head
close
to
the
g
ate
w
ay
will
transmit
the
message
and
then
transmit
it
to
the
sink.
When
the
g
ate
w
ay
node
po
wer
is
lo
w
,
it
can
be
rechar
geable
so
that
its
cost
is
reduced.
The
time
di
vision
multiple
access
(TDMA)
time
scheduled
is
calculated
for
each
round.
The
distance
is
calculated
between
the
g
ate
w
ay
and
the
base
station.
The
Zigbee
is
used
to
connect
the
nodes
to
the
g
ate
w
ay
.
It
also
sa
v
es
ener
gy
and
reduces
the
cost
of
the
netw
orks.
So
the
transmission
and
process
should
be
good
quality
.
As
sho
wn
in
Algorithm
1
and
Algorithm
2,
the
proposed
SEA
G
method
inte
grates
the
rey
optimization
and
g
ate
w
ay-selection
processes
to
enhance
ener
gy
ef
cienc
y
.
Algorithm
1
Firey
optimization
technique
Input
:
Declare
x
=
x
1
,
x
2
,
....
x
m
Let
s
be
the
primary
population
x
i
,
(
i
=
1
,
2
,
...n
)
Output
:
The
beam
strength
I
s
on
x
i
be
intent
on
Pr
ocess
:
Describe
light
inclusion
coef
cient
γ
while
(
s
<
Maximum)
f
or
i
=
1
to
n
f
or
j
=
1
to
i
if
then
(
W
i
>
W
j
)
{
The
mo
v
ement
of
light
emulation
is
between
i
through
to
j
}
end
if
{
Charm
di
v
er
ges
amid
the
distance
r
via
e
−
γ
r
;
estimate
ne
w-f
angled
solution
and
bring
up
to
date
brightness
strength
}
end
f
or
j
end
f
or
i
Ranking
rey
along
with
getting
the
recent
nest;
end
while
Algorithm
2
SEA
G
g
ate
w
ay
Input
:
Distance
and
the
place
of
the
g
ate
w
ay
node
of
coordinate
(
x,
y
)
;
Let
(
n
)
be
the
threshold
v
alue;
Output
:
The
result
indicates
that
the
space
among
g
ate
w
ay
node
and
base
station
is
calculated
for
e
xpenditure
reduction.
Pr
ocess
:
Begin
Sends
an
advisement
message
to
the
g
ate
w
ay
node;
{
F
or
e
v
ery
CH
and
g
ate
w
ay
node,
If
(CH
==
x
&&
y)
{
locate
x
=
x
1
and
If
g
ate
w
ay
node
turns
=
f
alse
The
g
ate
w
ay
node
with
locations
x
and
y
is
indicated
as
x
2
and
y
2
;
{
If
it
is
a
g
ate
w
ay
node
the
space
and
the
position
are
calculated
as:
G
(
i,
j
)
=
s
(
i
)
E
s
(
i
)
ma
x
+
d
(
i,
j
)
x
2
+
d
(
j
,
x
)
x
2
d
(
j
,
s
)
d
(
i,
s
)
(12)
}
else
Euclidean-distance
between
CH
and
g
ate
w
ay
node
is
a
nearer
distance;
If
nearer
space
<
minutest
distance
Current
distances
is
no
w
assigned
to
minutest
distance
Cluster
g
ate
w
ay
node
ID
is
assigned
as
a
nearer
g
ate
w
ay
node
to
cluster
-head;
else
g
ate
w
ay
node
turns
=
true;
}
End
3.5.
Ener
gy
model
In
WSN,
a
vitality
model
is
intended
to
compute
ener
gy
loss
in
e
v
ery
sensor
node
while
commu-
nicating
with
other
sensors.
There
are
tw
o
types
of
communication
channels:
T
w
o-w
ay
channel
distrib
ution
and
multipath
channel
for
pack
et
transmission
by
means
of
multi-jump
are
utilized
here.
Hence,
the
ener
gy
e
xhausted
for
transmission
of
pack
et
o
v
er
distance
is
determined
by:
E
t
x
(
k
,
d
)
=
E
el
eck
∗
k
+
e
f
s
∗
k
∗
d
2
,
if
(
d
<
d
0
)
E
el
eck
∗
k
+
e
amp
∗
k
∗
d
4
,
if
(
d
>
d
0
)
(13)
Escalating
QoS
by
r
ey
optimization
of
CGSTEB
r
outing
pr
otocol
with
...(R.
Madonna
Arieth)
Evaluation Warning : The document was created with Spire.PDF for Python.
1724
❒
ISSN:
1693-6930
where,
e
f
s
is
free
space
ener
gy
loss,
e
amp
is
a
multipath
loss,
d
is
a
distance
between
source
and
destination
nodes,
and
d
0
is
crosso
v
er
distance:
d
0
=
r
ε
f
s
ε
amp
(14)
The
ener
gy
spend
by
radio
E
RX
(
k
)
=
k
∗
E
elect
(15)
4.
RESUL
TS
AND
DISCUSSION
The
proposed
rey-CGSTEB
with
SEA
G
frame
w
ork
w
as
e
v
aluated
using
the
NS2
simulator
.
The
netw
ork
w
as
deplo
yed
o
v
er
a
100
×
100
m²
area
with
the
base
station
x
ed
at
coordinates
(100,100).
A
t
otal
of
300
sensor
nodes
were
randomly
distrib
uted
to
emulate
realistic
deplo
yment.
Each
node
w
as
assigned
an
initial
ener
gy
b
udget
of
0.01
J.
Communication
parameters
were
set
to
a
transmission
po
wer
of
60
nJ/bit,
reception
po
wer
of
60
nJ/bit,
and
amplier
ener
gy
of
100
pJ.
T
o
ensure
statistical
reliability
,
each
e
xperiment
w
as
repeated
30
independent
runs,
and
the
reported
results
represent
the
mean
v
alues
with
95
%
condence
interv
als.
Standard
de
viations
are
pro
vided
in
the
performance
tables,
and
statistical
signicance
w
as
conrmed
using
t-tests
comparing
the
proposed
approach
with
baseline
protocols
(con
v
entional
CGSTEB
and
Firey-CGSTEB).
T
able
1
sho
ws
a
range
of
the
simulation
parameters
used
by
the
NS2
simulator
.
These
parameters,
such
as
pack
et
loss
rate,
one-w
ay
delay
,
ener
gy
consumption,
and
throughput,
are
sho
wn
as
in
Figures
3
and
4.
T
able
1.
General
simulation
parameters
P
arameters
V
alues
Area
of
the
netw
ork
100,100
Position
of
base
station
100,100
T
otal
number
of
nodes
300
Battery
early
po
wer
0.01
Battery
transmitter
po
wer
60
nJ/bit
Battery
recei
v
er
po
wer
60
nJ/bit
T
ransmit
amplier
100
pJ
Ener
gy
for
aggre
g
ation
5
nJ
Max
lifespan
200
Message
range
2000
bits
Figure
3.
P
ack
et
loss
rate
Figure
4.
End-to-end
delay
In
the
pack
et
loss
rate,
the
number
of
nodes
is
v
aried
from
50,
100,
150,
200,
and
250;
with
the
pack
et
loss,
where
the
node
increases,
the
pack
et
loss
rate
is
decreased.
It
denotes
that
the
proposed
rey
CGSTEB
with
SEA
G
g
ate
w
ay
is
more
ef
cient
when
compared
to
the
e
xisting
g
ate
w
ay
.
The
pack
et
loss
rate
of
the
proposed
rey
CGSTEB
with
SEA
G
has
86%
of
lesser
tha
n
the
pre
vious
Firey
based
CGSTEB.
In
Figure
4,
end-to-end
de
lay
is
the
amount
of
occasion
in
use
to
broadcast
a
frame
through
the
system
from
be
ginning
TELK
OMNIKA
T
elecommun
Comput
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Control,
V
ol.
23,
No.
6,
December
2025:
1718–1728
Evaluation Warning : The document was created with Spire.PDF for Python.
TELK
OMNIKA
T
elecommun
Comput
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Control
❒
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to
end.
The
number
of
nodes
is
v
aried
from
50,
100,
150,
200,
and
250
with
the
delay
.
Here
where
the
node
increases,
the
ti
me
tak
en
to
transmit
the
pack
et
also
increases.
So,
Figure
4
sho
ws
the
proposed
rey
CGSTEB
with
the
SEA
G
g
ate
w
ay
will
be
increased
in
time
to
deli
v
er
the
pack
et
from
end-to-end
nodes.
The
higher
end-
to-end
delay
in
the
proposed
p
r
otocol
is
lik
ely
due
to
a
combination
of
node
increase,
routing
comple
xity
,
and
possibly
ener
gy-ef
cient
strate
gies.
Despite
this,
the
protocol
is
well-suited
for
applications
where
ener
gy
ef
cienc
y
,
reliability
,
or
non-time-critical
data
transmission
is
more
important
than
immediate
data
deli
v
ery
.
Finally
,
the
delay
of
the
planned
mo
v
e
to
w
ards
90%
higher
than
CGSTEB
and
rey
CGSTEB.
Observing
Figure
5,
e
ner
g
y
consumption
describes
the
entire
quantity
of
ener
gy
inspired
by
the
nodes
to
broadcast
the
frame.
Here
the
ener
gy
v
aries
in
rounds.
It
is
measured
by
Joules.
Figure
5
represents
the
graphical
representation
of
ener
gy
.
When
the
round
increases,
the
ener
gy
decreases.
Here,
the
proposed
rey
CGSTEB
sho
ws
ener
gy
consumption.
Here
the
graph
X-axis
represents
the
number
of
rounds
and
Y
-axis
represent
ene
r
gy
measured
by
Joules.
The
illustration
of
ener
gy
for
approach
wit
h
dif
ferent
round
consequences.
It
is
accomplished
that
the
ener
gy
consumption
for
proposed
rey
CGSTEB
with
a
SEA
G
approach
of
89%
is
lesser
than
the
e
xisting.
In
the
fourth
e
xperiment,
we
implement
to
e
v
aluate
the
netw
ork
throughput.
The
number
of
sensor
nodes
is
v
aried
from
50,
100,
150,
200,
and
250.
The
simulation
result
is
sho
wn
in
Figure
6.
In
where,
the
number
of
nodes
increases,
the
throughput
will
increase.
Although
throughput
and
delay
ha
v
e
an
in
v
erse
relationship,
under
some
circumstances,
both
might
increase
at
the
same
time
due
to
a
v
ariety
of
causes
including
congestion,
retransmissions,
and
netw
ork
conditions.
Ho
we
v
er
,
the
throughput
of
our
proposed
approach
is
higher
76%
than
e
xisting
one.
Figure
5.
Comparison
of
ener
gy
consumption
Figure
6.
Comparison
of
netw
ork
throughput
Escalating
QoS
by
r
ey
optimization
of
CGSTEB
r
outing
pr
otocol
with
...(R.
Madonna
Arieth)
Evaluation Warning : The document was created with Spire.PDF for Python.
1726
❒
ISSN:
1693-6930
W
e
summarizes
the
performance
of
the
proposed
Firey-CGSTEB
with
SEA
G
prot
ocol
compared
with
CGSTEB,
Firey-CGSTEB,
PSO-GSTEB,
and
LEA
CH.
The
results
clearly
demonstrate
the
adv
antages
of
our
approach:
pack
et
loss
w
as
reduced
by
86.2%,
ener
gy
consumpti
on
decreased
by
76.2%,
netw
ork
lifetime
increased
by
88.7%,
and
throughput
impro
v
ed
by
72.4%
relati
v
e
to
CGSTEB.
These
impro
v
ements
are
consis-
tent
across
30
independent
simulation
runs,
with
mean
v
alues
and
standard
de
viations
reported.
The
substantial
g
ains
highlight
the
ef
fecti
v
enes
s
of
combining
Firey-based
cluster
head
select
ion
with
SEA
G-assisted
routing,
particularly
in
e
xtending
netw
ork
lifetime
and
ensuring
reliable
data
deli
v
ery
.
Ov
erall,
the
results
conrm
that
the
proposed
Firey-CGSTEB
with
SEA
G
frame
w
ork
subs
tantially
impro
v
es
QoS
metrics
in
WSNs.
The
impro
v
ements
in
pack
et
deli
v
ery
,
ener
gy
ef
cienc
y
,
and
lifetime
are
statistically
signicant
and
rob
ust,
while
the
increase
in
end-to-end
delay
represents
a
manageable
trade-of
f
de-
pending
on
the
application
domain.
This
mak
es
the
protocol
particularly
well-suited
for
smart
city
monitoring,
healthcare
sensing,
and
industrial
automation,
where
long-term
stability
and
reliability
are
more
critica
l
than
real-time
response.
5.
CONCLUSION
The
clusteri
ng
GSTEB
i
s
non-deterministic
polynomial-time
hard
(NP-hard)
in
nature.
Here
inte
gra-
tion
of
rey
optimization
with
the
SEA
G
enhances
the
o
v
erall
performance
of
WSNs
by
ef
fecti
v
e
selecting
the
cluster
head
and
formation
of
cluster
for
data
trans
mission.
Based
on
tness
v
alue,
rey
optimization
selects
the
most
suitable
cluster
heads
and
there
by
it
balances
the
intra-cluster
ener
gy
consumption
and
pro-
longing
netw
ork
lifetime.
The
introduction
of
SEA
G
between
the
cluster
heads
and
the
base
station
reduces
the
communication
head
b
urden,
reduces
pack
et
loss
and
delay
,
and
ensures
f
aster
data
transmission,
leading
to
impro
v
ed
QoS
compared
to
e
xisting
approaches
such
as
clustered
GSTEB
and
standalone
rey
clustering.
The
k
e
y
contrib
utions
of
this
study
lie
in
optimizing
ener
gy
ef
cienc
y
,
e
xtending
netw
ork
usage,
and
achie
ving
more
stable
data
routi
ng.
Despite
this,
there
are
some
constraints,
such
as
the
computational
o
v
erhead
of
the
metaheuristic
optimization
process
and
practical
dif
culties
in
real-w
orld
scenario.
In
the
future,
the
focus
will
be
on
v
alidating
the
approach
through
real-w
orld
testbeds
and
e
xamining
h
ybrid
optimization
methods
to
reduce
comple
xity
and
strengtheni
n
g
SEA
G
nodes
with
lightweight
security
m
echanisms
to
safe
guard
ag
ainst
potential
vulnerabilities.
FUNDING
INFORMA
TION
Authors
state
no
funding
in
v
olv
ed.
A
UTHOR
CONTRIB
UTIONS
ST
A
TEMENT
This
journal
uses
the
C
ontrib
utor
Roles
T
axonomy
(CRediT)
to
recognize
indi
vidual
author
contrib
u-
tions,
reduce
authorship
disputes,
and
f
acilitate
collaboration.
Name
of
A
uthor
C
M
So
V
a
F
o
I
R
D
O
E
V
i
Su
P
Fu
R.
Madonna
Arieth
✓
✓
✓
✓
✓
✓
✓
Ramya
Go
vindaraj
✓
✓
✓
✓
✓
✓
✓
✓
Subrata
Cho
wdhury
✓
✓
✓
✓
✓
✓
✓
Thi
Thu
Nguyen
✓
✓
✓
✓
✓
✓
✓
✓
✓
✓
Duc-T
an
T
ran
✓
✓
✓
✓
✓
C
:
C
onceptualization
I
:
I
n
v
estig
ation
V
i
:
V
i
sualization
M
:
M
ethodology
R
:
R
esources
Su
:
Su
pervision
So
:
So
ftw
are
D
:
D
ata
Curation
P
:
P
roject
Administration
V
a
:
V
a
lidation
O
:
Writing
-
O
riginal
Draft
Fu
:
Fu
nding
Acquisition
F
o
:
F
o
rmal
Analysis
E
:
Writing
-
Re
vie
w
&
E
diting
CONFLICT
OF
INTEREST
ST
A
TEMENT
Authors
state
no
conict
of
interest.
TELK
OMNIKA
T
elecommun
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Control,
V
ol.
23,
No.
6,
December
2025:
1718–1728
Evaluation Warning : The document was created with Spire.PDF for Python.
TELK
OMNIKA
T
elecommun
Comput
El
Control
❒
1727
D
A
T
A
A
V
AILABILITY
The
data
that
support
the
ndings
of
this
study
are
a
v
ailable
from
the
corresponding
author
,
[N.T
.T],
upon
reasonable
request.
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Escalating
QoS
by
r
ey
optimization
of
CGSTEB
r
outing
pr
otocol
with
...(R.
Madonna
Arieth)
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