Journal of Mathematics,
Journal Year:
2025,
Volume and Issue:
2025(1)
Published: Jan. 1, 2025
Gradient‐Based
Optimizer
(GBO)
is
a
highly
mathematics‐based
metaheuristic
algorithm
that
has
garnered
significant
attention
since
its
introduction.
It
offers
several
inherent
advantages,
such
as
low
computational
complexity,
rapid
convergence,
and
easy
implementation.
However,
GBO
some
drawbacks,
including
lack
of
population
diversity
tendency
to
get
trapped
in
local
optima.
To
address
these
shortcomings,
this
research
introduces
an
improved
version
(iGBO).
In
iGBO,
introducing
the
Sobol
sequence
strategy
ensures
higher‐quality
initial
enhances
convergence
speed.
Additionally,
new
modified
Local
Escaping
Operator
(LEO)
proposed,
which
incorporates
sine‐cosine
operator
DCS/Xbest/Current‐to‐2rand
strategy.
This
LEO
improves
optimization
efficiency
boosts
search
capability,
helping
avoid
The
superiority
iGBO
thoroughly
verified
through
comparisons
with
original
well‐known
newly
developed
algorithms
on
IEEE
CEC’2022
benchmark
suite.
Furthermore,
proposed
approach
applied
extract
photovoltaic
system’s
global
maximum
power
point
(MPP)
under
shading
conditions.
Three
different
patterns
are
considered
assess
reliability
iGBO.
performance
compared
leading
algorithms,
Particle
Swarm
Optimization
(PSO),
Reptile
Search
Algorithm
(RSA),
Black
Widow
(BWOA),
Pelican
OA
(POA),
Chimp
(ChOA),
Osprey
(OOA),
GBO.
results
reveal
iGBO‐based
MPPT
consistently
outperforms
competitors
identifying
MPP
various
conditions
followed
by
PSO,
while
RSA
performs
least
effectively.
Scientific Reports,
Journal Year:
2025,
Volume and Issue:
15(1)
Published: March 7, 2025
Metaheuristic
search-based
optimization
strategies
have
recently
emerged
to
obtain
approximated
models
for
interconnected
complex
power
systems.
However,
these
algorithms
are
frequently
criticized
randomly
selecting
lower
and
upper
search
space
boundaries
taking
longer
simulate.
The
incorrect
selection
of
suitable
each
unknown
decision
variable
may
result
in
an
inaccurate
or
unstable
reduced
model.
This
proposal
introduces
interim
model
(IRM)
concept
select
a
tight
solution
the
algorithm.
balanced
residualization
method
(BRM)
obtains
IRM,
geometric
mean
(GMO)
algorithm
tunes
coefficients.
proposed
has
appealing
feature:
IRM
obtained
by
BRM
structures
GMO
rather
than
leaving
it
completely
arbitrary.
finds
ideal
coefficients
minimizing
weighted
error
index.
primary
benefit
employing
IRM-based
limitations
is
that
they
guarantee
focused
with
viable
answers
stability.
Furthermore,
maintaining
transient
gain
mitigates
BRM's
high-frequency
spectrum
disadvantage.
Three
system
from
literature
support
method,
contrasting
state-of-the-art
MOR
methodologies.
Journal of Optimization,
Journal Year:
2024,
Volume and Issue:
2024(1)
Published: Jan. 1, 2024
The
multiobjective
(MO)
optimizers
show
great
promise
in
solving
constrained
engineering
structural
problems.
This
paper
introduces
a
MO
version
of
the
Brown
Bear
Optimization
(BBO)
algorithm,
inspired
by
foraging
behavior
brown
bears.
proposed
Multiobjective
(MOBBO)
algorithm
is
applied
to
five
optimization
problems,
including
10‐bar,
25‐bar,
60‐bar,
72‐bar,
and
942‐bar
trusses,
aiming
minimize
both
mass
maximum
nodal
deflection
simultaneously.
Comparative
evaluations
against
six
benchmark
algorithms
demonstrate
MOBBO’s
superior
convergence,
solution
diversity,
effectiveness
addressing
highly
hypervolume
(HV)
inverted
generational
distance
(IGD)
metrics
place
MOBBO
first
rank
according
Friedman
test,
with
an
average
standard
deviation
0.0002.
Moreover,
spacing‐to‐extent
(STE)
(GD)
second.
final
test
highlights
overall
dominance,
achieving
rank.
Best
Pareto
plots,
diversity
graphs,
box
plot
analyses
further
suggest
performance
convergence
compared
existing
algorithms.
Therefore,
can
be
effectively
various
tasks
industry,
offering
refined
global
solutions
contributing
valuable
insights
field
Results in Engineering,
Journal Year:
2024,
Volume and Issue:
21, P. 101760 - 101760
Published: Jan. 9, 2024
This
research
addresses,
from
a
perspective
of
metaheuristic
optimization,
the
problem
regarding
parametric
estimation
in
single-phase
transformers
while
considering
voltage
and
current
measures
at
terminals
transformer
weighing
linear
loads.
Transformer
is
modeled
as
nonlinear
order
to
minimize
mean
square
error
between
calculated
variables
measurements
taken.
The
nonlinearities
are
associated
with
Kirchhoff's
first
second
laws
applied
equivalent
electrical
circuit
transformer.
optimization
solved
by
applying
algorithm
known
generalized
normal
distribution
optimizer
(GNDO),
which
uses
evolution
rules
that
allow
exploring
exploiting
solution
space
via
classical
probability
function
based
on
distributions.
Numerical
results
three
test
20,
45,
112.5
kVA
demonstrate
effectiveness
robustness
proposed
GNDO
approach
when
compared
other
optimizers
reported
literature,
such
crow
search
algorithm,
coyote
exact
model
using
fmincon
solver
MATLAB
software.
All
numerical
simulations
confirm
potential
deal
complex
problems
engineering
science
promising
low
computational
effort.
Engineering Applications of Computational Fluid Mechanics,
Journal Year:
2024,
Volume and Issue:
18(1)
Published: Feb. 29, 2024
Energy-related
CO2
emissions
are
one
of
the
biggest
concerns
facing
urban
design
today,
increasing
rapidly
as
cities
grow.
This
study
uses
inputs
GDP
G8
nations
(from
1990
to
2016)
depending
on
utilization
various
energy
sources,
including
coal,
oil,
natural
gas,
and
renewable
energy.
Multilayer
perceptrons
(MLP)
combined
with
nature-inspired
optimization
algorithms,
such
Heap-Based
Optimizer
(HBO),
Teaching-Learning-Based
Optimization
(TLBO),
Whale
Algorithm
(WOA),
Vortex
Search
algorithm
(VS),
Earthworm
(EWA),
create
a
dependable
predictive
network
that
takes
complexity
problem
into
account.
Our
key
contributions
lie
in
developing
comprehensively
evaluating
these
hybrid
models
assessing
their
efficacy
capturing
intricate
dynamics
carbon
emissions.
The
found
TLBO
VS
outperform
other
algorithms
emission
computation
accuracy.
has
higher
training
MSE
(3.6778)
lower
testing
(4.4673),
suggesting
larger
squared
errors
data
MSE,
less
overfitting
due
better
generalization
set.
IEEE Access,
Journal Year:
2024,
Volume and Issue:
12, P. 36280 - 36295
Published: Jan. 1, 2024
Across
the
globe,
adoption
of
electric
vehicles
(EVs),
particularly
in
mass
transit
systems
such
as
buses
(E-bus),
is
on
rise
modern
cities.
This
surge
attributed
to
their
environmentally
friendly
nature,
zero
carbon
emissions,
and
absence
engine
noise.
However,
charging
E-bus
batteries
could
impact
peak
demand
main
grid
its
overall
serviceability,
especially
when
numerous
are
charged
simultaneously.
scenario
may
also
lead
increased
energy
costs.
To
address
previously
mentioned
issue,
battery
swapping
employed
at
station
lieu
conventional
charging.
In
this
paper,
approach
utilized
establish
optimal
schedule
for
E-buses,
taking
into
account
both
costs
peak-to-average
ratio
(PAR).
The
stations
incorporate
photovoltaic
(PV)
power
generation
source.
Three
metaheuristic
algorithms—namely,
binary
bat
algorithm
(BBA),
whale
optimization
(WOA),
grey
wolf
optimizer
(GWO)—are
identify
conditions.
simulation
results
demonstrate
that
integrating
with
a
PV
system
an
can
effectively
lower
PAR
compared
traditional
methods
stations.
derived
through
GWO
technique
outperforms
those
obtained
from
WOA
BBA
techniques.
resulted
notable
reduction
758.41
580.73
kW,
corresponding
23.43%
decrease
demand.
integration
scheduling
installation
significant
27.63%
As
per
results,
optimized
has
potential
enhance
serviceability
station.