Scientific Reports,
Год журнала:
2025,
Номер
15(1)
Опубликована: Март 15, 2025
Gray
Wolf
Optimization
(GWO),
inspired
by
the
social
hierarchy
and
cooperative
hunting
behavior
of
gray
wolves,
is
a
widely
used
metaheuristic
algorithm
for
solving
complex
optimization
problems
in
various
domains,
including
engineering
design,
image
processing,
machine
learning.
However,
standard
GWO
can
suffer
from
premature
convergence
sensitivity
to
parameter
settings.
To
address
these
limitations,
this
paper
introduces
Hierarchical
Multi-Step
(HMS-GWO)
algorithm.
HMS-GWO
incorporates
novel
hierarchical
decision-making
framework
that
more
closely
mimics
observed
wolf
packs,
enabling
each
type
(Alpha,
Beta,
Delta,
Omega)
execute
structured
multi-step
search
process.
This
approach
enhances
exploration
exploitation,
improves
solution
diversity,
prevents
stagnation.
The
performance
evaluated
on
benchmark
suite
23
functions,
showing
99%
accuracy,
with
computational
time
3
s
stability
score
0.9.
Compared
other
advanced
techniques
such
as
GA,
PSO,
MMSCC-GWO,
WCA,
CCS-GWO,
demonstrates
significantly
better
performance,
faster
improved
accuracy.
While
suffers
convergence,
mitigates
issue
employing
process
diversity.
These
results
confirm
outperforms
terms
both
speed
quality,
making
it
promising
across
domains
enhanced
robustness
efficiency.
Scientific Reports,
Год журнала:
2025,
Номер
15(1)
Опубликована: Апрель 7, 2025
The
selection
and
scheduling
of
tugboat
matching
schemes
are
key
tasks
in
assistance
operation
management.
With
large
ships
requiring
more
assistance,
a
two-stage
multi-criteria
decision-making
method
is
proposed.
This
includes
normal
distribution-based
multi-attribute
group
with
triangular
fuzzy
numbers
to
determine
scheme
reliability.
A
planning
model
for
multiple
berthing
bases
then
established,
targeting
the
minimization
total
fuel
cost
bi-objective
problem
solved
using
posteriori
method,
actual
data
from
Nansha
Port
validating
proposed
method.
Meanwhile,
priority-based
encoding
Memetic
algorithm
designed
address
characteristics
problem,
solution
results
25
test
cases
generated
range
Guangzhou
compared
analyzed
CPLEX,
genetic
algorithms,
simulated
annealing
algorithms.
verify
feasibility
algorithm.
enhanced
helps
decision-makers
quickly
select
suitable
optimize
scheduling,
demonstrating
effective
reliability
evaluation
optimization.
Scientific Reports,
Год журнала:
2025,
Номер
15(1)
Опубликована: Апрель 8, 2025
As
a
critical
component
of
rotating
machinery,
the
operating
status
rolling
bearings
is
not
only
related
to
significant
economic
interests
but
also
has
far-reaching
impact
on
social
security.
Hence,
ensuring
an
effective
diagnosis
faults
in
paramount
maintaining
operational
integrity.
This
paper
proposes
intelligent
bearing
fault
method
that
improves
classification
accuracy
using
stacked
denoising
autoencoder
(SDAE)
and
adaptive
hierarchical
hybrid
kernel
extreme
learning
machine
(AHHKELM).
First,
(HKELM)
initially
constructed,
leveraging
SDAE's
deep
network
architecture
for
automatic
feature
extraction.
The
functions
address
limitations
single
by
effectively
capturing
both
linear
nonlinear
patterns
data.
Subsequently,
(HHKELM)
refined
through
enhanced
Aquila
Optimizer
(AO)
algorithm,
which
iteratively
optimizes
hyperparameter
combination.
AO
algorithm
further
incorporating
chaos
mapping,
implementing
balanced
search
strategy,
fine-tuning
parameter
[Formula:
see
text],
collectively
improve
its
ability
escape
local
optima
conduct
global
searches,
thus
strengthening
robustness
model
during
optimization.
Experimental
results
CWRU
,
MFPT
JNU
datasets
demonstrate
autoencoder-adaptive
(SDAE-AHHKELM)
better
accuracy,
robustness,
generalization
than
KELM
other
methods.
Scientific Reports,
Год журнала:
2025,
Номер
15(1)
Опубликована: Март 15, 2025
Gray
Wolf
Optimization
(GWO),
inspired
by
the
social
hierarchy
and
cooperative
hunting
behavior
of
gray
wolves,
is
a
widely
used
metaheuristic
algorithm
for
solving
complex
optimization
problems
in
various
domains,
including
engineering
design,
image
processing,
machine
learning.
However,
standard
GWO
can
suffer
from
premature
convergence
sensitivity
to
parameter
settings.
To
address
these
limitations,
this
paper
introduces
Hierarchical
Multi-Step
(HMS-GWO)
algorithm.
HMS-GWO
incorporates
novel
hierarchical
decision-making
framework
that
more
closely
mimics
observed
wolf
packs,
enabling
each
type
(Alpha,
Beta,
Delta,
Omega)
execute
structured
multi-step
search
process.
This
approach
enhances
exploration
exploitation,
improves
solution
diversity,
prevents
stagnation.
The
performance
evaluated
on
benchmark
suite
23
functions,
showing
99%
accuracy,
with
computational
time
3
s
stability
score
0.9.
Compared
other
advanced
techniques
such
as
GA,
PSO,
MMSCC-GWO,
WCA,
CCS-GWO,
demonstrates
significantly
better
performance,
faster
improved
accuracy.
While
suffers
convergence,
mitigates
issue
employing
process
diversity.
These
results
confirm
outperforms
terms
both
speed
quality,
making
it
promising
across
domains
enhanced
robustness
efficiency.