Mathematics,
Journal Year:
2024,
Volume and Issue:
13(1), P. 102 - 102
Published: Dec. 30, 2024
This
study
investigates
the
integrated
multi-objective
scheduling
problems
of
job
shops
and
material
handling
robots
(MHR)
with
minimising
maximum
completion
time
(makespan),
earliness
or
tardiness,
total
energy
consumption.
The
collaborative
MHR
machines
can
enhance
efficiency
reduce
costs.
First,
a
mathematical
model
is
constructed
to
articulate
concerned
problems.
Second,
three
meta-heuristics,
i.e.,
genetic
algorithm
(GA),
differential
evolution,
harmony
search,
are
employed,
their
variants
seven
local
search
operators
devised
solution
quality.
Then,
reinforcement
learning
algorithms,
Q-learning
state–action–reward–state–action
(SARSA),
utilised
select
suitable
during
iterations.
Three
reward
setting
strategies
designed
for
algorithms.
Finally,
proposed
algorithms
examined
by
solving
82
benchmark
instances.
Based
on
solutions
analysis,
we
conclude
that
GA
integrating
SARSA
first
strategy
most
competitive
one
among
27
compared
Mathematics,
Journal Year:
2025,
Volume and Issue:
13(2), P. 256 - 256
Published: Jan. 14, 2025
In
order
to
protect
the
environment,
an
increasing
number
of
people
are
paying
attention
recycling
and
remanufacturing
EOL
(End-of-Life)
products.
Furthermore,
many
companies
aim
establish
their
own
closed-loop
supply
chains,
encouraging
integration
disassembly
assembly
lines
into
a
unified
production
system.
this
work,
hybrid
line
that
combines
processes,
incorporating
human–machine
collaboration,
is
designed
based
on
traditional
line.
A
mathematical
model
proposed
address
collaboration
balancing
problem
in
layout.
To
solve
model,
evolutionary
learning-based
whale
optimization
algorithm
developed.
The
experimental
results
show
significantly
faster
than
CPLEX,
particularly
for
large-scale
instances.
Moreover,
it
outperforms
CPLEX
other
swarm
intelligence
algorithms
solving
problems
while
maintaining
high
solution
quality.
Drones,
Journal Year:
2025,
Volume and Issue:
9(2), P. 79 - 79
Published: Jan. 21, 2025
For
multi-obstacle
complex
scenarios,
the
traditional
artificial
potential
field
method
suffers
from
defects
of
imbalance,
its
capability
to
easily
fall
into
local
minima,
and
encounter
unreachable
targets
in
navigation
environments.
Therefore,
this
paper
proposes
a
three-dimensional
adaptive
algorithm
(SAPF)
based
on
multi-agent
reinforcement
learning.
First,
paper,
gravitational
function
(APF)
is
modified
weaken
effect
UAV
region
far
away
target
point
order
reduce
risk
collision
between
obstacles
during
moving
process.
Second,
close
point,
improves
ensure
that
can
reach
smoothly
realize
path
convergence
by
considering
relative
distance
UAV’s
current
position
point.
Finally,
for
characteristics
trajectory
planning,
3D
state
space
designed
coordinates
UAV,
nearest
obstacle,
point;
an
action
displacement
increment
three
coordinate
axes;
specific
formulas
penalties
optimization
rewards
are
re-designed,
which
effectively
avoids
entering
minimal
points.
The
experimental
results
show
with
learning
plan
shorter
paths
exhibit
better
planning
results.
In
addition,
more
adaptable
scenes
has
anti-interference.
Mathematics,
Journal Year:
2025,
Volume and Issue:
13(4), P. 545 - 545
Published: Feb. 7, 2025
This
paper
tackles
the
green
permutation
flow
shop
scheduling
problem
(GPFSP)
with
goal
of
minimizing
both
maximum
completion
time
and
energy
consumption.
It
introduces
a
novel
hybrid
approach
that
combines
end-to-end
deep
reinforcement
learning
an
improved
genetic
algorithm.
Firstly,
PFSP
is
modeled
using
(DRL)
approach,
named
PFSP_NET,
which
designed
based
on
characteristics
PFSP,
actor–critic
algorithm
employed
to
train
model.
Once
trained,
this
model
can
quickly
directly
produce
relatively
high-quality
solutions.
Secondly,
further
enhance
quality
solutions,
outputs
from
PFSP_NET
are
used
as
initial
population
for
(IGA).
Building
upon
traditional
algorithm,
IGA
utilizes
three
crossover
operators,
four
mutation
incorporates
hamming
distance,
effectively
preventing
prematurely
converging
local
optimal
Then,
optimize
consumption,
energy-saving
strategy
proposed
reasonably
adjusts
job
order
by
shifting
jobs
backward
without
increasing
time.
Finally,
extensive
experimental
validation
conducted
120
test
instances
Taillard
standard
dataset.
By
comparing
method
algorithms
such
(SGA),
elite
(EGA),
(HGA),
discrete
self-organizing
migrating
(DSOMA),
water
wave
optimization
(DWWO),
monkey
search
(HMSA),
results
demonstrate
effectiveness
method.
Optimal
solutions
achieved
in
28
instances,
latest
updated
Ta005
Ta068
values
1235
5101,
respectively.
Additionally,
experiments
30
including
20-10,
50-10,
100-10,
indicate
reduce
Machines,
Journal Year:
2025,
Volume and Issue:
13(2), P. 131 - 131
Published: Feb. 9, 2025
This
paper
addresses
the
Flexible
Job
Shop
Scheduling
Problem
(FJSP)
with
objective
of
minimizing
both
earliness/tardiness
(E/T)
and
intermediate
storage
time
(IST).
An
extended
S-graph
framework
that
incorporates
E/T
IST
minimization
while
maintaining
structural
advantages
original
approach
is
presented.
The
further
enhanced
by
integrating
linear
programming
(LP)
techniques
to
adjust
machine
assignments
operation
timings
dynamically.
following
four
methodological
approaches
are
systematically
analyzed:
a
standalone
for
minimization,
an
combined
hybrid
LP
comprehensive
addressing
IST.
Computational
experiments
on
benchmark
problems
demonstrate
efficacy
proposed
methods,
showing
efficiency
smaller
instances
offering
improved
solution
quality
more
complex
scenarios.
research
provides
insights
into
trade-offs
between
computational
across
different
problem
configurations
policies.
work
contributes
field
production
scheduling
versatile
capable
multi-objective
nature
modern
manufacturing
environments.
Energies,
Journal Year:
2025,
Volume and Issue:
18(4), P. 915 - 915
Published: Feb. 14, 2025
This
study
introduces
a
fuzzy
logic-based
two-degree-of-freedom
PID
(FL2DOF-PID)
controller
that
is
optimized
using
the
Bee
Algorithm
(BA)
to
control
load
frequency
in
two-area
linked
power
system
has
both
reheat
thermal
plants
and
hydro
plants.
To
test
how
well
it
works,
MATLAB/Simulink
simulations
compared
with
PID,
2DOF-PID
controllers,
looking
at
overshoot,
undershoot,
settling
time,
steady-state
error
integral
of
absolute
(IAE).
The
results
showed
FL2DOF-PID
had
lowest
RMSE
(0.0054,
0.0089)
MAE
(0.0041,
0.0065),
as
smallest
IAE
(0.1308)
overshoot
(69.3%
less).
It
also
fastest
time
(5.1528
s)
(0.1338
These
works
reduce
changes,
improve
flow
stability
make
whole
more
reliable
under
changing
conditions.