The
vehicle
routing
problem
(VRP)
is
a
combinatorial
optimization
that
involves
finding
optimal
routes
traveled
by
fleet
of
vehicles
to
serve
set
customers.
Ever
since
it
was
introduced,
the
literature
on
VRP
has
expanded
exponentially
and
become
quite
disjointed
disparate.
Given
huge
number
VRP's
field
application
disciplined,
examining
hard.
aim
this
work
trace
evolution
variants
over
years.
We
present
systematic
review
based
285
papers,
using
bibliometric
analysis,
classification
framework.
This
would
enhance
identification
gaps
in
as
result,
lead
future
research
agenda
highlight
scopes
improvements
several
areas.
Sustainability,
Journal Year:
2022,
Volume and Issue:
14(9), P. 5329 - 5329
Published: April 28, 2022
The
growth
in
e-commerce
that
our
society
has
faced
recent
years
is
changing
the
view
companies
have
on
last-mile
logistics,
due
to
its
increasing
impact
whole
supply
chain.
New
technologies
are
raising
users’
expectations
with
need
develop
customized
delivery
experiences;
moreover,
pressure
chains
also
created
additional
challenges
for
suppliers.
At
same
time,
this
phenomenon
generates
an
increase
liveability
of
cities,
traffic
congestion,
occupation
public
spaces,
and
environmental
acoustic
pollution
linked
urban
logistics.
In
context,
optimization
deliveries
imperative
not
only
parcels
be
delivered
areas,
but
administrations
want
guarantee
a
good
quality
life
citizens.
years,
many
scholars
focused
study
logistics
techniques
and,
particular,
last
mile.
addition
traditional
techniques,
disciplines
operations
research,
advances
use
sensors
IoT,
consequent
large
amount
data
derives
from
it,
pushing
towards
greater
big
analytics
techniques—such
as
machine
learning
artificial
intelligence—which
sector.
Based
premise,
aim
work
provide
overview
most
literature
related
techniques;
used
baseline
who
intend
explore
new
approaches
optimization.
A
bibliometric
analysis
critical
review
were
conducted
order
highlight
main
studied
problems,
algorithms
used,
case
studies.
results
allow
studies
clustered
into
models,
approaches,
mixed
methods.
research
gaps
limitations
current
assessed
identify
unaddressed
suggestions
future
approaches.
IEEE Transactions on Emerging Topics in Computational Intelligence,
Journal Year:
2019,
Volume and Issue:
4(3), P. 324 - 335
Published: Oct. 1, 2019
This
paper
studies
an
unmanned
aerial
vehicle
(UAV)-assisted
Internet
of
Things
(IoT)
data
collection
system,
where
a
UAV
is
employed
as
platform
for
group
ground
IoT
devices.
Our
objective
to
minimize
the
energy
consumption
this
system
by
optimizing
UAV's
deployment,
including
number
and
locations
stop
points
UAV.
When
using
evolutionary
algorithms
solve
deployment
problem,
each
individual
usually
represents
entire
deployment.
Since
unknown
priori,
length
in
population
should
be
varied
during
optimization
process.
Under
condition,
variable-length
problem
traditional
fixed-length
mutation
crossover
operators
modified.
In
paper,
we
propose
differential
evolution
algorithm
with
variable
size,
called
DEVIPS,
location
point
encoded
into
individual,
thus
whole
Over
course
evolution,
produce
offspring.
Afterward,
design
strategy
adjust
size
according
performance
improvement.
By
strategy,
can
increased,
reduced,
or
kept
unchanged
adaptively.
since
has
fixed
length,
becomes
used
directly.
The
DEVIPS
compared
that
five
on
set
instances.
experimental
demonstrate
its
effectiveness.
IEEE/CAA Journal of Automatica Sinica,
Journal Year:
2022,
Volume and Issue:
9(7), P. 1115 - 1138
Published: June 30, 2022
The
vehicle
routing
problem
(VRP)
is
a
typical
discrete
combinatorial
optimization
problem,
and
many
models
algorithms
have
been
proposed
to
solve
the
VRP
its
variants.
Although
existing
approaches
contributed
significantly
development
of
this
field,
these
either
are
limited
in
size
or
need
manual
intervention
choosing
parameters.
To
difficulties,
studies
considered
learning-based
(LBO)
VRP.
This
paper
reviews
recent
advances
field
divides
relevant
into
end-to-end
step-by-step
approaches.
We
performed
statistical
analysis
reviewed
articles
from
various
aspects
designed
three
experiments
evaluate
performance
four
representative
LBO
algorithms.
Finally,
we
conclude
applicable
types
problems
for
different
suggest
directions
which
researchers
can
improve
Strategic Management,
Journal Year:
2025,
Volume and Issue:
00, P. 83 - 83
Published: Jan. 1, 2025
Background:
City
logistics
is
a
critical
component
of
urban
economic
development,
as
it
optimizes
supply
chains,
enhances
customer
satisfaction
through
reliable
deliveries,
and
minimizes
environmental
impacts
in
densely
populated
areas.
This
field
addresses
various
challenges,
including
traffic
congestion,
concerns,
noise
pollution,
the
crucial
need
for
timely
deliveries.
Routing
scheduling
are
central
to
operations,
with
modern
software
integrating
time
windows
meet
precise
demands
driven
by
detailed
requirements
operational
efficiencies.
Furthermore,
advanced
vehicle
routing
models
now
effectively
simulate
real-world
factors
such
stochastic
travel
times,
dynamic
product
demands.
Purpose:
paper
aims
develop
an
algorithm
that
decisions.
Our
approach
extends
dimension,
considering
times
service
within
predefined
windows.
Study
design/methodology/approach:
The
proposed
structured
execute
iterative
phases,
aiming
optimize
key
logistical
objectives.
In
order
generate
competitive
solutions,
we
seek
minimize
number
vehicles
utilized
overall
costs.
evaluation
solution
space
was
conducted
via
Simulated
Annealing.
Findings/conclusions:
performance
algorithm,
evaluated
using
Gehring
Homberger
benchmark
instances
200
customers,
demonstrates
its
effectiveness.
successfully
meets
target
required,
associated
costs
on
average
1%
best
solutions
reported
relevant
literature.
Limitations/future
research:
Given
ongoing
from
decision-makers,
future
research
endeavors
will
focus
enhancing
computational
efficiency
algorithm.
Additionally,
incorporating
more
time-related
features,
could
further
improve
algorithm's
real-time
applicability.
International Journal of Production Research,
Journal Year:
2022,
Volume and Issue:
61(7), P. 2250 - 2266
Published: July 14, 2022
As
the
waste
products
have
a
variety
of
connection
structure
characteristics,
energy
consumed
in
tool
switching
disassembly
process
is
considered
to
better
comprehensively
optimise
consumption
index.
A
mixed-integer
non-linear
programming
(MINLP)
model
multi-objective
partial
line
balancing
problem
(PDLBP)
constructed
minimise
four
optimisation
objectives
which
are
number
workstations,
workstation
load,
tools
switched,
and
consumption.
Based
on
characteristics
PDLBP,
we
an
matrix
proposed
improved
social
spider
algorithm
(ISSA).
The
random
movement
mask
change
operations
ISSA
were
improved,
artificial
spiders
added
enhance
global
capabilities
ISSA.
was
applied
two
typical
benchmark
instances,
different
scales,
respectively.
And
computational
results
compared
with
several
algorithms
existing
literature
verify
superiority
Finally,
instance
printer,
switching.
Then,
multiple
schemes
provided
for
decision-makers.
Transportation Research Part E Logistics and Transportation Review,
Journal Year:
2022,
Volume and Issue:
159, P. 102603 - 102603
Published: Feb. 7, 2022
We
study
a
typical
problem
within
the
air
cargo
supply
chain,
concerning
transportation
of
standard
Unit
Load
Devices
(ULDs)
from
freight
forwarders'
to
ground
handlers'
warehouses.
First,
ULDs
are
picked
up
by
set
available
trucks
at
premises
time
window.
Next,
they
delivered
handlers,
also
window,
and
discharged
according
Last
In
First
Out
(LIFO)
policy.
Due
space
constraints,
handlers
have
limited
capacity
serve
waiting
times
may
arise,
especially
in
case
forwarders
do
not
coordinate
their
operations.
Therefore,
this
paper
we
consider
cooperative
framework
where
is
coordinated
central
planner.
The
goal
planner
find
proper
routing
scheduling
that
minimizes
sum
warehouses,
while
satisfying
trucks.
propose
two
mathematical
formulations,
one
based
on
other
packing
aspect
problem.
To
solve
large
instances
problem,
an
Adaptive
Large
Neighborhood
Search
algorithm
developed.
With
numerical
experiments,
compare
performances
models
metaheuristic,
quantify
benefits
proposed
reduce
times.
IEEE Transactions on Intelligent Transportation Systems,
Journal Year:
2020,
Volume and Issue:
23(2), P. 952 - 965
Published: Sept. 10, 2020
The
Vehicle
Routing
Problem
(VRP)
is
a
well-known
NP-hard
combinatorial
optimization
problem,
which
has
wide
spread
applications
in
real
world,
such
as
logistics,
bus
route
planning,
and
urban
path
planning.
To
solve
VRP,
traditional
methods
usually
start
the
search
from
scratch
ignore
VRPs
solved
past,
could
lead
to
repeated
explorations
of
space
related
problems,
thus
results
slow
process
involving
unnecessary
computational
cost.
Keeping
this
mind,
speed
up
for
vehicle
routing,
article
presents
new
study
towards
faster
routing
by
transferring
knowledge
customer
representations
are
learned
past
VRPs.
In
particular,
we
propose
capture
useful
traits
buried
previous
optimized
solutions
learning
representation,
can
be
transferred
across
VRPs,
serving
prior
knowledge,
bias
target
VRP.
contrast
existing
approaches,
proposed
transfer
consist
representation
based
on
solution,
general
possessing
different
structural
properties,
weighted
$l_{1}$
norm-regularized
formulation
building
sparse
mapping
that
easy
solve.
Further,
occurs
along
whole
process,
able
guide
consistently.
verify
efficacy
method,
using
population-based
method
VRP
solver,
comprehensive
empirical
studies
both
commonly
used
benchmarks
world
application
presented.
Mathematics,
Journal Year:
2023,
Volume and Issue:
11(15), P. 3328 - 3328
Published: July 28, 2023
The
Split
Vehicle
Routing
Problem
with
Simultaneous
Delivery
and
Pickup
(SVRPSDP)
consists
of
two
subproblems,
i.e.,
the
(VRPSDP)
(SDVRP).
Compared
to
SVRPSDP
is
much
closer
reality.
However,
some
realistic
factors
are
still
ignored
in
SVRPSDP.
For
example,
shipments
integrated
cannot
be
infinitely
subdivided.
Hence,
this
paper
investigates
Granularity-based
(GSVRPSDP).
characteristics
GSVRPSDP
that
demands
customers
split
into
individual
both
volume
weight
each
shipment
considered.
In
order
solve
efficiently,
a
Genetic-Simulated
hybrid
algorithm
(GA-SA)
proposed,
which
Simulated
Annealing
(SA)
inserted
Genetic
Algorithm
(GA)
framework
improve
global
search
abilities
individuals.
experimental
results
indicate
GA-SA
can
achieve
lower
total
costs
routes
compared
traditional
meta-algorithms,
such
as
GA,
SA
Particle
Swarm
Optimization
(PSO),
reduction
more
than
10%.
further
analysis,
space
utilization
capacity
vehicles
calculated,
86.1%
88.9%,
respectively.
These
values
higher
those
achieved
by
GA
(71.2%
74.8%,
respectively)
PSO
(60.9%
65.7%,
respectively),
confirming
effectiveness
GA-SA.
And
superiority
simultaneous
delivery
pickup
proved
comparing
separate
pickup.
Specifically,
80%