mathematical models considering mixed-models
production. Moon et al. (2018) investigated the effect
of mixed-model production in a body shop using
simulation, but they did not consider under body lines.
As the increasing demands of eco-friendly car
such as hybrid cars or electric cars, most of
automotive companies are confronted to change the
layout concept of body shop. In general, they produce
both hybrid car and internal combustion engine type
car (we call it as the engine car) for the same car
model in the same line, because both of cars can share
same body structures. In the case of hybrid car with
front-wheel drive, engine, motor and transmission are
installed in the front of car body, and battery pack and
fuel tank are usually installed in the rear area of car
body.
However, in an electric car, a flat battery pack is
installed on whole underbody because of weight
balance. Thus, the under body structure of electric car
is distinguished from that of engine car by its fully
enclosed, smooth underbody. Furthermore, the
material of the underbody of electric car can be
different from that of engine car, and it results in
different adhesive operations. It is the reason that
automotive companies tend to separate under body
line as the two, one for engine car (or hybrid car) and
the other for electric car. This is one of the motives of
our study.
Another situation considered in this paper is
reconfiguration. At the beginning, the production
quantity of electric car is small, but the demand of
electric car increases and it will substitute the engine
car gradually. Thus, the capacity of the under body
line of electric car should be expanded, and that of
engine car should be downsized. It means that the
layouts of the two types of cars should be changed,
and the reconfiguration strategies are required.
In this paper, we will briefly investigate the effect
of reconfiguration strategies by simulation study,
when the product-mix is changed in an automotive
body shop. This paper is organized as follow. In
section 2, the system configuration is described, and
the simulation results are explained in section 3.
Finally conclusion and discussions are addressed in
section 4.
2 SYSYEM CONFIGURATIONS
2.1 Basic Configurations
To evaluate the reconfiguration strategies for under
body lines in automotive body shop, we define the
abstract model of automotive body shop as shown in
Figure 1, and the following assumptions are applied
to the system.
Both engine car and electric car are produced for
the same car model. The total target production
volume is fixed, but individual production volume
is changed following to the product-mix.
All sub-lines except for underbody lines can be
shared. However, there are two types of under
body lines, one for engine car and the other for
electric car. The layout of underbody lines for
engine car is similar with the traditional layout.
However, the structure of underbody lines for
electric car is designed with the concept of cell
system because the production volume is not high.
When the production volume of electric car
increases we can install additional cell lines in
parallel.
The welding method of side body is the modular
build method.
The transfer policies in all sub-lines are
asynchronous transfer.
There are buffers between two successive sub-
lines (total number of buffer location is 14), but
no buffers are allowed in a sub-line.
The process times (PT) of all stations in upper
body (side body and main body) sub-lines and
opening parts sub-lines are known and constant as
one time unit (minute) because a body shop is a
highly automated manufacturing system.
The process times of underbody lines(or cells) can
be varied by the change of the product-mix of two
types of cars. The total workload is fixed, and thus
process time of a workstation is determined by the
number of work stations. We assume that perfect
line balancing is possible.
There is only one mode of time-dependent failure
for all workstations, and the distributions of time
to failure (uptime) and repair time (downtime) are
known and same. Exponential distributions are
assumed, and MTTF and MTTR are set to 240 and
10 time units, respectively. Thus, the isolated
efficiency of a workstation is 0.96.
There is no starvation in the first stations and there
is no blocking in the final station. The first stations
mean the stations which do not have predecessors,
and the final station is the station that does not
have successors.
Table 1 shows the basic layout data of the two
underbody lines. The total workload of the underbody
line of engine car (TW
1
) is 24 and that of electric car
(TW
2
) is 21. This assumption is reasonable because
the underbody structure of electric car is simpler than
that of engine car. The total number of stations of
engine car (NS
1
) is 24 and that of electric car (NS
2
) is