Business
Value of Agile Manufacturing *
A
factory produces finished products by performing a
sequence of manufacturing steps (tasks) on supplied
materials (inputs). In an automotive assembly plant,
for example, numerous assembly tasks done in proper
sequence convert a powertrain, electric components,
body panels, instrument panel, paint and many other
inputs into a finished vehicle. In modern plants,
if the manufacturing tasks and machines are designed
and controlled properly and the workers have suitable
training, the plant can adjust rapidly to manufacture
different products from the appropriate inputs.
Agile manufacturing refers to the ability of a factory
to switch quickly from producing one product to producing
another. Such flexibility can be beneficial and profitable,
because a suitably flexible plant can respond quickly
to changes in demand for its various products.
The analysis of agile manufacturing is of general
industrial interest and offers many opportunities
for industrial mathematics research. This project
requires modeling and analyzing stochastic systems
and optimization of such systems in a practical context
that has immediate industrial value. These issues
are very common in business decisions.
Automotive assembly plants are always flexible facilities
that can at least manufacture the two-door, four-door
and station wagon versions of a vehicle, install customer-selected
options, etc. However, a higher level of flexibility,
where an assembly plant produces different vehicle
products (for example, two different models or sizes
of an SUV), is the focus of this project.
Ford researchers have put significant effort into
estimating variability in customer demand for our
vehicles. We have developed demand distributions that
predict (with stated probability) vehicle demand under
various market conditions. From this stochastic demand
data and other parameters, we want to configure our
factories to meet the varying demands flexibly. We
currently determine the degree of flexibility appropriate
in designing a plant by using a simulation model to
evaluate various product volume demand and flexibility
scenarios. (The actual detailed design of flexible
plants and their supply and delivery systems involves
an enormous number of inter-related constraints and
a great deal of data and is outside the scope of this
project.)
The goal of this project is to estimate in advance,
under simplifying assumptions, the value that flexible
plants have for Ford. The desired analysis employs
likely vehicle demand distributions, plant capacities
and limitations, part commonality among vehicle products
and, perhaps, other factors. Given this basic data,
how should Ford run its product design and assembly
business? What are the benefits if some parameters
are changed - for example, increasing part commonality
between vehicles?
Manufacturing flexibility is represented as a weighted
?production graph? where products (shown as nodes)
are edge-connected to the plants (also nodes) that
can assemble those products. A product node includes
as data the demand for that vehicle. A plant node
has as data the plant capacity (maximum total production
of all vehicles). Each edge (connecting a product
node to a plant node) carries as data the maximum
amount of the product that can be built at the plant.
Example: Figure 1 shows a simple production graph:
Plants 1 & 2 have assembly capacities of 200,000 vehicles
(200k) each. Two products A & B, each with a median
demand of 200k units, are to be assembled in these
plants. Plant 1 can flex to produce any mix of products
A and B up to its capacity of 200k units; this follows
because the 200k edge weights indicate Plant 1 can
build up to its full capacity of either vehicle. Plant
2 is more limited: it can produce at most half its
full capacity of either vehicle. The two-plant system
can produce up to 300k units of a "hot" vehicle, either
A or B, if demand is that large (200k from plant 1
and 100k from plant 2).
|
Note that vehicle demand is given as the median
of a distribution of demand data that Ford can
furnish. Production graphs of business interest
will include about 10-20 products and about 10
plants. |
The project team would start with a production graph
and other parameters that include at least:
- the
expected distributions of demand for each vehicle
product,
- values
and correlations between product demand and expected
profit per vehicle sold,
- total
supply base (supplier) capacity for parts unique
to each vehicle, and
- supply
base capacity for common parts shared by specified
vehicles.
We anticipate that the project team will apply these
inputs to carry out some intermediate modeling of
the agile manufacturing value-added to Ford Motor
Company that is implicit in the inputs. We are open
to discussion about other data that the project team
feels would be relevant or valuable.
In addition to a research report, we seek, as a deliverable,
an interactive Excel application (possibly including
Visual Basic macro code) that combines the available
models to automate the evaluation of a production
graph. This application should also find optimal values
for some of the relevant parameters, such as supply
base capacity to produce given vehicles.
The Excel application should accept as inputs a production
graph and the other parameters listed above that define
the production system and consumer demand fluctuations
to which the production system must respond. It should
calculate the business value associated to the flexible
system as a distribution of profit results over time.
For example, the tool might simulate the operation
of the given production system (cast in terms of net
present value and other financial metrics) over a
period of approximately five years, gauging the system's
capability to respond to changing demand levels. During
each year of the five-year period, an algorithm could
attempt to optimize short-term profits by assignment
of vehicle production within the constraints imposed
by the system. The overall business value would be
based on the profit distribution results from the
full five-year period. Statistically relevant results
could be produced either through Monte Carlo simulation
of a large number of five-year periods, or possibly
by analytic methods.
The Excel tool would be of greater value if it could
find optimal or near-optimal values for a variety
of components of the system. For example, given costs
per level of supplier capacity, what is the optimal
level of supply-base capacity to support each vehicle
product? Another example: given effective costs of
different amounts of component commonality between
vehicles, what is the optimal level of commonality
within a given portfolio of vehicles?
An even more advanced optimization capability would
determine the best production graph given a variety
of constraints. However, this latter capability could
be very difficult to implement, and only indicates
how advanced the tool could grow to be.
We hope that the project team will discover in the
course of its work, rules of thumb revealing successful
strategies for various flexibility conditions. These
insights into the characteristics of higher-value
flex-production systems might be properties of the
associated production graphs, vehicle commonality
levels, supply base characteristics, etc. and would
be especially welcome. An example of such an insight
is the conclusion of Jordan and Graves**, for a 10-product
10-plant system, that a production graph such that
each product was produced by two plants, and each
plant had two products, was almost as effective in
producing a responsive production system as a fully
flexible system in which any plant can build any product.
Researchers at Ford are already working in a number
of the areas outlined above, and would be able to
provide some guidance on practical approaches toward
creating the Excel tool, and on insights already achieved
in production systems aspects that are attractive.
* This summary prepared by R. E. Svetic, MSU; and
M. Everson and P. M. Tuchinsky, Ford Research Laboratory,
Ford Motor Company. The project team will be managed
by Michigan State University Mathematics Professor
Bruce Sagan.
** "Principles on the benefits of manufacturing process
flexibility," William C. Jordan and Steven C. Graves,
Management Science, 41 (4) April 1995, 577.
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