European Journal of Operational Research 33 (1988) 245-256 245
North-Holland
Case Study
Allocating work between an FMS
and a conventional jobshop: A case study
Ludwig H. AVONTS, Ludo F. GELDERS and Luk N. Van WASSENHOVE
K.U. Leuuen, Afdeling Industrieel Beleid, Celestijnenlaan 30014, 3030 Leuven-Heoerlee, Belgium
Abstract: This paper discusses a real-life production planning problem in a Flexible Manufacturing System
(FMS) environment. The problem is to decide which products and in what quantities to produce on the
FMS. The remainder of the production requirements can be produced in a conventional jobshop. It is
shown how a rather simple linear programming model on microcomputer can be a valuable decision tool.
It allows for easy evaluation of various objective functions and decision alternatives. Insights gathered
using the LP model have led to the introduction of new part routings which have increased FMS
throughput considerably. It is also shown how the LP model is used as a screening device to select
strategies to be tested in a detailed simulation of the system.
Keywords: Resource allocation, linear programming, job shop, FMS
1. Introduction
This paper describes how a specific production
planning problem related to an FMS was solved in
practice. The problem occurred in a manufactur-
ing company, which at the time of the study was
installing an FMS.
Figure 1 gives a schematic view of the system
which consists of 6 NC-machines. Machines 3 and
4 are identical as well as machines 5 and 6. This
means e.g. that each operation on machine 3 can
also be done on machine 4 and processing times
will be identical. Selection between two identical
machines is done during the operation of the
system. If one of the two machines is busy, the
other one is selected. Each machine has an
input/output shuttle with limited capacity. Ample
buffer space must prevent the system from block-
ing. Three carriers take care of transporting the
workpieces through the system.
Received May 1987
Ten different product types (numbered 1-10)
can be produced on the FMS as well as on the
conventional jobshop system (henceforth denoted
by CS). One new part (product type 11) is espe-
cially designed for the FMS and cannot be
processed on the CS. In the Appendix, the part
related data are given. The production planning
on the parts is done by an MRP system. For the
CS demand is aggregated into bi-weekly produc-
tion lots, whereas on the FMS batches are planned
on weekly basis.
The problem is to decide which products to
produce on the new FMS and which products to
produce on the conventional system. This problem
has not been treated extensively in literature. Some
research has dealt with the long term (strategic)
problem of choosing between classical manufac-
turing methods (e.g. transfer lines) and new tech-
nologies. For example, Hutchinson and Holland
[5] attempt to provide a measure for the value of
flexibility by comparing the costs of a typical
fixed automation approach with those of a trans-
0377-2217/88/$3.50 © 1988, Elsevier Science Publishers B.V. (North-Holland)