Plant layout is concerned with the spatial arrangement of processing e
quipment, storage vessels and their interconnecting pipework. This is
an important aspect in the design of chemical and process plants since
a good layout will ensure that the plant functions correctly and will
provide an economically acceptable balance between the many, often co
nflicting, design constraints. These constraints are derived from safe
ty, environmental, construction, maintenance and operational considera
tions. Process relationships, for example the use of gravity flow, and
issues such as the provision of space for future expansion must also
be taken into account. Traditional methods for locating equipment with
in chemical plants are based on mixtures of process heuristic rules an
d exact-to-the-inch distance information. Such techniques are unsystem
atic and they do not make use of all the relevant and appropriate data
. In this paper an optimization based approach is used to determine a
good preliminary plant layout, subject to all of the above constraints
. A novel mathematical formulation is presented which addresses the pr
oblem of locating items of equipment within a given two or three dimen
sional space. The objective function to be minimised is the sum of the
relevant operation, connection and floor construction costs. Detailed
cost factors ate used to account for the flow direction between two c
onnected units. The problem is formulated as a mixed integer linear pr
ogramming problem. Specific attention is paid to constructing a formul
ation which is suitable for the solution of large scale problems. The
method presents the rigorous solution of problems with around 30 proce
ss equipment and of essentially unlimited size problems when combined
with single heuristic rules. The approach is demonstrated with several
practical scale problems, including an industrial multi-purpose plant
.