The generation of a good layout is an important stage in the design of a ne
w plant or the retrofit of an existing facility. Layout decisions affect pi
ping, electrics, instrumentation and therefore have a great impact on the t
otal plant cost. Moreover, layout has a large impact on the safety, operabi
lity and maintainability of any chemical plant. This paper presents a gener
al mathematical programming approach for addressing the problem of allocati
ng items of equipment in a given two or three dimensional space. The proble
m is formulated as a mixed integer linear programming model where equipment
of various sizes and geometries are taken into account. The objective func
tion to be minimized accounts for the total transport, connection, land and
floor construction cost. This optimization procedure results in the coordi
nates of each unit (location), the total piping length, and the land occupi
ed. Three case studies are presented to illustrate the applicability of the
proposed approach. (C) 1999 Elsevier Science Ltd. All rights reserved.