This paper develops a systematic procedure for constructing an attainable r
egion (AR). The approach uses two dimensional ARs constructed in orthogonal
subspaces to construct higher dimensional ARs. Our technique relies on pre
vious algorithms that provide a practical assurance of the completeness of
ARs in two dimensions, using only PFR and CSTR reactors and mixing. Here we
build on a modification of this property by constructing 2D projections an
d their intersections that provide upper and lower bounds of the AR. These
bounds are then improved by applying AR constructions sequentially to candi
date regions in orthogonal subspaces. The approach is demonstrated on a wel
l-known AR problem in three dimensions. (C) 2000 Elsevier Science Ltd. All
rights reserved.