This paper examines how graph theory (GTH) can be used to create facility d
esigns. It proposes a new approach which focuses upon the concept of a maxi
mally weighted planar graph (MWPG) through the use of non-maximally planar
weighted graph (MPWG) theory and a weighted flow-distance measure. The effe
ctiveness of the proposed approach is then evaluated using other methodolog
ies.