2021 Volume 64 Issue 3 Pages 175-183
This paper develops a bi-objective model for determining the location and shape of two finite-size facilities. The objectives are to minimize both the closest and barrier distances. The former represents the accessibility of customers, whereas the latter represents the interference to travelers. The total closest and barrier distances are derived for two rectangular facilities in a rectangular city where the distance is measured as the rectilinear distance. The analytical expressions for the total closest and barrier distances demonstrate how the location and shape of the facilities affect the distances. A numerical example shows that there exists a tradeoff between the closest and barrier distances. The tradeoff curve provides planners with alternatives for the location and shape of the facilities. The Pareto optimal location and shape of the facilities are then obtained.
