This paper considers the problem of locating a single facility in the presence of a line barrier that occurs randomly on a given horizontal route on the plane. The objective is to locate this new facility such that the sum of the expected rectilinear distances from the facility to the demand...

This paper presents a new experimental approach to the Weber problem in the presence of convex barriers by using the Varignon frame. The Varignon frame is a mechanical system of strings, weights and a board with holes that has been used to identify an optimal location for the classical Weber...

This paper extends the static single facility location problem to a model that permits location changes within a planning horizon of r periods. An algorithm is developed to optimize the sequence of locations in order to meet changes in costs, volumes and locations of destinations.