SOME THOUGHTS ON GENERALIZED WEBER LOCATION MODELS

The Weber and inverse Weber location problem is defined for a continuo us one-dimensional convex region in the plane and solved using constru ctive numerical techniques. It is conjectured that the Weber functiona l for a continuous one-dimensional convex region is concave. The equiv alence between the one-dimensional inverse Weber model and a polar geo metric optimization problem is demonstrated, and an alternative symbol ic expression for the integral functional is described.