Long-term planning versus short-term planning in the asymptotical location problem
Long-term planning versus short-term planning in the asymptotical location problem
Given the probability measure $\nu$ over the given region $\Omega\subset \R^n$, we consider the optimal location of a set $\Sigma$ composed by $n$ points $\Om$ in order to minimize the average distance $\Sigma\mapsto \int_\Om \dist(x,\Sigma) d\nu$ (the classical optimal facility location problem). The paper compares two strategies to find optimal …