  We investigate a location-allocation-routing problem where trucks deliver
goods from a central production facility to a set of warehouses with fixed
locations and known demands. Due to limited capacities congestion occurs and
results in queueing problems. The location of the center is determined to
maximize the utilization of the given resources (measured in throughput), and
the minimal number of trucks is determined to satisfy the overall demand
generated by the warehouses. Main results for this integrated decision problem
on strategic and tactical/operational level are: (i) The location decision is
reduced to a standard Weber problem with weighted distances. (ii) The joint
decision for location and fleet size is separable.(iii) The location of the
center is robust against perturbations of several system parameters on the
operational/tactical level. Additionally, we consider minimization of travel
times as optimization target.
