The Hamiltonian p–median problem ∗

We deal, from a theoretical point of view, with the asymmetric Hamiltonian p–median problem. This problem, which has many applications, can be viewed as a mixed routing location problem. An ILP-formulation based on a new class of inequalities (subtour number constraints) is presented. The associated Hamiltonian p–median polytope is examined, in particular its dimension and its affine hull. We determine which of the defining inequalities induce facets.