The Hamiltonian p–Median Problem

Abstract

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.