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{\bf Holger Glaab and Alexander Pott}
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{\bf The Hamiltonian p--Median Problem}
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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.

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