The Hamiltonian \(p\)-median problem (Q1578475)
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scientific article; zbMATH DE number 1498623
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Hamiltonian \(p\)-median problem |
scientific article; zbMATH DE number 1498623 |
Statements
The Hamiltonian \(p\)-median problem (English)
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14 September 2000
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Summary: 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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