Location with preferences |
Sergio García Quiles
Departamento de Estadística
Universidad Carlos III
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- Abstract
Many location problems assume that, once facilities have been located,
customers will be allocated to the closest open facility. However, this is
not guaranteed by the model and, as a consequence, must be explicitly
imposed by adding some closest assignment constraints. Moreover, the
concept of "closest" is easily extended to the one of "most preferred". In
this paper, several classical closest assignment constraints appeared in the
literature are analyzed. Then, a model which considers location with most
preferred allocation is stated: the Simple Plant Location problem with
Order. Finally, some valid inequalities which strengthen this formulation
are shown.
Keywords: Location, Simple Plant Location Problem, preferences.
AMS Subject classifications: 90C11, 90B80.
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