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On the uniqueness of optimal solutions in continuous location theory |
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| Authors: | Blas Pelegrin Christian Michelot Frank Plastria |
| Institution: | Departamento de Estadistica e Investigacion Operativa, Universidad de Sevilla, Tarfia, 41012, Sevilla, Spain;Laboratoire d''Informatique et d''Analyse Numérique, Université de Dijon, 214, rue de Mirande, 21000 Dijon, France;Centrum voor Statistiek en Operationeel Onderzoek, Vrije Universiteit Brussel, Pleinlaan, 2, B-1050 Brussels, Belgium |
| Abstract: | This paper deals with the uniqueness of an optimal solution in general continuous single facility minisum and minimax location problems. We define the concept of an S-norm and obtain general conditions which guarantee the existence of a unique optimal location. Some consequences for the uniqueness of optimal locations in multi-facility location problems are discussed. |
| Keywords: | Location optimization convex programming |
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