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- W2565243531 abstract "Many problems in continuous location theory, reduce to finding a best location, in the sense that a facility must be located at a point minimizing the sum of distances to the points of a given finite set (median) or the largest distances to all points (center). The setting is often assumed to be a Banach space. To have a better understanding concerning the structure of location problems, it is nice to see how, if the space is infinite-dimensi onal, the lack of optimal solutions may occur also in rather simple cases. In this paper we two simple examples of four-point sets such that one of the two problems indicated has a solution, while the other one has no solution. Also, we list papers containing examples previously given, dealing with this lack of optimal solutions." @default.
- W2565243531 created "2017-01-06" @default.
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- W2565243531 date "2005-01-01" @default.
- W2565243531 modified "2023-09-23" @default.
- W2565243531 title "Two New Examples of Sets without Centers" @default.
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