Minsum k-flats of finite point sets in

Minsum k-flats of finite point sets in

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Article ID: iaor199671
Country: Greece
Volume: 7
Issue: 1
Start Page Number: 123
End Page Number: 129
Publication Date: Nov 1994
Journal: Studies In Locational Analysis
Authors:
Keywords: programming: integer
Abstract:

For a set equ2 of n points with corresponding positive weights equ3 and equ4 as set of all k- dimensional planes in Euclidean vector space equ5, with equ6 and equ7, it is shown that the location problem minimize equ8, is at least as difficult as the known FERMAT-TORRICELLI-PROBLEM in equ9. Further, known results on this FERMAT-TORRICELLI-PROBLEM and on the case equ10 are summarized.

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