An Extension of the Fermat-Torricelli Problem

T. V. Tan ()
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T. V. Tan: Hanoi National University of Education

Journal of Optimization Theory and Applications, 2010, vol. 146, issue 3, No 10, 735-744

Abstract: Abstract The Fermat-Torricelli problem is an optimization problem associated with a finite subset $\{a_{j}\}_{j=1}^{q}$ of ℝ N and a family $\{c_{j}\}_{j=1}^{q}$ of positive weights. The function F to be minimized is defined by $F(x)=\sum _{j=1}^{q}c_{j}\Vert x-a_{j}\Vert$ . In this paper, we extend this problem to the case of volumes.

Keywords: Fermat-Torricelli problem; Weber problem; Finite-dimensional space (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s10957-010-9686-1

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