Annals of Operations Research

, Volume 167, Issue 1, pp 7–41 | Cite as

On the point for which the sum of the distances to n given points is minimum



Translation with annotations of E. Weiszfeld, Sur le point pour lequel la somme des distances de n points donnés est minimum, Tôhoku Mathematical Journal (first series), 43 (1937) pp. 355–386.

A short introduction about the translation is found in Appendix A. Appendix B lists particular notations used by Weiszfeld and their now more conventional equivalents. Numbered footnotes are those of the original paper of Weiszfeld. Boxed numerals are references to observations about the translation and comments of the translator, all to be found in Appendix C.


Location problem Weber problem Euclidean distance Weiszfeld algorithm 


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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Department of Mathematics, Operational Research, Statistics and Information Systems for Management MOSIVrije Universiteit BrusselBrusselsBelgium

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