Part of the Springer Optimization and Its Applications book series (SOIA, volume 51)


In previous chapters hypersphere location problems have been studied where the objective consists of minimizing the weighted distances between a finite number of fixed points and a hypersphere. In Chapter 4 a generalization of the basic model has been considered where two unequal norms are used in the problem definition, and in Chapter 5 the special case of weighted Tschebyschow norms in the Manhattan plane has been discussed. A lot of extensions of these problems are possible. In the concluding remarks of previous chapters some possible extensions and lines of further research were already mentioned. In the following two extensions are discussed in more detail.


Convex Hull Location Problem Present Problem Closed Ball Positive Weight 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Institut für Numerische und Angewandte MathematikGeorg-August-Universität GöttingenGöttingenGermany

Personalised recommendations