Annals of Operations Research

, Volume 40, Issue 1, pp 355–369 | Cite as

On destination optimality in asymmetric distance Fermat-Weber problems

  • Frank Plastria


This paper introduces skewed norms, i.e. norms perturbed by a linear function, which are useful for modelling asymmetric distance measures. The Fermat-Weber problem with mixed skewed norms is then considered. Using subdifferential calculus we derive exact conditions for a destination point to be optimal, thereby correcting and completing some recent work on asymmetric distance location problems. Finally the classical dominance theorem is generalized to Fermat-Weber problems with a fixed skewed norm.


Optimality conditions continous location problems asymmetric distance convex analysis 


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Copyright information

© J.C. Baltzer AG, Scientific Publishing Company 1992

Authors and Affiliations

  • Frank Plastria
    • 1
  1. 1.Research Center in Industrial LocationVrije Universiteit BrusselBrusselsBelgium

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