Although modern location theory is now more than 90 years old, the focus
of researchers in this area has been mainly problem oriented. However, a
common theory, which keeps the essential characteristics of classical
location models, is still missing.
This monograph addresses this issue. A flexible location problem called
the Ordered Median Problem (OMP) is introduced. For all three main
subareas of location theory (continuous, network and discrete location)
structural properties of the OMP are presented and solution approaches
provided. Numerous illustrations and examples help the reader to become
familiar with this new location model.
By using OMP classical results of location theory can be reproved in a
more general and sometimes even simpler way. Algorithms enable the
reader to solve very flexible location models with a single
implementation. In addition, the code of some algorithms is available
for download.