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.
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