© 2005

Location Theory

A Unified Approach


Table of contents

  1. Front Matter
    Pages I-XXI
  2. Location Theory and the Ordered Median Function

  3. The Continuous Ordered Median Location Problem

  4. Ordered Median Location Problems on Networks

  5. The Discrete Ordered Median Location Problem

  6. Back Matter
    Pages 423-437

About this book


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.


Computational Geometry Location Analysis Logistics Mathematical Programming Operations Research algorithms linear optimization

Authors and affiliations

  1. 1.Lehrstuhl für Operations Research und Logistik, Rechts- und Wirtschaftswissenschaftliche FakultätUniversität des SaarlandesSaarbrückenGermany
  2. 2.Dpto. Estadística e Investigación Operativa, Faculdad de MatemáticasUniversidad de SevillaSevilleSpain

Bibliographic information