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Location Theory

A Unified Approach

  • Book
  • © 2005

Overview

  • New analysis of most models in location analysis based on the geometry of ordered regions
  • Insight into the underlying structure of many location models
  • The reader is provided with a powerful tool to model and solve the most common location problems
  • Includes supplementary material: sn.pub/extras

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Table of contents (16 chapters)

  1. Location Theory and the Ordered Median Function

  2. The Continuous Ordered Median Location Problem

  3. The Discrete Ordered Median Location Problem

Keywords

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.

Authors and Affiliations

  • Lehrstuhl für Operations Research und Logistik, Rechts- und Wirtschaftswissenschaftliche Fakultät, Universität des Saarlandes, Saarbrücken, Germany

    Stefan Nickel

  • Dpto. Estadística e Investigación Operativa, Faculdad de Matemáticas, Universidad de Sevilla, Seville, Spain

    Justo Puerto Albandoz

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