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, Volume 13, Issue 1, pp 1–56 | Cite as

Towards a unified territorial design approach — Applications, algorithms and GIS integration

  • Jörg Kalcsics
  • Stefan Nickel
  • Michael Schröder
Article

Abstract

Territory design may be viewed as the problem of grouping small geographic areas into larger geographic clusters called territories in such a way that the latter are acceptable according to relevant planning criteria. In this paper we review the existing literature for applications of territory design problems and solution approaches for solving these types of problems. After identifying features common to all applications we introduce a basic territory design model and present in detail two approaches for solving this model: a classical location-allocation approach combined with optimal split resolution techniques and a newly developed computational geometry based method. We present computational results indicating the efficiency and suitability of the latter method for solving large-scale practical problems in an interactive environment. Furthermore, we discuss extensions to the basic model and its integration into Geographic Information Systems.

Key Words

Territory design political districting sales territory alignment optimization algorithms Geographical Information Systems computational geometry 

AMS subject classification

90C59 90B80 68U05 90-02 

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Copyright information

© Sociedad de Estadística e Investigación Operativa 2005

Authors and Affiliations

  • Jörg Kalcsics
    • 1
  • Stefan Nickel
    • 2
  • Michael Schröder
    • 3
  1. 1.Universität des SaarlandesGermany
  2. 2.Universität des Saarlandes and Fraunhofer Institut für Techno- und WirtschaftsmathematikGermany
  3. 3.Fraunhofer Institut für Techno- und WirtschaftsmathematikGermany

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