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Decomposing Integer Programming Models for Spatial Allocation

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Geographic Information Science (GIScience 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2478))

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Abstract

Spatial allocation generally involves the aggregation of spatial units into larger groups according to specified criteria. This paper describes a generalized method of formulating integer programming models for spatial allocation (IPSA). To do so, IPSA are decomposed into elementary forms which can then be recomposed for particular applications in a clear and consistent manner. The major implication of this paper is that the prescriptive capabilities of geographic information systems (GISs) can continue to benefit from future advances in mathematical programming techniques.

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Author information

Authors and Affiliations

  1. Department of City and Regional Planning, University of Pennsylvania, Philadelphia, PA, 19104-6311

    Takeshi Shirabe

  2. Department of Landscape Architecture and Regional Planning, University of Pennsylvania, Philadelphia, PA, 19104-6311

    C. Dana Tomlin

Authors
  1. Takeshi Shirabe
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  2. C. Dana Tomlin
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Editor information

Editors and Affiliations

  1. Department of Spatial Information Science and Engineering, National Center for Geographic Information and Analysis, Orono, ME, 04469-5711, USA

    Max J. Egenhofer

  2. Department of Computer Science, University of Maine, Orono, ME, 04469-5711, USA

    Max J. Egenhofer

  3. National Center for Geographic Information and Analysis Department of Geography, University at Buffalo, 105 Wilkeson Quad., Box 610023, Buffalo, NY, 14261-0023, USA

    David M. Mark

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© 2002 Springer-Verlag Berlin Heidelberg

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Shirabe, T., Tomlin, C.D. (2002). Decomposing Integer Programming Models for Spatial Allocation. In: Egenhofer, M.J., Mark, D.M. (eds) Geographic Information Science. GIScience 2002. Lecture Notes in Computer Science, vol 2478. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45799-2_21

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  • DOI: https://doi.org/10.1007/3-540-45799-2_21

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44253-0

  • Online ISBN: 978-3-540-45799-2

  • eBook Packages: Springer Book Archive

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