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Convex Land Acquisition with Zero-One Programming

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  • Justin C Williams

    (Department of Geography and Environmental Engineering, Johns Hopkins University, Baltimore, MD 21218, USA)

Abstract

The land-acquisition problem involves selecting multiple discrete parcels to be acquired for a particular land use. In previous models, typical selection criteria have been land cost, land area, and spatial attributes such as contiguity and compactness. Here I introduce a new spatial attribute, convexity. I develop a way to approximate convex shapes in continuous space with ‘cellularly convex’ shapes composed of grid cells. A zero-one programming model is formulated for finding minimum-cost cellularly convex regions of specified area. Computational experience with 144-cell and 1024-cell demonstration problems is reported, and results and extensions are discussed.

Suggested Citation

  • Justin C Williams, 2003. "Convex Land Acquisition with Zero-One Programming," Environment and Planning B, , vol. 30(2), pages 255-270, April.
    • Handle: RePEc:sae:envirb:v:30:y:2003:i:2:p:255-270
    DOI: 10.1068/b12925
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    References listed on IDEAS

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    1. Wright, Jeffrey & Revelle, Charles & Cohon, Jared, 1983. "A multiobjective integer programming model for the land acquisition problem," Regional Science and Urban Economics, Elsevier, vol. 13(1), pages 31-53, February.
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    Cited by:

    1. H. Murat Çelik & Ersin Türk, 2010. "Determination of Optimum Environmental Conservation: Using Multi-Criteria Decision-Making Techniques," European Planning Studies, Taylor & Francis Journals, vol. 19(3), pages 479-499, March.
    2. Ersin Türk & Hüseyin Murat Çelik, 2013. "Impacts of Planners' Different Viewpoints on Optimum Land-Use Allocation," European Planning Studies, Taylor & Francis Journals, vol. 21(12), pages 1937-1957, December.

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