IDEAS home Printed from https://ideas.repec.org/a/sae/envirb/v30y2003i2p255-270.html
   My bibliography  Save this article

Convex Land Acquisition with Zero-One Programming

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1068/b12925
    Download Restriction: no
    File URL: https://libkey.io/10.1068/b12925?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chenhao Zhu & Jonah Susskind & Mario Giampieri & Hazel Backus O’Neil & Alan M. Berger, 2023. "Optimizing Sustainable Suburban Expansion with Autonomous Mobility through a Parametric Design Framework," Land, MDPI, vol. 12(9), pages 1-31, September.
    2. Michael Johnson & David Turcotte & Felicia Sullivan, 2010. "What Foreclosed Homes Should a Municipality Purchase to Stabilize Vulnerable Neighborhoods?," Networks and Spatial Economics, Springer, vol. 10(3), pages 363-388, September.
    3. Afsana Haque & Yasushi Asami, 2011. "Optimizing Urban Land-Use Allocation: Case Study of Dhanmondi Residential Area, Dhaka, Bangladesh," Environment and Planning B, , vol. 38(3), pages 388-410, June.
    4. J T Diamond & J R Wright, 1988. "Design of an Integrated Spatial Information System for Multiobjective Land-Use Planning," Environment and Planning B, , vol. 15(2), pages 205-214, June.
    5. Önal, Hayri & Wang, Yicheng & Dissanayake, Sahan T.M. & Westervelt, James D., 2016. "Optimal design of compact and functionally contiguous conservation management areas," European Journal of Operational Research, Elsevier, vol. 251(3), pages 957-968.
    6. J C Williams & C S ReVelle, 1996. "A 0–1 Programming Approach to Delineating Protected Reserves," Environment and Planning B, , vol. 23(5), pages 607-624, October.
    7. Yaolin Liu & Jinjin Peng & Limin Jiao & Yanfang Liu, 2016. "PSOLA: A Heuristic Land-Use Allocation Model Using Patch-Level Operations and Knowledge-Informed Rules," PLOS ONE, Public Library of Science, vol. 11(6), pages 1-21, June.
    8. George, John A. & Lamar, Bruce W. & Wallace, Chris A., 1997. "Political district determination using large-scale network optimization," Socio-Economic Planning Sciences, Elsevier, vol. 31(1), pages 11-28, March.
    9. Gabriel, Steven A. & Faria, Jose A. & Moglen, Glenn E., 2006. "A multiobjective optimization approach to smart growth in land development," Socio-Economic Planning Sciences, Elsevier, vol. 40(3), pages 212-248, September.
    10. Reza Taromi & Michael DuRoss & Bintong Chen & Ardeshir Faghri & Mingxin Li & Tracy DeLiberty, 2015. "A multiobjective land development optimization model: the case of New Castle County, Delaware," Transportation Planning and Technology, Taylor & Francis Journals, vol. 38(3), pages 277-304, April.
    11. Brian Lunday & Hanif Sherali & Kevin Lunday, 2012. "The coastal seaspace patrol sector design and allocation problem," Computational Management Science, Springer, vol. 9(4), pages 483-514, November.
    12. Hayri Önal & Robert A. Briers, 2006. "Optimal Selection of a Connected Reserve Network," Operations Research, INFORMS, vol. 54(2), pages 379-388, April.
    13. Weerasena, Lakmali & Shier, Douglas & Tonkyn, David & McFeaters, Mark & Collins, Christopher, 2023. "A sequential approach to reserve design with compactness and contiguity considerations," Ecological Modelling, Elsevier, vol. 478(C).
    14. Timothy J. Niblett & Richard L. Church, 2016. "The Shortest Covering Path Problem," International Regional Science Review, , vol. 39(1), pages 131-151, January.
    15. Dean M Hanink & Robert G Cromley, 2005. "Comparative Advantage in Land-Use Allocation under Regionalism," Environment and Planning B, , vol. 32(2), pages 281-292, April.
    16. Liu, Xiaoping & Ou, Jinpei & Li, Xia & Ai, Bin, 2013. "Combining system dynamics and hybrid particle swarm optimization for land use allocation," Ecological Modelling, Elsevier, vol. 257(C), pages 11-24.
    17. Chang, Ni-Bin & Wen, C.G. & Chen, Y.L., 1997. "A fuzzy multi-objective programming approach for optimal management of the reservoir watershed," European Journal of Operational Research, Elsevier, vol. 99(2), pages 289-302, June.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sae:envirb:v:30:y:2003:i:2:p:255-270. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: SAGE Publications (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.