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An Approach to Solving Spatial-Allocation Models with Constraints

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  • I N Williams

    (The Martin Centre for Architectural and Urban Studies, University of Cambridge, 6 Chaucer Road, Cambridge, England)

Abstract

This paper introduces a loose-knit family of spatial-allocation models, which locate entities in two-dimensional space, based on a general framework which merges an input—output type model with a spatial-interaction type model. Explicit attention is paid to the solution and interpretation of constraints on the subtotals generated within these models. In this way a link is forged between the fields of land-use modelling and urban economics. One efficient method of solving a particular form of spatial-allocation model is described in detail and some characteristics of this and alternative approaches are discussed. Four practical applications of the spatial-allocation model framework are outlined to demonstrate its wide range of usefulness in representing spatial-location processes.

Suggested Citation

  • I N Williams, 1979. "An Approach to Solving Spatial-Allocation Models with Constraints," Environment and Planning A, , vol. 11(1), pages 3-22, January.
    • Handle: RePEc:sae:envira:v:11:y:1979:i:1:p:3-22
    DOI: 10.1068/a110003
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