Distance measure and the p-median problem in rural areas
AbstractThe p-median model is used to locate P facilities to serve a geographically distributed population. Conventionally, it is assumed that the population patronize the nearest facility and that the distance between the resident and the facility may be measured by the Euclidean distance. Carling, Han, and Håkansson (2012) compared two network distances with the Euclidean in a rural region with a sparse, heterogeneous network and a non-symmetric distribution of the population. For a coarse network and P small, they found, in contrast to the literature, the Euclidean distance to be problematic. In this paper we extend their work by use of a refined network and study systematically the case when P is of varying size (2-100 facilities). We find that the network distance give as good a solution as the travel-time network. The Euclidean distance gives solutions some 2-7 per cent worse than the network distances, and the solutions deteriorate with increasing P. Our conclusions extend to intra-urban location problems.
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Bibliographic InfoPaper provided by HUI Research in its series HUI Working Papers with number 78.
Length: 12 pages
Date of creation: 04 Dec 2012
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dense network; location model; optimal location; simulated annealing; travel time; urban areas;
Find related papers by JEL classification:
- C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- R42 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Systems - - - Government and Private Investment Analysis; Road Maintenance; Transportation Planning
- R50 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Regional Government Analysis - - - General
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- L Bach, 1981. "The problem of aggregation and distance for analyses of accessibility and access opportunity in location - allocation models," Environment and Planning A, Pion Ltd, London, vol. 13(8), pages 955-978, August.
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