Distance measure and the p-median problem in rural areas
The 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.
|Date of creation:||04 Dec 2012|
|Date of revision:|
|Contact details of provider:|| Postal: HUI Research, Regeringsgatan 60, 103 29 Stockholm, Sweden|
Phone: +46 (0)8 762 72 80
Fax: +46 (0)8 679 76 06
Web page: http://www.hui.se/
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
- R. Francis & T. Lowe & M. Rayco & A. Tamir, 2009. "Aggregation error for location models: survey and analysis," Annals of Operations Research, Springer, vol. 167(1), pages 171-208, March.
- L Bach, 1981. "The Problem of Aggregation and Distance for Analyses of Accessibility and Access Opportunity in Location-Allocation Models," Environment and Planning A, SAGE Publishing, vol. 13(8), pages 955-978, August.
When requesting a correction, please mention this item's handle: RePEc:hhs:huiwps:0078. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Helena Nilsson)
If references are entirely missing, you can add them using this form.