Skip Navigation


IMA Journal of Management Mathematics Advance Access originally published online on April 20, 2006
IMA Journal of Management Mathematics 2006 17(4):413-425; doi:10.1093/imaman/dpl009
This Article
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
17/4/413    most recent
dpl009v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Wei, H.
Right arrow Articles by Xiao, N.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The authors 2006. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Solving the continuous space p-centre problem: planning application issues

Hu Wei**,1, Alan T. Murray***,1 and Ningchuan Xiao****,2

1 Center for Urban and Regional Analysis and Department of Geography, The Ohio State University, 1036 Derby Hall, 154 North Oval Mall, Columbus, OH 43202, USA, 2 Department of Geography, The Ohio State University, 1036 Derby Hall, 154 North Oval Mall, Columbus, OH 43202, USA

** Email: wei.97{at}osu.edu

*** Email: murray.308{at}osu.edu

**** Email: xiao.37{at}osu.edu

The Voronoi diagram heuristic has been proposed for solving the p-centre problem in continuous space. However, important assumptions underlie this heuristic and may be problematic for practical applications. These simplifying assumptions include uniformly distributed demand, representing a region as a rectangle; analysis of a simple Voronoi polygon in solving associated one-centre problems and no restrictions on potential facility locations. In this paper, we explore the complexity of solving the continuous space p-centre problem in location planning. Considering the issue of solution space feasibility, we present a spatially restricted version of this problem and propose methods for solving it heuristically. Theoretical and empirical results are provided.

Keywords: location modeling; Voronoi diagram; heuristics

Received May 2005. accepted on 19 December 2005.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.