Title
An efficient method for single-facility location and path-connecting problems in a cell map
Abstract
This article presents an efficient method for simultaneously finding both the Weber cell and optimal connective paths in a grid. As numerous barriers of arbitrary shape and weighted regions are distributed in the cell map of this research, the problem scenario is similar to working out a real-life facility location selection and path-routing problems in a geographical map. In this study, the Weber problem of finding a single-facility location from an accumulation cost table is generated by a grid wave propagation method higher-geometry maze router. After finding the Weber point cell, optimal connective paths with minimum total weighted cost are backtracked between the Weber location cell and the demand cells. This new computation algorithm with linear time and space complexity can be integrated as a spatial analytical function within GIS.
Year
DOI
Venue
2013
10.1080/13658816.2013.820830
International Journal of Geographical Information Science
Keywords
Field
DocType
weber cell,weber point cell,accumulation cost table,weber problem,cell map,efficient method,demand cell,path-connecting problem,single-facility location,real-life facility location selection,optimal connective path,weber location cell,facility location problem
Mathematical optimization,Wave propagation,Computer science,Analytic function,Facility location problem,Router,Time complexity,Weber problem,Grid,Computation
Journal
Volume
Issue
ISSN
27
10
1365-8816
Citations 
PageRank 
References 
1
0.48
14
Authors
4
Name
Order
Citations
PageRank
K. Y. Chang110.48
C. M. Su210.48
G. E. Jan3222.57
C. P. Chen410.48