ISSN:
1432-0541
Keywords:
Key words. Facility location, Optimal region, Rectilinear shortest path, L1 distance.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract. Given k terminals and n axis-parallel rectangular obstacles on the plane, our algorithm finds a plane region R * such that, for any point p in R * , the total length of the k shortest rectilinear paths connecting p and the k terminals without passing through any obstacle is minimum. The algorithm is output-sensitive, and takes O((K+n) log n) time and O(K+n) space if k is a fixed constant, where K is the total number of polygonal vertices of the found region R * .
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s00453-002-0997-y
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