Title
The backup 2-center and backup 2-median problems on trees
Abstract
In this paper, we are concerned with the problem of deploying two servers in a tree network, where each server may fail with a given probability. Once a server fails, the other server will take full responsibility for the services. Here, we assume that the servers do not fail simultaneously. In the backup 2-center problem, we want to deploy two servers at the vertices such that the expected distance from a farthest vertex to the closest functioning server is minimum. In the backup 2-median problem, we want to deploy two servers at the vertices such that the expected sum of distances from all vertices to the set of functioning servers is minimum. We propose an O(n)-time algorithm for the backup 2-center problem and an O(n log n)-time algorithm for the backup 2-median problem, where n is the number of vertices in the given tree network. © 2008 Wiley Periodicals, Inc. NETWORKS, 2009
Year
DOI
Venue
2009
10.1002/net.v53:1
Networks
Keywords
Field
DocType
median,tree,center
Combinatorics,Mathematical optimization,Tree (graph theory),Vertex (geometry),Computer science,Server,Computer network,Theoretical computer science,Time complexity,Backup,Tree network
Journal
Volume
Issue
ISSN
53
1
0028-3045
Citations 
PageRank 
References 
6
0.47
17
Authors
3
Name
Order
Citations
PageRank
Hung-Lung Wang1275.63
Bang Ye Wu233633.89
Kun-mao Chao383894.05