## Simultaneous Source Location

journal contribution

posted on 01.01.2004 by Konstantin Andreev, Charles Garrod, Bruce M Maggs, Adam Meyerson#### journal contribution

Any type of content formally published in an academic journal, usually following a peer-review process.

We consider the problem of Simultaneous Source Location – selecting locations for sources in a capacitated graph such that a given set of demands can be satisfied. We give an exact algorithm for trees and show how this can be combined with a result of Räcke to give a solution that exceeds edge capacities by at most O(log

^{2}n log logn), where n is the number of nodes. On graphs of bounded treewidth, we show the problem is still NP-Hard, but we are able to give a PTAS with at most O(1+ε) violation of the capacities, or a (k+1)-approximation with exact capacities, where k is the treewidth and ε can be made arbitrarily small.