Sciweavers

FOCS
2000
IEEE

Approximating the single source unsplittable min-cost flow problem

14 years 4 months ago
Approximating the single source unsplittable min-cost flow problem
Abstract. In the single source unsplittable min-cost flow problem, commodities must be routed simultaneously from a common source vertex to certain destination vertices in a given graph with edge capacities and costs; the demand of each commodity must be routed along a single path so that the total flow through any edge is at most its capacity. Moreover, the total cost must not exceed a given budget. This problem has been introduced by Kleinberg [7] and generalizes several NP-complete problems from various areas in combinatorial optimization such as packing, partitioning, scheduling, load balancing, and virtual-circuit routing. Kolliopoulos and Stein [9] and Dinitz, Garg, and Goemans [4] developed algorithms improving the first approximation results of Kleinberg for the problem of minimizing the violation of edge capacities and for other variants. However, known techniques do not seem to be capable of providing solutions without also violating the cost constraint. We give the first app...
Martin Skutella
Added 24 Aug 2010
Updated 24 Aug 2010
Type Conference
Year 2000
Where FOCS
Authors Martin Skutella
Comments (0)