Abstract
This work deals with the minimum congestion single-source k-splittable flow problem: given a network and a set of terminal pairs sharing a common source node, the aim is to route concurrently all demands using at most k supporting paths for each commodity and minimizing the congestion on arcs. Dinitz et al. proposed in [Y. Dinitz, N. Garg, M.X. Goemans, On the single-source unsplittable flow problem, Combinatorica 19 (1999) 17–41] the best known constant factor approximated algorithm for the case of k = 1 , namely the single source unsplittable case. Here we consider an adaptation of such an algorithm to the k-splittable case. Moreover, we propose a heuristic improvement of the first step of this algorithm, that provides experimentally better results without affecting the approximation guarantee of the algorithm.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.