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@article{Bonsma2011ACF, title={A Constant Factor Approximation Algorithm for Unsplittable Flow on Paths}, author={Paul S. Bonsma and Jens Schulz and Andreas Wiese}, journal={2011 IEEE 52nd Annual Symposium on Foundations of Computer Science}, year={2011}, pages={47-56} }

- Published 2011 in 2011 IEEE 52nd Annual Symposium on Foundations ofâ€¦
DOI:10.1109/FOCS.2011.10

In this paper, we present a constant-factor approximation algorithm for the unsplittable flow problem on a path. This improves on the previous best known approximation factor of O(log n). The approximation ratio of our algorithm is 7+e for any e>0. In the unsplittable flow problem on a path, we are given a capacitated path P and n tasks, each task having a demand, a profit, and start and end vertices. The goal is to compute a maximum profit set of tasks, such that for each edge e of P, theâ€¦Â CONTINUE READING

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