A note on the greedy algorithm for the unsplittable flow problem
β Scribed by Petr Kolman
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 161 KB
- Volume
- 88
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
β¦ Synopsis
In a recent paper Chekuri and Khanna improved the analysis of the greedy algorithm for the edge disjoint paths problem and proved the same bounds also for the related uniform capacity unsplittable flow problem. Here we show that their ideas can be used to get the same approximation ratio even for the more general Unsplittable Flow Problem with nonuniform edge capacities.
π SIMILAR VOLUMES
Given a collection I I of n jobs that are represented by intervals, we seek a maximal feasible assignment of the jobs to k machines such that not more than Ε½ . c M intervals overlap pairwise on any machine M and that a job is only assigned to a machine if it fits into one of several prescribed time