English

Centralized Network Utility Maximization over Aggregate Flows

Networking and Internet Architecture 2017-03-03 v1 Optimization and Control

Abstract

We study a network utility maximization (NUM) decomposition in which the set of flow rates is grouped by source-destination pairs. We develop theorems for both single-path and multipath cases, which relate an arbitrary NUM problem involving all flow rates to a simpler problem involving only the aggregate rates for each source-destination pair. The optimal aggregate flows are then apportioned among the constituent flows of each pair. This apportionment is simple for the case of α\alpha-fair utility functions. We also show how the decomposition can be implemented with the alternating direction method of multipliers (ADMM) algorithm.

Keywords

Cite

@article{arxiv.1703.00525,
  title  = {Centralized Network Utility Maximization over Aggregate Flows},
  author = {Riten Gupta and Lieven Vandenberghe and Mario Gerla},
  journal= {arXiv preprint arXiv:1703.00525},
  year   = {2017}
}
R2 v1 2026-06-22T18:32:53.952Z