Network utility maximization revisited: Three issues and their resolution

Akhil, P T and Sundaresan, Rajesh (2019) Network utility maximization revisited: Three issues and their resolution. In: PERFORMANCE EVALUATION, 136 .

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Abstract

Distributed and iterative network utility maximization algorithms, such as the primal dual algorithms or the network-user decomposition algorithms, often involve trajectories where the iterates may be infeasible, convergence to the optimal points of relaxed problems different from the original, or convergence to local maxima. In this paper, we highlight the three issues with iterative algorithms. We then propose a distributed and iterative algorithm that does not suffer from the three issues. In particular, we assert the feasibility of the algorithm's iterates at all times, convergence to global maximum of the given problem (rather than to global maximum of a relaxed problem), and avoidance of any associated spurious rest points of the dynamics. A benchmark algorithm due to Kelly et al. (1998) involves fast user updates coupled with slow network updates in the form of additive-increase multiplicative-decrease of suggested user flows. The proposed algorithm may be viewed as one with fast user updates and fast network updates that keeps the iterates feasible at all times. Simulations suggest that the convergence rate of the ordinary differential equation (ODE) tracked by our proposed algorithm's iterates is comparable to that of the ODE for the aforementioned benchmark algorithm.

Item Type:	Journal Article
Publication:	PERFORMANCE EVALUATION
Publisher:	ELSEVIER
Additional Information:	Copyright of this article belongs to ELSEVIER
Keywords:	Convex programming; Network utility maximization; Kelly decomposition; Distributed interior point method
Department/Centre:	Division of Electrical Sciences > Electrical Communication Engineering Division of Interdisciplinary Sciences > Robert Bosch Centre for Cyber Physical Systems
Date Deposited:	10 Jan 2020 09:19
Last Modified:	10 Jan 2020 09:19
URI:	http://eprints.iisc.ac.in/id/eprint/64262

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