Impulsive Control for G-AIMD Dynamics with Relaxed and Hard Constraints.



Avrachenkov, Konstantin, Piunovskiy, Alexei B ORCID: 0000-0002-9683-4856 and Zhang, Yi
(2019) Impulsive Control for G-AIMD Dynamics with Relaxed and Hard Constraints. CoRR, abs/18. pp. 880-887.

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Abstract

Motivated by various applications from Internet congestion control to power control in smart grids and electric vehicle charging, we study Generalized Additive Increase Multiplicative Decrease (G-AIMD) dynamics under impulsive control in continuous time with the time average alpha-fairness criterion. We first show that the control under relaxed constraints can be described by a threshold. Then, we propose a Whittle-type index heuristic for the hard constraint problem. We prove that in the homogeneous case the index policy is asymptotically optimal when the number of users is large.

Item Type: Article
Uncontrolled Keywords: 7 Affordable and Clean Energy
Depositing User: Symplectic Admin
Date Deposited: 09 May 2018 09:19
Last Modified: 15 Mar 2024 11:13
DOI: 10.1109/cdc.2018.8619537
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3021079