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.
Text
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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 |
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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 |