Impulsive Control for G-AIMD Dynamics with Relaxed and Hard Constraints - Archive ouverte HAL Access content directly
Conference Papers Year : 2018

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

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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.
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Dates and versions

hal-01966182 , version 1 (27-12-2018)

Identifiers

  • HAL Id : hal-01966182 , version 1

Cite

Konstantin Avrachenkov, Alexei Piunovskiy, Yi Zhang. Impulsive Control for G-AIMD Dynamics with Relaxed and Hard Constraints. IEEE CDC 2018, Dec 2018, Miami Beach, United States. ⟨hal-01966182⟩
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