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Fractional Deep Reinforcement Learning for Age-Minimal Mobile Edge Computing

AAAI 2024 · Reinforcement learning › Policy gradient and actor-critic · approach: Regularized scalable deep value learning · 10 citations (OpenAlex)

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Proposes a fractional RL/DRL framework (Dinkelbach-based, with a provably linearly convergent fractional Q-learning) to jointly optimize task updating (waiting) and offloading to minimize expected time-average AoI in MEC systems.

Problem

Minimizing the time-average Age-of-Information of computational tasks in mobile edge computing with unknown edge load dynamics, where the AoI objective is a ratio (fractional) and the action space is hybrid (discrete offloading plus continuous waiting time).

Approach

Reformulate the fractional AoI objective via Dinkelbach's method and a discounted MDP, then iterate a quotient coefficient outer loop with an inner Q-learning loop; combine this fractional cost with D3QN (discrete offloading) and DDPG (continuous updating) in a distributed per-device algorithm.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
use fractional DRL rather than non-fractional DRLMEC task scheduling · drop coefficient 1.0average AoI: 57.6%Helped
jointly optimize task updating and offloading rather than offloading only (ablation)Frac. DRL · convergence evaluationaverage AoI: 31.3%Helped
add task updating policy to offloading policy (ablation)Frac. DRL · edge capacity 55 GHzaverage AoI: up to 19.9%Helped
add task updating policy to offloading policy (ablation)Frac. DRL · task density 0.65average AoI: up to 24.2%Helped
use learning rate 3×10^-4 instead of an excessively large or small D3QN learning rate (ablation)Frac. DRL (OFL) · hyperparameter evaluationaverage AoI: nullHelped
use D3QN learning rate 3×10^-1 (ablation)Frac. DRL (OFL) · hyperparameter evaluationconvergence: nullHurt
use D3QN learning rate 3×10^-5 (ablation)Frac. DRL (OFL) · hyperparameter evaluationconvergence speed: nullHurt
reduce D3QN batch size to 8 rather than 32 (ablation)Frac. DRL (OFL) · hyperparameter evaluationaverage AoI: nullHurt
use RMSProp or Adam rather than gradient descent (ablation)Frac. DRL (OFL) · hyperparameter evaluationconverged average AoI: nullHelped
increase DDPG actor and critic learning rates above 3×10^-4 and 3×10^-3 (ablation)Frac. DRL (OFL+U) · hyperparameter evaluationconvergence and average AoI: nullHurt
use DDPG batch size 64 rather than larger or smaller batch sizes (ablation)Frac. DRL (OFL+U) · hyperparameter evaluationconverged average AoI: nullHelped
switch between Adam, gradient descent, and RMSProp (ablation)Frac. DRL (OFL+U) · hyperparameter evaluationaverage AoI: nullNo clear effect

Surprising findings

Limitations

Experimental setup

Benchmarks: simulated MEC environment

Metrics: average AoI AoI reduction percentage

Baselines: Random scheduling PGOA Non-Frac. DRL Frac. DRL (OFL)

Builds on: Dinkelbach's method D3QN DDPG Speedy Q-Learning

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