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The optimal offloading of tasks in heterogeneous edge-computing scenarios isof great practical interest, both in the selfish and fully cooperative setting.In practice, such systems are typically very large, rendering exact solutionsin terms of cooperative optima or Nash equilibria intractable. For thispurpose, we adopt a general mean-field formulation in order to solve thecompetitive and cooperative offloading problems in the limit of infinitelylarge systems. We give theoretical guarantees for the approximation propertiesof the limiting solution and solve the resulting mean-field problemsnumerically. Furthermore, we verify our solutions numerically and find that ourapproximations are accurate for systems with dozens of edge devices. As aresult, we obtain a tractable approach to the design of offloading strategiesin large edge-computing scenarios with many users.

Optimal Offloading Strategies for Edge-Computing via Mean-Field Games and Control