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arXiv · 2103.00404

Distributed Augmented Lagrangian Method for Link-Based Resource Sharing Problems of Multi-Agent Systems

Wicak Ananduta·Angelia Nedić·Carlos Ocampo-Martinez
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Abstract

A multi-agent optimization problem motivated by the management of energy systems is discussed. The associated cost function is separable and convex although not necessarily strongly convex and there exist edge-based coupling equality constraints. In this regard, we propose a distributed algorithm based on solving the dual of the augmented problem. Furthermore, we consider that the communication network might be time-varying and the algorithm might be carried out asynchronously. The time-varying nature and the asynchronicity are modeled as random processes. Then, we show the convergence and the convergence rate of the proposed algorithm under the aforementioned conditions.

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Wicak Ananduta, Angelia Nedić, Carlos Ocampo-Martinez. 2021-02-28. Distributed Augmented Lagrangian Method for Link-Based Resource Sharing Problems of Multi-Agent Systems. https://doi.org/10.1109/tac.2021.3092561

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