A Game Theoretical Randomized Method for Large-Scale Systems Partitioning

In this paper, a game theory-based partitioning algorithm for large-scale systems (LSS) is proposed. More speci cally, a game over nodes is introduced in a model predictive control framework. The Shapley value of this game is used to rank the communication links of the control network based on their...

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Detalles Bibliográficos
Autores: Muros Ponce, Francisco Javier, Maestre Torreblanca, José María, Ocampo-Martínez, Carlos, Algaba Durán, Encarnación, Camacho, Eduardo F.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/94703
Acceso en línea:https://hdl.handle.net/11441/94703
https://doi.org/10.1109/ACCESS.2018.2854783
Access Level:acceso abierto
Palabra clave:Coalitional control
Cooperative game theory
System partitioning
Randomized methods
Shapley value
Large-scale systems (LSS)
Drinking water networks (DWN)
Descripción
Sumario:In this paper, a game theory-based partitioning algorithm for large-scale systems (LSS) is proposed. More speci cally, a game over nodes is introduced in a model predictive control framework. The Shapley value of this game is used to rank the communication links of the control network based on their impact on the overall system performance. A randomized method to estimate the Shapley value of each node and also an ef cient redistribution of the resulting value to the links involved are considered to relieve the combinatorial explosion issues related to LSS. Once the partitioning solution is obtained, a sensitivity analysis is proposed to give a measure of its performance. Likewise, a greedy ne tuning procedure is considered to increase the optimality of the partitioning results. The full Barcelona drinking water network is analyzed as a real LSS case study, showing the effectiveness of the proposed approach in comparison with other partitioning schemes available in the literature.