Title A Game Theoretical Randomized Method for Large-Scale System Partitioning
Authors MUROS, FRANCISCO JAVIER, Maria Maestre, Jose , Ocampo-Martinez, Carlos , Algaba, Encarnacion , Camacho, Eduardo F.
External publication Si
Means IEEE Access
Scope Article
Nature Científica
JCR Quartile 1
SJR Quartile 1
JCR Impact 4.098
Web https://www.scopus.com/inward/record.uri?eid=2-s2.0-85049780055&doi=10.1109%2fACCESS.2018.2854783&partnerID=40&md5=378604609f3d7cc5ddf106ac70fee950
Publication date 01/01/2018
ISI 000442404500006
Scopus Id 2-s2.0-85049780055
DOI 10.1109/ACCESS.2018.2854783
Abstract In this paper, a game theory-based partitioning algorithm for large-scale systems (LSS) is proposed. More specifically, 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 efficient 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 fine 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.
Keywords Coalitional control; cooperative game theory; system partitioning; randomized methods; Shapley value; large-scale systems (LSS); drinking water networks (DWN)
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