Analysis of Known Linear Distributed Average Consensus Algorithms on Cycles and Paths
Department of Biomedical Engineering and Sciences, Tecnun, University of Navarra, Manuel Lardizábal 13, 20018 San Sebastián, Spain
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Sensors 2018, 18(4), 968; https://doi.org/10.3390/s18040968
Received: 22 February 2018 / Revised: 20 March 2018 / Accepted: 22 March 2018 / Published: 24 March 2018
(This article belongs to the Special Issue Smart Communication Protocols and Algorithms for Sensor Networks)
In this paper, we compare six known linear distributed average consensus algorithms on a sensor network in terms of convergence time (and therefore, in terms of the number of transmissions required). The selected network topologies for the analysis (comparison) are the cycle and the path. Specifically, in the present paper, we compute closed-form expressions for the convergence time of four known deterministic algorithms and closed-form bounds for the convergence time of two known randomized algorithms on cycles and paths. Moreover, we also compute a closed-form expression for the convergence time of the fastest deterministic algorithm considered on grids.
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Keywords:
average consensus algorithms; distributed computation; sensor networks; convergence time; number of transmissions
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MDPI and ACS Style
Gutiérrez-Gutiérrez, J.; Zárraga-Rodríguez, M.; Insausti, X. Analysis of Known Linear Distributed Average Consensus Algorithms on Cycles and Paths. Sensors 2018, 18, 968. https://doi.org/10.3390/s18040968
AMA Style
Gutiérrez-Gutiérrez J, Zárraga-Rodríguez M, Insausti X. Analysis of Known Linear Distributed Average Consensus Algorithms on Cycles and Paths. Sensors. 2018; 18(4):968. https://doi.org/10.3390/s18040968
Chicago/Turabian StyleGutiérrez-Gutiérrez, Jesús; Zárraga-Rodríguez, Marta; Insausti, Xabier. 2018. "Analysis of Known Linear Distributed Average Consensus Algorithms on Cycles and Paths" Sensors 18, no. 4: 968. https://doi.org/10.3390/s18040968
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