Analysis of Known Linear Distributed Average Consensus Algorithms on Cycles and Paths
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. Specifical...
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| Format: | Article |
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MDPI AG
2018-03-01
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| Series: | Sensors |
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| Online Access: | http://www.mdpi.com/1424-8220/18/4/968 |
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| author | Jesús Gutiérrez-Gutiérrez Marta Zárraga-Rodríguez Xabier Insausti |
| author_facet | Jesús Gutiérrez-Gutiérrez Marta Zárraga-Rodríguez Xabier Insausti |
| author_sort | Jesús Gutiérrez-Gutiérrez |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-14T05:16:06Z |
| format | Article |
| id | doaj.art-0573062b3c9340d0902090d1f990d0d5 |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-04-14T05:16:06Z |
| publishDate | 2018-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-0573062b3c9340d0902090d1f990d0d52022-12-22T02:10:21ZengMDPI AGSensors1424-82202018-03-0118496810.3390/s18040968s18040968Analysis of Known Linear Distributed Average Consensus Algorithms on Cycles and PathsJesús Gutiérrez-Gutiérrez0Marta Zárraga-Rodríguez1Xabier Insausti2Department of Biomedical Engineering and Sciences, Tecnun, University of Navarra, Manuel Lardizábal 13, 20018 San Sebastián, SpainDepartment of Biomedical Engineering and Sciences, Tecnun, University of Navarra, Manuel Lardizábal 13, 20018 San Sebastián, SpainDepartment of Biomedical Engineering and Sciences, Tecnun, University of Navarra, Manuel Lardizábal 13, 20018 San Sebastián, SpainIn 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.http://www.mdpi.com/1424-8220/18/4/968average consensus algorithmsdistributed computationsensor networksconvergence timenumber of transmissions |
| spellingShingle | Jesús Gutiérrez-Gutiérrez Marta Zárraga-Rodríguez Xabier Insausti Analysis of Known Linear Distributed Average Consensus Algorithms on Cycles and Paths Sensors average consensus algorithms distributed computation sensor networks convergence time number of transmissions |
| title | Analysis of Known Linear Distributed Average Consensus Algorithms on Cycles and Paths |
| title_full | Analysis of Known Linear Distributed Average Consensus Algorithms on Cycles and Paths |
| title_fullStr | Analysis of Known Linear Distributed Average Consensus Algorithms on Cycles and Paths |
| title_full_unstemmed | Analysis of Known Linear Distributed Average Consensus Algorithms on Cycles and Paths |
| title_short | Analysis of Known Linear Distributed Average Consensus Algorithms on Cycles and Paths |
| title_sort | analysis of known linear distributed average consensus algorithms on cycles and paths |
| topic | average consensus algorithms distributed computation sensor networks convergence time number of transmissions |
| url | http://www.mdpi.com/1424-8220/18/4/968 |
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