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dc.contributor.author
Lotito, Pablo Andres  
dc.contributor.author
Mancinelli, Elina Mafalda  
dc.contributor.author
Quadrat, Jean Pierre  
dc.date.available
2024-07-15T11:33:46Z  
dc.date.issued
2005-05  
dc.identifier.citation
Lotito, Pablo Andres; Mancinelli, Elina Mafalda; Quadrat, Jean Pierre; A min-plus derivation of the fundamental car-traffic law; Institute of Electrical and Electronics Engineers; IEEE Transactions on Automatic Control; 50; 5; 5-2005; 699-705  
dc.identifier.issn
0018-9286  
dc.identifier.uri
http://hdl.handle.net/11336/239879  
dc.description.abstract
We give deterministic and stochastic models of the traffic on a circular road without overtaking. From this model the mean speed is derived as an eigenvalue of the min-plus matrix describing thedynamics of the system in the deterministic case and as the Lyapunov exponent of a min-plus stochastic matrix in the stochastic case. The eigenvalue and the Lyapunov exponent are computed explicitly. From these formulae we derive the fundamental law that links the flow to the density of vehicles on the road. Numerical experiments using the  MaxPlus toolbox of Scilab confirm the theoretical results obtained.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Institute of Electrical and Electronics Engineers  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
CELLULAR AUTOMATA  
dc.subject
FUNDAMENTAL DIAGRAM  
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LYAPUNOV EXPONENT  
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MAX-PLUS ALGEBRA  
dc.subject.classification
Matemática Aplicada  
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Matemáticas  
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CIENCIAS NATURALES Y EXACTAS  
dc.title
A min-plus derivation of the fundamental car-traffic law  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2024-07-10T14:56:30Z  
dc.journal.volume
50  
dc.journal.number
5  
dc.journal.pagination
699-705  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: Lotito, Pablo Andres. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina. Institut national de recherche sur les transports et leur sécurité; Francia  
dc.description.fil
Fil: Mancinelli, Elina Mafalda. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Tandil; Argentina. Institut National de Recherche en Informatique et en Automatique; Francia  
dc.description.fil
Fil: Quadrat, Jean Pierre. Institut National de Recherche en Informatique et en Automatique; Francia  
dc.journal.title
IEEE Transactions on Automatic Control  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://ieeexplore.ieee.org/document/1431054  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1109/TAC.2005.848336  

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