TY  - JOUR
AU  - Anđelković, Miroslav
AU  - Gupte, Neelima
AU  - Tadić, Bosiljka
PY  - 2015
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/563
AB  - We introduce an approach based on algebraic topological methods that allow an accurate characterization of jamming in dynamical systems with queues. As a prototype system, we analyze the traffic of information packets with navigation and queuing at nodes on a network substrate in distinct dynamical regimes. A temporal sequence of traffic density fluctuations is mapped onto a mathematical graph in which each vertex denotes one dynamical state of the system. The coupling complexity between these states is revealed by classifying agglomerates of high-dimensional cliques that are intermingled at different topological levels and quantified by a set of geometrical and entropy measures. The free-flow, jamming, and congested traffic regimes result in graphs of different structure, while the largest geometrical complexity and minimum entropy mark the edge of the jamming region.
T2  - Physical Review E
T1  - Hidden geometry of traffic jamming
VL  - 91
IS  - 5
DO  - 10.1103/PhysRevE.91.052817
ER  - 

@article{
author = "Anđelković, Miroslav and Gupte, Neelima and Tadić, Bosiljka",
year = "2015",
abstract = "We introduce an approach based on algebraic topological methods that allow an accurate characterization of jamming in dynamical systems with queues. As a prototype system, we analyze the traffic of information packets with navigation and queuing at nodes on a network substrate in distinct dynamical regimes. A temporal sequence of traffic density fluctuations is mapped onto a mathematical graph in which each vertex denotes one dynamical state of the system. The coupling complexity between these states is revealed by classifying agglomerates of high-dimensional cliques that are intermingled at different topological levels and quantified by a set of geometrical and entropy measures. The free-flow, jamming, and congested traffic regimes result in graphs of different structure, while the largest geometrical complexity and minimum entropy mark the edge of the jamming region.",
journal = "Physical Review E",
title = "Hidden geometry of traffic jamming",
volume = "91",
number = "5",
doi = "10.1103/PhysRevE.91.052817"
}

Anđelković, M., Gupte, N.,& Tadić, B.. (2015). Hidden geometry of traffic jamming. in Physical Review E, 91(5).
https://doi.org/10.1103/PhysRevE.91.052817

Anđelković M, Gupte N, Tadić B. Hidden geometry of traffic jamming. in Physical Review E. 2015;91(5).
doi:10.1103/PhysRevE.91.052817 .

Anđelković, Miroslav, Gupte, Neelima, Tadić, Bosiljka, "Hidden geometry of traffic jamming" in Physical Review E, 91, no. 5 (2015),
https://doi.org/10.1103/PhysRevE.91.052817 . .