Quality Properties of Connected Flow Model and Application for Traffic
Sequential moving of particles in one direction is considered. Model of totally-connected flow is introduced in [1] -[4] and concerned to the type of follow-the-leader in traffic flow theory.Properties of traffic flow are significantly determinate by state-function. For describing of non connected flow we introduce new model when acceleration of particles takes into consideration the dynamics of neighborhoods particles.For a chain of particles the model is describing by differential equations of second degree. The function of communication for this model is defined. Inpartial case the sufficient conditions for convergence of solution the model to totally-connected state are obtained.In the case of leader-follower pair of particles with linear state and communication functionsthe statements of belonging of solutions to some Sobolev classes of function are proved.
Quality Properties of Connected Flow Model and Application for Traffic
Sequential moving of particles in one direction is considered. Model of totally-connected flow is introduced in [1] -[4] and concerned to the type of follow-the-leader in traffic flow theory.Properties of traffic flow are significantly determinate by state-function. For describing of non connected flow we introduce new model when acceleration of particles takes into consideration the dynamics of neighborhoods particles.For a chain of particles the model is describing by differential equations of second degree. The function of communication for this model is defined. Inpartial case the sufficient conditions for convergence of solution the model to totally-connected state are obtained.In the case of leader-follower pair of particles with linear state and communication functionsthe statements of belonging of solutions to some Sobolev classes of function are proved.
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- nonlinear differential equations for the model of
- totally connected traffic. Journal of Concrete and
- Applicable Mathematics. Eudoxus Press, LLC. Vol. 12
- Num’s 1-2, 2014, 86 – 93.
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- Theory, Transportation research board, ed. Gartner
- N, Special report, 165, 1992, p. 4.1 - 4.42
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- -281.
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- of Traffic Flow Theory International Journal of
- Computer Mathematics Vol. 89, 3, 2012, p.409-432
- A.N. Kolmogorov, Selected works. In 6
- volumes.Volume 1: Mathematics and mechanics. Nauka
- Moscow, 1985, pp. 1469 (in Russian) (V.M.
- Tikhomirov and G.G. Magaril – Ilyaev, Inequalities for
- derivatives, pp. 387389).
- Bugaev A.S., Buslaev A.P., Kozlov V.V., Yashina M.V.
- Distributed Problems of Monitoring and Modern
- Approaches to Traffic Modeling, p. 6, 14th International
- IEEE Conference on Intelligent Transportation Systems
- (ITSC 2011), Washington, USA, 5-7.10.2011
- Buslaev A.P., Provorov A.V., Yashina M.V.
- Infocommunication Systems of Saturated Traffic
- Control in Megalopolises. Proceedings of the 2013
- International Conference on Internet Computing and
- Big Data (WORLDCOMP13), 2013, Las Vegas, USA.
- pp. 622-625.
- Yashina M.V., Provorov A.V. Verification of
- Infocommunication System Components for Modeling
- and Control of Saturated Traffic in Megalopolis.
- Proceedings of the 8th International Conference on
- Dependability and Complex Systems DepCoSRELCOMEX
- Brunow, Poland. Springer, 2013. pp.
- -542.
- A.P. Buslaev, M.G. Gorodnichev, A.V. Provorov. Onedimensional
- Models of Particles Flow and
- Infocommunication Methods of Verification.
- Proceeding of The 2014 International Conference on
- Computational Science and Computational
- Intelligence, 10-12 March 2014, Las Vegas, USA
- V.V. Kozlov, A.P. Buslaev. On a system of
- nonlinear differential equations for the model of
- totally connected traffic. Journal of Concrete and
- Applicable Mathematics. Eudoxus Press, LLC. Vol. 12
- Num’s 1-2, 2014, 86 – 93.
- Rothery R.W. Car Following Models in Traffic Flow
- Theory, Transportation research board, ed. Gartner
- N, Special report, 165, 1992, p. 4.1 - 4.42
- Pipes L.A. An Operational Analysis of Traffic
- Dynamics, Journal of Applied Physics, 1953, v. 24, p.
- -281.
- Buslaev A.P. et al. Selected Mathematical Problems
- of Traffic Flow Theory International Journal of
- Computer Mathematics Vol. 89, 3, 2012, p.409-432
- A.N. Kolmogorov, Selected works. In 6
- volumes.Volume 1: Mathematics and mechanics. Nauka
- Moscow, 1985, pp. 1469 (in Russian) (V.M.
- Tikhomirov and G.G. Magaril – Ilyaev, Inequalities for
- derivatives, pp. 387389).
- Bugaev A.S., Buslaev A.P., Kozlov V.V., Yashina M.V.
- Distributed Problems of Monitoring and Modern
- Approaches to Traffic Modeling, p. 6, 14th International
- IEEE Conference on Intelligent Transportation Systems
- (ITSC 2011), Washington, USA, 5-7.10.2011
- Buslaev A.P., Provorov A.V., Yashina M.V.
- Infocommunication Systems of Saturated Traffic
- Control in Megalopolises. Proceedings of the 2013
- International Conference on Internet Computing and
- Big Data (WORLDCOMP13), 2013, Las Vegas, USA.
- pp. 622-625.
- Yashina M.V., Provorov A.V. Verification of
- Infocommunication System Components for Modeling
- and Control of Saturated Traffic in Megalopolis.
- Proceedings of the 8th International Conference on
- Dependability and Complex Systems DepCoSRELCOMEX
- Brunow, Poland. Springer, 2013. pp.
- -542.
- A.P. Buslaev, M.G. Gorodnichev, A.V. Provorov. Onedimensional
- Models of Particles Flow and
- Infocommunication Methods of Verification.
- Proceeding of The 2014 International Conference on
- Computational Science and Computational
- Intelligence, 10-12 March 2014, Las Vegas, USA
- ISSN: 2147-8228
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 2013
- Yayıncı: Selçuk Üniversitesi
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