Modern Sediment Model of Traffic Flow

Author:

Yedilbayev Bauyrzhan1,Brener Arnold2,Shokanova Akmaral3,Boltayeva Aigul1

Affiliation:

1. Al-Farabi KazNU , Almaty , Republic of Kazakhstan

2. M. Auezov University of South Kazakhstan , Shymkent , Republic of Kazakhstan

3. Kazakh Scientific Research Institute for Plant Protection and Quarantine , Almaty , Republic of Kazakhstan

Abstract

Abstract The work deals with the mathematical modeling of traffic phenomena. The submitted model is based on a prospective analogy of some described phenomena with particle sedimentation. Both the qualitative analysis of the model and the numerical experiment is carried out. Qualitative results of the research have been compared with the known data of supervision of the traffic on city highways. As a result, the main control parameters which can use for optimal traffic management are highlighted and justified.

Publisher

Walter de Gruyter GmbH

Subject

Computer Science Applications,General Engineering

Reference22 articles.

1. 1. Antonella, F., Simona, S, Silvia, S. (2018) Advances in Industrial Control, Freeway Traffic Modelling and Control. Springer International Publishing AG, 316 p.

2. 2. Brener, A., Balabekov, O. and Yedilbayev, B. (2013) New models of traffic intensity. The 13th World conference on traffic research. Rio de Janeiro, Brazil.

3. 3. Cremer, M., Ludwig, J. (1986) A fast simulation model for traffic flow on the basis of Boolean operations, Math. Comp Simul., 28, 297-303.

4. 4. Chowdhury, D., Santen, L., Schadschneider, A. (2000) Statistical physics of vehicular traffic and some related systems, Phys. Rep., 329, 199-329.

5. 5. Greenberg, H. (1959) An analysis of traffic flow. Operations Research, 7, 79-85.

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