Pospelov Pavel Ivanovich (Doctor of Technical Sciences, Professor, Moscow Automobile and Road State Technical University (MADI) (Moscow))
Tatashev Aleksandr Gennadyevich (Doctor of Physical and Mathematical Sciences, Professor, Moscow Automobile and Road State Technical University (MADI) (Moscow))
Terentyev Alexey Vyacheslavovich (Doctor of Technical Sciences, Professor, Moscow Automobile and Road State Technical University (MADI) (Moscow))
Trofimenko Yury Vasilyevich (Doctor of Technical Sciences, Professor, Moscow Automobile and Road State Technical University (MADI) (Moscow))
Yashina Marina Viktorovna (Doctor of Technical Sciences, Professor, Moscow Automobile and Road State Technical University (MADI) (Moscow))
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This paper examines the application of the theory of queuing in the modeling of traffic flows. When modeling traffic flow using a service system, it is usually assumed that the application corresponds to a vehicle. Such queuing models are most often used when analyzing traffic at the intersection of roads. In addition to models of this type, this paper considers service models that have a different interpretation. For example, when representing a traffic flow in the form of particles moving along a discrete grid, the flow characteristics are studied using a queuing network in which the particles correspond to the serviced nodes, and the free grid cells located in front of the particle represent applications that are in the queue of this node and waiting for service.
Keywords:mathematical traffic models, traffic flows, queuing systems and networks, transport ecology, road safety, traffic organization at intersections, random processes with prohibitions.
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Citation link:
Pospelov P. I., Tatashev A. G., Terentyev A. V., Trofimenko Y. V., Yashina M. V. Service systems as traffic models and applications to environmental problems // Современная наука: актуальные проблемы теории и практики. Серия: Естественные и Технические Науки. -2022. -№01. -С. 100-108 DOI 10.37882/2223-2966.2022.01.27 |
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