### Journals Information

Civil Engineering and Architecture Vol. 9(7), pp. 2140 - 2146
DOI: 10.13189/cea.2021.090703
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## Application of Mathematical Modeling Methods for Operational Optimization of Urban Traffic in an Accident on a Section of the Road Network

Natalya Alexandrovna Naumova *
Institute of Fundamental Sciences, Department of Applied Mathematics, Kuban State Technological University, 2-A Moskovskaya Str., Krasnodar, 350072, Russia

ABSTRACT

Simulating traffic flows is an urgent task when choosing the optimal movement scheme of vehicles along the road network. One of the problems affecting the convenience of moving on the road network is road accidents. The article considers the problem of simulating the movement of vehicles when bypassing the scene of a traffic accident. A mathematical model reflecting the movement of motor vehicles in a dense traffic flow has been developed in the case when traffic along one of the lanes is blocked as a result of a traffic accident or repair work. The time intervals between cars in each lane are assumed to be subordinate to Erlang's law. The scene of the incident is presented as a queuing system. Using the method of pseudo-states and Markov chains, the author calculated the movement characteristics of the vehicles near the scene of a traffic accident. Simulating the movement of traffic flows near the accident sites allows predicting the delays caused by vehicles, and adjusting the optimal traffic management schemes.

KEYWORDS
Mathematical Model, Traffic Flow, Queuing System, Traffic Management, Traffic Accident

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Natalya Alexandrovna Naumova , "Application of Mathematical Modeling Methods for Operational Optimization of Urban Traffic in an Accident on a Section of the Road Network," Civil Engineering and Architecture, Vol. 9, No. 7, pp. 2140 - 2146, 2021. DOI: 10.13189/cea.2021.090703.

(b). APA Format:
Natalya Alexandrovna Naumova (2021). Application of Mathematical Modeling Methods for Operational Optimization of Urban Traffic in an Accident on a Section of the Road Network. Civil Engineering and Architecture, 9(7), 2140 - 2146. DOI: 10.13189/cea.2021.090703.