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.
Highlights
Since the middle of the last century, the increase in the density of automobile traffic has become a serious problem for large cities
Let's consider the movement of motor vehicles in a dense traffic flow in the case when, as a result of an road traffic accidents (RTA) or repair works, traffic along one of the lanes is blocked
We will consider the segment of the road network between two neighboring intersections, where an RTA occurred or repairs are being carried out, as an open queuing system
Summary
Since the middle of the last century, the increase in the density of automobile traffic has become a serious problem for large cities. Since simulating traffic flows has become an urgent task to choose the optimal movement scheme for the vehicles along the street and road network. Optimization criteria are, for example, the time needed to pass an individual section of the road network, reducing conflict points and the probability of road accidents, as well as the number and duration of congestion. The mathematical models of transport flow are currently divided into macroscopic, mesoscopic, and microscopic. Macroscopic simulation establishes functional dependencies between individual flow indicators, for example, speed and distance between vehicles moving in the flow. Dynamic macroscopic models describe the process of changing the transport flow in time and space using differential equations. For a large road network, simulation modeling is used.
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