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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Models of analysis and forecasting of the traffic situation </article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Yaroslav I. Shamlitskiy</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Daria V. Rogova</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Anastasiya S. Polyakova</string-name>
          <email>polyakova_nasty@mail.ru</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Anatoly A. Popov</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Leonid V. Lipinskiy</string-name>
          <email>lipinskiyl@mail.ru</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Reshetnev Siberian State University of Science and Technology</institution>
          ,
          <addr-line>31, Krasnoyarskiy rabochiy pr., Krasnoyarsk, 660037</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <fpage>125</fpage>
      <lpage>132</lpage>
      <abstract>
        <p>   The article discusses the results of the analysis of methods and models for predicting road safety. The problem of creating mathematical models and software for describing and analyzing traffic processes is very relevant. The analysis of the study of road traffic accidents is given and the cause-and-effect relationships of road traffic and the conditions for the occurrence of problem situations are established. The task of developing a methodology for predicting and preventing road accidents with the aim of reducing road accidents is being solved. An example of a simulation model that describes the route network of a city is given. A computer experiment was able to trace the congestion of sections of the road network. This work is devoted to solving a number of problems associated with this problem, aimed at improving the quality of the city's transport system by reducing the likelihood of an accident and eliminating the downtime of route vehicles due to congestion and traffic jams, and also contributes to the timely delivery of passengers to a certain destination. With the help of the developed model, it is possible to study bottlenecks of transport services, assess the traffic situation, reduce tension and the number of accidents on the roads, improve the environmental situation, identify further directions of development and improvement.</p>
      </abstract>
      <kwd-group>
        <kwd> 1  Traffic situation</kwd>
        <kwd>road traffic</kwd>
        <kwd>mathematical models</kwd>
        <kwd>simulation traffic</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction </title>
      <sec id="sec-1-1">
        <title>Today, improving the level of road safety, as well as preserving the life and health of citizens is one of the main priority directions of the state policy of the Russian Federation and an important indicator of ensuring socio-economic and demographic development [1-3].</title>
      </sec>
      <sec id="sec-1-2">
        <title>For the medium-term planning period, the basis of this policy is the Road Safety Strategy in the</title>
        <p>
          Russian Federation for 2018 - 2024 (Strategy), approved by the order of the Government of the Russian
Federation dated January 08, 2018 No. 1-r. The main goal of the Strategy is to strive for zero mortality
rates on the roads by 2030, and the target for 2024 is the level of social risk, which is no more than 4
deaths as a result of road traffic accidents per 100 thousand population [
          <xref ref-type="bibr" rid="ref4 ref5 ref6">4- 6</xref>
          ].
        </p>
      </sec>
      <sec id="sec-1-3">
        <title>According to the data provided in the Strategy, road accidents caused colossal social, material and</title>
        <p>
          demographic damage to the Russian economy. 2007 to 2016 271 thousand people died in road
accidents, 2.5 million people were injured. More than 30% of those killed in road accidents are citizens
of active working age (26-40 years), 20% of the victims remain disabled. Every year, the economic
losses of the state from road accidents amount to about 2% of the gross domestic product [
          <xref ref-type="bibr" rid="ref7 ref8 ref9">7-9</xref>
          ].
        </p>
      </sec>
      <sec id="sec-1-4">
        <title>An increase in the number of private vehicles and an increase in the intensity of commercial freight</title>
        <p>
          and passenger traffic requires constant work to ensure road safety, reduce the number of accidents and
eliminate the places of concentration of accidents [
          <xref ref-type="bibr" rid="ref10">10-12</xref>
          ].
        </p>
        <p>The priority areas specified in the Strategy include:
 Changing the behavior of road users, aimed at unconditional compliance with the rules and
regulations
 Increasing the protection from road accidents and their consequences for the most vulnerable
road users, especially children and pedestrians
 Improvement of the road network in terms of road safety, including the development of work
on the organization of road traffic
 Improvement of organizational and legal mechanisms for admitting vehicles and their drivers
to participate in road traffic
 Improvement of the road safety management system - development of the system of assistance
and rescue of victims of road accidents</p>
      </sec>
      <sec id="sec-1-5">
        <title>The object of the research is road traffic accidents, and the subject of the research is the cause-and</title>
        <p>effect relationship of road traffic and the conditions for the occurrence of an accident.</p>
      </sec>
      <sec id="sec-1-6">
        <title>To implement the directions identified in the Strategy, along with practical measures, scientific research is required.</title>
      </sec>
      <sec id="sec-1-7">
        <title>The relevance of this problem, which is of great socio-economic importance, as well as its theoretical and practical significance, predetermined the choice of the topic, the formulation of the goals and objectives of the study.</title>
      </sec>
      <sec id="sec-1-8">
        <title>The need to reduce road traffic deaths as a result of road accidents leads to the need for the development and improvement of scientific and methodological approaches to predicting and preventing road traffic accidents.</title>
      </sec>
      <sec id="sec-1-9">
        <title>The main task in this work is to develop a methodology for predicting and preventing road traffic accidents in order to reduce road accidents.</title>
      </sec>
    </sec>
    <sec id="sec-2">
      <title>2. Methods for determining road safety  </title>
      <sec id="sec-2-1">
        <title>Computer programs are capable of performing complex calculations during the examination of an</title>
        <p>
          accident without increasing the duration of the examination. The use of electronic computers in the
investigation of road accidents is not something new. Since 1964, the All-Russian Scientific Research
Institute of Forensic Expertise has introduced into expert practice the program "Autoex" program into
expert practice, designed to study pedestrian collisions [
          <xref ref-type="bibr" rid="ref1">1</xref>
          ]. The third version of the program
"Autoex3" is capable of solving 14 most common questions: eight concerning a collision with a pedestrian with
unlimited visibility and visibility; the other six - with visibility limited by the car (moving or stationary)
[
          <xref ref-type="bibr" rid="ref1 ref3">1, 3</xref>
          ]. The program in its calculations is based on a formatted model of expert research of collisions. In
total, "Autoex-3" provides for the input of over 40 initial data. For most quantitative data, up to 4
variants of numerical values are provided, and for qualitative data - up to 10. The expert was required
first of all to study the initial data, and then encode them and enter them into a special coding form,
consisting of two columns: a list of encoded data and a set code.
        </p>
      </sec>
      <sec id="sec-2-2">
        <title>Another system, "Collision Analysis", was developed at the Moscow Automobile and Highway</title>
        <p>State Technical University. Its main feature is that it is universal for any type of collision. When
calculating for each collision, its own program is used, and the machine gives only the results of
calculations and conclusions. This system was further developed in the form of the Expert Analysis
application package. Here, an interactive mode of operation already took place: the program
sequentially required the expert to enter the corresponding initial data from the keyboard. At the end of
the input, the system draws up the input data in the form of tables and displays it on the monitor so that
the expert can check their correctness. Then the entered data is accepted for calculation, which occurs
in several stages, depending on the algorithm. At the end of the calculation process, the machine
displays the calculation results and outputs on the screen or, if necessary, prints out.</p>
        <p>There is one more system "Expertise-4" based on the analog computing device MN-10. The main
difference between analog and digital computers is that in this device data is represented in the form of
analog physical quantities that are continuously changing over time. Each device is designed according
to a specific scheme in accordance with the tasks it solves. The "Expertise-4" system is designed to
investigate pedestrian collisions and collisions. There are various programmable calculators that are
easy to use but don't have as much computing power. A comprehensive analysis of existing methods
for analyzing road safety indicators is reflected in the work of L S Abramova [13].</p>
      </sec>
      <sec id="sec-2-3">
        <title>According to the analysis of the sectoral regulatory document, a system of coefficients is used to assess the rate of accident rate of a road section:</title>
      </sec>
      <sec id="sec-2-4">
        <title>Relative accident rate:</title>
        <p></p>
      </sec>
      <sec id="sec-2-5">
        <title>For long and uniform sections of roads (highways) [9]:</title>
        <p>, Accidents per 1 million auto – km. 
where z – is the number of accidents during the time period T; T – time period, [days]; N – the average
annual traffic intensity (average over the time period T), [auto/day]; L is the length of the road section,</p>
        <p />
      </sec>
      <sec id="sec-2-6">
        <title>For short sections of roads (intersections, junctions, etc.) [9]:</title>
        <p>, Traffic accidents for 1 million vehicles. </p>
      </sec>
      <sec id="sec-2-7">
        <title>The next method, which can also be attributed to the method of statistical processing of road accident</title>
        <p>
          data, is a method that allows you to determine the danger of a road section [
          <xref ref-type="bibr" rid="ref9">9</xref>
          ]:
        </p>
        <p>– hazard indicator; p0,…,p3 – conditional accident severity factors; n0,…,n3 – the number of
road accidents with material damage, minor injury, severe injury and death of people, respectively.</p>
        <p>
          The value of the hazard 
intensity, is calculated by the formula [
          <xref ref-type="bibr" rid="ref6">6</xref>
          ]:
        </p>
        <p>for the highway, taking into account the value of the average daily
– hazard indicator; pi – severity coefficient of road accidents in this group; ni – number of
accidents in this group; l – highway length, [m].; Na – average daily traffic intensity.</p>
      </sec>
      <sec id="sec-2-8">
        <title>The second group includes methods for determining the parameters of the conditions and modes of movement of vehicles: Safety factor method [6]: [m].</title>
        <p>– danger of conflict point; 
– the relative accident rate of the conflict point; 
и 
intensity on the main and secondary roads, respectively, intersecting flows at a given conflict point,
– traffic
[auto/day];</p>
        <p>– coefficient of annual unevenness of movement; a factor of 25 has been introduced into
the formula to take into account the average number of working days in a month during which the road
load sharply exceeds the load on non-working days.</p>
      </sec>
      <sec id="sec-2-9">
        <title>Method for assessing the danger of a conflict point (traffic safety indicator) [11, 12]: 127</title>
        <p>where Vmax – is the maximum speed of movement in the area under consideration; Venter – the maximum
speed of vehicles entering the area under consideration.</p>
      </sec>
      <sec id="sec-2-10">
        <title>Method of accident rates [6]:</title>
        <p>where Ki – partial accident rates, determined from the analysis of statistical data on road accidents and
characterizing the impact on traffic safety of road and street parameters, infrastructure elements, traffic
intensity, coverage condition; i = [1,…,n]– the number of partial accident rates taken into account when
assessing traffic safety on roads or city streets of various categories.</p>
      </sec>
      <sec id="sec-2-11">
        <title>The third group includes methods for analyzing conflict situations: Method of "conflict situations" [5, 11]:</title>
        <p>
          the Gn index is calculated by the formula [
          <xref ref-type="bibr" rid="ref10">10</xref>
          ]:
passing through the intersection;  ∑
        </p>
        <p>– theoretically probable number of accidents at the
intersection in 1 year; n – is the number of conflict points at the intersection; M – is the intensity on the
main road, [auto/day]; N – the same for the secondary road.
where Ka – traffic safety indicator characterizing the number of accidents per 10 million vehicles</p>
      </sec>
      <sec id="sec-2-12">
        <title>Driver testing method. This method is based on comparing the deviation of the relative heart</title>
        <p>where</p>
        <p>– conflict index for the i-th conflict point.</p>
      </sec>
      <sec id="sec-2-13">
        <title>The next group of methods are methods based on the analysis of driver behavior:</title>
      </sec>
      <sec id="sec-2-14">
        <title>Analysis of deviations from the normal behavior of road users. The essence of this method lies in the analysis of the complex psychological interaction between the driver and the driving conditions [11-13]. rate from the normal value [13]:</title>
        <p>set of factors - technical, ergonomic and economic [13]:
where f – normal heart rate; f0 – heart rate when driving conditions change.</p>
      </sec>
      <sec id="sec-2-15">
        <title>The last group of methods are methods based on the definition of a complex road safety: The qualimetric method, first proposed by Professor Sidenko V.M., is based on determining a</title>
        <p>(9) 
(10) 
(11) 
(12) 
(13) 
(14) 
 а
 
3</p>
        <p>5 , 
∑   , </p>
        <p>⋅ 100, 





</p>
        <p>The results of the analysis of methods for determining road safety based on the research results of L </p>
        <sec id="sec-2-15-1">
          <title>Advantages </title>
        </sec>
        <sec id="sec-2-15-2">
          <title>This method makes it  comparable data in  the analysis of road  safety </title>
        </sec>
        <sec id="sec-2-15-3">
          <title>Reingold method </title>
        </sec>
        <sec id="sec-2-15-4">
          <title>Conflict point </title>
          <p>assessing the danger of 
a maneuver and the 
danger of a network 
section </p>
          <p>The complexity of 
accounting for a large 
amount of data due to 
the large amount of 
resources involved ‐ 
vehicle detectors, a 
laboratory car, etc. </p>
        </sec>
        <sec id="sec-2-15-5">
          <title>Allows to evaluate only </title>
          <p>one element (driver) 
does not correspond 
to the comprehensive 
assessment of road 
safety </p>
        </sec>
        <sec id="sec-2-15-6">
          <title>Labor intensity in the  selection of subjects </title>
        </sec>
        <sec id="sec-2-15-7">
          <title>Takes into account a  large number of  factors affecting road  safety </title>
        </sec>
        <sec id="sec-2-15-8">
          <title>Complex method </title>
          <p>settlements </p>
          <p>The accident rate is 
determined according 
to the indicators of the 
first group, which does 
not allow for a 
comprehensive </p>
          <p>assessment </p>
        </sec>
        <sec id="sec-2-15-9">
          <title>Speed limits according </title>
          <p>to traffic rules are not 
taken into account 
They do not allow to 
take into account </p>
          <p>changes in the 
parameters of traffic 
conditions and 
methods of organizing 
traffic </p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Simulation model of the experiment  </title>
      <sec id="sec-3-1">
        <title>As an example of a simulation model, we will consider the route network of the city and an experiment on the model of a computer experiment.</title>
      </sec>
      <sec id="sec-3-2">
        <title>The essence of the simulation experiment on the model is that minibuses of different types, with</title>
        <p>different speeds and different capacities, leaving at a given time interval on the line, move along routes
from one stopping point to another, stop in them, drop passengers and pick up people from stops. The
appearance of people at stops is also set according to a certain law, depending on the time of day.</p>
      </sec>
      <sec id="sec-3-3">
        <title>The model allows you to fix the number of route vehicles on each stretch (road section between</title>
        <p>stopping points) at each moment of time. The degree of congestion of the sections of the city's route
network on the model is determined by the color coloration. Since during the day the intensity of
passenger traffic changes, and the color of the sections of the city's route network in the model will also
change depending on the number of vehicles on the stretch at a given time.</p>
      </sec>
      <sec id="sec-3-4">
        <title>Thus, when conducting an experiment on the model, it is possible to determine the degree of congestion of the sections of the city's route network at each time period. In addition, the model allows you to change the initial parameters (bus schedule, type and number of vehicles on the route, routes themselves, bus speed, etc.) and analyze changes in the situation.</title>
        <p>The results
of the
experiment on the
simulation
model give grounds for developing
recommendations for optimizing the city's route network, for changing some routes for urban passenger
transport, in order to bypass the most congested sections. In addition, such an analysis is aimed at
improving the quality of the city's transport system by reducing the likelihood of accidents and
eliminating the downtime of route vehicles due to congestion and traffic jams, and also contributes to
the timely delivery of passengers.</p>
        <p>Analysis of the results of the simulation experiment indicates that one of the central avenues of the
city is overloaded, since the main part of the routes runs along this avenue. In order to study the
possibility of unloading the specified section on the model, the intervals of bus movement along one of
the routes were changed. It was found that this measure helps to reduce tension in the area under
consideration. In addition, the analysis of the filling of vehicles and queues at stops showed that even
with a reduction in the number of vehicles on the route, the transport needs of the population will be
fully satisfied (the indicated changes in the model parameters led to a slight increase in the waiting time
for a vehicle at a stop).</p>
      </sec>
      <sec id="sec-3-5">
        <title>So, to summarize, we can say that the proposed model has the following advantages:</title>
        <p> The model of a real transport system is built on the basis of an object-oriented approach
 Visualization of the model allows you to easily identify the most congested sections of the city's
transport network that require redistribution of traffic flows</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Conclusion  </title>
      <p>Methods based on the determination of indicators that characterize the security of road users are
used to assess the state of road safety. During the analysis of each method, the main positive and
negative aspects were identified. Based on the results of theoretical studies, a scientific concept for
reducing the number of road accidents was formulated, which is based on three conceptual provisions:
 On the representation of emergency situations in the form of a set of parameters and variables
of the "driver-car-road-environment" system
 It is necessary to determine the "weighting coefficients" of the parameters and variables of the
"driver-car-road-environment" system affecting the likelihood of an accident - it is necessary to
conduct statistical monitoring of the parameters of the objects of the system
"driver-car-roadenvironment" for adaptive traffic control in order to predict and accident prevention</p>
      <sec id="sec-4-1">
        <title>Application of the developed model and analysis of data obtained as a result of an optimization</title>
        <p>experiment based on its use will improve the quality of transport services for the population, will help
reduce tension on city roads and, as a result, reduce the number of accidents, and will also lead to an
improvement in the environmental situation in some districts of the city.</p>
      </sec>
      <sec id="sec-4-2">
        <title>In the future, this model can be improved by introducing into it information on the parameters of traffic flows of non-route vehicles (cars and other vehicles for individual use).</title>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. References </title>
      <p>[11] J. Barceló, E. Codina, J. Casas, J. L. Ferrer, D. García, Microscopic traffic simulation: A tool for
the design, analysis and evaluation of intelligent transport systems, Journal of intelligent and
robotic systems 41 (2005) 173-203. doi:10.1007/s10846-005-3808-2.
[12] J. De Cea, E. Fernández, Transit assignment for congested public transport systems: an equilibrium
model, Transportation science 27 (1993) 133-147.
[13] L. S. Abramova, V. V. Shirin, G. G. Ptitsa, Analysis of methods for determining indicators of road
safety, Bulletin of Kharkiv National Automobile and Road University 1 (2015) 118-123.</p>
    </sec>
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