<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Archiving and Interchange DTD v1.0 20120330//EN" "JATS-archivearticle1.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Simulation modeling in methods and designs for detecting ice or snow buildup on control surface in MATLAB/SIMULINK dynamic modeling environment</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Viktor A. Barausov</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Vladimir P. Bubnov</string-name>
          <email>bubnov1950@yandex.ru</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Shokhrukh Kh. Sultonov</string-name>
          <email>sultonovsh@yandex.ru</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Emperor Alexander I St. Petersburg State Transport University</institution>
          ,
          <addr-line>St. Petersburg, 190031</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>KTN LLC</institution>
          ,
          <addr-line>Saint Petersburg, 196006</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <fpage>136</fpage>
      <lpage>141</lpage>
      <abstract>
        <p>Programming languages and hardware are reviewed in terms of their application for purposes of simulation modeling. The algorithm for electric heating system design is offered. Development and testing procedures for electric heating system solutions use MATLAB/SIMULINK dynamic environment.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>In the process of implementing supply chain
management (SCM) in practice, managers have
faced with the problem of adapting to customers’
unplanned orders and individual technological
and economic requirements. How and with what
methods and technologies is it possible to assess
the reliability and stability of the supply chain in
the event of Maintenance of railway switches in
snow and ice buildup-conductive weather
conditions is labor- and time-consuming
operation incurring substantial maintenance
costs.</p>
      <p>Switch operation maintenance during winter
season requires either substantial regular physical
effort, or high energy-consumption in all
currently used mechanized cleaning techniques,
it also results in additional strict requirements to
accident prevention measures and arrangements
and many more.</p>
      <p>Innovative and improved methods and designs
for mechanized snow and icing removal in
maintenance of railway switches operating
conditions during winter season have always
been and still are regarded a primary necessity in
railway industry with effective and efficient
solutions to be developed.</p>
      <p>Currently railways operate multiple methods
for removing snow and ice buildup on railway
switches – at least in their moving parts –
depending on specific weather conditions. Often
optimal solution is the one combining maximum
compliance with the requirements for railway
switches operation standards and low
maintenance costs under existing requirements in
the fields of industrial safety and environmental
protection.</p>
      <p>To prevent cold-weather-conditioned failures of
remotely-controlled railway switches and other
mechanical devices railways today make
extensive use of various designs and devices as
local heating arrangements. Classification of
heating and snow and icing-removal methods is
shown in Fig.1.</p>
      <p>Heating
methods</p>
      <p>Steam Gas Electric mHaetaetriinagls
Figure 1: Classification of heating and snow and
icing-removal methods for railway switches</p>
      <p>
        Prevention of ice-formation and provisions
for standard operation of moving parts in the
railway switch require application of various
means and methods for heating switch parts with
those using electric heating most widely applied
since these are most universal, relatively
inexpensive and unsophisticated in operation and
maintenance [
        <xref ref-type="bibr" rid="ref1 ref2 ref3 ref4">1-4</xref>
        ].
      </p>
      <p>
        Analysis of control systems for railway
switches electric heating with simulation
modeling procedures allows for development and
testing of highly complex systems. In such case
simulation procedure goes beyond the procedure
of functional model design. A further important
stage is, having performed analysis of system
designs for railway switch heating, to determine
possible improvements in order to increase the
heating system performance [
        <xref ref-type="bibr" rid="ref4 ref5">4, 5</xref>
        ].
      </p>
      <p>
        Currently for removal of snow and ice build up
on railway switches through heating Russian
railways typically use SEIT-04M system which
is made of the following components: several
TEHs mounted on frame rails, outside air
temperature sensor, switch, precipitation
detecting sensor, comparing element with the
outside air temperature sensor connected to the
comparing element input slot, the system has a
single rail temperature sensor mounted on frame
rail and connected to the comparing element
input port [
        <xref ref-type="bibr" rid="ref3 ref5">3, 5</xref>
        ].
      </p>
      <p>Development of automated control systems for
switching between heating systems operation
modes requires more advanced and efficient
methods and designs for railway switches
heating applications. The systems currently
employed are considered to possess a number of
drawbacks:</p>
      <p>- no account is made of the heating system
dynamic parameters in control and disturbance
channels. Since the system controlled is
characterized by a sufficient degree of inertia the
system adjustment to changes in weather
conditions is delayed;</p>
      <p>- no information is offered by the system
supplier as to the type (in connection to ‘input
signal comparison’) of the electronic data
processing (EDP) device; the terms ‘specific
algorithm’ and ‘specialized software’ are given
no explanation and description. Under such
circumstances, the EDP device design can be
suggested to be similar to an automatic controller
of poorer quality and fewer options as compared
to modern EDP devices – logic-based EDPs
performing logic operations/functions with input
data following the principles of algebra of logic
and generating output signals relevant for the
actual function values.</p>
      <p>
        Solutions to these problems and development
of effective system of control for adjustment of
the amount of heat supplied to the element
heated electrically require application of
simulation modeling for [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]:
      </p>
      <p> solutions in methods and technical designs
for detection of snow or ice buildup on control
surface based on energy-efficient technologies
for maintenance of railway switches operation;
 testing of the algorithms obtained for
datacollection and control system designed for
prevention of failures and emergency operation
mode in railway switches.
2. Block diagram of control
surface snow and icing detection
system control signal functions</p>
      <p>
        To provide for technical solutions in terms of
compliance with the above-mentioned
requirements the design shown in Fig.2 can be
used given it was obtained by analysis of railway
switch heating system operation as a control
object [
        <xref ref-type="bibr" rid="ref4 ref5">4, 5</xref>
        ].
      </p>
      <p>fpr</p>
      <p>preWdicetaitnhgerunit
Logic unit for
electronic data
processing
control
u</p>
      <p>Control
surface
Control signal
regulator</p>
      <p>Outside air
temperature
sensor</p>
      <p>Precipitation</p>
      <p>sensor
ɛ
f</p>
      <p>Filtering unit
sHurefaatceedtreamilpceornattruorel tp
sensor</p>
      <p>tpz</p>
      <p>Adder for calculation of
deviation value as compared to
pre-set rail temperature value
Where f – digitized disturbing effect data; fpr –
predicted disturbance, u – control signal (decision
rule), tpz – pre-set heated rail temperature value, ɛ –
deviation value between effective and pre-set heated
rail temperature values (divergence).</p>
      <p>Outside air temperature and precipitation
values measured by sensors 1 and 2 pass filtering
unit 3 for weather conditions prediction, the
lower value is transferred to weather prediction
unit 4 where the predicted outside temperature
value within the weather prediction period is
calculated generating precipitation possibility
rate. Operation of the given open loop serves to
detect icing probability using minimum outside
air temperature value predicted.</p>
      <p>Closed loop operation can be described in the
following manner: Signal from sensor 5
measuring heated rail control surface temperature
value is transferred to adder 6 where the heated
rail control surface temperature value is
compared to the pre-set value. The deviation
value is transferred to control signal unit 7 and
further to electronic data processing (EDP) unit 8
to adjust the value of output control signal of
temperature prediction unit 4 for the heated rail.
This arrangement allows maintaining the
required temperature in heated frame rails
depending on the outside air temperature and
humidity parameters.
3. Design and procedure for snow
and icing detection on control
surface</p>
      <p>Effective operation of a system designed for
preventive adjustment of electric heating
parameters require identification of designs and
procedures for detecting snow or ice buildup on
control surface.</p>
      <p>
        The control surface is connected to sensors
with two sensor elements carrying
heatconducting plates with outer working surfaces to
detect outside air conditions, in-built plates
temperature sensors and heating elements for
plates inner surfaces (TEHs) [
        <xref ref-type="bibr" rid="ref1 ref2 ref3 ref6">1-3, 6</xref>
        ].
      </p>
      <p>The method of snow or ice buildup detection
offered requires identification and elaboration of
algorithm structure, following this stage a
simulation model for data collection and control
program for a system to detect snow or ice
buildup on railway switches is to be developed to
test and improve the efficiency of control
instructions generated.</p>
      <p>In its operation the control program is to
ensure the following functions:
- measuring the surface temperature value;
- measuring the outside air temperature
value;</p>
      <p>- input and processing of technological
parameters-related data;</p>
      <p>- reading pre-set values from secure digital
(SD) memory card;</p>
      <p>- storing the data inputs in SD memory
card archive during a specified period;</p>
      <p>- evaluation of the current condition as a
reference to safe operation standards and, if
required, generation of control signals for
activation of heating elements to prevent
deviation in parameter values within the railway
switch electric heating system beyond the pre-set
range;</p>
      <p>- informing maintenance personnel of the
emergencies detected, added by instructions and
tips offered to automated workplace operator;
- visualization of the technological process
parameters, of the recorded and archived data in
easy-to-understand manner;</p>
      <p>- program flexibility allowing for
adjustment of operation algorithms in case it is
required by the emergency condition parameters
updates based on observed operation conditions.</p>
      <p>
        The algorithm development is based on the
architecture in the below block diagram offered
for generation and adjustment of control signals
in the system of ice or snow buildup detection on
control surface (Fig.3) [
        <xref ref-type="bibr" rid="ref7 ref8">7, 8</xref>
        ].
      </p>
      <p>The device operation starts with initializing
the micro-controller, input/output ports, setup of
interruption handler. Further the system checks
for SD memory card to ensure location for
reading the stored data to measure temperature
values on control surface in the heating system.
Further the system waits for initialization of
measurement procedure which is conditioned on
the system signal generated. This signal can then
be sent to other units or devices by, for instance,
pressing the button. In checking for memory card
procedure the system tries to access files on the
SD memory card via API for Micro SD. The
response is used to check for the file into which
the measurements are written. In case no file is
found, it is created. This procedure is followed
by system activating power supply to sensors and
reading the measurements during the interval set
by the user. The algorithm of measuring values
for preventive adjustment is shown in Fig.4
[68].</p>
      <p>
        A more detailed description of the algorithm is
provided further, since this algorithm is
fundamental to the procedure offered in the
present paper for precipitation icing detection
which is used to maintain the control surface
temperature parameters within the range set [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ].
      </p>
      <p>The actual values of outside air temperature
and precipitation measured by sensors are
filtered in the weather condition prediction
filtering unit in the immediate proximity of the
control surface, the lowest temperature value
obtained is then transferred to weather condition
predicting unit where calculation of predicted
outside air temperature values during the pre-set
time interval is performed generating
precipitation possibility rate.</p>
      <p>The measuring procedure is performed in the
following manner: signals from the control
surface temperature sensors on the heated rail are
transferred to respective adders; there they are
compared to the pre-set temperature parameters
for the heated rail given. Deviation values are
transferred to regulators inputs and further to
comparison-performing EDP unit, and
adjustment of control signal parameters at the
weather conditions predicting unit for the heated
rail given is done. Such arrangement allows for
maintaining optimum temperature for heating the
frame rails conditioned on the outside air
temperature and humidity parameters.</p>
      <p>
        The architecture of the data collection and
control system is designed in the manner
allowing for a time lag Δt before activation of the
second sensor heating element after activation of
the first sensor heating element [
        <xref ref-type="bibr" rid="ref6 ref7 ref8">6-8</xref>
        ].
      </p>
      <p>The algorithm offered is a combination of
instructions and control algorithms for
preventing possible emergency conditions
reduced to the form which makes them
applicable for designing and development of
precipitation detection software solutions.
4. Development of simulation
model for methods and procedures
of snow or icing detection on control
surface systems</p>
      <p>
        Evaluation of systems to maintain required
temperature parameters of the railway switch
control surface in terms of their efficiency and
performance can be done without a necessity to
use expensive and sophisticated equipment.
Currently, for the purposes of testing and
experimenting applied research relies extensively
on computer simulation modeling. A powerful
tool for testing and analysis of simulated
preventive adjustment control systems in their
application for railway switch electric heating
systems is SIMULINK, a general-purpose
simulation environment. Simulation, in case of
the applications discussed, allows models
developed in this environment to be tested and
verified for their performance, in terms of
traditional simulation modeling. Partial
presentation of results obtained in simulation to
test system operation – detection of precipitation
generating icing conditions on control surface –
has been made in [
        <xref ref-type="bibr" rid="ref10 ref8 ref9">8-10</xref>
        ], simulation was also
performed with MATLAB-based SIMULINK
package.
      </p>
      <p>Evaluation of the algorithm for measuring
snow and ice buildup presence on control surface
required development and testing of a computer
simulation model in MATLAB environment
which allows analysis of thermal processes
dynamics in ‘heated object’ system.</p>
      <p>
        Simulation models are often built with
SIMULINK visual modeling tool, an extension
of MATLAB package, designed for simulation of
dynamic processes and systems in order to
examine their operation and performance using
graphic blocks [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ].
      </p>
      <p>Simulation model is characterized by features
of continuous and discrete processes – this
condition allows its application for studies of
dynamic systems when the model sore points are
tested and analyzed for functional dynamics.
Another essential feature is that such model can
be used in models requiring analysis of process
dynamics during certain intervals.</p>
      <p>Simulation process includes examination of
method and device tested for effectiveness in
detecting snow or ice buildup on control surface
in condition of heating element activation.</p>
      <p>Understanding of the operational design of
electric heating system simulation model tested
requires detailed description of its algorithm.</p>
      <p>Analysis of electric heating control system
with simulation modeling provides an
opportunity to test and improve even highly
complex systems. In such case the study of
maintenance control system is seldom limited to
simply modeling processes in it. An extremely
important feature of such simulation modeling is
the opportunity to introduce improvements and
test their effects.</p>
      <p>
        Calculation and identification of principal
dynamic parameters of the electric heating
process is performed using simulation model
developed in MATLAB package extended with
SIMULINK dynamic simulation module [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ].
Simulation model discussed is based on the
architecture shown in block diagram in Fig.2.
The generalized block diagram of the electric
heating control system model architecture is
shown in Fig.5.
      </p>
      <p>The diagram for electric heating system
simulation model designed for heating rail as
control object is shown in Fig.6 as ‘control
object’ block, and given equation (1,2) can be
presented as:</p>
      <p>The graph visualizing operation of
precipitation detection method model given
precipitation absent is shown in Fig.8.</p>
      <p>Given such conditions the control system
provides adjusting response to both deviations
from ideal mode already detected and conditions
in which the tendency for further deviation has
been just identified. To compensate for residual
standard errors and to provide for stability of the
control system being synthesized the object is
closed with feedback of the actual output value
compared to the pre-set value. This signal is
transferred to regulator unit input which, given
any deviation value, adjusts control signals
generated.</p>
    </sec>
  </body>
  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation>
          [1]
          <string-name>
            <given-names>V.A.</given-names>
            <surname>Barausov</surname>
          </string-name>
          ,
          <source>Electrical Heating Device of Track Switches Type SEIT-04 [Ustroystvo elektroobogreva strelochnykh perevodov tipa SEIT-04], patent RU № 2582627, published at April</source>
          <volume>27</volume>
          , (
          <year>2016</year>
          )18 p.
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation>
          [2]
          <string-name>
            <given-names>V.A.</given-names>
            <surname>Barausov</surname>
          </string-name>
          ,
          <string-name>
            <given-names>V.P.</given-names>
            <surname>Bubnov</surname>
          </string-name>
          , Sh.
          <string-name>
            <surname>Kh</surname>
          </string-name>
          . Sultonov,
          <article-title>Control Software for Surface Ice and</article-title>
          Snow Detecting Device,
          <source>Proceedings of Models and Methods of Information Syste ms Research Workshop</source>
          <year>2019</year>
          (MMISR
          <year>2019</year>
          ),
          <source>CEUR Workshop Proceedings</source>
          , Vol.
          <volume>2556</volume>
          , (
          <year>2020</year>
          )
          <fpage>75</fpage>
          -
          <lpage>79</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation>
          [3]
          <string-name>
            <surname>Sh</surname>
          </string-name>
          .
          <string-name>
            <surname>Sultonov</surname>
          </string-name>
          ,
          <article-title>Algorithm of operation of the control system for electric heating of turnouts based on energy-saving technologies [Algoritm raboty sistemy upravleniya elektroobogrevom strelochnykh perevodov na osnove energosberegayushchikh tekhnologiy]</article-title>
          , in: Sh.
          <string-name>
            <surname>Kh</surname>
            . Sultonov,
            <given-names>V.P.</given-names>
          </string-name>
          <string-name>
            <surname>Bubnov</surname>
          </string-name>
          ,
          <article-title>Proceedings of the LXXX All-Russian Scientific</article-title>
          and Technical Conference of Students, Postgraduates and Young Scientists 'Transport: Problems, Ideas, Prospects'.
          <source>SPb.: PGUPS</source>
          ,
          <year>2020</year>
          , pp.
          <fpage>74</fpage>
          -
          <lpage>77</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation>
          [4]
          <string-name>
            <surname>Sh</surname>
          </string-name>
          .
          <string-name>
            <surname>Sultonov</surname>
          </string-name>
          ,
          <article-title>Conclusions on the feasibility of using the electrical heating system from the point of view of the technical and economic efficiency [Vyvody o tselesoobraznosti primeneniya s tochki zreniya tekhniko-ekonomicheskoy effektivnosti sistemy elektroobogreva], in: Materials of the X International Scientific</article-title>
          and Practical Conference 'Problems of Transport Safety' (Gomel, November
          <volume>26</volume>
          -
          <issue>27</issue>
          ,
          <year>2020</year>
          ):
          <article-title>at 5 o'clock, Part 4</article-title>
          . - Gomel: BelGUT,
          <year>2020</year>
          , pp.
          <fpage>57</fpage>
          -
          <lpage>59</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation>
          [5]
          <string-name>
            <surname>Sh</surname>
          </string-name>
          .
          <string-name>
            <surname>Sultonov</surname>
          </string-name>
          ,
          <article-title>The structure of the control program and the method for detecting icing on the surface of the turnouts [Struktura upravlyayushchey programmy i sposob dlya obnaruzheniya obledeneniya na poverkhnosti strelochnykh perevodov]</article-title>
          , in: Sh.
          <string-name>
            <surname>Kh</surname>
            . Sultonov,
            <given-names>N.А.</given-names>
          </string-name>
          <string-name>
            <surname>Kritsky</surname>
            ,
            <given-names>Z.R.</given-names>
          </string-name>
          <string-name>
            <surname>Sultonova</surname>
          </string-name>
          ,
          <article-title>Intelligent technologies in transport</article-title>
          . №
          <volume>2</volume>
          (
          <issue>22</issue>
          ). (
          <year>2020</year>
          )
          <fpage>59</fpage>
          -
          <lpage>64</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation>
          [6]
          <string-name>
            <given-names>S.G.</given-names>
            <surname>Selyanin</surname>
          </string-name>
          ,
          <article-title>Method and device for detecting icing or snow on a controlled surface [Sposob i ustroystvo obnaruzheniya obledeneniya ili snega na kontroliruyemoy poverkhnosti]</article-title>
          ,
          <string-name>
            <given-names>V.A.</given-names>
            <surname>Barausov</surname>
          </string-name>
          ,
          <string-name>
            <given-names>P.V.</given-names>
            <surname>Grigoriev</surname>
          </string-name>
          ,
          <source>patent RU № 2685631 published at April</source>
          <volume>22</volume>
          , (
          <year>2019</year>
          ) 17 p.
        </mixed-citation>
      </ref>
      <ref id="ref7">
        <mixed-citation>
          [7]
          <string-name>
            <surname>Sh</surname>
          </string-name>
          .
          <string-name>
            <surname>Sultonov</surname>
          </string-name>
          ,
          <article-title>Structural diagram of the formation of control actions of the icing detection system [Strukturnaya skhema formirovaniya upravlyayushchikh vozdeystviy sistemy obnaruzheniya obledeneniya]</article-title>
          , in: Sh.
          <string-name>
            <surname>Kh</surname>
            . Sultonov,
            <given-names>V.P.</given-names>
          </string-name>
          <string-name>
            <surname>Bubnov</surname>
            ,
            <given-names>D.V.</given-names>
          </string-name>
          <string-name>
            <surname>Barausov</surname>
          </string-name>
          ,
          <article-title>Collection of abstracts of the national scientific and technical conference 'Prospects for the future in the educational process' as part of the annual festival 'week of science - 2020'</article-title>
          . (
          <string-name>
            <surname>St. Petersburg</surname>
          </string-name>
          , April
          <volume>21</volume>
          ). -
          <fpage>SPb</fpage>
          .: PGUPS,
          <year>2020</year>
          , pp.
          <fpage>183</fpage>
          -
          <lpage>186</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref8">
        <mixed-citation>
          [8]
          <string-name>
            <given-names>V.</given-names>
            <surname>Barausov</surname>
          </string-name>
          .
          <article-title>Program for a device for detecting icing or snow on a controlled surface [Programma dlya ustroystva obnaruzheniya obledeneniya ili snega na kontroliruyemoy poverkhnosti], Certificate of state registration of a computer program №2020619431 dated 17</article-title>
          .08.2020
          <string-name>
            <given-names>Russian</given-names>
            <surname>Federation</surname>
          </string-name>
          ,
          <string-name>
            <given-names>V.A.</given-names>
            <surname>Barausov</surname>
          </string-name>
          ,
          <string-name>
            <given-names>P.V.</given-names>
            <surname>Grigoriev</surname>
          </string-name>
          , Sh.
          <string-name>
            <surname>Kh</surname>
          </string-name>
          . Sultonov, app.
          <source>No. 2020612292 dated 02.21</source>
          .
          <year>2020</year>
          . publ.
          <source>; bul. №8</source>
          . - 1 p.
          <source>July</source>
          <year>2020</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref9">
        <mixed-citation>
          [9]
          <string-name>
            <given-names>Ing</given-names>
            <surname>Bey</surname>
          </string-name>
          , Dzhifeng Ksu,
          <article-title>Interaction of Matlab with ANSI C, Visual C ++, Visual Basic i Java, [Interaction of MATLAB with ANSI C, Visual C ++</article-title>
          ,
          <string-name>
            <given-names>Visual</given-names>
            <surname>Basic</surname>
          </string-name>
          and Java] M.:
          <string-name>
            <surname>Williams</surname>
          </string-name>
          ,
          <year>207p</year>
          .
          <year>2005</year>
          .
        </mixed-citation>
      </ref>
      <ref id="ref10">
        <mixed-citation>
          [10]
          <string-name>
            <surname>A.D. Khomonenko</surname>
            ,
            <given-names>A.G.</given-names>
          </string-name>
          <string-name>
            <surname>Basyrov</surname>
            ,
            <given-names>V.P.</given-names>
          </string-name>
          <string-name>
            <surname>Bubnov</surname>
          </string-name>
          [et al.
          <source>]. Models and methods of research of information systems. Edited by A. D. Khomonenko. St. Petersburg: Publishing</source>
          <volume>9</volume>
          .
          <string-name>
            <surname>Khomonenko</surname>
            <given-names>A. D.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Bubnov</surname>
            <given-names>V. P.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Zabrodin</surname>
            <given-names>A.V.</given-names>
          </string-name>
          , et al.
          <article-title>Models and methods of research of information systems: Monography [Modeli i metody issledovaniya infor-matsionnykh system: Monografiya]</article-title>
          ,
          <source>St. Petersburg, LAN Publishing House</source>
          ,
          <year>2019</year>
          , 204 p.
          <article-title>House 'DOE'</article-title>
          .
          <string-name>
            <surname>Russia</surname>
          </string-name>
          . -
          <volume>204</volume>
          p.
          <year>2019</year>
          .
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>