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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>and Adaptive Human-Machine Networks Dialogue for in Organizing Automated</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Evgeniy Lavrov</string-name>
          <email>lavrova_olia@ukr.net</email>
          <email>prof_lavrov@hotmail.com</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Olga Siryk</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Igor Kirichenko</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Nataliia Barchenko</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Yana Chybiriak</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>National University of Civil Defence of Ukraine</institution>
          ,
          <addr-line>Kharkov</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Sumy State University</institution>
          ,
          <addr-line>Sumy</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Taras Shevchenko National University of Kyiv</institution>
          ,
          <addr-line>Kyiv</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <fpage>0000</fpage>
      <lpage>0002</lpage>
      <abstract>
        <p>In the article the authors substantiate the necessity for improvement of adaptation mechanisms in manmachine systems. They set a task of optimizing the man-machine interaction; describe the use of functional networks for ergonomic design tasks' solution. There are introduced the concepts of “controlled functional network” and “neural functional network”, the principle of multi-stage optimization of man-machine interaction. The offered method differs from the existing ones: by interconnecting functional and neural networks; by the possibility of multiple (in the course of work) adaptation (optimization) of the system "tailored to a man", which provides properties of adaptive man-machine interaction.</p>
      </abstract>
      <kwd-group>
        <kwd>Automated system</kwd>
        <kwd>information technology</kwd>
        <kwd>ergonomics</kwd>
        <kwd>human factor</kwd>
        <kwd>man-machine</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
    </sec>
    <sec id="sec-2">
      <title>2. Problem Statement</title>
      <p>In the context of smart manufacturing and the industrial revolution [1-3], unfortunately, the number of accidents
and threats to the environment and human health is increasing every year [1,4,5]. To completely eliminate a
person from the control loop requires very high costs. The reliability of control systems increasingly depends on
the "human factor"[6,7]. There are many problems related to ergonomics and the need to adapt automatics to the
peculiarities of a human-operator, depending on the state of the control object and environmental parameters [8,9].
Modern ergonomic research is devoted to the issues of working conditions, anthropometry, risk minimization,
modeling and optimization of activities, ergonomic examination and other important issues [10-14]. However, the
central problem is the problem of adapting the information system to the characteristics of a person[15,16] . Many
scientific works are devoted to solving adaptation problems [17-19]. P. Brusilovsky defined the basic principles of
constructing adaptive systems [20,21] (Figure. 1).</p>
      <p>
        2021 Copyright for this paper by its authors.
Changes in interface construction technologies require new solutions and taking into account new features of
human-machine interaction (Fig. 2) –“traditional human-machine interaction includes only human perception at
the output of the system (
        <xref ref-type="bibr" rid="ref2">1</xref>
        ), modern models should include human characteristics and functional state (
        <xref ref-type="bibr" rid="ref3">2</xref>
        ), as well
as communication with other operators (
        <xref ref-type="bibr" rid="ref1 ref4">3</xref>
        )” [22].
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. Results 3.1. Principle of description and assessment structures of human-machine dialogue</title>
      <p>Simulation of elementary actions of operators and automatics is carried out using typical functional units
(TFU). The most common of these are the "work operation" with the designation "rectangle", "control operation"
with the designation "circle", and "alternative operation" with the designation "rectangle with several outputs". A
complete description of TFU models is given in [28, 29]. The FN that describes the algorithmic activity of the
human operator is built from those TFU. Examples of models (accuracy and run-time estimation) for some typical
functional structures (TFS) are shown in Table 1.
Models for calculating reliability and dialogue time (fragment)</p>
      <p>Content TFS diagram Index Formula for computation
of typical
functional
structure</p>
      <p>1.Consiste
nt
implementati
on of
operations</p>
      <p>2.Cyclic
functional
structure "An
operation
with action
control
without
restrictions
on the
number of
cycles"</p>
      <p>3.</p>
      <p>Functional
structure
"An
operation
with action
control and
without
restrictions
on the
number of
cycles"</p>
      <sec id="sec-3-1">
        <title>Probability</title>
        <p>of error-free
operation</p>
        <p>Expectation
value of the
time of
operation</p>
        <p>Dispersion
of the time of
operation</p>
        <p>Probability
of error-free
operation</p>
        <p>Expectation
value of the
time of
operation</p>
        <p>Dispersion
of the time of
operation</p>
      </sec>
      <sec id="sec-3-2">
        <title>Expectation</title>
        <p>value of the
time of
operation</p>
        <p>Expectation
value of the
time of
operation</p>
        <p>Dispersion
of the time of
operation
* - Subscripts in formulas correspond to the type (operating course – p; course of control – k) and / or to the
number of TFU.</p>
        <p>Here:</p>
        <p>B1 - the probability of error-free handling operation;
K11 - the probability of recognizing the correct operations performing;
K00 - the probability of detecting any errors;
M(T)- mathematical expectation of the operational run-time;
D(T) - the variance of the operational run-time.</p>
        <p>These models are used to evaluate the entire FN that describes the man-machine interaction algorithm. The
reliability and runtime estimation is carried out by the method of “reduction” FN [30-31].</p>
        <p>For the evaluation of human-computer interaction has developed special software systems [32-33].
n
В = i=1 Bi</p>
        <p>n
M (T ) =  M (Ti )
i=1
n
D(T ) =  D(Ti )</p>
        <p>i=1
B = B1 * K11 *</p>
        <p>1
1− (B1 * K10 + B0 * K 00 )
M (T ) = (M (Tр ) + M (Tк )) * M (L)
M (L ) = 1− (B1 * K 101+ B 0 * K 00 )
D(T ) = D(T ) * (M (Tp ) + M (Tк ))2 +
(D(Tp ) + D(Tк ))* M (L)</p>
        <p>B1 * K 10 + B0 * K 00
D(L ) = (1− (B1 * K 10 + B0 * K 00 ))2</p>
        <p>B = B11 * K 11 +
(B10 * K 00 + B11 * K 10 ) * B21
M (T ) = M (Tр1) + M (Tк ) +
(B10 * K 00 + B11 * K10) * M (Tр2 )
D(T ) = D(Tр1) + D(Tк ) +
(B10 * K 00 + B11 * K10) * D(Tр2 ) +
(B10 * K 00 + B11 * K10) *
(B11 * K11 + B10 * K 01) * M 2 (Tp2)</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Analysis of multivariance process of man-machine interaction</title>
      <p>Man-machine interaction consists of a sequence of steps. At each step, there are many possible ways both to
implement the main technologically necessary operations and to monitor and correct errors[34-39]. A multiplicity
of options (excerpt) is shown in Figure 3.</p>
    </sec>
    <sec id="sec-5">
      <title>Formulation of the optimization problem of man - machine interaction</title>
      <p>The problem can be formulated as follows:
fk ( X ) → max
 ( X ) → max
P{T ( X )  To} </p>
      <p>
        X  X o
Where
• X0 - a set of alternative options for the algorithm of activities;
• β(X) – the probability of error-free implementation of the algorithm of activities;
• T – random variable time implementation algorithm of activities;
• T0 – scheduled time of performance;
• α– minimum allowable probability of timely completion;
• fk(X) - the degree of functional comfort,
X– a vector characterizing the alternative structure of human-computer interaction
(
        <xref ref-type="bibr" rid="ref2">1</xref>
        )
(
        <xref ref-type="bibr" rid="ref3">2</xref>
        )
(
        <xref ref-type="bibr" rid="ref1 ref4">3</xref>
        )
(
        <xref ref-type="bibr" rid="ref5">4</xref>
        )
3.4.
      </p>
    </sec>
    <sec id="sec-6">
      <title>The method of controlled functional network</title>
      <p>To implement procedures of the FN “control”, we offer the idea of interconnecting neural and functional
networks for modeling human-computer interaction, which the authors proposed in their work [35,40] before.
Probabilistic characteristics of human work elements, which are used as input data to the models of the operation
algorithms, can be represented as neural models, displaying these characteristics depending on various factors.
3.4.1. The general scheme. The principle of integration of functional and neural
networks</p>
      <p>According to this approach and taking into account the changing characteristics of the human-operator and the
environment, a neural network (NN) D-network is created for each element of the functional network (Figure 4).
The purpose of D-network is to provide FN with relevant source data. D-network is constructed for each case
according to the requirements of the designer.</p>
      <p>The following characteristics of the human-operator [40] may be input parameters for NN:
o training;
o type of nervous system;
o functional state;
o motivation;
o emotional stress level and others.</p>
      <p>Output parameters of NN include:
o the probability of error-free operation (algorithm);
o expectation time of the operation (algorithm);
o intensity of operator’s activity and others.</p>
      <p>Let us consider the example of a model, constructed for the problem of fore-casting the results of a
computeraided instruction system. Suppose, for example, one must take into account the individual characteristics of a
person and to adapt the system, at each step, to him.</p>
      <p>There are, for example, such options (alternatives) of learning algorithm:
a) The sequence of operations without control.
b) The sequence of operations controlled after each operation.
c) The sequence of operations with the final control in the end.
d) The sequence of operations with functional control.</p>
      <p>We need to select the most suitable mode of learning, taking into account the individual characteristics of the
trainee, his goals and the importance of the criteria To solve this problem, we form and train the A-network. Let
A-network input be data from the model of the human-operator, then the network output falls into the
recommended mode.</p>
      <p>Parameters of a man and an environment are not permanent and dynamically change over time. Moreover, the
selected mode of interaction cannot be sufficiently effective in this case. Therefore, there is a need for periodic
assessment of the situation and making adjustments in the process of interaction. Under adjustments we
understand algorithm change interaction. To do this, we add point adaptation (Figure 2) into the process to
provide control at each point and, if necessary- the reconstruction of the network.</p>
      <p>Depending on the availability of input data, a decision-making at points of adaptation may be carried
out, using:
neural network (А-network) [35,40];
models of fuzzy logic [35,40];
mathematical programming models used in functional networks [31,33].</p>
      <p>
        Thus, the problem is reduced to the multiple implementation of the optimization problem of (
        <xref ref-type="bibr" rid="ref2">1</xref>
        ) - (
        <xref ref-type="bibr" rid="ref5">4</xref>
        )
3.5.
      </p>
    </sec>
    <sec id="sec-7">
      <title>Testing. Computer system for adaptation of man-machine interaction.</title>
      <p>The complex of models has been tested in the technology of intelligent agents for e-learning [35, 40]
(figure 5).</p>
    </sec>
    <sec id="sec-8">
      <title>4. Conclusion</title>
      <p>Man-machine interaction in discrete automated systems can be well described using models, based on
functional networks. Adaptive changes in man-machine interaction can be reduced to the problem of
step-by-step choosing the optimal fragment of the functional network. The method adapts the system
to the peculiarities of the human-operator and environmental parameters. The combined model, which
consists of a neural network for forming initial data, a functional network for modeling a dialogue and
a neural network for managing the dialogue process provides a higher level of adaptation to a human
operator than the known models built on the basis of unmanaged functional networks. The computer
program was used in the design process for systems of various purposes and its effectiveness was
shown. Experimental studies have shown the constructiveness of the developed method.</p>
      <p>Models will be useful for automated control in industry, agriculture and e-learning</p>
    </sec>
    <sec id="sec-9">
      <title>5. Acknowledgements</title>
      <p>The authors dedicate this article to the memory of their teacher, professor Anatoly Ilyich Gubinsky
(1931-1990), who first formulated the ideas that formed the basis of the study.</p>
    </sec>
    <sec id="sec-10">
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</article>