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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Deterministic and Stochastic Models of Decision Making in Air Navigation Socio-Technical System</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>National Aviation University</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Komarova av.</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Ukraine shmelova@ukr.net</string-name>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Centro Studi Trasporto Aereo Sicurezza &amp; Ambiente (CSTASA)</institution>
          ,
          <country country="IT">Italy</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Flight Academy of the National Aviation University</institution>
          ,
          <addr-line>Dobrovolskogo Street, 1, 25005, Kropivnitsky</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Sapienza University of Rome</institution>
          ,
          <country country="IT">Italy</country>
        </aff>
      </contrib-group>
      <fpage>0000</fpage>
      <lpage>0002</lpage>
      <abstract>
        <p>The conceptual model of System for control and forecasting the emergency situations development that taking into account the influence on decision making by Air Navigation Socio-Technical System human-operator of professional and non-professional factors has obtained. Optimization models of decision making such as deterministic model, stochastic model (under risk and uncertainty), neural network models have presented. Behavioral models appropriate using in Decision Support Systems for timely predicting of humanoperator actions in the emergencies.</p>
      </abstract>
      <kwd-group>
        <kwd>decision making</kwd>
        <kwd>deterministic and stochastic models</kwd>
        <kwd>humanoperator</kwd>
        <kwd>neural network</kwd>
        <kwd>professional and non-professional factors</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        At present, one of the main strategic problems of humanity on the path to
sustainable development is the safety and reliability of technogenous production, which is a
complex system of interconnected technical, economic and social objects; has a
multilevel hierarchical structure and characterized by a high risk [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Emergencies,
catastrophes, accidents in hydraulic engineering, chemical and military industries, gas and
oil pipelines, nuclear power plants, as well as in transport are frequent and
commonplace Air Navigation System (ANS), in which there is a close interaction between
man and technological components, also evolved towards integrated Socio-Technical
Systems (STS) [
        <xref ref-type="bibr" rid="ref1 ref2">1, 2</xref>
        ]. Socio-technical systems, as a rule, have two common features:
the presence of hazardous activities and the use of high technology.
      </p>
      <p>
        It is believed that aviation is the safest type of mass transportation and one of the
safest socio-technical production systems in the history of humanity. For a century,
aviation has gone a long way in the field of safety of flights from an unstable system
to the first "ultra-safe" system in the history of transport, that is, a system in which the
number of catastrophic failures in the field of safety is less than one million
production cycles [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ].
      </p>
      <p>
        Over the year 2017, the Aviation Safety Network [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] has recorded a total of 10
fatal aircraft accidents, resulting in 44 occupant fatalities and 35 persons on the ground.
This makes 2017 the safest year ever, both by the number of fatal accidents as well as
in terms of fatalities. In 2016 Aviation Safety Network has recorded 16 accidents and
303 lives lost. Five accidents involved cargo flights, five were passenger flights.
Given the expected worldwide air traffic of about 36,8 million flights, the accident rate is
one fatal passenger flight accident per 7,36 million flights. Since 1997, the average
number of aircraft accidents has shown a steady and persistent decline due to the
continuing flight safety-driven efforts by international aviation organisations.
      </p>
      <p>
        Elimination of accidents remains the key point for all kinds of aviation activity.
But it is impossible for aviation systems to be completely free of hazardous factors
and associated with them risks. Neither human activity nor human designed systems
are completely free of operational errors and its consequences [
        <xref ref-type="bibr" rid="ref3 ref5">3, 5</xref>
        ]. Flight safety is a
dynamical parameter of aviation system. Thus, risk factors should continuously
mitigate. It is important to note that the adoption of indicators for the effectiveness of
safety of flights is often influenced by internal and international standards, as well as
cultural features [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. When the risk factors and operational errors are reasonably
monitored, flight safety can be managed [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ].
      </p>
      <p>
        Statistics over the past decades indicate the dominant role of the human factor in
the total number of aviation accidents, which is about 80% [
        <xref ref-type="bibr" rid="ref5 ref7">5, 7</xref>
        ]. Therefore,
researches of the human factor effect on flight safety remain relevant.
      </p>
      <p>
        The circular of ICAO presents the safety cases for cultural interfaces in aviation
safety with reference to established main conceptual safety models: SHEL model,
Reason’s model of latent conditions, Threat and Error Management (TEM) model and
other human factor's models [
        <xref ref-type="bibr" rid="ref1 ref3">1, 3</xref>
        ]. There are four stages of the evolution of the
human factor's models (from 1972 to present time) [
        <xref ref-type="bibr" rid="ref8 ref9">8, 9</xref>
        ] associated with the appearance
of new system components and the diagnosis of human-operator (H-O) errors:
1. Professional skills of H-O / Interaction of H-Os / Definitional of H-O’s errors.
2. Cooperation in team / Interaction of H-Os in team / Error detection.
3. Influence of Culture / Safety / Error prevention.
4. Safety Management / Safety balance models / Minimization of errors.
      </p>
      <p>The component Culture means the ongoing interaction of a group of people with
their environment. Culture develops and changes due to technological, physical, and
social changes in the environment. When pursuing safety in these systems, it is
narrow and restrictive to look for explanations for accidents or safety deficiencies
exclusively in technical terms or purely from the perspective of the behavioral sciences. It
is necessary to systematically analyze and classify all the factors in the ANS as STS
that have an impact on the H-O in the performance of professional activities guided
by the requirements of ICAO documents in accordance with the steps below:
1. Analysis of ANS as STS: diagnostics, monitoring of the all factors (professional
and non-professional (individual-psychological, socio-psychological and
psychophysiological factors) that influence on decision making (DM) by the H-O in STS.</p>
      <p>2. Determining the professional type of the operators namely energy consumption
for the choice of profession and the compatibility of operators in the group.</p>
      <p>Optimization Models of Decision Making by
Human</p>
      <p>Operator in Air Navigation Socio-Technical System</p>
      <p>
        Decomposition of the DM process by H-O ANS and the systemic analysis of
influence of the factors of professional and non-professional activities on the DM in
ANSTS were done [
        <xref ref-type="bibr" rid="ref10 ref11">10, 11</xref>
        ]. In order to take into account the complex of the factors
that influencing on H-O of the ANSTS in the expected and unexpected conditions of
an aircraft operation a reflexive model of bipolar choice of H-O was worked-out [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ].
      </p>
      <p>The conceptual model of System for control and forecasting the ES development
that using DM models on the base of Artificial Intelligence System (AIS) / Decision
Support System (DSS) was obtained (Fig. 1), where F p  F ed , F exp  – are the
professional factors; F np  F ip , F pf , F sp  – are the non-professional factors; F ed – are
the knowledge, skills and abilities, acquired H-O during training; F exp – are the
knowledge, skills and abilities, acquired
H-O during professional activity;
F ip  fipt , fipa , fipp , fipth , fipi , fipn , fipw , fiph , f exp  – is a set of H-O
individualpsychological factors (temperament, attention, perception, thinking, imagination,
nature, intention, health, experience); F pf – is a set of H-O psycho-physiological
factors
(features
of the
nervous
system,
emotional types,
sociotypes);
F sp  f spm , f spe , f sps , f spp , f spl – is a set of H-O socio-psychological factors
(moral, economic, social, political, legal factors).</p>
      <p>
        The analysis of social-physiological factors conducted by the authors allowed to
make a conclusion that the activities of pilots are influenced by the own image, the
image of corporation as well as by interests of a family. At the same time respondents
– air traffic controllers (ATC) pay special attention to interests of their families, their
own economic status and professional promotion [
        <xref ref-type="bibr" rid="ref11 ref12">11, 12</xref>
        ].
      </p>
      <p>Deterministic and stochastic models for ANS H-O (pilot, controller) were obtained
in accordance with the flight manual of aircraft or the adopted technologies of
controller’s work ASSIST (Acknowledge, Separate, Silence, Inform, Support, Time) in
ES. Deterministic and stochastic models for ATC are presented in Fig. 2, where {А} –
is the set of the operations which are carried out by the controller in accordance with
ASSIST; {Т} – is the time of decision making; {Р} – is the set of the probabilities of
j-factor influence during i-alternative solution choice; {U} – is the set of the losses
associated with choosing i-alternative solution during j-factor influence; {R} – is the
set of the risks associated with choosing i-alternative solution during j-factor
influence; {λ} – is the set of the factors influencing DM.</p>
      <p>a)
b)</p>
      <p>
        With using neural network models, the values of probabilities (pn) [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ], expected
outcomes (rk) and additional inputs - factors (ξk) (Fig. 3) of ES development were
received.
n
 pi ui   k  0 .
      </p>
      <p>where f – is a non-linear function (active function) that takes into account the
time of decision making tі; net – is a weighted sum of inputs.</p>
      <p>The optimal solution is found by the criterion of an expected value with the
Savage criterion (4):</p>
      <p>where рi – are the weight coefficients; uі – are the neural network inputs; ξk– is a
Bias (shift) under influencing factors of uncertainty (Table 1).</p>
      <p>Factors that influencing on the decision making</p>
      <p>
        The critical time of the flight crew actions in case of an engine failure on take-off
and approach to land in the bad weather conditions was obtained [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]. The selection
in the direction of the negative pole leads to the maximum expected risk R=1028. The
choice in the direction of the positive pole when the ES occurs at the first stage of DM
by H-O ANS (for example, a flight to alternative aerodrome) has a risk which is 60,5
times lesser: R=17.
      </p>
      <p>
        In stochastic network of the flight situation development of GERT type the tops are
represented by stages of the situation (normal, complicated, difficult, emergency or
catastrophic), and the arcs are represented by a process of transition between stages of
the situation. The algorithm of stochastic network analysis was developed [
        <xref ref-type="bibr" rid="ref10 ref11">10, 11</xref>
        ].
Thus according to results of stochastic network analysis of the flight situation
development from normal to catastrophic the following values obtained: mathematical
expectation of flight situation development time tij – М[tij]; the variance of flight
situation development time tij –  2 [tij]; the probability of flight situation development pij
– рij,.рji, рiі. Based on the W-functions of positive and negative of H-O choice the
Markov's network of flight situations' development from normal to catastrophic was
constructed [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ].
      </p>
      <p>
        In addition, with using reflexive model the risks RA, RB of DM in the ANS under
the influence of the external environment x1, the previous H-O’s experience x2 and the
intentional choice of H-O x3 have obtained [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. The expected risk in the process of
DM of H-O is equal (5):
      </p>
      <p>RA  minRij 
RDM  RB   , 

RAB  X ( x1,x2 ,x3 ), , 
where RА – is an expected risk of the DM for H-O with taking into account the
criterion of the expected value minimization; RВ – is an expected risk of the DM for H-O
with taking into account his model of preferences; Rij – is an expected risk for making
Аij-decision; γ – is a concept of a rational individual’s behaviour; ρ – is a system of
individual’s preferences in a concrete situation of the choice; RАВ – is a mixed choice
made by a H-O.</p>
      <p>
        For example, if the pilot, the ATC and the society have a choice in the direction of
the negative pole B, the preferences model can form the plane of the disaster K [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ].
      </p>
      <p>
        Methodology of research and training in ANS as STS has developed [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ]. Let’s
consider the individual works of aviation students and post-graduate students in
education (course “Basic of DM in ANS” in National Aviation University, Kyiv) after
Master class of DM in ANS [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ].
      </p>
      <p>
        Research has shown that the choice of the optimal variant of the forced flight
completion in emergencies requires from the operator to analyze the significant amount of
diverse information. The following conceptual models of DSS in ANS have obtained,
such as DSS for ATC in emergencies, for example “Aircraft Decompression”, “Low
oil pressure”, “Engine failure”, etc. [
        <xref ref-type="bibr" rid="ref10 ref11 ref15">10, 11, 15</xref>
        ]; DSS for flight dispatcher for support
of the DM regarding aircraft landing in emergencies to choice alternative landing
aerodrome [
        <xref ref-type="bibr" rid="ref10 ref11">10, 11</xref>
        ]; DSS for operator of Unmanned Aerial Vehicles (UAV) in
emergencies situation, for example in losing of communication with UAV and choosing
optimal landing place, etc. [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ]. DSS contain common sets of components, such as
data related components, algorithm related components, user interface and display
related components. The user interface and the result of calculation of DM process by
H-O (pilots, ATC, UAV’s operators) under risk are presented in Fig. 4 [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ]. With
using this program operator can obtain optimal solution for such problem as landing
in bad weather condition, ES in flights, etc.
The conceptual model of System for control and forecasting the ES development that
taking into account the influence on DM process by ANS H-O of the professional
factors (knowledge, habits, skills, experience) as well as the factors of
nonprofessional nature (individual-psychological, psycho-physiological and
sociopsychological) has presented. Deterministic and stochastic models for ANS H-O
(pilot, controller) have obtained in accordance with the flight manual of aircraft or the
adopted technologies of ATC work ASSIST. With using neural network model, the
values of probabilities of ES development have received. The optimal solution has
found by the criterion of an expected risk minimization.
      </p>
      <p>Further research should be directed to solution of the complex practical tasks of
improving the operator’s actions in different cases of emergencies, to creation the
software for these problems. Models of ES development and of DM by UAV’s in ES
will allow predicting the H-O’s actions with the aid of the informational-analytic and
diagnostics complex for research H-O behavior in extreme situation.</p>
    </sec>
  </body>
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