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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Complex Technical System Condition Diagnostics and Prediction Computerization</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Odessa National Polytechnic University</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Odessa</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Ukraine nickolay.rud@gmail.com</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>@yandex.ua</string-name>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Beketov National University of Urban Economy in Kharkiv</institution>
          ,
          <addr-line>Kharkiv</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>National Transport University</institution>
          ,
          <addr-line>Kyiv</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>1938</year>
      </pub-date>
      <fpage>0000</fpage>
      <lpage>0002</lpage>
      <abstract>
        <p>Based on the analysis of literary sources, the article sets the goal of forming a methodological application of information technology in diagnostics, as well as in predicting the state of complex technical systems. It is advisable to carry out a diagnostic assessment of the system failures risk based on modeling their components interaction. To achieve this goal, an informational cognitive model has been developed that allows for diagnosis to assess complex technical systems components failure risk. In order to provide a search for the failures causes of a complex technical system diagnosed subsystems components, a decision support model has been developed and researched. Using the developed informational cognitive model for diagnosing complex technical systems, the method and decision support model allows us to: diagnose the risk values of system component failures when information about component failures is received; to predict system components failure risk value in order to select a strategy for their recovery; support decision making when searching for the causes of system component failures. The developed methods and models, the proposed solutions for informatization of diagnostics and prediction of the complex system technical condition provide flexibility and adaptability.</p>
      </abstract>
      <kwd-group>
        <kwd>complex technical system</kwd>
        <kwd>diagnostics</kwd>
        <kwd>simulation</kwd>
        <kwd>cognitive model</kwd>
        <kwd>decision support</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>Designed complex technical systems (CTS) are characterized by multicomponent
structural and functional complexity. The increasing complexity of CTS requires the
development of new methods to ensure such systems reliability. Reliable CTS
operation isn’t possible without diagnostic tools and predicting the technical condition of
systems. Diagnosis and prediction CTS’s state with an assessment components failure
risk needs information support based on modern advances in information technology.</p>
    </sec>
    <sec id="sec-2">
      <title>Description of Problem</title>
      <p>
        Currently, it remains relevant to develop new methods based on information
technology applications in the CTS diagnosis with an assessment of their components
failure risk [
        <xref ref-type="bibr" rid="ref1 ref2 ref3">1-3</xref>
        ]. A widely used method for predicting system’s technical condition
based on modeling using time series CTS parameters characterizing [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. Advantages
and disadvantages of such methods are described in several publications [
        <xref ref-type="bibr" rid="ref5 ref6">5,6</xref>
        ]. When
forecasting based on retrospective data, machine learning systems based on artificial
neural networks are used [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. For monitoring, diagnosing the causes of CTS failures,
forecasting, deep learning methods are also used [
        <xref ref-type="bibr" rid="ref10 ref8 ref9">8-10</xref>
        ]. Intelligent methods used in
CTS diagnostics and prediction systems include evolutionary programming.
Modifications to the Bayesian approach and Bayesian networks can be used to predict CTS
accidents and failures occurrence. In [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ], a dynamic Bayesian trust network is
presented, which allows predicting the values of failure probabilities and searching for
defects and malfunctions in decision support systems.
      </p>
      <p>
        At present, simulation modeling (SM) is widely used, which makes it possible to
experiment with the analytic-probabilistic model, exploring various situations and
simplifying the decision-making process. Simulation software in particular, SM
products, such as Arena, AutoMod, AnyLogic, Extend, GPSS World and others,
contributes to the widespread are widely used for research tasks. However, software tools
facilitate the process of diagnosing and predicting CTS components failures risk, but
do not facilitate the solution of the time-consuming task of collecting initial
information, its interpretation, formalization, and an adequate ratio with a specific CTS. A
promising SM method for studying systems reliability during their transitions
between different state variants is cognitive simulation (CIM) based on models in the
form of oriented graphs that reflect the CTS components interaction [
        <xref ref-type="bibr" rid="ref12 ref13 ref14 ref15 ref16 ref17">12-17</xref>
        ].
      </p>
      <p>The analysis CTS cognitive models for both diagnosis and prediction system
components failures risk showed the need to develop an informational cognitive model for
diagnosing CTS components failures risk as a whole, a forecasting model and
decision support when searching for the causes diagnosed systems components failures.
Prospects for the further development of CIM methods for diagnosing and predicting
CTS components failures risk with interpretation, formalization and an adequate ratio
of incoming information about the technical condition of the system. In order to
interpret, formalize and adequately correlate the incoming information during the study of
the reliability of systems during their transitions between different state options,
further improvement of the software for diagnostics and prediction CTS components
failures risk is necessary. It is necessary to develop methods and models, new
solutions for informatization of diagnostics and predicting the technical condition of a
complex system to ensure: flexibility - the ability to use methods at any level to assess
CTS subsystems components failure risk with their various configurations;
adaptability - methods must have the ability to adapt when changing the configuration of CTS
subsystems.</p>
    </sec>
    <sec id="sec-3">
      <title>Information software for the diagnostics, forecasting and</title>
      <p>decision support CTS subsystem failures risk assessment
3.1</p>
      <sec id="sec-3-1">
        <title>System concept</title>
        <p>
          The concept of the CTS risk failures assessing in emergency scenarios is based on
combining heterogeneous CTS components into a single model [
          <xref ref-type="bibr" rid="ref18 ref19 ref20">18-20</xref>
          ]. The model
should provide an CTS failures risk assessment taking into account the
interconnectedness and interaction of their components in regard to significance and criticality for
the entire system functioning as a whole, and also ensure the identification of
structural threats and vulnerabilities in the CTS.
        </p>
        <p>The cognitive model can be represented as a functional graph</p>
        <p>Fgr (G, X , F , Q)
where G  V ,T , Е , G- sign oriented graph; V  vi , i=1,2,…k - cognitive map
vertices; E  eij  - many arcs connecting the vertices vi and vj; Т – time; X  xi 
- vertex parameters; F  f vi , v j , еij  - connection function between vertices; Q –
vertex parameter space.</p>
        <p>As a measure of damage to an undesirable event, it is proposed to determine the
structural damage of components and inter-component communications (IC) in
accordance with the method for assessing the CTS structural failure risk. Performing
diagnostics to assess the components failures risk and the IC of the ICE with the
subsystems, failures probabilities for the system’s components and IC are preliminarily
determined. For this, statistical data obtained for a fixed time, containing information on
the number of component and IC outages, is used. The components and IC failure
probabilities CTS sub-systems are determined as
(1)
(2)
,
,
where
– the i-th component failure probability;
– the i-th IC failure probability;
– the i-th component number of failures;
– the i-th IC number of failures ;
ч. – statistical testing period.
3.2</p>
      </sec>
      <sec id="sec-3-2">
        <title>Modelling CTS diagnosis software development</title>
        <p>When implementing CIM, it is proposed to use developed application software for
modeling is based on the client-server architecture. A striking modeling impulse on
the system effect was applied for the CTS diagnosis. For this, the distribution of the
operating system Debian GNU / Linux 8.0 (stable) is used. Python was used as the
programming language. Data on the CTS components is hosted in the NoSQL
MongoDB. Data exchange between the client and server side is carried out using the
Restfull API. The initial data of the models are presented in JSON format. Automation of
the system was carried out on the basis of GNU make tools. Analysis of the results
was carried out by Calc Libre Office means. The diagrams of use cases are used to
determine the general boundaries and context of the simulated domain at the
developing software initial stages for assessing the risk of CTS failures, damage from loss of
system operability and formulating general requirements for its behavior (Fig. 1).
Software use cases diagram allows us to develop project main entities models by
building class diagrams. A software class diagram fragment is shown in Fig. 2.</p>
        <p>The classes GraphsOverview, MainWindow, ChartViewWindow,
GraphsOverviewWindow, GraphWindow, GraphWindowView, CalcutePage,
MainWindowView, and ChartViewModel implement a number of interfaces to provide the
necessary visualization functions for the processed and calculated data. To implement
the indicated logic, the following interfaces for CIM were used and involved in the
form of a graph: IComponentConnector (to ensure the connection of element objects
among themselves); IContent (for displaying and implementing functions of dynamic
linking and drawing objects of a working graphic container on the corresponding
form); INotifyPropertyChanged (for handling events created graphic objects
properties changing); IStyleConnector (to change the type of communication between
components).The features of the system’s physical representation are described in the
relationship between system basic components form formalization. To do this, use the
component diagram (Fig. 3) allows us to determine system architecture, taking into
account the relationship between software components, which may be the source,
binary and executable code. The main module (MainApp) carries out the functions of
calling the appropriate modules to process user requests for: constructing a graph
model (GraphBuilder) based on the use of external dependencies Graph # and
OxyPlot, as well as the WPF GraphLay-out module to ensure the interactive visualization
container operation with received models calculation system failures damage and risk;
viewing the results in tabular form to evaluate their values; construction and viewing
a graph showing calculations results in a ranked form..</p>
        <p>As graphic libraries connected in external dependencies mode, Graph # and
OxyPlot were used. Graph # library for graph visualization, containing some layout
algorithms, as well as for controlling GraphLayout WPF applications. Supported build and
delete algorithms: Fruchterman - Reingold; Kamada - Kawai; ISOM LinLog; simple
tree layout; Sugiyama; Force-Scan allocation algorithm. In order to simulate the
interaction of objects in the designed software over time, as well as messages exchange
between them, a sequence diagram (Fig. 4) is used Each of the above forms (except
the main one) is a separate fragment dynamically loaded in a single space in the new
tab form (TabPane object), located at the main form. The basic component of the
graph structure construction method is the Sugiyama algorithm.</p>
        <p>In order to describe the CTS diagnosis software functionality, we denote the key
classes that implement created software’s business logic:
1. Calculations class CalculatePage: UserControl, IContent, IComponentConnector. It
interprets and uses the obtained results of constructing a system model in the graph
form to assess damage and the failures risk.
2. A class for constructing and displaying a ranked graph of calculated failure risk
values ChartViewModel: INotifyPropertyChanged.
3. The CIM construction class in the graph form GraphWindowViewModel:
INotifyPropertyChanged.</p>
        <p>The system resulting graph model display class Graphs Overview: UserControl,
IContent, IComponentConnector.The developed CTS diagnosis software used for
research allows the user to:
 create a CTS CIM in the graph form, with support for the model name functions,
setting a brief description, creating a new vertex and its image on the panel,
creating a connection between the vertices, choosing an algorithm for positioning and
displaying the structure in a graphic container;
 view the structure of the previously created CIM in the form of a graph with the
vertices and edges total number display, supporting the loading operation into the
program workspace;
 import a graph in *.json format for its visualization in the system;
 export CIM as a graph to a separate graphic file in *.jpg format;
 calculate the damage from failures values and the simulated CTS components
failures risks and display the results in a summary table;
 build graphs obtained results visualization in a ranked form.</p>
        <p>
          CTS subsystems are a dynamic structure, because their components have a
different wear degree and change their characteristics at different speeds. All this leads to
the following requirements for the decision-making support method (DSM) used
[
          <xref ref-type="bibr" rid="ref11 ref20">11,20</xref>
          ] when searching diagnosed CTS subsystems components failures causes:
flexibility - the ability to use the method at any level to assess the ICE components failure
risk with their various configurations; adaptability - the method should have the
ability to adapt to changes in the CTS subsystems configuration. To support
decisionmaking on failure ICE subsystems risk assessments as well as when searching for
failed system components, a method based on dynamic Bayesian trust networks
(DBTN) is used [
          <xref ref-type="bibr" rid="ref21">21</xref>
          ]. The method has several advantages over other methods in
assessing the likelihood of a CTS failure-free operation. The use of DBTN allows us to:
assess the risk of CTS failures upon receipt of a new information about element
failures; to predict the value of the risk of CTS failures in order to choose a system
recovery strategy; support decision making when searching for the cause of component
failure and the CTS as a whole. The proposed approach, regardless of the structure of
the CTS, is based on the fact that the objective function of assessing the health of the
objective function CTS components efficiency assessing through DBTN is
        </p>
        <p>F ( Pb )  G , M , (3)
where G – acyclic directed network graph; M – ICE subsystems DBTN components.</p>
        <p>The graph vertices are CTS’s subsystems, which, taking into account the hierarchy,
are determined as
v  vij 1, n, j  1, m,
(4)
where v – CTS element name; i – network block number, n – number of blocks in the
network; j – network level number; m –levels number in the network.</p>
        <p>Based on the component location in the DBTN structure, two types of graph
elements (vertices) are possible: parents (vij  parent (vij1 )) variety vertex vij ,
vertex vij1 , providing parent connections vij to child element vij1 ; child element
(vij 1  children (vij )) variety vertex vij1 , vertex - vij , providing relationships
between a child vij1 and parent vij .</p>
        <p>CTS subsystems diagnosed DSM model implementation is carried out in
accordance with the decision support algorithm for assessing CTS subsystems failure risk
and consists in constructing the CTS DBTN using the following databases: design and
regulatory documentation; expert evaluations of decision support for typical failure
risk scenarios; decision support criteria; statistics of diagnosed data on the static and
dynamic CTS subsystems elements characteristics.</p>
        <p>A data sample is formed for a specific scenario CTS subsystems components data
failure risk occurrence during analyzing procedure. Data is then interpreted and
processed using blocks for acquiring knowledge, supporting decision making, and
managing rules. As a result, they are replenished with new bases and knowledge data, data
and rules, which then enter the analysis decisions unit.
4
4.1</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Experiments and results analysis</title>
      <sec id="sec-4-1">
        <title>Developed simulation model research</title>
        <p>An automobile internal combustion engine system was chosen as an example of the
diagnostic method practical implementation for assessing the CTS subsystems failure
risk. Automobile internal combustion engine (ICE) as a directed graph diagram with
subsystems is shown in Fig. 5.</p>
        <p>The scheme of an internal combustion engine with subsystems (Fig. 5) consists of:
TAB – traction battery; DVS – internal combustion engine; ZRD – drive mode dial;
BS – unit for summing voltages and powers; OPE – reversible energy converter;
PHM – speed and torque converter; MP – mechanical transmission; VK – driving
wheels; MSI – clutch between DVS and OPE shafts; MS2 – clutch between OPE and
MP shafts; ROPE – OPE knob; RPHM – regulator PHM; RDVS – DVS controller.</p>
        <p>СIM modeling results let us to evaluate failures risk for all internal combustion
engine’s elements with subsystems and rank the calculation results (Fig. 6). From the
internal combustion engine elements structural damages results it follows that the
most critical elements are the elements TAB, BS and RDVS. This is due to the high
values of their structural damage (1.0, 0.85 and 0.75). Less critical elements are
elements MP, VK, namely mechanical transmission, drive wheels; having slightly lower
structural damage values (0.15 and 0.05).</p>
        <p>It also follows that the engine itself belongs to the most ICE vulnerable elements
with subsystems, based on the obtained values of the element failure risk (0,089).
Less vulnerable ICE elements with subsystems include the OPE regulator (0.02).</p>
        <p>
          The construction and study of the CTS subsystems component failure risk
assessment DBTN was carried out using the GiNIe software product [
          <xref ref-type="bibr" rid="ref22">22</xref>
          ].
4.2
        </p>
      </sec>
      <sec id="sec-4-2">
        <title>Decision support method CTS subsystems failure risk assessing research</title>
        <p>Simulating ICE subsystems DBTN (Fig. 7) for different values of the subsystem
failure probability (risk) at the CTS model input the risk values for 20,000 hours of
ICE operation was determined (Fig. 8).</p>
        <p>Research results let us define that with an increase subsystem’s failure risk at the
CTS model input from 0.09 to 0.26, the daughter CTS failures risk values increase
notably.</p>
        <p>Simulation model for assessing the failure risk during the ICE subsystems
operation study showed that even a relatively small number of the subsystems considered
components generate a large possible scenarios number and options leads to extreme
situation when any component might be damaged. When models are supplemented
with indicators of real subsystems criticality and spatial arrangement, models scale
increases several times. The studied subsystems scale enlargement leads to a further
increase in sub-systems emergency conditions.</p>
        <p>The practical implementation of the proposed method for diagnosing the risk of
failure of ICE subsystems can easily apply to any CTS structure, which has any
complexity degree, any relationships between CTS components and subsystems.
Fig. 7. DBTN for ICE subsystems in the GeNIe environment when determining CTS subsystem
failures risk (subsystem failure risk at the model 0.26 input)</p>
      </sec>
      <sec id="sec-4-3">
        <title>Practical implementation and research of the decision support forecasting method and model in CTS subsystems finding failures causes</title>
        <p>Practical implementation and research of the decision support forecasting method
and model in CTS subsystems finding failures causes are provided on ICE example.
When conducting studies diagnosed ICE subsystems DSM model each subsystem
influence degree on the probability of performance loss the both subsystems and CTS
failures risk as a whole was determined.</p>
        <p>From a retrospective research results analysis the subsystems were installed to the
greatest extent, affecting the overall system performance.</p>
        <p>Emergency situations studying and CTS events analysis has the main goal to
determine the cause of the system performance loss. From the research results it follows
that the maximum failure risk during the subsystems operation is 20,000 hours for the
ZRR subsystem. The ZRR subsystem is interdependent in operation from other ICE
subsystems. Therefore, it is necessary to check the subsystem in order to find the
failure cause. To identify the possible cause of the ZRR failure, relevant research
processes were carried out using the search scheme for the ZRR subsystem failure
cause, shown in Fig. 9.</p>
        <p>The ZRR subsystem failure cause search was performed in accordance with the
algorithm shown in Fig. 10.</p>
        <p>The purpose of the use of DBTN in assessing both the performance loss probability
and the subsystems failure risk is an a posteriori conclusion. It consists in the fact that
upon information receipt about subsystems failures, a priori failures probability (risk)
that is incompatible with the evidence and is equal to zero.</p>
        <p>A priori data are listed and form in a posteriori failures probability (risk) estimate,
which is a priori data for processing new information. The posterior conclusion is
based on data analysis procedures resulting from the DBTN usage.</p>
        <p>When this approach is implemented, studies based on a priori and posterior data
modeling have determined CTS subsystems for various time intervals that have the
vastly impact on the CTS performance. It has been established that BS and ZRR
belong to such subsystems (Fig. 11, 12).</p>
        <p>The performed researches allow us to obtain algorithmic and methodological
support for making informed decisions at the stage CTS subsystems operation ща any
complexity. The used troubleshooting algorithm in СTS provides: finding technically
critical subsystems at all system levels, which maintenance must be performed
immediately; troubleshooting time optimization.</p>
        <p>Developed models research results application for the CTS emergency situations
retrospective analysis purpose allows us to solve the determining their causes
problem.</p>
        <p>This becomes especially relevant when the accident analysis the identification of
its root cause and appropriate measures adoption eliminates or reduces the adverse
events recurrence likelihood, which means that it will fulfill the task and increase the
CTS components operation reliability.
5</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>Conclusion</title>
      <p>Using the developed methods and models of diagnostics, forecasting and decision
support when searching CTS diagnosed subsystems components failures causes
allows you to: diagnose the system components risk failures values upon receipt of
information about failures in subsystems; to predict the risk of system components
failure in order to select a strategy for their recovery; support decision making when
searching for the causes of system components failures; increase the efficiency of the
operation of the CTS as a result of subsystems elements prone to failure early
identification.</p>
      <p>The application of the developed software for the CTS diagnostic processes with
an assessment system failures risk makes it possible to identify the least efficient
components and inter-component communications, the functioning of which
significantly affects the operability and reliability of the entire system.</p>
      <p>The developed methods and models, the proposed solutions for informatization of
diagnostics, as well as forecasting the technical condition of a complex system, unlike
existing approaches, provide: flexibility - the ability to use methods and models at any
level to assess CTS subsystems components failure risk with their various
configurations; adaptability - methods and models have the ability to adapt when changing the
configuration CTS subsystems.</p>
    </sec>
  </body>
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