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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Method of Forming General Requirements for ICT Metrological Equipment</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Sergii Gnatiuk</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Lev Sakovich</string-name>
          <email>lev@sakovich.com.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Denys Bakhtiiarov</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Aqeel Abdulhussein M. Al-Mudhafar</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Roman Odarchenko</string-name>
          <email>odarchenko.r.s@ukr.net</email>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Institute of Special Communication and information protection of the National Technical University of Ukraine “Kyiv Polytechnic Institute named after Igor Sikorsky</institution>
          ,”
          <addr-line>37 Peremohy ave., Kyiv, 03056</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>International European University</institution>
          ,
          <addr-line>3a Olevskaya str., Kyiv, 03164</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>National Aviation University</institution>
          ,
          <addr-line>1 Liubomyra Huzara ave., Kyiv, 03058</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <fpage>73</fpage>
      <lpage>81</lpage>
      <abstract>
        <p>The example of special Means of Special Communication (MSC) shows the main provisions of the proposed method of forming general requirements for metrological equipment used during their maintenance and current repairs. Based on the results of experimental research of the obtained scientific results, recommendations for their practical use have been developed. It is positive that not only the activity of specialists during the implementation of the method is formalized, but software is obtained that allows the use of new scientific results in scientific institutions during the modernization of existing or development of promising samples of special communications for their effective maintenance using modern achievements discrete search theory in recovery. The use of the method does not require additional training of repair specialists, which was confirmed during the experimental verification of scientific results in the improvement of maintenance of the tropospheric communication station R-423 in the 10th territorial node of government communication.</p>
      </abstract>
      <kwd-group>
        <kwd>1 Means of special communication</kwd>
        <kwd>MSC</kwd>
        <kwd>metrological characteristics</kwd>
        <kwd>compatible group search for a defect algorithm</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Formulation of the problem. Modern and
promising models of special communications are
among the most science-intensive and high-tech
types of industrial products, which are subject to
increased requirements for quality and efficiency.
The actual technical condition of special
communications during their maintenance and all
types of repairs is determined by analyzing the
results of quantitative evaluation of the values of
parameters and characteristics, which use
metrological equipment [
        <xref ref-type="bibr" rid="ref1 ref2">1, 2</xref>
        ].
      </p>
      <p>
        Analysis of recent research and publications.
The technical level of modern means of special
communication and metrological equipment
allows to take into account a significant number
of factors that significantly affect the
determination of the technical condition of special
communication means [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ].
      </p>
      <p>This became possible thanks to the works of
such famous scientists as V. Kaminsky, L. Vitkin,
V. Ignatkin, O. Vasilevsky—in the field of
determining the controlled quality parameters of
metrological equipment; S. Ksenz, B. Kredentser,
L. Sakovich—in the field of technical diagnostics
of means of special communication; V. Chinkov,
P. Stolyarchuk, B. Stadnyk, E. Pokhodylo,
E. Volodarsky—in the field of development of
metrological equipment; A. Friedman,
P. Novitsky, V. Yatsuk, M. Yakovlev—in the
field of development of the theory of metrological
reliability.</p>
      <p>At the same time, it should be noted the
imperfection of the existing methods of forming
general requirements for metrological equipment
(and, in particular, the parameters of special
communications), as they do not take into account
the impact of diagnostic quality on maintenance
of special communications.</p>
      <p>The purpose of the paper is to develop and
study a method of forming general requirements
for metrological equipment on the example of
special communication, which takes into account
the functional dependences of the quality
indicators of the diagnostic process.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Essence of the Method</title>
      <p>of Formation of General</p>
    </sec>
    <sec id="sec-3">
      <title>Requirements to the Metrological</title>
    </sec>
    <sec id="sec-4">
      <title>Equipment</title>
      <p>The method of forming general requirements
for metrological equipment is based on the
process of substantiation of the minimum required
values of metrological characteristics (MCH) of
measuring equipment (ME) (as the main
component of metrological equipment) used
during maintenance and repair of special
communications, to reduce their value with
restrictions on the time of establishing the
technical condition or recovery.</p>
      <p>
        Its essence is to scientifically substantiate the
values of metrological characteristics of
measuring equipment based on the use of
functional dependences obtained in [
        <xref ref-type="bibr" rid="ref4 ref5">4, 5</xref>
        ], linking
the value of the probability of correct estimation
of the measurement parameter of special
communication equipment with the average
recovery time during maintenance and
mathematical expectation deviation in the
definition of a faulty element or a typical element
of replacement of special means of
communication. This task is performed under the
condition and taking into account the performance
of tests according to the conditional algorithm of
diagnosing any form and type, which are built
according to the recommendations of modern
achievements of technical diagnostics.
      </p>
      <p>The use of the proposed method involves
taking into account the following limitations: the
implementation of the current repair of special
communications by the aggregate method; choice
of measuring equipment from the established list;
if there is one error in the evaluation of the
measurement result of the parameter, the faulty
element must be in the unit (unit, thesis, unit)
which is being replaced.</p>
      <p>The implementation of the proposed method
involves taking into account the following
assumptions: during maintenance or current
repairs, the presence of no more than one defect
in the MSC is assumed; in the process of
determining the technical condition of the MSC is
not allowed the presence of more than one error in
the evaluation of the measurement result of the
parameter; the procedure for performing
inspections is set by the CAD MSC of the optimal
form by the criterion of minimum Tv ;
maintenance or current repair MSC is performed
by the crew of hardware communication or
hardware technical support; the qualification of
specialists corresponds to the position according
to the staff list; the communication hardware and
the technical support station have serviceable
technological equipment and a complete set of
documentation.</p>
      <p>The limitations and assumptions correspond to
the actual operating conditions of the MSC in the
field.</p>
      <p>The mathematical apparatus of the method is
based on the use of methods of measurement
theory, probability theory, discrete search theory,
graph theory and discrete mathematics to obtain
functional dependences of ME deviation of the
technical state of the MSC from its true value
under given constraints and assumptions, and
computer simulation variables on the results.</p>
      <p>
        The main functional dependences and
analytical expressions used in the method are
given in Table 1 [
        <xref ref-type="bibr" rid="ref6 ref7">6, 7</xref>
        ].
      </p>
      <p>The initial data are as follows:
L is number of TRE;
t y is average troubleshooting time;
 is number of specialists;
Тvd is allowable recovery time.</p>
      <p>If   1 and the MSC has built-in diagnostic
tools, then enter the following:</p>
      <p>K1 is is the depth of the defect search with
built-in diagnostic tools;</p>
      <p>K2 is the average number of МE inspections;
p1 is the probability of correct evaluation of
the test result by built-in diagnostic tools;
t1 is average time of inspection by built-in
diagnostic tools;
t2 is average time of МE verification;</p>
      <p>M is the maximum value of the CAD
selection module.</p>
      <p>If   1 and the built-in diagnostic tools are
absent, we enter the following:
t is average time of performance of check;
K is the average number of inspections;
Z is the number of elements of the MSC;
l is the number of elements in the TRE;
U is type of redundancy of MSC (U  1
temporary, U  2 functional, U  3 constructive);
B is division of the MSC into B parts;
r is repetition of the first inspections on CAD.</p>
      <p>If   1 , then use a group search for defects
and additionally enter the following:</p>
      <p>D is type of group search for defects ( D  1
independent group search of defects, D  2 zone
group search of defects, D  3 joint group search
of defects);
m is CAD selection module;
t is average time of inspection.</p>
      <p>For D  2 , the following is additionally
introduced: n is is the number of defect search
zones (number of subsystems or MSC blocks).</p>
      <p>P
2  pr pK</p>
      <p>Т v
tK  r   t y</p>
      <p>P
p K log2 B t log2 L B  ty</p>
      <p>P
Kt  t y</p>
      <p>P

2 p
P 1 p 

L  K 1 p  L  r  2K r 

0.5 L</p>
      <p> B
1 p plog2L B1</p>
      <p> log2 BL 1 
0.5 Z  log2 Zl 1 </p>
      <p> l 
1 p plog2Z l1
1 p1  pK11 pK2 
 1 2
0, 5  K1
 1   M  i  ! 
 i1
 p1K1 1 p2  p2K2 1 </p>
      <p></p>
      <p>K1K2
  1  M  i  ! 
i1K1 </p>
    </sec>
    <sec id="sec-5">
      <title>3. The Main Stages of the Method</title>
      <p>of Formation of the General</p>
    </sec>
    <sec id="sec-6">
      <title>Requirements to the Metrological</title>
    </sec>
    <sec id="sec-7">
      <title>Equipment</title>
      <p>The algorithm for implementing the proposed
method involves the following steps: obtaining and
analyzing the original data; under the condition of
performance of works by one expert (   1) and
presence in MSC of the built-in means of diagnosis
use algorithms of Figs. 1 and 2; for   1 and the
absence of built-in diagnostic tools in the MSC using
the algorithms of Figs. 3 and 4; under the condition of
group search of defects depending on its type use
algorithms of Figs. 5–7.</p>
      <p>No
No</p>
      <p>No
No</p>
      <p>Data
replacement</p>
      <p>Yes
p2 1</p>
      <p>K1, K 2 , p1, t1,
Тvd , t2 , ty , M ,
p2  0,6</p>
      <p>P  p1K1 p2K2
Tv  K1t1  K2t2  ty</p>
      <p>P</p>
    </sec>
    <sec id="sec-8">
      <title>4. Research Method of Forming</title>
    </sec>
    <sec id="sec-9">
      <title>General Requirements for</title>
    </sec>
    <sec id="sec-10">
      <title>Metrological Equipment</title>
      <p>Consider the influence of the dimension of the
object L on the quality of recovery p , P ,  ,
Т v during the implementation of possible types of
group search for defects (1 - independent group
search for defects, 2 - zone group search for
defects, 3 - joint group search for defects) with
restrictions Тv  20 (m) and   0.5 (Figs. 8–11).
Their analysis shows that with given restrictions
on the quality of restoration of the object with a
small dimension, it is possible to use an
independent group search for defects, which
reduces the requirements for МE ( p1  p2  p3 ),
in addition, this type of group search for defects
provides with increasing L decrease P1 and  i for
due to the increase in p1 . But based on the
analysis of the behavior of the average recovery
time in all cases, it is advisable to use a joint group
search for defects ( Тv3  Тv2  Тv1 ), although
when increasing the dimension of the MSC to
L  100 obtain  3   2  1 by increasing the
requirements for MSC ( p1  p2  p3 ). In all cases
for the set restrictions on Тv and  realization of
all types of group search of defects is possible.
L,,t,ty,Тvd,</p>
      <p>N,Pi( )
Тв  a pK iN1 Pi( )
 0.5в1 p pK1
p, Тv , </p>
      <p>End</p>
      <p>K  log1 L
a  Kt  t y
a  Тvd</p>
      <p>YYeses
p  a Тvd 1K</p>
      <p>NNoo
в  K  L 1</p>
      <p>Data replacement</p>
      <p>YYeses</p>
      <p>NNoo p  1</p>
      <p>YYeses1ppK11/в NNoo p  p 0.001</p>
      <p>
        After obtaining the minimum allowable value of
p , at which Tv  Тvd and   0.5 , according to
known methods determine MCH ME: accuracy class
(KT), the division price and the length of the scale of
analog ME [
        <xref ref-type="bibr" rid="ref10 ref8 ref9">8–10</xref>
        ] or the number of digits (r) digital
ME. The cost of the ME will be minimal.
      </p>
    </sec>
    <sec id="sec-11">
      <title>5. Example of Application of the Proposed Method</title>
      <p>
        The order of use of the method is considered
on the example of the selection of ME for
maintenance of the path R-423 [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] for the
following initial data from [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]:
      </p>
      <p>L  51 , Тvd  20 m ,
t  3 m , ty  5 m ,
n  2 , m  2 ,   2 .</p>
      <p>The conditional algorithm of joint group
search of defect is given in Fig. 12. The results of
calculations are given in Table. 2.
also significantly reduces the cost of ME used during
the CR of the P-423 tract.</p>
      <p>
        The novelty of this method is a comprehensive
consideration of these factors and the development of
a new algorithm for its implementation using the new
analytical expressions obtained in the paper and the
functional dependences of maintenance MSC
indicators on controlled variables [
        <xref ref-type="bibr" rid="ref12 ref13 ref14 ref15">12–15</xref>
        ].
      </p>
    </sec>
    <sec id="sec-12">
      <title>6. Scientific and Methodological</title>
    </sec>
    <sec id="sec-13">
      <title>Recommendations for the Practical</title>
    </sec>
    <sec id="sec-14">
      <title>Use of Research Results</title>
      <p>The method proposed in the paper should be used
when improving the system of technical operation of
existing MSC, or when creating new models, in order
to meet the requirements for the average recovery
time with minimal ME costs.</p>
      <p>Ensuring a fairly high level of efficiency of the
State system of special communication and</p>
      <p>In this case, the zone group defect search does
not provide the required value of the recovery
time, because Tv  30 m . The best result is
provided by use of joint group search of defects,
thus in comparison with independent group search
of defects requirements to ME decrease and value
decreases to 20%.</p>
      <p>
        The best result of the prototype [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] provides a
joint group search for defects: p  0.995 ; P  0.911 ;
Тvd  17.3 m.
      </p>
      <p>The effect of using the proposed method is to
reduce the requirements for ME ( p  0.967 instead
p  0.995 ), as well as to reduce the average
recovery time of MSC during CR by 6.4%
(Tv  16.23 m instead Tv  17.3 m of the prototype).
That is, the effect of the implementation of the
method is equal to a 3% reduction in the requirements
for the probability of correct assessment of the test
result. This not only reduces the recovery time, but
information protection of Ukraine is possible with a
comprehensive solution to the problems of
developing promising and operation of existing
models of MSC with their appropriate technical
support with minimizing the cost of maintenance,
CR, and elimination of accidents and combat
damage. Solving this problem requires not only the
training of specialists in the operation and repair of
the MSC, but also the creation of the necessary
material and technical base, and a significant part of
its cost is metrological equipment (and, in particular,
ME). Therefore, the task of reasonable choice of the
nomenclature of metrological equipment is relevant.
This task is solved in order to ensure the necessary
requirements for the reliability and maintainability of
the MSC, provided the minimum cost of metrological
equipment.</p>
      <p>The accepted limitations and assumptions in the
implementation of the proposed method fully comply
with the conditions of technical operation,
maintenance, CR and elimination of multiple defects
of the MSC by the staff crews of hardware or
hardware in the field.</p>
      <p>Experimental verification of the received
methodical recommendations on the basis of the
offered method was carried out in 10 territorial nodes
of the governmental communication and the State
research institute of Special communication.</p>
      <p>The method developed in the paper differs from
the known availability of source data, taking into
account not only the circuit and design features of the
MSC, but also the use of all types of their redundancy
to improve the efficiency of diagnostic software,
which reduces the average recovery time and reduces
the requirements for MCH ME, that is reduces their
cost. The use of the method does not require
additional training of repair specialists, which was
confirmed during the experimental verification of
scientific results in the improvement of maintenance
of the troposphere communication station R-423 in
the 10th territorial node of government
communication.</p>
      <p>The obtained results are brought not only to the
formalized methodology, but also to the
corresponding software that allows their use in
scientific institutions and industry of Ukraine.</p>
    </sec>
    <sec id="sec-15">
      <title>7. Conclusions</title>
      <p>The paper offers general provisions, essence,
main stages, research results and an example of
application of the method of formation of general
requirements to the metrological equipment used
during maintenance and current repair of special
communication means.</p>
      <p>Based on the results of experimental research of
the obtained scientific results, recommendations for
their practical use have been developed. It is positive
that not only the activity of specialists during the
implementation of the method is formalized, but
software is obtained that allows the use of new
scientific results in scientific institutions during the
modernization of existing or development of
promising samples of special communications for
their effective maintenance using modern
achievements discrete search theory in recovery.</p>
      <p>Applying the developed method to other complex
technical systems will give a correspondingly
different effect. The use of the method does not
require additional training of repair specialists, which
was confirmed during the experimental verification
of scientific results in the improvement of
maintenance of the tropospheric communication
station R-423 in the 10th territorial node of
government communication.</p>
    </sec>
    <sec id="sec-16">
      <title>8. References</title>
    </sec>
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