=Paper= {{Paper |id=Vol-3288/short3 |storemode=property |title=Method of Forming General Requirements for ICT Metrological Equipment (short paper) |pdfUrl=https://ceur-ws.org/Vol-3288/short3.pdf |volume=Vol-3288 |authors=Sergii Gnatiuk,Lev Sakovich,Denys Bakhtiiarov,Aqeel Abdulhussein M. Al-Mudhafar,Roman Odarchenko |dblpUrl=https://dblp.org/rec/conf/cpits/GnatiukSBAO22 }} ==Method of Forming General Requirements for ICT Metrological Equipment (short paper)== https://ceur-ws.org/Vol-3288/short3.pdf
Method of Forming General Requirements for ICT Metrological
Equipment
Sergii Gnatiuk1, Lev Sakovich2, Denys Bakhtiiarov3, Aqeel Abdulhussein M. Al-Mudhafar3,
and Roman Odarchenko3
1
  International European University, 3a Olevskaya str., Kyiv, 03164, Ukraine
2
  Institute of Special Communication and information protection of the National Technical University of Ukraine
“Kyiv Polytechnic Institute named after Igor Sikorsky,” 37 Peremohy ave., Kyiv, 03056, Ukraine
3
  National Aviation University, 1 Liubomyra Huzara ave., Kyiv, 03058, Ukraine

                 Abstract
                 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.

                 Keywords 1
                 Means of special communication, MSC, metrological characteristics, compatible group search
                 for a defect algorithm.

1. Introduction                                                                                        determination of the technical condition of special
                                                                                                       communication means [3].
                                                                                                           This became possible thanks to the works of
    Formulation of the problem. Modern and
                                                                                                       such famous scientists as V. Kaminsky, L. Vitkin,
promising models of special communications are
                                                                                                       V. Ignatkin, O. Vasilevsky—in the field of
among the most science-intensive and high-tech
                                                                                                       determining the controlled quality parameters of
types of industrial products, which are subject to
                                                                                                       metrological equipment; S. Ksenz, B. Kredentser,
increased requirements for quality and efficiency.
                                                                                                       L. Sakovich—in the field of technical diagnostics
The actual technical condition of special
                                                                                                       of means of special communication; V. Chinkov,
communications during their maintenance and all
                                                                                                       P. Stolyarchuk,     B. Stadnyk,     E. Pokhodylo,
types of repairs is determined by analyzing the
                                                                                                       E. Volodarsky—in the field of development of
results of quantitative evaluation of the values of
                                                                                                       metrological       equipment;        A. Friedman,
parameters and characteristics, which use
                                                                                                       P. Novitsky, V. Yatsuk, M. Yakovlev—in the
metrological equipment [1, 2].
                                                                                                       field of development of the theory of metrological
    Analysis of recent research and publications.
                                                                                                       reliability.
The technical level of modern means of special
                                                                                                           At the same time, it should be noted the
communication and metrological equipment
                                                                                                       imperfection of the existing methods of forming
allows to take into account a significant number
                                                                                                       general requirements for metrological equipment
of factors that significantly affect the
                                                                                                       (and, in particular, the parameters of special

CPITS-2022: Cybersecurity Providing in Information and Telecommunication Systems, October 13, 2022, Kyiv, Ukraine
EMAIL: sgnatuk30@gmail.com (S. Gnatiuk); lev@sakovich.com.ua (L. Sakovich); bakhtiiaroff@tks.nau.edu.ua (D. Bakhtiiarov);
almudhaffar2004@gmail.com (A, A. M. Al-Mudhafar); odarchenko.r.s@ukr.net (R. Odarchenko)
ORCID: 0000-0002-1541-7058 (S. Gnatiuk); 0000-0002-8257-7086 (L. Sakovich); 0000-0003-3298-4641 (D. Bakhtiiarov); 0000-0001-
5306-4801 (A, A. M. Al-Mudhafar); 0000-0002-7130-1375 (R. Odarchenko)
             ©️ 2022 Copyright for this paper by its authors.
             Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).
             CEUR Workshop Proceedings (CEUR-WS.org)



                                                                                              73
communications), as they do not take into account                The implementation of the proposed method
the impact of diagnostic quality on maintenance              involves taking into account the following
of special communications.                                   assumptions: during maintenance or current
    The purpose of the paper is to develop and               repairs, the presence of no more than one defect
study a method of forming general requirements               in the MSC is assumed; in the process of
for metrological equipment on the example of                 determining the technical condition of the MSC is
special communication, which takes into account              not allowed the presence of more than one error in
the functional dependences of the quality                    the evaluation of the measurement result of the
indicators of the diagnostic process.                        parameter; the procedure for performing
                                                             inspections is set by the CAD MSC of the optimal
2. Essence of the Method                                     form by the criterion of minimum Tv ;
   of Formation of General                                   maintenance or current repair MSC is performed
                                                             by the crew of hardware communication or
   Requirements to the Metrological                          hardware technical support; the qualification of
   Equipment                                                 specialists corresponds to the position according
                                                             to the staff list; the communication hardware and
    The method of forming general requirements               the technical support station have serviceable
for metrological equipment is based on the                   technological equipment and a complete set of
process of substantiation of the minimum required            documentation.
values of metrological characteristics (MCH) of                  The limitations and assumptions correspond to
measuring equipment (ME) (as the main                        the actual operating conditions of the MSC in the
component of metrological equipment) used                    field.
during maintenance and repair of special                         The mathematical apparatus of the method is
communications, to reduce their value with                   based on the use of methods of measurement
restrictions on the time of establishing the                 theory, probability theory, discrete search theory,
technical condition or recovery.                             graph theory and discrete mathematics to obtain
    Its essence is to scientifically substantiate the        functional dependences of ME deviation of the
values of metrological characteristics of                    technical state of the MSC from its true value
measuring equipment based on the use of                      under given constraints and assumptions, and
functional dependences obtained in [4, 5], linking           computer simulation variables on the results.
the value of the probability of correct estimation               The main functional dependences and
of the measurement parameter of special                      analytical expressions used in the method are
communication equipment with the average                     given in Table 1 [6, 7].
recovery time during maintenance and                             The initial data are as follows:
mathematical expectation deviation in the                        L is number of TRE;
definition of a faulty element or a typical element              t y is average troubleshooting time;
of replacement of special means of                                is number of specialists;
communication. This task is performed under the
                                                                 Т vd is allowable recovery time.
condition and taking into account the performance
of tests according to the conditional algorithm of              If   1 and the MSC has built-in diagnostic
diagnosing any form and type, which are built                tools, then enter the following:
according to the recommendations of modern                       K1 is is the depth of the defect search with
achievements of technical diagnostics.                       built-in diagnostic tools;
    The use of the proposed method involves
taking into account the following limitations: the               K 2 is the average number of МE inspections;
implementation of the current repair of special                  p1 is the probability of correct evaluation of
communications by the aggregate method; choice               the test result by built-in diagnostic tools;
of measuring equipment from the established list;                t1 is average time of inspection by built-in
if there is one error in the evaluation of the
                                                             diagnostic tools;
measurement result of the parameter, the faulty
element must be in the unit (unit, thesis, unit)                 t 2 is average time of МE verification;
which is being replaced.                                         M is the maximum value of the CAD
                                                             selection module.




                                                        74
Table 1
Indicators of quality of diagnostic support
   Type of           Characteristic                                                                        
 redundancy               CAD
                                                  P                   Тv
                                                                                       P 1  p  
 Temporary            Repeat r the                               t K  r   t y
                                            2  p r p K                                L  K  1  p  L  r  2K r 
   U=1                first B checks                                    P                                              
                                                                                                       2p
                                                                                                 L       L 
 Functional            Distribution              K  log 2 B    t log2 L B   t y          0.5   log 2  1 
                                             p                                                   B       B 
   U=2              of MSC of B parts                                   P                    1  p  p log2  L B 1
                                                                                               Z       Z   
Constructive           Binary CAD                    K              Kt  t y               0.5   log 2  1 
                                                 p                                              l      l   
   U=3            of the minimum form                                   P                   1  p  p log 2  Z l 1
                                                                                              1  p1  p1K1 1 p 2K 2 
                                                                                              
                                                                                         0, 5  K1
 Information                                                                                   1   M  i  ! 
                        Modified              K          K       K1t1  K 2t 2  t y           i 1
and structural                              p1 1 p 2 2
                     inhomogeneous                                       P               p1K1 1  p2  p2K 2 1 
     U=4                                                                                                           
                                                                                         K1  K 2
                                                                                                                   
                                                                                          1   M  i  ! 
                                                                                         i 1 K1                  

    If   1 and the built-in diagnostic tools are
absent, we enter the following:                                3. The Main Stages of the Method
    t is average time of performance of check;                    of Formation of the General
     K is the average number of inspections;
     Z is the number of elements of the MSC;                      Requirements to the Metrological
    l is the number of elements in the TRE;                       Equipment
    U is type of redundancy of MSC ( U  1
temporary, U  2 functional, U  3 constructive);                  The algorithm for implementing the proposed
     B is division of the MSC into B parts;                    method involves the following steps: obtaining and
     r is repetition of the first inspections on CAD.          analyzing the original data; under the condition of
    If   1 , then use a group search for defects             performance of works by one expert (   1 ) and
and additionally enter the following:                          presence in MSC of the built-in means of diagnosis
     D is type of group search for defects ( D  1             use algorithms of Figs. 1 and 2; for   1 and the
independent group search of defects, D  2 zone                absence of built-in diagnostic tools in the MSC using
group search of defects, D  3 joint group search              the algorithms of Figs. 3 and 4; under the condition of
of defects);                                                   group search of defects depending on its type use
     m is CAD selection module;                                algorithms of Figs. 5–7.
    t is average time of inspection.
    For D  2 , the following is additionally
introduced: n is is the number of defect search
zones (number of subsystems or MSC blocks).




                                                         75
                        Start                                                                                            Start


                K 1 , K 2 , p1 , t1 ,                                                                  U 1                                  U 3
              Т vd , t2 , t y , M ,                     Data                                                              U
                    p2  0,6                        replacement
                                                                                                                               U 2
                              K       K
                                                                                     P  2 p p
                 P  p1 1 p2 2                              Yes
                                               No
                                                       p2  1
                                                                                                      r K
                                                                                                              P p            K  log 2 B
                                                                                                                                                P  pK
                    K1t1  K 2t2  t y
             Tv 
                                  P                                                        t  K  r   ty   Tv 
                                                                                                                     t log 2  L B   t y             Kt  t y
                                                                                    Tv                                       P                 Tv 
                                                                                                  P                                                       P
                    Tv  Т vd
                                          No
                                                    p2  p2 0.001
                                  Yes                                                                                    End
                                               No                    Yes
                                                       p2  1
Рис. 2.5                  F3                                                    Figure 3: F1 “Calculation of the average recovery
                                                                                time”
                                          No
                       0,5                     p2  p2  0.001
                                                                                                                         Start
                                  Yes

                              K       K
                    P  p1 1 p2 2
                                                                                                      U 1                                   U 3
                                                                                                                          U
                    K1t1  K 2t2  t y
             Tv 
                                  P                                                                                            U 2
                                                                                   a  Lr2           K r   a  log 2 L B                   a  log 2 Z l
                    p2 ,  , Т v

                                                                                   в  L  K 1 pa           в  L B  a 1                   в  Z l  a 1
                          End


           Figure 1: Block diagram of the algorithm for                                    в 1  p  P                в 1  p  p a 1
                                                                                                            
           calculating the minimum allowable value of the                                       2 p                           2
           probability of correct evaluation of the test result
           by external means of measuring equipment                                                                      End

                                                                                Figure 4: F2 “Calculation of the mathematical
                          Start
                                                                                expectation of the deviation of the diagnosis”

             a  1  p1  p1 1 p2 2
                                      K 1 K                                    4. Research Method of Forming
                                                                                   General Requirements for
             в  p1 1 1  p2  p2 2
                      K                   K 1                                     Metrological Equipment

                        K1
                                                                                   Consider the influence of the dimension of the
               c  a  1  M  i  !                                         object L on the quality of recovery p , P ,  ,
                       i 1
                                                                                Т v during the implementation of possible types of
                     K1  K 2
              d         1   M  i  !                                     group search for defects (1 - independent group
                     i 1  K 1                                                 search for defects, 2 - zone group search for
                                                                                defects, 3 - joint group search for defects) with
                 0.5  ac  vd                                               restrictions Т v  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
                             End                                                small dimension, it is possible to use an
                                                                                independent group search for defects, which
           Figure 2: F3 “Calculation of the mathematical                        reduces the requirements for МE ( p1  p2  p3 ),
           expectation of the deviation of the diagnosis”
                                                                                in addition, this type of group search for defects


                                                                           76
provides with increasing L decrease P1 and  i for             when increasing the dimension of the MSC to
                                                               L  100 obtain  3   2  1 by increasing the
due to the increase in p1 . But based on the
analysis of the behavior of the average recovery               requirements for MSC ( p1  p2  p3 ). In all cases
time in all cases, it is advisable to use a joint group        for the set restrictions on Т v and  realization of
search for defects ( Т v 3  Т v 2  Т v1 ), although          all types of group search of defects is possible.




Figure 5: Block diagram of the algorithm for finding the minimum required value of the probability of
correct evaluation of the test result in an independent group search for defects




Figure 6: Block diagram of the algorithm for finding the minimum required value of the probability is
correct evaluation of the result of the inspection during the zone group search of defects



                                                          77
          Start
                                     K  log1 L
        L,  , t , t y , Т vd ,                                      Data replacement
        N , Pi ( )
                                         a  Kt  t y


                                          a  Т vd        No
                                                           No
                   N
  Тв  a p   K
                   P ( )
                  i 1
                         i                      Yes
                                                 Yes

                                    p   a Тvd 
                                                       1 K


   0.5 в 1 p pK 1
                                                                              Yes
                                                 L 1                          Yes
                                     в K                          No
                                                                    No   p 1
      p, Т v , 
                                  Yes                         No
                                     1 ppK1 1/ в
                                   Yes                         No    p  p  0.001
           End

Figure 7: Block diagram of the algorithm for finding the minimum required value of the probability of
correct evaluation of the test result in a joint group search for the defect




                                                                                             Figure 10: Dependences of mathematical
Figure 8: Dependencies of the required value of                                              expectation of deviation of the diagnosis at one
the probability of correct evaluation of the test                                            error of the expert in estimation of result of
result on the dimension of the object and the                                                performance of check on dimension of MSC and
type of group search for defects for the given                                               a kind of group search of defect for the set
restrictions on Т v and                                                                     restrictions on Т v and 




                                                                                             Figure 11: Dependences of the average recovery
Figure 9: Dependences of the probability of
                                                                                             time of the GCC on its dimension and type of
correct diagnosis on the dimension of MSC and
                                                                                             group search for the defect for the given
the type of group search for the defect for the
                                                                                             restrictions on Т v and 
given restrictions on Т v and 



                                                                                        78
     After obtaining the minimum allowable value of                            t  3 m , ty  5 m ,
 p , at which Tv  Т vd and   0.5 , according to
                                                                                n  2 , m  2 ,   2.
known methods determine MCH ME: accuracy class
(KT), the division price and the length of the scale of                       The conditional algorithm of joint group
analog ME [8–10] or the number of digits (r) digital                       search of defect is given in Fig. 12. The results of
ME. The cost of the ME will be minimal.                                    calculations are given in Table. 2.

5. Example of Application                                                  Table 2
   of the Proposed Method                                                  The results of modeling a group defect search
                                                                               Group
    The order of use of the method is considered                               defect        p              P Тv , m
on the example of the selection of ME for                                   search type
maintenance of the path R-423 [11] for the                                   Autonomic 0.989 0.150 0.950 20.00
following initial data from [7]:                                                Joint      0.967 0.383 0.786 16.23
    L  51 , Т vd  20 m ,




               1   7   8       11         12                 17


 2   3 4   5   6           9   10 13 14        15 16 18 19   20 21 22 23 2425262728 2930 31 32 33 34 35 36 37 383940 4142 43 44 45 46 47 48 49 50 51

Figure 12: Conditional algorithm of joint group search of defect

    In this case, the zone group defect search does                        also significantly reduces the cost of ME used during
not provide the required value of the recovery                             the CR of the P-423 tract.
time, because Tv  30 m . The best result is                                   The novelty of this method is a comprehensive
provided by use of joint group search of defects,                          consideration of these factors and the development of
thus in comparison with independent group search                           a new algorithm for its implementation using the new
of defects requirements to ME decrease and value                           analytical expressions obtained in the paper and the
decreases to 20%.                                                          functional dependences of maintenance MSC
    The best result of the prototype [11] provides a                       indicators on controlled variables [12–15].
joint group search for defects: p  0.995 ; P  0.911 ;
Т vd  17.3 m.                                                             6. Scientific and Methodological
    The effect of using the proposed method is to                             Recommendations for the Practical
reduce the requirements for ME ( p  0.967 instead                            Use of Research Results
 p  0.995 ), as well as to reduce the average
recovery time of MSC during CR by 6.4%                                        The method proposed in the paper should be used
( Tv  16.23 m instead Tv  17.3 m of the prototype).                      when improving the system of technical operation of
That is, the effect of the implementation of the                           existing MSC, or when creating new models, in order
method is equal to a 3% reduction in the requirements                      to meet the requirements for the average recovery
for the probability of correct assessment of the test                      time with minimal ME costs.
result. This not only reduces the recovery time, but                          Ensuring a fairly high level of efficiency of the
                                                                           State system of special communication and



                                                                      79
information protection of Ukraine is possible with a           during maintenance and current repair of special
comprehensive solution to the problems of                      communication means.
developing promising and operation of existing                     Based on the results of experimental research of
models of MSC with their appropriate technical                 the obtained scientific results, recommendations for
support with minimizing the cost of maintenance,               their practical use have been developed. It is positive
CR, and elimination of accidents and combat                    that not only the activity of specialists during the
damage. Solving this problem requires not only the             implementation of the method is formalized, but
training of specialists in the operation and repair of         software is obtained that allows the use of new
the MSC, but also the creation of the necessary                scientific results in scientific institutions during the
material and technical base, and a significant part of         modernization of existing or development of
its cost is metrological equipment (and, in particular,        promising samples of special communications for
ME). Therefore, the task of reasonable choice of the           their effective maintenance using modern
nomenclature of metrological equipment is relevant.            achievements discrete search theory in recovery.
This task is solved in order to ensure the necessary               Applying the developed method to other complex
requirements for the reliability and maintainability of        technical systems will give a correspondingly
the MSC, provided the minimum cost of metrological             different effect. The use of the method does not
equipment.                                                     require additional training of repair specialists, which
    The accepted limitations and assumptions in the            was confirmed during the experimental verification
implementation of the proposed method fully comply             of scientific results in the improvement of
with the conditions of technical operation,                    maintenance of the tropospheric communication
maintenance, CR and elimination of multiple defects            station R-423 in the 10th territorial node of
of the MSC by the staff crews of hardware or                   government communication.
hardware in the field.
    Experimental verification of the received                  8. References
methodical recommendations on the basis of the
offered method was carried out in 10 territorial nodes
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account not only the circuit and design features of the            Problems of Infocommunications. Science
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