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 [1] M. Vladymyrenko, et al., Analysis of of the governmental communication and the State Implementation Results of the Distributed research institute of Special communication. 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