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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Strategy and Tactics of International Intellectualization of Economic Relations Digitalization and</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Nestor Shpak</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Kateryna Doroshkevych</string-name>
          <email>kateryna.o.doroshkevych@lpnu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Yuriy Shpak</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Ihor Salata</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Marharyta Sharko</string-name>
          <email>mvsharko@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Lviv Politechnik National University</institution>
          ,
          <addr-line>St. Bandery str, 12, Lviv, Ukraine, 79013 Hetman Petro Sahaidachnyi National Army Academy, 32 Heroes of Maidan street, Lviv</addr-line>
          ,
          <country country="UA">Ukraine</country>
          ,
          <institution>79026 Kherson National Technical University</institution>
          ,
          <addr-line>Beryslavske sh., 24, Kherson, 73008</addr-line>
        </aff>
      </contrib-group>
      <abstract>
        <p>The article studies the strategy and tactics and examines the relationship between concepts based on such properties as priority, time period of action, essential affiliation, etc. Given the nature of the established relationships, a number of tactical approaches can be formed and implemented within the chosen strategy. In order to select them, the elements of the suffix tree method are used in the following order: definition of attributes (features) of the selected strategy and formation on their basis of the array T; detection of suffixes (Т[i..,n]) of an array of data of length n, the essence of which determines the strategy, namely the array T; construction of a suffix tree; selection of tactical approaches, moving from the root of the suffix tree to any of its letters ending in $. The practical implementation of the formed method made it possible to identify tactical approaches to digitalization of the economy.</p>
      </abstract>
      <kwd-group>
        <kwd>1 strategy</kwd>
        <kwd>tactics</kwd>
        <kwd>tactical approaches</kwd>
        <kwd>digitalization</kwd>
        <kwd>intellectualization</kwd>
        <kwd>suffix tree</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>In modern economic conditions, characterized by dynamic changes in the external environment of
the impact on enterprises and its complexity due to the processes of globalization and
internationalization of the world economy, the development of science, technology, information
technology, there is an intensification of information flows and processes as well as the growing
importance of information support of the company and the economic system in general. At the same
time, strategic activity planning, which involves the formation of business strategy and a number of
tactical approaches, has a significant impact on the performance of the enterprise (types of economic
activity, national economy) and its efficiency, as it provides goal-oriented and coordinating activities,
focusing on solving major problems in current and future activities.</p>
      <p>In these conditions, significant importance is attached to the strategic aspects of digitalization and
informatization, technical support of communication processes, generating decisions on volume,
location and forms of existence of information etc. At the same time, tactical approaches to the
implementation of the strategy and the process of their formation remain insufficiently studied. This
reduces the effectiveness of strategic planning and the effectiveness of the economic system and its
development in the long run.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Related Works</title>
      <p>
        &amp; Dunska A. R., Tymofeyev V. M., Mardus N. Yu., Ruban V. M., Saviczka N. V., Kolomiyecz O. L.,
Goloven O. V., Klopov I. O., Goryelov D. O., Bolshenko S. F., Levchenko M. O., Kalnyczka M. A.,
Gangur O. Yu., etc. [
        <xref ref-type="bibr" rid="ref1 ref10 ref11 ref2 ref3 ref4 ref5 ref6 ref7 ref8 ref9">1-11</xref>
        ]. Thus, Usachova I. D. and Dunska A. R., studying the processes of foreign
economic activity planning, they rely on the fact that "tactics are the setting of tactical short-term
goals and the development of short-term plans, which determine the set of practical methods needed
to achieve the goals" [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. At the same time, the essence of the strategy is not specified by the authors,
but the process of its formation is considered as a multidimensional concept.
      </p>
      <p>
        Tymofeyev V. M. and Mardus N. Yu. cite a number of differences between the concept of strategy
and tactics, which can be summarized in the statement that strategy has a systemic nature, which is
manifested in action at intersystem levels, and tactics – situational nature of the action in the middle
of each individual element of the system [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. The authors also point out the different time periods for
which the strategy and tactics of the enterprise are developed. The strategy is aimed at periods of
more than a year, and tactics are formed in order to achieve a specific goal and benefit in the short
term [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ].
      </p>
      <p>
        Ruban V. M. points out that tactics are specific short-term strategies [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. Thus, the author identifies
the essential meaning of the concept of strategy and tactics and distinguishes them only depending on
the time factor. The authors Saviczka N. V. and Kolomiyecz O. L. similarly explain the difference
between the strategy and tactics of the enterprise, noting that the tactics cover short-term goals of the
enterprise and ways to achieve them. However, the authors also point out that in the process of
tactical management is the implementation of tactical goals of the enterprise, which should be formed
in such a way that in the process of achieving them to ensure the implementation of the chosen
strategy of the enterprise [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ].
      </p>
      <p>The time factor is also decisive in the work of Sorvina O. V. Taking into account the time period
of management decisions for which they are developed, and the speed of achieving the target values
of the established benchmarks in the activity, the author identifies strategic and tactical management
of production costs of the enterprise.</p>
      <p>
        Tactical solutions allow: to implement short-term plans; to achieve short-term goals in the field of
production cost management of the enterprise [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ].
      </p>
      <p>
        The concept of tactical management is also developed in the work of Goloven O. V. and
Klopov I. O., who see the relationship between strategy and tactics of the enterprise in the following.
Within the strategy of enterprise development, management tactics are formed, which provides for the
solution of certain medium-term problems, which is necessary to achieve the strategic goals of the
enterprise [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. According to Rassadnykova S. I. tactics are "short-term and adaptive actions to achieve
long-term strategic goals". According to the author's definition, the tactics of greening investment
activities are a set of short-term and adaptive means of influencing the progress of greening processes
in order to implement the strategy at the appropriate stages [13]. Korotaeva E. considers tactics as the
closest interactions between subjects of pedagogical process, and strategy, as a perspective for the
development of a position by subjects of the pedagogical process [14]. According to Solov'ev V. I.,
the strategy includes decisions on the choice of business model by the firm, and decisions on activities
within the chosen business model are considered tactical [15]. Therefore, it is obvious that tactical
approaches are aimed at achieving short-term goals of the enterprise.
      </p>
      <p>Competition tactics (competitive actions of the enterprise) means a set of competitive actions used
by market participants for a limited period of time when interacting with specific rivals to solve a
certain range of internally related tasks for the use of competitive potential and achieve the desired
competitive results. Rubin Yu. B. consider the tactics of competitive action as one of the components
of the tactics of enterprise management. At the same time, other components are: investment tactics,
tactics of accounting and use of profit, production tactics, innovation tactics, personnel development
tactics, production and sales tactics [16].</p>
      <p>
        According to Goryelov D. O. and Bolshenko S. F., the main components of planning and
implementation of enterprise strategy are tactics, policies, procedures and rules [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. The authors see
the essence of tactics in the process of developing short-term plans that are consistent with the
company's strategy. In our opinion, tactics should not be considered a process as a set of actions that
lead to the desired result, because in the process of planning the activities of the enterprise should also
ensure the formation and selection of administrative levers. Regarding the components of the
management process, Zhirkina N. I. emphasizes the importance of defining the strategy and tactics of
the bank's development in order to determine its ability to lend to customers and develop the bank's
business activity in the market [17].
      </p>
      <p>Gradov A. P. carried out strategic, tactical and sub-tactical classification of tasks for the formation
of competitive advantages of enterprises, which did not provide for the existence of policies, rules and
procedures in the system of administrative levers of the enterprise. According to the author, such an
in-depth classification of the nature of the components and sources of competitive advantage allows
you to develop many necessary actions that can be combined into a targeted comprehensive program
of competitive advantage [18].</p>
      <p>At the tactical level, the knowledge management process includes the following stages: gathering
information based on methods of effective information retrieval; use of information that contributes to
the creation of an environment in which a creative approach to work is supported, generation of new
ideas, etc.; staff training, which includes the organization and implementation of training in the
management process; dissemination of knowledge, which is to involve employees in the
dissemination of their knowledge and transfer them to the general knowledge fund of the enterprise
[19].</p>
      <p>
        We think that the opinion of Levchenko M. O. is valid that for the implementation of the strategic
course of management at the enterprise should develop tactics [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. Kalnytska M. A. and
Gangur O. Yu. consider the management strategy as areas of enterprise development to achieve the
mission of its operation, and tactics - as ways and stages of movement within this area (strategy) [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ].
      </p>
      <p>Strategic links are defined in the development of a system of stochastic models of enterprise
management based on artificial intelligence in work of Kwilinski A. and Kuzior A. [20]. At the same
time, strategy and tactics are integral components of enterprise planning processes. As noted by
Gorban S. I., the motive for the implementation of agreements on mergers / acquisitions of enterprises
becomes the basis for the formation of market behavior of the organization. The entity may change
this motive in accordance with the adopted strategy and tactics of the organization, but in this case it
may not meet the scope of the agreement and lose his job [22].</p>
      <p>
        Most authors also argue that strategic planning is the responsibility of senior managers of the
enterprise, and the development of tactics is the prerogative of middle and lower managers [
        <xref ref-type="bibr" rid="ref10 ref2 ref9">2, 9, 10</xref>
        ].
The same opinion was expressed by H. Mitzberg, who pointed out that some actions from the
standpoint of senior management of the company can be considered as a tactic, while for the head of
marketing they will be considered a strategy, because their success depends on the success of his
department [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ].
      </p>
      <p>
        The most careful description of the common features and differences of strategy and tactics was
made by I. S. Folomkina, considering the essence of tactics, its features and relationship with strategy.
According to the author, there are a number of significant differences between strategy and tactics:
tactics contain actions of implementation the company's strategy, which indicates its organizational
nature; components of tactics are practical methods and techniques of management, which indicate,
that the tactics are aimed at using resources to achieve strategic goals; tactical decisions are detailed
and the strategy is conceptual in its nature [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ].
      </p>
      <p>Thus, despite the need for effective implementation of the developed strategy, the tactics of
enterprises remain insufficiently studied. In particular, the relationship between strategy and tactics of
enterprises needs to be further studied, which will ensure the choice of tactics embodied in the
methods of strategy implementation (practical actions, management methods, etc.).</p>
      <p>The tactics of the enterprise are a logical continuation of its strategy. It is developed for short
periods of up to a year in order to implement the strategy. Thus, tactics are a means of implementing a
strategy that uses management methods, various ways of managerial influence, which ensure the
implementation of strategic goals based on the use of enterprise resources, knowledge, skills,
information etc. Within the chosen strategy it is possible to form and implement a number of tactical
approaches, the choice of which is entrusted to managers of all levels of management. At the same
time, in the process of implementing tactics through feedback channels, the strategy may be refined.
The relationship between strategy and tactics is summarized in Table 1.</p>
      <p>In order to choose tactics based on the formed strategy, we recommend using the elements of the
suffix tree method. Suffix tree is a method of saving an array of data in the form of a tree, which
allows you to search for the necessary messages (information) that are part of the array [23, 24].</p>
    </sec>
    <sec id="sec-3">
      <title>3. Methods</title>
      <p>The essence and scope of the suffix tree we have considered above. Recall that the  −  ℎ suffix of
the array (text series) T is a suborder (element).</p>
      <p>Т5, Т6
Т6.</p>
      <p>Т3, Т4 $</p>
      <p>Т[3. . ]$
$</p>
      <p>The entire text array T consists of a set of suffixes of length n. In order to form a system of tactical
approaches of enterprises using elements of the suffix tree method, we adopted a text series of
attributes of digital strategy as an array of T.</p>
      <p>For example, if T = "digital strategy $", then we define its main attributes as "stimulating the
economy, attracting investment, overcoming digital inequality, deepening cooperation with the EU in
the digital sphere, development of the country's innovation infrastructure, digital transformation"
[2729, 32].</p>
      <p>Thus, the array T = "stimulating the economy, attracting investment, overcoming digital
inequality, deepening cooperation with the EU in the digital sphere, development of the country's
innovative infrastructure, digital transformations $", its suffix 0 is "stimulating the economy,
attracting investment, overcoming digital inequality, deepening cooperation with the EU in the digital
sphere, development of the country's innovative infrastructure, digital transformations $", and the
suffix 6 "digital transformations $" (sixth level of indexation). Since the digital strategy has 6
attributes (stimulating the economy, attracting investment, overcoming digital inequality, deepening
cooperation with the EU in the digital sphere, development of the country's innovative infrastructure,
digital transformations), the suffix tree will contain no more than n = 7 letters (suffixes). All inner
vertices of the suffix tree (including the root vertex, if it is an inner vertex) are always branched, so
there can be no more than 5 (n-1) such vertices. The $ sign indicates the completion of the elements
on the appropriate leaf of the suffix tree. This can be seen from the equation described above, where:
Т( ) = $, (1)
where $ - less than the attribute of the elements of the array.</p>
      <p>Thus, the maximum number of vertices in the suffix tree = 7 (n leaves) + 5 (n-1) inner vertices =
11 (2n-1) = O (n) vertices (equal to 11). Since the suffix tree is a tree, the maximum number of edges
in the suffix tree is also 10 ((2n-1) -1) = O (n) -1 edges.</p>
      <p>Using the rules above, it is possible to perform a number of operations:
1. Construction of the suffix tree of the array T, which is a text set of attributes of the digital
strategy.
2. Perform search operations: find the top of the suffix tree, the longest line of digital strategy
attributes; find the longest repeating suborder (LRS) - the deepest inner vertex that separates the
common prefix between two (or more) suffixes T; find the longest common suborder (LCS) - the
deepest inner vertex that contains suffixes from two different original lines.
3. Search for elements of an array - a suborder (text series of attributes of a digital strategy),
using the appropriate algorithms.</p>
    </sec>
    <sec id="sec-4">
      <title>Results and Discussion</title>
      <p>where «
Table 2.</p>
      <p>In order to construct a suffix tree, we use an online algorithm developed in 1992 by E. Ukkonen
[30]. This is one of the possible algorithms for constructing a suffix tree, which was formed on the
basis of the first proposed algorithm of the suffix tree developer P. Weiner and the left-right
algorithm, which was developed by McCreight E. [31].</p>
      <p>When applying the algorithm, the suffix array receives the appropriate order, which we will
consider on the example of digital strategy. For its application we will present an array of attributes of
digital strategy as one word consisting of the first letters of the attributes outlined by us:
Т( ) = « »$, (2)
»$ – coded elements of the array (text series), the content of which is disclosed in</p>
      <p>Next, we use the obtained suffixes of the digital strategy to build tactical approaches to
digitalization
of
the
economy
through
an
online
modulator,
located
at
http://www.allisons.org/ll/AlgDS/Tree/Suffix/. The obtained results are displayed using Fig. 2.
data.
where 
subline.
described by the equation:


Rank (i)
p-1
p
…
 ′
…
 ′</p>
      <p>This result in the formation of the suffix tree for the digital strategy (Fig. 2) allowed to reach that
the applied approach involves determining the level of the array of values inherent in a number of
According to the method of Kasai et al., the level (rank) can be determined by the formula [21]:
( ) = 
( 
( ,  ) - the longest common prefix of the suffixes specified in positions  and  of the
Algorithm of Kasai et al. involves the use of the inverse suffix array 
, which can be
[</p>
      <p>Therefore,</p>
      <p>[ ] =  , which means the presence of rank j in the suffix   . At the same time,</p>
      <p>[ ] =  . That is,  − is the suffix of the lowest rank   .</p>
      <p>Assuming that, Р = 
calculated as: 
( ) = 
[ ], then rank   depends on its predecessor in the substring and can be
( 
,  
[ ]) = 
(  ,   ), where  = 
( −1).</p>
      <p>This summarized on the basis of the method of Kasai et al. [21] in Table 3.</p>
      <sec id="sec-4-1">
        <title>Example of calculating ranks for the inverse array P</title>
      </sec>
      <sec id="sec-4-2">
        <title>Substring (</title>
        <p>)</p>
        <p>Calculation
(3)
(4)

i
…
k+1
…
i+1
 ′ = 
 = 
[
 = 
[
…
[
..
 ′ =  
The obtained results indicate possible tactical approaches to digitalization of the economy:
Tactical approach 1: attracting investments, overcoming digital inequality, deepening cooperation
with the EU in the digital sphere, development of the country's innovative infrastructure, digital
transformations;</p>
        <p>Tactical approach 2: deepening cooperation with the EU in the digital sphere, development of the
country's innovative infrastructure, digital transformations;</p>
        <p>Tactical approach 3: development of the country's innovative infrastructure and digital
transformations;</p>
        <p>Tactical approach 4: overcoming digital inequality, deepening cooperation with the EU in the
digital sphere, development of the country's innovative infrastructure, digital transformations;</p>
        <p>Tactical approach 5: stimulating the economy, attracting investment, overcoming digital
inequality, deepening cooperation with the EU in the digital sphere, development of the country's
innovative infrastructure, digital transformations;</p>
        <p>Tactical approach 6: digital transformations.</p>
        <p>By using the Internet service, the possibility of manually constructing a suffix tree (detailed and
express method) is indicated, which provides for the application of the conditions provided in [30].</p>
        <p>Consider them in detail:
1. If "X" is a substring of txt, then "X" must be located in the suffix tree. The location is found
by tracking the "X" characters from the root of the tree.
2. The substring x = txt [L..R] has a definite length, which can be represented as (L, R).
3. If "V" is the vertex of the suffix tree, then the pair "V, X" is equivalent to V [L..R], which
reflects the state (location) in the suffix tree found by tracking the characteristics of the symbols X
with V.
4. It is possible to create special peaks "lowlands".</p>
        <p>5. The vertex (node) of the suffix tree is called its explicit state.</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>Conclusions</title>
      <p>In order to ensure the intellectualization and information of economic relations, it is important to
intensify goal-oriented and coordinating activities, which are implemented in the process of strategic
planning. Ukraine’s digitalization strategy envisages the elimination of barriers to Ukraine’s digital
transformation in the most promising areas. It will be done by stimulating the economy and attracting
investment, overcoming digital inequality, deepening cooperation with the EU in the digital sphere as
well as building the country's innovation infrastructure and digital transformation. According to the
established dependencies, tactics are a logical continuation of the strategy, which is developed for
short periods of up to a year. The implementation of tactical approaches uses management methods,
various ways of managerial influence, which ensure the achievement of strategic goals on the basis of
the use of resources, knowledge, skills, information etc. However, tactical approaches to digitalization
and intellectualization of economic relations are not clearly defined.</p>
      <p>In order to select them, the elements of the suffix tree method are used in the following order:
definition of attributes (characteristic features) of the selected strategy and formation on their basis of
the array T; detection of suffixes (Т[i..,n]) of an array of data of length n, the essence of which
determines the strategy, namely the array T; construction of a suffix tree; selection of tactical
approaches, moving from the root of the suffix tree to any of its letters ending in $.</p>
      <p>As a result of the use of elements of the suffix tree method, by online modulation have been
formed 6 tactical approaches to digitalization of the economy: 1. Stimulating the economy, attracting
investment, overcoming digital inequality, deepening cooperation with the EU in the digital sphere,
development of the country's innovation infrastructure, digital transformations; 2. Attracting
investments, overcoming digital inequality, deepening cooperation with the EU in the digital sphere,
development of the country's innovation infrastructure, digital transformations; 3. Overcoming digital
inequality, deepening cooperation with the EU in the digital sphere, development of the country's
innovative infrastructure, digital transformations; 4. Only the development of the country's innovation
infrastructure and digital transformations or together with the deepening of cooperation with the EU
in the digital sphere; 5. Development of the country's innovation infrastructure and digital
transformations. 6. Digital transformations.
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