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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>November</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>resource allocation⋆</article-title>
      </title-group>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>&amp; Management of Emergent Economy</institution>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Classical private university</institution>
          ,
          <addr-line>70B Zhukovsky Str., Zaporizhzhia, 69061</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Oles Honchar Dnipropetrovsk National University</institution>
          ,
          <addr-line>72 Gagarin Ave., Dnipro, 49000</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2023</year>
      </pub-date>
      <volume>1</volume>
      <fpage>7</fpage>
      <lpage>18</lpage>
      <abstract>
        <p>In this paper, we present a comprehensive approach to optimizing organizational capital development strategies through the application of a flexible machine learning model. We advance from initial conceptualization to the implementation stage, employing Q-leaning to enhance the selection process of the most efective organizational capital development strategies within the framework of intellectual capital. Our model aims to improve decision-making reliability by employing data-driven techniques. In the final phase of our study, we simulate various alternative strategies for organizational capital development using machine learning techniques. This simulation framework streamlines the process of exploring diferent strategic options, enabling more informed management decisions. To enhance the machine learning process, we introduce coeficients that influence decision-making, resulting in more accurate and efective outcomes. Our findings emphasize that innovative information potential is a key facet of successful organizational capital development strategies. Furthermore, our approach demonstrates the potency of integrating intellectual capital management mechanisms with other capital types. machine learning, organizational capital, strategy optimization, Q-leaning, intellectual capital manageM3E2-MLPEED 2022: The 10th International Conference on Monitoring, Modeling &amp; Management of Emergent Economy, ⋆Extended and revised version of paper [1] presented at the 10th International Conference on Monitoring, Modeling Proceedings IS Nc1e6u1r-3w-0s.o7r3g CEUR Workshop Proceedings (CEUR-WS.org) CEUR Workshop</p>
      </abstract>
      <kwd-group>
        <kwd>ment</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>In the contemporary economy, the significance of intellectual capital as a potent driver of
efectiveness is well substantiated. The notion of intellectual capital surpasses the confines of
intellectual property and intangible assets, while closely aligning with the concept of intangible
capital, a term explored in economic theory and econometrics since the 1970s [2].</p>
      <p>The work by Daum [3] provided a definition of intangible capital rooted in the
interconnectedness of structured knowledge and competencies, which bear the potential to foster development
and value creation.</p>
      <p>Leontiev [4] conceptualized intellectual capital as encompassing the value of an enterprise’s
with other entities.
control over.
collective intellectual assets, encompassing intellectual property, innate and acquired cognitive
abilities of its personnel, as well as amassed knowledge repositories and beneficial collaborations</p>
      <p>In the perspective of Roos et al. [5], intellectual capital comprises all non-monetary, intangible
resources contributing to an organization’s value generation, which it possesses full or partial</p>
      <p>Intellectual capital, by nature, poses challenges in terms of assessment and quantification
due to the intricacies of delineating its constituent elements. Yet, it can be deconstructed into
various capitals: human capital, organizational capital, and customer or consumer capital.</p>
      <p>Each facet of intellectual capital can be further delineated as follows:
1. Human capital, embodying the value contributed by employees through their skill sets,
expertise, and knowledge. This form of capital resides within individuals and can be
attributed to an organization.
2. Organizational capital comprises: technological capital; branding capital; business culture
capital; economic value added (EVA) capital; information potential innovation strategy
capital. The evaluation criteria encompass manufacturability, productivity,
innovativeness, cooperativeness, adaptability, and eficiency.
3. Customer equity, encompassing elements such as customer relationships, supplier
relationships, trademarks and trade names (whose value stems solely from customer relationships),
licenses, and franchises.</p>
      <p>This multi-faceted nature of intellectual capital engenders complexity in its assessment.
Methods for measuring intellectual capital encompass four primary categories, as posited by
Sveiby [6]: Direct Intellectual Capital Methods; Market Capitalization Methods; Return on
Assets Methods; Scorecard Methods. However, each category has its limitations that necessitate
integration with machine learning techniques. By adopting a unified machine learning algorithm,
a comprehensive mathematical model can be formulated, enhancing the precision of estimates
across all constituent elements of intellectual capital.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Results</title>
      <p>If we consider the structure of Organizational Capital (OC) as a set of its qualities and properties,
their ratios, which directly afect labor productivity, which increases the income for personnel,
the company as a whole, society, and the nation, then there is an opportunity to cover all
possible options for its evaluation.</p>
      <sec id="sec-2-1">
        <title>1. Assessment of the level of manufacturability</title>
        <p>Let’s move on to the assessment of the properties of the components of manufacturability
capital. We will use its structure, which consists in determining the share   of the  -th property
in the formation of the  -th type of components of manufacturability capital (  ), which allows
us to establish the probable level of the  -th type of manufacturability capital:

    = ∑    ∗    ,
where
    – technological capital;
   – exploitation and repair manufacturability of the structure to  item for  -th indicator
(materials, energy, labor, compatibility, etc.);
   – volatility of the injection of the  -th indicator for manufacturability of  item.
2. Capital assessment of business culture
where
   is the capital of business culture;
   – organizational and corporate culture of a certain business model of doing business
according to the  -th indicator (liberty and democracy, monoactivity of the business culture
type; polyactivity of the business culture type; reactivity of the business culture type, etc.);
   – the importance of the impact of the  -th indicator on the cultural capital of the  -th
business model of doing business.</p>
        <p>3. The eficiency capital of added economic value</p>
        <p>The productivity of the production process has a significant range of properties, the
characteristic features of which are formed and reflected by a significant network of indicators that
have branched relationships of quantitative and qualitative capital assessment of performance.
Among the important features of performance, the following should be noted:
• Activation of human heuristic abilities and structuring of discovered knowledge and
verification according to the criterion of objectivity;
• Orderliness of the communication process for the exchange of information flows, emotions,
social and individual values, economic interests;
• Formation and growth of the fundamental and market value of the enterprise as a criterion
of performance.
• Identification and elimination of dysfunctions in enterprise management, which arise
due to a malfunction.</p>
        <p>Capital assessment of eficiency of added economic value. Performance is assessed as the
level of intellectual leverage (LIL) and is calculated according to the formula:
  =</p>
        <p>△ %
△   %
where:
△ % is the rate of profit growth;
△   % is the growth rate of economic added value.
  – the degree of sensitivity of profit to changes in economic added value.</p>
        <p>
          The level of intellectual leverage shows: how many times the growth rate of economic added
value exceeds the growth rate of profit. This excess is provided with the help of the efect of
intellectual leverage, one of the components of which is its diferential (the ratio of the involved
intellectual capital to its own).
(
          <xref ref-type="bibr" rid="ref2">2</xref>
          )
(
          <xref ref-type="bibr" rid="ref3">3</xref>
          )
4. The capital of the strategy of attracting innovations of the information potential
The information capital of the strategy or the capital of the strategy of attracting innovations
of the information potential determines the trajectory of intellectual capital and the direction of
the implementation of the proposed strategy within the framework of the implementation of
innovations of the information potential, which is aimed at increasing the value of capital and
depends on the speed of updating this strategy. Informational capital and its potential act as
investment capital to maximize the value of intellectual capital:
(
        </p>
        <p>∑</p>
        <p>
          =1  

−  
−    
) → 
(
          <xref ref-type="bibr" rid="ref4">4</xref>
          )
where

 
   
 is the economic profitability of intellectual capital;
– weighted average interest rate of the involved intellectual capital;
        </p>
        <p>– the capital of the strategy of attracting innovations of the information potential.</p>
      </sec>
      <sec id="sec-2-2">
        <title>5. Capital of turning knowledge into a result</title>
        <p>The capital of the transformation of knowledge into a result declares the path of
transformations from an idea to the formalization of knowledge in oficial documents and its structuring
for communicative use [7]. Therefore, its components are the following indicators that reflect
the characteristic properties of transformations: an idea as a creative and spiritual message,
and the level of formalization of knowledge in oficial documents.</p>
        <p>An idea has its own depth of penetration into the macro or micro world [5]. Based on
Einstein’s thesis that the development of society requires the improvement of everyday thinking,
it is appropriate to consider an idea-concept as a complex of properties and relationships that
determine the characteristics of the image of the object of research. we can establish a connection
between intellectual capital (figuratively speaking, the mass of intellectual substance that is at
rest or in motion, that is, in its use) and the strategy of interaction of processes in an economic
object and its results. The question arises, does the strategy have energy? It is known that
the strategy has diferent value, that is, weight. Suppose that, like any economic potential, it
has potential energy, and when the process of its realization takes place, it also has kinetic
energy. That is, strategy is the energy of capital that goes to the realization of an idea-concept.
Therefore, it can have its own dimension. Strategy, like any energy, consists of the energy of
rest and the momentum of intellectual capital. As the speed of this impulse, we will take the
speed of the generation of an idea-concept in the direction predetermined by the strategy. To
measure images-properties, that is, the amount of intellectual substance, a unit is introduced, –
image.</p>
        <p>Any image of intellectual substance contains the same number of images-properties that
reflect the properties of the object of the real world. For example, the number of
imagesproperties that characterize a person is a constant value, a number that can be established
experimentally, as Avogadro’s number was established at one time (the principle of equivalence
in nature). But each person has a diferent number of images-relationships characterizing his
intellectual capital. This value of images-relationships, corresponding to intellectual capital,
will be assigned the unit of measurement – intel. Intel measures the level (mass) of intellectual
capital of a person, enterprise, state.</p>
        <p>The definition of images-properties is a consequence of the same type of process properties
during the realization of an idea-concept in time, which contain a certain number of these
images in one unit. We denote the number of images-properties by   :</p>
        <p>From here we can determine the amount of the level (mass) of the intellectual capital of the
economic system, which corresponds to the capital of transforming knowledge into a result:
 
=

100</p>
        <p>− 
 =</p>
        <p>where
intel / image.
criteria:
 – the number of images-properties, respectively, ideas-concepts,
  - the intellectual mass of image-properties per image-property for a specific phenomenon,
The level of an idea-concept can be represented in four quantitative measurements with
the introduction of a unit of measurement –  , which contains a certain integral number of
images-objects that characterize the properties of this very idea-concept using established
• Elementary level (household, cognitive, which does not require the formation of new
knowledge), where  = 1 .
 = 1000 = 1</p>
        <p>.
• The technological level associated with the emergence of new technologies, etc., where
• Conceptual level containing new knowledge and discoveries, where  = 1000000 = 1 =
• The planetary level is determined by the depth of penetration of human activity into the
macro and micro world, where  = 1000000000 = 1 = 1000 = 1000000
.
    
  
component of this indicator.</p>
        <p>=</p>
        <p>
          / 
this indicator.
edge of special and general scientific terms and its verification according to the criterion of
objectivity of the  -th type of the indicator of capital transformations according to the  -th
 – informativeness as a measure of usefulness. The level of structuring of
knowl– the level of orderliness of the communication process for
the exchange of information flows, emotions, social and individual values, economic interests
of the  -th type of the indicator of capital transformations according to the  -th component of
Evaluation of the capital of the transformation of knowledge into a result
   – the capital of transforming knowledge into a result;
(
          <xref ref-type="bibr" rid="ref5">5</xref>
          )
(
          <xref ref-type="bibr" rid="ref6">6</xref>
          )
(
          <xref ref-type="bibr" rid="ref7">7</xref>
          )


the indicator of capital transformations according to the  -th component of this indicator;
 – the capital level of the transformation of knowledge into the result of the  -th type of
 – the weight of the influence of the  -th indicator of transformations on the capital of the
transformation of knowledge into a result according to the  -th component of this indicator of
transformations.
        </p>
        <p>For a preliminary analysis of the capital criteria, their importance, influence on the choice of
the best alternative for the development of the properties of organizational capital, we will use
the method of hierarchical comparisons when evaluating the level of priorities of alternatives,
the results of which are shown in the table 1.</p>
        <p>△ steps into the next step, the human capital will
decide some next step. The weight for this step is calculated as  △ , where  is the discount factor,
which can take a value from 0 and 1 (0 ≤  ≤ 1 ) and has the efect of evaluating actions that are
aimed at achieving the human capital goal.  can be called the level of success in achieving the
desired state by human capital, when the investment data changes at the △ step.</p>
        <p>
          Thus, we can conclude that a function is required that will determine the quality of
combinations of the state of human capital and the action aimed at it:
(
          <xref ref-type="bibr" rid="ref8">8</xref>
          )
 ÷  ×  → .
        </p>
        <p>At the beginning of training,  is initialized, possibly with an arbitrary fixed value – 0. After
initialization, at each moment of time  , the agent selects an action, observes a reward, enters
a new state (that may depend on both the previous state and the selected action), and Q is
updated. The core of the algorithm is a Bellman [12] equation as a simple value iteration update,
using the weighted average of the old value and the new information [13]:
(  ,   ) ← (  ,   ) +  × (  +  × (
learning rate and discount factor).
where   is the reward received when moving from the state   to the state  +1 , and 0 &lt;  ≤ 1 ;
Note that</p>
        <p>(  ,   ) is the sum of three factors:
(1 − )(  ,   ): the current value weighted by the learning rate. Values of the learning rate
near to 1 made faster the changes in  ;
  : the reward   =  (  ,   )to obtain if action   is taken when in state   (weighted by learning</p>
        <p>max ( +1 , ) : the maximum reward that can be obtained from state  +1 (weighted by
Each action has its own parameters, and system changes can be limited by parameters that can
be correlated with the required resource costs to apply the action chosen by machine learning.
Thus, each iteration of training implies two possible efects:
1. Changes in the coeficient of efectiveness of the action, depending on the state that the
system acquires as a result of the application of the action.
2. Return of the iteration to the initial state due to non-compliance with the specified
restrictions for machine learning.</p>
        <p>For the application of Q-Learning, the following parameters were selected:
• Impact on the Intellectual Capital criteria
• Time spent in days
• Resource costs equivalent to monetary units
• The coeficient of the complexity of the action
• Risk ratio of failure to take action
• Inert influence on the system
• Coeficient of possibility of inert influence on the system</p>
        <p>Each action parameter is used in the calculation of the efectiveness of the action taken at
each training step. Applied properties of actions can be represented as a table of actions, which
is presented in figure 2.</p>
        <p>Thus, at each iteration, the system calculates a promising system that has already been acted
upon and recalculates the result of intellectual capital with new parameters.</p>
        <p>
          Thus, we can say that the calculation of the efectiveness of the action is carried out according
to the following formula:
where

– action eficiency;
(
          <xref ref-type="bibr" rid="ref10">10</xref>
          )
  – the cost of intellectual capital;
  + — the cost of intellectual capital after applying the action.
        </p>
        <p>So the value of  will be rewards for moving to the next machine learning state.
(  ,   ) ← (  ,   ) +  × ( +  × (</p>
        <p>However, each action additionally has a time cost parameter for performing this action, which
can optionally be included in the formula. For greater accuracy of calculations, you can use
hours, days, months or quarters. In this case, integer values of days were used.</p>
        <p>Thus, the new formula for calculating eficiency can be represented as follows:
where  – action eficiency,  is the time spent on applying the action</p>
        <p>Also, an optional parameter can be resource costs, which are presented in monetary terms.
To simplify the loads and quick calculations, all action parameters can be divided by a certain
coeficient   . In this case,   = 1000 .</p>
        <p>
          Thus, if Action 1 has a resource cost (  ) of 1300000, then the resources spent can be
represented as  and calculated by the formula:
(
          <xref ref-type="bibr" rid="ref11">11</xref>
          )
(12)
(13)
Taking into account resource costs, the action eficiency formula will look like this:
The calculation of resource costs can also include the coeficient of complexity of performing
an action (  ), which can be represented by a value in the range from 0.1 to 1.0. Thus, now the
resource costs can be represented as:
 =
  + ∗  .
        </p>
        <p>=</p>
        <p>Also, given the individuality of the systems to which actions can be applied, it is worth
considering the risks of not performing an action ( ) or its success in execution.</p>
        <p>The risk of investing in organizational capital is the possibility that the accumulated
organizational capital will not bring the expected return, will not be in demand in the market, or
will not bring the expected return. This value can be represented as a range from 0 to 1. A low
value of this coeficient means a low level of success of the action and its high risks. Given the
risk ratio, the formula for the efectiveness of action can be represented as follows:</p>
        <p>The relationship of all parameters of intellectual capital does not exclude the influence of the
development of some parameters on the possibility of developing other parameters as a result
of these actions.</p>
        <p>Thus, each action has the values of the inert development of intellectual capital and the
coeficient of the possibility of this development.</p>
        <p>Given these parameters, the formula for the efectiveness of actions can be represented as
follows:
 =    + +    ∗   ∗ , (17)</p>
        <p>where    is the value of the possible inert development of intellectual capital,   is the
probability coeficient of the development of intellectual capital.</p>
        <p>Thus, each iteration of training afects the value of intellectual capital by changing the values
of its parameters. However, it is the eficiency values of the action that are written to the
state table, not the cost of capital. Having an unlimited resource of investments, achieving the
desired value of the cost of intellectual capital had a large set of action algorithms, but given
the parameters of each of the actions, machine learning will find the most optimal algorithm
for this system.</p>
        <p>The development of Intellectual capital occurs with the choice of an alternative to which the
capital must approach as a result of learning.</p>
        <p>For more efective training and achievement of the most favorable conditions for achieving
the desired alternative, development alternatives were introduced. Development alternatives
are coeficients for each of the parameters of actions that afect the state of capital. Using the
hierarchy analysis method, the following coeficients were introduced (table 2).

  

r</p>
        <p>t
e</p>
        <p>e
c</p>
        <p>u
A</p>
        <p>S</p>
        <p>E
R</p>
        <p>B
d
e
t
a
l
e
c</p>
        <p>For this study, a risky alternative of the method of developing capital for machine learning
was chosen.</p>
        <p>Thus, each iteration of learning and applying actions to the system will afect the state table
and calculate its new values according to the following formula:
 = ( 
5)(  
  +   1
3) (   2)
+ ( 
5) (    
6) (    7)
(18)</p>
        <p>After carrying out the calculations with the initial data, the results describing the strategy
for investing in organizational capital shown in table 3.
Factor of importance of action properties for learning.</p>
        <p>1
0.31

 2
0.2
 
 3</p>
        <p>It should be noted that the coeficients of capital alternatives and development alternatives
afect value preferences and spending.</p>
        <p>The first stages of training provide impressive indicators of cost optimization for investment
in organizational capital. With an increase in training cycles, obtaining a better result becomes
more rare.</p>
        <p>The data in the table 4 and in the figure 3 show optimization costs of developing organizational
capital to achieve the cost of organizational capital, taking into account the chosen alternative.
It can be concluded that in order to achieve the best results, it is necessary to conduct a suficient
number of training cycles.</p>
        <p>Thus, after each stage of learning new indicators, alternatives should be identified and
calculations should be made that determine subsequent investments in human capital. It
should also be borne in mind that each the alternative has its own characteristic features and
characteristics, behavioral connections and influence on the choice of options capital investment.</p>
        <p>Taking into account the dynamics of changes in results, it can be concluded that subsequent
training cycles can bring more optimized costs. Figure 4 shows the optimization of the costs of
organizational capital development, taking into account the same level of organizational capital
development.</p>
        <p>It is also worth noting that when the input data changes, machine learning will be able to
rebuild and generate calculations and optimize the result better and faster than a person.</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Conclusions</title>
      <p>The study presents a conceptual framework for the application of Q-leaning to ascertain the most
efective developmental strategy for organizational capital within the context of intellectual
capital. This approach aims to bolster the reliability of the outcomes achieved.</p>
      <p>As a result, the strategy’s capital for fostering information potential innovations and the
capital of alternatives independently undertake pivotal roles in shaping and implementing
mechanisms for managing intellectual capital, both in conjunction with and separately from
other capital types.</p>
      <p>The crux of this approach lies in the judicious selection of significance indicators (returns)
for contributions to various organizational capital facets, driving iterative learning cycles. Such
an approach streamlines the exploration and formulation of organizational capital development
strategies, opening pathways to genuine alternatives and simplifying decision-making processes.</p>
      <p>Notably, tuning training by altering parameters such as reward magnitude, data optimization
value, and training constraints can yield superior outcomes by accelerating training processes
and furnishing a more proficient AI capable of delivering enhanced results.</p>
      <p>Leveraging machine learning to optimize costs linked with organizational capital development
stands as the most efective method. The advantages of swiftness, objectivity, and adaptability
to external shifts distinguish this approach from human-centric alternatives.</p>
      <p>To bolster outcomes, fine-tuning of these actions and precise selection of alternatives for
action-based choices are deemed essential.
2020, volume 2713 of CEUR Workshop Proceedings, CEUR-WS.org, 2020, pp. 1–20. URL:
https://ceur-ws.org/Vol-2713/paper00.pdf.
[12] R. Bellman, Dynamic Programming, Princeton University Press, New York, 1957. URL:
https://www.gwern.net/docs/statistics/decision/1957-bellman-dynamicprogramming.pdf.
[13] C. J. C. H. Watkins, P. Dayan, Q-learning, Machine Learning 8 (1992) 279–292. doi:10.
1007/BF00992698.</p>
    </sec>
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