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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Assessment of The Level of Value Assurance for IT Project Stakeholders</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Department of Technology management</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Project Management Kyiv National University of Construction and Architecture Kyiv</institution>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>President Project Management Association, Japan and PM Advocate of JGC Corpn</institution>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Taras Shevchenko National University of Kyiv Kyiv</institution>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <fpage>0000</fpage>
      <lpage>0002</lpage>
      <abstract>
        <p>Focusing on stakeholder's values is a key requirement when IT innovative projects are implemented. Stakeholders decide to participate in the IT project, in case that the IT project results are aimed at ensuring their values. By participating in the IT project, the stakeholder knows his resources in exchange for the IT project products that will be created in the course of its implementation. In this case, the value of the resources given by the interested party must be lower than the value of the products it receives. Such an exchange provides the stakeholder with a steady increase in the level of satisfaction and the provision of priority values. As in the course of the project implementation, there is an exchange of stakeholders' resources and products of the IT project to describe them, the general concept of an artifact was introduced. To ensure the complexity of the approach, both material and intangible artifacts were considered. Building an IT project model, the project management team identifies stakeholders who have a sufficient inventory of artifacts to share effectively. Given that a variety of stochastic processes can affect the progress of the IT project, the IT project management team should monitor the level of homeostasis in the project model. Ongoing analysis of the level of satisfaction of project stakeholders ensures that conflict situations are avoided, which can lead to the loss of the stakeholder and the termination of the IT project.</p>
      </abstract>
      <kwd-group>
        <kwd>value-oriented approach</kwd>
        <kwd>homeostatic approach</kwd>
        <kwd>stochastic approach</kwd>
        <kwd>project artifacts</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        Description of the Problem, Goals, and Objectives of the
Study
Value orientation is a core feature of innovative IT projects. At the same time,
practical tools that work with IT project values are formed to a greater extent by
expert evaluation of stakeholder representatives. Subjectivity, which is a key feature
of expert appraisal methods, causes project managers to have low confidence in their
results. The inconsistency of the results of different methods is also a negative factor,
which is also related to the subjectivity of expert judgment[
        <xref ref-type="bibr" rid="ref3">1-3</xref>
        ].
      </p>
      <p>The practical use of stakeholder valuation techniques is only possible if there are
clear conclusions and recommendations on the quality of project planning and
implementation. This task is quite important, so the question of using a value
approach in project planning and management was explored by such well-known
scientists as S. Bushuev, V. Oshurkov, V. Makashova, V. Malokanova.</p>
      <p>In a number of studies that have been analyzed, the value approach is used to form
a strategic plan for the organization's development, combining strategic plans of the
organization with the development of Its IT infrastructure [4,5]. The concept of values
is also seen as a tool for decision making in projects of various types [6-8]. In
addition, the possibility of building a common model of the organization's values and,
according to this model, of filling the project portfolio, is being considered. [9-11].</p>
      <p>The above studies do not sufficiently address the process of changing the level of
stakeholder value in the exchange of products and resources between IT project
stakeholders and the management team. Also considered are the approaches to
dynamic decision-making while changing the priority level of stakeholder values.</p>
      <p>The purpose of the study is to identify methods for assessing the level of
satisfaction of stakeholders and ensuring their values.</p>
      <p>Research objectives:
1. Formalization of IT project's stakeholders and values that will be provided as a
result of IT project implementation.</p>
      <p>2. Formalization of products and resources of project stakeholders that are created
and used for IT project implementation.</p>
      <p>3. Description of methods for assessing the satisfaction of IT project stakeholders.
4. Description of methods to assess the level of stakeholder value assurance as a
result of the IT project [12-17].
2</p>
      <p>First IT Project Stakeholders and Their Values
Depending on the type of IT project and the methodology used, different types of
stakeholders are distinguished for its implementation. Different types of stakeholders
are classified by the level of impact on the IT project.</p>
      <p>We will describe mathematically the list of IT project stakeholders as follows:
 = { 1, … ,   }, (1)
where  – the list of IT project stakeholders,
  – g IT project stakeholders,
g – the number of IT project stakeholders.</p>
      <p>The number of IT project stakeholders may change during the IT project
implementation, as well as the stakeholder parameters.</p>
      <p>For example, a user group can be divided into territorial groups and groups of
devices they use.</p>
      <p>Here is a mathematical description of the parameters that describe the project
stakeholders:</p>
      <p>= 〈  ,   ,    〉 (2)
where   – the list of g-stakeholder values,
  – the priority of the g stakeholder of the IT project,
   – the indicator of satisfaction with the g stakeholder value of the IT project.</p>
      <p>The importance of stakeholder involvement in the IT project is determined by the
products that the stakeholder intends to receive and the resources that he or she is
prepared to contribute to the IT project. To quantify the importance of stakeholder
involvement in the IT project, we introduce the parameter - stakeholder priority.</p>
      <p>Stakeholder priority is an indicator that reflects how important it is for the IT
project management team to engage that particular stakeholder. The priority of other
stakeholders depends on the value of the resources they provide to fulfill the tasks of
the higher priority stakeholders.</p>
      <p>The value, in this research, is a general concept that reflects the stakeholder's
attitude to various aspects of the development and further operation of an information
system. Examples include the following values: speed of information processing,
completeness of the information presented, ease of use of the system, etc.</p>
      <p>Stakeholder value will be understood as a formalized description of the needs of
the stakeholder represented by the parameters of qualitative assessment of the
subjective attitude of the stakeholder to the individual elements of the external
environment. The list of values of different stakeholders is different, and different
stakeholders may have the same value in their list. The list of stakeholder values is
mathematically described as follows:</p>
      <p>= {  1, … ,   }, (3)
where   – i value of g stakeholder,</p>
      <p>1 – the first value of g stakeholder.</p>
      <p>The complexity of dealing with stakeholder values is that they are described by
qualitative parameters that are subjectively defined. For example, a parameter such as
the speed of information of the system can be described by such parameters as high,
medium and low. The subjectivity of values is explained by the fact that decisions are
made by a person or group of people who are representatives of the stakeholder. The
stakeholder may change their attitude to value as a result of external factors. There are
two parameters to describe the stakeholder relationship to value in this study: priority
and value assurance.</p>
      <p>= 〈  ,    ,    〉,
(4)
 
  
  
∑  = 1,


stakeholder,   
– the indicator of the level of security of the lth value for the g
– the list of indicators of l value for g stakeholder in the project
Value Priority determines the stakeholder relationship to value. The priority
indicator can take values from zero to one. Mathematically, we describe this condition
as follows:</p>
      <p>The security level is the parameter that determines the satisfaction level of the
stakeholder. The parameter can take values from one to zero.</p>
      <p>Determine the value of the level of security using the indicator of the impact of
tangible and intangible resources owned by the interested party. To calculate this
indicator, we find the sums of the level of influence on the value of the stakeholder of
all tangible and intangible resources of the stakeholder, taking into account the rate of
reduction of the impact of resources on the value.</p>
      <p>It is possible to calculate the level of l value assurance for g stakeholder using the
where
–
the
priority
of
l
value
for
g
stakeholder,
 = 0̅̅,̅1̅,
(5)
(6)
(7)</p>
      <p>The calculated value assurance metric can take values from zero to one. The
maximum value of this indicator is one, while the value is fully ensured and any
project products are not of interest to the interested party. The minimum value is zero,
with the value of any product of the project providing this value that will satisfy the</p>
      <p>The list of value metrics contains many metrics that describe the value of the
stakeholder. Mathematically, we describe the list of value description metrics as
– the rate of influence change of j intangible artifact of resource of l value
  
= {   1, … ,</p>
      <p>},</p>
      <p>=
∑
– the priority of r indicator of l value for g stakeholder, 

(8)



result of the IT project product creation tasks are transferred as resources to other IT
project stakeholders.
its implementation.</p>
      <p>Artifacts will mean financial, tangible and intangible elements of the world that are
of value to stakeholders and can be a product of the IT project or used as resources in
IT project artifacts are divided into:
•
•</p>
      <p>Material artifacts are tangible products or resources, including financial, that
are used or created in the course of an IT project. An example of a material artifact
could be the premises where the development team works, equipment, facilities, etc.
A tangible artifact is transferred from one stakeholder of an IT project to another.</p>
      <p>Intangible artifacts are artifacts carried by an information product created in
an IT project or an information resource used in its implementation. Examples of
intangible artifacts include ownership of the information system, information
regarding the use of the system, description of potential users of the system, etc.</p>
      <p>By participating in the IT project, the stakeholder expects to receive artifacts that
will increase the level of security of its priority values. Stakeholder involvement in
the project is possible through the exchange of artifacts owned by them into artifacts
created in the IT project. For further analysis, it is necessary to divide artifacts into
two sets: resource artifacts and product artifacts.
3.1</p>
      <p>Material Artifacts Resources
A tangible artifact resource is a financial or material resource owned by an interested
party that can be used to implement a project.</p>
      <p>When a material resource artifact is transferred to a project, its impact on the
values of the transmitted stakeholder is no longer taking place.</p>
      <p>The list of material artifacts of resources is mathematically described as follows:
 
= { 1 , … ,</p>
      <p>},
– the material artifacts list of project resources,
  1 - l material artifact is a project resource,
n –number of material artifacts of project resources.</p>
      <p>We describe mathematically the material artifact project resource:
 
= 〈  
,   
,   
,   
,  
〉,
(9)
(10)
(11)
(12)
(13)
artifact of a resource on the values of the interested party.</p>
      <p>The parameters list that describe the material artifact resource is a set of indicators
that have both quantitative and qualitative forms of description. Mathematically, we
describe the parameters of the material resource artifact as follows:</p>
      <p>–r indicator of n material artifact of the project resource,
r – the number of indicators of h material artifacts of project resources.</p>
      <p>The indicator contains values that describe in qualitative or quantitative terms. We
will describe mathematically the material artifact indicator of the project resource as
  
= {  1 , … ,</p>
      <p>},
 
= 〈</p>
      <p>〉,
where  
where   
 

 

 
where</p>
      <p>where
  





resource on the stakeholders’ values,</p>
      <p>= ̅0̅,̅1̅,
– the parameters list describing the nth material artifact resource,
– the indicators list of the influence level of the nth material artifact of a
– the attraction period of n material artifact of the resource,
– the indicators list of changes in the influence level of the nth material
– the value of r indicator of n material artifact of the project resource.</p>
      <p>The indicators list of the influence level on the stakeholders’ values is a set, each
value of which reflects the influence level of material resource artifact on the values
of each stakeholder.</p>
      <p>The next formula can be used for the value calculation of an indicator of the
influence level of the resource material artifact on the stakeholder's value:



=
∑ 







− (|</p>
      <p>−  



|)
,
– the value of r indicator of nth material artifact of the project
when the resource will be invested in the project product creation task.</p>
      <p>The indicators list of change in the impact level on the stakeholders’ values is the
matrix, which lists the individual values of indicators of reducing the impact of
material resource artifact on each stakeholders’ value.
3.2</p>
      <p>Intangible Artifacts Resources
The peculiarity of the intangible resource is that when it is transmitted by the
interested party to the IT project, the impact on the values does not cease. This is due
primarily to the fact that the intangible artifact resource is an information product that
can be copied and transmitted to any number of IT project stakeholders.</p>
      <p>Intangible Artifact Resource (NAR) is information or other intangible resource
owned by a stakeholder that can be used to deliver an IT project.</p>
      <p>The next formula is the mathematical description of the intangible artifacts list of</p>
      <p>= { 1 , … ,  ℎ },
 1 – l intangible artifact of the IT project,
  – the intangible artifacts list of the IT project,
h – the number of intangible artifacts of IT project resources.</p>
      <p>We describe the mathematically intangible artifact IT project resource:
 ℎ
= 〈 ℎ ,  
ℎ
,  ℎ ,  ℎ</p>
      <p>ℎ 〉,
resource on the stakeholder’s values,  ℎ
– the parameters list that describe h intangible artifact resource,
– the indicators list of the influence level of h intangible artifact of the
– the attraction period of h intangible artifact of the resource,
– the indicators list of change in the influence level of the h-intangible
artifact of the resource on the stakeholder’s values.</p>
      <p>ℎ</p>
      <p>= { ℎ1 , … ,  ℎ },</p>
      <p>The parameters list that describe an intangible artifact resource is a set of metrics
that have only a qualitative description form. It is presented the parameters list
mathematically described as an intangible resource artifact below:
where
 ℎ –r indicator of h-intangible artifact of IT project resource,</p>
      <p>– the number of indicators of h intangible artifacts of IT project
resources:
where
where  ℎ
 ℎ
 ℎ
 ℎ
resources.
resource.
(14)
(15)
(16)
(17)
(18)
The metric contains the value that is described in qualitative or quantitative terms.</p>
      <p>The indicator of an intangible artifact of an IT project resource can be described:
where</p>
      <p>ℎ – the value of r indicator of h intangible artifact of the IT project
The indicators list of the impact level on an intangible artifact resource is a matrix,
which shows indicators from zero to one that determines the impact level of the
resource on the stakeholders’ values. The value calculation of the indicator of the
influence level of intangible artifact of the resource on the stakeholder’s value is
carried out by the following formula:</p>
      <p>ℎ = 〈 ℎ 〉,






− (|  


−  
 |)
where
follows:
where</p>
      <p>- the value of j value of l value for g stakeholder,
– the value of r indicator of n intangible artifact of the IT project
in the impact of the artifact on each IT project stakeholder value.</p>
      <p>m – the number of material artifacts of the products that are formed during
the IT project implementation.</p>
      <p>= 〈 

,</p>
      <p>,   
The mathematical material artifact of the IT project product is described as:
artifact on the stakeholder’s value,  
product artifact on the stakeholder’s value.</p>
      <p>– the parameters list of m material product artifact,
– the indicators list of the influence level of m material product
– the receipt period of m material artifact of the product,
– the indicators list for reducing the impact level of m material
A tangible product artifact is a product that is intended to be obtained as a result of the
IT project's product creation tasks. The peculiarity of the material artifact of the
product is the presence of quantitative values of the parameters that describe the
product. The values of these parameters do not include the subjective attitude of the
stakeholders towards the material artifact of the IT project product.</p>
      <p>A tangible product artifact (TPA) is a financial or tangible product of an IT project,
which is formed</p>
      <p>when the task of creating an IT project is completed and
communicated to the IT project stakeholders.</p>
      <p>The mathematical description of the IT project product artifacts is:</p>
      <p>The parameters list describing the material artifact product is a set of indicators
that have both quantitative and qualitative forms of description. The description of
these parameters makes it possible to determine the future product and its quantitative
and qualitative characteristics. The list of parameters is determined by the IT project
management team during the implementation of the IT project artifact description
procedure. Mathematically, we describe the list of material artifact parameters as
– r indicator of m material artifact of the project product,
 – the number of indicators of m material artifact of the project product.

= { 1 , … ,</p>
      <p>}
,   

,</p>
      <p>〉,</p>
      <p>= {  1 , … ,  

},</p>
      <p>The metric contains a value that is described in qualitative or quantitative terms.
Mathematically, the description of the material artifact of an IT project product is

= 〈</p>
      <p>〉,
where</p>
      <p>ℎ – the value of r indicator of m material artifact of the IT project
The list of impact indicators for intangible product artifacts contains the matrix
with separate impact level values for each stakeholder value. The calculation of the
value of the influence level of material product artifact on the stakeholder’s value is
carried out by the following formula:</p>
      <p>|)
,
– the value of r indicator of n material artifact of the project product,
r – l values for g stakeholder.</p>
      <p>The period of engagement of a tangible product artifact contains the time the
product was received as a result of the IT project product creation tasks.</p>
      <p>The list of indicators of change in the impact level of a material artifact of a
product on the stakeholder’s value contains the matrix of individual values of the
change in the influence level of the product on each value of the IT project
stakeholders. The individual metrics of this matrix indicate how much the impact of a
product's material artifact on an IT project's stakeholder value changes per unit of










time.
3.4
stakeholders.
(22)
(23)
(24)
(25)</p>
      <p>Intangible Products Artifacts
Intangible product artifacts are the results of the implementation of the IT project
product creation tasks that are described by qualitative criteria.</p>
      <p>Intangible artifact product is an informational or intangible product of a project that
is generated during the IT project implementation and is passed on to the IT project
Mathematically, we describe the list of product artifacts as follows:</p>
      <p>= { 1 , … ,   },
– the list of intangible artifact product of the IT project,
– m intangible artifact product of the IT project,
We describe a mathematically intangible artifact of an IT project product:



= 〈 
 ,   
,   
,   
,   〉,
where 
– the parameters list that describe the d-intangible product artifact,
– the indicators list of the influence level of d-intangible product
d – the number of intangible artifacts of products that are generated during
the IT project.
artifact on the stakeholder’s values,  

product.</p>
      <p>– the receipt period of d intangible product artifact,
– the indicators list for reducing the influence level of the d material
product artifact on the stakeholder’s value.</p>
      <p>The parameters list that describe an intangible artifact product is a set of indicators
that have only a qualitative form of description. The description of these parameters
makes it possible to determine the future product and its quality characteristics.
Mathematically, the list of parameters will describe the intangible product artifact as



= {  1 , … ,  
},
where
 –r indicator of the d-intangible artifact of the IT project product,
r is the number of indicators of h-intangible artifacts of the IT project
The metric contains the value that is described in qualitative or quantitative terms.
Mathematically, we describe the intangible artifact of an IT project product as
– the value of r indicator of d intangible artifact of the IT project
The list of indicators of the level of impact on an intangible artifact product is a
matrix, which gives indicators from zero to one that determines the level of impact of
the product on the stakeholders’ values. The value calculation of the influence level of
an intangible product artifact on the stakeholder’s value can be made using the next



= ∑ 







– the value of r indicator of n intangible artifact of the IT project
product,
r – the l values for g stakeholder.</p>
      <p>The Intangible Product Artifact Retrieval Indicator indicates the time the artifact
will be received as a result of the IT project product creation tasks.</p>
      <p>The list of impact level change indicators contains a matrix that lists the changes in
the impact of the artifact on each project stakeholder value. This indicator indicates
how much the stakeholder value level of the intangible product artifact per unit will
change.
4</p>
      <p>Satisfaction Level Assessment of IT Project Stakeholders
The satisfaction level of project stakeholders is a key indicator as it reflects how
interested the stakeholders are in the outcome of the IT project and agrees to continue
to participate in it. In order to maintain homeostasis in the IT project, the IT project
management team should monitor this index and not allow significant deviations
between the planned and actual indicators within the iteration.</p>
      <p>Stakeholder satisfaction</p>
      <p>metrics are calculated by calculating the impact of
material and intangible product artifacts on stakeholder values. The calculation also
takes into account the priority of all stakeholder values. The mathematical calculation
of the planned values of the satisfaction level of the stakeholders’ values will be
described as follows:</p>
      <p>– planned values of the satisfaction level of g stakeholder’s values.</p>
      <p>The value of the actual indicators of the satisfaction level of the stakeholder is
calculated by calculating the values of the impact of tangible and intangible artifacts
of the resources on all the stakeholder’s values. The calculation also takes into
account the priority of the stakeholder’s values. We will mathematically calculate the
actual values of the satisfaction level of the stakeholder values as follows:










)

(29)
(30)
(31)


Stakeholders
 1
 2
…
 


where</p>
      <p>– the actual values of the satisfaction level of the g stakeholder.</p>
      <p>The deviation of the satisfaction level of the interested party is calculated as the
difference between the values of the planned and actual indicators of the satisfaction
level of all stakeholders’ values. The mathematical calculation of the deviation of
values of the satisfaction level of the stakeholder values will be described as follows:
 

=</p>
      <p>−  
where</p>
      <p>– deviation in satisfaction of g stakeholder values.</p>
      <p>The results of the indicators calculation are recorded in the table, the template of
which is presented in Table 1.</p>
      <p>Results of the analysis of the satisfaction level of IT project stakeholders</p>
    </sec>
    <sec id="sec-2">
      <title>Stakeholder</title>
      <p>satisfaction, plan</p>
    </sec>
    <sec id="sec-3">
      <title>Stakeholder satisfaction, fact Satisfaction with values, rejection</title>
      <p>=1 (1 −</p>
      <p>+ ∑


)
 ))</p>
      <p>Based on the collected data on the satisfaction level of the IT project stakeholders,
a petal chart is constructed, which shows data on the values of the planned and actual
satisfaction level of the stakeholders. An example of a petal diagram is shown in</p>
      <p>Z8
Z6</p>
      <p>1
0,8
0,6
0,4
0,2
0</p>
      <p>Z5
Z7
Z3</p>
      <sec id="sec-3-1">
        <title>Stakeholder satisfaction, plan.</title>
      </sec>
      <sec id="sec-3-2">
        <title>Stakeholder satisfaction, fact. Z2 Z4</title>
        <p>By analyzing the data of the IT project stakeholders' satisfaction table and the petal
diagram, the project management team identifies stakeholders whose satisfaction
levels do not change during the project implementation process. Significant deviations
between the planned and actual indicators of the priority stakeholders lead to the loss
of homeostasis in the IT project.</p>
        <p>Conclusions</p>
        <p>A mathematical model was developed describing the IT project stakeholders and
the values that should be provided as a result of the IT project. Indicators of the
satisfaction level of stakeholders and the provision of their values have been
determined.</p>
        <p>A mathematical model describing the artifacts of the project is constructed.
Indicators describing IT project artifacts have been identified and their
importance in meeting IT project stakeholders' values.</p>
        <p>A method for assessing the satisfaction level of stakeholders has been
developed. Analyzing the level of stakeholder value assurance by the results of
artifacts exchange, we determine the satisfaction level of IT project stakeholders.
The results of the stakeholder satisfaction analysis allow us to predict the
occurrence of conflicts in the IT project and to avoid their negative
consequences.
1.</p>
        <p>Bomba, A., Kunanets, N., Nazaruk, M., Pasichnyk, V., Veretennikova, N.: Information
technologies of modeling processes for preparation of professionals in smart cities.
Advances in Intelligent Systems and Computing, 754, 702-712 (2019).</p>
      </sec>
    </sec>
  </body>
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