<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Archiving and Interchange DTD v1.0 20120330//EN" "JATS-archivearticle1.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Mono-Templates Under the Influence of Project Changes</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Dmytro Kobylkin</string-name>
          <email>dmytrokobylkin@gmail.com</email>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Oleh Zachko</string-name>
          <email>zachko@ukr.net</email>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Roman Ratushny</string-name>
          <email>ratushnyi@ldubgd.edu.ua</email>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Andriy Ivanusa</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Carsten Wolff</string-name>
          <email>carsten.wolff@fh-dortmund.de</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Dortmund University of Applied Science and Arts</institution>
          ,
          <addr-line>Sonnenstraße 96-100, Dortmund, 44139</addr-line>
          ,
          <country country="DE">Germany</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Infrastructure Project</institution>
          ,
          <addr-line>Content, Modification, Mono-template, Project Changes, Project</addr-line>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Lviv State University of Life Safety</institution>
          ,
          <addr-line>Kleparivska Street, Lviv, 79007</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>A thorough study of the process of managing the content of infrastructure projects monotemplates under the influence of project changes was carried out. During the study, was carried out a systematic analysis of the implementation processes of infrastructure projects, programs and project portfolios. A model of formation the modification factor of changes in the content of infrastructure projects, programs and project portfolios at the planning stage was developed, which made it possible to identify the process of modification the content of the infrastructure project under the influence of changes. Based on the systematization of the dependence matrix was constructed a graph of influence dependences of modification factor of changes on different levels of projects, programs and portfolios of infrastructure projects during the life cycle. The study of the subject area allowed to expand the terminological base of project management, programs and portfolios of infrastructure projects by formalizing the concept of "changes in infrastructure projects, programs and project portfolios. The model of content management of infrastructure project mono-template under the influence of project changes is presented. The model is formed on the basis of application of DSR mono-template of infrastructure project and taking into account 5 stages of infrastructure project content management. 4 classes of deviations of infrastructure projects content under the influence of project changes at the planning stage are formed and their quantitative range of distribution is presented. The practical formalization of the developed models with the representation of the corresponding mathematical dependences was carried out.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>Environment</p>
    </sec>
    <sec id="sec-2">
      <title>1. Introduction</title>
      <p>Successfully implemented infrastructure projects are the cornerstone of modern society and its
vital activity. They increase the efficiency of states and the welfare of citizens, are a stimulating factor
in economic development. There are a large number of classifications of infrastructure projects [13],
in particular by scale, scope, forms, levels, types, etc. However, non-world practice indicates that the
main areas of implementation and application of infrastructure projects, programs and project
portfolios are:
•
•
•
•
•
•</p>
      <p>Transport
Energy
Communication
Water
Waste</p>
      <p>Defense</p>
      <p>2021 Copyright for this paper by its authors.
Place
1
2
3
4
5
…
25
57
…
100</p>
      <sec id="sec-2-1">
        <title>Country</title>
      </sec>
      <sec id="sec-2-2">
        <title>Singapore</title>
      </sec>
      <sec id="sec-2-3">
        <title>The Netherlands</title>
      </sec>
      <sec id="sec-2-4">
        <title>Hong Kong SAR</title>
      </sec>
      <sec id="sec-2-5">
        <title>Switzerland</title>
      </sec>
      <sec id="sec-2-6">
        <title>Japan</title>
      </sec>
      <sec id="sec-2-7">
        <title>Poland</title>
      </sec>
      <sec id="sec-2-8">
        <title>Ukraine</title>
      </sec>
      <sec id="sec-2-9">
        <title>Bolivia</title>
        <p>….</p>
        <p>….</p>
        <p>All of these industries need significant infrastructure to function effectively and efficiently.
However, a completely new area is planning and implementation of IT infrastructure projects, as the
number of users of the Internet and cloud technologies is growing.</p>
        <p>The analysis of statistical data for 2019 made it possible to track trends in infrastructure quality in
100 countries based on an assessment of the complex of existing and project-implemented
infrastructure. (see Table 1)</p>
        <p>Thus, according to the obtained indicators, Ukraine with the value of the index 70.3 ranks 57th in
the world and 33rd in Europe in terms of existing infrastructure and implemented projects. According
to the development index, it is in the 2nd group - medium-developed infrastructure.</p>
        <p>The main factors in obtaining such indicators include the following:
• Infrastructure projects are complex organizational and technical systems, so their
implementation, in terms of time and resources, is the costliest
• There are different approaches and features to the implementation of infrastructure projects,
programs and project portfolios of different types and levels
• Problems of synchronization of project management standards, programs and project
portfolios with national legislation
• Constant changes that affect the content of infrastructure projects</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>2. Analysis of recent research and publications</title>
      <p>Having carried out a literary analysis of scientific achievements and trends in the field of science
project management, programs and project portfolios, we can say that a special niche in this area is
devoted to the study of infrastructure projects. Infrastructure projects were studied by well-known
Ukrainian and foreign scientists, including S. Bushuyev, H. Tanaka, I. Chumachenko, I. Kononenko,
N. Bushuyeva, I. Babayev, S. Tsiutsiura, V. Piterska, S. Chernov, V. Gogunskii, N. Kunanets, V.
Pasichnyk, A. Shakhov, A. Tryhuba, D. Bushuiev and others.</p>
      <p>The following can be considered as important results of the conducted researches of management
processes of infrastructure projects, programs and project portfolios. During the COVID-19
pandemic, the features of emotional contamination of management the infrastructure projects based
on rapid transformation were studied [1]. An active method of communication has been developed for
energy efficiency projects [16]. The components and results of the study of the development of
creative potential of project managers have been identified [19]. Are considered the basics of
infrastructure project management, guided by global trends [2] and the competence of IT project
management [3], information technologies for analysis and modeling of computer networks [11]. An
algorithm for simplifying the solution of discrete optimization problems and reducing the problem of
discrete optimization has been formed [4, 5]. Peculiarities of transport infrastructure design taking
into account the human factor and management of critical competencies in a multi-project
environment are described [7, 8]. Formed proactive strategy of operations and psychological means of
theoretical modeling of the optimal number of project staff [5, 9]. Presented the methodical proposals
for the use of an innovative mechanism focused on risk [15] and described a method for solving the
non-Markov problem of optimizing the project portfolios for the planned period [14].
A generalized information model of the object is formed [18], the coordination of configurations of
complex organizational and technical systems [17] and the features of safety-oriented management of
project stakeholders [10] are described. Was researched management priority of ICT projects in
programme of development organization in complex dynamically varying environment, however it is
not integrated it to use in infrastructure projects [22-26].</p>
      <p>However, despite the extensive research of methods, models and processes of project management,
programs and project portfolios and the obtained results, the following can be stated. Today,
unresolved scientific issues are the processes of content management of infrastructure projects at the
planning stage, with the use of mono-templates of such projects and under the influence of project
changes. Therefore, the solution of this scientific problem is an urgent task.</p>
      <p>Object of study. Features of the process of forming the content of infrastructure projects with the
use of mono-templates and under the influence of project changes.</p>
      <p>Subject of study. Models of content management of infrastructure projects under the influence of
project changes.</p>
      <p>The task of work. Development of models and research of the content management process with
the use of infrastructure projects mono-templates under the influence of project changes. In order to
solve the scientific problem should:
1. Conduct a systematic analysis of the research object, to apply in the research the methodology
and tools of project management, programs and project portfolios, in particular the elements
of proactive and reactive management
2. Develop a model of formation the modification factor of changes in the content of
infrastructure projects, programs and project portfolios at the planning stage
3. Build a graph of the dependences of modification factor impact of changes at different levels
of projects, programs and portfolios of infrastructure projects during the life cycle
4. Study the subject area and form new definitions that complement the terminology for project
and program management
5. Develop a model for managing the content of infrastructure project mono-template under the
influence of changes. Investigate the classes of deviations in the content of infrastructure
projects under the influence of project changes at the planning stage and present their
quantitative range of distribution
6. Carry out practical formalization of the developed models with representation of the
corresponding dependences
7. To form directions of further research</p>
    </sec>
    <sec id="sec-4">
      <title>3. The bulk of research</title>
      <p>Implementation of infrastructure projects, programs and project portfolios according to its
specifics, peculiarities of formation and implementation is a complex organizational and technical
process.</p>
      <p>The complexity of the formation and implementation of infrastructure projects are:
• Increased project requirements for the product of the infrastructure project
• The need for structural decomposition of working and organizational structures of the
infrastructure project
• The need for detailed planning of the life cycle of the infrastructure project
• Taking into account the increased probability of the impact of risks on the project
• Formation of the content of the infrastructure project based on the use of mono-templates
•</p>
      <p>Taking into account the impact of changes on the content of the infrastructure project, its
reactions and behavior in terms of this impact</p>
      <p>The solution of certain difficulties in the formation and implementation of infrastructure projects,
programs and project portfolios is to conduct a comprehensive study. It includes the application of the
provisions of the systematic analysis of infrastructure projects. Using theoretical and practical
tools for project and program management to form project structures, their decomposition and
modeling of planning processes taking into account the impact of changes. A systematic analysis of
the existing features of the implementation of infrastructure projects indicated that they are mostly
poorly or well structured. One of the key features of the implementation of infrastructure projects,
programs and project portfolios is the use of mono-templates of such projects [12, 13, 20].
This approach, it can be argued, is a guarantee of not classifying infrastructure projects as
unstructured projects.</p>
      <p>However, the relationship of infrastructure projects to the category of poorly and well-structured,
and the use of their mono-templates, does not eliminate the need to study the basic elements of the
impact of changes on infrastructure projects, programs and project portfolios. The application
of an infrastructure project mono-template is a complex process of analysis of existing structures and
content of formation and planning the infrastructure projects, their adaptation in accordance with the
design requirements of each individual project. This process involves the use of tools for modeling the
structures of infrastructure projects, programs and project portfolios. It is complicated by the
multicriteria of changes that affect the content of infrastructure projects throughout the project life cycle, in
particular, the most significant impact is carried out at the planning stage.
After conducting a detailed analysis, we formed a definition of changes in infrastructure projects,
programs and project portfolios.</p>
      <p>Changes in infrastructure projects, programs and projects portfolios – are a set of predictable and
unpredictable factors that influence the content and structure of planning projects, programs and
portfolios of infrastructure projects, cause reactions and modify their behavior in the process of
further planning and implementation.</p>
      <p>In turn, the modification of the content of infrastructure projects, programs and project portfolios
is a behavioral response of the content to the impact of change. Based on the data of the system
analysis of infrastructure projects, programs and project portfolios and using modeling tools, a model
scheme of forming a modification factor of changes in the content of infrastructure projects, programs
and project portfolios at the planning stage was developed (see Figure 1), where
Content (Ct) IPPo – content of the infrastructure projects portfolio;
IPPo – infrastructure projects portfolio; Content (Ct) IPPo’ – modified content of the infrastructure
projects portfolio; IPPo’ – modified infrastructure projects portfolio; Content (Ct) IPPg – content of
the infrastructure program of projects; IPPg – infrastructure program of projects;
IPPgn – number of infrastructure programs of projects; Content (Ct) IPPg’ – modified content of the
infrastructure program of projects; IPPg’ – modified infrastructure program of projects;
IPPgn’ – number of modified infrastructure programs of projects; Content (Ct) IPPr – content of the
infrastructure project; IPPr – infrastructure program of projects; IPPrn/ IPPrn+1 – number of
infrastructure projects; Content (Ct) IPPr’ – modified content of the infrastructure project;
IPPr’ – modified infrastructure project; IPPrn’/ IPPrn+1’ – number of modified infrastructure
projects; Md1/ Md2/ Md3 – modification factors of changes in the content of infrastructure projects,
programs and projects portfolio.</p>
      <p>
        The model-scheme in the context of formation of infrastructure projects, programs and projects
portfolio at different levels is developed: Lpo – level of infrastructure projects portfolio; Lpg – level
of infrastructure projects program; Lpr – level of infrastructure projects, which is described by
dependence (
        <xref ref-type="bibr" rid="ref1">1</xref>
        ).
      </p>
      <p>
        Ip = Lpo; Lpg; Lpr ,
(
        <xref ref-type="bibr" rid="ref1">1</xref>
        )
where Ip – infrastructure portfolio, program, project.
      </p>
      <p>Project
portfolio</p>
      <p>level
S
E
G
N
A
H
C</p>
      <p>Project
program</p>
      <p>level</p>
      <sec id="sec-4-1">
        <title>Level of projects Content IPPo</title>
      </sec>
      <sec id="sec-4-2">
        <title>IPPo</title>
      </sec>
      <sec id="sec-4-3">
        <title>Content IPPg</title>
      </sec>
      <sec id="sec-4-4">
        <title>IPPg</title>
        <p>Md1
n
g
IPP Md2</p>
      </sec>
      <sec id="sec-4-5">
        <title>Content IPPo’s</title>
      </sec>
      <sec id="sec-4-6">
        <title>IPPo’</title>
      </sec>
      <sec id="sec-4-7">
        <title>Content IPPg’</title>
      </sec>
      <sec id="sec-4-8">
        <title>IPPg’</title>
        <p>’
n
g
P
P
I</p>
      </sec>
      <sec id="sec-4-9">
        <title>IPPr</title>
        <p>Content IPPr</p>
      </sec>
      <sec id="sec-4-10">
        <title>IPPrn</title>
      </sec>
      <sec id="sec-4-11">
        <title>IPPrn+1 Md3</title>
      </sec>
      <sec id="sec-4-12">
        <title>IPPr’</title>
        <p>Contents IPPr '</p>
      </sec>
      <sec id="sec-4-13">
        <title>IPPrn’</title>
      </sec>
      <sec id="sec-4-14">
        <title>IPPrn+1'</title>
        <p>
          Changes that occur at the level of the portfolio of infrastructure projects Lpo primarily affect the
content of the project portfolio. They form a modification factor of changes Md1, which changes the
structure of the portfolio, the parameters of resistance to the system of stability (portfolio hardens) and
flexibility (portfolio learns to respond to changes with less consequences). We write a formalized
dependence (
          <xref ref-type="bibr" rid="ref2">2</xref>
          ).
        </p>
        <p>Cg( Lpo ) = Md1  (CtIPPo  IPPo) → (CtIPPo'  IPPo' )' ,
where Cg – the impact of changes on the infrastructure portfolio, program, project.</p>
        <p>
          Changes that occur at the level of the Lpg infrastructure project program affect the content of the
project program. We write the dependence of the formalized expression (
          <xref ref-type="bibr" rid="ref3">3</xref>
          ).
        </p>
        <p>
          (CtIPPg( n )  IPPg( n ); IPPg  1; n + 1)
 
Cg( Lpg ) = Md 2     ,
(CtIPPg( n )'  IPPg( n )'; IPPg '  1; n + 1)
 
(
          <xref ref-type="bibr" rid="ref2">2</xref>
          )
(
          <xref ref-type="bibr" rid="ref3">3</xref>
          )
        </p>
        <p>However, at this level, the impact of changes can occur before and after the impact of the
modification factor changes Md2. This is based on the causal links between the infrastructure projects
portfolio and the project program. It is logical that the direct impact of the modified infrastructure
projects portfolio of CtIPPo’ on the modified content of CtIPPg(n)’ and the IPPgn’ infrastructure
project program will have a positive impact on the planning of the structure and implementation
parameters of infrastructure projects.</p>
        <p>
          At the level of Lpr – the level of infrastructure projects, in addition to the impact of changes that
accompany all infrastructure projects that are implemented in the context of programs and project
portfolio, it is necessary to take into account their competition. Each project at this level is vulnerable
to external factors of Md3 changes that accompany their modification. We formalize
the dependence (
          <xref ref-type="bibr" rid="ref4">4</xref>
          ).
        </p>
        <p>
          (CtIP Pr( n,...,n +1)  IP Pr( n,...,n +1); IP Pr 1;n +1)
Cg( Lpr ) = Md 3     ,
(CtIP Pr( n,...,n +1)'  IP Pr( n,...,n +1)'; IP Pr' 1;n +1)
 
(
          <xref ref-type="bibr" rid="ref4">4</xref>
          )
        </p>
        <p>Accordingly, it should be noted that the direct impact of the modified program of infrastructure
projects CtIPPg’ on the modified infrastructure projects IPPr(n,…,n+1)’ and their content
CtIPPr(n,…,n+1)’ will have a positive impact on the planning process.</p>
        <p>The study of the peculiarities of the distribution of impact of the modification factor according to
the levels (projects, programs and portfolio of infrastructure projects) during the life cycle made it
possible to build an appropriate matrix. (see Table 2).
where + (influence is present), - (no influence) - the value of the influence of the modifying factor of
change at different phases of the life cycle. Analyzing the matrix, we can say that the dependence of
the modification factor of changes according to each level of the project will be different, and their
functions will change according to the asymptotes. Thus, we constructed a graph of the dependence of
the modification factor impact on changes at different levels of projects, programs and portfolio of
infrastructure projects during the life cycle (see Figure 2).</p>
        <p>Md1
Md2
Md3</p>
        <p>F4
+--+--+
n
o
i
t
a
c
i
f
i
d
o
m
f
o
e
c
n
e
u
l
f
n
I
Levels of
project
3
2
1
0</p>
        <p>IPPo
IPPg
IPPr</p>
        <p>F2
where F1 – is the initiation phase; F2 – planning phase; F3 – implementation phase; F4 – completion
phase.</p>
        <p>
          The formed curves of dependences of modifying factor influence of changes on various levels of
infrastructure projects, programs and projects portfolio can be written down by functions. For the
modification factor of changes Md1 (
          <xref ref-type="bibr" rid="ref5">5</xref>
          ).
        </p>
        <p>
          For the modification factor Md2, the function will look like this (
          <xref ref-type="bibr" rid="ref6">6</xref>
          ).
        </p>
        <p>
          Md 2 = IPPo
For the modification factor of changes Md3 we write down the function (
          <xref ref-type="bibr" rid="ref7">7</xref>
          ).
        </p>
        <p>Md1 = IPPo
lim f ( IPPo)=Md1 ,</p>
        <p>IPPo→0;3
lim f ( IPPo)=Md 2 ,</p>
        <p>IPPo→0;2
Md 3 = IPPo
lim f ( IPPo)=Md 3 ,</p>
        <p>
          IPPo→0;1
(
          <xref ref-type="bibr" rid="ref5">5</xref>
          )
(
          <xref ref-type="bibr" rid="ref6">6</xref>
          )
(
          <xref ref-type="bibr" rid="ref7">7</xref>
          )
        </p>
        <p>After analyzing the presented graph of dependences and matrix, we can state the following. The
main impact of project changes is on the initial phases of the life cycle of projects, programs and
portfolio of infrastructure projects, in particular the phases of initiation and planning. Taking into
account the above and the existing practice of implementing infrastructure projects, we confirm the
special importance of taking into account the impact of changes and modification factors on the
project content at the planning stage of infrastructure projects, programs and projects portfolio. Since
previous studies have indicated the practical feasibility of using infrastructure projects
monotemplates, we have formed a model for managing the content of the infrastructure project
monotemplate under the influence of project changes (see Figure 3), where Ee – the impact of the external
project environment; Ei – the impact of the internal project environment; Pb – initiation of
infrastructure project changes; Pl – planning of infrastructure project changes; Pw – definition of the
content of the infrastructure project; Pс – checking the content of the infrastructure project;
Pe – control over the content of the infrastructure project.</p>
        <p>
          The model is formed on the basis of application of DSR (Decomposition; Safety; Resources) of a
mono-template [12] of the infrastructure project. It includes elements of content management of the
infrastructure project, taking into account the impact of the project environment, dependencies and
changes. The content management of the infrastructure project includes the following management
units: change initiation, planning, content definition, verification and control. We write down these
control blocks of expression (
          <xref ref-type="bibr" rid="ref8">8</xref>
          ).
        </p>
        <p>
          СtM = Pb; Pl; Pw; Pc; Pe ,
(
          <xref ref-type="bibr" rid="ref8">8</xref>
          )
where CtM – content management of infrastructure project, program, project.
        </p>
        <p>
          To verify the adequacy of the developed model, we assume that under the most favorable design
conditions, the value of the project content will be equal to 1. Then, if there are changes that will
affect the content of the infrastructure project, subtract their quantitative values from previously
accepted. We write this solution by equation (
          <xref ref-type="bibr" rid="ref9">9</xref>
          ).
        </p>
        <p>
          СtMа = 1− (Pb; Pl; Pw; Pc; Pe; Ei; Ee) ,
(
          <xref ref-type="bibr" rid="ref9">9</xref>
          )
Content of the infrastructure
        </p>
        <p>project</p>
        <p>Initiation of changes</p>
      </sec>
      <sec id="sec-4-15">
        <title>Initial conditions (1 - Pb)</title>
        <p>Content planning
(1 - Pl)
(1 - Pс)
(1 - Pw)
Checking the content</p>
      </sec>
      <sec id="sec-4-16">
        <title>Final result (1 - Pe)</title>
        <p>Content control
1-Ei</p>
        <p>Definition of content
1-Ee
DSR mono-template of infrastructure project</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>4. Conclusions</title>
      <p>A scientific study of the process of managing the content of infrastructure projects mono-templates
under the influence of project changes. The research is based on the application of project
management methodology, programs and portfolios of infrastructure projects, the use of elements of
system analysis of projects, modeling tools. According to the results of the study:
1. There is developed the model of formation the modification factor of changes maintenance of
infrastructure projects, programs and projects portfolio at a planning stage
2. There is constructed the graph of the dependence of the modification factor impact on
changes on various levels of projects, programs and portfolio of infrastructure projects during
a life cycle on the basis of a matrix of dependence
3. Expanded the terminological base of project management, programs and portfolios of
infrastructure projects by formalizing the concept of "changes in infrastructure projects,
programs and projects portfolios"
4. Model for managing the content of the infrastructure project mono-template under the
influence of project changes is developed; 4 classes of deviations of the content of
infrastructure projects under the influence of project changes at a planning stage are formed
and their quantitative range of distribution is presented
5. Practical formalization of the developed models with representation of the corresponding
dependences is carried out;</p>
      <p>Areas of further research include improving the methodology of managing the content of
infrastructure projects with the practical implementation of the results.</p>
    </sec>
    <sec id="sec-6">
      <title>5. Acknowledgements</title>
      <p>Acknowledgements to the Ukrainian Project Management Association (UPMA), organizational
committee of ITPM 2021 and management board of Lviv State University of Life Safety</p>
    </sec>
    <sec id="sec-7">
      <title>6. References</title>
      <p>Computer Sciences and Information Technologies, CSIT 2019 - Proceedings, 2019, 3, Pp.
126129, 8929741. doi: 10.1109/STC-CSIT.2019.8929741
[10] A. Ivanusa, S. Yemelyanenko, R. Yakovchuk, Z. Ivanusa. Safety-focused stakeholder
Management in Civil Protection Projects, IEEE 2019 14th International Scientific and Technical
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