=Paper= {{Paper |id=Vol-2853/keynote2 |storemode=property |title=Intelligent Information Technology for Providing Human Resources to Projects in a Multi-Project Environment (keynote) |pdfUrl=https://ceur-ws.org/Vol-2853/keynote2.pdf |volume=Vol-2853 |authors=Nataliia Dotsenko,Dmytro Chumachenko,Yuliia Husieva,Iryna Kadykova,Igor Chumachenko |dblpUrl=https://dblp.org/rec/conf/intelitsis/DotsenkoCHKC21 }} ==Intelligent Information Technology for Providing Human Resources to Projects in a Multi-Project Environment (keynote)== https://ceur-ws.org/Vol-2853/keynote2.pdf
Intelligent Information Technology for Providing Human
Resources to Projects in a Multi-Project Environment
Nataliia Dotsenkoa, Dmytro Chumachenkob, Yuliia Husievaa, Iryna Kadykovaa and Igor
Chumachenkoa

a
     O. M. Beketov National University of Urban Economy in Kharkiv, Marshal Bazhanov str., 17, Kharkiv,
     61002, Ukraine
b
     National Aerospace University “Kharkiv Aviation Institute”, Chkalow str., 17, Kharkiv, 61070, Ukraine


                 Abstract
                 The implementation of projects in a multi-project environment imposes additional restrictions
                 on human resource management processes. In order to monitor the provision of human
                 resources to projects in a multi-project environment, a method for analyzing the involvement
                 of human resources in a portfolio of projects is proposed, which is based on the use of a
                 logical-combinatorial approach. The use of positional diagrams allows you to analyze the
                 distribution of resources between portfolio projects and determine the degree of involvement
                 of performers in the project.
                 Metrics that are used in the analysis of a project portfolio have been determined. They are
                 involvement of stakeholders in the project portfolio; involvement of stakeholders in the
                 project; interest of stakeholders in project management; interest of stakeholders in human
                 resource management of the project; stakeholder loyalty indicator. Since various stakeholders
                 are involved in the implementation of a portfolio of projects, when ensuring the redistribution
                 of resources in the portfolio, it is necessary to take into account the level of involvement of
                 resources in the projects of certain stakeholders. A method for the analysis of stakeholder-
                 oriented resource redistribution is proposed, which allows taking into account the interests of
                 stakeholders and identifying a potential conflict in the redistribution of project portfolio
                 resources.

                 Keywords
                 Project, stakeholders, engagement analysis, resource reallocation, multi-project environment.

1. Introduction
   Developing sustainable human capabilities for project team members during the COVID-19 crisis
increases team resilience and facilitates the adaptation of technical skills to dynamic economic
changes [1]. In a crisis, the company's management faces the task of improving human resource
management in order to optimize them. In some cases, it is impossible to do without staff cuts.
Reduction of personnel, aggressive influence of the external environment, increased mobility of team
members lead to an increase in project risks associated with the influence of the human factor.
   To increase the viability of projects and the company's competitiveness, it is necessary to apply
modern approaches to human resource management in project-oriented companies.
   To increase the viability of projects and the company's competitiveness, it is necessary to apply
modern approaches to human resource management in project-oriented companies.
   __________________________
IntelITSIS’2021: 2nd International Workshop on Intelligent Information Technologies and Systems of Information Security, March 24–26,
2021, Khmelnytskyi, Ukraine
EMAIL: nvdotsenko@gmail.com (N. Dotsenko); dichumachenko@gmail.com (D. Chumachenko); yulia.y.guseva@gmail.com (Y. Husieva),
irina.kadykova@gmail.com (I. Kadykova), ivchumachenko@gmail.com (I. Chumachenko)
ORCID: 0000-0003-3570-5900 (N. Dotsenko); 0000-0003-2623-3294 (D. Chumachenko); 0000-0001-6992-543X (Y. Husieva), 0000-
0002-3189-7231 (I. Kadykova), 0000-0003-2312-2011 (I. Chumachenko)
            © 2021 Copyright for this paper by its authors.
            Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).
            CEUR Workshop Proceedings (CEUR-WS.org)
   The development of effective methods for managing human resources of a multi-project is an
urgent task, since for the implementation of a multi-project it is necessary to synthesize the resources
of individual projects within the existing constraints. Multi-project management leads to the need to
analyze the distribution of resources between portfolio projects [2-4].

2. Related works
   Product development organizations are faced with a growing number of fast and small
development projects to meet market and customer needs. By multi-project management we mean the
management of a group of projects, programs, project portfolios carried out by one or more
organizations in the industry in a certain period of time to achieve the strategic goals of the industry or
a certain circle of stakeholders.
   The characteristic features of human resource management in a multi-project environment are:
   •     the presence of a certain circle of stakeholders;
   •     the need to ensure the management of critical competencies;
   •     specific requirements for resource management;
   •     involvement of performers in several projects.
   In order to ensure rapid product development, it is proposed to allocate competent developers for
quick projects, joint placement of a development team, effective personal communication and the
implementation of a specific but flexible process for rapid product development [5]. Jin Guangying;
Sperandio Severine; Girard Philippe consider the formation of the project team taking into account the
possibility of collaboration, the level of expectations of the participants from the project, using the
values of AWTEL [6].
   Application of a multi-agent approach to the allocation of human resources [7-9] is aimed at solving
problems when planning several projects with limited resources in conditions of uncertainty [10].
   When solving the decentralized problem of finding a compromise between time and costs in multi-
project time-cost tradeoff problem, project planning and resource allocation are performed in a
distributed manner by autonomous project managers to optimize local goals, taking into account
global requirements [11].
   When planning a project in a multi-project environment, there are:
   •     Resource Constrained Project Scheduling Problem (RCPSP) [11];
   •     Resource Constrained Project Scheduling Problem with Bounded Multitasking (RCPSPBM) [12];
   •     Multi-mode resource-constrained project scheduling [13];
   •     Robust Resource-Constrained Multi-Project Scheduling Problem (RRCMPSP) [14];
   •     Project Scheduling with Dynamic Resource Allocation in a Multi-project Environment [15];
   •     The task of planning a portfolio of projects in the context of restrictions on the available labor
resources of various specializations and fuzzy estimates of labor costs for performing work [16].
   The use of multicriteria optimization based on the modified TOPSIS method in solving the human
resource management problem allows ranking alternative solutions for human resource management,
further analysis and selection of the final solution [17].
   A targeted search is used to provide the company with employees with critical competence. Its
effectiveness is determined by the formalization of requirements for the candidate, determined by the
requirements for the project and the interests of the stakeholders.
   When managing a project portfolio, the stakeholders are [18]:
   •     the supreme governing body of the company, which makes strategic decisions on the
development of the company's portfolio;
   •     portfolio management group;
   •     portfolio director;
   •     portfolio management committee (portfolio board);
   •     managers (leaders) of programs;
   •     managers (leaders) of projects;
   •     program / project office;
   •     teams of programs / projects;
   •     clients;
   •     suppliers and partners.
   The methods of attracting employees to the project team are determined by the availability of
resources in the company, their availability at a certain point in time, and the consent to take part in
the project [19]. The application of the competence-based approach is considered in the works of
Bushuev S.D., Bushueva N.S. [20].
   In order to increase the efficiency of project management, it is proposed to consider the integration
of stakeholder management and project human resources management. The relationship between
human resource management processes in a multi-project environment and critical competence
management processes is discussed in [21].
   A method of project-oriented management of the provision of human resources for projects in a
multi-project environment is proposed, based on the analysis of stakeholders' interest in human
resource management processes, taking into account the loyalty of stakeholders, which, unlike the
existing ones, takes into account the consistency of certain resource constraints, which will provide
project teams with the necessary resources for given restrictions [22].
   Among the main tasks that arise during changes in a multi-project environment, the most urgent is
the redistribution of resources between projects while ensuring existing restrictions. The current
direction is the creation of an adaptive team - a team that reacts to changes in the currently available
business requirements and technical requirements for the project and its product, by redistributing
functions with the same team composition. The need to take into account changes to the requirements
of the project and the project product, to adapt the team to the changed requirements, the ability to
reserve and ensure donor-acceptor interaction leads to the need to develop methods for redistributing
resources in a multi-project environment.

3. Proposed methods and model
    Implementation of projects in a multi-project environment with a limited pool of resources, staff
reduction during a crisis leads to the involvement of performers in several projects at the same time.
On the one hand, this approach reduces the amount of resources involved, but it can also lead to a
decrease in the efficiency of project implementation due to the switching of performers' attention
between projects and the need to focus on the completed projects.
    At the stage of resource planning in a multi-project environment (project portfolio or program), it
is proposed to determine the maximum possible degree of involvement of an employee with a certain
qualification, at which he can perform work with a given quality.
    The degree of overlap of projects by the parameter human resources shows the number of
performers simultaneously involved in the implementation of a given combination of projects.
Excessive involvement of employees (especially middle management) in various projects leads to a
decrease in the efficiency of functioning, an increase in the influence of the subjective factor, and a
decrease in the quality of decisions made.
    The maximum possible degree of involvement of the i-th performer in the project is the number of
projects carried out by the i-th employee in a certain period of time with the given quality indicators.
    The maximum allowable load for the whole organization reflects the percentage of resource
utilization. For example, in budgetary institutions, the maximum allowable workload is 150% (1 rate
of a full-time employee and 0.5 of a part-time rate). Using overlapping positions and allowances can
increase the maximum allowable workload. The maximum load on the j-th project at a certain time
interval is determined by the amount of involvement of the i-th performer in the j-th project (hours, or
% rate).
    For the purpose of analyzing the involvement of human resources in the project portfolio,
methodological support has been developed.
    A method for analyzing the involvement of human resources in a portfolio of projects.
    Stage 1. Formation of maximum permissible engagement metrics for each job position:
    •    determining the maximum possible degree of involvement in the project;
    •    determination of the maximum allowable load in the whole organization;
    •    determination of the maximum load in one project at a certain time interval.
   Stage 2. Determination of prohibited combinations of involved performers.
   At the stage of determining the prohibited combinations of the involved performers, a check is
performed:
   •    prohibited combination of roles by one performer within the i-th project:
                                     ZS1={ZS11, …, ZS1i, …, ZS1n};                                   (1)
   • prohibited combination of work performance by one performer in different projects of the
project portfolio:
                                     ZS2={ZS21, …, ZS2i, …, ZS2n };                                  (2)
   •    overlapping prohibited by the conflicts of interests of stakeholders: analysis of resource
requirements of stakeholders; stakeholder loyalty analysis:
                                     ZS3={ZS31, …, ZS3i, …, ZS3n }.                                  (3)
   After analysis for consistency, a set of prohibited alignments ZS is generated, which displays all
prohibited alignments in the project portfolio.
   Stage 3. Building a positional diagram for a portfolio of projects.
   Stage 4. Analysis of the involvement of human resources in portfolio projects using positional
diagrams:
   •    audit of a portfolio of projects by the criterion of prohibited combinations;
   •    audit of the project portfolio by the criterion of the engagement metric;
   •    audit of projects by the criterion of prohibited combinations;
   •    audit of projects by the criterion of engagement metrics.
   Stage 5. Determination of inconsistency.
   Stage 6. Development and implementation of corrective measures.
   To formalize resource management in the project, a model of the process of analyzing the
involvement of human resources in the project portfolio is proposed (Fig. 1).
   Engagement metrics can be:
   •    involvement of stakeholders in the project portfolio (characterizes the number of projects in
which a stakeholder is involved);
   •    involvement of stakeholders in the project (characterizes the level of involvement of
stakeholders in the project);
   •    interest of stakeholders in project management;
   •    interest of stakeholders in human resource management of the project;
   •    stakeholder loyalty indicator.
   In the absence of the possibility of attracting resources from the pool to the project that are not
involved in the implementation of other projects, when reallocating resources in a multi-project
environment, it is necessary to take into account the interest of stakeholders and their loyalty. In order
to reduce the risk of conflict situations, redistribution in projects is carried out among projects in
which a minimum number of stakeholders are involved:
   •    Up – many performers of projects of a project-oriented company, having a specific list of
considered stakeholders;
   •    Uр0 – many performers of projects in which certain stakeholders are not involved;
   •    Upi – many project executors, in which only the i-th stakeholder is involved;
   •    Up1,2 – a lot of project executors, in which the 1st and 2nd stakeholders are involved;
   •    Up1, ..., |ST| – many project executors in which all stakeholders are involved.
   The use of a logical-combinatorial approach will allow analyzing the distribution of human
resources between projects in a project portfolio.
   The use of positional diagrams [23] visualizes the analysis of the degree of involvement of
performers in the project. If the executor is involved in the execution of the project, then he is
displayed in the corresponding elements of the positional diagram.
   The diagram of overlapping projects by the parameters of performers, stakeholders is shown in
Fig. 2.
Figure 1: Model of the process of analyzing the involvement of human resources in a project
portfolio (Processes: F1 – formation of engagement metrics; F2 – determination of prohibited
combinations of involved performers; F3 – construction of positional diagrams for a project
portfolio; F4 – analysis of human resources involvement; F5 – determination of inconsistency; F6 –
development and implementation of corrective actions Inputs: I1 – a group of i inputs (i = 1, ..., n),
displaying information about the i-th project; І2 – resource requirements of stakeholders; I3 –
corporate standards; I4 – HR service; I5 – method for constructing positional diagrams; I6 – job
descriptions; I7 – analysis method; I8 – stakeholders Outputs: O1 – boundary permissible
engagement metrics; O2 – prohibited alignments; O3 – positional diagrams of a project portfolio; O4
– analysis results; O5 – verification results; O6 – corrective actions; O7 – report)

                                                                                                                          ST4

                                                                                                                          ST5

                                                                                                                          ST6

                   Up0        Up6         Up5         Up5,6         Up4         Up4,6         Up4,5         Up4,5,6

                   Up3       Up3,6       Up3,5       Up3,5,6       Up3,4       Up3,4,6       Up3,4,5       Up3,4,5,6

                   Up2       Up2,6       Up2,5       Up2,5,6       Up2,4       Up2,4,6       Up2,4,5       Up2,4,5,6

                  Up2,3     Up2,3,6     Up2,3,5     Up2,3,5,6     Up2,3,4     Up2,3,4,6     Up2,3,4,5     Up2,3,4,5,6

                   Up1       Up1,6       Up1,5       Up1,5,6       Up1,4       Up1,4,6       Up1,4,5       Up1,4,5,6

                  Up1,3     Up1,3,6     Up1,3,5     Up1,3,5,6     Up1,3,4     Up1,3,4,6     Up1,3,4,5      Up3,4,5,6

                  Up1,2     Up1,2,6     Up1,2,5     Up1,2,5,6     Up1,2,4     Up1,2,4,6     Up1,2,4,5     Up1,2,4,5,6

                  Up1,2,3   Up1,2,3,6   Up1,2,3,5   Up1,2,3,5,6   Up1,2,3,4   Up1,2,3,4,6   Up1,2,3,4,5   Up1,2,3,4,5,6

ST1   ST2   ST3

Figure 2: Diagram of project overlap by parameters performers, stakeholders |ST|=6
   The distribution of human resource management processes in time depends on the stage of project
implementation. Since the resources in the project are involved in a certain time interval, then after
the work is completed, the resources are released, which can later be used in other projects.
   Donor-acceptor resource interaction in a multi-project environment is due to the presence of a
single pool of organizational resources, within which resources are redistributed between the work of
donor projects and acceptor projects.
   If it is necessary to attract additional resources to the project, an assessment is made of the
possibility of redistributing resources (availability of resources, their availability, cost and duration of
redistribution).
   Method for analysis of stakeholder-oriented resource reallocation:
   Stage 1. Determination of the matrix of changes in multi-project environment projects.
   Stage 2. Determining the involvement of stakeholders in projects of a multi-project environment.
   Stage 3. Building a responsibility matrix for projects in a multi-project environment.
   Stage 4. Determination of indicators of involvement of performers in stakeholder projects.
   Stage 5. Determination of the stakeholder loyalty matrix.
   Stage 6. Determination of the overlap of projects by the parameter human resources.
   Stage 7. Analysis of project overlap in terms of human resources and stakeholder loyalty.
   Stage 8. Constructing options for redistribution taking into account the loyalty of stakeholders
using positional diagrams.
   Application of the developed method makes it possible to take into account the level of loyalty of
the stakeholders of human resource management processes when reallocating resources in a multi-
project environment.

4. Results
   Let's consider the application of the proposed method.
   Let the stakeholders who are involved in project management be identified:
   ST={ST1, ST2, ST3, ST4, ST5, ST6}.
   ST1={Р1, Р2, Р4, Р6, Р8, Р10};
   ST2={Р3, Р4, Р5};
   ST3={Р1, Р4, Р7, Р9};
   ST4={Р2, Р6, Р8, Р10};
   ST5={Р3, Р4, Р10};
   ST6={Р5, Р8}.
   Projects implemented by stakeholders are shown in Table 1.

Table 1
Stakeholder Projects Matrix
   ST/P        P1      P2          P3       P4        P5       P6       P7        P8       P9        P10
    ST1         1         1        0         1        0        1         0        1        0          1
    ST2         0         0        1         1        1        0         0        0        0          0
    ST3         1         0        0         1        0        0         1        0        1          0
    ST4         0         1        0         0        0        1         0        1        0          1
    ST5         0         0        1         1        0        0         0        0        0          1
    ST6         0         0        0         0        1        0         0        1        0          0


   ST-equivalence of projects – projects have the same combination of stakeholders involved.
   In the considered example of a portfolio of projects, ST-equivalent projects P2 and P6.
   The matrix of overlapping projects by the parameters of projects, stakeholders is shown in Fig. 3.
                                                                                                                                    ST4
                                                                                                                                    ST5
                                                                                                                                    ST6
                               -            -             -         -           -                1             1           0
                                                                                                (Р 8 )       (Р 10 )
                               -            0            1         0            0                0             0           0
                                                       (Р 4 )
                               -          1              2         0            0                 0            0           0
                                         (Р 5 )       (Р 3Р 4)
                              1           0              1         0            0                 0            0           0
                             (Р 4 )                    (Р 4 )
                              -             0            2         0            3                 0            1           0
                                                     (Р 4Р 10 )           (Р 2 Р 6 Р 10 )                    (Р 10 )
                            2               0            1         0            0                 0            0           0
                         (Р 1Р 4)                      (Р 4 )
                            1               0            1         0            0                 0            0           0
                          (Р 4 )                       (Р 4 )
                            1               0            1         0            0                 0            0           0
                          (Р 4 )                       (Р 4 )
       ST1   ST2   ST3


Figure 3: Diagram of project overlap by parameters projects, stakeholders

   A set of project teams implemented in a multi-project environment (Table 2):
   P1={q1, q5, q7, q11, q14, q16, q18, q20};
   P2={q2, q4, q6, q8, q9, q12, q14, q15, q17, q19};
   P3={ q1, q2, q4, q7, q10, q13, q17, q19};
   P4={q1, q5, q7, q9, q11, q13, q15, q18, q20};
   P5={q2, q5, q6, q8, q10, q12, q15, q17, q19};
   P6={q6, q13, q16};
   P7={q2, q3, q7, q10, q18};
   P8={q4, q8, q13, q16, q18};
   P9={q1, q3, q6, q11, q15, q20};
   P10={q2, q5, q9, q17}.

Table 2
Matrix of performers who can participate in the redistribution
 Q/P                                               Q/P
                                                                   P10




                                                                                                                                               P10
         P1
              P2
                   P3
                         P4
                                   P5
                                        P6
                                                P7
                                                     P8
                                                              P9




                                                                                 P1
                                                                                        P2
                                                                                                 P3
                                                                                                         P4
                                                                                                                P5
                                                                                                                       P6
                                                                                                                               P7
                                                                                                                                    P8
                                                                                                                                          P9




 q1      1    0    1     1         0    0       0     0       1    0     q11      1         0     0      1         0   0       0    0     1    0
 q2      0    1    1     0         1    0       1     0       0    1     q12      0         1     0      0         1   0       0    0     0    0
 q3      0    0    0     0         0    0       1     0       1    0     q13      0         0     1      1         0   1       0    1     0    0
 q4      0    1    1     0         0    0       0     1       0    0     q14      1         1     0      0         0   0       0    0     0    0
 q5      1    0    0     1         1    0       0     0       0    1     q15      0         1     0      1         1   0       0    0     1    0
 q6      0    1    0     0         1    1       0     0       1    0     q16      1         0     0      0         0   1       0    1     0    0
 q7      1    0    1     1         0    0       1     0       0    0     q17      0         1     1      0         1   0       0    0     0    1
 q8      0    1    0     0         1    0       0     1       0    0     q18      1         0     0      1         0   0       1    1     0    0
 q9      0    1    0     1         0    0       0     0       0    1     q19      0         1     1      0         1   0       0    0     0    0
 q10     0    0    1     0         1    0       1     0       0    0     q20      1         0     0      1         0   1       0    0     1    0
   Based on the analysis of project teams implemented in a multi-project environment, we determine
the indicators of the involvement of performers in the projects of stakeholders (Tables 3, 4).

Table 3
A quantitative indicator of the involvement of performers in the projects of the stakeholders
Q/ ST ST1        ST2    ST3      ST4   ST5    ST6 Q/ ST ST1 ST2             ST3     ST4 ST5           ST6
 q1       2        2        3    0       2     0          q11    2        1   3         0   1         0
 q2       2        2        1    2       2     1          q12    1        1   0         1   0         1
 q3       0        0        2    0       0     0          q13    3        2   1         2   2         1
 q4       2        1        0    2       1     1          q14    2        0   1         1   0         0
 q5       3        2        2    1       2     1          q15    2        2   2         1   1         1
 q6       2        1        1    2       0     1          q16    3        0   1         2   0         1
 q7       2        2        3    0       2     0          q17    2        2   0         2   2         1
 q8       2        1        0    2       0     2          q18    3        1   3         1   1         1
 q9       3        1        1    2       2     0          q19    1        2   0         1   1         1
 q10      0        2        1    0       1     1          q20    3        1   3         1   1         0

Table 4
Involvement of performers in stakeholder projects
  Q/ ST        ST1             ST2            ST3                ST4              ST5           ST6
   q1           P1, Р4          P3, Р4       Р1, Р4, Р9           0           Р3, Р4            0
   q2          P2, Р10          P3, Р5          Р7              Р2, Р10       Р3, Р10           Р5
   q3             0               0           Р7, Р9              0               0             0
   q4           P2, Р8           Р3                0            Р2, Р8            Р3            Р8
   q5         P1, Р4, Р10       P4, Р5        Р1, Р4             Р10          Р4, Р10           Р5
   q6           P2, Р6           Р5             Р9              Р2, Р6            0             Р5
   q7           P1, Р4          P3, Р4       Р1, Р4, Р7           0           Р3, Р4            0
   q8           P2, Р8           P5                0            Р2, Р8            0         Р5, Р8
   q9         P2, Р4, Р10        Р4             Р4              Р2, Р10       Р4, Р10           0
  q10             0             P3, Р5          Р7                0               Р3            Р5
  q11           P1, Р4           Р4          Р1, Р4, Р9           0               Р4            0
  q12             Р2             Р5                0              Р2              0             Р5
  q13         P4, Р6, Р8        Р3, Р4          Р4              Р6, Р8        Р3, Р4            Р8
  q14           Р1, Р2            0             Р1                Р2              0             0
  q15           P2, Р4          P4, Р5        Р4, Р9              Р2              Р4            Р5
  q16         P1, Р6, Р8          0             Р1              Р6, Р8            0             Р8
  q17          P2, Р10          P3, Р5             0            Р2, Р10       Р3, Р10           Р5
  q18         P1, Р4, Р8         Р4          Р1, Р4, Р7           Р8              Р4            Р8
  q19             Р2            P3, Р5             0              Р2              Р3            Р5
  q20         P1, Р4,Р6          Р4          Р1, Р4, Р9           Р6              Р4            0
    Table 3 shows that q3 participates only in the projects of the third stakeholder, which will ensure
the transfer between projects without additional approval.
      For the given example, a diagram of the overlap of projects by the parameters of performers,
stakeholders is built.
      For the considered case, when several stakeholders are involved in the implementation of the
project, we adjust the positional diagram, exclude the corresponding combinations of stakeholders
from consideration:
                                                 {0,0,0,0,0,0};
                                                 {1,0,0,0,0,0};
                                                 {0,1,0,0,0,0};
                                                 {0,0,1,0,0,0};
                                                 {0,0,0,1,0,0};
                                                 {0,0,0,0,1,0};
                                                 {0,0,0,0,0,1}.
    To take into account the interests of stakeholders and identify a potential conflict in the
redistribution of project portfolio resources, it is proposed to use a loyalty matrix, which reflects the
relationship between stakeholders.
    The loyalty matrix element reflects the assessment by the i-th stakeholder of the attitude towards
the j-th stakeholder. The score is measured in points:
    •    - 3 – extreme degree of dislike;
    •    - 2 – are in a state of conflict at the moment;
    •    - 1 – there were conflict situations earlier;
    •    0 – neutral attitude;
    •    1 – has a positive experience of working together;
    •    2 – ready for cooperation;
    •    3 – complete trust.
    An example of a loyalty matrix is given in Table 5.

Table 5
Stakeholder Loyalty Matrix
     SТ            SТ1                  SТ2               SТ3               SТ4              SТ5               SТ6
    SТ1             -                    0                 1                 0                2                -3
    SТ2             0                    -                 1                -2                0                 1
    SТ3             1                    1                 -                 1                1                 2
    SТ4             0                   -2                 1                 -                1                 1
    SТ5             2                    0                 1                 1                -                 1
    SТ6            -3                    1                 2                 1                1                 -

    Based on the analysis of the stakeholder loyalty matrix in the positional diagram, we determine the
projects, during the implementation of which there may be a risk of project failure due to a conflict of
interests of stakeholders.
    It was determined that the portfolio involved the first and sixth stakeholders who have an extreme
degree of hostility (-3, according to the loyalty matrix), then when analyzing the diagram, we identify
problem cells (Fig. 4): Up1,6, Up1,5,6, Up1,4,6, Up1,4,5,6, Up1,3,6, Up1,3,5,6, Up1,3,4,6, Up3,4,5,6, Up1,2,6, Up1,2,5,6,
Up1,2,4,6, Up1,2,4,5,6, Up1,2,3,6, Up1,2,3,5,6, Up1,2,3,4,6, Up1,2,3,4,5,6.
                                                                                                                                       ST4

                                                                                                                                       ST5

                                                                                                                                       ST6

                        Up 0        Up 6         Up 5         Up 5,6         Up 4         Up 4,6         Up 4,5         Up 4,5,6

                        Up 3       Up 3,6       Up 3,5       Up 3,5,6       Up 3,4       Up 3,4,6       Up 3,4,5       Up 3,4,5,6

                        Up 2       Up 2,6       Up 2,5       Up 2,5,6       Up 2,4       Up 2,4,6       Up 2,4,5       Up 2,4,5,6

                       Up 2,3     Up 2,3,6     Up 2,3,5     Up 2,3,5,6     Up 2,3,4      Up 2,3,4,6    Up 2,3,4,5     Up 2,3,4,5,6

                        Up 1       Up 1,6       Up 1,5       Up 1,5,6       Up 1,4       Up 1,4,6       Up 1,4,5       Up 1,4,5,6

                       Up 1,3     Up 1,3,6     Up 1,3,5     Up 1,3,5,6     Up 1,3,4      Up 1,3,4,6    Up 1,3,4,5      Up 3,4,5,6

                       Up 1,2     Up 1,2,6     Up 1,2,5     Up 1,2,5,6     Up 1,2,4      Up 1,2,4,6    Up 1,2,4,5     Up 1,2,4,5,6

                       Up 1,2,3   Up 1,2,3,6   Up 1,2,3,5   Up 1,2,3,5,6   Up 1,2,3,4   Up 1,2,3,4,6   Up 1,2,3,4,5   Up 1,2,3,4,5,6

     ST1   ST2   ST3



Figure 4: Overlap diagram (problem cells)

   Fig. 5 shows a diagram of overlapping projects by parameters performers, stakeholders (numbers
of performers are indicated).




Figure 5: Diagram of project overlap by parameters performers, stakeholders

   The analysis of the positional diagram reveals a conflict over the involvement of performers in
projects. When redistributing resources corresponding to the configuration of the positional diagram
cells: ST1 = 1, ST6 = 1, it is necessary to take into account the interest of stakeholders in a specific
resource and to carry out the redistribution only upon agreement with the stakeholders (Table 6). If
other stakeholders are involved in the redistribution, it is possible to smooth out the conflict, since
they, having a positive level of loyalty towards ST1 and ST6, can positively influence the position of
the first and sixth stakeholders.
Table 6
Performer of works at ST1=1, ST6=1
        Stakeholder configuration                                         Performers
   {1, 0, 0, 0, 0, 1}                          q2 q4q5q6 q8 q12q13 q15q16q17q18q19
   {1, 0, 0, 0, 1, 1}                          q2q4q5q13q15q17q18q19
   {1, 0, 0, 1,0, 1}                           q2 q4 q5q6 q8 q12q13 q15q16 q17q18q19
   {1, 0, 0, 1, 1, 1}                          q2 q4q5 q13q15 q17q18q19
   {1, 0, 1, 0, 0, 1}                          q2q5q6 q13 q15q16 q18
   {1, 0, 1, 0, 1, 1}                          q2q4q5q13q15 q17q18q19
   {1, 0, 1, 1, 0, 1}                          q2q5q6q13 q15q16q18
   {1, 0, 1, 1, 1, 1}                          q2q5q13q15q18
   {1, 1, 0, 0, 0, 1}                          q2q4q5q6q7q8q9q10q11q12q13q14q15q16q17q18q19q20
   {1, 1, 0, 0, 1, 1}                          q2q4q5 q13 q15q17q18q19
   {1, 1, 0, 1, 0, 1}                          q2 q4q5q6 q8q12q13q15 q17q18q19
   {1, 1, 0, 1, 1, 1}                          q2q4q5 q13 q15 q17q18q19
   {1, 1, 1, 0, 0, 1}                          q2 q5q6 q13 q15 q18
   {1, 1, 1, 0, 1, 1}                          q2 q5 q13q15 q18
   {1, 1, 1, 1, 0, 1}                          q2 q5q6q13 q15 q18
   {1, 1, 1, 1, 1, 1}                          q2 q5 q13 q15 q18

   The most critical is the redistribution of resources for the configuration ST = {1, 0, 0, 0, 0, 1},
executors q2, q4, q5, q6, q8, q12, q13, q15, q16, q17, q18, q19, since this configuration of stakeholders does not
include the involvement of other stakeholders. For the second and fourth stakeholders, conflicts do
not arise, since there is no overlap of projects in which these stakeholders are involved. Thus, it is
advisable to redistribute resources into the project, taking into account the results of the analysis of
the involvement of human resources in the project portfolio.

5. Conclusion
    The problems of planning a project with limited resources and planning a project with limited
resources and limited multitasking are urgent problems that require the development of modern
methods and approaches. At the same time, the dynamic change in customer requirements, the impact
of the project environment, aggressive competition for key resources, the impact of social trends and
the consequences of the COVID-19 pandemic lead to the need to constantly monitor the allocation of
resources in a multi-project environment and ensure flexible reallocation of resources between
projects throughout the entire life cycle. portfolio of projects.
    Methods for analyzing the attraction of human resources to a project portfolio are proposed, based
on the use of logical-combinatorial and stakeholder-oriented approaches in managing teams of a
multi-project organization, which, in contrast to the existing ones, carries out resource analysis of
projects, which makes it possible to increase the efficiency of using human resources in the project
portfolio. A promising direction is software for automating the analysis of the provision of human
resources to projects in a multi-project environment.

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