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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Model of Scrum Team Reaching an Effective Level</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Lukianov Dmytro</string-name>
          <email>lukianov@live.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Sherstiuk Olha</string-name>
          <email>olusha972@gmail.com</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Ph.D., Professor, Belarusian National Technical University, Republic of Belarus</institution>
          ,
          <addr-line>Minsk</addr-line>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Ph.D., Senior Lecturer, Odessa National Maritime University</institution>
          ,
          <addr-line>Ukraine, Odesa</addr-line>
        </aff>
      </contrib-group>
      <abstract>
        <p>The article proposes to consider the possibility of predicting of reaching a stable level of “speed” for the implementation of project requirements by project teams when implementing projects using such an approach that is well-known throughout the world and gaining popularity in the post-Soviet space as Scrum. It is proposed to consider such a characteristic of an effective project implementation team as self-organization from the point of view of group dynamics and the need for purposeful management of minimizing the time to achieve maximum productivity.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>
        In some works of the author devoted to role models of project teams [
        <xref ref-type="bibr" rid="ref7 ref8">7, 8</xref>
        ], an attempt was also made to
mathematically substantiate such relationships throughout the project life cycle [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ].
      </p>
      <p>
        Methodology. One of the "silver bullets", which is referred to as a universal recipe for the success of
the project team (again, based on, first of all, the definition of the development team in Scrum), is self-organization.
But, as rightly noted in the already mentioned work [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]: “It is obvious that in order to master Scrum, it takes time.
There are new roles and activities in it. And, especially hard, it requires the adoption of new values. We have to give
our developers the opportunity to organize themselves to do the work. It is easy to convene Scrum rallies and call each
other new Scrum roles. But in fact, it’s very difficult to really make Scrum. ” What can we say about those situations
when there is a need to implement projects where “just Scrum” is already insufficient? One can hardly expect a quick
and painless “self-organization” from the project team, if, of course, it is no longer an established team. At a minimum,
at the initial stage of team building, you need to understand the main roles and their interaction. For Scrum, these are
the roles of the product owner and the scrum master. As the main tools for researching the project life cycle, the
effectiveness (and speed) of the work of project teams, we will consider the following set:
a) Model of B. Tuckman [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]
b) Model of R. Belbin's roles in an effective team [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]
c) Scrum roles [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]
      </p>
      <p>
        You can expand the list of models used, but for the general picture of the above, it is enough, in particular,
the author also uses the Belbin role model [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ], as well as the Drexler-Sibbet model [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ] of the team reaching the
maximum performance level.
      </p>
      <p>We use the PAEI model to demonstrate the basic idea of I. Adizes that it is impossible to be equally well
(and ideally excellent) to be developed (and maintain this level constantly) in all four (PAEI) areas / role styles /
preferences .</p>
      <p>We need B. Tackman's model to understand the importance of controlling the dynamics of the team reaching
the most productive mode (ideally, of course, also effective). In the logic of such an approach as Scrum, this can be
associated with achieving and maintaining a high “speed” of the team’s work as the ability to “digest” a certain total
indicator of the “complexity” of the selected sprint backlog content during the sprint.</p>
      <p>Roles Scrum we need in order to do a “mapping” with the corresponding “roles” in the PAEI model of I.
Adizes.</p>
      <p>
        Results. It should be noted, as was already shown in [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ], that the necessity of taking roles by the project
team members is also due to the fact that without this it is hardly worth hoping to establish a further effective
communication process. In particular, in [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] it is proposed, on the basis of the Markov model of communications
constructed by the authors, to consider the following transition process diagram between the “subroles” of the project
participants in the logic of R. Belbin's model (Fig. 2). As you can see in the transition process diagram, at least five
“steps” are needed in the constructed discrete model based on the transition probability matrix for an optimized role
interaction process, so as to ensure the most efficient project implementation (p10). The transition process diagram
presented in Fig. 2 between the following components of role communication in the project team after stabilization
(five modeling steps) shows the following distribution: p1 – resource investigator, p2 – plant, p3 – coordinator, p4 –
team worker, p5 – shaper, p6 – specialist, p7 – implementer, p8 – complete finisher, p9 – monitor evaluator, p10 –
actually, the project – with all its properties and changing requirements.
      </p>
      <p>
        In the diagram, in descending order, after the 5th step (each of the “steps” in this case can be interpreted as a
“sprint”, similar to the model logic given in [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]), the following hierarchy of project communications is built: p6 –
specialist &gt; p10 – project&gt; p3 – coordinator&gt; p8 – complete finisher &gt; p7 – implementer &gt; p2 – plant&gt; p4 – team worker
&gt; p5 – shaper&gt; p9 – monitor evaluator &gt; p1 – resource investigator.
      </p>
      <p>Discussion. Of course, the presented results of the study are rather descriptive, but, on the other hand, it
allows us to formulate a number of hypotheses that will be interesting to verify, including using quantitative analysis
methods, namely:</p>
      <p>a) analysis of other role models, such as the already mentioned Drexler-Sibbet model and the construction of
corresponding mathematical models for them (based on Markov systems) with the analysis of transients, should lead
to similar results (the number of “steps” - “sprints” should not be significant differ);</p>
      <p>b) if hypothesis is true a) it is possible to carry out mapping work (analysis of the equivalence of roles and
their combinations from one role model to another);</p>
      <p>c) to conduct a serious quantitative study, in particular, based on the analysis of “combustion diagrams” of
tasks in projects implemented by various teams of performers with a view to the output of such teams at planned
maximum performance and predictability (“velocity”). The main idea is that the first 5-6 sprints should not be expected
from the teams to unconditionally match the “plan” and the “fact”, regardless of the qualifications of the team members
(an exception may be for teams coming to a new project entirely after successful implementation of the previous
definition, already in the required state of maximum efficiency).</p>
      <p>
        On the other hand, the results obtained can also be considered as an occasion for a possible correction of the
hypothesis expressed by M. Belbin [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] about the need for a balance between the carriers of various role-playing
patterns in the team in order to achieve the maximum level of team work overall. At least in the practice of one of the
authors of this article, there is a steady upward trend in the imbalance in the distribution of roles in truly successful
and effective teams when analyzing the results of testing of their participants. Initially, such an imbalance was found
in the dynamics of changing role relationships in the environment of a permanent organization, within the framework
of which projects were initiated with sufficient frequency, the participants of which were the same people, and it was
possible to observe such a pool of human resources for several years. Research in this direction continues now [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ].
      </p>
      <p>
        When using the Belbin test in working with teams and creating “team profiles”, the hypothesis of an
“unaccounted team member” arose for the first time when a successfully functioning organization was tested that
implements various projects related to the development and release of new products consisting of various
combinations of employees in project teams, where the most obvious imbalance was found in an unexpected place
directly in the team of top managers of this enterprise (for the first time - data for 2009). In the described case [
        <xref ref-type="bibr" rid="ref12">12</xref>
        ],
one of the modifications (9-role model) of the standard Belbin test was used, which at that time usually contained
eight roles. Significantly different from all the roles of the “Controller” and “Analytics” in the overall standings. An
analysis of this situation showed that part of the team-wide functionality was nevertheless given by the most “vivid
representatives” of various roles, but, nevertheless, no “bright Controllers” and “bright Analysts” were found.
      </p>
      <p>This particular company in question had, as it turned out, an automated enterprise management system that
was sufficiently developed for its time, which can be attributed to the class of ERP systems not only by the name of
the software package, but also by the functionality actually used. It was these results that first became the basis for the
hypothesis of the existence of an “invisible team member” - the enterprise information system. Moreover, for such a
participant “on his behalf” a test was also passed, which showed even somewhat unexpected results: for example, for
the “information system” there were non-zero values for the roles “Innovator” and “Mediator”.</p>
      <p>Conclusion. Definitely, further research in this direction will be of both scientific and practical interest,
on the other hand, the data and conclusions obtained even in this way allow making a general conclusion that it is
necessary to take into account the logic and pace of transformation of the project “participants” to the project “team”,
for which it makes sense, at least, to create conditions for the speedy passage in the team, first of all, of the processes
associated with the formation of the project team without expecting that the newly formed team will be able to achieve
high productivity from the first days / sprints of the project team. Perhaps, to reduce the time the project team reaches
the maximum level of productivity, the first 5-10 sprints should work in weekly sprints mode (in the logic of the
Markov model constructed by the authors, one “discrete step” is equal to one “sprint”, as some kind of communication
cycle from adoption decisions on the content of the sprint before conducting a retrospective on its completion), where
the main task will be primarily to create a team.</p>
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