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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Towards a new modeling method for developing a balanced hierarchical strategy for heterogeneous organizations: the case of universities</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Nadezhda Titova</string-name>
          <email>ntitova@hse.ru</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Aleksey Shutov</string-name>
          <email>ashutov@hse.ru</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Margarita Karpunina</string-name>
          <email>karpunina-margarita@yandex.ru</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>National Research University Higher School of Economics</institution>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>National Research University Higher School of Economics</institution>
          ,
          <addr-line>25/12 Bolshaja Pecherskaja Ulitsa, Nizhny Novgorod 603155</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>The importance of strategic management today is unquestionable. However, when strategizing the organization is often regarded as a single whole, differences in aims and areas of operation of its parts not being considered. This approach works for many organizations, but in the case of a distributed structure its parts may function in the markets which have different requirements, competition intensity and qualification of consumers. Besides, the departments of that organization may have different levels of development. In our present work we do not consider the whole range of distributed organizations, but concentrate on universities, as they have common characteristics with commercial organizations and, at the same time, are very specific in their rules and areas of development. We focus on developing a new modeling method for decision support while designing a balanced hierarchical strategy for distributed universities. This implies beginning from the strategy for the whole organization and moving on to development of individual strategies for its departments. Thus, the proposed method contains two parts: a sub-method to develop departmental strategies and a sub-method to calculate interaction among departments. This article describes the proposed structure and semantics of the model which can be used in the both of sub-methods.</p>
      </abstract>
      <kwd-group>
        <kwd>distributed organization</kwd>
        <kwd>distributed university</kwd>
        <kwd>business process modeling</kwd>
        <kwd>organizational structure</kwd>
        <kwd>simulation modeling</kwd>
        <kwd>DEMO</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>competitive is increasingly a matter of organizational flexibility and timely response
to external changes. As a consequence, the system is often being decentralized
through delegating considerable authority to the department level. Moreover, when
markets where the departments operate and their history are not homogenous, their
levels of development and goal-setting principles may vary greatly. It is therefore
likely that the described specific dissimilarities at the lower level of management are
typical for activities that require expertise, knowledge and talent of the staff as the
main resource.</p>
      <p>We argue that ensuring organization’s competitiveness in such environment
necessitates drafting both overall organizational strategy and individual programs for
departments. Each individual strategy must comply with the overall course of action, but
at the same time consider the specificity of state and goals of separate departments.
Due to different individual goals it is particularly important to maintain the unity of
the organization. Development programs corresponding to the above- mentioned
requirements will be further referred to as balanced hierarchical strategies.</p>
      <p>The suggested approach is, in our point of view, especially relevant for large
geographically distributed organizations which include structural elements with different
levels of development and operate in different segments of product and service
markets. Large universities are a good illustration of such heterogeneous organizations.</p>
      <p>This paper seeks to propose a model for building balanced hierarchical strategy for
universities.</p>
      <p>When using the method it is necessary to solve two problems:
1. Define, to what extent the individual development programs for each department
must correlate with the overall strategy of the University,
2. Develop methods allowing to consider reciprocal impact of development of
different departments within the University.</p>
      <p>The model is based on assessment of the initial state and achieved results of
university development through several parameters “quality of educational services“,
“financial state“, “level of science and research“, “public image“ corresponding to the
strategic goals of the University.</p>
      <p>This work being at the inception stage, we cannot yet report the results either
supporting or disproving our approach.</p>
      <p>The article presents our approach as follows. Section 1 presents the overview of
relevant works on analysis and simulation of interaction among various departments
of educational institutions focusing on achievement of strategic goals. Section 2
contains formal requirements to the model of heterogeneous university and description of
the suggested model which may be used for development of its strategy. This section
describes what has been done at the first stage of our research, namely general task
setting, input data, courses of development of algorithms and methods of
interdepartmental interactions and development. Section 3 contains our proposals for
determining particular values of the model parameters based on the high-level
ontological model.</p>
    </sec>
    <sec id="sec-2">
      <title>Context of the research</title>
      <p>
        The university is a complex structure. In the conditions of decreasing public
financing, common today for most countries, it should be considered as a commercial
organization operating in competitive environment. The issues of developing growth
strategies, planning operations, expanding and improving provided services are
therefore essential and require a thorough analysis of large amounts of data, development
and assessment of various scenarios. The use of decision support systems to analyze
university performance has been described in the following works: academic DSS for
resource distribution [
        <xref ref-type="bibr" rid="ref1 ref2">1-2</xref>
        ], measurement of effectiveness [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ], planning [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ], strategic
planning [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], etc. Thus, [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] suggests using a decision-making assistance system
which allows to model scenarios and assessment techniques. The system processes
data from various sources and outputs the population of important values and their
correlations. In [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ] the studies of academic process are focused on supply-demand
ratio of academic services with faculties as service providers and students as
consumers. Teaching staff is the major resource.
      </p>
      <p>
        The following work [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ] analyses the mechanisms of technology transfer (TTM)
which enable researchers to assess whether the achieved results match the goals of the
university. These are regarded as a medium between the university and society.
Research, joint ventures, business-incubators and technological clusters can be
considered as TTM complementing conventional methods: HR development schemes,
scientific advice, scientific and technological services, recruitment, etc. ANP-based
MCDA method is used [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] and AHP [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] to work out the method which allows to
measure the compliance of the university goals and its courses of action. Other works
present the attempts to calculate the correlation between research and teaching
activity. The authors put emphasis on studies of quantitative assessment of correlation
between research and educational functions of the academic staff. It is calculated by
comparing effectiveness of teaching (basing on students’ rating) and academic
activities (basing on quantity and value of publications). [
        <xref ref-type="bibr" rid="ref10 ref11 ref12 ref9">9-12</xref>
        ].
      </p>
      <p>
        The following research [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ] focuses on methods of funds’ distribution taking into
account goals, development indicators and other additional parameters. This work’s
difference from others [
        <xref ref-type="bibr" rid="ref14">14</xref>
        ] lies in the fact that the authors suggest allocating the
finance according to the performance of individual departments and measuring their
productivity with regard to university’s priorities.
      </p>
      <p>
        The work [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ] describes a specific simulation game allowing to perform a Vensim
Software – based simulation. Having designed and tested the model for relevance, the
authors developed on its basis a game which makes possible simulation of long-term
strategic goals of management, such as student/teachers training, assessment of
quality of teaching and research productivity. The results of the conducted research prove
the game useful for purposes of strategic management.
      </p>
      <p>
        The next paper [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] analyses relation between research and teaching activity of
universities. The research confirms the existence of this relation and describes its
categories. A similar issue is examined in [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ], however it focuses on how students
and teachers consider scientific research, emphasizing the difference in their views.
      </p>
      <p>
        Having analyzed the large body of literature on software and modeling tools for
strategic management in universities, the following can be said:
1. The previous studies on building strategies for universities have solved various
relevant, however isolated tasks (resource distribution, identifying relations
between academic activity and teaching, etc.). Those studies have not dealt with the
issue of forming interconnected overall organizational strategy and individual
courses of action of its departments which would consider the interests at different
management levels and ensure sustainable and effective development.
2. Most studies focus on assessing various quantitatively defined development
indicators, including those used to solve tasks on optimization, planning and
modeling of behavior.
3. The following widely-used modeling tools can be mentioned:
─ Various modifications of neuron nets. The biggest advantage of the methodology is
its minor sensitivity to accuracy of separate characteristics’ assessments used for
modeling. At the same time, collective features of those characteristics are well
represented. Neuron nets are often suitable for modeling in the conditions of
nonlinear correlations when traditional probability methods do not apply [
        <xref ref-type="bibr" rid="ref20 ref21 ref22">20-22</xref>
        ];
─ The most widely-used method of analysis is multi-criteria decision analysis
(namely ANP [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]), designed to solve the overall task of organizational development
when priorities are clearly set.
4. The main limitation of works on strategy development is, however, their
theoretical emphasis which is revealed through use of expert information without
establishing procedures of its obtaining and verification.
      </p>
      <p>
        The decision makers really need some consolidation approach which binds the
isolated tasks into a consistent strategy. To model the university’s business processes and
achievement of strategic goals, modern approaches to business process modeling and
management can be used. For example, the work [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ] describes the use of BPMN
methodology [
        <xref ref-type="bibr" rid="ref17">17</xref>
        ] to structure the university’s business processes. BPMN is a
universally recognized tool for business modeling and it is very efficient in various spheres.
However, universities have an important difference from industrial organizations:
many processes are based on flexible communication between partly autonomous
actors. At large extend strategic development and innovations adoption in the
university depend on such bottom-to-up communication processes which may be well
described and studied in the framework of language-action perspective, and particularly
using J. Habermas’ theory [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ]. This theory serves as a basis for the DEMO
methodology [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ] that suggests a coherent set of business-process modeling techniques. The
choice and application of DEMO will be thoroughly explained in Section 3.4.
      </p>
    </sec>
    <sec id="sec-3">
      <title>Suggested method for decision support</title>
      <p>We propose a method which is based on the particular formal model. The model is
used to simulate the designing of overall development strategy for a large
heterogeneous university. Different divisions of a university have different business processes,
distribution markets and levels of development. Another purpose of our model is to
forecast the consequences of decisions made in relation to the overall and particular
strategies. Due to specificities of the target market and the existing level of
development, they are considered to have different goals and priorities.</p>
      <p>With a certain degree of approximation, it can be suggested that the outcome of
implementation of competitive strategy is the sum of the outcomes of various
departments. Conversely, knowing the overall organizational development strategy we can
estimate individual strategies of departments. It is also taken into consideration that
although departments are not usually linked by a single business process, they impact
each other. This is caused by exchange of academic services, interdisciplinary
research, influence of stakeholders’ perception of one departments on the image of
others, etc. Thus development of each separate department depends not only on its track
record, resources available and chosen strategy but also on the state of other
departments. .</p>
      <p>
        There are various ways of selecting indicators of University performance, e.g. [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ],
[
        <xref ref-type="bibr" rid="ref10">10</xref>
        ], [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ], [
        <xref ref-type="bibr" rid="ref15">15</xref>
        ]. However, realizing the importance of their relatively accurate
qualitative assessment both for the University and its departments, we have chosen another
approach based on the following assumption. When the organization and its
departments behave rationally their competitive strategy corresponds to requirements of
their major stakeholders. . Consequently if we consider the market of school-leavers
their basic requirement is high quality of educational services and the relevant
strategy would be achieving quality leadership. Analyzing such groups of stakeholders as
state, society, research and technologies market, it can be observed that in the
conditions of technological progress achieving research leadership (which can be compared
to the competitive “time leadership”) is becoming more and more acute; besides, it
ensures leadership in quality of academic services.
      </p>
      <p>Finally, taking into account all internal stakeholders, we suppose that financial
state of university is not only the means of achieving strategic goals but a
selfcontained strategic goal and it defines the “financial leadership” strategy.</p>
      <p>The model shall solve the following Universities tasks:
1. Describe the external environment in which the university operates, and the
mechanisms of their interactions,
2. Describe distinguishing characteristics of the university’s internal environment:
organizational structure, interaction of structural elements, degree of strategic
development of the whole university and its parts;
3. Identify overall strategy (without considering its internal heterogeneity),
4. Identify strategies of separate departments,
5. Forecast consequences (at both organizational and departmental levels) of
various strategic decisions:
─ setting the degree of unification for overall and departmental development
strategies;
─ setting the degree of a department’s financial independence when choosing its
course of development;
6. Define the development strategy for the university taking into consideration
development of its parts.
7. Enable modeling of “what-if” situations for various scenarios of the overall and
departmental development considering their interaction.
3.1</p>
      <sec id="sec-3-1">
        <title>Input data for modeling</title>
        <p>We include to the model the following input parameters which fully characterize
modern heterogeneous universities (Table 1).</p>
        <p>Parameter
Organizational
structure and staff</p>
        <sec id="sec-3-1-1">
          <title>System of relations, dependencies and rules of interaction</title>
        </sec>
        <sec id="sec-3-1-2">
          <title>System of goals</title>
          <p>and indicators</p>
          <p>Description
─ number of departments,
─ number of staff,
─ internal and external relations of the departments,
─ current data on departmental development.
─ relations of the whole university and its departments with</p>
          <p>the outside world,
─ relations inside the university,
─ degree of autonomy of the departments (including
finan</p>
          <p>cial) stipulated by the internal regulations,
─ how various activities of the whole university and its
de</p>
          <p>partments influence the involvement of external resources;
─ how the efficiency of the whole university and its
depart</p>
          <p>ments is influenced by the involved financial resources,
─ how the dynamics of each structural element is influenced</p>
          <p>by neighbor elements’ development
─ internal pricing in the university
─ general system of universities goals and their correlation</p>
          <p>with the characteristics of its progress,
─ current level of development of the whole university
(income, level of scientific development, image, quality of
educational services). The sum of figures obtained from
the departments must be equal to the overall indicator.
─ the desired indicator values (income, level of scientific
development, image, quality of educational services). The
aggregate of each parameter (in some cases considering
specific coefficients which reflect the size of departments)
for all departments must be equal to the aggregate value
for the whole university</p>
          <p>We shall examine the basic principles of the suggested approach to define the
development strategy for the University.</p>
          <p>
            Having applied DEMO [
            <xref ref-type="bibr" rid="ref19">19</xref>
            ], we describe business processes in the organization (in
section 3.2 are given the reasons for choosing this methodology) We are able,
therefore, to identify the essentials and ontological transactions of university’s operations.
We base on the DEMO model to calculate the quantitative characteristics of processes
upon which depend the indicators, weight numbers, etc.
          </p>
          <p>The DEMO model enables us to define relations among divisions, interaction with
the outside world and its density, degree of autonomy of divisions, intensity of
transactions, correlation between goals and transactions. (Fig. 1)</p>
          <p>Using this input data we model the functioning of the university. The results of
modeling are used to build the development strategy. The process is diagrammatized
on Fig.</p>
          <p>DEMO
(Ontological
Transactions,</p>
          <p>Entities)</p>
          <p>Metrics,</p>
          <p>Weight
coefficients
For the model we use statistics on the University performance. Section 3.1 generally
describes all the necessary output data. Through regression analysis we deduce
various weight numbers, e.g. for the size of the nth division and , which sets
weighting of the -th division by the -th indicator at the initial stage of simulation,
i.e. when (of section 3). We shall use the DEMO model to calculate weight
coefficients.</p>
          <p>
            We have already mentioned that business processes can be described with the help
of different tools and notations, The most commonly used approach is BPMN [
            <xref ref-type="bibr" rid="ref17">17</xref>
            ],
which provides not only modeling tools but also business processes’ management
instruments. We, however, suggest using DEMO to solve this task and support our
choice with the arguments given below.
          </p>
          <p>
            In universities, many processes are initiated by the staff. A large number of
employees are involved in academic activity (e.g. research) which is introduced by
themselves. To advance in their research the staff publish articles, participate in
conferences, involve students, interact with other faculties as these studies often become
interdisciplinary. The university provides them with financial and organizational
support since they influence its development and, in the long run, the achievement of
business goals. Yet it is the staff who generate ideas and create processes. The major
distinguishing characteristic of these processes is that they are verbal arrangements
not secured by contracts (especially during development) , i.e. based on
communication. A famous researcher of communication and the founder of the theory of
communicative action is J. Habermas [
            <xref ref-type="bibr" rid="ref18">18</xref>
            ]. This theory provides a very transparent
explanation of how communication works. At the core of the theory lies the assumption
that people strive towards consensus when they have to accomplish things together. In
DEMO Habermas’ theory serves as the basis for explaining how communication
enables coordination [
            <xref ref-type="bibr" rid="ref19">19</xref>
            ]. A very important point in conditions of verbal communicative
actions is the mechanism of transaction rollback, which was also shown through
DEMO basing on Habermas’ theory. Thus, the principles of the university operation
comply with the theory of communicative action.
          </p>
          <p>Another important statement in favor of DEMO is that, unlike other
methodologies, it accurately determines levels of transactions: ontological, infological,
datalogical. A competent and experienced researcher will certainly define the level of
abstraction regardless of methodology and notations, but in our case we decided upon
the methodology which contains formal rules to distinguish transactions. DEMO
helps minimize risks of obtaining inadequate result if an unexperienced analyst deals
with the task. Furthermore, we do not need a business process management system.</p>
          <p>
            Several parameters and coefficients can be deduced using DEMO [
            <xref ref-type="bibr" rid="ref19">19</xref>
            ].
          </p>
          <p>
            DEMO is a methodology for the design, engineering, and implementation of
organizations and networks of organizations. The entering into and complying with
commitments is the operational principle for each organization. These commitments
are established in the communication between social individuals, i.e. human beings.
[
            <xref ref-type="bibr" rid="ref23">23</xref>
            ].
          </p>
          <p>
            In DEMO the basic pattern of a business transaction is composed of the following
three phases [
            <xref ref-type="bibr" rid="ref24">24</xref>
            ]:
─ An actagenic phase during which a client requests a fact form the supplier agent.
─ The action execution which will generate the required fact
─ A factagenic phase, which leads the client to accept the results reported
The DEMO methodology gives the analyst an understanding of the business processes
of the university, as well as the agents involved, but is less clear about pragmatics
aspects of the transaction, such as the conversation structure and the intentions
generated in each agents mind [
            <xref ref-type="bibr" rid="ref24">24</xref>
            ].
          </p>
          <p>Besides, we have to extract only the data which affects the processes; this task can
also be solved by DEMO. Fig.2.shows the ATD-diagram of the major processes in the
University.
The Construction Model (CM) establishes the organizational construction
according to operational axiom. This is the highest level of organization and the most
concise DEMO model. СМ contains:</p>
          <p>This diagram shows the major actors and transactions. This is an upper level
diagram; it can be particularized by each Actor:</p>
          <p>A01 – curriculum development, academic programme development and agreement,
ratings’ generation.</p>
          <p>A04 – analysis of courses of development, search for grant opportunities for
research, design and engineering, setting up laboratories, design and training groups.</p>
          <p>A05 – analysis of courses of development in other NRUs, working out joint
projects, collaboration (student exchange, scientific projects).</p>
          <p>A07 – Budgeting (public and commercial), allocating funds to faculties, general
expenses of University).</p>
          <p>Other Actors - advertising, admission, educating, recruitment, external
projects, academic work, ratings’ calculation.</p>
          <p>Further are described (not given in the article):</p>
          <p>Process Model (PM) – defines patterns for each transaction in CM. It also shows
causal and conditional relations among transactions, thus presenting state and space
of transactions in the “coordination environment” of the organization. PM is shown
by the Process Structure Diagram (PSD).</p>
          <p>Action Model (AM) – specifies the rules for actions according to which Actors’
roles are performed in order to achieve the goals, Similar to CM and PM , AM
contains information about actors’ roles and transactions among them, casual and
conditional relations..</p>
          <p>State Model (SM) – specifies the state-space of “productive environment” of the
organization. The model contains the following components: class objects, types of
facts and output, existing order. These elements can be visualized through Object Fact
Diagram (OFD) and Object Property List (OPL) provided by the State Model..</p>
          <p>Interstriction Model (ISM) is the second part of CM. It identifies relations among
actor roles in the organization and information banks used by them. ISM introduces
Actor Bank Diagram (ABD) and Bank Contents Table (BCT). When ATD and ABD
are integrated, we have the Organization Construction diagram (OCD).</p>
          <p>The thorough development of mechanism to obtain quantitative characteristics
using DEMO is underway. But our principal idea is to describe quantitative
characteristics and correlation among transactions, objects and facts.
3.3</p>
        </sec>
      </sec>
      <sec id="sec-3-2">
        <title>Calculating development indicators: methodology</title>
        <p>We assess performance indicators of the whole university by comparing them with
the value of similar indicators in other universities. Main indicators are:
– finance, – quality of educational services, – science and research, – public
image</p>
        <p>̅̅̅̅ – indicator per salaried teachers in university
– the total number of salaried teachers in university.</p>
        <p>̅̅̅̅ - indicator per salaried teachers in other universities,
– the total number of salaried teachers in the division,</p>
        <p>̅̅̅̅ - indicator per one salaried teacher in the division.</p>
        <p>The method of calculating each indicator is given below:</p>
      </sec>
      <sec id="sec-3-3">
        <title>Finance.</title>
        <p>For the whole university this component is assessed by comparing University
consolidated budget allocated to one member of teaching staff with the amounts assigned
in other universities.</p>
        <p>The consolidated budget is all the funds annually allotted to university regardless
of the source (public or commercial), type of service (educational, scientific,
consulting) and organizational level (to the whole university or to its separate departments).</p>
        <p>How to calculate:
(1)
– annual budget of university.</p>
        <p>Towards a new modeling method for developing a balanced hierarchical strategy
11
The maximum rate is deduced from the set of similar indicators in other Russian
universities having the status of National Research University.</p>
        <p>The current financial state of each department is calculated in a like manner, but
for normalization we use the maximum value of this indicator among all departments
of university.</p>
        <p>How to calculate:
- annual budget of the division
*100
(2)
(3)
(4)
(5)
(6)
For departments, the scientific activity is calculated from the average number of
academic publications of their staff.</p>
        <p>How to calculate:
The most important factors affecting financial development of divisions are
represented by the rules which:
1. Define how the overall budget is divided between the needs of the
whole university and separate departments;
2. Define how the overall divisional budget is distributed among the
parts of the university:
─ In equal parts (formally),
─ In equal parts, but considering the number of staff, goals set for the division,
divergence between those goals and current achievements in proportion to their
“status” (their financial well-being compared to others); and in proportion to
their financial “weakness”.</p>
      </sec>
      <sec id="sec-3-4">
        <title>Science and Research.</title>
        <p>The scientific development of the university is calculated from the average number
of academic publications.</p>
        <p>How to calculate:
–number of academic publications of university staff.</p>
        <p>- number of academic publications per department.</p>
      </sec>
      <sec id="sec-3-5">
        <title>Public Image.</title>
        <p>For the whole university this indicator is the ratio of the number of mentions in the
Internet to the overall number of mentions of all National Research Universities.</p>
        <p>How to calculate:
- number of mentions about university in the Internet.</p>
        <p>The maximum is deduced from the set of similar indicators in other Russian
universities having the status of National Research University.</p>
        <p>The image of each division is estimated as competition for admission:
How to calculate:
– competition for admission in university,</p>
        <p>- competition for admission in other universities.</p>
      </sec>
      <sec id="sec-3-6">
        <title>Quality of educational services.</title>
        <p>The quality is based on independent ratings.</p>
        <p>How to calculate:</p>
        <p>- independent rating of university.</p>
        <p>For each division this indicator is also based on independent ratings.</p>
        <p>How to calculate:</p>
        <p>∑
– internal ratings of teachers.</p>
        <p>The indicators (Science and Research, Quality of educational services, Public Image,
Finance) must correlate with the strategic goals of university.
(7)
(8)
(9)
(10)
(11)
(12)
(13)
Towards a new modeling method for developing a balanced hierarchical strategy
13</p>
      </sec>
      <sec id="sec-3-7">
        <title>Behavior and interaction of divisions.</title>
        <p>The organizational structure of the University can be conveniently represented by a
tree, where nodes are the structural elements of the organization and lines show
information, financial or resource flows among the elements. . The hierarchical
principle enables us to single out those departments where strategizing is one of the goals of
the system development, and to introduce the notion of hierarchy. In Fig.1 the lowest
level represents employees, the second – departments, the next – faculties, etc.
Departments, faculties and branches are divisions of different types, their composition is
explicitly defined by the hierarchical structure. Fig 3. shows only hierarchical
relations - subordination, not cooperation. In our model we assume that horizontal
relations exist among faculties and campuses. Since a faculty is a cost center and all its
departments and employees strive for the common goal, direct interaction is possible
only among cost centers. We do not consider informal communication as it can not be
viewed as business goals, but any contacts within the university are authorized by
faculties - cost centers.</p>
      </sec>
      <sec id="sec-3-8">
        <title>Modeling of dynamic processes in the University.</title>
        <p>To model dynamic processes we use the notion “the state of the system”
(University) at the point in time t :
̅̅̅̅
̅̅̅̅̅
(14)</p>
        <p>Where i – development indicator index, – finance, – quality of educational
services, – science and research, – public image. These characteristics are
described in section 3.2.</p>
        <p>The transfer function for the dynamic system is thus:
– number of structural divisions in the university,</p>
        <p>[ ] – division-to-division correlation ratio,
sets external influences</p>
        <p>To forecast the organizational structure therefore means to stabilize the dynamic
system</p>
        <sec id="sec-3-8-1">
          <title>With the specified limitations for its states: where and are minimum and maximum values of -th indicator characterizing an interval in which the total university value of this indictor at the point of time should be included.</title>
          <p>The state of the university can be represented as the superposition of states of its
divisions:</p>
          <p>where we can show each state as a dynamic subsystem with its own transfer
function
where
represents the structure of the university at the point of time
:
j
[
]</p>
          <p>̅̅̅̅̅
(15)
(16)
(17)
(18)
(19)
(20)
(21)
can be</p>
          <p>(22)
– value
are
stands for the division structure at the point of time .</p>
          <p>The state of the university by the -th indicator at can be shown as the combined
value for all departments with regard to the weight coefficient , depicting sizes of
divisions</p>
          <p>∑
Where – the state of division by the -th indicator at the point of time
described by the following function
Where – sets weighting of the -th division by the -th indicator at ,
of the -th indicator of the -th division at . The ways to measure and
described in the section 3.2
Towards a new modeling method for developing a balanced hierarchical strategy
15</p>
          <p>The system complicates if we assume that development indicators are not static
and vary in time in the following way:
where – vector of values of -th indicators for all departments at . This law of
alteration of development indicators’ values allows to consider cross-dependence
among the analyzed parameters.</p>
          <p>If we allow cross-dependence within the system at the point of time , then the
state of the –th division by the -th indicator at can be described with the
function:
∑
̅̅̅̅
̅̅̅̅̅
Where – the set of divisions providing resources by the -th indicator to the -th
division in exchange for resources by the –th indicator from the –th division. For
example, if then defines the set of divisions providing
scientific services to the division #1 in exchange for finance from this department. Thereby
the values “level of development” for each indicator aggregates not only the value of
each indicator derived resources produced by the division, but also the value derived
from resources received from other divisions for internal contracts.</p>
        </sec>
      </sec>
      <sec id="sec-3-9">
        <title>Hierarchical principle: correlation at the same level and among levels.</title>
        <p>If we use the hierarchical principle, i.e. choose the function Iitkl , where
number of hierarchy level, then the number of divisions will be the function of the
number of the level and ̅̅̅̅̅̅̅̅̅</p>
        <p>Then (23) is the function of the alteration of development indicators for each
division at the same level of hierarchy and the equation
⏟</p>
        <p>(
̅̅̅̅̅̅̅̅̅
̅̅̅̅̅̅̅̅̅̅̅̅̅̅
(23)
(24)
– the
(25)
(26)
(
)
̅̅̅̅
̅̅̅̅̅̅̅̅̅
̅̅̅̅̅̅̅̅̅̅̅̅̅̅
is the function of the level and defines how the dynamics of indicators at the l level
affects the level l 1 , establishing the system of interactions inside the university
(section 3). (25) sets the ascending motion through the levels of the hierarchy.</p>
        <p>The law of alteration of development indicators including relations at the same
level (23), and among levels (25) is</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Conclusion</title>
      <p>In this work we offered a model for developing a balanced hierarchical strategy of a
modern heterogeneous university, which meets the requirements from different
management levels and large parts of organization. Building the overall strategy is a
hierarchical and iterative process: both “top to bottom” (from overall to individual
strategies) and “bottom to top” approaches were considered. The model takes into account
the requirement to maintain the organizational integrity while giving departments
more rights for achieving their goals.</p>
      <p>The model contains a concise set of metrics for evaluating the current state of the
university and correspondence of its activities to the strategic goals. Also the offered
model describes the details of organizational structure of the university at a
reasonable level of granularity. Furthermore, not only do we use business process modeling
to analyze the processes within the university, but also combine it with analytical
metrics. We propose to use such model as a base for a new method of decision
support when developing a balanced hierarchical strategy. The metrics of the model
facilitate evaluation of tangible and intangible outcomes in the case of application of
different scenarios.</p>
      <p>In comparison with other known approaches our research brings on the table
several new advantages. The distinguishing characteristics of the suggested approach are:
─ Departmental strategies are based on the overall logic of organizational
development but their status and interests are also taken into account. The overall strategy
results from implementation of individual strategies. The resulting vector of
development is the sum of multidirectional vectors of individual strategies limited by the
basic principles of the overall strategy.
─ The state of the university and each of its departments is described through the set
of characteristics («Quality of educational services», «Financial state», «Level of
science and research» and «Public Image»). The choice of characteristics and
calculation methods for them were defined by the most relevant demands of various
groups of stakeholders and the opportunity to obtain relatively accurate
information at university and departmental levels. The combination of their values
defines the overall universities strategy and individual strategies of departments and
their input in implementation of the overall development program.
─ Departmental development strategies can be defined individually (according to the
overall development program).
─ Universities characteristics («Quality of educational services», «Financial state»,
«Level of science and research» and «Public image») are calculated considering
similar characteristics of the best Russian universities.
─ To receive objective results of modeling , the university is regarded as an open
management system; it manifests through dependency of the amount of obtained
external resources on its development and through relative values of the set of
characteristics. For their normalization were used maximum values of the similar
characteristics throughout the country.</p>
      <p>Towards a new modeling method for developing a balanced hierarchical strategy
17
─ Changes in characteristics at management levels in a defined period of time are
interpreted as quantitative expression of chosen strategy.
─ Performance of each division depends not only on its history and available
resources, but also on the state of other departments. This approach enables the
management to harmonize interests of various departments.
─ Rules of state-to-state change for the university and its departments (depending on
history and available resources) shall be defined on the basis of the previous years’
statistics.</p>
      <p>Our research opens a perspective to constructing a method of decision support,
which may be implemented in the form of clear and user-friendly systems. To achieve
this goal we see the following important issues for further elaborating and research:
─ To refine and verify the mathematical model using the statistical data on the
university performance,
─ To calculate quantitative characteristics of the university performance using</p>
      <p>DEMO,
─ To design decision-support systems in order to build overall and individual
strategies for large university and their divisions whose business processes, markets and
levels of development are heterogeneous.</p>
      <p>The model under development can be used for decision support while building
strategies for large complex organizations where departments act and (relatively)
autonomously develop in market segments with different features.
.
5</p>
    </sec>
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