=Paper= {{Paper |id=None |storemode=property |title=Towards a new modeling method for developing a balanced hierarchical strategy for heterogeneous organizations: the case of universities |pdfUrl=https://ceur-ws.org/Vol-963/paper1.pdf |volume=Vol-963 }} ==Towards a new modeling method for developing a balanced hierarchical strategy for heterogeneous organizations: the case of universities== https://ceur-ws.org/Vol-963/paper1.pdf
     Towards a new modeling method for developing a
     balanced hierarchical strategy for heterogeneous
          organizations: the case of universities

              Nadezhda Titova1, Aleksey Shutov2, Margarita Karpunina2
                1
                  National Research University Higher School of Economics,
                      20 Mjasnitskaja Ulitsa, Moscow 101000, Russia ,
                                     ntitova@hse.ru
                2
                  National Research University Higher School of Economics,
            25/12 Bolshaja Pecherskaja Ulitsa, Nizhny Novgorod 603155, Russia ,
                ashutov@hse.ru karpunina-margarita@yandex.ru




       Abstract. 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 consid-
       ered. This approach works for many organizations, but in the case of a distrib-
       uted structure its parts may function in the markets which have different re-
       quirements, 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 organiza-
       tions, 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 organiza-
       tion and moving on to development of individual strategies for its departments.
       Thus, the proposed method contains two parts: a sub-method to develop de-
       partmental strategies and a sub-method to calculate interaction among depart-
       ments.
          This article describes the proposed structure and semantics of the model
       which can be used in the both of sub-methods.

       Keywords: distributed organization, distributed university, business process
       modeling, organizational structure, simulation modeling, DEMO


1      Introduction

   In today’s world the organizations are known to grow rapidly, both in terms of
quantity and quality, which often leads to considerable gaps in development between
various departments of one organization. This can be explained not only by the differ-
ence in market demands but also by internal characteristics of a department. Being
2


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.
   We argue that ensuring organization’s competitiveness in such environment neces-
sitates drafting both overall organizational strategy and individual programs for de-
partments. 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 re-
quirements will be further referred to as balanced hierarchical strategies.
   The suggested approach is, in our point of view, especially relevant for large geo-
graphically distributed organizations which include structural elements with different
levels of development and operate in different segments of product and service mar-
kets. Large universities are a good illustration of such heterogeneous organizations.
   This paper seeks to propose a model for building balanced hierarchical strategy for
universities.
   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 differ-
   ent departments within the University.

   The model is based on assessment of the initial state and achieved results of uni-
versity 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.
   This work being at the inception stage, we cannot yet report the results either sup-
porting or disproving our approach.
   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 con-
tains 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 inter-
departmental interactions and development. Section 3 contains our proposals for de-
termining particular values of the model parameters based on the high-level ontologi-
cal model.
Towards a new modeling method for developing a balanced hierarchical strategy         3


2      Context of the research

The university is a complex structure. In the conditions of decreasing public financ-
ing, common today for most countries, it should be considered as a commercial or-
ganization operating in competitive environment. The issues of developing growth
strategies, planning operations, expanding and improving provided services are there-
fore 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 [1-2], measurement of effectiveness [3], planning [4], strategic
planning [1], etc. Thus, [5] 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 [5] the studies of academic process are focused on supply-demand
ratio of academic services with faculties as service providers and students as consum-
ers. Teaching staff is the major resource.
    The following work [6] 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. Re-
search, joint ventures, business-incubators and technological clusters can be consid-
ered as TTM complementing conventional methods: HR development schemes, scien-
tific advice, scientific and technological services, recruitment, etc. ANP-based
MCDA method is used [7] and AHP [8] 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 activi-
ty. The authors put emphasis on studies of quantitative assessment of correlation be-
tween research and educational functions of the academic staff. It is calculated by
comparing effectiveness of teaching (basing on students’ rating) and academic activi-
ties (basing on quantity and value of publications). [9-12].
    The following research [13] focuses on methods of funds’ distribution taking into
account goals, development indicators and other additional parameters. This work’s
difference from others [14] lies in the fact that the authors suggest allocating the fi-
nance according to the performance of individual departments and measuring their
productivity with regard to university’s priorities.
    The work [1] 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 quali-
ty of teaching and research productivity. The results of the conducted research prove
the game useful for purposes of strategic management.
    The next paper [10] 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 [15], however it focuses on how students
and teachers consider scientific research, emphasizing the difference in their views.
4


   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 be-
    tween 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 non-
  linear correlations when traditional probability methods do not apply [20-22];
─ The most widely-used method of analysis is multi-criteria decision analysis (name-
  ly ANP [7]), 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.

The decision makers really need some consolidation approach which binds the isolat-
ed 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 [16] describes the use of BPMN
methodology [17] to structure the university’s business processes. BPMN is a univer-
sally 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 univer-
sity depend on such bottom-to-up communication processes which may be well de-
scribed and studied in the framework of language-action perspective, and particularly
using J. Habermas’ theory [18]. This theory serves as a basis for the DEMO method-
ology [19] that suggests a coherent set of business-process modeling techniques. The
choice and application of DEMO will be thoroughly explained in Section 3.4.
Towards a new modeling method for developing a balanced hierarchical strategy          5


3       Suggested method for decision support

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 heterogene-
ous 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 develop-
ment, they are considered to have different goals and priorities.
   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 depart-
ments. 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 re-
search, influence of stakeholders’ perception of one departments on the image of oth-
ers, 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 depart-
ments. .
   There are various ways of selecting indicators of University performance, e.g. [3],
[10], [13], [15]. However, realizing the importance of their relatively accurate qualita-
tive assessment both for the University and its departments, we have chosen another
approach based on the following assumption. When the organization and its depart-
ments 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 strate-
gy would be achieving quality leadership. Analyzing such groups of stakeholders as
state, society, research and technologies market, it can be observed that in the condi-
tions 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.
   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 self-
contained strategic goal and it defines the “financial leadership” strategy.
   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 vari-
       ous strategic decisions:
6


    ─ setting the degree of unification for overall and departmental development strat-
      egies;
    ─ 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 de-
       velopment of its parts.
    7. Enable modeling of “what-if” situations for various scenarios of the overall and
       departmental development considering their interaction.


3.1     Input data for modeling
We include to the model the following input parameters which fully characterize
modern heterogeneous universities (Table 1).

          Parameter                                 Description

    Organizational        ─ number of departments,
    structure and staff   ─ number of staff,
                          ─ internal and external relations of the departments,
                          ─ current data on departmental development.

    System of rela-       ─ relations of the whole university and its departments with
    tions, dependen-        the outside world,
    cies and rules of     ─ relations inside the university,
    interaction           ─ degree of autonomy of the departments (including finan-
                            cial) stipulated by the internal regulations,
                          ─ how various activities of the whole university and its de-
                            partments influence the involvement of external resources;
                          ─ how the efficiency of the whole university and its depart-
                            ments is influenced by the involved financial resources,
                          ─ how the dynamics of each structural element is influenced
                            by neighbor elements’ development
                          ─ internal pricing in the university

    System of goals       ─ general system of universities goals and their correlation
    and indicators          with the characteristics of its progress,
                          ─ current level of development of the whole university (in-
                            come, 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
Towards a new modeling method for developing a balanced hierarchical strategy          7


                            specific coefficients which reflect the size of departments)
                            for all departments must be equal to the aggregate value
                            for the whole university


                            Table 1. Output data for modeling
   We shall examine the basic principles of the suggested approach to define the de-
velopment strategy for the University.
   Having applied DEMO [19], we describe business processes in the organization (in
section 3.2 are given the reasons for choosing this methodology) We are able, there-
fore, 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.
   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 trans-
actions, correlation between goals and transactions. (Fig. 1)
   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.

                         DEMO
                                          Metrics,
                      (Ontological
      Organization                         Weight        Modeling        Strategy
                      Transactions,
                                         coefficients
                        Entities)

                                         Fig. 1.


3.2      Tuning and validating parameters of the model of heterogeneous
         Universities.

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 vari-
ous 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.
    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 [17],
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.
    In universities, many processes are initiated by the staff. A large number of em-
ployees are involved in academic activity (e.g. research) which is introduced by them-
selves. To advance in their research the staff publish articles, participate in confer-
ences, involve students, interact with other faculties as these studies often become
interdisciplinary. The university provides them with financial and organizational
8


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 communica-
tion. A famous researcher of communication and the founder of the theory of com-
municative action is J. Habermas [18]. This theory provides a very transparent expla-
nation 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 ena-
bles coordination [19]. 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.
   Another important statement in favor of DEMO is that, unlike other methodolo-
gies, it accurately determines levels of transactions: ontological, infological, datalogi-
cal. A competent and experienced researcher will certainly define the level of ab-
straction 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.

   Several parameters and coefficients can be deduced using DEMO [19].
   DEMO is a methodology for the design, engineering, and implementation of or-
ganizations 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.
[23].
   In DEMO the basic pattern of a business transaction is composed of the following
three phases [24]:

─ 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 gener-
ated in each agents mind [24].
   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.
Towards a new modeling method for developing a balanced hierarchical strategy     9




                                 Fig. 2. ATD Diagram

  The Construction Model (CM) establishes the organizational construction accord-
  ing to operational axiom. This is the highest level of organization and the most
  concise DEMO model. СМ contains:
   This diagram shows the major actors and transactions. This is an upper level dia-
gram; it can be particularized by each Actor:
   A01 – curriculum development, academic programme development and agreement,
ratings’ generation.
   A04 – analysis of courses of development, search for grant opportunities for re-
search, design and engineering, setting up laboratories, design and training groups.
   A05 – analysis of courses of development in other NRUs, working out joint pro-
jects, collaboration (student exchange, scientific projects).
   A07 – Budgeting (public and commercial), allocating funds to faculties, general
expenses of University).
   Other Actors -           advertising, admission, educating, recruitment, external
projects, academic work, ratings’ calculation.
   Further are described (not given in the article):
   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).
10


   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 con-
tains information about actors’ roles and transactions among them, casual and condi-
tional relations..
   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..
   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).

   The thorough development of mechanism to obtain quantitative characteristics us-
ing DEMO is underway. But our principal idea is to describe quantitative characteris-
tics and correlation among transactions, objects and facts.



3.3    Calculating development indicators: methodology
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
         ̅̅̅̅ – indicator per salaried teachers in university
   – the total number of salaried teachers in university.
           ̅̅̅̅ - indicator per salaried teachers in other universities,
   – the total number of salaried teachers in the division,
         ̅̅̅̅ - indicator per one salaried teacher in the division.
   The method of calculating each indicator is given below:


Finance.
   For the whole university this component is assessed by comparing University con-
solidated budget allocated to one member of teaching staff with the amounts assigned
in other universities.
   The consolidated budget is all the funds annually allotted to university regardless
of the source (public or commercial), type of service (educational, scientific, consult-
ing) and organizational level (to the whole university or to its separate departments).
   How to calculate:

                                                                                     (1)

      – annual budget of university.
Towards a new modeling method for developing a balanced hierarchical strategy
11

                                                                                     (2)

The maximum rate is deduced from the set of similar indicators in other Russian uni-
versities having the status of National Research University.
   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.
   How to calculate:

                                                                                     (3)

       - annual budget of the division

                                             *100                                    (4)

The most important factors affecting financial development of divisions are repre-
sented 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, di-
    vergence 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”.


Science and Research.
   The scientific development of the university is calculated from the average number
of academic publications.
   How to calculate:

                                                                                     (5)

   –number of academic publications of university staff.

                                                                                     (6)

For departments, the scientific activity is calculated from the average number of aca-
demic publications of their staff.
  How to calculate:
12


                                                                                     (7)

        - number of academic publications per department.

                                                                                     (8)


Public Image.
   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.
   How to calculate:

                                                                                     (9)

     - number of mentions about university in the Internet.

                                                                                   (10)

   The maximum is deduced from the set of similar indicators in other Russian uni-
versities having the status of National Research University.
   The image of each division is estimated as competition for admission:
   How to calculate:

                                                                                   (11)

        – competition for admission in university,
           - competition for admission in other universities.


Quality of educational services.
  The quality is based on independent ratings.
  How to calculate:

                                                                                   (12)

      - independent rating of university.
For each division this indicator is also based on independent ratings.
  How to calculate:

                                          ∑
                                                                                   (13)

     – internal ratings of teachers.
The indicators (Science and Research, Quality of educational services, Public Image,
Finance) must correlate with the strategic goals of university.
Towards a new modeling method for developing a balanced hierarchical strategy
13
3.4    Behavior and interaction of divisions.
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 in-
formation, financial or resource flows among the elements. . The hierarchical princi-
ple 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. De-
partments, faculties and branches are divisions of different types, their composition is
explicitly defined by the hierarchical structure. Fig 3. shows only hierarchical rela-
tions - subordination, not cooperation. In our model we assume that horizontal rela-
tions 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.




                      Fig. 3.Tree model of organizational structure


Modeling of dynamic processes in the University.

   To model dynamic processes we use the notion “the state of the system” (Universi-
ty) at the point in time t :
                                          ̅̅̅̅       ̅̅̅̅̅                         (14)

   Where i – development indicator index,       – finance, – quality of educational
services, – science and research,      – public image. These characteristics are de-
scribed in section 3.2.
   The transfer function for the dynamic system is thus:
14


                                                                                       (15)

     where     represents the structure of the university at the point of time   :
                                          j


                                   [                 ]          ̅̅̅̅̅                  (16)


     – number of structural divisions in the university,
         [ ] – division-to-division correlation ratio,
      sets external influences
   To forecast the organizational structure therefore means to stabilize the dynamic
system

                                                                                       (17)

     With the specified limitations for its states:
                                                         ̅̅̅̅                          (18)

   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.
   The state of the university can be represented as the superposition of states of its
divisions:
                                              ̅̅̅̅          ̅̅̅̅̅                      (19)

   where we can show each state as a dynamic subsystem with its own transfer func-
tion
                                                                                       (20)

       stands for the division structure at the point of time .
   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
                                         ∑                                             (21)

Where       – the state of division by the -th indicator at the point of time        can be
described by the following function
                                                                                       (22)

Where        – sets weighting of the -th division by the -th indicator at , – value
of the -th indicator of the -th division at . The ways to measure         and   are
described in the section 3.2
Towards a new modeling method for developing a balanced hierarchical strategy
15
  The system complicates if we assume that development indicators are not static
and vary in time in the following way:
                                                             ̅̅̅̅        ̅̅̅̅̅                       (23)

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.
   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 func-
tion:

                                          ∑                                                          (24)



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 scien-
tific 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.


Hierarchical principle: correlation at the same level and among levels.
  If we use the hierarchical principle, i.e. choose the function                      I iktl , where – the
number of hierarchy level, then the number of divisions will be the function of the
number of the level             and           ̅̅̅̅̅̅̅̅̅
   Then (23) is the function of the alteration of development indicators for each divi-
sion at the same level of hierarchy and the equation

                          (    )       ̅̅̅̅          ̅̅̅̅̅̅̅̅̅            ̅̅̅̅̅̅̅̅̅̅̅̅̅̅             (25)

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.
    The law of alteration of development indicators including relations at the same lev-
el (23), and among levels (25) is

                                   (                     )             ⏟(         )                  (26)
                      ⏟

                              ̅̅̅̅       ̅̅̅̅̅̅̅̅̅               ̅̅̅̅̅̅̅̅̅̅̅̅̅̅
16


4      Conclusion

In this work we offered a model for developing a balanced hierarchical strategy of a
modern heterogeneous university, which meets the requirements from different man-
agement levels and large parts of organization. Building the overall strategy is a hier-
archical and iterative process: both “top to bottom” (from overall to individual strate-
gies) 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.
    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 reasona-
ble 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 sup-
port when developing a balanced hierarchical strategy. The metrics of the model facil-
itate evaluation of tangible and intangible outcomes in the case of application of dif-
ferent scenarios.
    In comparison with other known approaches our research brings on the table sever-
al new advantages. The distinguishing characteristics of the suggested approach are:

─ Departmental strategies are based on the overall logic of organizational develop-
  ment but their status and interests are also taken into account. The overall strategy
  results from implementation of individual strategies. The resulting vector of devel-
  opment 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 cal-
  culation methods for them were defined by the most relevant demands of various
  groups of stakeholders and the opportunity to obtain relatively accurate infor-
  mation at university and departmental levels. The combination of their values de-
  fines 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.
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 re-
  sources, but also on the state of other departments. This approach enables the man-
  agement 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.

   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 uni-
  versity performance,
─ To calculate quantitative characteristics of the university performance using
  DEMO,
─ To design decision-support systems in order to build overall and individual strate-
  gies for large university and their divisions whose business processes, markets and
  levels of development are heterogeneous.

   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.

.


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