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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>Kyiv, Ukraine, June</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Adjusting Business Processes by the Means of an Autoregressive Model Using BPMN 2.0</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Vitaliy Kobets</string-name>
          <email>vkobets@kse.org.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Valeria Yatsenko</string-name>
          <email>ValeriaYatsenko5@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Key terms. BusinessProcess</institution>
          ,
          <addr-line>EconometricModel, DynamicModel</addr-line>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Kherson State University</institution>
          ,
          <addr-line>27, 40 rokiv Zhovtnya st., Kherson, 73000</addr-line>
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Taras Shevchenko National University of Kyiv</institution>
          ,
          <addr-line>90-A, Vasulkivska st., Kiev, 03022</addr-line>
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>2016</year>
      </pub-date>
      <volume>2</volume>
      <fpage>1</fpage>
      <lpage>24</lpage>
      <abstract>
        <p>Process approach in the management of modern business entity activities opens a wide range of opportunities, ways and methods of activity reorganization, improving the quality of customer interaction, optimization of internal and external business processes. An effective tool in analyzing business processes as a central category of the process approach is modeling that increases their adaptability and mobility. We propose approach to improve and adjust business process to time and profit increasing by the means of autoregressive model using BPMN 2.0 in contrast existing approaches without econometrics analysis of experimental data for BPMN.</p>
      </abstract>
      <kwd-group>
        <kwd />
        <kwd>Business process</kwd>
        <kwd>regression</kwd>
        <kwd>BPMN</kwd>
        <kwd>profit</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>When we construct a business process by means of BPMN 2.0 we will set the initial
conditions of the operation, such as execution time and the cost of resources (e.g.,
human resources in cost per hour or piece wage). During operating of a business
process such timing and costs of the resources are chosen as would satisfy the
restrictions of a customer or designer of the business process. To support decision-making
in which direction should change the initial parameters of the business process, it is
proposed to use dynamic distributive-lag and autoregressive econometric models.
These models allow to take into account the impact of previous indices’ values of
business process on its succeeding values to assess short-run and long-run impact on
the efficiency of a business process as a whole according to specific criteria.</p>
      <p>The goal of the paper is to develop a procedure of business processes adaptation
according to cost and profitability criteria by means of autoregressive model using
BPMN 2.0.</p>
      <p>- 519</p>
      <p>Paper has following structure: section 2 is devoted to related works, section 3
demonstrates designing and adjustment of business processes, section 4 concludes.
2
2.1</p>
    </sec>
    <sec id="sec-2">
      <title>Related Work</title>
      <sec id="sec-2-1">
        <title>Dialectical Essence of the Process Approach</title>
        <p>The paradigm of the functional approach, which has long been used for organization
and management of companies, appeared to be unable flexibly and effectively to
address current challenges faced by each business entity. Focus on the functional
approach has led to the isolation of the top management from the current economic
situation that caused information asymmetries, bureaucratization of companies,
leveling of the system of incentives and reward schemes for human capital assets,
excessive localization of functions within individual units, distortion of control and analysis
system. The next stage of the management concept evolution was marked by the
emergence of process management approach that provides for a high degree of
mobility and adaptability in highly turbulent current market conditions (table 1).
.iengDUm ...trJhoSE .treavnpoTD .rIeovodF .lkoovVO ,..iepnRVV lifreeovY :-I00200109SO .lraovoFL .irednZY tirJanM .iirsevkyuBNm .ieeyknkoovdYV .reaknoonoPVm</p>
        <p>This approach allows a company to easily integrate into the concept of the
clientoriented market that meets the actual needs of society and economy (fig. 1).</p>
        <p>Finally, the analysis of the previous scientific researches demonstrated that the
process approach is the mainstream of the “business process” definition which is
considered as the logic range of interfacing in the field of customization of the
company activity for the purpose of convergence customers and producers targets.
2.2</p>
      </sec>
      <sec id="sec-2-2">
        <title>Business Process as a Central Category of the Process Approach</title>
        <p>The object of the process management concept is a “process” in which the activity of
a company is a combination of business processes, management of which allows to
significantly increase the transparency and manageability of business and to improve
its effectiveness as per specified criteria. The process is described by the parameters</p>
        <sec id="sec-2-2-1">
          <title>Strengths Weaknesses</title>
          <p>- 520


























taking into account the structural features of business processes
customer-oriented strategy
continuous optimization of cross business processes
delegation of authority and responsibility
high qualification required
specialization of administrative personnel in the strategies development
simplification of multilevel hierarchical organizational structures
simplified exchange of information
time saving
reduction of overhead costs
simplified coordination, organization and control systems
vertical integration of resource flows
high flexibility and adaptability of the management system
high degree of transparency in relations
priority of processes with a high degree of added value
risks leveling</p>
          <p>Opportunities
change of organization functioning logic and mechanism of its control
competitive growth
comprehensive effectiveness evaluation of functioning
possibility to create systems to monitor the quality of company activities
preparing for benchmarking
process approach as a reserve for enhancement of efficiency
resources optimization
high staff motivation
the possibility of team-working
possibility of integrated automation
 strict social
requirements</p>
          <p> complex design
of management system
for the account of
detailing and formalization</p>
        </sec>
        <sec id="sec-2-2-2">
          <title>Threats</title>
          <p> delegation of
authority and responsibility</p>
          <p> serious
requirements for qualification
of contractors
of time, sequence, transformation of object states during its movement to the final
state [2], which helps the company to flexibly respond to the dynamic changes, to
switch from one process to another, to comprehensively analyze the entire operational
cycle. Business process, as a part of the process approach, has its “input” and “output”
in the form of production of resources and products (goods, services or works),
respectively (fig. 2).</p>
          <p>Indexes:
 Productivity
 Cost +
 Efficienc=y
Stages of measurement:
 measuring current
values;
 compare current values
with desired;
 measuring deviations.</p>
          <p>measuring</p>
          <p>Technology, mechanism of interaction between functions and control system are
additional components of the process approach (fig. 3) [6].</p>
          <p>Controlling :creation of a system for analysis of
the current performance of BP based on the reporting;
use of information systems for results measurement and
evaluation; implementation of organizational changes
the object of management</p>
        </sec>
      </sec>
      <sec id="sec-2-3">
        <title>Correspondence of Business Processes with the Strategic Objective of the</title>
      </sec>
      <sec id="sec-2-4">
        <title>Business Entity</title>
        <p>The mechanism of leveling the differences between “AS-IS” and “AS-TO-BE”
models is the “Road map” that sets benchmarks for optimization of business processes.
“Input” resources during the process of transformation into goods, services and works
at the “output” form “AS-IS” model, the main purpose of which, according to
L. Dryuchenko, is aimed at identifying of “bottlenecks” in business process: current
problems, differences, inconsistencies, threats that can be overcome subject to radical
modernization of existing organizational and administrative decisions and procedures.
Instead, the “AS-TO-BE” model is aimed at improving the existing practice of
business process implementation [6]. Improving the effectiveness of business processes
and transition of “AS-IS” model to “AS-TO-BE” model are achieved by correlation
of current business processes with strategic installations and objectives of the business
entity, that leads to a radical rethinking of business philosophy. The theoretical basis
for the implementation of this process involves multiple possible scenarios:
reengineering, X-engineering, FAST technique, benchmarking and synergistic combination
of process and target-oriented approaches. Simulation modeling and economic
analysis are technical tools to achieve this objective.</p>
        <p>The most popular of these scenarios is the concept of reengineering, which,
according to the definition of the founders of the concept, namely M. Hammer and
J. Champy, is treated as a fundamental rethinking and radical reconstruction of
business processes. Reengineering should not be identified only with the processes of
reorganization or automation. It shall be considered in the context of a component of a
larger category – Total Quality Management (TQM) since its main function is the
fundamental transformation of the essence of processes implementation and
performance of operations at the stages of “input” and direct process, but not only increase in
efficiency or profitability of the “output”. However, in our opinion, X-engineering
theory of J. Champy is a more progressive one. This theory, unlike reengineering,
provides for a comprehensive restructuring of not only internal operations and
relations between internal staff, but also the transformation of external relations,
including not only consumers, but also other stakeholders – competitors, contact groups,
state, global economy entities [10], that will make it possible to adequately meet the
urgent needs of the economic system as a whole.
2.4</p>
      </sec>
      <sec id="sec-2-5">
        <title>Business Processes in the Coordinates of Evolutionary Economics</title>
        <p>In the context of complicating of the forms and types interfacing between
counterparties and market indeterminacy economic systems are able to
selforganization and reach the temporary equilibrium, which transforms the system from
the chaotic state to the equilibrium within the sphere of evolutionary economics,
which identifies stochastic development script.</p>
        <p>Given the actualization of the key tenets of the evolutionary economics of
J. Schumpeter, the analysis of business processes through the prism of the theory of
jokers is an interesting one. According to this analysis, some parallels can be drawn
between a business process and economic and physical method of “channels” and
“jokers” that simplifies the model, highlighting the main parameters and discarding
irrelevant ones [11]. “Input” of a business process can be compared with the “source”
from jokers theory, similarly, “Output” – the “mouth”. Conditional distinction of
parameters and processes in this area is performed for the account of determining the
degree of dynamism: the system in “sources” and “mouths” is slow, which can be
explained by the relatively stable partnership relations that are often built on
longterm cooperative basis; while the “jokers” are characterized by high dynamism and
unpredictability as production operations and actions tend to increasing volatility
because of strengthening of scientific and technical progress development (fig. 4).</p>
        <p>Riverbeds are the methods of simplification the complicates systems or processes.
Riverbeds separate the unite to the various parts and also, determine the possibility of
development process forecasting. Diverse fields of the space which are characterized
by the high level of the time rate of change and unpredictability are called jokers
( specific bifurcations ) in which the system is tested for sustainability.</p>
        <p>The mechanism of decision-making in the process approach can be represented by
the following algorithm (fig. 5).</p>
        <p>Despite the benefits of process management, empirical implementation of this
approach is characterized by a number of difficulties, including those identified by
J. Rilley: fragmentarity of processes that adversely affects the flexibility and
adaptability of business; low level of automation of processes resulting in increased
operating costs; the basis of enterprise motivation is maximization of its own profits, but not
satisfaction of customers' needs; lack of evidence-based research on the advantages
and disadvantages of modeling and optimization of business processes; rejection of
modeling and optimization through formal introduction of process management [12].</p>
        <p>Technical leveling tool for these shortcomings and limitations of the process
approach is a mechanism for predicting and adapting business processes through
modeling.</p>
        <p>Mouth
 slow dynamics;
 high degree
predictability.</p>
        <p>of
logically related operations or processes to improve the quality of business processes
through improving their forecasting, optimization, and adaptation (fig. 6).</p>
        <p>Goal


knowledge systematization;
receipt
of</p>
        <p>objective
management information.  



description and study;
optimization and automation;
monitoring and control. </p>
        <p>Objectives</p>
        <p>Advantages
improving the quality and speed of production;
reducing costs;
growth of staff professionalism;
improving competitiveness.</p>
        <p>Drawbacks
 increase of staff exploitation;
</p>
        <p>changing of the corporate culture.</p>
        <p>BP MODELING




S
T
A
G
E
S


Fig. 6. Essence of the “Business Process Modeling” category, [4, 11, 13 - 16]
Strategic
model
Functional +
Organizational
Financial model
Simulation of BP</p>
        <p>Information model</p>
        <p>Types of simulation:
analytical;
simulation (dynamic):
 discrete event;
 system dynamics;
 agent simulation </p>
        <p>Practical steps simulation:
 analysis of the economic system, its
identification;
 synthesis and formation of a model in view
of its peculiarities and mathematical
specifications;
 verification of the model and specification
of its parameters;
 clarification of all system parameters.</p>
        <p>Types of models:
 functional model – “What to do?”
 process model – “How to do the work?”</p>
        <p>We should note that under the optimization of business processes, the
interpretation of J. Harrington, a pioneer in the field, is meant. Under the specified category
J. Harrington understands improvements aimed at increasing productivity, efficiency
and adaptability of business processes [3].</p>
        <p>According to D. Kozenkov, the modern management concept reduces the
formalization of business process modeling to the process of building of enterprise
architecture with a three-level structure (fig. 7) [2].</p>
        <p>system
(Information
Technology
Architecture)</p>
        <p>Tactical
Strategic



architecture applications
architecture data;
technical architecture.
institutional model - defines the legal form, external
positioning, formalized management systems (motivations,
control).
process model - defines organizational (form, structure)
and economic model (costs and revenues model)
forms social-oriented strategic business model; corporate
mission and strategy; long-term goals and objectives
Consider the business process, which describes the manufacture of soft drink (Fig. 8).</p>
        <p>Positions of workers performing all business process operations and in-payment
forms are described in Table 2.</p>
        <p>In the menu Resources in tab Availability a maximum number of employees
available to perform business process is determined (fig. 9), and in tab Costs – piece (fixed
cost) or hourly (cost per hour) wage (fig.10).
In BPM notation business process will look like (fig. 11)</p>
        <p>Standard activity time, the number of performers and activity cost are defined for
each business process operation (Fig. 12).
The number of actually executed orders that are shipped to the end customer;
average time of each operation; delay time in operations; a share of time during which the
employee performs his work (on a scale from 0 to 100%) (fig. 13) is obtained as a
result of the business process (fig.13).</p>
        <p>Export of experimental data concerning staff costs (Fig. 14) provides an
econometric estimation of payroll costs on cost per unit (average cost) of soft drink parties.</p>
        <p>
          Export of business process activity costs (Fig. 15) from Bizagi Modeler in MS
Excel makes it possible to build an econometric model for estimating the impact of total
time of work performed on the profit of business process owner.
We estimate the impact of timing on the efficiency of business processes in the
shortrun and long-run periods. To assess the effectiveness of business processes consider
the following distributive-lagged model where current cost ( yt ) depends on the
payroll of the current and all prior periods ( xt ,..., xtn ):
(
          <xref ref-type="bibr" rid="ref1">1</xref>
          )
(
          <xref ref-type="bibr" rid="ref2">2</xref>
          )
yt  c  b0  xt  b1  xt1  ...  bn  xtn  ... .
where short-run (SR) impact in period t is bt  b0  t , t  1, 2,..., n,... .
Long b
run impact is LR   bt or after substitution we get: LR  0 . After substitution
t0 1 
of SR-impact in equation (
          <xref ref-type="bibr" rid="ref1">1</xref>
          ) we get:
        </p>
        <p>yt  c  b0  xt   yt1 .</p>
        <p>To determine the regression parameters b0 and  conduct a series of experiments
for different numbers of orders. The task of the company is to analyze the
effectiveness of the wage fund on the average cost of production. For that firm’s budget (TC)
is determined as sum of payroll and activity costs for each order (q), then we calculate
cost per unit of production (AC). After 10 experiments we obtained the following data
(table 3):</p>
        <p>After construction of regression model using experimental data from table 3 we
have:</p>
        <p>
          yt  14.5  0.0007  xt  0.888  yt1 ( R2  0.71 ). (
          <xref ref-type="bibr" rid="ref3">3</xref>
          )
The model is adequate to reality according to determination coefficient, i.e.
changing the current wage fund and activity cost and average cost of prior periods explain
71% change in the average cost of a current period. Parameter b0  0.0007 indicates
how much the cost per unit will increase with the growth of the wage fund and
activity cost of the current period to $ 1. For previous periods the influence of wage fund
and activity cost on average cost shrinks rapidly. According to Student test parameter
 is statistically significant ( t( )  3.4  2.45  tkr ), confirming the impact of per
unit cost of the previous period on the next period. That is after decreasing of total
cost in previous periods, average cost will reduce in the current period. Long-run
ef0.0007
fect LR   0.0058 describes the impact of reduction of total cost for by $1
1  0.888
in all previous periods on current average cost. If b0 is positive then we can gradually
decrease total cost (to reduce cost per unit) until b0 became negative.
        </p>
        <p>The next task of the company is to analyze the impact of the business process
duration on the company profits from soft drink production via the model of partial
adjustments. It is assumed that profit depends on the expected duration of business
process. This profit yt is observable, and the time duration of employees ( xt* ) is
unobservable value; ut is residual term of the model:</p>
        <p>yt  b0  b1  xt*  ut .</p>
        <p>xt*    xt  (1  )  xt*1 ,
where the expected time of performing the operations at time t is a weighted average
of its actual value in the current period and its expected value in the previous period
with weights  and 1  respectively.</p>
        <p>
          After the substitution of (
          <xref ref-type="bibr" rid="ref6">6</xref>
          ) in (
          <xref ref-type="bibr" rid="ref4">4</xref>
          ) we get:
yt  b0    b1  xt  (1  )  b1  xt*1  ut
(
          <xref ref-type="bibr" rid="ref4">4</xref>
          )
(
          <xref ref-type="bibr" rid="ref5">5</xref>
          )
(
          <xref ref-type="bibr" rid="ref6">6</xref>
          )
(
          <xref ref-type="bibr" rid="ref7">7</xref>
          )
        </p>
        <p>Software BPMN allows to simulate the time and resources required to perform
business process, but require additional analysis of statistical data for its adaptation by
the criterion of profitability. Procedure of determining an adaptive time performance
for operations is carried out by the econometric model of partial adjustment. We
introduce the hypothesis of adaptive expectations for the leader of the business process,
seeking to define the time of operations within which the profit for entire business
process reaches its maximum:</p>
        <p>
          xt*  xt*1    (xt  xt*1 ) , 0    1 ,

where shows the speed of adjustment (corrections) of leader’s expectations to
differences between the actual time of performing the operations and previously
expected time. Expression xt*  xt*1 shows how expectations are formed and the
expression xt  xt*1 explains how expectations are corrected. Rewrite equation (
          <xref ref-type="bibr" rid="ref4">4</xref>
          ) as:
        </p>
        <p>
          Then multiply by 1  both sides of equation (
          <xref ref-type="bibr" rid="ref1">1</xref>
          ), recorded with a delay of one
lag, and find the difference between this equation and equation (
          <xref ref-type="bibr" rid="ref7">7</xref>
          ), and then get:
yt    b0   b1  xt  (1 )  b1  yt1  vt ,
(
          <xref ref-type="bibr" rid="ref8">8</xref>
          )
where vt  ut  (1 )  ut1
        </p>
        <p>In BPMN environment for simulation data in each experiment we will change the
duration of all the company's operations at a fixed time. Then calculate the profit of
the company as the difference between its revenue and cost of resources for each time
period (t). After 10 experiments we obtain the following data (table 4):</p>
        <p>
          Regression (
          <xref ref-type="bibr" rid="ref9">9</xref>
          ) is adequate to reality according to the coefficient of determination,
i.e. changing the current performance time and profits in prior periods explain by 79%
change in profits in the current period. Taking into account the values of regression
parameters, we obtain:   0.9975 , b1  0.0037 , b0  11126.6 . Parameter
  0.9975 shows the speed of adjustment of expectations to the profit on the basis of
its actual value. The velocity adjustment shows that the business process expected
time performance xt* almost instantly adapts to the actual time performance xt . Time
performance is expected, but not observable value, whose impact on profits, in view
of (
          <xref ref-type="bibr" rid="ref9">9</xref>
          ), can be estimated from expression yt  b0  b1  xt* . It means that with increased
operation time by 1 minute the margin profit increases to $ 0.0037 . Parameter b1 is
statistically significant according to Student’s test ( t(b1)  4.73  2.45  tkr ),
confirming the significant effect of time performance on the profit of the company. Thus, for
examined project the company must adjust (increase) standards of time operations,
enabling it to increase the value of the resulting profits until parameter b1 became
negative.
4
        </p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>Conclusions</title>
      <p>Thus, the process approach in the management of modern business entity activities
opens a wide range of opportunities, ways and methods of activity reorganization,
improving the quality of customer interaction, optimization of internal and external
business processes. An effective tool in analyzing business processes as a central
category of the process approach is modeling that increases their adaptability and
mobility.</p>
      <p>Analysis of business process modeling has an analogy with evolutionary
economics in the theory of jokers and neurosystem theory. Among the future prospects of
business process modeling is the use of ontologies, which, according to T. Gruber's
opinion, in business modeling sphere is reduced to a formal specification of
conceptualization [16] that involves the use of OWL (Web Ontology Language).</p>
      <p>Another promising research vector is the use of neurosystems involving the use of
neural networks that can be effectively used in the study and analysis of dynamic
processes.</p>
      <p>It is demonstrated how we can improve and adjust business process to time and
profit increasing by the means of autoregressive model using BPMN 2.0 in contrast
existing approaches without econometrics analysis of experimental data for BPMN.</p>
    </sec>
  </body>
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