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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Formation and Implementation of Eco-Oriented Innovation Strategies for Enterprises</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Mykola Odrekhivskyі</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Uliana Kohut</string-name>
          <email>uliana.i.kohut@lpnu.ua</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Roman Kochan</string-name>
          <email>roman.v.kochan@lpnu.ua</email>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Ulyana Kostyuk</string-name>
          <email>kostyuk_u@ukr.net</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Ivano-Frankivsk National Technical University of Oil and Gas</institution>
          ,
          <addr-line>15 Karpatska str, Ivano-Frankivsk, 76000</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Lviv Polytechnic National University</institution>
          ,
          <addr-line>12 Bandery str., Lviv 79013</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>University of Bielsko-Biala</institution>
          ,
          <addr-line>2 Willowa str., Bielsko-Biala, 43-309</addr-line>
          ,
          <country country="PL">Poland</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>The paper studies approaches to the formation and implementation of eco-oriented innovation strategies, types and main properties of eco-innovations. Eco-oriented innovative strategies combine the ideas of eco-innovations being the determinant factor of the ecooriented innovation development of enterprises. The formation model of eco-oriented innovation strategies within the system of strategic development management at macro-, meso-, micro- and nano-levels in interaction with foreign countries was developed. The formation process of innovation strategies to develop an eco-oriented enterprise was structured. The model of homeostatic management of eco-oriented enterprises is formed with contradictions between the requirements for environmental friendliness of eco-oriented enterprises and their operational and economic effects, makes it possible to develop a management strategy for sustainable development of eco-oriented enterprise. The mathematical tools to assess the levels of environmental pollution by eco-oriented enterprises based on the Markov chain theory using the system of Kolmogorov differential equations was proposed. It will help to assess the implementation results of eco-oriented innovation strategies, make decisions regarding the states of business processes at eco-oriented enterprises, choose the guidelines on business processes of eco-oriented enterprises and introduce appropriate adjustments to eco-oriented innovation strategies.</p>
      </abstract>
      <kwd-group>
        <kwd>1 Eco-Oriented Innovation</kwd>
        <kwd>Eco-Oriented Enterprise</kwd>
        <kwd>Environmental Technologies</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>The current state of environmental pollution in Ukraine and the world results in the search of new
approaches to the formation and implementation of eco-oriented innovation strategies of enterprises,
which would allow on the basis of strategic management to analyse the operating conditions of the
eco-oriented enterprise (EOE), determine its mission, strategic environmental innovation goals and
objectives; identify key areas and preventive measures of eco-oriented innovation development to
maximise the use of all relevant resources. Currently, eco-oriented innovation strategies combine the
ideas of environmental innovation being a determining factor in eco-oriented innovation development
of enterprises, optimal interaction between economic development of enterprises and the environment
and is focused on minimizing the negative effect on the natural environment and sustainable
development. Therefore, the study of modern approaches to the formation and implementation of
ecooriented innovation strategies of enterprises is relevant and urgent.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Analysis of recent studies and publications</title>
      <p>The issues of eco-oriented innovation development strategies were studied by such foreign
scientists as S. Hollenson, R. Orsato, J. Ginsberg and P. Bloom and others. S. Hollenson stated that
a company should assess the degree of novelty of eco-innovation, as this factor is crucial for the
company competitiveness. The strategy selection according to this approach will depend on the way
in which the company is going to make its product greener and the pace of implementation of these
changes, the enterprise potential is based on the novelty of the innovation to be implemented. If the
company is focused on cost reduction, paying less attention to providing the product with any
additional features, then it will rely on a pollution prevention strategy. When the company seeks to
create innovation, it will focus on the strategy - a "green product; new product (significant
modification)" or the strategy of "prevention of environmental pollution and taking measures beyond
those required by the state", but if it does not have enough funds for "prevention", it will adapt
changes to the legislation and product improvements will be insignificant [1]. R. Orsato’s approach is
based on the interaction of a company's competitive advantage and its competitive focus
(organisational process orientation or product and service orientation). Depending on the degree of
this interaction, the author identifies four strategies: eco-efficiency (organisational process
orientation), external leadership (organisational process orientation), eco-branding (product and
service orientation) and price leadership (product and service orientation). The first "eco-efficiency"
strategy is used when the enterprise aims to reduce production costs while cutting down its negative
impact on the environment. The use of such policies is not usually demonstrated, as the first task here
is to increase cost savings by means of environmental measures. If “external leadership” strategy is
used, the company tries to improve its image through sustainable transformation of its operations and
attract the attention of its customers to these measures. A third environmental policy option is
“ecobranding”, which allows the company to highlight improved products. However, for long-term
success, it calls for environmental innovation in production processes. The fourth strategy according
to R. Orsato is "price leadership". It is available only when the market is available to the consumer
segments, targeted by the company, and is justified for companies offering eco-oriented products, as it
involves selling products with a high price premium [2].</p>
      <p>J. Ginsberg and P. Bloom identified four key strategies based on the size of the "green" consumer
segment in the industry and the company ability to change products in the context of its
environmental policy [3].</p>
      <p>Voloshenko O. O. [4] and Tarasenko I. O. [5] propose to divide eco-oriented innovation strategies
into four groups: co-operative and circular flows; eco-efficiency and sufficiency; clean production;
eco-modernisation. Voloshenko O. O. [4], Arundel A., Kemp R. [6], Shukla, S [7]; Arranz, N.,
Arroyabe, M., Li, J., &amp; Fernandez de Arroyabe, J. C [8] believe that these strategies are united by the
idea of eco-innovations, being a determining factor in eco-oriented innovation development of
enterprises, optimal interaction of innovation development and the environment. They divide
ecoinnovations as follows: innovations of environmental technologies; organisational innovations for the
environment; innovative products and services that provide environmental benefits; innovations of
green systems. The main properties of these eco-innovations are studied by Arranz, N., Arroyabe, M.,
Li, J., &amp; Fernandez de Arroyabe, J. C.; Ben Amara, D., &amp; Chen, H.; Geng, D., Lai, K. H., &amp; Zhu, Q.
[8-10]. It is relevant to study the environmental friendliness of the processes of implementing
ecooriented innovation strategies. Kharichkov S. K. and Averikhina T.V. [11] propose to assess the
level of environmental friendliness of projects, programs and enterprises as a whole in stages and
analyse the implementation of each stage. To process the assessment results for the state of
enterprises, E. Pavlenko, D. Zegzhda [12] based on the homeostasis concept, proposed a description
of the homeostasis for socio-economic systems in terms of a space of states and development of
predictive methods for result processing based on a new paradigm of structural and functional cyber
resistance of enterprises to external disruptive actions. It formed the basis of approaches to assess the
implementation of eco-oriented innovation strategies and ensuring EOE sustainability.</p>
      <p>Environmentalists and governments have used eco-innovation strategies to pursue economic
growth, prevent environmental degradation, augment welfare and address societal challenges [7].</p>
      <p>In the era of environmental awareness, eco-oriented culture must be the main habit of management
and the focus of every strategy. A growing number of business leaders commits to create a better
environment of the world by integrating eco-orientation to their corporate culture [13].</p>
      <p>The state of ecological entrepreneurship was also studied by M. Kravchenko, V. Pohorelov, Shpak
N., Dvulit Z., Maznyk L., Mykytiuk O., Sroka W., Yasnolob I. and others who consider ecologization
of enterprises in the context of increasing the level of competitiveness of the country's economy [14;
15; 16, 17].</p>
      <p>Yasnolob I. notes that as a part of a general management system, an environmental management
system, based on a system-environmental approach, ensures correlation of all management functions
according to sustainable development concept and environmental justice principles [17].</p>
      <p>Based on the analysis of scientific sources it can be concluded that the study of formation and
implementation of eco-oriented innovation strategies is relevant and complies with current
requirements. The processes of formation and implementation of EOE eco-oriented innovation
strategies and assessment of EOE environmental friendliness of programs and projects in general are
recommended to be performed according to defined stages. The analysis of references identified
these stages and concluded the use of situational methodology, systemic and homeostatic approaches
to management decision-making on the states of EOE environmental friendliness and successful
implementation of eco-oriented innovation strategies to ensure the EOE sustainable development.</p>
      <p>The goal of this paper is to study modern approaches to the formation and implementation of
ecooriented innovation strategies.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Methodology and research methods.</title>
      <p>The methodological study basis is a set of general scientific and special methods of scientific
knowledge, its application is conditioned by the purpose and logic to solve the problems of formation
and implementation of eco-oriented innovation strategies that integrate eco-innovation ideas. That is,
eco-innovation is a determining factor in ensuring eco-oriented innovation development of enterprises
and their sustainable development. The scientific results obtained are based on the use of: systematic
approach, logical analysis and synthesis to review the references on identifying approaches to
formation and implementation of eco-oriented innovation strategies; environmentally-oriented
methodology and relevant provisions, namely: innovation strategies form a system of hierarchically
interrelated elements, which should correspond to global trends in eco-oriented development and
accordingly the national economy development, combining macro-, meso-, micro- and nano-levels in
interaction with foreign countries; methodology of structural design and graphic method for
construction and visualization of eco-oriented innovation strategies within the system of strategic
development management, structure of innovation strategy formation for EOE development, a model
of eco-oriented enterprise management and a model of EOE homeostatic management.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Research results</title>
      <p>Formation and implementation of eco-oriented innovation strategies is a systematic process
containing the following main stages: analyzing the content of the conditions in which EOE operates,
defining its mission, the system of strategic eco-innovation goals and objectives; assessing the
ecooriented innovation potential and external environment conditions; determining the priority areas of
EOE development; choosing eco-oriented innovation strategies; implementing eco-oriented
innovation strategies; assessing efficiency of implemented eco-oriented innovation strategies.</p>
      <p>Therefore, eco-innovations are proposed to be divided into [4-8, 10, 18-20]:
1. innovation environmental technologies - pollution control technologies, including wastewater
treatment technologies; atmospheric air cleaning technologies; cleaner technological processes:
new production processes that are less polluting and/or use resources more efficiently; waste
management equipment and technologies; environmental monitoring and instrumentation; green
energy technologies; water supply; noise and vibration control.
2. Organizational innovation for the environment - pollution prevention schemes; environmental
management and audit systems: environmental management systems including measurement,
reporting and responsibility for addressing the use of materials, energy, water and waste (e.g.
EMAS and ISO 14001); network management: cooperation between companies to use raw
materials sustainably and reduce or avoid environmental damage throughout the product life cycle;
3. innovation products and services offering environmental benefits - new or environmentally
improved goods (products, services), including eco-houses and construction; green financial
products (e.g. green leases or green mortgages); environmental services: solid and hazardous waste
management, wastewater management, environmental consulting, testing and engineering, other
testing and analysis services; services to reduce pollution and optimise resource allocation.
4. green system innovations - alternative production and consumption systems that are more
environmentally friendly than existing systems: biological farming and an energy system based on
renewable energy sources, etc.</p>
      <p>Given the above, it is possible to highlight the main principal features of eco-innovations [8-10,
21]: The objects of environmental innovations can be resources, processes (methods, techniques and
technologies), goods and services; eco-innovations shall be competitive on the market;
ecoinnovations shall be used to reduce negative environmental effects to a greater or lesser extent and
optimally have zero effect or protect the environment from any negative effects; cover all phases of
the value chain (procurement, production, distribution, consumption) and the product life cycle.</p>
      <p>The development of EOE eco-oriented innovation strategies for should be based on eco-oriented
methodology and related provisions. The EOE business strategy is aimed at profit earning with a
focus on environmental conservation and sustainable development [22]. The basic assumption is that
innovation strategies form a system with hierarchically interlinked elements. This system should
correspond to the world tendencies of eco-oriented development and, accordingly, to the national
economy development, combining macro-, meso-, micro- and nano-levels in interaction with foreign
countries (Fig. 1).</p>
      <p>The methods for formation of eco-oriented innovation strategies will be specific to each system
level and component. The development process of eco-oriented innovation strategies should take into
account the goals, objectives inherent in each level of the system, and strategies reflect a focus on the
objectives.</p>
      <p>The implementation of national eco-oriented innovation strategies includes selection of strategic
priorities, depending on many targets of eco-oriented innovation and scientific-technical development,
intensification of the national innovation process. During priority formation it is possible to develop
and select various options, but they should be consistent with the world benchmarks of economic
development and innovation, STP advanced achievements, goals and objectives of national
socioeconomic development. The formation of regional eco-oriented innovation strategies involves
formulation of priorities, regional innovation policies, strategic and operational goals for eco-oriented
regional development.</p>
      <p>To form eco-oriented innovation strategies at EOE it is necessary to: set priorities and goals for
eco-oriented innovative development of EOE; define a plan of specific actions to manage
ecooriented innovation activities; considering global, international, national and regional innovation
strategies for eco-oriented development; coordinate actions with development strategies of industries,
entities of regional innovation system, participants of economic relations and other economic entities.</p>
      <p>The structure of EOE development innovation strategies formation process will be as follows (Fig.
2): During the first stage, the priorities of EOE development in the short, medium and long term are
assessed, the goal and objectives of EOE innovation activities are formed, a preliminary assessment of
goals and objectives of EOE innovation development is performed; during the second stage, the EOE
internal and external environment is monitored; during the third stage, the analysis, assessment and
forecasting of EOE conditions, possible changes in external factors of direct and indirect effect,
internal factors and appropriate decisions regarding EOE conditions, optimal strategic goals or
adjustments.</p>
      <sec id="sec-4-1">
        <title>Global innovation system</title>
      </sec>
      <sec id="sec-4-2">
        <title>Strategic management of innovation development</title>
      </sec>
      <sec id="sec-4-3">
        <title>Regional innovation systems</title>
      </sec>
      <sec id="sec-4-4">
        <title>Priority areas for innovation development</title>
      </sec>
      <sec id="sec-4-5">
        <title>Development objectives</title>
      </sec>
      <sec id="sec-4-6">
        <title>Tasks</title>
        <p>…</p>
      </sec>
      <sec id="sec-4-7">
        <title>Innovation enterprises</title>
      </sec>
      <sec id="sec-4-8">
        <title>Priority areas for innovation development</title>
      </sec>
      <sec id="sec-4-9">
        <title>Development objectives</title>
      </sec>
      <sec id="sec-4-10">
        <title>Tasks</title>
        <p>International
innovation
system
1</p>
      </sec>
      <sec id="sec-4-11">
        <title>International innovation system 2</title>
      </sec>
      <sec id="sec-4-12">
        <title>National innovation system</title>
      </sec>
      <sec id="sec-4-13">
        <title>Priority areas for innovation development</title>
      </sec>
      <sec id="sec-4-14">
        <title>Development objectives</title>
      </sec>
      <sec id="sec-4-15">
        <title>Tasks</title>
      </sec>
      <sec id="sec-4-16">
        <title>National innovation strategy</title>
      </sec>
      <sec id="sec-4-17">
        <title>Development</title>
      </sec>
      <sec id="sec-4-18">
        <title>International innovation system N</title>
      </sec>
      <sec id="sec-4-19">
        <title>Anthropologi cal innovation system</title>
      </sec>
      <sec id="sec-4-20">
        <title>Priority areas for innovation development</title>
      </sec>
      <sec id="sec-4-21">
        <title>Development objectives</title>
      </sec>
      <sec id="sec-4-22">
        <title>Tasks</title>
      </sec>
      <sec id="sec-4-23">
        <title>Analysis of external and internal factors</title>
      </sec>
      <sec id="sec-4-24">
        <title>Anthropologi</title>
        <p>cal innovation
strategy</p>
        <p>Analysis of
external and
internal factors</p>
      </sec>
      <sec id="sec-4-25">
        <title>Analysis of external and internal factors</title>
      </sec>
      <sec id="sec-4-26">
        <title>Analysis of external and internal factors</title>
      </sec>
      <sec id="sec-4-27">
        <title>Regional innovation strategy</title>
      </sec>
      <sec id="sec-4-28">
        <title>Enterprise innovation strategy</title>
      </sec>
      <sec id="sec-4-29">
        <title>Development</title>
      </sec>
      <sec id="sec-4-30">
        <title>Development</title>
      </sec>
      <sec id="sec-4-31">
        <title>Development</title>
      </sec>
      <sec id="sec-4-32">
        <title>Monitoring of development</title>
        <p>management system</p>
        <p>Thus, formation of innovation strategies for EOE development involves, within the framework of
established goals, eco-oriented strategic goals and objectives of EOE activities, their eco-oriented
innovation culture and personnel, structure and environmental innovation technologies, research into
innovation potential, intensity of EOE innovation development, cost of innovation and technological
capital and risks of eco-oriented innovation activities.</p>
        <p>Identification of the mission, strategic goals and objectives of EOE
ecooriented innovation development</p>
        <sec id="sec-4-32-1">
          <title>Monitoring of EOE external environment Monitoring of internal environment, analysis, evaluation, forecast and decision on EOE state</title>
        </sec>
        <sec id="sec-4-32-2">
          <title>Development of alternative eco-oriented innovation strategies</title>
        </sec>
        <sec id="sec-4-32-3">
          <title>Selection of eco-innovation strategy</title>
        </sec>
        <sec id="sec-4-32-4">
          <title>Implementation of eco-oriented innovation strategy</title>
        </sec>
        <sec id="sec-4-32-5">
          <title>Evaluation of the implementation results of eco-oriented innovation strategy</title>
        </sec>
        <sec id="sec-4-32-6">
          <title>Making management decisions and adjustments</title>
          <p>In the following stages, alternative innovation strategies are formed, innovation ideas and different
types of innovations are accumulated to be implemented in EOE. The selection of an eco-innovation
strategy for the EOE, the selection of ideas that are the best means of realising the strategic
environmentally-oriented innovation goals of the EOE, development of appropriate innovation
projects, identification of the types of environmental innovations, the introduction of which is
recommended if the best one is chosen.</p>
          <p>For successful implementation of eco-oriented innovation strategies for enterprise development,
programs are formed with a set of eco-oriented innovation projects, and which are preferred by
different criteria, e.g. environmental friendliness level, net present income, profitability index, yield
index, internal rate of return, payback period, optimum risk, etc. That is, innovation program
efficiency is evaluated according to its environmental, profitability, liquidity and risk levels.</p>
          <p>It is recommended to assess the level of project environmental friendliness, programs and
enterprises as a whole according to the following stages [11]: collection and analytical processing of
the initial information used to assess absolute actual indicators and characterizing certain areas of
ecooriented activity of the enterprise; calculation of actual indicators; determination of the ratio of actual
indicators with strategic (benchmark) values; determination of generalized indicators and the integral
index of environmental friendliness of the enterprise. The assessment of environmental friendliness of
EOE will allow creating and accumulating the information base, identifying weak links in the
organization and</p>
          <p>management of EOE, the level of environmental safety of EOE, their
competitiveness and investment and innovation attractiveness by the environmental component.</p>
          <p>To make decisions about the states of EOE environmental friendliness and accordingly, about
successful implementation of eco-oriented innovation strategies, under the action of internal and
external factors, it is proposed to use the situational methodology and system approach to making
management decisions based on a comparative analysis based on the comparison of actual indicators
of eco-oriented EOE activities with the indicators of strategic plans. Based on comparison results of
the value of the i-th (i = 1, 2, ..., N) actual indicator with its strategic value, management decisions are
made. Let us assume that (Fig. 3) Y00 is the eco-oriented innovation strategy (main goal) of the
EOE; Y0i is strategically targeted, planned value of the i-th studied indicator of the EOE activity, and
Yi is the actual value, then EOE management body makes decisions based on the deviation of Yi from
Y0, that is, based on the absolute value of difference /Y0i – Yi/. If the values of external factors
exceed the range of acceptable values and disturb EOE business processes, decisions are made on the
basis of disturbances. Disturbances at EOE today can result in: environmental pollution, Covid-19,
energy crisis, etc.</p>
          <p>Environmental pollution can be assessed based on the Composite Atmospheric Pollution Index
(CAPI), a quantitative value of the atmospheric pollution level generated by n substances present in
the atmosphere of a settlement or individual EOE. CIPA is calculated by the formula (1) [23].
Where q is concentrated over time (month or year), calculated for the post of an individual EOE or a
group of EOE, an individual locality or group of localities, the concentration of the i-th impurity; i
impurity.</p>
          <p>= ∑   = ∑ ((

=1

=1</p>
          <p>) )</p>
          <p />
          <p>(1)
Outp
uts
{Y}
Y
Y
…
Y
s
l
a
o
G</p>
          <p>Main
goal
(Y00)
o
1
o</p>
          <p>Y</p>
          <p>Y
…
o
N
…</p>
          <p>Y
are strategic values of studied indicators; Yі (і = 1,2, … , N) are actual values of studied indicators; Хj
(j = 1, 2, M) are main effects; Zl (l =1,2, …, L) is disturbance.)</p>
          <p>CAPI for the considered period for one or K posts of the city is calculated as the sum of all
atmospheric pollution indices (API). CAPI considers n substances present in the atmosphere. For the
Disturban
ce {Z}</p>
        </sec>
        <sec id="sec-4-32-7">
          <title>External</title>
          <p>environment</p>
        </sec>
        <sec id="sec-4-32-8">
          <title>Disturbance</title>
          <p>information
EOE
control</p>
          <p>unit
(control
system)</p>
        </sec>
        <sec id="sec-4-32-9">
          <title>Information about outputs</title>
          <p>X
X
…
…
X
Inp
uts
Z
Z
…
Z</p>
        </sec>
        <sec id="sec-4-32-10">
          <title>Eco-oriented</title>
          <p>activities</p>
          <p>(business
processes)</p>
          <p>EOE
controlled
system)
integrated assessment of the level of air pollution using CAPI, you can use the values of API unit
indices of the five pollutants for which these values are the highest, then formula (1) will be (2).</p>
          <p>Thus, assessment criteria for the levels of EOE environmental pollution can be determined based
on the air pollution index. The air pollution index value less than 2.5 corresponds to a clean
atmosphere; from 2.5 to 7.5 - slightly polluted; from 7.6 to 12.5 - polluted; from 12.6 to 22.5 - heavily
polluted; from 22.6 to 52.5 - highly polluted; more than 52.5 - extremely polluted atmosphere.
Therefore, the graph of EOE environmental pollution levels is proposed to be presented as shown in
from level i to level j; i,j=1,2,...,6; i ≠ j.
less than 2.5;</p>
          <p>The vertices of this graph are represented by levels [23]:
R1 (clean environment) is the pollution level, when the value of environmental pollution index is
R2 (slightly polluted environment) - the pollution index value is from 2.5 to 7.5;
R3 (polluted environment) - the pollution index value is from 7.6 to 12.5;
R4 (heavily polluted environment) - the pollution index value is from 12.6 to 22.5;
R5 (highly polluted environment) - the pollution index value is from 22.6 to 52.5;
R6 (extremely polluted environment) - the pollution index value is more than 52.5.
It is recommended that the values of EOE pollution parameters should be described using a system
 5 = ∑  
5
=1
(2)
(3)
(4)
of Kolmogorov differential equations (3).</p>
          <p>1 = −  1 2  1 +   2 1  2




  2 =   1 2  1 − (  2 1 +   2 3)  2 +   3 2  3
  3 =   2 3  2 − (  3 2 +   3 4)  3 +   4 3  4
  4 =   3 4  3 − (  4 3 +   4 5)  4 +   5 4  5
  5 =   4 5  4 − (  5 4 +   5 6)  5 +   6 5  6</p>
          <p>5 =   5 6  5 −   6 5  6</p>
          <p>The variables in the system of differential equations (3) are level probabilities, the coefficients are
expressed by intensity of transitions from one level to the other.</p>
          <p>When t → ∞ and dP/dt = 0 in the
system of differential equations (3) is transformed into a system of algebraic equations (4).</p>
          <p>−  1 2  1 +   2 1  2 = 0
  1 2  1 − (  2 1 +   2 3)  2 +   3 2  3 = 0
  2 3  2 − (  3 2 +   3 4)  3 +   4 3  4 = 0
  3 4  3 − (  4 3 +   4 5)  4 +   5 4  5 = 0
  4 5  4 − (  5 4 +   5 6)  5 +   6 5  6 = 0</p>
          <p>5 6  5 −   6 5  6 = 0</p>
          <p>Test this mathematical framework during 2016/2020, we assessed pollution levels of territorial
entities in Lviv region. The largest volumes of pollutant emissions into the air in the region result
from electricity, gas, steam and air-conditioning supply companies, as well as from coal and lignite
mining. Therefore, pollution levels were assesses in Kamianka-Buh and Sokal districts, in the cities
of Chervonohrad and Lviv [24]. A total of 600 supervisions were analysed, i.e. 30 per year in each
locality [25, 26, 27]. The intensity of transitions from one level to the other are represented above the
graph arcs (Fig. 4). To determine initial conditions to study the dynamics of pollution and make
appropriate forecasts, 120 observations were taken for 2020. The analysis of these observations
showed that at R1level (clean environment) there were settlements at 45 observations; at R2 level
(slightly polluted environment) at 33 observations, at R3 level (polluted environment) at 25
observations, at R4 level (highly polluted environment) at 10 observations; at R5 level (highly
polluted environment) at 5 observations; at R6 level (extremely polluted environment) at 2
observations.</p>
          <p>Solution of systems of equations (1) and (2) describing the above graph (Fig. 4), with given initial
conditions: PR1=45/120=0.38; PR2=33/120=0.28; PR3=25/120=0.2; PR4=10/120=0.08;
PR5=5/120=0.04; PR6=2/120=0.02, using appropriate numerical methods and techniques, allows
assessing pollution levels in the study areas based on the obtained dynamic and static characteristics
(Fig. 5) and making appropriate forecasts. Here the values of level probabilities P1, P2, P3, P4,P5,P6
correspond to the values of PR1, PR2, PR3, PR4, PR5, PR6. It should be noted that observation results are
generalized, as they were performed in four settlements as a whole, although it was possible to
perform many observations for each polluting enterprise individually, develop dynamic and static
characteristics for each enterprise in particular and make appropriate forecasts for optimal managerial
decisions on the transformation of these companies into eco-oriented enterprises. In this case, R2 is the
most likely level (slightly polluted environment), resulting in appropriate decisions to reduce
emissions into the environment and bring the pollution to R1 level (clean environment).</p>
          <p>Thus, modern problems of functioning and development of enterprises as eco-oriented ones
require new approaches to their management, because they different ecological contradictions have
remained unsolved for years. Therefore, the paper proposes to put these contradictions based on EOE
management organization, using the homeostatic approach.</p>
          <p>In the day-to-day enterprise management in the presence of various contradictions, the system
approach and situational methodology are most often used to make management decisions [19]. The
homeostatic approach is based on the systematic approach, complements it and allows to effectively
manage the development of modern enterprises. It is more justified in terms of supporting the
stability of existence and development of enterprises in the long term and uses homeostatic
management [28]. That is, the control of many processes of modern EOE, based on the concept of
homeostasis [28], inherent exclusively in living systems, can be shown as the bipolar control, its
model is shown in Fig. 4 in the form of management through goals and contradictions between them.</p>
          <p>The homeostatic approach to the organization of EOE management is appropriate and allows,
based on the contradictions that arise between the requirements for EOE environmental friendliness,
their operational and economic effects, to develop a strategy for management of EOE sustainable
development. Environmental friendliness of technologies requires high knowledge and waste-free
technologies in the manufacturing sector, promotes high-tech development of EOE, but it calls for
significant resources and, consequently, reduce the economic efficiency of business processes in the
initial stages, resulting in contradictions. That is, environmental friendliness of EOE technologies
requires an appropriate innovation capacity to ensure their sustainable development.In other words,
when constructing a homeostatic EOE management model, the eco-oriented innovation strategy can
be the main goal (goal 1) or the target function in the homeostatic approach to EOE development
management.</p>
          <p>Main goal
Y1, goal</p>
          <p>Control
system</p>
          <p>1
Cross feedbacks</p>
          <p>Control
system
2</p>
          <p>Feedback</p>
          <p>Controlled system
EOE business processes</p>
          <p>Controlled system</p>
          <p>EOE business processes
Feedback</p>
          <p>Y2, goal
Economic
efficiency</p>
          <p>Y3, goal</p>
          <p>To ensure EOE sustainable development it is recommended to develop an improved management
structure for the relationship system, introduce scientifically justified limitations on anthropogenic
pressures and ensure the development of eco-technologies, which could become, in turn, the target
function of homeostatic management of the production sphere (goal 2). Enhancement of the level of
EOE operational effect (goal 3) and, consequently, the economic effect as an integral one can be the
target function of EOE homeostatic management. Homeostatic management and marketing in EOE
organizational activities of EOP is relevant here. The essence of management in EOE functioning can
be represented as the management of people to keep them active in the implementation of
professional activities. This view reflects the central idea of management - the management of people
performing a particular activity [11]. This idea can be expressed in a scheme by means of a feedback
control loop, where the object of control is represented by people performing a certain production
activity. The goal function here can be the management goal (goal 2) is to encourage EOE staff to
perform their activities properly. This activity may result in environmental products or products to be
used as goods or services. The work of managers ends when the products are ready for use. The
products are transformed into goods or services by other people whose activities belong to the
marketing area.</p>
          <p>The marketing essence can be expressed as customer relationship management. This concept of
marketing reflects its idea as an activity of transforming the products, produced by EOE into goods
and services that meet the demands of their consumers. It is also relevant to express this idea in a
feedback management scheme, when the object of management is represented by the relationship with
consumers. The marketing goal (goal 3), a customer satisfaction, can serve as a goal function. This
type of management is reflected in key areas for marketing, namely: changes in goods and services,
changes in prices, sales channels of goods and services, promotion of EOE products on the market.</p>
          <p>Thus, the implementation results of eco-oriented innovation strategies are assessed, decisions are
made regarding the states of EOE business processes, selection of main effects on EOE business
processes and appropriate adjustments are made to the strategy as a whole. Implementation of
ecooriented innovation strategies will ensure EOE sustainability in the long run.</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusions</title>
      <p>Formation and implementation of EOE eco-oriented innovation strategies shall contain the
following main stages: analysis of the content of the conditions in which EOE operates, defining its
mission, the system of strategic eco-innovation goals and objectives EOE; assessing the eco-oriented
innovation potential and external environment conditions; determining the priority areas of EOE
development; choosing eco-oriented innovation strategies; implementing eco-oriented innovation
strategies; assessing efficiency of implemented eco-oriented innovation strategies.Eco-oriented
innovation strategies shall be divided into four groups: co-operative and circular flows; eco-efficiency
and sufficiency; clean production; eco-modernization. They are united by the idea of eco-innovations,
being a determining factor in ensuring eco-oriented innovation development of enterprises, their
optimal interaction with the external environment. It is recommended to assess the level of EOE
environmental friendliness according to the following stages: collection and analytical processing of
the initial information used to assess absolute actual indicators and characterizing certain areas of
ecooriented activity of the enterprise; calculation of actual indicators; determination of the ratio of actual
indicators with strategic (benchmark) values; determination of generalized indicators and the integral
index of environmental friendliness of the enterprise. It will create and accumulate information base,
determine the level EOE eco-safety, weak links in EOE organization and management, and their
competitiveness, investment and innovation attractiveness of the environmental component.
Decision-making on the state of EOE environmental friendliness and success of ecologically-oriented
innovation strategies, affected by internal and external factors, selection and implementation of
management effects on EOE and adjustment of eco-oriented innovation strategies is proposed using
situational methodology, systematic and homeostatic approaches.</p>
    </sec>
    <sec id="sec-6">
      <title>6. References</title>
      <p>[1] S. Hollensen, Global Marketing. Pearson, Harlow, 2014.
[2] R. J. Orsato, Sustainability Strategies: When does it pay to be green? Palgrave Macmillan,</p>
      <p>London, 2009.
[3] Ginsberg, Jill Meredith, and Paul N. Bloom. "Choosing the right green marketing strategy." MIT</p>
      <p>Sloan management review 46.1 (2004): 79-84.
[4] O. O. Voloshenko, Methodical approach to the formation of eco-oriented development strategy
of the enterprise. Effective Economics, 11 (2016)
URL:.http://www.economy.nayka.com.ua/?op=1&amp;z=5274
[5] I. O. Tarasenko, Sustainable development of light industry enterprises: theory, methodology,
practice. Kyiv National University of Technologies and Design, Kyiv, 2010.
[6] A. Arundel, R. Kemp, Measuring eco-innovation. Working paper series. United Nations</p>
      <p>University, UNU-MERIT, 17, 2009.
[7] Shukla, Sadhna. "Stakeholder adoption of eco-innovation strategies: review of Indian service
companies." International Journal of Indian Culture and Business Management 18.4 (2019):
475495. URL: https://www.inderscienceonline.com/doi/abs/10.1504/IJICBM.2019.100308.
[8] N. Arranz, M. Arroyabe, J. Li, J. C. Fernandez de Arroyabe. “Innovation as a driver of
ecoinnovation in the firm: An approach from the dynamic capabilities theory.” Business Strategy
and the Environment, 29(3) (2020): 1494-1503. URL:
https://onlinelibrary.wiley.com/doi/abs/10.1002/bse.2448.
[9] Ben Amara, Dhekra, and Hong Chen. "Investigating the effect of multidimensional network
capability and eco-innovation orientation for sustainable performance." Clean Technologies and
Environmental Policy 22 (2020): 1297-1309. URL:
https://link.springer.com/article/10.1007/s10098-020-01871-6.
[10] Geng, Duanyang, Kee-hung Lai, and Qinghua Zhu. "Eco-innovation and its role for performance
improvement among Chinese small and medium-sized manufacturing enterprises." International
Journal of Production Economics 231 (2021): 107869. URL:
https://doi.org/10.1016/j.ijpe.2020.107869.
[11] S. K. Kharichkov, T. V. Averikhina. “Modern methodological approaches to determining the
environmental competitiveness of goods and producers.” Marketing and innovation management,
3 (2013): 272-280. URL:http://mmi.fem.sumdu.edu.ua/.
[12] Pavlenko, Evgeny, and Dmitry Zegzhda. "Homeostatic approach to assessing digital
manufacturing security." SHS Web of Conferences. Vol. 44. EDP Sciences, 2018.
https://doi.org/10.1051/shsconf/20184400066.
[13] Soewarno, Noorlailie, and Bambang Tjahjadi. "Eco-oriented culture and financial performance:
Roles of innovation strategy and eco-oriented continuous improvement in manufacturing
stateowned enterprises, Indonesia." Entrepreneurship and Sustainability Issues 8.2 (2020): 341-359.</p>
      <p>URL: https://jssidoi.org/jesi/article/702.
[14] M. S. Kravchenko, V. М. Pohorelov, Ecological entrepreneurship in Ukraine: the concept
essence modern development and prospects of this activity in the country. Bulletin of Azov State
Technical University: coll. of scientific works. Priazov State Technical University, Mariupol,
Issue 34, 2017, pp. 361-368.
[15] N. Shpak, Z. Dvulit, L. Maznyk, O. Mykytiuk, W.Sroka. “Validation of ecologists in enterprise
management system: a case study analysis.” Polish Journal of Management Studies, 19 (1)
(2019): 376-390. doi: 10.17512/pjms.2019.19.1.29.
[16] Mykola Odrekhivskyі, Uliana. Kohut, Ulyana Kostyuk. “Intelligent management system for
ecological innovative enterprises.” CEUR Workshop Proceedings. Vol. 2870: Proceedings of the
5th International conference on computational linguistics and intelligent systems (COLINS
2021), Lviv, 2021, рр. 1527–1539.
[17] Ilona Yasnolob, Oleg Gorb, Nadiia Opara, Serhii Shejko, Svitlana Pysarenko, Olena
Mykhaіlova, Tetyana Mokiienko. “The formation of the efficient system of ecological
enterprise.” Journal of Environmental Management and Tourism, Vol 9. N 1 (17). (Spring 2019),
2019. URL:
http://dspace.pdaa.edu.ua:8080/jspui/bitstream/123456789/5229/1/%D0%A1%D0%9A%D0
%9E%D0%9F%D0%A3%D0%A1.pdf.
[18] Jové‐Llopis, Elisenda, and Agustí Segarra‐Blasco. "Eco‐innovation strategies: A panel data
analysis of Spanish manufacturing firms." Business Strategy and the Environment 27.8 (2018):
1209-1220. URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/bse.2063.
[19] Mykola Odrekhivskyy, Uliana Kohut, Roman Kochan, Volodymyr Karpinskyi, Marcin Bernas.
“Problems of environmental innovation systems design.” Proceedings of the 19th International
multidisciplinary scientific Geoconference SGEM 2019. Ecology, Economics, Education and
Legislation, 30 June – 6 July, 2019, Albena, Bulgaria. Vol. 19, Issue: 5.3, 2019, pp. 587-594.
[20] Geradts, T., and N. M. P. Bocken. "Driving sustainability-oriented innovation: a sustainable
corporate entrepreneurship approach." MIT Sloan Review (2019): 78-83.
[21] Kneipp, Jordana Marques, et al. "Sustainable innovation practices and their relationship with the
performance of industrial companies." Revista de Gestão 26.2 (2019): 94-111.</p>
      <p>URL: https://doi.org/10.1108/REGE-01-2018-0005.
[22] Lin, Ching-Torng, Yu-Hsuan Chang, and Chuanmin Mi. "Develop eco-friendly enterprise:
Aligning enablers with strategy." Sustainability 9.4 (2017): 570. URL:
https://www.mdpi.com/2071-1050/9/4/570.
[23] V.Ye. Beketov, G.P. Yevtukhova, O.S. Lomakina. “Analysis and assessment of the level of
atmospheric air pollution.” Man and Environment. Problems of Neoecology. -2016. – No. 3-4
(26): 97-103.
[24] Regional report of the state of the natural environment in the Lviv region in 2020. (2021).</p>
      <p>Department of Ecology and Natural Resources of the Lviv Regional State Administration. URL:
https://deplv.gov.ua/regionalna-dopovid-pro-stan-nps/.
[25] Environmental passport for 2020р. (2021). Department of Ecology and Natural Resources of the</p>
      <p>Lviv Regional State Administration. URL: https://deplv.gov.ua/ekologichnyj-pasport/.
[26] Environmental passport of the Ternopil region for 2020. (2021). Department of Ecology and
Natural Resources of the Ternopil Regional State Administration. URL:
http://ecoternopil.gov.ua/index.php/stan-dovkillya/ekopasport.
[27] Environmental passport of Ivano-Frankivsk region for 2020р. (2021). Ivano-Frankivsk Regional
State Administration. URL:
https://www.if.gov.ua/dovkillya/ekologichni-pasporti-ivanofrankivskoyi-oblasti.
[28] Damasio, Antonio, and Hanna Damasio. "Exploring the concept of homeostasis and considering
its implications for economics." Journal of Economic Behavior &amp; Organization 126 (2016):
125129.</p>
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