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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Data protection in the automated agribusiness management system ⋆</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Bohdan Zhurakovskyi</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Vadym Poltorak</string-name>
          <email>andr.vadym.2012@gmail.com</email>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Serhii Toliupa</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Oleksandr Pliushch</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff4">4</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Olena Nesterova</string-name>
          <email>o.nesterova@kubg.edu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Borys Grinchenko Kyiv Metropolitan University</institution>
          ,
          <addr-line>18/2 Bulvarno-Kudriavska str., 04053 Kyiv</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>CPITS-II 2024: Workshop on Cybersecurity Providing in Information and Telecommunication Systems II</institution>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Dragomanov Ukrainian State University</institution>
          ,
          <addr-line>9 Pyrohova str., 01601 Kyiv</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”</institution>
          ,
          <addr-line>37 Peremogy ave., 03056 Kyiv</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff4">
          <label>4</label>
          <institution>Taras Shevchenko National University of Kyiv</institution>
          ,
          <addr-line>60 Volodymyrska str., 01601 Kyiv</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <fpage>267</fpage>
      <lpage>275</lpage>
      <abstract>
        <p>The paper discusses the development of components of the agribusiness management system, in particular: a system for collecting and analyzing data from sensors, task management for foremen, integration of data on the phases of crop development, and decision-making tools. A thorough analysis and selection of development technologies that most effectively solve the tasks of agribusiness was carried out. Attention was paid to the integration of different level components of the system and ensuring their harmonious operation in real conditions. A data transmission network is selected and configured to ensure stable and fast communication between system components. Data protection is provided through the use of SSL certificates. The obtained results can be useful in the automation of similar or similar agricultural enterprises.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;agribusiness</kwd>
        <kwd>management system</kwd>
        <kwd>data analysis</kwd>
        <kwd>sensor integration</kwd>
        <kwd>data protection</kwd>
        <kwd>encryption</kwd>
        <kwd>optimization 1</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>In our world, agribusiness is one of the key industries that
ensures food security and economic stability in most
countries, including Ukraine. However, global challenges
such as climate change, geopolitical instability, and regional
conflicts are making adjustments to traditional approaches
to agricultural production. This became especially relevant
for Ukraine, where the long devastating war against Russia
caused significant losses of water resources due to the
destruction of infrastructure, in particular, the terrorist
attack on the Kakhovskaya HPP. This has led to a critical
shortage of water, which is necessary for the cultivation of
crops, especially in regions dependent on irrigation.</p>
      <p>The relevance of the topic is enhanced by the need to
optimize the use of available resources, reduce costs, and
increase the efficiency of agricultural production. The
integration of advanced information technologies into these
processes opens the world to new opportunities for solving
the above-mentioned problems. In particular, automation
allows us to implement advanced methods of monitoring
the condition of crops and optimizing the use of water and
fertilizers, which is especially important in the context of
limited resources and the need to adapt to changing climatic
conditions [1].
This study proposes the development of an information
system that will use a variety of sensors to collect data on
growing conditions, providing quality monitoring of soil
moisture, temperature, and chemical composition [2]. Based
on the received data, the system will be able to
automatically regulate watering and fertilization, adapting
to the current needs of plants and environmental conditions.
This will not only contribute to a more rational use of
natural resources but will also increase the yield and quality
of agricultural products.</p>
      <p>Given the steady growth in demand for food products
and the need to adapt to rapidly changing conditions, such
a system becomes relevant, offering a solution that helps
Ukrainian farmers not only survive but also successfully
compete in the world market.</p>
      <p>The purpose of this work is to develop an automated
system for managing production processes in agribusiness
to increase the efficiency of resource use and the
productivity of agricultural production.</p>
      <p>The practical significance of the obtained results lies in
the possibility of implementing the developed automated
management system in agribusiness, which will
significantly increase the efficiency of resource use, reduce
costs, and increase the yield of crops.</p>
      <p>
        0000-0003-3990-5205 (B. Zhurakovskyi);
0000-0001-9231-9411 (V. Poltorak);
0000-0002-1919-9174 (S. Toliupa);
0000-0001-5310-0660 (O. Pliushch);
0000-0002-0402-0370 (O. Nesterova)
© 2024 Copyright for this paper by its authors. Use permitted under
Creative Commons License Attribution 4.0 International (CC BY 4.0).
To fulfill the set goals, it was necessary to solve the
following tasks: develop the system project, determine the
components, subsystems, and methods of their interaction;
analyze existing solutions to justify the expediency and
uniqueness of the development; create information blocks
for notifications and decision-making; to develop data
processing and analysis algorithms [3]; ensure data
protection through authentication and authorization [4];
conduct system testing to identify and eliminate errors,
check reliability of data transmission [5–7], software
stability and usability [
        <xref ref-type="bibr" rid="ref7">8</xref>
        ].
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. Description of the subject area</title>
      <sec id="sec-2-1">
        <title>2.1. Description of the process of agribusiness activity</title>
        <p>Agribusiness involves complex and varied activities
oriented around seasonal cycles that determine the dates of
sowing, tending, harvesting, and processing. These cycles
vary depending on geographical location, type of crops, and
climatic conditions. For example, spring is usually sowing,
summer requires intensive care and watering, autumn—is
harvesting, and winter—planning for the next season, and
maintenance of equipment.</p>
        <p>
          The management structure in agribusiness includes
several levels: the highest is focused on strategic planning;
the middle level is responsible for coordination between
departments, and the lower level ensures the
implementation of operational tasks in the fields and
factories [
          <xref ref-type="bibr" rid="ref8">9</xref>
          ]. Agribusiness faces many challenges, such as
climate change that introduces unpredictability to
production cycles, pests and diseases that can spread
quickly, fluctuating market prices that require flexibility in
financial planning, various political conflicts, wars, and
other irresistible forces. All these factors require effective
management and implementation of the latest technologies
to ensure sustainable development and reduce costs [
          <xref ref-type="bibr" rid="ref9">10</xref>
          ].
        </p>
        <p>
          The implementation of automated systems can help to
optimize production processes, reduce resource losses, and
increase the overall productivity of agriculture. Such
systems allow collecting and analyzing data on the
condition of the fields, weather conditions, and the level of
moisture and nutrients in the soil. This helps to make more
informed decisions about crop care, irrigation, and
fertilization, which ultimately increases yield and product
quality [
          <xref ref-type="bibr" rid="ref10 ref11">11, 12</xref>
          ].
        </p>
      </sec>
      <sec id="sec-2-2">
        <title>2.2. Setting the problem</title>
        <sec id="sec-2-2-1">
          <title>2.2.1. Purpose of the system</title>
          <p>Automated agribusiness management systems are aimed at
solving many serious problems that have traditionally
complicated agricultural production. The main goal of the
system is to improve production management processes,
such as improving the facilitation of communication
between employees of different levels, reducing costs, and
more efficiently distributing resources.</p>
          <p>The system is being developed as a tool that allows you
to significantly simplify and optimize processes due to
automation and detailed control of key indicators. This
includes the use of sensors to collect data on the state of
plants, the ability to react in real-time to changes in growing
conditions, and to provide timely adjustments to crop care.</p>
          <p>
            One of the main advantages of automated systems is the
ability to centrally manage all aspects of production,
including monitoring soil conditions and controlling
moisture levels, temperature, and nutrient levels such as
potassium and nitrogen. Thanks to this, agronomists can
quickly make the necessary changes in agrotechnical
measures, increasing the efficiency of resource use [
            <xref ref-type="bibr" rid="ref12">13</xref>
            ].
          </p>
          <p>The system must be user-friendly, reliable, and
functionally complete to ensure easy implementation and
use in the field.</p>
        </sec>
        <sec id="sec-2-2-2">
          <title>2.2.2. Development goals and objectives</title>
          <p>The main objectives are to develop a data acquisition
subsystem, which is the source of input information, and a
control system, which allows users to control important
parameters of the production process, such as irrigation and
fertilization. Agribusiness is a complex system that depends
on many factors such as seasonal cycles, climatic conditions,
and market fluctuations. Effective management of these
factors is critical to ensure sustainable development and
increase productivity.</p>
          <p>The formulation of the task and the determination of the
purpose of the system showed the need for the introduction
of automated systems to optimize production processes,
reduce costs, and increase the efficiency of resource use.
The main goal is to create a tool that will allow you to
centrally manage all aspects of production, providing
monitoring of soil conditions, and control of humidity,
temperature, and nutrients. This will allow agronomists to
make the necessary adjustments on time, which will
increase the yield and quality of products.</p>
          <p>Defining the goals and objectives of the development
emphasized the importance of creating a data collection
subsystem and control system, developing data processing
algorithms, and creating an adaptive user interface.
Completion of these tasks will ensure effective
implementation of the system in agribusiness, which will
allow farmers to make informed decisions based on
up-todate data and increase their competitiveness in the market.</p>
          <p>
            Analysis of ready-made solutions on the market showed
that there are several advanced agribusiness management
systems, such as AgroTop [
            <xref ref-type="bibr" rid="ref13">14</xref>
            ] and AgriChain [
            <xref ref-type="bibr" rid="ref14">15</xref>
            ], which
provide a wide range of functionality for large
agribusinesses. AgroTop focuses on task automation,
performance monitoring, and data visualization, while
AgriChain offers an end-to-end solution that includes land
bank management, agro-production, warehouse logistics,
and crop monitoring.
          </p>
          <p>AGRIUNO has certain differences and advantages,
including its focus on smaller farms. It offers the separation
of functionality into separate roles, which ensures ease of
use without overloading users with unnecessary
information. In addition, our system allows agronomists to
manage the phases of crop development, set threshold
values for sensors, and monitor average sensor values
through graphs. An important advantage is also the
automation of data collection and analysis, which allows
farmers to make informed decisions based on up-to-date
data.</p>
          <p>Thanks to this, our system provides effective
management of production processes, facilitates
decisionmaking, and increases the productivity of farms. It is
affordable, easy to use, and requires no additional training,
making it attractive to smaller agribusinesses seeking to
implement modern management technologies without
incurring significant costs.</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3. Formation of system requirements</title>
      <sec id="sec-3-1">
        <title>3.1. Requirements for the system as a whole</title>
        <p>The AGRIUNO system consists of several main subsystems,
each of which performs specific functions necessary for
effective agribusiness management. The authentication
subsystem provides secure user access to the system,
supporting the roles of agronomist, foreman, and manager.</p>
        <p>The field management subsystem allows agronomists to
manage information about fields and crops, and store data
about fields, crops, and their development phases. It also
supports setting limit values for sensors and monitoring
field status through graphs and alerts.</p>
        <p>The task management subsystem provides the ability to
create and edit tasks for foremen, monitor the status of task
execution, assign tasks to foremen, and control their
execution.</p>
        <p>The monitoring and data collection subsystem provides
data collection from humidity and temperature sensors, as
well as manual data entry for potassium and nitrogen
sensors. It includes notifying users about indicators
exceeding the set limit values.</p>
        <p>The administrative subsystem coordinates and manages
production processes, providing monitoring of tasks and the
status of fields, review, and analysis of used resources, as
well as management of users and their roles.</p>
        <p>The system must be available to users 24/7 without
interruption, with the ability to easily expand to support a
growing number of users and data. It should provide a high
level of user data protection, provide the possibility of
registration and login to their accounts, support the
submission, editing, and monitoring of tasks, as well as
ensure the storage and updating of data in the database in
real-time.</p>
        <p>Prospects for development include expanding the
functionality, adding new functions, such as tracking the
condition of the equipment, and integrating with mobile
applications for fieldwork. It is also possible to use the
system in other countries, adapting to local conditions and
requirements, as well as constantly improving the interface
to ensure greater convenience and accessibility for users.</p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. Requirements for functional characteristics</title>
        <p>List of functions, tasks, or sets of tasks to be automated:










</p>
        <p>Automation of the process of user login to the
system (agronomists, foremen, managers) with
identity verification.</p>
        <p>Ensuring authentication of users when entering
the system, and supporting roles.</p>
        <p>Storage of data on fields, cultures, and phases of
their development.</p>
        <p>Setting limit values for sensors according to the
phases of crop development.</p>
        <p>
          Monitoring the average values of the sensors
through graphs [
          <xref ref-type="bibr" rid="ref15">16</xref>
          ].
        </p>
        <p>
          Notification of the deviation of sensor data from
the set limit values [
          <xref ref-type="bibr" rid="ref16">17</xref>
          ].
        </p>
        <p>Creation and editing of tasks for foremen.
Monitoring the status of tasks, assigning tasks to
foremen monitoring their execution, and receiving
notifications about urgent tasks and important
messages.</p>
        <p>Data collection from humidity and temperature
sensors. Manual data entry for potassium and
nitrogen sensors. Analysis and visualization of
collected data.</p>
        <p>The system should ensure fast execution of
requests and data processing. Any operation
should not take more than a few seconds.</p>
        <p>The system must be fault-tolerant and provide
data backup. It should be possible to quickly
restore data in the event of a crash.</p>
        <p>The user interface should be easy to use and
understandable even for inexperienced users. All
functions should be easily accessible and
understandable.</p>
        <p>These requirements ensure that the AGRIUNO system will
efficiently perform all the necessary functions, ensuring the
accuracy, reliability, and speed of data processing, which are
critical for agribusiness management.</p>
      </sec>
      <sec id="sec-3-3">
        <title>3.3. Requirements for types of security</title>
        <sec id="sec-3-3-1">
          <title>3.3.1. Information support</title>
          <p>Information support includes data structures, methods of
storage, processing, and management.</p>
          <p>Database tables to store data on users, fields,
cultures, development phases, tasks, sensors, and
resources.</p>
          <p>
            Using a relational database (MongoDB) to ensure
data integrity and consistency [
            <xref ref-type="bibr" rid="ref17">18</xref>
            ].
          </p>
          <p>
            Storing data in the form of JSON documents
ensures flexibility of the data structure and ease of
scaling [
            <xref ref-type="bibr" rid="ref18">19</xref>
            ].
          </p>
          <p>
            Data filtering and sorting methods for efficient
search and processing of information about fields,
crops, and tasks [
            <xref ref-type="bibr" rid="ref19">20</xref>
            ].
          </p>
          <p>
            Using MongoDB queries to interact with the
database, provide fast access, and process large
volumes of data [
            <xref ref-type="bibr" rid="ref20">21</xref>
            ].
          </p>
        </sec>
        <sec id="sec-3-3-2">
          <title>3.3.2. Software</title>
          <p>Software includes software components that ensure the
functioning of the system.</p>
          <p>
            Web server for processing user requests and
providing access to the database [
            <xref ref-type="bibr" rid="ref21">22</xref>
            ].
          </p>
          <p>
            Web application based on Vue.js for the
interaction of users with the system, including
agronomists, foremen, and managers [
            <xref ref-type="bibr" rid="ref22">23</xref>
            ].
          </p>
          <p>Interfaces for field monitoring, task management,
and resource utilization analysis.</p>
          <p>Admin panel to monitor and manage tasks, fields,
and users.</p>
          <p>Tools for viewing and analyzing data.</p>
          <p>
            Software tools for authentication and
authorization of users, ensuring confidentiality
and protection of information [
            <xref ref-type="bibr" rid="ref23">24</xref>
            ].
          </p>
          <p>
            Use of encryption protocols to protect data during
transmission between the client and the server
[
            <xref ref-type="bibr" rid="ref24">25</xref>
            ].
          </p>
        </sec>
        <sec id="sec-3-3-3">
          <title>3.3.3. Technical support</title>
          <p>Technical support includes the hardware and infrastructure
necessary for the functioning of the system.</p>
          <p>
            Servers to ensure high performance and reliability
of system operation [
            <xref ref-type="bibr" rid="ref25">26</xref>
            ].
          </p>
          <p>
            Data storage systems for storing large amounts of
information and providing quick access to it [
            <xref ref-type="bibr" rid="ref26">27</xref>
            ].
High-speed network connections ensure fast
access to the system and the processing of requests
in real-time [
            <xref ref-type="bibr" rid="ref27">28</xref>
            ].
          </p>
          <p>
            Backup communication channels to ensure
uninterrupted operation of the system in case of
failure of the main channel [
            <xref ref-type="bibr" rid="ref28">29</xref>
            ].
          </p>
          <p>
            Computers, laptops, and mobile devices for user
access to the system ensure ease of use at any stage
of the production process [
            <xref ref-type="bibr" rid="ref29">30</xref>
            ].
          </p>
          <p>Thus, the AGRIUNO system will be equipped with all
the necessary software and technical support, which will
allow it to effectively perform all the necessary functions for
agribusiness management, ensuring high productivity,
reliability, and data security.</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Development of an information</title>
      <p>system</p>
      <sec id="sec-4-1">
        <title>4.1. System structure</title>
        <p>The AGRIUNO system consists of several main components,
each of which performs specific functions to ensure
effective agribusiness management. The main components
of the system include a client part, a server part, an
administrative interface, management devices, end devices,
and security modules.</p>
        <p>
          The client part includes a web interface designed for
user interaction with the system through a web browser.
The web interface is implemented based on the Vue.js
framework [
          <xref ref-type="bibr" rid="ref30">31</xref>
          ], which ensures a dynamic and interactive
user experience. It provides access to system functionality
for agronomists, foremen, and managers. The server part
consists of a web server that processes requests from the
client part and interacts with the database. The web server
is implemented based on the Express.js framework [
          <xref ref-type="bibr" rid="ref31">32</xref>
          ],
which runs on the Node.js platform [
          <xref ref-type="bibr" rid="ref32">33</xref>
          ] and includes an API
for data exchange between the client part and the server,
providing task processing logic, field status monitoring,
user management, and other functions. The database uses
MongoDB [
          <xref ref-type="bibr" rid="ref33">34</xref>
          ] to store data in the form of JSON documents
[
          <xref ref-type="bibr" rid="ref34">35</xref>
          ], which provides flexibility in data structure and ease of
scaling. The administrative interface is represented by the
manager panel, which is designed to monitor and manage
all aspects of the system. It is integrated with a web server
and database to provide access to up-to-date information
and provides tools for viewing and analyzing data,
monitoring tasks and field status, and managing users and
their roles.
        </p>
        <p>
          Control devices include pumps, dispensers, and valves
used for automated irrigation and fertilizer management.
These devices are controlled through a gateway that
receives commands from the backend [
          <xref ref-type="bibr" rid="ref35">36</xref>
          ]. End devices
include sensors that collect data on moisture, temperature,
nitrogen, and potassium in the soil, as well as a device for
collecting and processing information that transmits the
collected data to the server part via the Internet.
        </p>
        <p>
          Security and data protection modules ensure
confidentiality and protection of information with the help
of software tools for authentication and authorization of
users, using encryption protocols to protect data during
transmission between the client and the server [
          <xref ref-type="bibr" rid="ref36 ref37">37, 38</xref>
          ].
        </p>
        <p>The encryption process is based on the use of SSL
certificates. These are electronic documents that certify that
the website owner is a valid organization. When installing
an SSL certificate, the owner’s identity is verified by a
trusted third party—the Certificate Authority (CA). This
process ensures that the data you send to the website will
be securely protected from unwanted intrusions or other
digital threats.</p>
        <p>Data encryption process. Stages:</p>
        <p>Connection initialization: the website URL is
entered, and the browser initiates a connection to
the web server.</p>
        <p>Sending the public key: The web server sends the
public key from its SSL certificate to your browser.
Certificate Verification: The browser checks the
web server’s SSL certificate to ensure that it is
valid and appears to be a trusted third party.</p>
        <p>Generation of a shared secret key: The browser
generates a shared secret key that will be used for
further data encryption.</p>
        <p>Symmetric Cipher Encryption: Using the web
server’s public key, the browser encrypts the
shared secret key that it sends back to the server.
Decrypting the secret key: The web server uses its
private key to decrypt the shared secret key that
was sent by the browser.</p>
        <p>Secure data transmission: Now that the browser
and web server share a secret key, all data
transmitted between them is encrypted with a
symmetric cipher using that key.</p>
        <p>Encryption with SSL has many advantages. Among
them:</p>
        <p>Confidentiality. The data you transmit over the
Internet remains confidential and unintelligible to
unwanted persons.</p>
        <p>Data integrity. SSL protection ensures that data
during transmission will not be changed by
attackers.</p>
        <p>Web server authentication. You can be sure that
you are interacting with exactly the website you
intended to visit.</p>
        <p>The system architecture provides scalability that allows
the system to be easily expanded to support a growing
number of users and data, reliability that includes high
performance and system stability with the ability to backup
and quickly restore data in the event of a crash, and ease of
use thanks to an intuitive interface that makes it easier for
both beginners and experienced users.</p>
      </sec>
      <sec id="sec-4-2">
        <title>4.2. Functional model of the system</title>
        <p>To ensure effective agribusiness management, the
AGRIUNO system includes different user roles, each of
which has its functional responsibilities. These roles or
actors interact with the system to perform specific tasks,
manage processes, and monitor the status of fields. Below
are the functional responsibilities and functions of each
actor.</p>
      </sec>
      <sec id="sec-4-3">
        <title>4.3. Database model</title>
        <p>field</p>
        <p>PhaseID is the identifier of the current phase of culture
development
This database model provides efficient storage,
management, and processing of data necessary for the
operation of the AGRIUNO system, allowing monitoring,
analysis, and management of production processes in
agribusiness.</p>
      </sec>
      <sec id="sec-4-4">
        <title>4.4. Data transmission and processing</title>
        <p>The agribusiness management system provides storage,
processing, and presentation of various data necessary for
the optimization of production processes and
decisionmaking. Below is a list of input data required for the system
to function:
</p>
        <p>Sensor data: Sensors are placed in fields to monitor
various parameters such as soil moisture,
temperature, nitrogen, and other nutrients. This
data is critical for assessing the current condition
of the fields and making decisions about irrigation,
fertilization, and other agrotechnical measures.</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Mathematical support</title>
      <sec id="sec-5-1">
        <title>5.1. Meaningful formulation of the problem</title>
        <p>The agribusiness management information system is aimed
at optimizing the use of resources, monitoring the condition
of fields, managing the phases of crop development, and
providing recommendations for crop care. The goal of the
system is to increase production efficiency, reduce costs,
and improve crop quality.</p>
      </sec>
      <sec id="sec-5-2">
        <title>5.2. Mathematical formulation of the problem</title>
        <p>
          The mathematical model of the agribusiness management
system may include the following components [
          <xref ref-type="bibr" rid="ref38">39</xref>
          ]:
Set of fields: P = {P , P , . . . , P }, where  is a separate
Set of sensors: D = {D , D , . . . , D }, where 
is the
field.
separate sensor.
        </p>
        <p>A set of measured parameters: X = {T, H, K, N}, where T
is temperature, H is humidity, K is potassium, N is nitrogen.</p>
        <p>Data requests</p>
        <p>are the measurements from the
sensor  on the field  at a moment in time t.</p>
      </sec>
      <sec id="sec-5-3">
        <title>5.3. Justification of the solution method</title>
        <p>To solve the task of monitoring and analyzing the condition
of the fields, it is necessary to develop a method of
calculating the average values of the indicators and forming
graphs based on the collected data, taking into account the
irregularity of the data. The main solution methods can be:



–
–</p>
        <p>Interpolation: Used to fill gaps between irregular
data.</p>
        <p>Calculation of average values: To evaluate the
current state of the fields.</p>
        <p>Graphing: To visualize changes in indicators over
time and make decisions about crop care.</p>
      </sec>
      <sec id="sec-5-4">
        <title>5.4. Description of the solution method</title>
        <sec id="sec-5-4-1">
          <title>5.4.1. Processing irregular data</title>
          <p>
            To process irregular data from sensors, the interpolation
method can be used to fill the gaps between the received
data and ensure the continuity of the analysis [
            <xref ref-type="bibr" rid="ref39">40</xref>
            ].
          </p>
          <p>Interpolation:


For each sensor and parameter, we determine time
intervals where there is no data.</p>
          <p>We use linear interpolation to fill these gaps.</p>
          <p>( ) = 
( ) +

( ) − 
 − 
( )
× ( −  )
where</p>
          <p>
            and  are the times between which the
interpolation
is
carried
out, 
( )
and
( ) are the value of the sensor at these
moments [
            <xref ref-type="bibr" rid="ref40">41</xref>
            ].
          </p>
        </sec>
        <sec id="sec-5-4-2">
          <title>5.4.2. Calculation of average values of indicators</title>
          <p>
            After interpolation of the data, it is possible to calculate the
average values of indicators for a certain period [
            <xref ref-type="bibr" rid="ref41">42</xref>
            ]. Input
data:
          </p>
          <p>( ) is the measurement value from the sensor 
on the field</p>
          <p>at a moment in time  .  is the period over
which the average value is calculated (for example, a week).</p>
          <p>
            The formula for calculating the average value [
            <xref ref-type="bibr" rid="ref42">43</xref>
            ]:
 ( ) =
          </p>
          <p>( )
1
| |
∈
where  ( ) is the average value of the indicator 
on the
field  ,| | is the number of measurements per period T.</p>
          <p>An example of calculating the average humidity value.
Suppose there is a field</p>
          <p>with three humidity sensors
 ,</p>
          <p>,  , and we have the measurements for the last
week. The input may look like this:
 , ( ) = 70%
 , ( ) = 75%
 , ( ) = 72%</p>
          <p>The average value of humidity in the field  for the last
week:
1
3
1
3
The graph will help agronomists quickly assess the
dynamics of temperature changes in the field and make
appropriate decisions about crop care.</p>
        </sec>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>6. Conclusions</title>
      <p>The development of an automated agribusiness
management system is a complex and multifaceted task that
requires deep knowledge in the fields of information
technology, agronomy, and data management. The main
goal of the project was to create an integrated system that
provides effective management of fields, monitoring of soil,
plant, and resource conditions, as well as optimization of
production processes.</p>
      <p>The developed agribusiness management system makes
it possible to significantly increase the efficiency of
production processes, ensuring accurate monitoring of the
state of the fields and optimal use of resources. The system
provides users with the opportunity to respond to changes
in conditions on time and make informed decisions
regarding the care of crops. It also provides a convenient
interface for interacting with the system, which facilitates
its use and increases user satisfaction.</p>
      <p>Key aspects of irregular data processing are considered,
including the use of interpolation methods to fill gaps
between measurements and calculate average values of
indicators. These methods allow for continuous data
analysis, which helps to accurately monitor the condition of
the fields.</p>
      <p>The process of constructing graphs for visualization of
changes in indicators over time is described, which allows
agronomists to quickly assess the dynamics of changes in
temperature, humidity, and levels of potassium and
nitrogen in the fields. Data visualization on graphs is an
important tool for making informed decisions about crop
care.</p>
      <p>The proposed methods and approaches to data
processing allow the system to effectively perform the
functions of monitoring and managing agrarian processes.
This helps to optimize the use of resources, and increase
productivity and product quality, which ultimately ensures
the sustainable development of agribusiness.</p>
      <p>Special attention was paid to the development of
algorithms for analyzing sensor data and making decisions
about crop care. The most effective methods of analysis
were selected and implemented, which ensure high
accuracy of forecasting and optimization of agronomic
processes. This included the use of modern technologies for
data collection, processing of large volumes of information,
and machine learning.</p>
      <p>Further research and development can be aimed at
expanding the functionality of the system, including
support for additional types of sensors, integration with
other control systems, and the use of the latest technologies
for data analysis. This will further increase the efficiency of
agribusiness and ensure the sustainable development of this
important industry.</p>
    </sec>
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