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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Studies on WSN Models for IoT-based Monitoring Systems in the Critical Infrastructure of the State</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Sergiy Gnatyuk</string-name>
          <email>s.gnatyuk@nau.edu.ua</email>
          <xref ref-type="aff" rid="aff3">3</xref>
          <xref ref-type="aff" rid="aff4">4</xref>
          <xref ref-type="aff" rid="aff5">5</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Dauriya Zhaksigulova</string-name>
          <email>dauriya.dzh@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Oksana Zhyharevych</string-name>
          <email>o.zhyharevych@gmail.com</email>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Dinara Ospanova</string-name>
          <email>d.ospanova@gmail.com</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Iryna Chuba</string-name>
          <email>i.chuba@ukr.net</email>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>D. Serikbayev East Kazakhstan Technical University</institution>
          ,
          <addr-line>19 D. Serikbayev str., Ust`-Kamenogorsk, 070004</addr-line>
          ,
          <country country="KZ">Kazakhstan</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Kazakh Humanitarian Juridical Innovative University</institution>
          ,
          <addr-line>11 Mengilik str., Semey, 070000</addr-line>
          ,
          <country country="KZ">Kazakhstan</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Lesya Ukrainka Volyn National University</institution>
          ,
          <addr-line>13 Voli ave., Lutsk, 43025</addr-line>
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>National Aviation University</institution>
          ,
          <addr-line>1 Liubomyra Huzara ave., Kyiv, 03058</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff4">
          <label>4</label>
          <institution>State Scientific and Research Institute of Cybersecurity Technologies and Information Protection</institution>
        </aff>
        <aff id="aff5">
          <label>5</label>
          <institution>Yessenov University</institution>
          ,
          <addr-line>32 microdistrict, Aktau, 130000</addr-line>
          <country country="KZ">Kazakhstan</country>
        </aff>
      </contrib-group>
      <fpage>167</fpage>
      <lpage>180</lpage>
      <abstract>
        <p>It has been established that the IoT concept has three interrelated basic issues: providing information security (IoT Security), scaling up the growing volume of technical devices and data (IoT Scalability), and IoT Technical Solutions and Low-Power Consumption. Also, the analysis of protocols for solving IoT tasks was carried out: MQTT: protocol for collecting data of devices and transmitting their servers (D2S); XMPP: protocol for connecting devices to humans, partial case of D2S-schemes when people connect to servers; DDS: fast bus for integrating smart devices (D2D); AMQP: The system organizes queues for connecting servers (S2S). Stochastic models of the functioning of wireless sensor networks that use randomized network parameters (with variable number of nodes and random participation of nodes in separate groups of network nodes) have been improved. It allowed us to estimate the probability of collision of signals and to more effectively design communications protocols of the IoT. These models allowed us to estimate the probability of collision of signals: the maximum number of nodes that provide the quality of transmission at the level of the probability of collision no higher than 10-2 is 50, with the number of nodes involved in the collision is negligible in comparison with the average number of transmissions, in particular, the ratio of the average number involved in the collision of nodes to the average number of transmissions is 10-7. Given results can be used for developing an effective environment monitoring system.</p>
      </abstract>
      <kwd-group>
        <kwd>1 IoT</kwd>
        <kwd>monitoring</kwd>
        <kwd>WSN</kwd>
        <kwd>stochastic model</kwd>
        <kwd>information security</kwd>
        <kwd>collision</kwd>
        <kwd>S2S</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        Today there is an urgent need to control and
measure almost all physical quantities in large
quantities and in almost all areas of human
activity. The use of sensors and related
communication nodes gives an idea of the
universality of the problem of Wireless Sensor
Networks (WSN) [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ], in particular, in homes and
buildings; industrial facilities; warehouses; in
the natural environment (forests, fields, over
rivers, in the mountains, in the soil, in the air,
etc.); in an environment affected by biological
and chemical weapons; in cars and planes; at
moving intersections; at the bottom of the
ocean; inside large machines, rotating spheres,
balls; on the ocean surface during a tornado; on
the battlefield behind the front line; as an
indicator for animals and goods; in rivers in
combination with water energy, etc.
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. Related Paper Analysis</title>
      <p>
        The development of electronics, Information,
and Communication Technologies (ICT) has
given grounds for the realization of the idea of
measuring and controlling any necessary
physical quantities of the environment,
industrial processes, control processes,
monitoring, etc. Such a huge number of
applications of measuring technology, which is
also implemented in mobile (mobile) objects,
require solutions related to the technique of
collecting, transmitting, and processing
information for different types of processes
used. Many network solutions have been
developed and implemented based on previous
experience in the implementation of ICT in the
concept of the Internet of Things (IoT) [2–5],
which are computer networks of physical
objects (i.e. things), that are equipped with
technologies to interact with each other. These
solutions are dominated by deterministic access
algorithms for network operation. The number
of solutions is quite large and diverse—LAN,
MAN, WAN, WLAN, SDH, Wi-Fi, mobile
telephony, Bluetooth, ZeegBee etc [
        <xref ref-type="bibr" rid="ref10 ref11 ref9">6–8</xref>
        ].
      </p>
      <p>
        However, for some applications, previous
solutions, such as deterministic solutions [
        <xref ref-type="bibr" rid="ref12 ref2">9</xref>
        ],
are not very suitable (equipment costs,
complexity, high energy requirements,
complexity of algorithms, wide radio
bandwidth)—this significantly limits their
applicability. At the same time, the search for
stochastic solutions opens up a wide range of
add-ons that were previously unsuitable for
network solutions in some applications (for
hitherto impossible implementations). They
extend the category of solutions for modern
applications, such as environmental monitoring
[
        <xref ref-type="bibr" rid="ref13 ref14 ref5 ref7">10–11</xref>
        ], hospital monitoring [
        <xref ref-type="bibr" rid="ref15">12</xref>
        ], and more.
Given this, the development of information
technology for environmental monitoring in the
concept of IoT is an urgent scientific and
technical task that has important scientific and
practical significance. The main objective of this
study is the development and simulation of the
WSN models for IoT-based monitoring systems
that can be implemented for various critical
situations.
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. IoT Concept Problems</title>
      <p>
        The IoT concept has been identified as having
three interrelated underlying issues: information
security (IoT Security), scaling up the growing
volume of technical devices and data (IoT
Scalability), and addressing IoT Technical
Solutions and Low-Power Consumption). Also,
protocols for solving IoT tasks were analyzed
[
        <xref ref-type="bibr" rid="ref16 ref17">13–14</xref>
        ]:
1. MQTT: protocol for data collection of
devices and transmission of their servers
(D2S);
2. XMPP: protocol for connecting devices
with people, partial case of D2S-scheme,
when people connect to servers;
3. DDS: fast bus for the integration of
intelligent devices (D2D);
4. AMQP: a queuing system for connecting
servers (S2S).
These shortcomings of IoT negatively affect its
basic functions, in particular, its monitoring
application, in addition to security problems,
faces the problem of collisions during scaling,
as well as the high energy needs of known
solutions, most of which are deterministic.
      </p>
      <p>Thus, the first section identifies the
shortcomings of the known approaches and
proves the need for mathematical models,
methods, and communication protocols of
WSN networks with random access and
appropriate monitoring information
technology to ensure high performance,
quality, and survivability of their operation.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Modern WSN Deployment</title>
      <p>
        The concept of a sink network [
        <xref ref-type="bibr" rid="ref19">16</xref>
        ], which in
particular can be a wireless sensor network, is
that the sources of information that are
distributed in space, both stationary and
mobile, and which can be very many, transmit
information directly to the base station
(information collection center). These are
single-hop networks. If the network is
organized in such a way that it can transmit
information through other nodes, to some
extent indirectly, then it is a multi-hop
network. Single-hop networks are
characterized by a star topology in which
individual channels can be implemented
simplex or duplex depending on the number of
required channels: frequency (available
frequencies) or frequency-time, in which this
frequency is additionally multiplexed with
time division (or temporary compaction),
increasing the number of available
communication channels. An example is the
DCS 1800 system in cellular telephony. In
contrast, multi-hop networks are often
characterized by mesh architecture.
      </p>
      <p>
        In all collection networks, which are
characterized by all-in-one technology, there is
a fundamental problem. At this time, the
selected frequency channel can be occupied by
only one network user. Therefore, the main
task of such networks is the collision-free
organization of access to information from
individual nodes to the information collection
center (base station). Therefore, it is necessary
to develop special algorithms and access
protocols and prepare communication nodes
to operate in an environment of many sensors
that try to access one information collection
center (base station). That is, the task is to
develop a control protocol for the network
itself. Considering this issue, we must also
mention the problem of electromagnetic
compatibility. Using space as a transmission
medium, the analyzed wireless network is not
an isolated structural unit in space, and due to
the use of radio frequencies, its operation, as
well as other users of radio communication are
interdependent.
The issue of compatibility covered by the
standards indicates the limited possibilities of
using arbitrary frequencies and the use of
arbitrary radiation powers (Effective
Isotropical Radiated Power, EIRP). This issue is
regulated legally, through the justice systems
of states, taking into account international
norms. Moreover, it can be said that the
electromagnetic spectrum is divided into
bands that are subject to special legal
protection, and its use in these bands requires
a license. Then the guarantee of trouble-free
operation of devices operating on licensed
frequencies is taken over by the relevant
government agencies. Unlicensed bands are
also available, such as 27 MHz for Citizen Band,
35 MHz for modeling control, 2.4 GHz for
wireless computer WLANs and Wi-Fi, or
433 MHz for remote controls for cars and other
automation and control devices. In practice,
the use of these bands does not require a
license, although the principles of maximum
radiated EIRP power and bandwidth used
must also be followed. However, unlicensed
bands do not guarantee the operation of
devices without interference. Today, in
practice, for example, the above frequencies
are used quite intensively and widely, and the
implementation of new network solutions on
these frequencies is fraught with a very serious
risk of correct action, taking into account the
space used. There are also bands in the
spectrum of electromagnetic waves that are
still not covered by the norms. These are the
main bands in the region of very high
frequencies—above 100 GHz, infrared, and
visible area [
        <xref ref-type="bibr" rid="ref21">18</xref>
        ].
      </p>
      <p>
        Topological and communication specifics of
wireless collecting measuring sensor
networks. The sensor network consists of
many nodes, which are located both inside the
measuring medium and outside near the
studied physical quantities. It is accepted that
individual communication nodes associated
with sensors can move in the field of study of
physical effects controlled by sensors. Thus,
the mobility of nodes is assumed, which in turn
often causes changes in the configuration of
the network, and especially leads to changes in
the propagation of electromagnetic waves.
These requirements are imposed on very
important and necessary features and
characteristics for the considered nodes of
wireless networks, namely: algorithms and
protocols must have the ability to self-organize
[
        <xref ref-type="bibr" rid="ref22">19</xref>
        ]. This means that the node on the
hardware side must be equipped with a
processor that will often implement very
complex maintenance algorithms in a changing
environment. The use of ad hoc spontaneous
networks for this purpose, despite the many
protocols and algorithms available in these
networks, does not address the unique needs
of sensor networks, which arise from
differences between seemingly universal
solutions in standard ad hoc networks and the
actual needs of measuring networks. This
specificity and uniqueness of wireless sensor
measuring networks is due to the following
components [
        <xref ref-type="bibr" rid="ref23">20</xref>
        ]:
• The number of nodes in the sensor
network is usually several orders of
magnitude higher than in the ad hoc
network.
• Nodes in sensor networks, as a rule, are
densely placed.
• Sensors with the units with which they
cooperate—are often an integral means—
are more susceptible to accidents.
• There are frequent changes in the
network topology.
• The sensor usually uses node
communication solutions, generally
more complex than in the case of ad hoc,
where communication is generally based
on the point-to-point model.
• Nodes in the sensor network, in
principle, have a limited power supply,
which is a limitation for computing
power, available memory, antenna
radiation power, and frequency of
activation of providers (“wake-up”
sensors).
• Nodes cannot have a global ID due to the
huge number and space allocated for
tasks.
      </p>
      <p>
        Among the many significant factors that
affect the architectural and communication
aspects, as well as the use of the network, are
the task assigned to the network,
environmental impact (environment),
resistance to interference and errors, network
architecture, hardware constraints, translation
algorithms, the need for power supply, the
factors that affect the means of production.
These factors are the subject of many studies
for different applications of wireless networks.
The above factors that affect network solutions
are important guidelines for designing
communication protocols and network
algorithms. The following essential conditions
in the design of wireless sensor networks can
be abbreviated [
        <xref ref-type="bibr" rid="ref23">20</xref>
        ]:
• Bandwidth capability and communication
frequencies.
• The need for power, for example, for
communication and data processing.
• External constraints related to the
environment.
• Hardware limitations.
• Scalability.
• Range of resistance to errors.
      </p>
      <p>In a wireless collection network with several
nodes, errors or interruptions in the
transmission occur, which is the result of many
reasons. In the case of radio communication, a
significant impact is caused by problems
associated with the propagation of radio signals
(electromagnetic waves), which is caused
primarily by the physical conditions of the
environment that surrounds the supply points
(nodes). Thus, the presence of signal reflection
on local interference, climatic conditions,
interference, insufficient signal strength or
excessive signal level, and several others.
Transmission of information by radio waves is
the most difficult task in broadcasting using
wired means—copper cables, fiber optics, etc.</p>
      <p>
        By [
        <xref ref-type="bibr" rid="ref12 ref13 ref14 ref15 ref16 ref17 ref2 ref5 ref7">9–14</xref>
        ], we can declare that today it is
necessary to create a new class of wireless
networks that allow to fill certain gaps in the
development of WSN networks related to
solving problems such as:
a) obtaining low financial costs in terms of
network nodes equipped with sensors
for general and simple applications.
b) ease of operation, in particular, sensor
The conditional probability of collision in
algorithms and ease of connecting and
the length
interval s,
where  &gt;   , by
disconnecting new components.
c) a significant limitation of the occupied
band of radio frequencies in the context
of the growing
      </p>
      <p>deficit of the radio
frequency spectrum.
d) significant energy savings at the nodes
(reduction of nodes for data processing,
no
receiver
signal,
autonomous
operation of nodes in the intervals of
very short activity and short-term radio
radiation), especially
due to lack
of
energy replenishment directly related to
node operation time.
e) complete independence of the nodes
from each other.</p>
    </sec>
    <sec id="sec-5">
      <title>5. WSN Stochastic Models</title>
      <p>
        WSN stochastic models were developed to
assess the probability of signal collision in the
system (by concepts [
        <xref ref-type="bibr" rid="ref20 ref23">17, 20</xref>
        ]).
      </p>
      <p>Let’s mark   ′ as an event, that means
collision absence in the interval [0,  ] ( &gt; 0).
Also, let’s mark  (  ′) as the probability of
collision absence in the interval [0,  ]. Let’s
consider
that  ( ) =  ,
[0,  ],
where  &gt;   .</p>
      <p>Suppose
that
is
the
quantity
of
transmissions in the interval [0,  ] equals
 ( ≥ 1). Random vector ( 1, … ,   )of the time
between transmissions is even distributed in
the
set</p>
      <p>∗ = {( 1, … ,   ):  1 + ⋯ +   ≤  }
with conditional density  ( 1, … ,   | ( ) =
 ) =  !/  for ( 1, … ,   ) ∈  ∗
, and also 0
beyond that. In this way conditional density of
collision
absence
in
the
supposing  ( ) =  , is equal:
 ≥ 0 and  + = 0 for  &lt; 0.</p>
      <p>(  (′ ) =  ) =  ( 1 &gt;   , … ,   &gt;   ) = (1 −    )  ,

+
where expression  + determines as  + =  for
interval [0,  ],
where  is the number of nodes,  is the
average time between node transmissions,  
is the time of protocol transmission.</p>
      <p>The question of the number of nodes that
remain in collision in the length interval  is
also analyzed for  &gt;   . The probability of
collision in the length interval  is investigated
for  &gt;   . Below are models that characterize
the lower
and
upper
estimates
of the
conditional probability of the number of gears
that remain in conflict, in the length interval  ,
assuming that the number of gears in the
transmission interval is in the length interval 
( &gt;   ) equals  .</p>
      <p>Let’s mark   as number of transmissions in
collision in the length interval  . In this case, we
will have an expression:
 ) − ≤  (  =  ⁄ ( ) =  ) ≤
)
[ +21](1 −  

 ) −[ +21],
(
 


 ) −1(1 −   </p>
      <p>(
 
)
 



(</p>
      <p>=2
∞
∑ −  ⋅  !
condition  ( ) =  , forms by the following
expression:
 (  / ( ) =  ) = 1 − (1 −    )  .
 +</p>
      <p>The probability of collision in the length
interval s, where  &gt;   , determined by the
following expression:
 (  ) = ∑
 −  (
 
 !) [ 1 − (1 −   

 )+],

∞
 =2
(1)
(2)
≤  (  =  )
  −1
)
 </p>
      <p>)
 !
(
 </p>
      <p>number of gears in conflict in the length
interval s (   , 2(  )). Let’s suppose s  tp .
∞
 =2
≤ ∑  ∑ −  ⋅
∞</p>
      <p>∞
∑ 2 ∑ −  ⋅
 =2  =2
∞</p>
      <p>∞
∑ 2 ∑ −  ⋅
 
 !
∑  ∑ −  ⋅
∞
 =2
∞
 
 !
 
 !
 
 !
( (1−− [∑  ∑ −  ⋅
 +</p>
      <p>≤   
)
 
 !
 
 !
( (1−− [∑  ∑ −  ⋅
expression (1) describes the probability of
collision in the short time tp of providing the
protocol, determining the probability of intact
provision
expression
of</p>
      <p>the
(2)
is
protocol.</p>
      <p>derived</p>
      <p>The
using
second
other
properties of the Poisson process concerning
the probability of collision over a sufficiently
long transmission time.</p>
      <p>The graphs illustrate the probability of
collision depending on the number of sensors
for the set average time between messages
(Fig. 3), and also show the dependence on the
average time of protocol transmission, if the
number of nodes is set (Fig. 4). For the average
time between transmissions of a node equal to
10 s, the maximum number of nodes, which
ensures the
quality of transmission
at a
probability level not exceeding 10-2, is 10, and
for the average time between transmissions of
a node equal to 30 s, the maximum number of
nodes is 50. Further increase in the average
time between node transmissions allows you
to increase the maximum number of nodes. For
a given</p>
      <p>number of nodes, increasing the
average time between
collisions causes a
decrease in the probability of collision.
where  &gt;   depending on observation time
 = 180 s. and the average time between
transmissions of a node for  = 5, 20, 50
Using graphs, you can find the optimal values
of the parameters that affect the correctness of
the transfer (n, T, tp). Graphs make it possible
to determine in which range the transmission
quality is provided at a given level or for which
values (n, T, tp) the probability of collision
increases sharply. You can determine the order
of collision probability values for arbitrarily
selected
parameters:
for
example,
for
tp = 3.2×10-5, the number of transducer sensors
equal to 10, and providing each sensor with an
average transmission time every T = 60 s the
collision probability is 1.65×10-4.
{ 1, . . . ,   } and a set of endpoints of the
system</p>
      <p>= { 1, . . . ,   } from the beginning of
a</p>
      <p>set of coordinators
{ 1, . . . ,   } (for begin  = 1).
of network  =
Distance between points  (  ,   ,   ) and
 (  ,   ,   ) equals:</p>
      <p>2</p>
    </sec>
    <sec id="sec-6">
      <title>6. Experimental Study and</title>
    </sec>
    <sec id="sec-7">
      <title>Discussion</title>
      <p>6.1.</p>
      <sec id="sec-7-1">
        <title>Software Technical Complex</title>
      </sec>
      <sec id="sec-7-2">
        <title>Based on WSN</title>
        <p>The
software technical
complex
includes
subsystems: data</p>
        <p>
          collection; communication
support; primary processing of the received data
and
analytical
work
with
information;
cartographic display of information; maintaining
and maintaining a database [
          <xref ref-type="bibr" rid="ref23 ref24 ref25">20–22</xref>
          ].
        </p>
        <p>1. The data collection subsystem includes a
set of automated workstations for the
staff
of
remote
users
(automated
workstations of the monitoring system
entities)
that
perform
data
and
information collection work by certain
monitoring functions and transmit to the
SU center by established protocols for
exchanging information with access to
the global Internet.
2. The communication support subsystem
includes
a
communication
center,
including a set
of
communication
networks
and information
exchange
protocols and external communication
servers
receiving
to</p>
        <p>implement
data
from
functions:
automated
workstations
of remote
users,
precontrol, processing, and input of data
and information to relevant databases;
providing information communication
with the information-analytical center;
providing information communication
with persons who</p>
        <p>make management
decisions;
providing
access
information of wide use. A system server
built on the ideology and requirements
of
similar
structures
in
terms
reliability, performance, and memory to
provide, inter alia, service for numerous
user requests with high-speed Internet
to
of
access channels.
3. The
subsystem
of
primary
processing and analytical work
data
with
information
workstations
administrator
includes
of</p>
        <p>the
and
automated</p>
        <p>database
automated
workstations of the Center’s specialists
who receive, process, and analyze data
and
information,
and
can
perform
modeling and forecasting
database
administrator
work. The
implements
support for the functioning of the
database; distribution of levels of access
to information; maintaining the
consistency of the receipt and issuance
of data and information displayed on the
server of external communications with
the content of information in the
database; and support for security and
information recovery. Automated
workplaces of the Center’s specialists
provide control over the receipt and
preliminary analysis of data and
information received from remote users;
unification of data and information
received from remote users for entry
into the database; performing tasks of
complex analysis, assessment, and
modeling of crises; providing
operational and consolidated
information on the results of monitoring.
Automated workstations of specialists
are equipped with hardware and
software for the rapid solution of data
processing problems and high-speed
communication channels with the server
of information resources and the server
of external communications, equipped
with equipment for working with
graphics.
4. The subsystem of cartographic display
and data analysis is designed: to conduct
a comprehensive analysis and
assessment of the state and possible
consequences of the impact on the zones,
taking into account the geographical
features of the region; visualization of
information on the location of networks
for monitoring the state of the region and
sources of anthropogenic pressure. The
subsystem includes a digital map by the
level of tasks performed (locality and
globality); an information retrieval
subsystem developed based on a
geographic information system;
modules that provide information
combination of digital map and database
of information resources; a subsystem of
cartographic analysis of the ecological
situation of the region; modules for
providing results of cartographic search
and analysis.
5. The subsystem of maintaining and
maintaining the database is designed to
create, store, and provide access to
information resources of the
management system, including a
separate server of the bank of
information resources and special
software. The subsystem provides the
function of saving data in non-standard
situations, including archiving and
duplication.</p>
        <p>
          The monitoring system based on this
software technical complex can be switched
into the following four operation modes [
          <xref ref-type="bibr" rid="ref26">23</xref>
          ]:
1. Normal (standard operation, normal
operation). The tasks of normal
operation consist of emergency
planning, the main purpose of which is to
gather information to predict the
possible occurrence and development of
the crisis regime and control its
consequences, determine the resources
of telecommunications networks and
tools needed to resolve crises, develop
special forecasts to respond effectively
in anticipation of the problem, taking
into account all the forces and means to
implement the objectives. In this mode,
regulatory, legislative, and other
mechanisms aimed at minimizing the
risk and damage from the crisis are
identified and created.
2. Increased preparedness (non-standard
operation, active preparation, and
practical implementation of several
preventive/precautionary measures).
To do this, collect and use in the
monitoring system data on the state of
internal and external structure, data for
current and retrospective analysis with
the possibility of preventive planning of
trends in the current situation, as well as
planning resources, forces, and means
necessary to neutralize, stabilize and
reduce the severity of the consequences
of the crisis. Lack of necessary
information often becomes a major
obstacle to the functioning of the
monitoring system to prevent possible
consequences. In many cases, this is due
to the untimely provision of data,
detection, and use of the necessary
resources of interconnected, sensory
means and telecommunications
networks of different operators.
3. Crisis (actions in a crisis). In a crisis
mode, the monitoring system should
provide a real-time operational mode.
Tasks must be implemented on a limited
time interval quickly and continuously.
In the event of crises in the monitoring
system, there may be problems of peak
load on all elements, in connection with
which they may significantly exceed the
functional limitations for their use.
4. Post-crisis (elimination of long-term
consequences of the crisis regime). The
post-crisis regime is transitional to the
usual and includes analysis of the crisis,
features for its elimination, modification
of the content of databases and
knowledge bases, and restoration of
normal modes of operation of the
components of the monitoring system.
        </p>
      </sec>
      <sec id="sec-7-3">
        <title>6.2. Simulation of the IoT-based</title>
      </sec>
      <sec id="sec-7-4">
        <title>Monitoring System</title>
        <p>
          An experimental study of the results obtained
on the example of an IoT system for monitoring
air parameters (Fig. 6).
wireless based on Wi-Fi technology. Wi-MAX,
LTE and LPWAN technologies can be used to
organize a global computer network (WAN) [
          <xref ref-type="bibr" rid="ref1 ref9">1,
6</xref>
          ].
        </p>
        <p>
          According to the method of the experiment,
the study was conducted indoors. Fig. 7–8
shows the change in humidity and temperature
during the day in a separate room. The
monitoring system is based on IoT network
architecture, presented in Fig. 6. These graphs
are built in real-time mode using specialized
software, proposed by authors in their
previous studies.
Fig. 6 displays architectures using a variety of
wireless technologies, such as LoRAWAN,
6LoWPAN, Z-Wave, ZigBee, and more. When
transmitting data over short distances (for
example, indoors), devices can use the PAN
provided by wireless data technologies such as
BLE (Bluetooth Low Energy), ZigBee,
6LoWPAN, and a wired USB interface. If you
are talking about data transmission over long
distances (for example, in the office), you can
use a local area network. Leading LANs in most
cases are based on Ethernet and fiber and
Thus, the studied complex of real-time
environmental parameters monitoring can be
used as a prototype for the organization of
monitoring in dynamically changing
environments and the event of critical
situations of different natures [
          <xref ref-type="bibr" rid="ref27">24–25</xref>
          ].
        </p>
      </sec>
      <sec id="sec-7-5">
        <title>6.3. Quality Analysis of the IoT-based</title>
      </sec>
      <sec id="sec-7-6">
        <title>Monitoring System</title>
        <p>By the recommendations of E.430, E.800, X.134,
and others of the International
Telecommunication Union, the Quality of
Service (QoS) is understood as a generalized
(integral) beneficial effect of the service, which
is determined by the degree of satisfaction the
user both from the received service and from
the service system itself. The QoS criterion in
the telecommunications business is usually
determined by a set of indicators of the
properties of both the provided
telecommunications service and the network
resources used. Service quality indicators are
called service QoS parameters, and network
resource quality indicators are called network
performance parameters. To quantify most of
the properties of the quality of
telecommunications services defined in the
recommendations of TL 9000 and E.800, the
corresponding indicators are introduced,
which are determined based on the
performance characteristics (parameters) of
the network. The analysis of recommendations
І.350 showed that the quality of the provided
telecommunication services is ensured at three
stages:
1. Access to information transfer
(connection establishment).
2. Transfer of user information.
3. Termination of the information transfer
session (disconnection).</p>
        <p>Each part of the service, in turn, is
characterized by three main indicators:
1. Efficiency (connection establishment
time, time (effective rate) of user
information transmission, probability of
timely delivery of user information, and
connection disconnection time).
2. Security is a property that characterizes
the ability of the system to withstand
accidental or intentional, internal or
external influences, which may result in
its undesirable state or behavior (the
probability of imposing false connections,
the probability of entering false data, the
probability of false shutdown, etc.).
3. Reliability (certainty of connection
establishment, data transmission, and
disconnection of the connection,
characterized by the probability of refusal
to establish a connection, the probability
of loss of user information, the
probability of refusal to disconnect a
connection, etc.).</p>
        <p>
          Many applications of the proposed random
access network solution indicate the possibility
of dividing the total number of nodes into
groups with different average times between
transmissions. Such a division has its technical
justification, namely if the WSN receives data
relating to different physical quantities with
different rates of change of their parameters.
For example, monitoring the parameters of the
environment, in particular the measurement of
daily changes in soil temperature and wind
speed. This example already indicates the
possibility of different frequencies of
maintenance of measurements of such
quantities. The task deserves attention because
the ability to reduce the intensity of the
movement of radio packets always has a
beneficial effect in this method to improve the
quality of transmission. The graphs below in
this section present the results of experimental
studies of WSN behavior for different
percentages of nodes with different mean times
between transmissions [
          <xref ref-type="bibr" rid="ref23 ref24">20–21</xref>
          ].
        </p>
        <p>The study was performed for the following
percentages: 10% of nodes with average
intervals between transmissions every 10 s and
90% with average intervals between
transmissions every 30 s (10%/10 s+90%/30 s
were recorded for reduction). In the future
10%/10 s +90%/60 s. The following studies are
for 1/3(33%)/10 s+2/3(67%)/30 s and two
studies are 50%/10 s+50%/30 s and 50%/10 s+
50%/60 s. (Fig. 9–13).</p>
        <p>In the presented (mentioned) task the time
of communication protocol is   = 3,2 ⋅ 10−5  .
The simulation results are obtained, which are
compatible with the expected ones, which
follow from the earlier dependences presented
by the authors.
This indicates that the longer the average time
between transmissions of node T, the better the
network works (with fewer collisions). An
essential condition is that the duration of the
communication protocol tp is much shorter
than the average time between transmissions
of nodes T. Therefore, if a significant part of
packets in the radio space can be broadcast as
infrequently as possible, the better for the
overall result. quality of radio transmission.
Therefore, the division into percentage groups
of nodes with different average times between
transmissions is quite justified. A further
consequence of this fact, which can be seen in
the graphs below compared to the results
obtained if the nodes have only one average
broadcast time, is the ability to increase
network capacity (n nodes) for a stable
transmission quality expressed by the
probability of collision.</p>
        <p>Based on the results of the computer
simulation of WSN, the correspondence of the
obtained theoretical dependences of collision
probability for:
a. the same mean times between data
transmissions.
b. the case of the division of nodes into
groups with different mean times
between data transmissions.</p>
        <p>The quality of data transmission in WSN
with random access depending on the different
percentages of nodes in the groups was
evaluated and analyzed. The influence of
groups of nodes with variable average times
between transmissions on the quality of data
transmission in WSN with random access is
investigated. Based on the results of model
studies, the convergence of theoretical
positions with the data obtained by computer
simulation of WSN with random access was
confirmed.</p>
      </sec>
    </sec>
    <sec id="sec-8">
      <title>7. Conclusion</title>
      <p>Based on the results of the analysis it was
proved today it is necessary to create a new
class of wireless networks that allow filling
certain gaps in the development of WSN
networks related to solving problems such as:
obtaining low financial costs in terms of
network nodes equipped with sensors for
general and simple applications, ease of
operation, in particular, sensor algorithms and
ease of connecting and disconnecting new
components, significant limitation of the
occupied band of radio frequencies in the
context of the growing deficit of the radio
frequency spectrum; significant energy
savings at the nodes (reduction of nodes for
data processing, no receiver signal,
autonomous operation of nodes in the
intervals of very short activity and short-term
radio radiation), especially due to lack of
energy replenishment directly related to node
operation time, complete independence of the
nodes from each other.</p>
      <p>Stochastic models of the functioning of
wireless sensor networks that use randomized
network parameters (with variable number of
nodes and random participation of nodes in
separate groups of network nodes) have been
improved. It allowed us to estimate the
probability of collision of signals and to more
effectively design communications protocols of
the IoT for critical infrastructures of the state
[26–28]. These models allowed us to estimate
the probability of collision of signals: the
maximum number of nodes that provide the
quality of transmission at the level of the
probability of collision no higher than 10-2 is
50, with the number of nodes involved in the
collision is negligible in comparison with the
average number of transmissions, in
particular, the ratio of the average number
involved in the collision of nodes to the average
number of transmissions is 10-7.</p>
      <p>Monitoring information technology was
further developed, which through the use of
stochastic models of wireless sensor networks
and advanced monitoring methods, allowed to
development of software and hardware (using
Arduino, JavaScript, NodeJs, HTML, and CSS)
monitoring of real-time environmental
parameters in real-time IoT concepts. This
complex of real-time environmental
parameters monitoring can be used as a
prototype for the organization of monitoring in
dynamically changing environments and the
event of various critical situations.</p>
      <p>Based on the developed mathematical
models of WSN, model studies were conducted
to verify the theoretical dependences of the
collision probability basis of the collision
probability modeling, which allowed to
verification of the proposed models. Based on
the results of the computer simulation of WSN,
the correspondence of the obtained theoretical
dependences of collision probability for:
a. the same mean times between data
transmissions.
b. the case of the division of nodes into
groups with different mean times
between data transmissions.
The quality of data transmission in WSN with
random access depending on the different
percentages of nodes in the groups was
evaluated and analyzed. The influence of
groups of nodes with variable average times
between transmissions on the quality of data
transmission in WSN with random access is
investigated. Based on the results of model
studies, the convergence of theoretical
positions with the data obtained by computer
simulation of WSN with random access was
confirmed.</p>
      <p>Future studies in this direction will be
focused on the security problems [27–30] of
the WSN models and IoT-based systems
(encryption, incident response, DoS/DDoS
security, and other up-to-date security
challenges).</p>
    </sec>
  </body>
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