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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Methods for E-Commerce Systems Designing in the Global Economy Development Conditions Based on Mealy and Moore Machines</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Andrii Berko</string-name>
          <email>Andrii.Y.Berko@lpnu.ua</email>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Myroslava Bublyk</string-name>
          <email>my.bublyk@gmail.com</email>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Lyubomyr Chyrun</string-name>
          <email>Lyubomyr.Chyrun@lnu.edu.ua</email>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Yurii Matseliukh</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Roman Levus</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Valentyna Panasyuk</string-name>
          <xref ref-type="aff" rid="aff3">3</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Oksana Brodyak</string-name>
          <email>brodyakoksana1976@gmail.com</email>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Lyudmyla Dzyubyk</string-name>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Olga Garbich-Moshora</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Drohobych Ivan Franko State Pedagogical University</institution>
          ,
          <addr-line>Ivan Franko Street, 24,Drohobych, 82100</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Ivan Franko National University of Lviv, University street</institution>
          ,
          <addr-line>1, Lviv, 79000</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Lviv Polytechnic National University</institution>
          ,
          <addr-line>S. Bandera street, 12, Lviv, 79013</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
        <aff id="aff3">
          <label>3</label>
          <institution>West Ukrainian National University</institution>
          ,
          <addr-line>Lvivska Street, 11, Ternopil, 46004</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>The article examines the features of conducting and organising e-commerce in the development of the global economy. The efficiency of e-commerce is assessed by complex factors of ensuring public access to the Internet, the established mechanism of payment and delivery, the convenience of services of postal and logistics companies. The main advantages of ecommerce are formed the institutional measures harmonisation in domestic and European markets, supporting the domestic e-business development and expanding potential markets by attracting EU residents, stimulating the e-business infrastructure development. The article proposes models and methods of designing EC information systems. This paper examines the EC development in Ukraine, disadvantages, advantages, services, security systems and payments through IN. A vital part of the article is the development of methods for determining the efficiency of the EC, and the mathematical model of the EC information is proposed. The article describes the developed software solution of the information system for searching for arbitrage situations in the cryptocurrency market. According to requirements, the description of software implementation is carried out according to the standard (GOST 19.402-78). E-commerce system, information system, cryptocurrency exchangeб cryptocurrency market, electronic auction, business process, arbitration transaction, data stream, web server, customer service, electronic auction system, developed software, security system, internal state, exchange rate, linear partial differential operator, arbitrage transaction, traditional business COLINS-2021: 5th International Conference on Computational Linguistics and Intelligent Systems, April 22-23, 2021, Kharkiv, Ukraine ORCID: 0000-0001-6756-5661 (A. Berko); 0000-0003-2403-0784 (M. Bublyk); 0000-0002-9448-1751 (L. Chyrun); 0000-0002-1721-7703 (Y. Matseliukh); 0000-0002-4855-1472 (R. Levus); 0000-0002-5133-6431 (V. Panasyuk); 0000-0002-9886-3589 (O. Brodyak); 0000-00016942-9436 (L. Dzyubyk); 0000-0002-3172-5499 (O. Garbich-Moshora)</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>In globalisation and the dynamic development of information and telecommunication technologies,
the global Internet has become increasingly used in everyday life. This network functions expansion
with the annual growth of the audience with access to the World Wide Web. The information-search is
added to the value of regulation, entertainment, and so on. The Internet has become a channel for the
effective sale of goods and services. It has led to a revolution in the organisation and conduct of trade.
Both the external relations between companies and their partners or clients and the internal structure of
the companies themselves have changed. Not only new directions of business have appeared, but those
that already exist have been modified.
EMAIL:
(M. Bublyk);
romanlevus@gmail.com
(R.</p>
      <p>Levus);</p>
      <p>2021 Copyright for this paper by its authors.</p>
      <p>
        Of particular relevance are studying in the field of Internet economics (digital economy) on the
prospects for the development of e-business. E-business can be divided into two forms [
        <xref ref-type="bibr" rid="ref2 ref3">1, 2</xref>
        ]: E-business
as a basis for business creation; E-business as an additional tool for the development of existing
traditional business. E-business as a basis for creating a business is a business model, where most
business processes are performed using information technology (IT) of the Internet [
        <xref ref-type="bibr" rid="ref3">2</xref>
        ].
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. Related works</title>
      <p>
        The emergence and development of a new type of commercial activity, formed under the influence
of Internet technologies, current trends in the development and application of the Internet in economic
activities are studied in the works [
        <xref ref-type="bibr" rid="ref4 ref5">3, 4</xref>
        ], where e-business is the transformation of fundamental business
processes with the help of IT. E-business has begun to revolutionise business entirely and the economy
[
        <xref ref-type="bibr" rid="ref5 ref6">4, 5</xref>
        ]. It is any business activity that uses the opportunities of global information networks (Internet)
for the transformation of internal and external links for profit. The internal organisation of the company
based on the Intranet (a single information networks), which enhances the effectiveness of employee
interaction and streamlines planning and management processes; Extranet (external interaction) with
partners, suppliers, and customers are all part of e-business [
        <xref ref-type="bibr" rid="ref7">6</xref>
        ]. E-commerce is an essential element of
e-business [
        <xref ref-type="bibr" rid="ref8 ref9">7, 8</xref>
        ]. E-commerce is any form of business transaction conducted with the help of the
Internet. E-commerce in the broad sense (digital economy) is [
        <xref ref-type="bibr" rid="ref10 ref11 ref12 ref13 ref14 ref15">9-14</xref>
        ]:
 Global e-marketing, including the promotion of traditional goods/services (interactivity - the
ability for dialogue - the media to change the paradigm of advertising and market research);
 E-commerce in the narrow sense that involves the trade-in of subtle goods (content) that are
transmitted and/or paid for in digital form (such interests include content in text, graphic or audio
format);
 Seized services (services related to consulting, legal and accounting support, and so on., which
are held at a distance);
 Remote work (it becomes possible to organise distributed offices in the intangible production
sphere; people work in different premises, cities, countries work together).
      </p>
      <p>
        For Ukraine, according to the authors of [
        <xref ref-type="bibr" rid="ref16 ref4">3, 15</xref>
        ], it is imperative to enter the international system of
e-commerce to prevent the gap in development and uneven accumulation of capital.
      </p>
      <p>It should be noted that most research in the field of e-commerce, as a component of e-business, is
carried out by specialised analytical companies and is narrow. However, the study of current trends and
prospects for the development of e-business in terms of international experience is not thoroughly
carried out, which necessitates this study.</p>
      <p>
        The Internet has created and promoted new markets that make up the relevant segment of the world
and national economy. Therefore, Ukraine's national economy is already facing an issue that requires
comprehensive diagnostics to form a digital economy. According to the results of the assessment of
trends in the national economy outlined in [
        <xref ref-type="bibr" rid="ref10">9</xref>
        ], it is envisaged to stimulate the electronic economic
activity development (digital business). It is also to create conditions, in particular, for expanding the
e-market as a system of economic relations in cyberspace using information and communication
technologies. In the aggregate, determines the preconditions for the formation of the very concept of
eentrepreneurship (e-business) [
        <xref ref-type="bibr" rid="ref17 ref18 ref19 ref20 ref21 ref22 ref4">3, 16-21</xref>
        ] as an independent, systematic, risky economic activity in
cyberspace, carried out using information and communication technologies to make a profit and achieve
other economic and social results.
      </p>
      <p>
        The construction and development of e-entrepreneurship, as a mechanism for the growth of national
economies, is a strategic goal of the European Union, the United States, Canada, Japan and more. In
these countries, electronic means of selling and promoting products have long been the basis of
marketing policy for most businesses and organisations. Their impact on the economy as a whole,
according to the authors [
        <xref ref-type="bibr" rid="ref23 ref24 ref25 ref26 ref27 ref28 ref4">3, 22-27</xref>
        ], is most noticeable here. At the same time, Ukraine's proximity to
the EU and its strategic plans for European integration, in our opinion, necessitates constant monitoring
of development trends and the impact of e-commerce on the national economy.
      </p>
      <p>
        In addition, the dynamic development of information and communication technologies, the
foundations of the traditional economy, and business principles have changed. A new way of
conducting and organising business activities is electronic, which involves implementing economic
processes on the Internet. E-business should be understood as justified in work [
        <xref ref-type="bibr" rid="ref4">3</xref>
        ] any form of
entrepreneurial activity that consists of Internet technology to transform business processes and (or)
production and organisational relationships. The formation and promotion of new e-business in the
modern world are due to objective conditions and preconditions. According to [
        <xref ref-type="bibr" rid="ref29 ref3 ref30 ref31 ref32 ref33">2, 28-32</xref>
        ], this is a high
degree of computerisation and gadgetization of society. In addition, to spread e-business, it is necessary
to provide access to the Internet for the public. Another prerequisite for business electrification is
achieving a certain level of integration (content and technology) of internal corporate information
systems and the Internet. The primary basis of e-commerce has become traditional commerce, but
unlike the latter, information networks give e-commerce more flexibility. In works [
        <xref ref-type="bibr" rid="ref3 ref34 ref35 ref36 ref37 ref38 ref39 ref40">2, 33-39</xref>
        ], the
author identifies 5 clusters of e-commerce entities:
 Consumers (C-consumer), individuals;
 Business organization (B-business);
 State bodies (G-government, sometimes A-administration);
 Employees (E-employee);
 Financial institutions (provide settlements between other e-commerce entities).
The most widespread are business models in the field:
 B2B (business – business) is the interaction of business structures in e-commerce (marketing,
information services via the Internet, online tenders, sales of equipment for business, etc.)
 B2C (business – customer) is an end-user e-commerce system (online retail stores).
      </p>
      <p>In the conditions of transformation of the national economy of Ukraine, the main advantages of
conducting and organising e-business should be harmonisation of institutional measures for
ecommerce in domestic and European markets, support for domestic e-business and expansion of
potential markets by attracting EU residents, stimulating e-business development of infrastructure.</p>
      <p>
        In the works [
        <xref ref-type="bibr" rid="ref3 ref41 ref42 ref43 ref44 ref45 ref46">2, 40-45</xref>
        ], it is noted that the efficiency of enterprises engaged in e-commerce is
determined by some complex factors: the level of public access to the Internet, the mechanism of
payment and delivery, the convenience of postal and logistics companies.
      </p>
      <p>
        Currently, Internet users in Ukraine are more than 23 million people, which is about 58% of the
population. Compared to European countries, this level is deficient: in the EU it is almost 82%. It is
also worth noting that the number of Ukrainians who make online purchases is small. If in Ukraine, in
2015 3.7 million people did online shopping, which is 8.4% of the total population, and the average
cost per person was 286 euros, the similar average value for European online shoppers was 43%, and
the average price of 1,540 euros in the amount [
        <xref ref-type="bibr" rid="ref15">14</xref>
        ].
      </p>
      <p>
        Despite the small share of Ukrainian buyers who make online purchases, there has been increasing
sales (in monetary terms): in 2017, the figure reached 1.52 billion euros (Fig. 1). Although the share of
e-commerce in total retail sales is insignificant (7.8%), given the growth rate of network penetration,
the number of Internet users, and the dynamics of e-commerce revenue in previous years, the author [
        <xref ref-type="bibr" rid="ref10">9</xref>
        ]
predicts its growth. Therefore, simple linear trends of both sales volumes on the Internet and their
growth rates were constructed (Fig.1) with an allowable forecast accuracy of 95% and 94%,
respectively. Their corresponding approximation equations and coefficients of determination are given
in Table 1. Having constructed the forecast values of sales on the Internet and their growth rates in
Ukraine in 2018-2022 in table 1, we see that online sales by 2022 should reach 2.3 billion euros, and
growth rates should grow annually by more than 25%. So in 5 years, we will get a value close to 5 billion
euros, twice the previous value. The latter value is more realistic in terms of the e-entrepreneurship
dynamics, which is now in a phase of rapid growth. Despite the fact that now, there is a downward trend
in the growth rates of developed markets; a significant increase is gaining in Southern and Eastern
European countries. In terms of e-commerce growth in 2017 compared to 2010, Ukraine [
        <xref ref-type="bibr" rid="ref15">14</xref>
        ] ranks first
with a rate of 760%. It is also worth noting that the average growth rate for the analys ed period from
2010 to 2017 was 30.5%, which is the highest among Eastern European countries.
      </p>
      <p>
        Postal and logistics operators note the growth of B2C e-commerce. Over the last few years, the
annual number of B2C parcels sent to customers in the domestic market and abroad to other European
countries has reached 4.2 billion in number [
        <xref ref-type="bibr" rid="ref15">14</xref>
        ]. The most common way to deliver goods ordered online
are various delivery services. This method of order delivery is the best for large cities, but in small
towns, there are some problems: low demand, difficulty controlling the quality of service, high cost. At
the initial stage of e-business operation, you can use the outsourcing of delivery services and enter into
an agreement with a company that specialises in this. For example, in Ukraine Cargo Express, Mist
Express and Nova Poshta offer such services. However, when the flow of orders becomes constant, you
can already think about organising your own delivery service.
To ensure the success of e-commerce, such an element as convenient payment is not enough. In
addition, online merchants should offer flexible distribution solutions, free returns, and clear content
about shipping locations and delivery times.
      </p>
      <p>Convenient payment is an essential element of e-commerce. For successful cross-border sales, it is
necessary to provide an ordering approach that will be localised for each market. In addition, this is the
choice of a suitable payment service provider, which will meet the needs of a wide range of consumers.
PayPal is one of the providers that already have comprehensive global coverage and reputation. But
still does not work fully in Ukraine, but is only used to pay for purchases in foreign online stores, such
as eBay, because money does not come to Ukraine abroad.</p>
      <p>
        The authors of [
        <xref ref-type="bibr" rid="ref4 ref47 ref48 ref49 ref50">3, 46-54</xref>
        ] note that the product structure of online shopping has changed. In the
precrisis period, including 2013, electronics and household appliances occupied the most significant niche.
The following most essential segments of online sales were tickets (aviation), clothing and footwear,
goods for cars, goods for children, cosmetics and perfumes, tickets (events), books and others. Since
2014, commodity priorities have changed somewhat. In particular, security and protection goods,
personal protective equipment, security and notification systems were actively growing. The Internet
trade in building materials became more and more widely used.
      </p>
      <p>
        The problem that constrains both the development and research of e-business is the partial definition
of the top online stores, only comparing the number of visits to the site over a period. Unfortunately,
such criteria as the number of pages viewed per visit, the time spent on the site, the volume of turnover
are not collected centrally and are not available to the public, or are only available for a limited number
of online stores. It is due to the low level of e-commerce development and its opacity in Ukraine,
according to works [
        <xref ref-type="bibr" rid="ref10">9, 55-61</xref>
        ], and the market players instability.
      </p>
      <p>
        Rozetka.com.ua remains the most prominent player in Ukrainian Internet commerce. Also in the
five top are its competitors - allo.ua, citrus.ua, and comfy.ua. In fifth place - online cosmetics store
makeup.com.ua, and in sixth place - modnakasta.ua. Thus, the positions of leaders almost correspond
to the rating of the most popular product categories among Ukrainian online buyers - in Ukraine on the
Internet most often buy home appliances and electronics (52%), clothing (45%), cosmetics and
perfumes (34%) [
        <xref ref-type="bibr" rid="ref10 ref19">9, 18, 62-70</xref>
        ]. To ensure the growth of the Ukrainian segment of e-business, it is
already necessary to analyse current trends in e-commerce. Here are the data for comparing the position
of the world and Ukrainian leader in e-commerce (Table 2).
      </p>
      <p>As you can see, the gap is significant in all respects. Although Rozetka is far from the 50th position
in the list of world leaders in terms of annual turnover, 708 place in the ranking of sites is worth
acknowledging. Rozetka remains the undisputed leader in the Ukrainian market, is one of the most
expensive Ukrainian brands and demonstrates Ukraine's potential in the field of e-commerce.</p>
      <p>
        To construct a mathematical model of the e-commerce systems (ECS), we hypothesise that
ecommerce is a component of the e-markets. E-markets use advanced IT for interaction among the
business process or business to be effective with customers, suppliers, and business partners, including
sales, marketing, financial analysis, payments, search for employees, customer support, and support
partnerships [
        <xref ref-type="bibr" rid="ref20 ref3 ref5">2, 4, 19</xref>
        ]. Electronic Data Interchange (EDI) of e-markets imposes the basic requirements
[
        <xref ref-type="bibr" rid="ref21 ref3 ref8">2, 7, 20</xref>
        ]: a single syntax of exchange; the ability to select data items; the only format for representing
items when generating messages and files for sharing. Basic principles of e-markets [
        <xref ref-type="bibr" rid="ref22 ref3">2, 21</xref>
        ]:
 Simple and uniform application of standardised rules for electronic document drafting in the
      </p>
      <p>EB;
 Use of single specifications to the maximum extent possible;
 Provision of open e-commerce standards: B2B and B2C;
 Minimise the cost of sharing application-by-application;
 Providing multilingual support;
 Taking into account national and international trade rules;
 Respect for traditional EDI principles based on the UN / EDIFACT standard;
 Unified packet and routing specifications.</p>
      <p>
        E-markets based on information management and the latest IT (knowledge management) are
powerful tools that facilitate the functioning of virtual markets and make the virtual business profitable
for e-commerce entities [
        <xref ref-type="bibr" rid="ref23 ref3">2, 22</xref>
        ]. Virtual-markets and e-commerce entities (groups of people) that jointly
engage in commerce regardless of their physical location, crossing borders of businesses and countries,
in real-time (synchronous) or delayed mode (asynchronous).
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. Material and methods</title>
      <p>
        This function is a Boolean (alphabets X and Y are two letters). Example: an e-auction or system for
cryptocurrency exchange, whose work depends entirely on the input of users (the choice of auction or
cryptocurrency, product, bid), and the initial content is to answer the question of whether this product
is sold and, if sold, to whom. The final ECS processes are divided into synchronous and asynchronous.
Synchronous is readings of input information, and all changes occur at specific points in time, which
are determined by an external source of synchronisation (the sale of goods in ES takes place in
realtime). Asynchronous processes of the system read the input data constantly. And they change the output
until they become stable, moving from one state to another several time. The e-auction or
cryptocurrency exchange system reads the input data constantly and from one state to another.
Gradually, it goes into a stable state of sale of goods according to the auction/ cryptocurrency exchange
terms. The description of the finite processes of the system (assigning all elements of the set
F = &lt;Z, X, Y, , , z0&gt;) is most often carried out in a tabular, graphical or matrix manner [
        <xref ref-type="bibr" rid="ref3">2, 71-81</xref>
        ].
      </p>
      <p>
        The simplest way is a spreadsheet-based on conversion tables and outputs, the rows of which
correspond to system input and the columns to its states. The first left column corresponds to the initial
state z0. At the intersection of the i-th row and the k-th column of the transition table, there is a
corresponding value of the transition function (zk, xi), and in the output table, the corresponding value
of the process of outputs (zk, xi) [
        <xref ref-type="bibr" rid="ref3">2</xref>
        ]. The function of transitions of the information system ES [
        <xref ref-type="bibr" rid="ref3">2</xref>
        ] is
presented in Table 3. Information system outputs function ES [
        <xref ref-type="bibr" rid="ref3">2</xref>
        ] is shown in Table 4.
      </p>
      <p>
        For the F-system for e-auction/cryptocurrency exchange, both tables can be reconciled by obtaining
a so-called process table in which above each state zk of the system there are corresponding output data
(zi) [
        <xref ref-type="bibr" rid="ref10 ref2 ref3 ref4 ref5 ref9">1-4,8,9</xref>
        ]. Table 5 shows a marked information system for e-auction/cryptocurrency exchange.
      </p>
      <p>
        An example of a table problem of the F-system ES F1 with three states, two input and two output
data streams is given in Table 6, and the F2 F-system for e-auction / cryptocurrency exchange with five
states, two input data streams and three output ones, in Table 7 [
        <xref ref-type="bibr" rid="ref10 ref2 ref3 ref4 ref5">1-4,9</xref>
        ].
where x1 is registration in the e-auction / cryptocurrency exchange,
x2 is bid,
z0 is formation of a special code,
z1 is provision of registration,
z2 is formation / continuation of the list of players,
z3 is beginning / continuation of the auction / cryptocurrency exchange,
z4 is end of the auction / cryptocurrency exchange,
y1 is special code for registration,
y2 is confirmation of registration,
y3 is the result of the auction / cryptocurrency exchange.
      </p>
      <p>
        The graphical way of describing the F-system uses the notion of a directed ECS graph - a set of
vertices that correspond to certain states and arcs that connect these vertices and communicate to
transitions (processes) from one state to another. If the xk input data stream causes the change (function)
of the system from state zi to state zj, then on the system graph, the arc exiting the vertex zi and entering
the vertex zj is denoted xk. For the ES system, the output stream is indicated in the same turn. For the
eauction/cryptocurrency exchange system, the output signal is displayed above the top. Examples of
descriptions of the above systems F1 and F2 using graphs are shown in Fig. 2 [
        <xref ref-type="bibr" rid="ref10 ref5">4,9</xref>
        ]. Mathematically
most convenient is the matrix form of describing a finite set of ECS processes. The ECS connection
matrix is a square matrix С = ||cij||, the rows corresponding to the output data streams and the columns
to the transition states (processes). For the ES system, the element cij = xk/ys at the intersection of the
ith row and the j-th column corresponds to the input data stream xk, which causes a transition (process)
from state zi to state zj, and output data ys that appears in this transition.
1
z0
x2
x2
z3
x1
x1
y2
x1
x1
y3
z1
x2
z2
      </p>
      <p>Suppose the transition (process) from state zi to state zj occurs under the action of multiple data
streams. In that case, the element of the matrix cij is the set of input-output pairs for this transition
connected by a disjunction sign. For the e-auction/cryptocurrency exchange F-system, the element cij
is equal to the collection of input data flows during the transition (zi, zj), and the vector of the output
data streams describes the output:
y3
z4</p>
      <p>x2

y 
z0
z1</p>
      <p>...
zK 
i-th the component of which is the output data stream corresponding to the zi state.</p>
      <p>The F2 system discussed above is the connection matrix and the output vector as follows:
y1
y2
  xx12  x2 x1 
„1   x2 x2 x1  x1 ; y  yy32</p>
      <p> x2  x1    y3</p>
      <p>For F-systems, the concept of steady-state is introduced. A state zk is said to be stable if for any input
signal xi  X when (zk,xi) = zk,, the condition (zk,xi) = yk holds. F-system processes are called
asynchronous if each state zk  Z is stable. An example of a graphical representation of an asynchronous
e-auction/cryptocurrency exchange system is given in Fig. 3.
z0</p>
      <p>x3
x1
x2
y2 z1
x2,x3</p>
      <p>In practice, ECS processes are always asynchronous, and the stability of their states is achieved in
various ways, such as the introduction of threads/synchronisation processes. At the level of the abstract
model, it is easier to operate finite synchronous operations of the ECS.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Experiments, results and discussion</title>
      <p>The developed software product is designed to search for and fulfil arbitrage opportunities in the
cryptocurrency market among some popular exchanges. The created application is called "arbitrage"
and written in JavaScript, running on the Node.js platform. Several popular frameworks are used,
including request, express, fs and others. The system is created using the Atom development
environment. The developed software implementation of the program can be used as an information
system for finding and analysing arbitrage opportunities in the cryptocurrency market among a wide
range of exchanges and as management - for automation and control or reporting on arbitrage
transactions. It is necessary to provide API keys from conversations with permission to trade, check
balances, generate and obtain addresses for cryptocurrency deposit and permission to withdraw funds
from the business to use this system, namely the automation of arbitrage transactions. It is also possible
to control the system using third-party software - Telegram messenger, pre-creating a bot in it and
giving the system it's API-key. Basic knowledge from the cryptocurrency principles peculiarities and a
minimum understanding of the trading markets, in general, is needed to understand the processes taking
place and manage the system. The software runs on operating systems such as Windows, Linux, Mac
and all others that support installing the Node.js platform.</p>
    </sec>
    <sec id="sec-5">
      <title>4.1. Classes of solvable problems and main characteristics and features of the program</title>
      <p>The created software solves many problems, the end result of which is the detection of arbitrage
situations in the cryptocurrency market among a number of exchanges; it is also possible to
automatically conduct such transactions. After the user launches the system, the program makes a series
of requests to the exchanges' servers to collect the necessary content [82-84]. It will be used to form a
structured data set that will contain content on price changes in the cryptocurrency market on each of
the exchanges presented in the system of cryptocurrency operations on these exchanges, etc. Based on
the data previously described, their analysis is carried out by one of the components of the system, the
result of which is the identification of arbitration opportunities. When the user agrees, the system
executes the found arbitration transactions and notifies the user about their progress, from start to finish,
in detail by sending information notifications.</p>
      <p>The peculiarity of the program is that it can work in two modes:
1. An information system;
2. An information and management system.</p>
      <p>In the first case, the system works purely as content when the user does not provide API keys from
exchanges. Then the software only provides the ability to view the found arbitration opportunities and
other data to the user that can be used for any purpose.</p>
      <p>In the second case, the system provides the same function as in the first case, but if API keys from
exchanges, the user can automatically conduct arbitrage transactions, thus controlling the process to
carry out transactions on their exchange accounts. Checking the correctness of the system is carried out
by the system itself. In case of an error, the system user will receive a detailed information message
with its description. The user himself can hardly influence the program's correct operation because the
input data and certain functionality do not affect the principles of the system. Information on functional
limitations and applications to use this software requires a device running Windows, Linux, Mac, or
any other operating system that supports the Node.js platform. As for the technical requirements, it is
necessary to have a device with sufficient RAM and a modern processor to ensure fast calculation of
operations, processing, and analysis of content for the system's productive operation. It is important to
have high-speed Internet access, without which the system will not receive data and find solutions to
problems and will be generally useless.</p>
    </sec>
    <sec id="sec-6">
      <title>Analysis of the control example</title>
      <p>Before starting the system itself, provided that the module that automates arbitrage transactions is
used, the user must provide the system with API keys from their exchange accounts with permissions
to perform
 Some transactions (the ability to trade, receive account information, withdraw</p>
      <p>cryptocurrencies);
 API key from the previously created bot in the Telegram messenger for the possibility of
notifications and remote control of the system.</p>
      <p>API keys are stored in the file arbitrage/automation/keys.json (Fig. 4).</p>
      <p>Next is the need to install the Node.js platform version 8.11.3 or later. The system itself is started
using the console. You need to go to the project's root folder (arbitrage) and run the command "node
app.js". If necessary, the system will load all the necessary modules for its operation at the first start.
After their successful installation, the system itself starts working directly. Immediately after its launch,
the system sends requests (Fig. 5). To the servers of exchanges, obtain the necessary data and their
further analysis and processing, after which the corresponding exchange objects will be formed.</p>
      <p>It is followed by analysing the data contained in the objects of exchanges and the search for price
differences. The next step is to run the analysis "in-depth" and generate results. The output of messages
on the application of this analysis is shown in Figure 6.</p>
      <p>The results are presented on the main page of the system, located at 127.0.0.1:3000 (Fig. 7). On the
main page, the user can disable or enable periodic data updates, hide the result of calculations "in depth",
and set filters: select the list of exchanges to buy and sell, set the status of cryptocurrency exchanges,
the ability to trade, choose quota currencies, etc. (Fig. 8). Below the page, there is an arbitration table
(Fig. 9). It provides data on arbitrage situations found, without in-depth analysis, i.e. without
considering volumes, but only the lowest selling price and the highest buying price in the stock
exchange glass. The presentation of data on the found arbitration situations with the analysis "in depth"
is given in Fig. 10.</p>
      <p>This message consists of:
 The name of the cryptocurrency pair,
 The terms of exchanges for buying and selling,
 The names of cryptocurrencies on various exchanges and their tickers,
 A direct link to trading on these exchanges, the amount that can be purchased,
 The amount of purchase and sale,
 Potential profit,
 Approximate the time of the transaction and the number of required confirmations in the
cryptocurrency network needed for the exchange, where it is transferred, etc.</p>
      <p>When an API key is provided to a bot in Telegram Messenger, the user is immediately notified that
an arbitration situation has been found according to predefined criteria. The message sent (Fig. 11) is
identical to the content provided on the system's main page. Sending notifications to the messenger
eliminates the need for the user to be constantly near the monitor screen to wait for the arbitration
transaction.</p>
      <p>Both on the system's web page and with the help of a bot in the Telegram messenger, the user has
the opportunity to conduct an arbitration transaction. It is done by clicking the appropriate button below
the message. It is also possible to ignore a specific transaction. For one reason or another, the arbitrage
option with the specified parameters will be missed by searching for the selected period. If the user has
decided to conduct an arbitration transaction and clicked on the appropriate button, the messenger
receives a message about its successful acceptance for processing by the system (Fig. 12).</p>
      <p>The following notification to the user is receiving a message about the amount of purchased
cryptocurrency and spent quota currency (Fig. 13).</p>
      <p>The last notification is the result of the arbitration transaction (Fig. 14). The message consists of the
following data:
 Transaction ID,
 Cryptocurrency name,
 Ticker,
 Names of exchanges for buying and selling realised profit,
 Conversion of realised profit into dollar (at the current rate or the rate specified in the system
code),
 Percentage change in balance,
 Quantity of purchased cryptocurrency,
 The amount of received quota,
 The number of cryptocurrencies that was not sold,
 At the time of the transaction,
 The initial parameters for buying and selling etc.</p>
      <p>In case of an error, the user receives a message with a detailed description (Fig. 15).</p>
      <p>To end the program, press Ctrl + C in the console with the system running.</p>
      <p>The functionality of the developed system, principles and features of work, its purpose are
considered. Input and output files, their contents, the structure of intermediate data used by the system's
main processes are described. A control example of using the program is given, and starting and
installing the system is considered.</p>
    </sec>
    <sec id="sec-7">
      <title>5. Conclusions</title>
      <p>This paper examines the development of EC in Ukraine, disadvantages, advantages, services,
security systems and payments through IN. A key part of the article is the development of methods for
determining the efficiency of the ECS, and the mathematical model of the information ECS is proposed.
The article describes the developed software solution of the information system for searching for
arbitrage situations in the cryptocurrency market. According to requirements, the description of
software implementation is carried out according to the standard (GOST 19.402-78). The programming
language used in system development, frameworks, development environment and other technologies
used in system development are indicated. The technical requirements for the installation and proper
functioning of the developed system are determined. A user manual has created that contains the
necessary content on the specifics of the operation of this software. The functionality of the developed
system, principles and features of work, its purpose are considered. Input and output files, their contents,
the structure of intermediate data used by the system's main processes are described. A control example
of using the program is given, and starting and installing the system is considered.</p>
    </sec>
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