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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Computer Discrete Event Modeling of a Hotel Activity Using the Simevents Matlab*</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>toliy N. K</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>lli P. Sh</string-name>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Udmurt State University</institution>
          ,
          <addr-line>Universitetskaya St. 1, Izhevsk, 426034</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>V.I. Vernadsky Crimean Federal University</institution>
          ,
          <addr-line>Yalta</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <fpage>78</fpage>
      <lpage>87</lpage>
      <abstract>
        <p>This paper explores the features of the use of discrete-event modeling in the decision-making process on the regulation and improvement of hotel activities. A discrete-event model of mini-hotel activity is presented. The computer implementation of the model is performed in the SimEvents environment of the MATLAB R2018b Discrete-Event System Block. As a result of a series of computer experiments, probabilistic variants of the development of events were obtained and some recommendations for optimizing the control of the investigated hotel were provided.</p>
      </abstract>
      <kwd-group>
        <kwd>event modeling</kwd>
        <kwd>hotel activity Simevents Matlab</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>An important stage in the development of man-made systems is research and
optimization. The most effective method for studying complex systems is the simulation.
When solving the problems of optimizing management in the service sector, we are
dealing with service systems that are designed to repeatedly perform typical tasks.</p>
      <p>The queuing system is characterized by indicators of its effectiveness. If the system
works in the mode of performing the same tasks, then it is possible, once the system is
tuned, to operate it in the mode of fixed results. However, in the modern world,
situations of changing circumstances most often arise and, accordingly, there arises the need
to adjust the system in a short time in the new conditions.</p>
      <p>In this paper, the activity of a tourist mini-hotel is studied in the context of various
scenarios for the development of market events.</p>
    </sec>
    <sec id="sec-2">
      <title>The simulation model of the tourist service system</title>
      <p>Our simulation model of the tourist service system should adequately reflect the
properties of the system. The properties of the system are understood as its internal
mecha</p>
      <p>Copyright 2019 for this paper by its authors. Use permitted under Creative Commons License
Attribution 4.0 International (CC BY 4.0).
nisms and functions, the connection with the external environment, the means of
monitoring the behavior of entities (clients) when entering, staying inside and exiting the
system.</p>
      <p>The basis of the construction of our model is the principle of discrete-event
modeling.</p>
      <p>This model studies the process of customer service (entities) within the analyzed
system. At each stage of the client's journey within the tourist location, we can get all
the information that interests us, concerning both the state of the entity (client) and the
state of the service node. It is also possible to find out information about the internal
resources of the service system. Finally, within the model, algorithms for determining
system bottlenecks are provided.</p>
      <p>Below is described the direct model of the mini-hotel, created in the simulation
system Matlab R2018b, Simulink, SimEvents.</p>
      <p>Figure 1 shows a block diagram of a model space with zoning.
In our model, the different situations in which clients enter the service system are
determined by the type of statistical distribution of client receipts on the client entity
generator block. It is necessary to talk about three main types of laws for the distribution
of customers over time (Permanent, Exponential, and Uniform). It should be noted that
for special cases, the law of distribution of customer receipts in time can be set manually
using external blocks.</p>
      <p>Before entering the service system, the generated entities (clients) are given
attributes. In the case of our model, each entity is assigned two attributes - exactingness (that
is, the ability to tolerate inconveniences and disadvantages of the service system) and
the length of stay in the mini-hotel. Thus, the distribution of customers by the qualities
(attributes) is created, which brings the simulated situation closer to the actual one.</p>
      <p>In the future, the aggregate of clients staying at the hotel passes through local service
systems (so-called servers), which are characterized by the number of service elements
and the service time. Due to the fact that not all client-server relationships are ideally
optimized, situations arise, on the one hand - queues, on the other - irrationally used
resources.</p>
      <p>Of course, one of the main objectives of the hotel management system is to minimize
queues and, as a result, maximize customer satisfaction. Finally, it is necessary to
specify the monitoring systems for the state of customers in the service system (various
monitoring systems), their number is arbitrary, and the quality allows us to count and
monitor all the necessary parameters of customers and the service system.</p>
      <p>The article considers several different situations, which will be discussed below
3</p>
    </sec>
    <sec id="sec-3">
      <title>The situation of hotel activities in the tourist season</title>
      <p>For this situation, a stable and predictable load is typical during the main operating time
of the service system. At the same time, minor deviations from the norm are possible,
in the form of short-term recessions or upsurge in the flow of tourists. Also possible to
note possible bottlenecks associated with the work of personnel or logistics services.</p>
      <p>Accordingly, in management planning, it is necessary to configure the maintenance
system in such a way that:
• Minimize customer waiting time
• Minimize resource loss
• Select the segment of tourists who are most profitable for the service system.</p>
      <p>For all graphs, it is true that 500 conventional units of model time correspond
approximately to 30 calendar days.</p>
      <p>The forecast of the frequency of incoming orders from customers in the analyzed
system (on the graph on the abscissa axis shows the conditional simulation time and on
the vertical axis - the frequency of incoming orders) (figure 2).</p>
    </sec>
    <sec id="sec-4">
      <title>The situation of the hotel activity in the off-season.</title>
      <p>Service systems are characterized by certain periods of long-term uniform loads,
outside of which a fall time occurs. Usually, the time of intensive work is called the season,
and the time of recession is called the offseason. Obviously, working in the offseason
requires different management approaches and solutions than during the season.</p>
      <p>We will analyze the second situation when in low season hotel services are in
demand in the peak version for a short period of time.</p>
      <p>When entering the distribution of customers will be exponential, the conditions for
all will be about the same. Quality requirements will increase. It is possible that
dissatisfaction with the service of one or several important guests may lead to large losses of
the mini-hotel.</p>
      <p>Consider the results (in the form of graphs) in this case, when the right management
decisions are made. The graphs show the following parameters of the simulated service
system</p>
      <p>Figure 6 shows the distribution of incoming tourist traffic, along the X-axis - the
frequency of the incoming tourist flow, along Y - the duration of stay of tourists in a
hotel
Fig. 6. The number of tourists who left the mini-hotel before the stated time during the
observation period (the abscissa shows the simulation time on the axis and the frequency of the tourists
leaving the hotel on the ordinate axis)</p>
      <p>The number of customers waiting for servicing in different parts of the service
system is shown in Figure 7, the frequency of customers leaving the service system due to
a service that is not satisfactory to customers is shown in Figure 8, the dynamics of the
mini-hotel revenue growth are shown in Figure 9.</p>
      <p>Fig. 7. The distribution of incoming tourist traffic, along the X-axis - the frequency of the
incoming tourist flow, along Y - the duration of stay of tourists in a hotel
Computer simulation of the service system in a variety of situations allows you to check
and predict future market situations. This process can be effective through the use of
mathematical modeling methods in the SimEvents environment using standard blocks.
SimEvents allows you to simulate various system parameters, and then connect the
model blocks in such a way as to ensure a high level of adequacy to the actual
conditions.</p>
      <p>The article shows how to simulate the activities of a mini-hotel in the SimEvents
environment and how to calculate the load on the system. This model allows you to
optimally boot the system by regrouping services.</p>
      <p>This example of developing a system model architecture, taking into account the
logistics of moving groupings of objects, can also be used to optimize the calculation
of workload loading and other digitalization problems of hotel management.</p>
    </sec>
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