<!DOCTYPE article
PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.4 20190208//EN"
       "JATS-journalpublishing1.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" article-type="research-article" dtd-version="1.4" xml:lang="en">
 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Intellectual Technologies on Transport</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Intellectual Technologies on Transport</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Интеллектуальные технологии на транспорте</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="online">2413-2527</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">85482</article-id>
   <article-id pub-id-type="doi">10.20295/2413-2527-2024-238-20-29</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>Математическое моделирование, численные методы и комплексы программ</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>Mathematical modeling, counting methods and software complexes</subject>
    </subj-group>
    <subj-group>
     <subject>Математическое моделирование, численные методы и комплексы программ</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">Mathematical Model of Product Display on the Shelf Space of a Retail Chain with the Presence of Expandable and Contractible Segments for Definite Types of Products</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Математическая модель выкладки товаров на полочном пространстве торговой сети с наличием расширяемых и сужаемых сегментов для определенных видов товаров</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Черняховская</surname>
       <given-names>Екатерина Сергеевна</given-names>
      </name>
      <name xml:lang="en">
       <surname>Chernyahovskaya</surname>
       <given-names>Ekaterina Sergeevna</given-names>
      </name>
     </name-alternatives>
     <email>kateryna.czerniachowska@ue.wroc.pl</email>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Вроцлавский университет экономики и бизнеса</institution>
     <city>Вроцлав</city>
     <country>Польша</country>
    </aff>
    <aff>
     <institution xml:lang="en">Wroclaw University of Economics and Business</institution>
     <city>Wroclaw</city>
     <country>Poland</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2024-07-17T00:00:00+03:00">
    <day>17</day>
    <month>07</month>
    <year>2024</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2024-07-17T00:00:00+03:00">
    <day>17</day>
    <month>07</month>
    <year>2024</year>
   </pub-date>
   <issue>2</issue>
   <fpage>20</fpage>
   <lpage>29</lpage>
   <history>
    <date date-type="received" iso-8601-date="2024-07-16T00:00:00+03:00">
     <day>16</day>
     <month>07</month>
     <year>2024</year>
    </date>
   </history>
   <self-uri xlink:href="https://itt-pgups.ru/en/nauka/article/85482/view">https://itt-pgups.ru/en/nauka/article/85482/view</self-uri>
   <abstract xml:lang="ru">
    <p>Целью исследования является разработка математической модели выкладки товара на доступном полочном пространстве магазина. Рассмотрены категории товаров (местные, повседневного спроса), которые должны располагаться в определенных сегментах полок. Характерной особенностью модели является возможность расширения и сужения данных сегментов в зависимости от количества ассортимента или сезонных изменений спроса на товар. Цель ретейлера — максимизация прибыли со сбыта товаров при выполнении ограничений на размещение товаров на полках. В обсуждении даются достоинства и недостатки приведенной модели выкладки товара. Исследование имеет важное значение для розничной торговой сети.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>The goal of the study is to develop a mathematical model for displaying products on the existing shelf space of a store. Categories of products (local, everyday demand products) that should be located in certain segments of shelves are considered. A characteristic feature of the model is the possibility of expanding and narrowing these segments depending on the number of assortments or seasonal changes in demand for products  The goal of the retailer is to maximize profits from the sale of products while complying with restrictions on the placement of products on shelves. The discussion gives the advantages and disadvantages of the given product display model. The study is important for retail chains.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>математическое моделирование</kwd>
    <kwd>оптимизация</kwd>
    <kwd>распределение места на полках</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>mathematical modelling</kwd>
    <kwd>optimization</kwd>
    <kwd>shelf space allocation</kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <p></p>
 </body>
 <back>
  <ref-list>
   <ref id="B1">
    <label>1.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Zhang W., Rajaram K. Managing limited retail space for basic products: space sharing vs. space dedication // European Journal of Operational Research. 2017. Vol. 263. P. 768–781.</mixed-citation>
     <mixed-citation xml:lang="en">Zhang W., Rajaram K. Managing limited retail space for basic products: space sharing vs. space dedication // European Journal of Operational Research. 2017. Vol. 263. P. 768–781.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B2">
    <label>2.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Bianchi-Aguiar T., Silva E., Guimarães L., et al. Using analytics to enhance a food retailer’s shelf-space management // Interfaces. 2016. Vol. 46, no. 5. P. 424–444.</mixed-citation>
     <mixed-citation xml:lang="en">Bianchi-Aguiar T., Silva E., Guimarães L., et al. Using analytics to enhance a food retailer’s shelf-space management // Interfaces. 2016. Vol. 46, no. 5. P. 424–444.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B3">
    <label>3.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Bianchi-Aguiar T., Silva E., Guimarães L., et al. Alocating products on shelves under merchandising rules: Multilevel product families with display directions // Omega. 2018. Vol. 76. P. 47–62.</mixed-citation>
     <mixed-citation xml:lang="en">Bianchi-Aguiar T., Silva E., Guimarães L., et al. Alocating products on shelves under merchandising rules: Multilevel product families with display directions // Omega. 2018. Vol. 76. P. 47–62.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B4">
    <label>4.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Reyes P. M., Frazier G. V. Goal programming model for grocery shelf space allocation // European Journal of Operational Research. 2007. Vol. 181, no. 2. P. 634–644.</mixed-citation>
     <mixed-citation xml:lang="en">Reyes P. M., Frazier G. V. Goal programming model for grocery shelf space allocation // European Journal of Operational Research. 2007. Vol. 181, no. 2. P. 634–644.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B5">
    <label>5.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Czerniachowska K. A. Genetic algorithm for the retail shelf space allocation problem with virtual segments // OPSEARCH. 2022. Vol. 59, no. 1. P. 364–412.</mixed-citation>
     <mixed-citation xml:lang="en">Czerniachowska K. A. Genetic algorithm for the retail shelf space allocation problem with virtual segments // OPSEARCH. 2022. Vol. 59, no. 1. P. 364–412.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B6">
    <label>6.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Czerniachowska K., Lutosławski K., Kozina A., et al. Shelf space allocation problem with horizontal shelf division // Procedia Computer Science. 2021. Vol. 192. P. 1550–1559.</mixed-citation>
     <mixed-citation xml:lang="en">Czerniachowska K., Lutosławski K., Kozina A., et al. Shelf space allocation problem with horizontal shelf division // Procedia Computer Science. 2021. Vol. 192. P. 1550–1559.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B7">
    <label>7.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Czerniachowska K., Wichniarek R. Shelf space allocation models in retail enterprise // Zarządzanie Przedsiębiorstwem. Enterprise Management. 2020. Vol. 23, no. 2. P. 11–15.</mixed-citation>
     <mixed-citation xml:lang="en">Czerniachowska K., Wichniarek R. Shelf space allocation models in retail enterprise // Zarządzanie Przedsiębiorstwem. Enterprise Management. 2020. Vol. 23, no. 2. P. 11–15.</mixed-citation>
    </citation-alternatives>
   </ref>
  </ref-list>
 </back>
</article>
