<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE root>
<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" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="other" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Digital Economy &amp; Innovations</journal-id><journal-title-group><journal-title xml:lang="en">Digital Economy &amp; Innovations</journal-title><trans-title-group xml:lang="ru"><trans-title>Цифровая экономика и инновации</trans-title></trans-title-group></journal-title-group><issn publication-format="print">3034-2074</issn><issn publication-format="electronic">3034-4204</issn><publisher><publisher-name xml:lang="en">Togliatti State University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">125</article-id><article-id pub-id-type="doi">10.18323/2221-5689-2018-2-11-16</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="article-type"><subject></subject></subj-group></article-categories><title-group><article-title xml:lang="en">THE FORMULATION OF THE ECONOMIC AND MATHEMATICAL MODEL OF SERVING SYSTEM ON THE EXAMPLE OF PUBLIC TRANSPORT BUS TRAFFIC MANAGEMENT</article-title><trans-title-group xml:lang="ru"><trans-title>ПОСТРОЕНИЕ ЭКОНОМИКО-МАТЕМАТИЧЕСКОЙ МОДЕЛИ СИСТЕМЫ МАССОВОГО ОБСЛУЖИВАНИЯ НА ПРИМЕРЕ ОРГАНИЗАЦИИ ДВИЖЕНИЯ МАРШРУТНЫХ АВТОБУСОВ</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Kravtsova</surname><given-names>Margarita Vladislavovna</given-names></name><name xml:lang="ru"><surname>Кравцова</surname><given-names>Маргарита Владиславовна</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>postgraduate student</p></bio><bio xml:lang="ru"><p>аспирант</p></bio><email>mkravcova@hse.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">National Research University “Higher School of Economics”, Moscow</institution></aff><aff><institution xml:lang="ru">Национальный исследовательский университет «Высшая школа экономики», Москва</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2018-06-29" publication-format="electronic"><day>29</day><month>06</month><year>2018</year></pub-date><issue>2</issue><issue-title xml:lang="en"/><issue-title xml:lang="ru"/><fpage>11</fpage><lpage>16</lpage><history><date date-type="received" iso-8601-date="2022-04-14"><day>14</day><month>04</month><year>2022</year></date><date date-type="accepted" iso-8601-date="2022-04-14"><day>14</day><month>04</month><year>2022</year></date></history><permissions><ali:free_to_read xmlns:ali="http://www.niso.org/schemas/ali/1.0/"/></permissions><self-uri xlink:href="https://vektornaukieconomika.ru/jour/article/view/125">https://vektornaukieconomika.ru/jour/article/view/125</self-uri><abstract xml:lang="en"><p>The paper considers and implements a serving system on the example of a particular management task of the system of a public transport bus run. This system plays the important role in the sphere of economics and everyday life where, on the one hand, mass requirements for the performance of certain services occur, and, on the other hand, these requests are being satisfied. The author determined the principles of the operational efficiency of the system, which affect the optimization of traffic flow, defined the basic elements and developed the algorithm of work of the system with the formation of input and output data. The paper formulates the economic and mathematical model, where with the help of specially developed software code and using the possibilities of C++ tools, the modeling happens, particularly, in terms of satisfaction of passenger requirements coming into this system. Special features are taken into account within the computer program that makes the simulation model an effective tool for decision-making in the conditions of uncertainty. In addition to the description of the model, the paper presents the results of the calculations in graphical and tabular views to use them for the visual demonstration of the options of the situation results. The simulation model, which imitates the passenger pick-up and drop-off, is designed to collect the queue statistics and to find the random variable distribution. According to the results of the study, the solution of the task for simulation of the events at the bus stop is received. This model gives an opportunity to plan the events at the bus stop in order to achieve the uniformity of load and the route dynamism, to identify the capacity problems that have the negative impact on the transport cycle operation.</p></abstract><trans-abstract xml:lang="ru"><p>В статье рассмотрена и реализована система массового обслуживания на примере конкретной управленческой задачи системы рейса маршрутного автобуса. Данная система играет важную роль в области экономики и быта, где, с одной стороны, возникают массовые требования на выполнение определенных услуг, а с другой стороны, происходит удовлетворение этих запросов. Выделены принципы эффективности работы системы, которые влияют на оптимизацию работы автобусного потока. Определены основные элементы, и разработан алгоритм работы системы с формированием входных и выходных данных. Построена экономико-математическая модель, в которой при помощи специально разработанного программного кода и с использованием возможностей инструментов С++ происходит имитация, в частности, удовлетворения требований пассажиров, поступающих в данную систему. Характерные особенности учитываются в компьютерной программе, что делает имитационную модель действенным инструментом принятия решений в условиях неопределенности. Помимо описания модели, по итогу ее использования приведены результаты расчетов в графическом и табличном видах для наглядного изображения вариантов исходов ситуации. Модель, имитирующая посадку и высадку пассажиров, приспособлена для сбора статистики очереди и нахождения распределения случайной переменной. По результатам исследования получено решение задачи по имитированию событий на автобусной остановке. Данная модель дает возможность планировать события на автобусной остановке с целью достичь равномерности нагрузки и динамичности маршрута, выявить проблемы пропускной способности, которые негативно влияют на работу транспортного цикла.</p></trans-abstract><kwd-group xml:lang="en"><kwd>simulation model</kwd><kwd>serving system</kwd><kwd>public transport bus run</kwd><kwd>transport system</kwd><kwd>passenger traffic</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>имитационная модель</kwd><kwd>система массового обслуживания</kwd><kwd>рейс маршрутного автобуса</kwd><kwd>транспортная система</kwd><kwd>пассажиропоток</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><citation-alternatives><mixed-citation xml:lang="en">Loginova N.A., Pyrvanov Kh.P. Organizatsiya predprinimatelskoy deyatelnosti na transporte [The organization of business activity in transport]. Moscow, Infra-M Publ., 2013. 260 p.</mixed-citation><mixed-citation xml:lang="ru">Ерофеенко В.Т., Козловская И.С. Уравнения с частными производными и математические модели в экономике. М.: Огни, 2016. 310 c.</mixed-citation></citation-alternatives></ref><ref id="B2"><label>2.</label><citation-alternatives><mixed-citation xml:lang="en">Dzhaarbekov S.M. Bukhgalterskiy uchet, nalogi, khozyaystvennoe pravo [Accounting, taxes, business law]. Moscow, SBI Publ., 2001. 733 p.</mixed-citation><mixed-citation xml:lang="ru">Wallis I., Lawrence A. Forecasting Perth’s public transport patronage: econometric analysis and model development // Australasian Transport Research Forum. Australia: Department of Infrastructure and Regional Development, 2016. P. 15–22.</mixed-citation></citation-alternatives></ref><ref id="B3"><label>3.</label><citation-alternatives><mixed-citation xml:lang="en">Mirotin L.B. Logistika v avtomobilnom transporte [Logistics in road transport]. Moscow, FENIKS Publ., 2015. 240 p.</mixed-citation><mixed-citation xml:lang="ru">Абланская Л.В., Бабешко Л.О., Баусов Л.И. Экономико-математическое моделирование. М.: Экзамен, 2014. 800 с.</mixed-citation></citation-alternatives></ref><ref id="B4"><label>4.</label><citation-alternatives><mixed-citation xml:lang="en">Troitskaya N.A., Chubukov A.B. Edinaya transportnaya sistema [Integrated transport system]. Moscow, Akademiya Publ., 2013. 240 p.</mixed-citation><mixed-citation xml:lang="ru">Zhao F., Li M.-T., Chow L.-F., Zhang H. Simulation Model for Estimating Bus Dwell Time by Simultaneously Considering Numbers of Disembarking and Boarding Passengers // Transportation Research Record. 2006. № 1971. P. 59–65.</mixed-citation></citation-alternatives></ref><ref id="B5"><label>5.</label><citation-alternatives><mixed-citation xml:lang="en">Rossiyskiy statisticheskiy ezhegodnik. 2017 [Russian statistical sourcebook. 2017]. Moscow, Rosstat Publ., 2017. 725 p.</mixed-citation><mixed-citation xml:lang="ru">Bakul K., Pal M. Bulk Service Queuing System with Impatient Customers: A Computational Approach // Thailand Statistician. 2017. Vol. 15. № 1. P. 1–10.</mixed-citation></citation-alternatives></ref><ref id="B6"><label>6.</label><citation-alternatives><mixed-citation xml:lang="en">Cats O., Larijani A., Koutsopoulos H.N., Burghout W. Impacts of Holding Control Strategies on Transit Performance. Bus Simulation on Transit Performance. Transportation Research Record, 2011, no. 2216, pp. 51–58.</mixed-citation><mixed-citation xml:lang="ru">Lee D.H. A note on the optimal pricing strategy in the discrete-time Geo/Geo/1 queuing system with sojourn time-dependent reward // Operations Research perspectives. 2017. Vol. 4. P. 113–117.</mixed-citation></citation-alternatives></ref><ref id="B7"><label>7.</label><citation-alternatives><mixed-citation xml:lang="en">Guial K.L.L., Bantang J.Y., Saloma C.A. Identifying critical transient traffic intensity in a queuing system. Proceedings of the Samahang Pisika ng Pilipinas. Philippines, Western Digital Publ., 2017, pp. 20–25.</mixed-citation><mixed-citation xml:lang="ru">Graham B.S. An econometric model of network formation with degree heterogeneity // Econometrica. 2017. Vol. 85. № 4. P. 1033–1063.</mixed-citation></citation-alternatives></ref><ref id="B8"><label>8.</label><citation-alternatives><mixed-citation xml:lang="en">Andersson P.-A., Hermansson A., Tengvald E., Scalia-Tomba G.-P. Analysis and simulation of an urban bus route. Transportation Research Part A: General, 1979, vol. 13, no. 6, pp. 439–466.</mixed-citation><mixed-citation xml:lang="ru">Caspersen E., Johansen B.G., Hovi I.B., Jong G. Norwegian Logistics Model: Moving from a deterministic framework to a random utility model // TOI Report. 2016. № 1538. P. 60–69.</mixed-citation></citation-alternatives></ref><ref id="B9"><label>9.</label><citation-alternatives><mixed-citation xml:lang="en">Stepanchenko I.V., Krushel E.G., Panfilov A.E. The Passengers’ Turnout Simulation for the Urban Transport System Control Decision-Making Process. Communications in computer and information science: conference on creativity in intelligent technologies and data science. Volgograd, Springer Link Publ., 2017, pp. 389–398.</mixed-citation><mixed-citation xml:lang="ru">Cowie J., Ison S. The Routledge Handbook of Transport Economics. London: Routledge, 2018. 440 p.</mixed-citation></citation-alternatives></ref><ref id="B10"><label>10.</label><citation-alternatives><mixed-citation xml:lang="en">Yudin S.V. Matematika i ekonomiko-matematicheskie modeli [Mathematics and economic-mathematical models]. Moscow, Infra-M Publ., 2016. 376 p.</mixed-citation><mixed-citation xml:lang="ru">Логинова Н.А., Пырванов Х.П. Организация предпринимательской деятельности на транспорте. М.: Инфра-М, 2013. 260 с.</mixed-citation></citation-alternatives></ref><ref id="B11"><label>11.</label><citation-alternatives><mixed-citation xml:lang="en">Stubbs P.C., Tyson W.J., Dalvi M.Q. Transport Economics. London, Routledge Publ., 2017. 226 p.</mixed-citation><mixed-citation xml:lang="ru">Джаарбеков С.М. Бухгалтерский учет, налоги, хозяйственное право. М.: СБИ, 2001. 733 с.</mixed-citation></citation-alternatives></ref><ref id="B12"><label>12.</label><citation-alternatives><mixed-citation xml:lang="en">Erofeenko V.T., Kozlovskaya I.S. Uravneniya s chastnymi proizvodnymi i matematicheskie modeli v ekonomike [Partial differential Equations and mathematical models in Economics]. Moscow, Ogni Publ., 2016. 310 p.</mixed-citation><mixed-citation xml:lang="ru">Миротин Л.Б. Логистика в автомобильном транспорте. М.: ФЕНИКС, 2015. 240 с.</mixed-citation></citation-alternatives></ref><ref id="B13"><label>13.</label><citation-alternatives><mixed-citation xml:lang="en">Wallis I., Lawrence A. Forecasting Perth’s public transport patronage: econometric analysis and model development. Australasian Transport Research Forum. Australia, Department of Infrastructure and Regional Development Publ., 2016, pp. 15–22.</mixed-citation><mixed-citation xml:lang="ru">Троицкая Н.А., Чубуков А.Б. Единая транспортная система. М.: Академия, 2013. 240 c.</mixed-citation></citation-alternatives></ref><ref id="B14"><label>14.</label><citation-alternatives><mixed-citation xml:lang="en">Ablanskaya L.V., Babeshko L.O., Bausov L.I. Ekonomiko-matematicheskoe modelirovanie [Economic-mathematical modeling]. Moscow, Ekzamen Publ., 2014. 800 p.</mixed-citation><mixed-citation xml:lang="ru">Российский статистический ежегодник. 2017: статистический сборник. М.: Росстат, 2017. 725 с.</mixed-citation></citation-alternatives></ref><ref id="B15"><label>15.</label><citation-alternatives><mixed-citation xml:lang="en">Zhao F., Li M.-T., Chow L.-F., Zhang H. Simulation Model for Estimating Bus Dwell Time by Simultaneously Considering Numbers of Disembarking and Boarding Passengers. Transportation Research Record, 2006, no. 1971, pp. 59–65.</mixed-citation><mixed-citation xml:lang="ru">Cats O., Larijani A., Koutsopoulos H.N., Burghout W. Impacts of Holding Control Strategies on Transit Performance. Bus Simulation on Transit Performance // Transportation Research Record. 2011. № 2216. P. 51–58.</mixed-citation></citation-alternatives></ref><ref id="B16"><label>16.</label><citation-alternatives><mixed-citation xml:lang="en">Bakul K., Pal M. Bulk Service Queuing System with Impatient Customers: A Computational Approach. Thailand Statistician, 2017, vol. 15, no. 1, pp. 1–10.</mixed-citation><mixed-citation xml:lang="ru">Guial K.L.L., Bantang J.Y., Saloma C.A. Identifying critical transient traffic intensity in a queuing system // Proceedings of the Samahang Pisika ng Pilipinas. Philippines: Western Digital, 2017. P. 20–25.</mixed-citation></citation-alternatives></ref><ref id="B17"><label>17.</label><citation-alternatives><mixed-citation xml:lang="en">Lee D.H. A note on the optimal pricing strategy in the discrete-time Geo/Geo/1 queuing system with sojourn time-dependent reward. Operations Research perspectives, 2017, vol. 4, pp. 113–117.</mixed-citation><mixed-citation xml:lang="ru">Andersson P.-A., Hermansson A., Tengvald E., Scalia-Tomba G.-P. Analysis and simulation of an urban bus route // Transportation Research Part A: General. 1979. Vol. 13. № 6. P. 439–466.</mixed-citation></citation-alternatives></ref><ref id="B18"><label>18.</label><citation-alternatives><mixed-citation xml:lang="en">Graham B.S. An econometric model of network formation with degree heterogeneity. Econometrica, 2017, vol. 85, no. 4, pp. 1033–1063.</mixed-citation><mixed-citation xml:lang="ru">Stepanchenko I.V., Krushel E.G., Panfilov A.E. The Passengers’ Turnout Simulation for the Urban Transport System Control Decision-Making Process // Communications in computer and information science: conference on creativity in intelligent technologies and data science. Volgograd: Springer Link, 2017. P. 389–398.</mixed-citation></citation-alternatives></ref><ref id="B19"><label>19.</label><citation-alternatives><mixed-citation xml:lang="en">Caspersen E., Johansen B.G., Hovi I.B., Jong G. Norwegian Logistics Model: Moving from a deterministic framework to a random utility model. TOI Report, 2016, no. 1538, pp. 60–69.</mixed-citation><mixed-citation xml:lang="ru">Юдин С.В. Математика и экономико-математические модели. М.: Инфра-М, 2016. 376 c.</mixed-citation></citation-alternatives></ref><ref id="B20"><label>20.</label><citation-alternatives><mixed-citation xml:lang="en">Cowie J., Ison S. The Routledge Handbook of Transport Economics. London, Routledge Publ., 2018. 440 p.</mixed-citation><mixed-citation xml:lang="ru">Stubbs P.C., Tyson W.J., Dalvi M.Q. Transport Economics. London: Routledge, 2017. 226 p.</mixed-citation></citation-alternatives></ref></ref-list></back></article>
