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<article article-type="research-article" dtd-version="1.3" 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" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">economyprom</journal-id><journal-title-group><journal-title xml:lang="ru">Экономика промышленности / Russian Journal of Industrial Economics</journal-title><trans-title-group xml:lang="en"><trans-title>Russian Journal of Industrial Economics</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2072-1633</issn><issn pub-type="epub">2413-662X</issn><publisher><publisher-name>MISIS</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17073/2072-1633-2019-3-316-322</article-id><article-id custom-type="elpub" pub-id-type="custom">economyprom-776</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Экономика предприятий</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Business economics</subject></subj-group></article-categories><title-group><article-title>Экономико-математическое моделирование как эффективный инструмент анализа экономических процессов в промышленности</article-title><trans-title-group xml:lang="en"><trans-title>Economic and mathematical modeling as an effective tool of the analysis of economic processes in industry</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Кулясова</surname><given-names>А. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Kulyasova</surname><given-names>A. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Кулясова Анна Сергеевна – кандидат экономических наук</p><p>109316, Москва, Волгоградский просп., д. 43, корп. 3</p></bio><bio xml:lang="en"/><email xlink:type="simple">sergeevnanna@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Есина</surname><given-names>А. Р.</given-names></name><name name-style="western" xml:lang="en"><surname>Esina</surname><given-names>A. R.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Есина Алла Ростиславовна – кандидат экономических наук, доцент</p><p>117997, Москва, Стремянный пер., д. 36</p></bio><bio xml:lang="en"><p>36 Stremianniy Per., Moscow 117997, Russia</p></bio><email xlink:type="simple">allache@mail.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Свирчевский</surname><given-names>В. Д.</given-names></name><name name-style="western" xml:lang="en"><surname>Svirchevskiy</surname><given-names>V. D.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Свирчевский Вадим Дмитриевич – кандидат экономических наук, доцент</p><p>117997, Москва, Стремянный пер., д. 36</p></bio><bio xml:lang="en"><p>36 Stremianniy Per., Moscow 117997, Russia</p></bio><email xlink:type="simple">vad_1@bk.ru</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>ООО «ХайТэк»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Hi-Tech LLC</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>ФГБОУ ВО «РЭУ им. Г.В. Плеханова»</institution><country>Россия</country></aff><aff xml:lang="en"><institution>Industrial Economics Plekhanov Russian University of Economics</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2019</year></pub-date><pub-date pub-type="epub"><day>26</day><month>09</month><year>2019</year></pub-date><volume>12</volume><issue>3</issue><fpage>316</fpage><lpage>322</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Кулясова А.С., Есина А.Р., Свирчевский В.Д., 2019</copyright-statement><copyright-year>2019</copyright-year><copyright-holder xml:lang="ru">Кулясова А.С., Есина А.Р., Свирчевский В.Д.</copyright-holder><copyright-holder xml:lang="en">Kulyasova A.S., Esina A.R., Svirchevskiy V.D.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://ecoprom.misis.ru/jour/article/view/776">https://ecoprom.misis.ru/jour/article/view/776</self-uri><abstract><p>В условиях нестабильности рыночной конъюнктуры важной проблемой для промышленных предприятий является вопрос создания эффективного механизма распределения ресурсов. В статье приводится пример использования индивидуально-адаптированной экономико-математической модели прогнозирования будущих затрат на материалы и покупные изделия, учитывающей как внутренние, так и внешние экономические факторы, влияющие на результирующие плановые показатели. С целью создания эффективной прогнозной модели рассмотрены статистические данные одного из высокотехнологичных предприятий радиоэлектронной промышленности за период с 2009 по 2016 гг., в результате чего выявлено наличие статистических закономерностей, касающихся характера распределения анализируемых данных. На основе рассчитанных параметров распределения осуществлена процедура прогнозирования методом экспоненциального сглаживания и получена общая прогнозная величина затрат на материалы и покупные изделия. Использование элементов теории вероятностей и математической статистики, а также методов прогнозирования временных рядов в качестве базовых методов модели позволило учесть вероятностные экономические факторы, такие, например, как изменение курса иностранной валюты, а также наличие брака в процессе производства. Применение специального математического аппарата обеспечило возможность создания гибкой индивидуально-адаптированной модели прогнозирования затрат на материалы и покупные изделия. В результате, применения разработанной модели для прогнозирования затрат на материалы и покупные изделия на одном из промышленных предприятий было выявлено, что погрешность анализируемой модели ниже погрешности метода, используемого на предприятии в настоящее время. Таким образом, установлено, что экономико-математическая модель позволяет повысить эффективность плановой системы предприятия и обеспечить рациональное распределение ресурсов путем повышения точности процесса прогнозирования.</p></abstract><trans-abstract xml:lang="en"><p>In conditions of market volatility, an important issue for industrial enterprises is the issue of creating an efficient resource allocation mechanism. The article gives an example about using of individually adapted economic and mathematical model for forecasting the cost of materials and purchased products, that takes into account both internal and external factors affecting the planning figures. In order to create an effective predictive model, an analysis was conducted of statistical data for the period from 2009 to 2016, data was represented by high-tech enterprises of the radioelectronic industry. As a result of analysis it was revealed the presence of statistical regularities in the nature of the distribution of the analyzed data.</p><p>On the basis of the calculated distribution parameters, a prediction procedure was performed using the exponential smoothing method and the total projected cost of materials and purchased products was obtained. The use of elements of probability theory and mathematical statistics, as well as methods for forecasting time series as basic methods of the model allows to take into account probabilistic economic factors, such as, for example, a change in the exchange rate of a foreign currency, as well as the presence of defects in the production process. Application of a special mathematical apparatus provides an ability to create a flexible, individually-adapted forecasting model. As a result of application of the model intended for forecasting the cost of materials and purchased products at one of industry enterprises it was revealed that the developed model has lover calculation error than the method that is used at the enterprise at present. Thus economic and mathematical model allows increasing the efficiency of the enterprise’s planned system and ensuring a rational resource allocation by increasing the accuracy of the forecasting process.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>нестабильная экономическая конъюнктура</kwd><kwd>промышленное предприятие</kwd><kwd>математическое моделирование</kwd><kwd>прогнозирование</kwd></kwd-group><kwd-group xml:lang="en"><kwd>volatile economic environment</kwd><kwd>industrial enterprise</kwd><kwd>mathematical modeling</kwd><kwd>forecasting</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Симачев Ю.В., Кузык Н.Н., Зудин М.Г. Импортозависимость и импортозамещение в российской обрабатывающей промышленности: взгляд бизнеса // ФОРСАЙТ. 2016. Т. 10. № 4. С. 25–45.</mixed-citation><mixed-citation xml:lang="en">Simachev Y.V., Kuzyk N.N., Zudin M.G. Import Dependence and Import Substitution in Russian Manufacturing: A Business Viewpoint. Foresight and STI Governance. 2016. Vol. 10. No. 4. Pp. 25–45. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Пименов В.В., Быстров А.В., Калиматова Л.Б. Инструменты развития промышленной политики России на современном этапе трансформации экономики // Вестник Российского экономического университета имени Г.В. Плеханова. 2017. № 1. С. 105–116.</mixed-citation><mixed-citation xml:lang="en">Pimenov V.V., Bystrov A.V., Kalimatova L.B. Tools necessary to develop industrial policy of Russia at the current stage of economy transformation. Vestnik of the Plekhanov Russian University of Economics. 2017. No. 1. Pp. 105–116. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Быстров А.В., Свирчевский В.Д., Худяков С.В., Есина А.Р. Тренды экономики промышленности России. Промышленное производство в 2018 году. Общие тенденции // Статья в открытом архиве. 2019. № 3. DOI: 10.21686/prom/3.2019</mixed-citation><mixed-citation xml:lang="en">Bystrov A.V., Svirchevskiy V.D., Khudyakov S.V., Esina A.R. Trends in Russian industrial economics. Industrial production in 2018. General trends. Stat’ya v otkrytom arkhive. 2019. No. 3. (In Russ.). DOI: 10.21686/prom/3.2019</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Кулясова А.С. Russian state policy in the sphere of radio-electronic production // РИСК: Ресурсы, Информация, Снабжение, Конкуренция. 2016. № 1. С. 163–165.</mixed-citation><mixed-citation xml:lang="en">Kyliasova A.S. Russian state policy in the sphere of radio-electronic production. RISK: Resursy, Informatsiya, Snabzhenie, Konkurentsiya = RISK: Resursy, Informatsiya, Mnabzheniye, Konkurentsiya. 2016. No. 1. Pp. 163–165.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Porter М. Competitive Strategy. Techniques for Analyzing Industries and Competitors. N.Y.; London; Toronto; Sydney; Singapore: Free Press, 1980. 397 р.</mixed-citation><mixed-citation xml:lang="en">Porter М. Competitive Strategy Techniques for Analyzing Industries and Competitors. New York; London; Toronto; Sydney; Singapore: Free Press, 1980. 397 р.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Быстров А.В., Пименов В.В., Калиматова Л.Б. Инструментарий обеспечения устойчивого развития высокотехнологичных предприятий в условиях современных вызовов и угроз // Научные исследования и разработки. Экономика фирмы. 2015. Т. 4. № 4. С. 4–13. DOI: 10.12737/18382</mixed-citation><mixed-citation xml:lang="en">Bystrov A.V., Pimenov V.V., Kalimatova L.B. Tools for sustainable development of high-tech enterprises in the face of current challenges and threats. Research and development. Company Economics. 2015. Vol. 4. No. 4. Pp. 4–13. (In Russ.). DOI: 10.12737/18382</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Быстров А.В., Кулясова А.С., Свирчевский В.В., Волков В.И., Пименов В.В., Юсим В.Н., Игнатова Л.Н., Есина А.Р., Елина О.А., Болкина Г.И., Голубев В.В., Мамонтов Г.Д. Развитие системы внутрифирменного планирования на предприятиях радиоэлектронной промышленности. М.: РУСАЙНС, 2019. 120 с.</mixed-citation><mixed-citation xml:lang="en">Bystrov A.V., Kulyasova A.S., Svirchevsky V.V., Volkov V.I., Pimenov V.V., Yusim V.N., Ignatova L.N., Esina A.R., Elina O .A., Bolkina G.I., Golubev V.V., Mamontov G.D. Razvitiye sistemy vnutrifirmennogo planirovaniya na predpriyatiyakh radioelektronnoy promyshlennosti [Development of the internal planning system at the enterprises of the electronic industry]. Moscow: RUSAYNS, 2019. 120 p. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Сугарова И.В. Содержание бюджетного планирования расходов // TERRA ECONOMICUS. 2013. № 3-3. С. 74–78.</mixed-citation><mixed-citation xml:lang="en">Sugarova I.V. Contents of budget expenditure planning. TERRA ECONOMICUS. 2013. No. 3-3. Pp. 74–78. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Steiner G.A. Top Management Planning. N.Y.: Macmillan, 1969. 800 p.</mixed-citation><mixed-citation xml:lang="en">Steiner G.A. Top Management Planning. New York: Macmillan, 1969. 800 p.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Bystrov A.V., Yusim V.N., Curtis T. Macroconstants ofdevelopment’: anewbenchmarkforthestrategicdevelopment of advanced countries and firms // International Journal of Business and Globalisation. 2017. V. 18. N. 2. P. 167–181. DOI: 10.1504/IJBG.2017.081957</mixed-citation><mixed-citation xml:lang="en">Bystrov A.V., Yusim V.N., Curtis T. Macroconstants of development’: a new benchmark for the strategic development of advanced countries and firms. International Journal of Business and Globalisation. 2017. Vol. 18. No. 2. Pp. 167–181. DOI: 10.1504/IJBG.2017.081957</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Ливандовская А.Д. Экономика и математика: их взаимодействие // Вестник Тихоокеанского Государственного экономического университета. 2008. № 4(48). С. 90–98.</mixed-citation><mixed-citation xml:lang="en">Livandovskaya A.D. Economics and Mathematics: Their Interaction. Vestnik Tikhookeanskogo Gosudarstvennogo ekonomicheskogo universiteta = Bulletin of the Pacific State Economic University. 2008. No. 4. Pp. 90–98. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Samuelson P.A., Koopmans T.C., Stone J.R.N. Report of the evaluative Committee for Econometrica // Econometrica. 1954. N 2. P. 141–146.</mixed-citation><mixed-citation xml:lang="en">Samuelson P.A., Koopmans T.C., Stone J.R.N. Report of the evaluative Committee for Econometrica. Econometrica. 1954. No. 2. Pp. 141–146.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Кулясова А.С. Использование элементов прикладного статистического анализа с целью осуществления процесса прогнозирования в экономических исследованиях // Экономика и предпринимательство. 2016. № 12-3. С. 920–922.</mixed-citation><mixed-citation xml:lang="en">Kyliasova A.S. Using of elements of applied statistical analysis in the process of forecasting in economic research. Journal of economy and entrepreneurship. 2016. No. 12-3. Pp. 920–922. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Быстров А.В., Свирчевский В.Д., Юсим В.Н. Кластерная политика динамической оптимизации высокотехнологичных отраслей промышленности в условиях вынужденной автаркии // В сб.: Современная экономика: концепции и модели инновационного развития материалы VII Международной научно-практической конференции. М.: РЭУ им. Г.В. Плеханова, 2015. С. 371–378.</mixed-citation><mixed-citation xml:lang="en">Bystrov A.V., Svirchevskiy V.D., Yusim V.N. Klasternaya politika dinamicheskoi optimizatsii vysokotekhnologichnykh otraslei promyshlennosti v usloviyakh vynuzhdennoi avtarkii [Cluster policy of dynamic optimization of high-tech industries in the context of forced autarky]. In: Modern Economics: Concepts and Models of Innovative Development Materials of the VII International Scientific and Practical Conference. Moscow: REU im. G.V. Plekhanova, 2015. Pp. 371–378. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Kyliasova A.S. Automation processes in the sphere of creation of hightech radio communication systems in the radio-electronic production industry // Экономика и предпринимательство. 2017. № 2-1. C. 1174–1176.</mixed-citation><mixed-citation xml:lang="en">Kyliasova A.S. Automation processes in the sphere of creation of hightech radio communication systems in the radio-electronic production industry. Journal of Economy and entrepreneurship. 2017. No. 2-1. Pp. 1174– 1176.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Куликов Е.И. Прикладной статистический анализ: учеб. пособие для вузов. М.: Горячая линия – Телеком, 2008. 464 с.</mixed-citation><mixed-citation xml:lang="en">Kulikov E.I., Prikladnoj statisticheskij analiz: uchebnoe posobie dlya vuzov [Applied statistical analysis]. Moscow: Goryachaya liniya – Telekom, 2008, 464 p. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Hyndman R.J., Koehler A.B., Ord J.K., Snyder R.D. Forecasting with Exponential Smoothing. The State Space Approach. Berlin; Heidelberg: Springer-Verlag, 2008. 360 p.</mixed-citation><mixed-citation xml:lang="en">Hyndman R.J., Koehler A.B., Ord J.K., Snyder R.D. Forecasting with Exponential Smoothing. The State Space Approach. Berlin; Heidelberg: SpringerVerlag, 2008. 360 p.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Kirchgässner G., Wolters J., Hassler U. Introduction to Modern Time Series Analysis. Springer, 2013. 325 p.</mixed-citation><mixed-citation xml:lang="en">Kirchgässner G., Wolters J., Hassler U. Introduction to Modern Time Series Analysis Springer, 2013. 325 p.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Ou S.O. A misconception about exponential smoothing // The Journal of Business Forecasting Methods &amp; Systems. 1997. V. 15. N 4. Р.15–16.</mixed-citation><mixed-citation xml:lang="en">Ou S.O. A misconception about exponential smoothing. The Journal of Business Forecasting Methods &amp; Systems. 1997. Vol. 15. No. 4. Рр. 15–16.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Gardner E.S. Exponential smoothing: The state of the art // Journal of Forecasting. 1985. V. 4. Iss. 1. P. 1–28.</mixed-citation><mixed-citation xml:lang="en">Gardner (Jr) E. S. Exponential smoothing: The state of the art. Journal of Forecasting. 1985. Vol. 4. No. 1. Pp. 1–28.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Makridakis S., Andersen A., Carbone R., Fildes R., Hibon M., Lewandowski R., Newton J., Parzen E., Winkler R. The accuracy of extrapolation (time series) methods: Results of a forecasting competition // Journal of Forecasting. 1982. V. 1. Iss. 2. P. 111–153. DOI: 10.1002/for.3980010202</mixed-citation><mixed-citation xml:lang="en">Makridakis S., Andersen A., Carbone R., Fildes R., Hibon M., Lewandowski R., Newton J., Parzen E., Winkler R. The accuracy of extrapolation (time series) methods: results of a forecasting competition. Journal of Forecasting. 1982. Vol. 1. No. 2. Pp. 111–153. DOI: 10.1002/for.3980010202</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Billah B., Hyndman R.J., Koehler A.B. Empirical information criteria for time series forecasting model selection // Journal of Statistical Computation and Simulation. 2005. V. 75. N 10. Р. 831–840.</mixed-citation><mixed-citation xml:lang="en">Billah B., Hyndman R.J., Koehler A.B. Empirical information criteria for time series forecasting model selection. Journal of Statistical Computation and Simulation. 2005. Vol. 75. No. 10. Рр. 831–840.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Cotton D. Keys to management. Harlow: Longman, 2008. 224 p.</mixed-citation><mixed-citation xml:lang="en">Cotton D. Keys to management. Harlow: Longman, 2008. 224 p.</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Bystrov A.V., Yusim V.N., Curtis T. Macroconstants of development: a new benchmark for the strategic development of advanced countries and firms // International Journal of Business and Globalisation. 2017. V. 18. N 2. P. 167–181.</mixed-citation><mixed-citation xml:lang="en">Bystrov A.V., Yusim V. N., Curtis T. Macro constants of development: a new benchmark for the strategic development of advanced countries and firms. International Journal of Business and Globalisation. 2017. Vol. 18. No. 2. Pp. 167–181.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Levin R.I., Rubin D.S. Statistics for management. Englewood Cliffs: Prentice Hall, Inc., 1994. 361 p.</mixed-citation><mixed-citation xml:lang="en">Levin R.I., Rubin D.S. Statistics for management. Englewood Cliffs: Prentice Hall, Inc., 1994. 361 p.</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
