Parametric optimisation of food production taking into account time series characteristics
- Authors: Barsukova M.N.1, Ivan’o Y.M.1, Kovadlo I.A.1, Tsyrenzhapova V.V.1
-
Affiliations:
- Irkutsk State Agrarian University named after A.A. Ezhevsky
- Issue: Vol 29, No 3 (2025)
- Pages: 181-193
- Section: Math modeling
- Published: 15.06.2025
- URL: https://journals.eco-vector.com/2542-1468/article/view/706543
- DOI: https://doi.org/10.18698/2542-1468-2025-3-181-193
- ID: 706543
Cite item
Full Text
Abstract
The article considers modeling of time series characteristics related to obtaining food products based on statistical methods. The analyzed characteristics of time series are divided into three groups by dynamicstochastic properties: 1) characteristics of time series described by significant multilevel trends with significant coefficients of regression expressions; 2) characteristics of time series with higher dispersion than the characteristics of the first group; 3) characteristics of time series that are random or have significant low autocorrelation coefficients, for example, climatic and ecological ones. The revealed statistical patterns of the characteristics considered are presented. An algorithm for stochastic optimization of the parametric problem of food production under conditions of the transition of values of the time series characteristics of the model into events is proposed.
About the authors
Margarita N. Barsukova
Irkutsk State Agrarian University named after A.A. Ezhevsky
Author for correspondence.
Email: margarita1982@bk.ru
Cand. Sci. (Tech.), Associate Professor
Russian Federation, build. 1/1, Molodezhny settlement, 664038, Irkutsk district, Irkutsk reg.Yaroslav M. Ivan’o
Irkutsk State Agrarian University named after A.A. Ezhevsky
Email: iymex@rambler.ru
Dr. Sci. (Tech.), Professor
Russian Federation, build. 1/1, Molodezhny settlement, 664038, Irkutsk district, Irkutsk reg.Il’ya A. Kovadlo
Irkutsk State Agrarian University named after A.A. Ezhevsky
Email: kovadlo95@gmail.com
pg.
Russian Federation, build. 1/1, Molodezhny settlement, 664038, Irkutsk district, Irkutsk reg.Valentina V. Tsyrenzhapova
Irkutsk State Agrarian University named after A.A. Ezhevsky
Email: valyaigsha@mail.ru
pg.
Russian Federation, build. 1/1, Molodezhny settlement, 664038, Irkutsk district, Irkutsk reg.References
- Ksenofontov M.Yu., Polzikov D.A. K voprosu o vliyanii klimaticheskikh izmeneniy na razvitie sel’skogo khozyaystva Rossii v dolgosrochnoy perspective [On the issue of the impact of climate change on the development of Russian agriculture in the long term]. Problemy prognozirovaniya [Problems of forecasting], 2020, no. 3(180), pp. 82-92.
- Bagrov M.B. Prognozirovanie dinamiki sel’skogo khozyaystva po vremennym ryadam [Forecasting the dynamics of agriculture using time series]. Innovatsionnye tekhnologii kak osnova razvitiya agrarnogo obrazovaniya i APK regiona [Innovative technologies as the basis for the development of agricultural education and the agro-industrial complex of the region], Tver, June 01-03, 2010. Tverskaya gosudarstvennaya sel’skokhozyaystvennaya akademiya. T. 2. Tver’: Tverskaya gosudarstvennaya sel’skokhozyaystvennaya akademiya, 2010, pp. 151-152.
- Vays A.A. Osobennosti primeneniya regressionnykh uravneniy pri prognozirovanii urozhaynosti dikorastushchikh yagodnikov [Features of the use of regression equations in predicting the yield of wild berries]. Plodovodstvo, semenovodstvo, introduktsiya drevesnykh rasteniy [Fruit growing, seed production, introduction of woody plants], 2019, t. 22, pp. 26-30.
- Ivan’o Ya.M., Petrova S.A. Ob odnom algoritme vydeleniya anomal’nykh urovney vremennogo ryada dlya otsenki riskov [About one algorithm for identifying anomalous levels of a time series for risk assessment]. Aktual’nye voprosy agrarnoy nauki [Current issues of agricultural science], 2022, no. 42, pp. 48-57.
- Pissinato B., Vian K.E.F., Bobrovskaya T.V., Pereyra A.G. Ispol’zovanie vremennykh ryadov i novykh informatsionnykh tekhnologiy dlya prognozirovaniya pokazateley sel’skokhozyaystvennogo proizvodstva [Using time series and new information technologies for forecasting agricultural production indicators]. Vysokoproizvoditel’nye vychislitel’nye sistemy i tekhnologii [High-performance computing systems and technologies], 2021, t. 5, no. 1, pp. 284-291.
- Kasimova T.M. Issledovanie i prognozirovanie dinamiki pokazateley sel’skogo khozyaystva regiona na osnove modeley vremennykh ryadov i ryadov dinamiki [Research and forecasting of the dynamics of regional agricultural indicators based on models of time series and dynamics]. Fundamental’nye issledovaniya [Fundamental Research], 2018, no. 12-1, pp. 113-118.
- Bublik M.B. Strategicheskoe planirovanie v sel’skom khozyaystve: sushchnost’, preimushchestva, sovershenstvovanie [Strategic planning in agriculture: essence, advantages, improvement]. Nauchnyy vestnik gosudarstvennogo obrazovatel’nogo uchrezhdeniya Luganskoy Narodnoy Respubliki «Luganskiy natsional’nyy agrarnyy universitet» [Scientific Bulletin of the State Educational Institution of the Luhansk People’s Republic «Luhansk National Agrarian University»], 2018, no. 1, pp. 54-61.
- Bulatov V.P., Fedurina N.I. Matematicheskoe modelirovanie razvitiya i funktsionirovaniya regional’nykh system [Mathematical modeling of the development and functioning of regional systems]. Materialy Vserossiiskoi konferentsii «Infokommunikatsionnye i vychislitel’nye tekhnologii i sistemy» [Proceedings of the All-Russian Conference «Infocommunication and Computing Technologies and Systems»]. Ulan-Ude, 2003, ch. 1, pp. 12-16.
- Agibalov A.V., Ternovykh K.S. Agibalov A.V., Ternovykh K.S. Ekonomiko-matematicheskoe modelirovanie kak instrument strategicheskogo planirovaniya razvitiya sel’skikh territoriy [Economic and mathematical modeling as a tool for strategic planning of rural development]. APK: ekonomika, upravlenie [AIC: economics, management], 2022, no. 7, pp. 11-20.
- Tuskov A., Efimov I., Efimov P. Matematicheskie modeli i informatsionnye tekhnologii v Agropromyshlennyy kompleks regiona [Mathematical models and information technologies in the Agro-industrial complex of the region]. Vestnik Atyrauskogo universiteta imeni Kh. Dosmukhamedova [Bulletin of the Atyrau University named after H. Dosmukhamedov], 2023, t. 69, no. 2. pp. 63-73.
- Ivanyo Ya.M., Petrova S.A. Optimization models of food processing wild-growing products with expert assessments. Critical infrastructures: contingency management, intelligent, agent-based, cloud computing and cyber security (IWCI 2019), proceedings of the VI-th International Workshop. Melentiev Energy Systems Institute of Siberian Branch of the Russian Academy of Sciences, 2019, pp. 108-113.
- Druzhinin I.P., Smaga V.R., Shevnin A.N. Dinamika mnogoletnikh kolebaniy rechnogo stoka [Dynamics of long-term fluctuations in river flow]. Moscow: Nauka, 1991, 176 p.
- Volkov A.V., Shikov S.A., Temaeva O.O. Algoritm dolgovremennogo kontrolya putem vydeleniya trendovoy, periodicheskoy i sluchaynoy sostavlyayushchikh vremennykh ryadov [Algorithm for long-term control by identifying trend, periodic and random components of time series]. Nauchno-tekhnicheskiy vestnik Povolzh’ya [Scientific and Technical Bulletin of the Volga Region], 2020, no. 8, pp. 32-35.
- Zayats O.A., Rogachev A.F. Vyyavlenie statsionarnosti vremennykh ryadov urozhaynosti metodami teorii sluchaynykh protsessov [Detecting the stationarity of yield time series using the methods of the theory of random processes]. Novye napravleniya v reshenii problem APK na osnove sovremennykh resursosberegayushchikh, innovatsionnykh tekhnologiy: Materialy Mezhdunarodnoy nauchno-prakticheskoy konferentsii, posvyashchennoy 65-letiyu Pobedy v Velikoy Otechestvennoy voyne [New directions in solving problems of the agro-industrial complex based on modern resource-saving, innovative technologies: Proceedings of the International Scientific and Practical Conference dedicated to the 65th anniversary of Victory in the Great Patriotic War], Volgograd, January 26-28, 2010. T. 4. Volgograd: Volgogradskiy gosudarstvennyy agrarnyy universitet, 2010, pp. 222-225.
- Lichko K.P., Romanyuk M.A., Markin M.M. Optimizatsiya sistem vedeniya sel’skogo khozyaystva [Optimization of agricultural systems]. Vestnik Moskovskoy gosudarstvennoy akademii delovogo administrirovaniya. Seriya: Ekonomikam [Bulletin of the Moscow State Academy of Business Administration. Series: Economics], 2012, no. 6(18), pp. 141-151.
- Kravets A.G., Sal’nikova N.A. Predskazatel’noe modelirovanie trendov tekhnologicheskogo razvitiya [Predictive modeling of technological development trends]. Izvestiya Sankt-Peterburgskogo gosudarstvennogo tekhnologicheskogo instituta (tekhnicheskogo universiteta) [News of the St. Petersburg State Technological Institute (Technical University)], 2020, no. 55 (81), pp. 103-108.
- Nesterenko E.A., Kiselev M.V. Novyy vzglyad na problemy ekonomicheskogo prognozirovaniya v usloviyakh neopredelennosti [A new look at the problems of economic forecasting in conditions of uncertainty]. Vestnik Saratovskogo gosudarstvennogo sotsial’no-ekonomicheskogo universiteta [Bulletin of the Saratov State Socio-Economic University], 2019, no. 3 (77), pp. 164-167.
- Shein E.V., Rusanov A.M., Milanovskiy E.Yu. Matematicheskie modeli nekotorykh pochvennykh kharakteristik: obosnovanie, analiz, osobennosti ispol’zovaniya parametrov modeley [Mathematical models of some soil characteristics: justification, analysis, features of using model parameters]. Pochvovedenie [Soil Science], 2013, no. 5, р. 595.
- Ten’kovskaya L.I. Metodologiya optimizatsii vnutrennikh i vneshnikh faktorov sel’skogo khozyaystva [Methodology for optimizing internal and external factors of agriculture]. Innovatsionnaya nauka [Innovative science], 2016, no. 2-2, pp. 111-116.
- Rodnina N.V. Metodologicheskie osobennosti prognozirovaniya regional’nogo APK na sovremennom etape: problemy, resheniya [Methodological features of forecasting the regional agro-industrial complex at the present stage: problems, solutions]. APK: ekonomika, upravlenie [Agro-industrial complex: economics, management], 2021, no. 10, pp. 72-79.
- Yudin D.B. Matematicheskie metody upravleniya v usloviyakh nepolnoy informatsii [Mathematical methods of control under conditions of incomplete information]. Moscow: Sovetskoe radio [Soviet Radio], 1974, 400 p.
- Ivan’o Ya.M., Barsukova M.N., Petrova S.A. Ob odnoy modeli optimizatsii proizvodstva agrarnoy produktsii v blagopriyatnykh i neblagopriyatnykh vneshnikh usloviyakh [On one model for optimizing the production of agricultural products in favorable and unfavorable external conditions]. Informatsionnye i matematicheskie tekhnologii v nauke i upravlenii [Information and mathematical technologies in science and management], 2020, no. 3 (19), pp. 73-85.
- Abdullaev R.A., Mevlyut I.Sh. Modelirovanie v sisteme upravleniya proizvodstvennymi resursami v sel’skom khozyaystve [Modeling in the production resource management system in agriculture]. Uchenye zapiski Krymskogo inzhenerno-pedagogicheskogo universiteta [Scientific notes of the Crimean Engineering and Pedagogical University], 2018, no. 3 (61), pp. 9-15.
- Barsukova M.N., Ivan’o Ya.M., Stolopova Yu.V., Petrova S.A. Zadacha parametricheskogo programmirovaniya s modelyami prognozirovaniya urozhaynosti sel’skokhozyaystvennykh kul’tur [The problem of parametric programming with models for predicting the yield of agricultural crops]. Prikladnaya informatika [Applied Informatics], 2021, t. 16, no. 6 (96), pp. 131-143.
- Biryukova N.V., Zav’yalova A.V. Matematicheskoe modelirovanie v sel’skom khozyaystve [Mathematical modeling in agriculture]. Mir Innovatsiy [World of Innovations], 2022, no. 2, pp. 40-44.
- Polkovskaya M.N. Planirovanie proizvodstva rastenievodcheskoy produktsii s uchetom izmenchivosti urozhaynosti sel’skokhozyaystvennykh kul’tur [Planning the production of crop products taking into account the variability of agricultural crop yields]. Vestnik IrGSKhA [Bulletin of the Irkutsk State Agricultural Academy], 2024, no. 122, pp. 49-57.
- Snezhko I.I. Tsifrovaya model’ agropromyshlennogo khozyaystva: innovatsionnyy podkhod k uluchsheniyu upravleniya i proizvodstva v sel’skom khozyaystve [Digital model of agro-industrial economy: an innovative approach to improving management and production in agriculture]. Sbornik trudov, priurochennykh k 77-y vserossiyskoy studencheskoy nauchno-prakticheskoy konferentsii, posvyashchennoy 150-letiyu so dnya rozhdeniya Alekseya Grigor’evicha Doyarenko [Collection of papers dedicated to the 77th All-Russian student scientific and practical conference dedicated to the 150th anniversary of the birth of Aleksey Grigorievich Doyarenko]. Moscow, March 12-14. Moscow: Rossiyskiy gosudarstvennyy agrarnyy universitet, 2024, pp. 140-142.
- Berezina A. V. Osobennosti identifikatsii vneshnikh proizvodstvennykh riskov [Features of identification of external production risks]. Vestnik Samarskogo gosudarstvennogo universiteta putey soobshcheniya [Bulletin of the Samara State University of Transport], 2010, v. 3 (9), pp.10-13.
- Telegina Zh.A. Prioritetnye instrumenty upravleniya proizvodstvennymi riskami v usloviyakh tsifrovoy transformatsii sel’skogo khozyaystva [Priority Tools for Managing Production Risks in the Context of Digital Transformation of Agriculture]. Ekonomika sel’skogo khozyaystva Rossii [Agricultural Economics of Russia], 2021, no. 12, pp. 19-25.
- Abdullaev R.A., Mevlyut I.Sh. Modelirovanie v sisteme upravleniya proizvodstvennymi resursami v sel’skom khozyaystve [Modeling in the Production Resource Management System in Agriculture]. Uchenye zapiski Krymskogo inzhenerno-pedagogicheskogo universiteta [Scientific Notes of the Crimean Engineering and Pedagogical University], 2018, no. 3(61), pp. 9-15.
- Garmash A.N., Orlova I.V., Fedoseev V.V. Ekonomiko-matematicheskie metody i prikladnye modeli [Economic and Mathematical Methods and Applied Models]. Moscow: Yurayt, 2022, 328 p.
- Blokhinov E.G. Raspredelenie veroyatnostey velichin rechnogo stoka [Probability distribution of river flow values]. Moscow: Nauka, 1974, 169 p.
- Rozhdestvenskii A.V. Otsenka tochnosti krivykh raspredeleniya gidrologicheskikh kharakteristik [Assessment of the Accuracy of Distribution Curves of Hydrological Characteristics]. Leningrad: Gidrometeoizdat, 1977, 270 p.
- Zalyazhnykh V.V. Rasshirenie oblasti primeneniya kriteriya Irvina pri obnaruzhenii anomal’nykh izmereniy [Expanding the scope of application of the Irwin criterion in detecting anomalous measurements]. Vestnik SibGUTI [Bulletin of SibSUTI], 2020, no. 2(50), pp. 95-100.
- Usenko L.N. Rol’ statistiki v sozdanii metodologii issledovaniy v sel’skom khozyaystve Rossii: ot obshchinnogo khozyaystva do tsifrovoy ekonomiki [The role of statistics in creating a research methodology in Russian agriculture: from communal farming to the digital economy]. Uchet i statistika [Accounting and statistics], 2019, no. 2 (54), pp. 9-15.
Supplementary files


