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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 4, Pages 704–729
DOI: https://doi.org/10.7868/S0044466915040110 (Mi zvmmf10196) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Production model in the conditions of unstable demand taking into account the influence of trading infrastructure: Ergodicity and its application

N. K. Obrosovaa, A. A. Shananinb

a Dorodnicyn Computing Center, Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
b Moscow Institute of Physics and Technology (Technical University), Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia
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DOI: https://doi.org/10.7868/S0044466915040110
Abstract: A production model with allowance for a working capital deficit and a restricted maximum possible sales volume is proposed and analyzed. The study is motivated by an attempt to analyze the problems of functioning of low competitive macroeconomic structures. The model is formalized in the form of a Bellman equation, for which a closed-form solution is found. The stochastic process of product stock variations is proved to be ergodic and its final probability distribution is found. Expressions for the average production load and the average product stock are found by analyzing the stochastic process. A system of model equations relating the model variables to official statistical parameters is derived. The model is identified using data from the Fiat and KAMAZ companies. The influence of the credit interest rate on the firm market value assessment and the production load level are analyzed using comparative statics methods.
Key words: production model, Bellman equation, working capital deficit, ergodicity, firm market value assessment, stochastic process.
Received: 10.04.2014
Revised: 12.11.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 4, Pages 699–723
DOI: https://doi.org/10.1134/S0965542515040107
Bibliographic databases:
Document Type: Article
UDC: 519.677
MSC: Primary 90B30; Secondary 60H30, 91B38, 91B42
Language: Russian
Citation: N. K. Obrosova, A. A. Shananin, “Production model in the conditions of unstable demand taking into account the influence of trading infrastructure: Ergodicity and its application”, Zh. Vychisl. Mat. Mat. Fiz., 55:4 (2015), 704–729; Comput. Math. Math. Phys., 55:4 (2015), 699–723
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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