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 Tr. Mat. Inst. Steklova, 2008, Volume 262, Pages 64–72 (Mi tm765)

Optimization of Two-Step Investment in a Production Process

N. L. Grigorenko, D. V. Kamzolkin, D. G. Pivovarchuk

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Abstract: We consider the problem of optimizing the control of a production process. The control parameters are the capacity utilization and the investment in the growth of the production capacity. We assume that the investments are divided into two parts: initial investment aimed at creating production facilities, and investment aimed at increasing the capacity during the production process. The initial and increased capacities and the moment of changing the capacity are variable parameters to be specified. The price of the product is assumed to be a random process. The problem is to optimize the production process and to construct a control strategy that maximizes the average discounted profit. We propose an approach to the construction of an optimal adaptive strategy for controlling the production. The approach is based on the dynamic programming method.

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English version:
Proceedings of the Steklov Institute of Mathematics, 2008, 262, 58–65

Bibliographic databases:

UDC: 517.977+519.857.3

Citation: N. L. Grigorenko, D. V. Kamzolkin, D. G. Pivovarchuk, “Optimization of Two-Step Investment in a Production Process”, Optimal control, Collected papers. Dedicated to professor Viktor Ivanovich Blagodatskikh on the occation of his 60th birthday, Tr. Mat. Inst. Steklova, 262, MAIK Nauka/Interperiodica, Moscow, 2008, 64–72; Proc. Steklov Inst. Math., 262 (2008), 58–65

Citation in format AMSBIB
\Bibitem{GriKamPiv08} \by N.~L.~Grigorenko, D.~V.~Kamzolkin, D.~G.~Pivovarchuk \paper Optimization of Two-Step Investment in a~Production Process \inbook Optimal control \bookinfo Collected papers. Dedicated to professor Viktor Ivanovich Blagodatskikh on the occation of his 60th birthday \serial Tr. Mat. Inst. Steklova \yr 2008 \vol 262 \pages 64--72 \publ MAIK Nauka/Interperiodica \publaddr Moscow \mathnet{http://mi.mathnet.ru/tm765} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2489727} \zmath{https://zbmath.org/?q=an:1162.49035} \transl \jour Proc. Steklov Inst. Math. \yr 2008 \vol 262 \pages 58--65 \crossref{https://doi.org/10.1134/S0081543808030061} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000262228000005} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-53849121608} 

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This publication is cited in the following articles:
1. N. N. Subbotina, T. B. Tokmantsev, “Estimating error of the optimal grid design in the problems of nonlinear optimal control of prescribed duration”, Autom. Remote Control, 70:9 (2009), 1565–1578
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