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Analysis of the Model of Optimal Expansion of a Firm

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Advances in Optimization and Applications (OPTIMA 2022)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1739))

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Abstract

In this paper we study a production expansion problem in different cases, including stochastic. The problem for the producer is to choose optimal way of investment in the production expansion. Different optimal control methods to study these cases are reviewed and the limits of their applicability are considered. We extend the analysis to the case of stochastic gain for investment, where the problem is set in continuous and discrete time with various assumptions. For the discrete time version we find the exact solution which has the same structure as in the deterministic model. In the continuous time we currently present the asymptotic analysis and study the specifics of the solution with respect to the terminal value.

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Acknowledgment

The research by Aleksandra Zhukova in section 6 was supported by RSCF grant No. 22-21-00746.

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Authors and Affiliations

  1. Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Vavilov str, 44, bld. 2, Moscow, Russia

    Anna Flerova & Aleksandra Zhukova

Authors
  1. Anna Flerova
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  2. Aleksandra Zhukova
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Corresponding author

Correspondence to Aleksandra Zhukova .

Editor information

Editors and Affiliations

  1. FRC CSC RAS, Moscow, Russia

    Nicholas Olenev

  2. FRC CSC RAS, Moscow, Russia

    Yuri Evtushenko

  3. University of Montenegro, Podgorica, Montenegro

    Milojica Jaćimović

  4. Krasovsky Institute of Mathematics and Mechanics, Ekaterinburg, Russia

    Michael Khachay

  5. FRC CSC RAS, Moscow, Russia

    Vlasta Malkova

  6. FRC CSC RAS, Moscow, Russia

    Igor Pospelov

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Flerova, A., Zhukova, A. (2022). Analysis of the Model of Optimal Expansion of a Firm. In: Olenev, N., Evtushenko, Y., Jaćimović, M., Khachay, M., Malkova, V., Pospelov, I. (eds) Advances in Optimization and Applications. OPTIMA 2022. Communications in Computer and Information Science, vol 1739. Springer, Cham. https://doi.org/10.1007/978-3-031-22990-9_8

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  • DOI: https://doi.org/10.1007/978-3-031-22990-9_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-22989-3

  • Online ISBN: 978-3-031-22990-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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